1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
|
/* 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].x = m[1].y;
adj[0].y = -m[0].y;
adj[1].x = -m[1].x;
adj[1].y = m[0].x;
float det = m[0].x * m[1].y - m[1].x * m[0].y;
return adj / det;
}
mat3 inverse(mat3 m)
{
mat3 adj;
adj[0].x = + (m[1].y * m[2].z - m[2].y * m[1].z);
adj[1].x = - (m[1].x * m[2].z - m[2].x * m[1].z);
adj[2].x = + (m[1].x * m[2].y - m[2].x * m[1].y);
adj[0].y = - (m[0].y * m[2].z - m[2].y * m[0].z);
adj[1].y = + (m[0].x * m[2].z - m[2].x * m[0].z);
adj[2].y = - (m[0].x * m[2].y - m[2].x * m[0].y);
adj[0].z = + (m[0].y * m[1].z - m[1].y * m[0].z);
adj[1].z = - (m[0].x * m[1].z - m[1].x * m[0].z);
adj[2].z = + (m[0].x * m[1].y - m[1].x * m[0].y);
float det = (+ m[0].x * (m[1].y * m[2].z - m[1].z * m[2].y)
- m[0].y * (m[1].x * m[2].z - m[1].z * m[2].x)
+ m[0].z * (m[1].x * m[2].y - m[1].y * m[2].x));
return adj / det;
}
mat4 inverse(mat4 m)
{
float SubFactor00 = m[2].z * m[3].w - m[3].z * m[2].w;
float SubFactor01 = m[2].y * m[3].w - m[3].y * m[2].w;
float SubFactor02 = m[2].y * m[3].z - m[3].y * m[2].z;
float SubFactor03 = m[2].x * m[3].w - m[3].x * m[2].w;
float SubFactor04 = m[2].x * m[3].z - m[3].x * m[2].z;
float SubFactor05 = m[2].x * m[3].y - m[3].x * m[2].y;
float SubFactor06 = m[1].z * m[3].w - m[3].z * m[1].w;
float SubFactor07 = m[1].y * m[3].w - m[3].y * m[1].w;
float SubFactor08 = m[1].y * m[3].z - m[3].y * m[1].z;
float SubFactor09 = m[1].x * m[3].w - m[3].x * m[1].w;
float SubFactor10 = m[1].x * m[3].z - m[3].x * m[1].z;
float SubFactor11 = m[1].y * m[3].w - m[3].y * m[1].w;
float SubFactor12 = m[1].x * m[3].y - m[3].x * m[1].y;
float SubFactor13 = m[1].z * m[2].w - m[2].z * m[1].w;
float SubFactor14 = m[1].y * m[2].w - m[2].y * m[1].w;
float SubFactor15 = m[1].y * m[2].z - m[2].y * m[1].z;
float SubFactor16 = m[1].x * m[2].w - m[2].x * m[1].w;
float SubFactor17 = m[1].x * m[2].z - m[2].x * m[1].z;
float SubFactor18 = m[1].x * m[2].y - m[2].x * m[1].y;
mat4 adj;
adj[0].x = + (m[1].y * SubFactor00 - m[1].z * SubFactor01 + m[1].w * SubFactor02);
adj[1].x = - (m[1].x * SubFactor00 - m[1].z * SubFactor03 + m[1].w * SubFactor04);
adj[2].x = + (m[1].x * SubFactor01 - m[1].y * SubFactor03 + m[1].w * SubFactor05);
adj[3].x = - (m[1].x * SubFactor02 - m[1].y * SubFactor04 + m[1].z * SubFactor05);
adj[0].y = - (m[0].y * SubFactor00 - m[0].z * SubFactor01 + m[0].w * SubFactor02);
adj[1].y = + (m[0].x * SubFactor00 - m[0].z * SubFactor03 + m[0].w * SubFactor04);
adj[2].y = - (m[0].x * SubFactor01 - m[0].y * SubFactor03 + m[0].w * SubFactor05);
adj[3].y = + (m[0].x * SubFactor02 - m[0].y * SubFactor04 + m[0].z * SubFactor05);
adj[0].z = + (m[0].y * SubFactor06 - m[0].z * SubFactor07 + m[0].w * SubFactor08);
adj[1].z = - (m[0].x * SubFactor06 - m[0].z * SubFactor09 + m[0].w * SubFactor10);
adj[2].z = + (m[0].x * SubFactor11 - m[0].y * SubFactor09 + m[0].w * SubFactor12);
adj[3].z = - (m[0].x * SubFactor08 - m[0].y * SubFactor10 + m[0].z * SubFactor12);
adj[0].w = - (m[0].y * SubFactor13 - m[0].z * SubFactor14 + m[0].w * SubFactor15);
adj[1].w = + (m[0].x * SubFactor13 - m[0].z * SubFactor16 + m[0].w * SubFactor17);
adj[2].w = - (m[0].x * SubFactor14 - m[0].y * SubFactor16 + m[0].w * SubFactor18);
adj[3].w = + (m[0].x * SubFactor15 - m[0].y * SubFactor17 + m[0].z * SubFactor18);
float det = (+ m[0].x * adj[0].x
+ m[0].y * adj[1].x
+ m[0].z * adj[2].x
+ m[0].w * adj[3].x);
return adj / det;
}
|
