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Diffstat (limited to 'external/include/glm/gtc/matrix_inverse.inl')
| -rw-r--r-- | external/include/glm/gtc/matrix_inverse.inl | 120 |
1 files changed, 120 insertions, 0 deletions
diff --git a/external/include/glm/gtc/matrix_inverse.inl b/external/include/glm/gtc/matrix_inverse.inl new file mode 100644 index 0000000..36c9bf7 --- /dev/null +++ b/external/include/glm/gtc/matrix_inverse.inl @@ -0,0 +1,120 @@ +/// @ref gtc_matrix_inverse +/// @file glm/gtc/matrix_inverse.inl + +namespace glm +{ + template <typename T, precision P> + GLM_FUNC_QUALIFIER tmat3x3<T, P> affineInverse(tmat3x3<T, P> const & m) + { + tmat2x2<T, P> const Inv(inverse(tmat2x2<T, P>(m))); + + return tmat3x3<T, P>( + tvec3<T, P>(Inv[0], static_cast<T>(0)), + tvec3<T, P>(Inv[1], static_cast<T>(0)), + tvec3<T, P>(-Inv * tvec2<T, P>(m[2]), static_cast<T>(1))); + } + + template <typename T, precision P> + GLM_FUNC_QUALIFIER tmat4x4<T, P> affineInverse(tmat4x4<T, P> const & m) + { + tmat3x3<T, P> const Inv(inverse(tmat3x3<T, P>(m))); + + return tmat4x4<T, P>( + tvec4<T, P>(Inv[0], static_cast<T>(0)), + tvec4<T, P>(Inv[1], static_cast<T>(0)), + tvec4<T, P>(Inv[2], static_cast<T>(0)), + tvec4<T, P>(-Inv * tvec3<T, P>(m[3]), static_cast<T>(1))); + } + + template <typename T, precision P> + GLM_FUNC_QUALIFIER tmat2x2<T, P> inverseTranspose(tmat2x2<T, P> const & m) + { + T Determinant = m[0][0] * m[1][1] - m[1][0] * m[0][1]; + + tmat2x2<T, P> Inverse( + + m[1][1] / Determinant, + - m[0][1] / Determinant, + - m[1][0] / Determinant, + + m[0][0] / Determinant); + + return Inverse; + } + + template <typename T, precision P> + GLM_FUNC_QUALIFIER tmat3x3<T, P> inverseTranspose(tmat3x3<T, P> const & m) + { + T Determinant = + + m[0][0] * (m[1][1] * m[2][2] - m[1][2] * m[2][1]) + - m[0][1] * (m[1][0] * m[2][2] - m[1][2] * m[2][0]) + + m[0][2] * (m[1][0] * m[2][1] - m[1][1] * m[2][0]); + + tmat3x3<T, P> Inverse(uninitialize); + Inverse[0][0] = + (m[1][1] * m[2][2] - m[2][1] * m[1][2]); + Inverse[0][1] = - (m[1][0] * m[2][2] - m[2][0] * m[1][2]); + Inverse[0][2] = + (m[1][0] * m[2][1] - m[2][0] * m[1][1]); + Inverse[1][0] = - (m[0][1] * m[2][2] - m[2][1] * m[0][2]); + Inverse[1][1] = + (m[0][0] * m[2][2] - m[2][0] * m[0][2]); + Inverse[1][2] = - (m[0][0] * m[2][1] - m[2][0] * m[0][1]); + Inverse[2][0] = + (m[0][1] * m[1][2] - m[1][1] * m[0][2]); + Inverse[2][1] = - (m[0][0] * m[1][2] - m[1][0] * m[0][2]); + Inverse[2][2] = + (m[0][0] * m[1][1] - m[1][0] * m[0][1]); + Inverse /= Determinant; + + return Inverse; + } + + template <typename T, precision P> + GLM_FUNC_QUALIFIER tmat4x4<T, P> inverseTranspose(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]; + T SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3]; + T SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; + T SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2]; + T SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3]; + T SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2]; + T SubFactor11 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; + T SubFactor12 = m[1][0] * m[3][1] - m[3][0] * m[1][1]; + T SubFactor13 = m[1][2] * m[2][3] - m[2][2] * m[1][3]; + T SubFactor14 = m[1][1] * m[2][3] - m[2][1] * m[1][3]; + T SubFactor15 = m[1][1] * m[2][2] - m[2][1] * m[1][2]; + T SubFactor16 = m[1][0] * m[2][3] - m[2][0] * m[1][3]; + T SubFactor17 = m[1][0] * m[2][2] - m[2][0] * m[1][2]; + T SubFactor18 = m[1][0] * m[2][1] - m[2][0] * m[1][1]; + + tmat4x4<T, P> Inverse(uninitialize); + 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); + + T 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 glm |