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Diffstat (limited to 'src/glsl/builtins/glsl/inverse.glsl')
-rw-r--r-- | src/glsl/builtins/glsl/inverse.glsl | 106 |
1 files changed, 106 insertions, 0 deletions
diff --git a/src/glsl/builtins/glsl/inverse.glsl b/src/glsl/builtins/glsl/inverse.glsl new file mode 100644 index 00000000000..ffb84f90794 --- /dev/null +++ b/src/glsl/builtins/glsl/inverse.glsl @@ -0,0 +1,106 @@ +/* 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][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; +} + |