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+/* 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;
+}
+