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-///////////////////////////////////////////////////////////////////////////////////
-/// OpenGL Mathematics (glm.g-truc.net)
-///
-/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
-/// Permission is hereby granted, free of charge, to any person obtaining a copy
-/// of this software and associated documentation files (the "Software"), to deal
-/// in the Software without restriction, including without limitation the rights
-/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-/// copies of the Software, and to permit persons to whom the Software is
-/// furnished to do so, subject to the following conditions:
-///
-/// The above copyright notice and this permission notice shall be included in
-/// all copies or substantial portions of the Software.
-///
-/// Restrictions:
-/// By making use of the Software for military purposes, you choose to make
-/// a Bunny unhappy.
-///
-/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
-/// THE SOFTWARE.
-///
-/// @ref gtc_matrix_inverse
-/// @file glm/gtc/matrix_inverse.inl
-/// @date 2005-12-21 / 2011-06-15
-/// @author Christophe Riccio
-///////////////////////////////////////////////////////////////////////////////////
-
-namespace glm
-{
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tmat3x3<T, P> affineInverse(tmat3x3<T, P> const & m)
- {
- tmat3x3<T, P> Result(m);
- Result[2] = tvec3<T, P>(0, 0, 1);
- Result = transpose(Result);
- tvec3<T, P> Translation = Result * tvec3<T, P>(-tvec2<T, P>(m[2]), m[2][2]);
- Result[2] = Translation;
- return Result;
- }
-
- template <typename T, precision P>
- GLM_FUNC_QUALIFIER tmat4x4<T, P> affineInverse(tmat4x4<T, P> const & m)
- {
- tmat4x4<T, P> Result(m);
- Result[3] = tvec4<T, P>(0, 0, 0, 1);
- Result = transpose(Result);
- tvec4<T, P> Translation = Result * tvec4<T, P>(-tvec3<T, P>(m[3]), m[3][3]);
- Result[3] = Translation;
- return Result;
- }
-
- 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
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