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| Rev | Author | Line No. | Line |
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| 5563 | serge | 1 | /* Copyright (c) 2005 - 2012 G-Truc Creation (www.g-truc.net) |
| 2 | * Copyright © 2012 Intel Corporation |
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| 3 | * |
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| 4 | * Permission is hereby granted, free of charge, to any person obtaining a copy |
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| 5 | * of this software and associated documentation files (the "Software"), to deal |
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| 6 | * in the Software without restriction, including without limitation the rights |
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| 7 | * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell |
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| 8 | * copies of the Software, and to permit persons to whom the Software is |
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| 9 | * furnished to do so, subject to the following conditions: |
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| 10 | * |
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| 11 | * The above copyright notice and this permission notice shall be included in |
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| 12 | * all copies or substantial portions of the Software. |
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| 13 | * |
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| 14 | * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
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| 15 | * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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| 16 | * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE |
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| 17 | * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
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| 18 | * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, |
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| 19 | * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN |
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| 20 | * THE SOFTWARE. |
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| 21 | */ |
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| 22 | |||
| 23 | #version 120 |
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| 24 | mat2 inverse(mat2 m) |
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| 25 | { |
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| 26 | mat2 adj; |
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| 27 | adj[0][0] = m[1][1]; |
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| 28 | adj[0][1] = -m[0][1]; |
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| 29 | adj[1][0] = -m[1][0]; |
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| 30 | adj[1][1] = m[0][0]; |
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| 31 | float det = m[0][0] * m[1][1] - m[1][0] * m[0][1]; |
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| 32 | return adj / det; |
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| 33 | } |
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| 34 | |||
| 35 | mat3 inverse(mat3 m) |
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| 36 | { |
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| 37 | mat3 adj; |
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| 38 | adj[0][0] = + (m[1][1] * m[2][2] - m[2][1] * m[1][2]); |
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| 39 | adj[1][0] = - (m[1][0] * m[2][2] - m[2][0] * m[1][2]); |
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| 40 | adj[2][0] = + (m[1][0] * m[2][1] - m[2][0] * m[1][1]); |
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| 41 | adj[0][1] = - (m[0][1] * m[2][2] - m[2][1] * m[0][2]); |
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| 42 | adj[1][1] = + (m[0][0] * m[2][2] - m[2][0] * m[0][2]); |
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| 43 | adj[2][1] = - (m[0][0] * m[2][1] - m[2][0] * m[0][1]); |
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| 44 | adj[0][2] = + (m[0][1] * m[1][2] - m[1][1] * m[0][2]); |
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| 45 | adj[1][2] = - (m[0][0] * m[1][2] - m[1][0] * m[0][2]); |
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| 46 | adj[2][2] = + (m[0][0] * m[1][1] - m[1][0] * m[0][1]); |
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| 47 | |||
| 48 | float det = (+ m[0][0] * (m[1][1] * m[2][2] - m[1][2] * m[2][1]) |
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| 49 | - m[0][1] * (m[1][0] * m[2][2] - m[1][2] * m[2][0]) |
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| 50 | + m[0][2] * (m[1][0] * m[2][1] - m[1][1] * m[2][0])); |
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| 51 | |||
| 52 | return adj / det; |
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| 53 | } |
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| 54 | |||
| 55 | mat4 inverse(mat4 m) |
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| 56 | { |
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| 57 | float SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3]; |
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| 58 | float SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3]; |
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| 59 | float SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2]; |
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| 60 | float SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3]; |
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| 61 | float SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2]; |
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| 62 | float SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1]; |
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| 63 | float SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3]; |
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| 64 | float SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; |
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| 65 | float SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2]; |
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| 66 | float SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3]; |
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| 67 | float SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2]; |
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| 68 | float SubFactor11 = m[1][1] * m[3][3] - m[3][1] * m[1][3]; |
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| 69 | float SubFactor12 = m[1][0] * m[3][1] - m[3][0] * m[1][1]; |
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| 70 | float SubFactor13 = m[1][2] * m[2][3] - m[2][2] * m[1][3]; |
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| 71 | float SubFactor14 = m[1][1] * m[2][3] - m[2][1] * m[1][3]; |
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| 72 | float SubFactor15 = m[1][1] * m[2][2] - m[2][1] * m[1][2]; |
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| 73 | float SubFactor16 = m[1][0] * m[2][3] - m[2][0] * m[1][3]; |
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| 74 | float SubFactor17 = m[1][0] * m[2][2] - m[2][0] * m[1][2]; |
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| 75 | float SubFactor18 = m[1][0] * m[2][1] - m[2][0] * m[1][1]; |
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| 76 | |||
| 77 | mat4 adj; |
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| 78 | |||
| 79 | adj[0][0] = + (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02); |
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| 80 | adj[1][0] = - (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04); |
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| 81 | adj[2][0] = + (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05); |
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| 82 | adj[3][0] = - (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05); |
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| 83 | |||
| 84 | adj[0][1] = - (m[0][1] * SubFactor00 - m[0][2] * SubFactor01 + m[0][3] * SubFactor02); |
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| 85 | adj[1][1] = + (m[0][0] * SubFactor00 - m[0][2] * SubFactor03 + m[0][3] * SubFactor04); |
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| 86 | adj[2][1] = - (m[0][0] * SubFactor01 - m[0][1] * SubFactor03 + m[0][3] * SubFactor05); |
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| 87 | adj[3][1] = + (m[0][0] * SubFactor02 - m[0][1] * SubFactor04 + m[0][2] * SubFactor05); |
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| 88 | |||
| 89 | adj[0][2] = + (m[0][1] * SubFactor06 - m[0][2] * SubFactor07 + m[0][3] * SubFactor08); |
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| 90 | adj[1][2] = - (m[0][0] * SubFactor06 - m[0][2] * SubFactor09 + m[0][3] * SubFactor10); |
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| 91 | adj[2][2] = + (m[0][0] * SubFactor11 - m[0][1] * SubFactor09 + m[0][3] * SubFactor12); |
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| 92 | adj[3][2] = - (m[0][0] * SubFactor08 - m[0][1] * SubFactor10 + m[0][2] * SubFactor12); |
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| 93 | |||
| 94 | adj[0][3] = - (m[0][1] * SubFactor13 - m[0][2] * SubFactor14 + m[0][3] * SubFactor15); |
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| 95 | adj[1][3] = + (m[0][0] * SubFactor13 - m[0][2] * SubFactor16 + m[0][3] * SubFactor17); |
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| 96 | adj[2][3] = - (m[0][0] * SubFactor14 - m[0][1] * SubFactor16 + m[0][3] * SubFactor18); |
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| 97 | adj[3][3] = + (m[0][0] * SubFactor15 - m[0][1] * SubFactor17 + m[0][2] * SubFactor18); |
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| 98 | |||
| 99 | float det = (+ m[0][0] * adj[0][0] |
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| 100 | + m[0][1] * adj[1][0] |
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| 101 | + m[0][2] * adj[2][0] |
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| 102 | + m[0][3] * adj[3][0]); |
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| 103 | |||
| 104 | return adj / det; |
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| 105 | } |
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| 106 |