1 /* Copyright (c) 2005 - 2012 G-Truc Creation (www.g-truc.net) 2 * Copyright 2012 Intel Corporation 3 * 4 * Permission is hereby granted, free of charge, to any person obtaining a copy 5 * of this software and associated documentation files (the "Software"), to deal 6 * in the Software without restriction, including without limitation the rights 7 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 8 * copies of the Software, and to permit persons to whom the Software is 9 * furnished to do so, subject to the following conditions: 10 * 11 * The above copyright notice and this permission notice shall be included in 12 * all copies or substantial portions of the Software. 13 * 14 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 15 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 16 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 17 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 18 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 19 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN 20 * THE SOFTWARE. 21 */ 22 23 #version 120 24 mat2 inverse(mat2 m) 25 { 26 mat2 adj; 27 adj[0][0] = m[1][1]; 28 adj[0][1] = -m[0][1]; 29 adj[1][0] = -m[1][0]; 30 adj[1][1] = m[0][0]; 31 float det = m[0][0] * m[1][1] - m[1][0] * m[0][1]; 32 return adj / det; 33 } 34 35 mat3 inverse(mat3 m) 36 { 37 mat3 adj; 38 adj[0][0] = + (m[1][1] * m[2][2] - m[2][1] * m[1][2]); 39 adj[1][0] = - (m[1][0] * m[2][2] - m[2][0] * m[1][2]); 40 adj[2][0] = + (m[1][0] * m[2][1] - m[2][0] * m[1][1]); 41 adj[0][1] = - (m[0][1] * m[2][2] - m[2][1] * m[0][2]); 42 adj[1][1] = + (m[0][0] * m[2][2] - m[2][0] * m[0][2]); 43 adj[2][1] = - (m[0][0] * m[2][1] - m[2][0] * m[0][1]); 44 adj[0][2] = + (m[0][1] * m[1][2] - m[1][1] * m[0][2]); 45 adj[1][2] = - (m[0][0] * m[1][2] - m[1][0] * m[0][2]); 46 adj[2][2] = + (m[0][0] * m[1][1] - m[1][0] * m[0][1]); 47 48 float det = (+ m[0][0] * (m[1][1] * m[2][2] - m[1][2] * m[2][1]) 49 - m[0][1] * (m[1][0] * m[2][2] - m[1][2] * m[2][0]) 50 + m[0][2] * (m[1][0] * m[2][1] - m[1][1] * m[2][0])); 51 52 return adj / det; 53 } 54 55 mat4 inverse(mat4 m) 56 { 57 float SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3]; 58 float SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3]; 59 float SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2]; 60 float SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3]; 61 float SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2]; 62 float SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1]; 63 float SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3]; 64 float SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; 65 float SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2]; 66 float SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3]; 67 float SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2]; 68 float SubFactor11 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; 69 float SubFactor12 = m[1][0] * m[3][1] - m[3][0] * m[1][1]; 70 float SubFactor13 = m[1][2] * m[2][3] - m[2][2] * m[1][3]; 71 float SubFactor14 = m[1][1] * m[2][3] - m[2][1] * m[1][3]; 72 float SubFactor15 = m[1][1] * m[2][2] - m[2][1] * m[1][2]; 73 float SubFactor16 = m[1][0] * m[2][3] - m[2][0] * m[1][3]; 74 float SubFactor17 = m[1][0] * m[2][2] - m[2][0] * m[1][2]; 75 float SubFactor18 = m[1][0] * m[2][1] - m[2][0] * m[1][1]; 76 77 mat4 adj; 78 79 adj[0][0] = + (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02); 80 adj[1][0] = - (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04); 81 adj[2][0] = + (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05); 82 adj[3][0] = - (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05); 83 84 adj[0][1] = - (m[0][1] * SubFactor00 - m[0][2] * SubFactor01 + m[0][3] * SubFactor02); 85 adj[1][1] = + (m[0][0] * SubFactor00 - m[0][2] * SubFactor03 + m[0][3] * SubFactor04); 86 adj[2][1] = - (m[0][0] * SubFactor01 - m[0][1] * SubFactor03 + m[0][3] * SubFactor05); 87 adj[3][1] = + (m[0][0] * SubFactor02 - m[0][1] * SubFactor04 + m[0][2] * SubFactor05); 88 89 adj[0][2] = + (m[0][1] * SubFactor06 - m[0][2] * SubFactor07 + m[0][3] * SubFactor08); 90 adj[1][2] = - (m[0][0] * SubFactor06 - m[0][2] * SubFactor09 + m[0][3] * SubFactor10); 91 adj[2][2] = + (m[0][0] * SubFactor11 - m[0][1] * SubFactor09 + m[0][3] * SubFactor12); 92 adj[3][2] = - (m[0][0] * SubFactor08 - m[0][1] * SubFactor10 + m[0][2] * SubFactor12); 93 94 adj[0][3] = - (m[0][1] * SubFactor13 - m[0][2] * SubFactor14 + m[0][3] * SubFactor15); 95 adj[1][3] = + (m[0][0] * SubFactor13 - m[0][2] * SubFactor16 + m[0][3] * SubFactor17); 96 adj[2][3] = - (m[0][0] * SubFactor14 - m[0][1] * SubFactor16 + m[0][3] * SubFactor18); 97 adj[3][3] = + (m[0][0] * SubFactor15 - m[0][1] * SubFactor17 + m[0][2] * SubFactor18); 98 99 float det = (+ m[0][0] * adj[0][0] 100 + m[0][1] * adj[1][0] 101 + m[0][2] * adj[2][0] 102 + m[0][3] * adj[3][0]); 103 104 return adj / det; 105 } 106 107
