| /* 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; |
| } |
| |