From a8b3118e8305fd1c668ea25e07157b625c9747ff Mon Sep 17 00:00:00 2001 From: Joursoir Date: Sat, 10 Apr 2021 17:29:02 +0000 Subject: add glm headers --- src/include/glm/gtc/matrix_inverse.inl | 118 +++++++++++++++++++++++++++++++++ 1 file changed, 118 insertions(+) create mode 100644 src/include/glm/gtc/matrix_inverse.inl (limited to 'src/include/glm/gtc/matrix_inverse.inl') diff --git a/src/include/glm/gtc/matrix_inverse.inl b/src/include/glm/gtc/matrix_inverse.inl new file mode 100644 index 0000000..2964b9d --- /dev/null +++ b/src/include/glm/gtc/matrix_inverse.inl @@ -0,0 +1,118 @@ +/// @ref gtc_matrix_inverse + +namespace glm +{ + template + GLM_FUNC_QUALIFIER mat<3, 3, T, Q> affineInverse(mat<3, 3, T, Q> const& m) + { + mat<2, 2, T, Q> const Inv(inverse(mat<2, 2, T, Q>(m))); + + return mat<3, 3, T, Q>( + vec<3, T, Q>(Inv[0], static_cast(0)), + vec<3, T, Q>(Inv[1], static_cast(0)), + vec<3, T, Q>(-Inv * vec<2, T, Q>(m[2]), static_cast(1))); + } + + template + GLM_FUNC_QUALIFIER mat<4, 4, T, Q> affineInverse(mat<4, 4, T, Q> const& m) + { + mat<3, 3, T, Q> const Inv(inverse(mat<3, 3, T, Q>(m))); + + return mat<4, 4, T, Q>( + vec<4, T, Q>(Inv[0], static_cast(0)), + vec<4, T, Q>(Inv[1], static_cast(0)), + vec<4, T, Q>(Inv[2], static_cast(0)), + vec<4, T, Q>(-Inv * vec<3, T, Q>(m[3]), static_cast(1))); + } + + template + GLM_FUNC_QUALIFIER mat<2, 2, T, Q> inverseTranspose(mat<2, 2, T, Q> const& m) + { + T Determinant = m[0][0] * m[1][1] - m[1][0] * m[0][1]; + + mat<2, 2, T, Q> Inverse( + + m[1][1] / Determinant, + - m[0][1] / Determinant, + - m[1][0] / Determinant, + + m[0][0] / Determinant); + + return Inverse; + } + + template + GLM_FUNC_QUALIFIER mat<3, 3, T, Q> inverseTranspose(mat<3, 3, T, Q> 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]); + + mat<3, 3, T, Q> Inverse; + 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 + GLM_FUNC_QUALIFIER mat<4, 4, T, Q> inverseTranspose(mat<4, 4, T, Q> 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][0] * m[3][1] - m[3][0] * m[1][1]; + T SubFactor12 = m[1][2] * m[2][3] - m[2][2] * m[1][3]; + T SubFactor13 = m[1][1] * m[2][3] - m[2][1] * m[1][3]; + T SubFactor14 = m[1][1] * m[2][2] - m[2][1] * m[1][2]; + T SubFactor15 = m[1][0] * m[2][3] - m[2][0] * m[1][3]; + T SubFactor16 = m[1][0] * m[2][2] - m[2][0] * m[1][2]; + T SubFactor17 = m[1][0] * m[2][1] - m[2][0] * m[1][1]; + + mat<4, 4, T, Q> 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] * SubFactor07 - m[0][1] * SubFactor09 + m[0][3] * SubFactor11); + Inverse[2][3] = - (m[0][0] * SubFactor08 - m[0][1] * SubFactor10 + m[0][2] * SubFactor11); + + Inverse[3][0] = - (m[0][1] * SubFactor12 - m[0][2] * SubFactor13 + m[0][3] * SubFactor14); + Inverse[3][1] = + (m[0][0] * SubFactor12 - m[0][2] * SubFactor15 + m[0][3] * SubFactor16); + Inverse[3][2] = - (m[0][0] * SubFactor13 - m[0][1] * SubFactor15 + m[0][3] * SubFactor17); + Inverse[3][3] = + (m[0][0] * SubFactor14 - m[0][1] * SubFactor16 + m[0][2] * SubFactor17); + + 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 -- cgit v1.2.3-18-g5258