/* Copyright (c) 2005 - 2012 G-Truc Creation (www.g-truc.net)
* Copyright © 2012 Intel Corporation
*
* 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.
*
* 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.
*/
#version 120
mat2 inverse(mat2 m)
{
mat2 adj;
adj[0][0] = m[1][1];
adj[0][1] = -m[0][1];
adj[1][0] = -m[1][0];
adj[1][1] = m[0][0];
float det = m[0][0] * m[1][1] - m[1][0] * m[0][1];
return adj / det;
}
mat3 inverse(mat3 m)
{
mat3 adj;
adj[0][0] = + (m[1][1] * m[2][2] - m[2][1] * m[1][2]);
adj[1][0] = - (m[1][0] * m[2][2] - m[2][0] * m[1][2]);
adj[2][0] = + (m[1][0] * m[2][1] - m[2][0] * m[1][1]);
adj[0][1] = - (m[0][1] * m[2][2] - m[2][1] * m[0][2]);
adj[1][1] = + (m[0][0] * m[2][2] - m[2][0] * m[0][2]);
adj[2][1] = - (m[0][0] * m[2][1] - m[2][0] * m[0][1]);
adj[0][2] = + (m[0][1] * m[1][2] - m[1][1] * m[0][2]);
adj[1][2] = - (m[0][0] * m[1][2] - m[1][0] * m[0][2]);
adj[2][2] = + (m[0][0] * m[1][1] - m[1][0] * m[0][1]);
float det = (+ 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]));
return adj / det;
}
mat4 inverse(mat4 m)
{
float SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3];
float SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3];
float SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2];
float SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3];
float SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2];
float SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1];
float SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3];
float SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3];
float SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2];
float SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3];
float SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2];
float SubFactor11 = m[1][1] * m[3][3] - m[3][1] * m[1][3];
float SubFactor12 = m[1][0] * m[3][1] - m[3][0] * m[1][1];
float SubFactor13 = m[1][2] * m[2][3] - m[2][2] * m[1][3];
float SubFactor14 = m[1][1] * m[2][3] - m[2][1] * m[1][3];
float SubFactor15 = m[1][1] * m[2][2] - m[2][1] * m[1][2];
float SubFactor16 = m[1][0] * m[2][3] - m[2][0] * m[1][3];
float SubFactor17 = m[1][0] * m[2][2] - m[2][0] * m[1][2];
float SubFactor18 = m[1][0] * m[2][1] - m[2][0] * m[1][1];
mat4 adj;
adj[0][0] = + (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02);
adj[1][0] = - (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04);
adj[2][0] = + (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05);
adj[3][0] = - (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05);
adj[0][1] = - (m[0][1] * SubFactor00 - m[0][2] * SubFactor01 + m[0][3] * SubFactor02);
adj[1][1] = + (m[0][0] * SubFactor00 - m[0][2] * SubFactor03 + m[0][3] * SubFactor04);
adj[2][1] = - (m[0][0] * SubFactor01 - m[0][1] * SubFactor03 + m[0][3] * SubFactor05);
adj[3][1] = + (m[0][0] * SubFactor02 - m[0][1] * SubFactor04 + m[0][2] * SubFactor05);
adj[0][2] = + (m[0][1] * SubFactor06 - m[0][2] * SubFactor07 + m[0][3] * SubFactor08);
adj[1][2] = - (m[0][0] * SubFactor06 - m[0][2] * SubFactor09 + m[0][3] * SubFactor10);
adj[2][2] = + (m[0][0] * SubFactor11 - m[0][1] * SubFactor09 + m[0][3] * SubFactor12);
adj[3][2] = - (m[0][0] * SubFactor08 - m[0][1] * SubFactor10 + m[0][2] * SubFactor12);
adj[0][3] = - (m[0][1] * SubFactor13 - m[0][2] * SubFactor14 + m[0][3] * SubFactor15);
adj[1][3] = + (m[0][0] * SubFactor13 - m[0][2] * SubFactor16 + m[0][3] * SubFactor17);
adj[2][3] = - (m[0][0] * SubFactor14 - m[0][1] * SubFactor16 + m[0][3] * SubFactor18);
adj[3][3] = + (m[0][0] * SubFactor15 - m[0][1] * SubFactor17 + m[0][2] * SubFactor18);
float det = (+ m[0][0] * adj[0][0]
+ m[0][1] * adj[1][0]
+ m[0][2] * adj[2][0]
+ m[0][3] * adj[3][0]);
return adj / det;
}