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///////////////////////////////////////////////////////////////////////////////////////////////////
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// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Created : 2005-12-21
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// Updated : 2010-12-13
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// Licence : This source is under MIT License
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// File : glm/gtc/matrix_inverse.hpp
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Dependency:
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// - GLM core
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///////////////////////////////////////////////////////////////////////////////////////////////////
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#ifndef glm_gtc_matrix_inverse |
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#define glm_gtc_matrix_inverse |
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// Dependency:
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#include "../glm.hpp" |
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namespace glm{ |
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namespace gtc{ |
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//! GLM_GTC_matrix_inverse extension: Inverse matrix functions
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namespace matrix_inverse |
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{ |
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//! Fast matrix inverse for affine matrix.
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//! From GLM_GTC_matrix_inverse extension.
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template <typename genType>
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genType affineInverse(genType const & m); |
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//! Compute the inverse transpose of a matrix.
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//! From GLM_GTC_matrix_inverse extension.
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template <typename genType>
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inline typename genType::value_type inverseTranspose( |
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genType const & m); |
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}//namespace matrix_inverse
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}//namespace gtc
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}//namespace glm
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#include "matrix_inverse.inl" |
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namespace glm{using namespace gtc::matrix_inverse;} |
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#endif//glm_gtc_matrix_inverse
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@ -0,0 +1,139 @@ |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net) |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// Created : 2005-12-21 |
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// Updated : 2010-12-13 |
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// Licence : This source is under MIT License |
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// File : glm/gtc/matrix_inverse.inl |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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namespace glm{ |
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namespace gtx{ |
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namespace matrix_inverse |
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{ |
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template <typename T> |
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inline detail::tmat3x3<T> affineInverse |
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( |
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detail::tmat3x3<T> const & m |
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) |
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{ |
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detail::tmat3x3<T> Result(m); |
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Result[2] = detail::tvec3<T>(0, 0, 1); |
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Result = transpose(Result); |
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detail::tvec3<T> Translation = Result * detail::tvec3<T>(-detail::tvec2<T>(m[2]), m[2][2]); |
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Result[2] = Translation; |
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return Result; |
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} |
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template <typename T> |
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inline detail::tmat4x4<T> affineInverse |
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( |
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detail::tmat4x4<T> const & m |
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) |
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{ |
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detail::tmat4x4<T> Result(m); |
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Result[3] = detail::tvec4<T>(0, 0, 0, 1); |
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Result = transpose(Result); |
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detail::tvec4<T> Translation = Result * detail::tvec4<T>(-detail::tvec3<T>(m[3]), m[3][3]); |
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Result[3] = Translation; |
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return Result; |
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} |
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template <typename valType> |
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inline detail::tmat2x2<valType> inverseTranspose( |
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detail::tmat2x2<valType> const & m) |
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{ |
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valType Determinant = m[0][0] * m[1][1] - m[1][0] * m[0][1]; |
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detail::tmat2x2<valType> Inverse( |
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+ m[1][1] / Determinant, |
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- m[0][1] / Determinant, |
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- m[1][0] / Determinant, |
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+ m[0][0] / Determinant); |
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return Inverse; |
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} |
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template <typename valType> |
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inline detail::tmat3x3<valType> inverseTranspose( |
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detail::tmat3x3<valType> const & m) |
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{ |
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valType Determinant = |
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+ m[0][0] * (m[1][1] * m[2][2] - m[1][2] * m[2][1]) |
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- m[0][1] * (m[1][0] * m[2][2] - m[1][2] * m[2][0]) |
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+ m[0][2] * (m[1][0] * m[2][1] - m[1][1] * m[2][0]); |
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detail::tmat3x3<valType> Inverse; |
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Inverse[0][0] = + (m[1][1] * m[2][2] - m[2][1] * m[1][2]); |
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Inverse[0][1] = - (m[1][0] * m[2][2] - m[2][0] * m[1][2]); |
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Inverse[0][2] = + (m[1][0] * m[2][1] - m[2][0] * m[1][1]); |
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Inverse[1][0] = - (m[0][1] * m[2][2] - m[2][1] * m[0][2]); |
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Inverse[1][1] = + (m[0][0] * m[2][2] - m[2][0] * m[0][2]); |
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Inverse[1][2] = - (m[0][0] * m[2][1] - m[2][0] * m[0][1]); |
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Inverse[2][0] = + (m[0][1] * m[1][2] - m[1][1] * m[0][2]); |
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Inverse[2][1] = - (m[0][0] * m[1][2] - m[1][0] * m[0][2]); |
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Inverse[2][2] = + (m[0][0] * m[1][1] - m[1][0] * m[0][1]); |
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Inverse /= Determinant; |
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return Inverse; |
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} |
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template <typename valType> |
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inline detail::tmat4x4<valType> inverseTranspose( |
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detail::tmat4x4<valType> const & m) |
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{ |
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valType SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3]; |
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valType SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3]; |
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valType SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2]; |
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valType SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3]; |
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valType SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2]; |
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valType SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1]; |
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valType SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3]; |
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valType SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; |
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valType SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2]; |
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valType SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3]; |
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valType SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2]; |
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valType SubFactor11 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; |
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valType SubFactor12 = m[1][0] * m[3][1] - m[3][0] * m[1][1]; |
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valType SubFactor13 = m[1][2] * m[2][3] - m[2][2] * m[1][3]; |
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valType SubFactor14 = m[1][1] * m[2][3] - m[2][1] * m[1][3]; |
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valType SubFactor15 = m[1][1] * m[2][2] - m[2][1] * m[1][2]; |
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valType SubFactor16 = m[1][0] * m[2][3] - m[2][0] * m[1][3]; |
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valType SubFactor17 = m[1][0] * m[2][2] - m[2][0] * m[1][2]; |
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valType SubFactor18 = m[1][0] * m[2][1] - m[2][0] * m[1][1]; |
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detail::tmat4x4<valType> Inverse; |
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Inverse[0][0] = + (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02); |
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Inverse[0][1] = - (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04); |
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Inverse[0][2] = + (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05); |
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Inverse[0][3] = - (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05); |
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Inverse[1][0] = - (m[0][1] * SubFactor00 - m[0][2] * SubFactor01 + m[0][3] * SubFactor02); |
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Inverse[1][1] = + (m[0][0] * SubFactor00 - m[0][2] * SubFactor03 + m[0][3] * SubFactor04); |
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Inverse[1][2] = - (m[0][0] * SubFactor01 - m[0][1] * SubFactor03 + m[0][3] * SubFactor05); |
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Inverse[1][3] = + (m[0][0] * SubFactor02 - m[0][1] * SubFactor04 + m[0][2] * SubFactor05); |
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Inverse[2][0] = + (m[0][1] * SubFactor06 - m[0][2] * SubFactor07 + m[0][3] * SubFactor08); |
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Inverse[2][1] = - (m[0][0] * SubFactor06 - m[0][2] * SubFactor09 + m[0][3] * SubFactor10); |
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Inverse[2][2] = + (m[0][0] * SubFactor11 - m[0][1] * SubFactor09 + m[0][3] * SubFactor12); |
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Inverse[2][3] = - (m[0][0] * SubFactor08 - m[0][1] * SubFactor10 + m[0][2] * SubFactor12); |
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Inverse[3][0] = - (m[0][1] * SubFactor13 - m[0][2] * SubFactor14 + m[0][3] * SubFactor15); |
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Inverse[3][1] = + (m[0][0] * SubFactor13 - m[0][2] * SubFactor16 + m[0][3] * SubFactor17); |
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Inverse[3][2] = - (m[0][0] * SubFactor14 - m[0][1] * SubFactor16 + m[0][3] * SubFactor18); |
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Inverse[3][3] = + (m[0][0] * SubFactor15 - m[0][1] * SubFactor17 + m[0][2] * SubFactor18); |
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valType Determinant = |
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+ m[0][0] * Inverse[0][0] |
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+ m[0][1] * Inverse[0][1] |
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+ m[0][2] * Inverse[0][2] |
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+ m[0][3] * Inverse[0][3]; |
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Inverse /= Determinant; |
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return Inverse; |
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} |
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}//namespace matrix_inverse |
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}//namespace gtx |
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}//namespace glm |
@ -1,40 +0,0 @@ |
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Created : 2005-12-21
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// Updated : 2008-09-30
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// Licence : This source is under MIT License
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// File : glm/gtx/inverse.hpp
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Dependency:
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// - GLM core
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///////////////////////////////////////////////////////////////////////////////////////////////////
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#ifndef glm_gtx_inverse |
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#define glm_gtx_inverse |
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// Dependency:
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#include "../glm.hpp" |
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#include "../gtc/matrix_operation.hpp" |
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namespace glm{ |
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namespace gtx{ |
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//! GLM_GTX_inverse extension: Inverse matrix functions
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namespace inverse |
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{ |
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using namespace gtc::matrix_operation; |
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//! Fast matrix inverse for affine matrix.
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//! From GLM_GTX_inverse extension.
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template <typename genType>
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genType affineInverse(genType const & m); |
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}//namespace inverse
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}//namespace gtx
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}//namespace glm
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#include "inverse.inl" |
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namespace glm{using namespace gtx::inverse;} |
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#endif//glm_gtx_inverse
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@ -1,44 +0,0 @@ |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net) |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// Created : 2005-12-21 |
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// Updated : 2008-09-30 |
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// Licence : This source is under MIT License |
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// File : glm/gtx/inverse.inl |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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namespace glm{ |
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namespace gtx{ |
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namespace inverse |
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{ |
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template <typename T> |
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inline detail::tmat3x3<T> affineInverse |
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( |
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detail::tmat3x3<T> const & m |
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) |
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{ |
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detail::tmat3x3<T> Result(m); |
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Result[2] = detail::tvec3<T>(0, 0, 1); |
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Result = transpose(Result); |
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detail::tvec3<T> Translation = Result * detail::tvec3<T>(-detail::tvec2<T>(m[2]), m[2][2]); |
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Result[2] = Translation; |
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return Result; |
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} |
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template <typename T> |
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inline detail::tmat4x4<T> affineInverse |
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( |
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detail::tmat4x4<T> const & m |
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) |
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{ |
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detail::tmat4x4<T> Result(m); |
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Result[3] = detail::tvec4<T>(0, 0, 0, 1); |
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Result = transpose(Result); |
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detail::tvec4<T> Translation = Result * detail::tvec4<T>(-detail::tvec3<T>(m[3]), m[3][3]); |
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Result[3] = Translation; |
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return Result; |
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} |
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}//namespace inverse |
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}//namespace gtx |
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}//namespace glm |
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@ -1,39 +0,0 @@ |
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Created : 2006-01-04
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// Updated : 2008-10-23
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// Licence : This source is under MIT License
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// File : glm/gtx/inverse_transpose.hpp
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Dependency:
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// - GLM core
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///////////////////////////////////////////////////////////////////////////////////////////////////
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#ifndef glm_gtx_inverse_transpose |
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#define glm_gtx_inverse_transpose |
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// Dependency:
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#include "../glm.hpp" |
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namespace glm |
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{ |
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namespace gtx{ |
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//! GLM_GTX_inverse_transpose extension: Inverse transpose matrix functions
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namespace inverse_transpose |
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{ |
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//! Compute the inverse transpose of a matrix.
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//! From GLM_GTX_inverse extension.
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template <typename genType>
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inline typename genType::value_type inverseTranspose( |
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genType const & m); |
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}//namespace inverse_transpose
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}//namespace gtx
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}//namespace glm
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#include "inverse_transpose.inl" |
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namespace glm{using namespace gtx::inverse_transpose;} |
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#endif//glm_gtx_inverse_transpose
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@ -1,112 +0,0 @@ |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net) |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// Created : 2006-01-04 |
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// Updated : 2008-12-02 |
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// Licence : This source is under MIT License |
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// File : glm/gtx/inverse_transpose.inl |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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namespace glm{ |
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namespace gtx{ |
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//! GLM_GTX_inverse_transpose extension: Inverse transpose matrix functions |
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namespace inverse_transpose{ |
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template <typename valType> |
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inline detail::tmat2x2<valType> inverseTranspose( |
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detail::tmat2x2<valType> const & m) |
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{ |
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valType Determinant = m[0][0] * m[1][1] - m[1][0] * m[0][1]; |
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detail::tmat2x2<valType> Inverse( |
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+ m[1][1] / Determinant, |
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- m[0][1] / Determinant, |
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- m[1][0] / Determinant, |
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+ m[0][0] / Determinant); |
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return Inverse; |
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} |
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template <typename valType> |
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inline detail::tmat3x3<valType> inverseTranspose( |
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detail::tmat3x3<valType> const & m) |
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{ |
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valType Determinant = |
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+ m[0][0] * (m[1][1] * m[2][2] - m[1][2] * m[2][1]) |
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- m[0][1] * (m[1][0] * m[2][2] - m[1][2] * m[2][0]) |
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+ m[0][2] * (m[1][0] * m[2][1] - m[1][1] * m[2][0]); |
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detail::tmat3x3<valType> Inverse; |
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Inverse[0][0] = + (m[1][1] * m[2][2] - m[2][1] * m[1][2]); |
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Inverse[0][1] = - (m[1][0] * m[2][2] - m[2][0] * m[1][2]); |
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Inverse[0][2] = + (m[1][0] * m[2][1] - m[2][0] * m[1][1]); |
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Inverse[1][0] = - (m[0][1] * m[2][2] - m[2][1] * m[0][2]); |
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Inverse[1][1] = + (m[0][0] * m[2][2] - m[2][0] * m[0][2]); |
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Inverse[1][2] = - (m[0][0] * m[2][1] - m[2][0] * m[0][1]); |
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Inverse[2][0] = + (m[0][1] * m[1][2] - m[1][1] * m[0][2]); |
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Inverse[2][1] = - (m[0][0] * m[1][2] - m[1][0] * m[0][2]); |
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Inverse[2][2] = + (m[0][0] * m[1][1] - m[1][0] * m[0][1]); |
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Inverse /= Determinant; |
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return Inverse; |
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} |
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template <typename valType> |
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inline detail::tmat4x4<valType> inverseTranspose( |
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detail::tmat4x4<valType> const & m) |
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{ |
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valType SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3]; |
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valType SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3]; |
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valType SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2]; |
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valType SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3]; |
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valType SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2]; |
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valType SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1]; |
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valType SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3]; |
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valType SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; |
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valType SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2]; |
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valType SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3]; |
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valType SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2]; |
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valType SubFactor11 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; |
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valType SubFactor12 = m[1][0] * m[3][1] - m[3][0] * m[1][1]; |
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valType SubFactor13 = m[1][2] * m[2][3] - m[2][2] * m[1][3]; |
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valType SubFactor14 = m[1][1] * m[2][3] - m[2][1] * m[1][3]; |
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valType SubFactor15 = m[1][1] * m[2][2] - m[2][1] * m[1][2]; |
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valType SubFactor16 = m[1][0] * m[2][3] - m[2][0] * m[1][3]; |
|
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valType SubFactor17 = m[1][0] * m[2][2] - m[2][0] * m[1][2]; |
|
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valType SubFactor18 = m[1][0] * m[2][1] - m[2][0] * m[1][1]; |
|
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|
|
||||||
detail::tmat4x4<valType> Inverse; |
|
||||||
Inverse[0][0] = + (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02); |
|
||||||
Inverse[0][1] = - (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04); |
|
||||||
Inverse[0][2] = + (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05); |
|
||||||
Inverse[0][3] = - (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05); |
|
||||||
|
|
||||||
Inverse[1][0] = - (m[0][1] * SubFactor00 - m[0][2] * SubFactor01 + m[0][3] * SubFactor02); |
|
||||||
Inverse[1][1] = + (m[0][0] * SubFactor00 - m[0][2] * SubFactor03 + m[0][3] * SubFactor04); |
|
||||||
Inverse[1][2] = - (m[0][0] * SubFactor01 - m[0][1] * SubFactor03 + m[0][3] * SubFactor05); |
|
||||||
Inverse[1][3] = + (m[0][0] * SubFactor02 - m[0][1] * SubFactor04 + m[0][2] * SubFactor05); |
|
||||||
|
|
||||||
Inverse[2][0] = + (m[0][1] * SubFactor06 - m[0][2] * SubFactor07 + m[0][3] * SubFactor08); |
|
||||||
Inverse[2][1] = - (m[0][0] * SubFactor06 - m[0][2] * SubFactor09 + m[0][3] * SubFactor10); |
|
||||||
Inverse[2][2] = + (m[0][0] * SubFactor11 - m[0][1] * SubFactor09 + m[0][3] * SubFactor12); |
|
||||||
Inverse[2][3] = - (m[0][0] * SubFactor08 - m[0][1] * SubFactor10 + m[0][2] * SubFactor12); |
|
||||||
|
|
||||||
Inverse[3][0] = - (m[0][1] * SubFactor13 - m[0][2] * SubFactor14 + m[0][3] * SubFactor15); |
|
||||||
Inverse[3][1] = + (m[0][0] * SubFactor13 - m[0][2] * SubFactor16 + m[0][3] * SubFactor17); |
|
||||||
Inverse[3][2] = - (m[0][0] * SubFactor14 - m[0][1] * SubFactor16 + m[0][3] * SubFactor18); |
|
||||||
Inverse[3][3] = + (m[0][0] * SubFactor15 - m[0][1] * SubFactor17 + m[0][2] * SubFactor18); |
|
||||||
|
|
||||||
valType Determinant = |
|
||||||
+ m[0][0] * Inverse[0][0] |
|
||||||
+ m[0][1] * Inverse[0][1] |
|
||||||
+ m[0][2] * Inverse[0][2] |
|
||||||
+ m[0][3] * Inverse[0][3]; |
|
||||||
|
|
||||||
Inverse /= Determinant; |
|
||||||
|
|
||||||
return Inverse; |
|
||||||
} |
|
||||||
|
|
||||||
}//namespace inverse_transpose |
|
||||||
}//namespace gtx |
|
||||||
}//namespace glm |
|
Loading…
Reference in New Issue