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-rw-r--r--external/include/glm/gtc/matrix_inverse.inl120
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diff --git a/external/include/glm/gtc/matrix_inverse.inl b/external/include/glm/gtc/matrix_inverse.inl
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--- a/external/include/glm/gtc/matrix_inverse.inl
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-/// @ref gtc_matrix_inverse
-/// @file glm/gtc/matrix_inverse.inl
-
-namespace glm
-{
- template<typename T, qualifier Q>
- 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<T>(0)),
- vec<3, T, Q>(Inv[1], static_cast<T>(0)),
- vec<3, T, Q>(-Inv * vec<2, T, Q>(m[2]), static_cast<T>(1)));
- }
-
- template<typename T, qualifier Q>
- 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<T>(0)),
- vec<4, T, Q>(Inv[1], static_cast<T>(0)),
- vec<4, T, Q>(Inv[2], static_cast<T>(0)),
- vec<4, T, Q>(-Inv * vec<3, T, Q>(m[3]), static_cast<T>(1)));
- }
-
- template<typename T, qualifier Q>
- 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<typename T, qualifier Q>
- 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<typename T, qualifier Q>
- 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][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];
-
- 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] * 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