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@ -43,22 +43,6 @@ |
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namespace glm |
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{ |
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// matrixCompMult |
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template <typename matType> |
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GLM_FUNC_QUALIFIER matType matrixCompMult |
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matType const & x, |
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matType const & y |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<typename matType::value_type>::is_iec559, "'matrixCompMult' only accept floating-point inputs"); |
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matType result(matType::_null); |
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for(length_t i = 0; i < result.length(); ++i) |
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result[i] = x[i] * y[i]; |
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return result; |
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} |
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// outerProduct |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tmat2x2<T, P> outerProduct |
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@ -237,254 +221,236 @@ namespace glm |
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return m; |
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} |
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namespace detail |
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{ |
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template <template <class, precision> class matType, typename T, precision P> |
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struct compute_transpose{}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tmat2x2<T, P> transpose |
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( |
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detail::tmat2x2<T, P> const & m |
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) |
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struct compute_transpose<detail::tmat2x2, T, P> |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'transpose' only accept floating-point inputs"); |
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detail::tmat2x2<T, P> result(detail::tmat2x2<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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return result; |
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} |
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static detail::tmat2x2<T, P> call(detail::tmat2x2<T, P> const & m) |
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{ |
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detail::tmat2x2<T, P> result(detail::tmat2x2<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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return result; |
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} |
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}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tmat3x3<T, P> transpose |
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( |
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detail::tmat3x3<T, P> const & m |
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) |
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struct compute_transpose<detail::tmat2x3, T, P> |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'transpose' only accept floating-point inputs"); |
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detail::tmat3x3<T, P> result(detail::tmat3x3<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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result[2][2] = m[2][2]; |
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return result; |
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} |
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static detail::tmat3x2<T, P> call(detail::tmat2x3<T, P> const & m) |
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{ |
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detail::tmat3x2<T, P> result(detail::tmat3x2<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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return result; |
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} |
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}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tmat4x4<T, P> transpose |
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( |
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detail::tmat4x4<T, P> const & m |
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) |
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struct compute_transpose<detail::tmat2x4, T, P> |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'transpose' only accept floating-point inputs"); |
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detail::tmat4x4<T, P> result(detail::tmat4x4<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[0][3] = m[3][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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result[1][3] = m[3][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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result[2][2] = m[2][2]; |
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result[2][3] = m[3][2]; |
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result[3][0] = m[0][3]; |
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result[3][1] = m[1][3]; |
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result[3][2] = m[2][3]; |
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result[3][3] = m[3][3]; |
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return result; |
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} |
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static detail::tmat4x2<T, P> call(detail::tmat2x4<T, P> const & m) |
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{ |
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detail::tmat4x2<T, P> result(detail::tmat4x2<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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result[3][0] = m[0][3]; |
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result[3][1] = m[1][3]; |
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return result; |
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} |
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}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tmat2x3<T, P> transpose |
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( |
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detail::tmat3x2<T, P> const & m |
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) |
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struct compute_transpose<detail::tmat3x2, T, P> |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'transpose' only accept floating-point inputs"); |
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detail::tmat2x3<T, P> result(detail::tmat2x3<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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return result; |
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} |
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static detail::tmat2x3<T, P> call(detail::tmat3x2<T, P> const & m) |
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{ |
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detail::tmat2x3<T, P> result(detail::tmat2x3<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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return result; |
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} |
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}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tmat3x2<T, P> transpose |
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( |
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detail::tmat2x3<T, P> const & m |
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) |
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struct compute_transpose<detail::tmat3x3, T, P> |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'transpose' only accept floating-point inputs"); |
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detail::tmat3x2<T, P> result(detail::tmat3x2<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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return result; |
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} |
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static detail::tmat3x3<T, P> call(detail::tmat3x3<T, P> const & m) |
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{ |
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detail::tmat3x3<T, P> result(detail::tmat3x3<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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result[2][2] = m[2][2]; |
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return result; |
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} |
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}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tmat2x4<T, P> transpose |
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( |
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detail::tmat4x2<T, P> const & m |
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) |
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struct compute_transpose<detail::tmat3x4, T, P> |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'transpose' only accept floating-point inputs"); |
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detail::tmat2x4<T, P> result(detail::tmat2x4<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[0][3] = m[3][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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result[1][3] = m[3][1]; |
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return result; |
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} |
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static detail::tmat4x3<T, P> call(detail::tmat3x4<T, P> const & m) |
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{ |
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detail::tmat4x3<T, P> result(detail::tmat4x3<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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result[2][2] = m[2][2]; |
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result[3][0] = m[0][3]; |
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result[3][1] = m[1][3]; |
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result[3][2] = m[2][3]; |
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return result; |
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} |
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}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tmat4x2<T, P> transpose |
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( |
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detail::tmat2x4<T, P> const & m |
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) |
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struct compute_transpose<detail::tmat4x2, T, P> |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'transpose' only accept floating-point inputs"); |
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detail::tmat4x2<T, P> result(detail::tmat4x2<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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result[3][0] = m[0][3]; |
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result[3][1] = m[1][3]; |
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return result; |
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} |
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static detail::tmat2x4<T, P> call(detail::tmat4x2<T, P> const & m) |
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{ |
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detail::tmat2x4<T, P> result(detail::tmat2x4<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[0][3] = m[3][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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result[1][3] = m[3][1]; |
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return result; |
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} |
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}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tmat3x4<T, P> transpose |
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( |
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detail::tmat4x3<T, P> const & m |
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) |
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struct compute_transpose<detail::tmat4x3, T, P> |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'transpose' only accept floating-point inputs"); |
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detail::tmat3x4<T, P> result(detail::tmat3x4<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[0][3] = m[3][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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result[1][3] = m[3][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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result[2][2] = m[2][2]; |
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result[2][3] = m[3][2]; |
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return result; |
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} |
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static detail::tmat3x4<T, P> call(detail::tmat4x3<T, P> const & m) |
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{ |
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detail::tmat3x4<T, P> result(detail::tmat3x4<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[0][3] = m[3][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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result[1][3] = m[3][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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result[2][2] = m[2][2]; |
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result[2][3] = m[3][2]; |
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return result; |
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} |
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}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tmat4x3<T, P> transpose |
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( |
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detail::tmat3x4<T, P> const & m |
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) |
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struct compute_transpose<detail::tmat4x4, T, P> |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'transpose' only accept floating-point inputs"); |
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static detail::tmat4x4<T, P> call(detail::tmat4x4<T, P> const & m) |
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{ |
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detail::tmat4x4<T, P> result(detail::tmat4x4<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[0][3] = m[3][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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result[1][3] = m[3][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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result[2][2] = m[2][2]; |
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result[2][3] = m[3][2]; |
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result[3][0] = m[0][3]; |
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result[3][1] = m[1][3]; |
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result[3][2] = m[2][3]; |
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result[3][3] = m[3][3]; |
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return result; |
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} |
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}; |
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detail::tmat4x3<T, P> result(detail::tmat4x3<T, P>::_null); |
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result[0][0] = m[0][0]; |
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result[0][1] = m[1][0]; |
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result[0][2] = m[2][0]; |
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result[1][0] = m[0][1]; |
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result[1][1] = m[1][1]; |
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result[1][2] = m[2][1]; |
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result[2][0] = m[0][2]; |
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result[2][1] = m[1][2]; |
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result[2][2] = m[2][2]; |
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result[3][0] = m[0][3]; |
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result[3][1] = m[1][3]; |
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result[3][2] = m[2][3]; |
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return result; |
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} |
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template <template <class, precision> class matType, typename T, precision P> |
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struct compute_determinant{}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER typename detail::tmat2x2<T, P>::value_type determinant |
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( |
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detail::tmat2x2<T, P> const & m |
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) |
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struct compute_determinant<detail::tmat2x2, T, P> |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'determinant' only accept floating-point inputs"); |
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return m[0][0] * m[1][1] - m[1][0] * m[0][1]; |
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} |
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static T call(detail::tmat2x2<T, P> const & m) |
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{ |
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return m[0][0] * m[1][1] - m[1][0] * m[0][1]; |
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} |
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}; |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER typename detail::tmat3x3<T, P>::value_type determinant |
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( |
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detail::tmat3x3<T, P> const & m |
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) |
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|
struct compute_determinant<detail::tmat3x3, T, P> |
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|
{ |
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|
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'determinant' only accept floating-point inputs"); |
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|
return |
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|
+ m[0][0] * (m[1][1] * m[2][2] - m[2][1] * m[1][2]) |
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|
- m[1][0] * (m[0][1] * m[2][2] - m[2][1] * m[0][2]) |
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|
+ m[2][0] * (m[0][1] * m[1][2] - m[1][1] * m[0][2]); |
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|
} |
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|
static T call(detail::tmat3x3<T, P> const & m) |
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|
|
{ |
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|
return |
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|
|
+ m[0][0] * (m[1][1] * m[2][2] - m[2][1] * m[1][2]) |
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|
- m[1][0] * (m[0][1] * m[2][2] - m[2][1] * m[0][2]) |
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|
+ m[2][0] * (m[0][1] * m[1][2] - m[1][1] * m[0][2]); |
|
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|
|
} |
|
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|
|
}; |
|
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|
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|
|
|
template <typename T, precision P> |
|
|
|
|
GLM_FUNC_QUALIFIER typename detail::tmat4x4<T, P>::value_type determinant |
|
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|
|
( |
|
|
|
|
detail::tmat4x4<T, P> const & m |
|
|
|
|
) |
|
|
|
|
struct compute_determinant<detail::tmat4x4, T, P> |
|
|
|
|
{ |
|
|
|
|
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'determinant' only accept floating-point inputs"); |
|
|
|
|
|
|
|
|
|
T SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3]; |
|
|
|
|
T SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3]; |
|
|
|
|
T SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2]; |
|
|
|
|
T SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3]; |
|
|
|
|
T SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2]; |
|
|
|
|
T SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1]; |
|
|
|
|
|
|
|
|
|
detail::tvec4<T, P> DetCof( |
|
|
|
|
+ (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02), |
|
|
|
|
- (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04), |
|
|
|
|
+ (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05), |
|
|
|
|
- (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05)); |
|
|
|
|
|
|
|
|
|
return m[0][0] * DetCof[0] |
|
|
|
|
+ m[0][1] * DetCof[1] |
|
|
|
|
+ m[0][2] * DetCof[2] |
|
|
|
|
+ m[0][3] * DetCof[3]; |
|
|
|
|
} |
|
|
|
|
static T call(detail::tmat4x4<T, P> const & m) |
|
|
|
|
{ |
|
|
|
|
T SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3]; |
|
|
|
|
T SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3]; |
|
|
|
|
T SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2]; |
|
|
|
|
T SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3]; |
|
|
|
|
T SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2]; |
|
|
|
|
T SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1]; |
|
|
|
|
|
|
|
|
|
detail::tvec4<T, P> DetCof( |
|
|
|
|
+ (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02), |
|
|
|
|
- (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04), |
|
|
|
|
+ (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05), |
|
|
|
|
- (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05)); |
|
|
|
|
|
|
|
|
|
return m[0][0] * DetCof[0] |
|
|
|
|
+ m[0][1] * DetCof[1] |
|
|
|
|
+ m[0][2] * DetCof[2] |
|
|
|
|
+ m[0][3] * DetCof[3]; |
|
|
|
|
} |
|
|
|
|
}; |
|
|
|
|
|
|
|
|
|
namespace detail |
|
|
|
|
{ |
|
|
|
|
template <template <class, precision> class matType, typename T, precision P> |
|
|
|
|
struct compute_inverse{}; |
|
|
|
|
|
|
|
|
@ -591,10 +557,32 @@ namespace detail |
|
|
|
|
}//namespace detail |
|
|
|
|
|
|
|
|
|
template <typename T, precision P, template <typename, precision> class matType> |
|
|
|
|
GLM_FUNC_DECL matType<T, P> inverse |
|
|
|
|
( |
|
|
|
|
matType<T, P> const & m |
|
|
|
|
) |
|
|
|
|
GLM_FUNC_QUALIFIER matType<T, P> matrixCompMult(matType<T, P> const & x, matType<T, P> const & y) |
|
|
|
|
{ |
|
|
|
|
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'matrixCompMult' only accept floating-point inputs"); |
|
|
|
|
|
|
|
|
|
matType<T, P> result(matType<T, P>::_null); |
|
|
|
|
for(length_t i = 0; i < result.length(); ++i) |
|
|
|
|
result[i] = x[i] * y[i]; |
|
|
|
|
return result; |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
template <typename T, precision P, template <typename, precision> class matType> |
|
|
|
|
GLM_FUNC_DECL typename matType::transpose_type transpose(matType<T, P> const & m) |
|
|
|
|
{ |
|
|
|
|
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'transpose' only accept floating-point inputs"); |
|
|
|
|
return detail::compute_transpose<matType, T, P>::call(m); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
template <typename T, precision P, template <typename, precision> class matType> |
|
|
|
|
GLM_FUNC_DECL T determinant(matType<T, P> const & m) |
|
|
|
|
{ |
|
|
|
|
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'determinant' only accept floating-point inputs"); |
|
|
|
|
return detail::compute_determinant<matType, T, P>::call(m); |
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
template <typename T, precision P, template <typename, precision> class matType> |
|
|
|
|
GLM_FUNC_DECL matType<T, P> inverse(matType<T, P> const & m) |
|
|
|
|
{ |
|
|
|
|
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'inverse' only accept floating-point inputs"); |
|
|
|
|
return detail::compute_inverse<matType, T, P>::call(m); |
|
|
|
|