1f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/* 2f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Mesa 3-D graphics library 3f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Version: 6.3 4f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 5f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Copyright (C) 1999-2005 Brian Paul All Rights Reserved. 6f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 7f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Permission is hereby granted, free of charge, to any person obtaining a 8f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * copy of this software and associated documentation files (the "Software"), 9f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * to deal in the Software without restriction, including without limitation 10f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * the rights to use, copy, modify, merge, publish, distribute, sublicense, 11f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * and/or sell copies of the Software, and to permit persons to whom the 12f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Software is furnished to do so, subject to the following conditions: 13f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 14f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * The above copyright notice and this permission notice shall be included 15f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * in all copies or substantial portions of the Software. 16f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 17f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS 18f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 19f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL 20f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * BRIAN PAUL BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN 21f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN 22f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. 23f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 24f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 25f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 26f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 27f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \file m_matrix.c 28f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Matrix operations. 29f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 30f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \note 31f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * -# 4x4 transformation matrices are stored in memory in column major order. 32f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * -# Points/vertices are to be thought of as column vectors. 33f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * -# Transformation of a point p by a matrix M is: p' = M * p 34f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 35f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 36f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 37f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#include "main/glheader.h" 38f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#include "main/imports.h" 39f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#include "main/macros.h" 40f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 41f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#include "m_matrix.h" 42f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 43f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 44f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 45f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \defgroup MatFlags MAT_FLAG_XXX-flags 46f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 47f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Bitmasks to indicate different kinds of 4x4 matrices in GLmatrix::flags 48f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 49f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@{*/ 50f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAG_IDENTITY 0 /**< is an identity matrix flag. 51f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * (Not actually used - the identity 52f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * matrix is identified by the absense 53f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * of all other flags.) 54f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 55f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAG_GENERAL 0x1 /**< is a general matrix flag */ 56f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAG_ROTATION 0x2 /**< is a rotation matrix flag */ 57f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAG_TRANSLATION 0x4 /**< is a translation matrix flag */ 58f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAG_UNIFORM_SCALE 0x8 /**< is an uniform scaling matrix flag */ 59f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAG_GENERAL_SCALE 0x10 /**< is a general scaling matrix flag */ 60f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAG_GENERAL_3D 0x20 /**< general 3D matrix flag */ 61f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAG_PERSPECTIVE 0x40 /**< is a perspective proj matrix flag */ 62f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAG_SINGULAR 0x80 /**< is a singular matrix flag */ 63f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_DIRTY_TYPE 0x100 /**< matrix type is dirty */ 64f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_DIRTY_FLAGS 0x200 /**< matrix flags are dirty */ 65f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_DIRTY_INVERSE 0x400 /**< matrix inverse is dirty */ 66f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 67f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** angle preserving matrix flags mask */ 68f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAGS_ANGLE_PRESERVING (MAT_FLAG_ROTATION | \ 69f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_TRANSLATION | \ 70f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_UNIFORM_SCALE) 71f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 72f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** geometry related matrix flags mask */ 73f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAGS_GEOMETRY (MAT_FLAG_GENERAL | \ 74f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_ROTATION | \ 75f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_TRANSLATION | \ 76f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_UNIFORM_SCALE | \ 77f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_GENERAL_SCALE | \ 78f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_GENERAL_3D | \ 79f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_PERSPECTIVE | \ 80f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_SINGULAR) 81f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 82f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** length preserving matrix flags mask */ 83f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAGS_LENGTH_PRESERVING (MAT_FLAG_ROTATION | \ 84f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_TRANSLATION) 85f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 86f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 87f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 3D (non-perspective) matrix flags mask */ 88f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_FLAGS_3D (MAT_FLAG_ROTATION | \ 89f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_TRANSLATION | \ 90f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_UNIFORM_SCALE | \ 91f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_GENERAL_SCALE | \ 92f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_GENERAL_3D) 93f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 94f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** dirty matrix flags mask */ 95f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT_DIRTY (MAT_DIRTY_TYPE | \ 96f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_FLAGS | \ 97f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_INVERSE) 98f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 99f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@}*/ 100f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 101f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 102f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 103f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Test geometry related matrix flags. 104f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 105f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat a pointer to a GLmatrix structure. 106f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param a flags mask. 107f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 108f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \returns non-zero if all geometry related matrix flags are contained within 109f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * the mask, or zero otherwise. 110f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 111f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define TEST_MAT_FLAGS(mat, a) \ 112f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ((MAT_FLAGS_GEOMETRY & (~(a)) & ((mat)->flags) ) == 0) 113f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 114f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 115f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 116f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 117f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Names of the corresponding GLmatrixtype values. 118f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 119f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic const char *types[] = { 120f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org "MATRIX_GENERAL", 121f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org "MATRIX_IDENTITY", 122f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org "MATRIX_3D_NO_ROT", 123f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org "MATRIX_PERSPECTIVE", 124f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org "MATRIX_2D", 125f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org "MATRIX_2D_NO_ROT", 126f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org "MATRIX_3D" 127f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org}; 128f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 129f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 130f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 131f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Identity matrix. 132f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 133f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic GLfloat Identity[16] = { 134f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1.0, 0.0, 0.0, 0.0, 135f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 0.0, 1.0, 0.0, 0.0, 136f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 0.0, 0.0, 1.0, 0.0, 137f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 0.0, 0.0, 0.0, 1.0 138f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org}; 139f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 140f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 141f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 142f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/**********************************************************************/ 143f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** \name Matrix multiplication */ 144f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@{*/ 145f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 146f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define A(row,col) a[(col<<2)+row] 147f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define B(row,col) b[(col<<2)+row] 148f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define P(row,col) product[(col<<2)+row] 149f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 150f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 151f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Perform a full 4x4 matrix multiplication. 152f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 153f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param a matrix. 154f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param b matrix. 155f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param product will receive the product of \p a and \p b. 156f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 157f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \warning Is assumed that \p product != \p b. \p product == \p a is allowed. 158f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 159f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \note KW: 4*16 = 64 multiplications 160f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 161f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \author This \c matmul was contributed by Thomas Malik 162f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 163f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic void matmul4( GLfloat *product, const GLfloat *a, const GLfloat *b ) 164f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 165f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLint i; 166f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org for (i = 0; i < 4; i++) { 167f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat ai0=A(i,0), ai1=A(i,1), ai2=A(i,2), ai3=A(i,3); 168f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(i,0) = ai0 * B(0,0) + ai1 * B(1,0) + ai2 * B(2,0) + ai3 * B(3,0); 169f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(i,1) = ai0 * B(0,1) + ai1 * B(1,1) + ai2 * B(2,1) + ai3 * B(3,1); 170f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(i,2) = ai0 * B(0,2) + ai1 * B(1,2) + ai2 * B(2,2) + ai3 * B(3,2); 171f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(i,3) = ai0 * B(0,3) + ai1 * B(1,3) + ai2 * B(2,3) + ai3 * B(3,3); 172f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 173f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 174f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 175f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 176f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Multiply two matrices known to occupy only the top three rows, such 177f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * as typical model matrices, and orthogonal matrices. 178f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 179f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param a matrix. 180f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param b matrix. 181f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param product will receive the product of \p a and \p b. 182f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 183f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic void matmul34( GLfloat *product, const GLfloat *a, const GLfloat *b ) 184f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 185f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLint i; 186f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org for (i = 0; i < 3; i++) { 187f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat ai0=A(i,0), ai1=A(i,1), ai2=A(i,2), ai3=A(i,3); 188f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(i,0) = ai0 * B(0,0) + ai1 * B(1,0) + ai2 * B(2,0); 189f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(i,1) = ai0 * B(0,1) + ai1 * B(1,1) + ai2 * B(2,1); 190f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(i,2) = ai0 * B(0,2) + ai1 * B(1,2) + ai2 * B(2,2); 191f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(i,3) = ai0 * B(0,3) + ai1 * B(1,3) + ai2 * B(2,3) + ai3; 192f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 193f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(3,0) = 0; 194f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(3,1) = 0; 195f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(3,2) = 0; 196f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org P(3,3) = 1; 197f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 198f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 199f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#undef A 200f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#undef B 201f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#undef P 202f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 203f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 204f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Multiply a matrix by an array of floats with known properties. 205f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 206f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat pointer to a GLmatrix structure containing the left multiplication 207f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * matrix, and that will receive the product result. 208f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param m right multiplication matrix array. 209f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param flags flags of the matrix \p m. 210f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 211f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Joins both flags and marks the type and inverse as dirty. Calls matmul34() 212f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * if both matrices are 3D, or matmul4() otherwise. 213f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 214f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic void matrix_multf( GLmatrix *mat, const GLfloat *m, GLuint flags ) 215f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 216f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= (flags | MAT_DIRTY_TYPE | MAT_DIRTY_INVERSE); 217f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 218f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (TEST_MAT_FLAGS(mat, MAT_FLAGS_3D)) 219f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org matmul34( mat->m, mat->m, m ); 220f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else 221f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org matmul4( mat->m, mat->m, m ); 222f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 223f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 224f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 225f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Matrix multiplication. 226f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 227f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param dest destination matrix. 228f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param a left matrix. 229f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param b right matrix. 230f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 231f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Joins both flags and marks the type and inverse as dirty. Calls matmul34() 232f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * if both matrices are 3D, or matmul4() otherwise. 233f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 234f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 235f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_mul_matrix( GLmatrix *dest, const GLmatrix *a, const GLmatrix *b ) 236f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 237f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org dest->flags = (a->flags | 238f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org b->flags | 239f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_TYPE | 240f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_INVERSE); 241f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 242f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (TEST_MAT_FLAGS(dest, MAT_FLAGS_3D)) 243f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org matmul34( dest->m, a->m, b->m ); 244f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else 245f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org matmul4( dest->m, a->m, b->m ); 246f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 247f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 248f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 249f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Matrix multiplication. 250f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 251f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param dest left and destination matrix. 252f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param m right matrix array. 253f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 254f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Marks the matrix flags with general flag, and type and inverse dirty flags. 255f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Calls matmul4() for the multiplication. 256f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 257f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 258f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_mul_floats( GLmatrix *dest, const GLfloat *m ) 259f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 260f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org dest->flags |= (MAT_FLAG_GENERAL | 261f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_TYPE | 262f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_INVERSE | 263f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_FLAGS); 264f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 265f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org matmul4( dest->m, dest->m, m ); 266f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 267f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 268f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@}*/ 269f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 270f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 271f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/**********************************************************************/ 272f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** \name Matrix output */ 273f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@{*/ 274f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 275f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 276f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Print a matrix array. 277f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 278f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param m matrix array. 279f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 280f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Called by _math_matrix_print() to print a matrix or its inverse. 281f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 282f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic void print_matrix_floats( const GLfloat m[16] ) 283f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 284f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org int i; 285f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org for (i=0;i<4;i++) { 286f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org _mesa_debug(NULL,"\t%f %f %f %f\n", m[i], m[4+i], m[8+i], m[12+i] ); 287f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 288f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 289f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 290f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 291f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Dumps the contents of a GLmatrix structure. 292f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 293f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param m pointer to the GLmatrix structure. 294f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 295f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 296f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_print( const GLmatrix *m ) 297f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 298f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat prod[16]; 299f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 300f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org _mesa_debug(NULL, "Matrix type: %s, flags: %x\n", types[m->type], m->flags); 301f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org print_matrix_floats(m->m); 302f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org _mesa_debug(NULL, "Inverse: \n"); 303f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org print_matrix_floats(m->inv); 304f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org matmul4(prod, m->m, m->inv); 305f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org _mesa_debug(NULL, "Mat * Inverse:\n"); 306f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org print_matrix_floats(prod); 307f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 308f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 309f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@}*/ 310f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 311f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 312f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 313f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * References an element of 4x4 matrix. 314f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 315f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param m matrix array. 316f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param c column of the desired element. 317f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param r row of the desired element. 318f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 319f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \return value of the desired element. 320f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 321f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Calculate the linear storage index of the element and references it. 322f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 323f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MAT(m,r,c) (m)[(c)*4+(r)] 324f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 325f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 326f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/**********************************************************************/ 327f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** \name Matrix inversion */ 328f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@{*/ 329f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 330f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 331f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Swaps the values of two floating point variables. 332f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 333f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Used by invert_matrix_general() to swap the row pointers. 334f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 335f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define SWAP_ROWS(a, b) { GLfloat *_tmp = a; (a)=(b); (b)=_tmp; } 336f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 337f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 338f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Compute inverse of 4x4 transformation matrix. 339f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 340f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat pointer to a GLmatrix structure. The matrix inverse will be 341f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * stored in the GLmatrix::inv attribute. 342f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 343f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix). 344f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 345f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \author 346f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Code contributed by Jacques Leroy jle@star.be 347f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 348f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Calculates the inverse matrix by performing the gaussian matrix reduction 349f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * with partial pivoting followed by back/substitution with the loops manually 350f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * unrolled. 351f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 352f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic GLboolean invert_matrix_general( GLmatrix *mat ) 353f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 354f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat *m = mat->m; 355f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat *out = mat->inv; 356f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat wtmp[4][8]; 357f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat m0, m1, m2, m3, s; 358f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat *r0, *r1, *r2, *r3; 359f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 360f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r0 = wtmp[0], r1 = wtmp[1], r2 = wtmp[2], r3 = wtmp[3]; 361f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 362f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r0[0] = MAT(m,0,0), r0[1] = MAT(m,0,1), 363f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r0[2] = MAT(m,0,2), r0[3] = MAT(m,0,3), 364f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r0[4] = 1.0, r0[5] = r0[6] = r0[7] = 0.0, 365f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 366f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r1[0] = MAT(m,1,0), r1[1] = MAT(m,1,1), 367f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r1[2] = MAT(m,1,2), r1[3] = MAT(m,1,3), 368f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r1[5] = 1.0, r1[4] = r1[6] = r1[7] = 0.0, 369f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 370f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r2[0] = MAT(m,2,0), r2[1] = MAT(m,2,1), 371f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r2[2] = MAT(m,2,2), r2[3] = MAT(m,2,3), 372f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r2[6] = 1.0, r2[4] = r2[5] = r2[7] = 0.0, 373f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 374f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r3[0] = MAT(m,3,0), r3[1] = MAT(m,3,1), 375f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r3[2] = MAT(m,3,2), r3[3] = MAT(m,3,3), 376f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r3[7] = 1.0, r3[4] = r3[5] = r3[6] = 0.0; 377f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 378f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* choose pivot - or die */ 379f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (FABSF(r3[0])>FABSF(r2[0])) SWAP_ROWS(r3, r2); 380f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (FABSF(r2[0])>FABSF(r1[0])) SWAP_ROWS(r2, r1); 381f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (FABSF(r1[0])>FABSF(r0[0])) SWAP_ROWS(r1, r0); 382f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (0.0 == r0[0]) return GL_FALSE; 383f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 384f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* eliminate first variable */ 385f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m1 = r1[0]/r0[0]; m2 = r2[0]/r0[0]; m3 = r3[0]/r0[0]; 386f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r0[1]; r1[1] -= m1 * s; r2[1] -= m2 * s; r3[1] -= m3 * s; 387f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r0[2]; r1[2] -= m1 * s; r2[2] -= m2 * s; r3[2] -= m3 * s; 388f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r0[3]; r1[3] -= m1 * s; r2[3] -= m2 * s; r3[3] -= m3 * s; 389f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r0[4]; 390f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (s != 0.0) { r1[4] -= m1 * s; r2[4] -= m2 * s; r3[4] -= m3 * s; } 391f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r0[5]; 392f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (s != 0.0) { r1[5] -= m1 * s; r2[5] -= m2 * s; r3[5] -= m3 * s; } 393f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r0[6]; 394f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (s != 0.0) { r1[6] -= m1 * s; r2[6] -= m2 * s; r3[6] -= m3 * s; } 395f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r0[7]; 396f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (s != 0.0) { r1[7] -= m1 * s; r2[7] -= m2 * s; r3[7] -= m3 * s; } 397f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 398f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* choose pivot - or die */ 399f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (FABSF(r3[1])>FABSF(r2[1])) SWAP_ROWS(r3, r2); 400f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (FABSF(r2[1])>FABSF(r1[1])) SWAP_ROWS(r2, r1); 401f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (0.0 == r1[1]) return GL_FALSE; 402f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 403f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* eliminate second variable */ 404f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m2 = r2[1]/r1[1]; m3 = r3[1]/r1[1]; 405f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r2[2] -= m2 * r1[2]; r3[2] -= m3 * r1[2]; 406f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r2[3] -= m2 * r1[3]; r3[3] -= m3 * r1[3]; 407f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r1[4]; if (0.0 != s) { r2[4] -= m2 * s; r3[4] -= m3 * s; } 408f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r1[5]; if (0.0 != s) { r2[5] -= m2 * s; r3[5] -= m3 * s; } 409f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r1[6]; if (0.0 != s) { r2[6] -= m2 * s; r3[6] -= m3 * s; } 410f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = r1[7]; if (0.0 != s) { r2[7] -= m2 * s; r3[7] -= m3 * s; } 411f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 412f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* choose pivot - or die */ 413f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (FABSF(r3[2])>FABSF(r2[2])) SWAP_ROWS(r3, r2); 414f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (0.0 == r2[2]) return GL_FALSE; 415f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 416f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* eliminate third variable */ 417f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m3 = r3[2]/r2[2]; 418f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r3[3] -= m3 * r2[3], r3[4] -= m3 * r2[4], 419f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r3[5] -= m3 * r2[5], r3[6] -= m3 * r2[6], 420f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r3[7] -= m3 * r2[7]; 421f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 422f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* last check */ 423f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (0.0 == r3[3]) return GL_FALSE; 424f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 425f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = 1.0F/r3[3]; /* now back substitute row 3 */ 426f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r3[4] *= s; r3[5] *= s; r3[6] *= s; r3[7] *= s; 427f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 428f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m2 = r2[3]; /* now back substitute row 2 */ 429f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = 1.0F/r2[2]; 430f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r2[4] = s * (r2[4] - r3[4] * m2), r2[5] = s * (r2[5] - r3[5] * m2), 431f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r2[6] = s * (r2[6] - r3[6] * m2), r2[7] = s * (r2[7] - r3[7] * m2); 432f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m1 = r1[3]; 433f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r1[4] -= r3[4] * m1, r1[5] -= r3[5] * m1, 434f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r1[6] -= r3[6] * m1, r1[7] -= r3[7] * m1; 435f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m0 = r0[3]; 436f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r0[4] -= r3[4] * m0, r0[5] -= r3[5] * m0, 437f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r0[6] -= r3[6] * m0, r0[7] -= r3[7] * m0; 438f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 439f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m1 = r1[2]; /* now back substitute row 1 */ 440f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = 1.0F/r1[1]; 441f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r1[4] = s * (r1[4] - r2[4] * m1), r1[5] = s * (r1[5] - r2[5] * m1), 442f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r1[6] = s * (r1[6] - r2[6] * m1), r1[7] = s * (r1[7] - r2[7] * m1); 443f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m0 = r0[2]; 444f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r0[4] -= r2[4] * m0, r0[5] -= r2[5] * m0, 445f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r0[6] -= r2[6] * m0, r0[7] -= r2[7] * m0; 446f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 447f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m0 = r0[1]; /* now back substitute row 0 */ 448f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = 1.0F/r0[0]; 449f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r0[4] = s * (r0[4] - r1[4] * m0), r0[5] = s * (r0[5] - r1[5] * m0), 450f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org r0[6] = s * (r0[6] - r1[6] * m0), r0[7] = s * (r0[7] - r1[7] * m0); 451f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 452f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,0) = r0[4]; MAT(out,0,1) = r0[5], 453f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,2) = r0[6]; MAT(out,0,3) = r0[7], 454f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,0) = r1[4]; MAT(out,1,1) = r1[5], 455f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,2) = r1[6]; MAT(out,1,3) = r1[7], 456f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,0) = r2[4]; MAT(out,2,1) = r2[5], 457f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,2) = r2[6]; MAT(out,2,3) = r2[7], 458f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,3,0) = r3[4]; MAT(out,3,1) = r3[5], 459f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,3,2) = r3[6]; MAT(out,3,3) = r3[7]; 460f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 461f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_TRUE; 462f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 463f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#undef SWAP_ROWS 464f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 465f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 466f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Compute inverse of a general 3d transformation matrix. 467f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 468f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat pointer to a GLmatrix structure. The matrix inverse will be 469f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * stored in the GLmatrix::inv attribute. 470f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 471f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix). 472f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 473f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \author Adapted from graphics gems II. 474f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 475f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Calculates the inverse of the upper left by first calculating its 476f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * determinant and multiplying it to the symmetric adjust matrix of each 477f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * element. Finally deals with the translation part by transforming the 478f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * original translation vector using by the calculated submatrix inverse. 479f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 480f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic GLboolean invert_matrix_3d_general( GLmatrix *mat ) 481f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 482f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat *in = mat->m; 483f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat *out = mat->inv; 484f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat pos, neg, t; 485f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat det; 486f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 487f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Calculate the determinant of upper left 3x3 submatrix and 488f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * determine if the matrix is singular. 489f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 490f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org pos = neg = 0.0; 491f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org t = MAT(in,0,0) * MAT(in,1,1) * MAT(in,2,2); 492f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (t >= 0.0) pos += t; else neg += t; 493f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 494f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org t = MAT(in,1,0) * MAT(in,2,1) * MAT(in,0,2); 495f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (t >= 0.0) pos += t; else neg += t; 496f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 497f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org t = MAT(in,2,0) * MAT(in,0,1) * MAT(in,1,2); 498f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (t >= 0.0) pos += t; else neg += t; 499f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 500f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org t = -MAT(in,2,0) * MAT(in,1,1) * MAT(in,0,2); 501f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (t >= 0.0) pos += t; else neg += t; 502f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 503f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org t = -MAT(in,1,0) * MAT(in,0,1) * MAT(in,2,2); 504f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (t >= 0.0) pos += t; else neg += t; 505f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 506f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org t = -MAT(in,0,0) * MAT(in,2,1) * MAT(in,1,2); 507f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (t >= 0.0) pos += t; else neg += t; 508f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 509f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org det = pos + neg; 510f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 511f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (FABSF(det) < 1e-25) 512f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_FALSE; 513f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 514f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org det = 1.0F / det; 515f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,0) = ( (MAT(in,1,1)*MAT(in,2,2) - MAT(in,2,1)*MAT(in,1,2) )*det); 516f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,1) = (- (MAT(in,0,1)*MAT(in,2,2) - MAT(in,2,1)*MAT(in,0,2) )*det); 517f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,2) = ( (MAT(in,0,1)*MAT(in,1,2) - MAT(in,1,1)*MAT(in,0,2) )*det); 518f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,0) = (- (MAT(in,1,0)*MAT(in,2,2) - MAT(in,2,0)*MAT(in,1,2) )*det); 519f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,1) = ( (MAT(in,0,0)*MAT(in,2,2) - MAT(in,2,0)*MAT(in,0,2) )*det); 520f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,2) = (- (MAT(in,0,0)*MAT(in,1,2) - MAT(in,1,0)*MAT(in,0,2) )*det); 521f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,0) = ( (MAT(in,1,0)*MAT(in,2,1) - MAT(in,2,0)*MAT(in,1,1) )*det); 522f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,1) = (- (MAT(in,0,0)*MAT(in,2,1) - MAT(in,2,0)*MAT(in,0,1) )*det); 523f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,2) = ( (MAT(in,0,0)*MAT(in,1,1) - MAT(in,1,0)*MAT(in,0,1) )*det); 524f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 525f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Do the translation part */ 526f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0) + 527f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,1,3) * MAT(out,0,1) + 528f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,2,3) * MAT(out,0,2) ); 529f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,3) = - (MAT(in,0,3) * MAT(out,1,0) + 530f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,1,3) * MAT(out,1,1) + 531f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,2,3) * MAT(out,1,2) ); 532f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,3) = - (MAT(in,0,3) * MAT(out,2,0) + 533f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,1,3) * MAT(out,2,1) + 534f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,2,3) * MAT(out,2,2) ); 535f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 536f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_TRUE; 537f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 538f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 539f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 540f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Compute inverse of a 3d transformation matrix. 541f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 542f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat pointer to a GLmatrix structure. The matrix inverse will be 543f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * stored in the GLmatrix::inv attribute. 544f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 545f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix). 546f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 547f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * If the matrix is not an angle preserving matrix then calls 548f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * invert_matrix_3d_general for the actual calculation. Otherwise calculates 549f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * the inverse matrix analyzing and inverting each of the scaling, rotation and 550f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * translation parts. 551f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 552f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic GLboolean invert_matrix_3d( GLmatrix *mat ) 553f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 554f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat *in = mat->m; 555f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat *out = mat->inv; 556f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 557f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (!TEST_MAT_FLAGS(mat, MAT_FLAGS_ANGLE_PRESERVING)) { 558f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return invert_matrix_3d_general( mat ); 559f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 560f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 561f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (mat->flags & MAT_FLAG_UNIFORM_SCALE) { 562f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat scale = (MAT(in,0,0) * MAT(in,0,0) + 563f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,0,1) * MAT(in,0,1) + 564f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,0,2) * MAT(in,0,2)); 565f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 566f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (scale == 0.0) 567f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_FALSE; 568f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 569f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org scale = 1.0F / scale; 570f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 571f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Transpose and scale the 3 by 3 upper-left submatrix. */ 572f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,0) = scale * MAT(in,0,0); 573f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,0) = scale * MAT(in,0,1); 574f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,0) = scale * MAT(in,0,2); 575f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,1) = scale * MAT(in,1,0); 576f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,1) = scale * MAT(in,1,1); 577f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,1) = scale * MAT(in,1,2); 578f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,2) = scale * MAT(in,2,0); 579f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,2) = scale * MAT(in,2,1); 580f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,2) = scale * MAT(in,2,2); 581f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 582f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if (mat->flags & MAT_FLAG_ROTATION) { 583f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Transpose the 3 by 3 upper-left submatrix. */ 584f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,0) = MAT(in,0,0); 585f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,0) = MAT(in,0,1); 586f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,0) = MAT(in,0,2); 587f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,1) = MAT(in,1,0); 588f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,1) = MAT(in,1,1); 589f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,1) = MAT(in,1,2); 590f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,2) = MAT(in,2,0); 591f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,2) = MAT(in,2,1); 592f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,2) = MAT(in,2,2); 593f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 594f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 595f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* pure translation */ 596f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( out, Identity, sizeof(Identity) ); 597f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,3) = - MAT(in,0,3); 598f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,3) = - MAT(in,1,3); 599f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,3) = - MAT(in,2,3); 600f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_TRUE; 601f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 602f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 603f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (mat->flags & MAT_FLAG_TRANSLATION) { 604f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Do the translation part */ 605f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0) + 606f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,1,3) * MAT(out,0,1) + 607f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,2,3) * MAT(out,0,2) ); 608f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,3) = - (MAT(in,0,3) * MAT(out,1,0) + 609f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,1,3) * MAT(out,1,1) + 610f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,2,3) * MAT(out,1,2) ); 611f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,3) = - (MAT(in,0,3) * MAT(out,2,0) + 612f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,1,3) * MAT(out,2,1) + 613f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(in,2,3) * MAT(out,2,2) ); 614f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 615f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 616f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,3) = MAT(out,1,3) = MAT(out,2,3) = 0.0; 617f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 618f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 619f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_TRUE; 620f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 621f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 622f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 623f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Compute inverse of an identity transformation matrix. 624f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 625f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat pointer to a GLmatrix structure. The matrix inverse will be 626f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * stored in the GLmatrix::inv attribute. 627f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 628f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \return always GL_TRUE. 629f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 630f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Simply copies Identity into GLmatrix::inv. 631f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 632f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic GLboolean invert_matrix_identity( GLmatrix *mat ) 633f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 634f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( mat->inv, Identity, sizeof(Identity) ); 635f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_TRUE; 636f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 637f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 638f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 639f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Compute inverse of a no-rotation 3d transformation matrix. 640f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 641f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat pointer to a GLmatrix structure. The matrix inverse will be 642f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * stored in the GLmatrix::inv attribute. 643f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 644f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix). 645f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 646f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Calculates the 647f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 648f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic GLboolean invert_matrix_3d_no_rot( GLmatrix *mat ) 649f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 650f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat *in = mat->m; 651f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat *out = mat->inv; 652f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 653f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (MAT(in,0,0) == 0 || MAT(in,1,1) == 0 || MAT(in,2,2) == 0 ) 654f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_FALSE; 655f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 656f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( out, Identity, 16 * sizeof(GLfloat) ); 657f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,0) = 1.0F / MAT(in,0,0); 658f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,1) = 1.0F / MAT(in,1,1); 659f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,2) = 1.0F / MAT(in,2,2); 660f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 661f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (mat->flags & MAT_FLAG_TRANSLATION) { 662f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0)); 663f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,3) = - (MAT(in,1,3) * MAT(out,1,1)); 664f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,3) = - (MAT(in,2,3) * MAT(out,2,2)); 665f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 666f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 667f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_TRUE; 668f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 669f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 670f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 671f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Compute inverse of a no-rotation 2d transformation matrix. 672f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 673f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat pointer to a GLmatrix structure. The matrix inverse will be 674f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * stored in the GLmatrix::inv attribute. 675f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 676f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix). 677f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 678f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Calculates the inverse matrix by applying the inverse scaling and 679f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * translation to the identity matrix. 680f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 681f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic GLboolean invert_matrix_2d_no_rot( GLmatrix *mat ) 682f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 683f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat *in = mat->m; 684f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat *out = mat->inv; 685f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 686f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (MAT(in,0,0) == 0 || MAT(in,1,1) == 0) 687f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_FALSE; 688f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 689f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( out, Identity, 16 * sizeof(GLfloat) ); 690f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,0) = 1.0F / MAT(in,0,0); 691f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,1) = 1.0F / MAT(in,1,1); 692f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 693f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (mat->flags & MAT_FLAG_TRANSLATION) { 694f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0)); 695f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,3) = - (MAT(in,1,3) * MAT(out,1,1)); 696f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 697f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 698f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_TRUE; 699f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 700f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 701f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#if 0 702f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/* broken */ 703f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic GLboolean invert_matrix_perspective( GLmatrix *mat ) 704f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 705f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat *in = mat->m; 706f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat *out = mat->inv; 707f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 708f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (MAT(in,2,3) == 0) 709f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_FALSE; 710f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 711f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( out, Identity, 16 * sizeof(GLfloat) ); 712f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 713f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,0) = 1.0F / MAT(in,0,0); 714f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,1) = 1.0F / MAT(in,1,1); 715f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 716f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,0,3) = MAT(in,0,2); 717f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,1,3) = MAT(in,1,2); 718f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 719f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,2) = 0; 720f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,2,3) = -1; 721f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 722f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,3,2) = 1.0F / MAT(in,2,3); 723f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT(out,3,3) = MAT(in,2,2) * MAT(out,3,2); 724f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 725f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_TRUE; 726f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 727f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#endif 728f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 729f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 730f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Matrix inversion function pointer type. 731f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 732f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgtypedef GLboolean (*inv_mat_func)( GLmatrix *mat ); 733f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 734f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 735f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Table of the matrix inversion functions according to the matrix type. 736f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 737f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic inv_mat_func inv_mat_tab[7] = { 738f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org invert_matrix_general, 739f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org invert_matrix_identity, 740f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org invert_matrix_3d_no_rot, 741f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#if 0 742f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Don't use this function for now - it fails when the projection matrix 743f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * is premultiplied by a translation (ala Chromium's tilesort SPU). 744f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 745f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org invert_matrix_perspective, 746f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#else 747f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org invert_matrix_general, 748f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#endif 749f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org invert_matrix_3d, /* lazy! */ 750f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org invert_matrix_2d_no_rot, 751f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org invert_matrix_3d 752f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org}; 753f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 754f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 755f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Compute inverse of a transformation matrix. 756f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 757f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat pointer to a GLmatrix structure. The matrix inverse will be 758f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * stored in the GLmatrix::inv attribute. 759f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 760f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \return GL_TRUE for success, GL_FALSE for failure (\p singular matrix). 761f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 762f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Calls the matrix inversion function in inv_mat_tab corresponding to the 763f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * given matrix type. In case of failure, updates the MAT_FLAG_SINGULAR flag, 764f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * and copies the identity matrix into GLmatrix::inv. 765f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 766f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic GLboolean matrix_invert( GLmatrix *mat ) 767f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 768f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (inv_mat_tab[mat->type](mat)) { 769f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags &= ~MAT_FLAG_SINGULAR; 770f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_TRUE; 771f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } else { 772f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_SINGULAR; 773f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( mat->inv, Identity, sizeof(Identity) ); 774f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_FALSE; 775f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 776f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 777f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 778f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@}*/ 779f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 780f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 781f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/**********************************************************************/ 782f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** \name Matrix generation */ 783f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@{*/ 784f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 785f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 786f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Generate a 4x4 transformation matrix from glRotate parameters, and 787f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * post-multiply the input matrix by it. 788f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 789f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \author 790f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * This function was contributed by Erich Boleyn (erich@uruk.org). 791f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Optimizations contributed by Rudolf Opalla (rudi@khm.de). 792f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 793f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 794f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_rotate( GLmatrix *mat, 795f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat angle, GLfloat x, GLfloat y, GLfloat z ) 796f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 797f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat xx, yy, zz, xy, yz, zx, xs, ys, zs, one_c, s, c; 798f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat m[16]; 799f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLboolean optimized; 800f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 801f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org s = (GLfloat) sin( angle * DEG2RAD ); 802f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org c = (GLfloat) cos( angle * DEG2RAD ); 803f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 804f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy(m, Identity, sizeof(GLfloat)*16); 805f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org optimized = GL_FALSE; 806f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 807f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define M(row,col) m[col*4+row] 808f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 809f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (x == 0.0F) { 810f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (y == 0.0F) { 811f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (z != 0.0F) { 812f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org optimized = GL_TRUE; 813f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* rotate only around z-axis */ 814f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,0) = c; 815f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,1) = c; 816f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (z < 0.0F) { 817f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,1) = s; 818f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,0) = -s; 819f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 820f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 821f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,1) = -s; 822f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,0) = s; 823f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 824f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 825f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 826f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if (z == 0.0F) { 827f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org optimized = GL_TRUE; 828f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* rotate only around y-axis */ 829f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,0) = c; 830f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,2) = c; 831f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (y < 0.0F) { 832f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,2) = -s; 833f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,0) = s; 834f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 835f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 836f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,2) = s; 837f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,0) = -s; 838f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 839f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 840f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 841f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if (y == 0.0F) { 842f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (z == 0.0F) { 843f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org optimized = GL_TRUE; 844f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* rotate only around x-axis */ 845f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,1) = c; 846f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,2) = c; 847f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (x < 0.0F) { 848f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,2) = s; 849f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,1) = -s; 850f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 851f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 852f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,2) = -s; 853f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,1) = s; 854f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 855f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 856f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 857f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 858f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (!optimized) { 859f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat mag = SQRTF(x * x + y * y + z * z); 860f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 861f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (mag <= 1.0e-4) { 862f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* no rotation, leave mat as-is */ 863f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return; 864f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 865f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 866f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org x /= mag; 867f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org y /= mag; 868f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org z /= mag; 869f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 870f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 871f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* 872f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Arbitrary axis rotation matrix. 873f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 874f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * This is composed of 5 matrices, Rz, Ry, T, Ry', Rz', multiplied 875f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * like so: Rz * Ry * T * Ry' * Rz'. T is the final rotation 876f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * (which is about the X-axis), and the two composite transforms 877f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Ry' * Rz' and Rz * Ry are (respectively) the rotations necessary 878f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * from the arbitrary axis to the X-axis then back. They are 879f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * all elementary rotations. 880f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 881f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Rz' is a rotation about the Z-axis, to bring the axis vector 882f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * into the x-z plane. Then Ry' is applied, rotating about the 883f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Y-axis to bring the axis vector parallel with the X-axis. The 884f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * rotation about the X-axis is then performed. Ry and Rz are 885f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * simply the respective inverse transforms to bring the arbitrary 886f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * axis back to its original orientation. The first transforms 887f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Rz' and Ry' are considered inverses, since the data from the 888f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * arbitrary axis gives you info on how to get to it, not how 889f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * to get away from it, and an inverse must be applied. 890f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 891f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * The basic calculation used is to recognize that the arbitrary 892f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * axis vector (x, y, z), since it is of unit length, actually 893f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * represents the sines and cosines of the angles to rotate the 894f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * X-axis to the same orientation, with theta being the angle about 895f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Z and phi the angle about Y (in the order described above) 896f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * as follows: 897f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 898f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * cos ( theta ) = x / sqrt ( 1 - z^2 ) 899f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * sin ( theta ) = y / sqrt ( 1 - z^2 ) 900f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 901f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * cos ( phi ) = sqrt ( 1 - z^2 ) 902f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * sin ( phi ) = z 903f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 904f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Note that cos ( phi ) can further be inserted to the above 905f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * formulas: 906f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 907f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * cos ( theta ) = x / cos ( phi ) 908f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * sin ( theta ) = y / sin ( phi ) 909f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 910f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * ...etc. Because of those relations and the standard trigonometric 911f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * relations, it is pssible to reduce the transforms down to what 912f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * is used below. It may be that any primary axis chosen will give the 913f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * same results (modulo a sign convention) using thie method. 914f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 915f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Particularly nice is to notice that all divisions that might 916f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * have caused trouble when parallel to certain planes or 917f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * axis go away with care paid to reducing the expressions. 918f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * After checking, it does perform correctly under all cases, since 919f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * in all the cases of division where the denominator would have 920f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * been zero, the numerator would have been zero as well, giving 921f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * the expected result. 922f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 923f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 924f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org xx = x * x; 925f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org yy = y * y; 926f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org zz = z * z; 927f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org xy = x * y; 928f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org yz = y * z; 929f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org zx = z * x; 930f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org xs = x * s; 931f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ys = y * s; 932f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org zs = z * s; 933f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org one_c = 1.0F - c; 934f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 935f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* We already hold the identity-matrix so we can skip some statements */ 936f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,0) = (one_c * xx) + c; 937f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,1) = (one_c * xy) - zs; 938f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,2) = (one_c * zx) + ys; 939f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/* M(0,3) = 0.0F; */ 940f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 941f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,0) = (one_c * xy) + zs; 942f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,1) = (one_c * yy) + c; 943f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,2) = (one_c * yz) - xs; 944f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/* M(1,3) = 0.0F; */ 945f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 946f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,0) = (one_c * zx) - ys; 947f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,1) = (one_c * yz) + xs; 948f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,2) = (one_c * zz) + c; 949f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/* M(2,3) = 0.0F; */ 950f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 951f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/* 952f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(3,0) = 0.0F; 953f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(3,1) = 0.0F; 954f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(3,2) = 0.0F; 955f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(3,3) = 1.0F; 956f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org*/ 957f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 958f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#undef M 959f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 960f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org matrix_multf( mat, m, MAT_FLAG_ROTATION ); 961f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 962f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 963f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 964f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Apply a perspective projection matrix. 965f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 966f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat matrix to apply the projection. 967f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param left left clipping plane coordinate. 968f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param right right clipping plane coordinate. 969f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param bottom bottom clipping plane coordinate. 970f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param top top clipping plane coordinate. 971f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param nearval distance to the near clipping plane. 972f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param farval distance to the far clipping plane. 973f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 974f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Creates the projection matrix and multiplies it with \p mat, marking the 975f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * MAT_FLAG_PERSPECTIVE flag. 976f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 977f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 978f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_frustum( GLmatrix *mat, 979f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat left, GLfloat right, 980f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat bottom, GLfloat top, 981f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat nearval, GLfloat farval ) 982f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 983f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat x, y, a, b, c, d; 984f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat m[16]; 985f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 986f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org x = (2.0F*nearval) / (right-left); 987f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org y = (2.0F*nearval) / (top-bottom); 988f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org a = (right+left) / (right-left); 989f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org b = (top+bottom) / (top-bottom); 990f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org c = -(farval+nearval) / ( farval-nearval); 991f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org d = -(2.0F*farval*nearval) / (farval-nearval); /* error? */ 992f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 993f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define M(row,col) m[col*4+row] 994f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,0) = x; M(0,1) = 0.0F; M(0,2) = a; M(0,3) = 0.0F; 995f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,0) = 0.0F; M(1,1) = y; M(1,2) = b; M(1,3) = 0.0F; 996f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,0) = 0.0F; M(2,1) = 0.0F; M(2,2) = c; M(2,3) = d; 997f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(3,0) = 0.0F; M(3,1) = 0.0F; M(3,2) = -1.0F; M(3,3) = 0.0F; 998f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#undef M 999f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1000f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org matrix_multf( mat, m, MAT_FLAG_PERSPECTIVE ); 1001f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1002f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1003f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1004f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Apply an orthographic projection matrix. 1005f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1006f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat matrix to apply the projection. 1007f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param left left clipping plane coordinate. 1008f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param right right clipping plane coordinate. 1009f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param bottom bottom clipping plane coordinate. 1010f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param top top clipping plane coordinate. 1011f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param nearval distance to the near clipping plane. 1012f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param farval distance to the far clipping plane. 1013f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1014f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Creates the projection matrix and multiplies it with \p mat, marking the 1015f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * MAT_FLAG_GENERAL_SCALE and MAT_FLAG_TRANSLATION flags. 1016f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1017f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1018f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_ortho( GLmatrix *mat, 1019f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat left, GLfloat right, 1020f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat bottom, GLfloat top, 1021f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat nearval, GLfloat farval ) 1022f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1023f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat m[16]; 1024f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1025f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define M(row,col) m[col*4+row] 1026f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,0) = 2.0F / (right-left); 1027f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,1) = 0.0F; 1028f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,2) = 0.0F; 1029f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(0,3) = -(right+left) / (right-left); 1030f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1031f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,0) = 0.0F; 1032f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,1) = 2.0F / (top-bottom); 1033f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,2) = 0.0F; 1034f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(1,3) = -(top+bottom) / (top-bottom); 1035f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1036f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,0) = 0.0F; 1037f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,1) = 0.0F; 1038f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,2) = -2.0F / (farval-nearval); 1039f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(2,3) = -(farval+nearval) / (farval-nearval); 1040f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1041f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(3,0) = 0.0F; 1042f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(3,1) = 0.0F; 1043f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(3,2) = 0.0F; 1044f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org M(3,3) = 1.0F; 1045f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#undef M 1046f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1047f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org matrix_multf( mat, m, (MAT_FLAG_GENERAL_SCALE|MAT_FLAG_TRANSLATION)); 1048f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1049f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1050f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1051f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Multiply a matrix with a general scaling matrix. 1052f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1053f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat matrix. 1054f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param x x axis scale factor. 1055f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param y y axis scale factor. 1056f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param z z axis scale factor. 1057f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1058f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Multiplies in-place the elements of \p mat by the scale factors. Checks if 1059f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * the scales factors are roughly the same, marking the MAT_FLAG_UNIFORM_SCALE 1060f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * flag, or MAT_FLAG_GENERAL_SCALE. Marks the MAT_DIRTY_TYPE and 1061f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * MAT_DIRTY_INVERSE dirty flags. 1062f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1063f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1064f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_scale( GLmatrix *mat, GLfloat x, GLfloat y, GLfloat z ) 1065f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1066f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat *m = mat->m; 1067f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m[0] *= x; m[4] *= y; m[8] *= z; 1068f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m[1] *= x; m[5] *= y; m[9] *= z; 1069f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m[2] *= x; m[6] *= y; m[10] *= z; 1070f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m[3] *= x; m[7] *= y; m[11] *= z; 1071f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1072f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (FABSF(x - y) < 1e-8 && FABSF(x - z) < 1e-8) 1073f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_UNIFORM_SCALE; 1074f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else 1075f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_GENERAL_SCALE; 1076f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1077f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= (MAT_DIRTY_TYPE | 1078f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_INVERSE); 1079f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1080f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1081f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1082f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Multiply a matrix with a translation matrix. 1083f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1084f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat matrix. 1085f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param x translation vector x coordinate. 1086f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param y translation vector y coordinate. 1087f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param z translation vector z coordinate. 1088f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1089f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Adds the translation coordinates to the elements of \p mat in-place. Marks 1090f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * the MAT_FLAG_TRANSLATION flag, and the MAT_DIRTY_TYPE and MAT_DIRTY_INVERSE 1091f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * dirty flags. 1092f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1093f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1094f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_translate( GLmatrix *mat, GLfloat x, GLfloat y, GLfloat z ) 1095f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1096f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat *m = mat->m; 1097f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m[12] = m[0] * x + m[4] * y + m[8] * z + m[12]; 1098f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m[13] = m[1] * x + m[5] * y + m[9] * z + m[13]; 1099f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m[14] = m[2] * x + m[6] * y + m[10] * z + m[14]; 1100f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m[15] = m[3] * x + m[7] * y + m[11] * z + m[15]; 1101f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1102f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= (MAT_FLAG_TRANSLATION | 1103f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_TYPE | 1104f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_INVERSE); 1105f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1106f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1107f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1108f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1109f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Set matrix to do viewport and depthrange mapping. 1110f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Transforms Normalized Device Coords to window/Z values. 1111f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1112f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1113f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_viewport(GLmatrix *m, GLint x, GLint y, GLint width, GLint height, 1114f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat zNear, GLfloat zFar, GLfloat depthMax) 1115f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1116f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->m[MAT_SX] = (GLfloat) width / 2.0F; 1117f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->m[MAT_TX] = m->m[MAT_SX] + x; 1118f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->m[MAT_SY] = (GLfloat) height / 2.0F; 1119f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->m[MAT_TY] = m->m[MAT_SY] + y; 1120f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->m[MAT_SZ] = depthMax * ((zFar - zNear) / 2.0F); 1121f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->m[MAT_TZ] = depthMax * ((zFar - zNear) / 2.0F + zNear); 1122f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->flags = MAT_FLAG_GENERAL_SCALE | MAT_FLAG_TRANSLATION; 1123f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->type = MATRIX_3D_NO_ROT; 1124f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1125f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1126f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1127f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1128f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Set a matrix to the identity matrix. 1129f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1130f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat matrix. 1131f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1132f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Copies ::Identity into \p GLmatrix::m, and into GLmatrix::inv if not NULL. 1133f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Sets the matrix type to identity, and clear the dirty flags. 1134f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1135f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1136f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_set_identity( GLmatrix *mat ) 1137f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1138f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( mat->m, Identity, 16*sizeof(GLfloat) ); 1139f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( mat->inv, Identity, 16*sizeof(GLfloat) ); 1140f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1141f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_IDENTITY; 1142f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags &= ~(MAT_DIRTY_FLAGS| 1143f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_TYPE| 1144f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_DIRTY_INVERSE); 1145f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1146f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1147f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@}*/ 1148f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1149f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1150f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/**********************************************************************/ 1151f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** \name Matrix analysis */ 1152f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@{*/ 1153f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1154f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define ZERO(x) (1<<x) 1155f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define ONE(x) (1<<(x+16)) 1156f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1157f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MASK_NO_TRX (ZERO(12) | ZERO(13) | ZERO(14)) 1158f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MASK_NO_2D_SCALE ( ONE(0) | ONE(5)) 1159f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1160f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MASK_IDENTITY ( ONE(0) | ZERO(4) | ZERO(8) | ZERO(12) |\ 1161f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(1) | ONE(5) | ZERO(9) | ZERO(13) |\ 1162f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(2) | ZERO(6) | ONE(10) | ZERO(14) |\ 1163f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(3) | ZERO(7) | ZERO(11) | ONE(15) ) 1164f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1165f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MASK_2D_NO_ROT ( ZERO(4) | ZERO(8) | \ 1166f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(1) | ZERO(9) | \ 1167f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(2) | ZERO(6) | ONE(10) | ZERO(14) |\ 1168f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(3) | ZERO(7) | ZERO(11) | ONE(15) ) 1169f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1170f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MASK_2D ( ZERO(8) | \ 1171f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(9) | \ 1172f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(2) | ZERO(6) | ONE(10) | ZERO(14) |\ 1173f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(3) | ZERO(7) | ZERO(11) | ONE(15) ) 1174f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1175f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1176f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MASK_3D_NO_ROT ( ZERO(4) | ZERO(8) | \ 1177f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(1) | ZERO(9) | \ 1178f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(2) | ZERO(6) | \ 1179f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(3) | ZERO(7) | ZERO(11) | ONE(15) ) 1180f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1181f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MASK_3D ( \ 1182f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org \ 1183f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org \ 1184f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(3) | ZERO(7) | ZERO(11) | ONE(15) ) 1185f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1186f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1187f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define MASK_PERSPECTIVE ( ZERO(4) | ZERO(12) |\ 1188f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(1) | ZERO(13) |\ 1189f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(2) | ZERO(6) | \ 1190f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org ZERO(3) | ZERO(7) | ZERO(15) ) 1191f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1192f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define SQ(x) ((x)*(x)) 1193f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1194f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1195f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Determine type and flags from scratch. 1196f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1197f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat matrix. 1198f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1199f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * This is expensive enough to only want to do it once. 1200f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1201f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic void analyse_from_scratch( GLmatrix *mat ) 1202f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1203f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat *m = mat->m; 1204f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLuint mask = 0; 1205f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLuint i; 1206f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1207f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org for (i = 0 ; i < 16 ; i++) { 1208f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (m[i] == 0.0) mask |= (1<<i); 1209f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1210f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1211f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (m[0] == 1.0F) mask |= (1<<16); 1212f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (m[5] == 1.0F) mask |= (1<<21); 1213f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (m[10] == 1.0F) mask |= (1<<26); 1214f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (m[15] == 1.0F) mask |= (1<<31); 1215f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1216f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags &= ~MAT_FLAGS_GEOMETRY; 1217f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1218f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Check for translation - no-one really cares 1219f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1220f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if ((mask & MASK_NO_TRX) != MASK_NO_TRX) 1221f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_TRANSLATION; 1222f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1223f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Do the real work 1224f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1225f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (mask == (GLuint) MASK_IDENTITY) { 1226f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_IDENTITY; 1227f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1228f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if ((mask & MASK_2D_NO_ROT) == (GLuint) MASK_2D_NO_ROT) { 1229f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_2D_NO_ROT; 1230f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1231f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if ((mask & MASK_NO_2D_SCALE) != MASK_NO_2D_SCALE) 1232f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_GENERAL_SCALE; 1233f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1234f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if ((mask & MASK_2D) == (GLuint) MASK_2D) { 1235f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat mm = DOT2(m, m); 1236f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat m4m4 = DOT2(m+4,m+4); 1237f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat mm4 = DOT2(m,m+4); 1238f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1239f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_2D; 1240f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1241f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Check for scale */ 1242f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (SQ(mm-1) > SQ(1e-6) || 1243f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org SQ(m4m4-1) > SQ(1e-6)) 1244f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_GENERAL_SCALE; 1245f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1246f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Check for rotation */ 1247f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (SQ(mm4) > SQ(1e-6)) 1248f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_GENERAL_3D; 1249f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else 1250f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_ROTATION; 1251f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1252f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1253f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if ((mask & MASK_3D_NO_ROT) == (GLuint) MASK_3D_NO_ROT) { 1254f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_3D_NO_ROT; 1255f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1256f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Check for scale */ 1257f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (SQ(m[0]-m[5]) < SQ(1e-6) && 1258f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org SQ(m[0]-m[10]) < SQ(1e-6)) { 1259f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (SQ(m[0]-1.0) > SQ(1e-6)) { 1260f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_UNIFORM_SCALE; 1261f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1262f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1263f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 1264f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_GENERAL_SCALE; 1265f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1266f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1267f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if ((mask & MASK_3D) == (GLuint) MASK_3D) { 1268f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat c1 = DOT3(m,m); 1269f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat c2 = DOT3(m+4,m+4); 1270f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat c3 = DOT3(m+8,m+8); 1271f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat d1 = DOT3(m, m+4); 1272f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org GLfloat cp[3]; 1273f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1274f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_3D; 1275f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1276f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Check for scale */ 1277f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (SQ(c1-c2) < SQ(1e-6) && SQ(c1-c3) < SQ(1e-6)) { 1278f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (SQ(c1-1.0) > SQ(1e-6)) 1279f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_UNIFORM_SCALE; 1280f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* else no scale at all */ 1281f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1282f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 1283f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_GENERAL_SCALE; 1284f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1285f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1286f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org /* Check for rotation */ 1287f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (SQ(d1) < SQ(1e-6)) { 1288f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org CROSS3( cp, m, m+4 ); 1289f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org SUB_3V( cp, cp, (m+8) ); 1290f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (LEN_SQUARED_3FV(cp) < SQ(1e-6)) 1291f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_ROTATION; 1292f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else 1293f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_GENERAL_3D; 1294f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1295f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 1296f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_GENERAL_3D; /* shear, etc */ 1297f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1298f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1299f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if ((mask & MASK_PERSPECTIVE) == MASK_PERSPECTIVE && m[11]==-1.0F) { 1300f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_PERSPECTIVE; 1301f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_GENERAL; 1302f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1303f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 1304f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_GENERAL; 1305f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags |= MAT_FLAG_GENERAL; 1306f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1307f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1308f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1309f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1310f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Analyze a matrix given that its flags are accurate. 1311f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1312f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * This is the more common operation, hopefully. 1313f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1314f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgstatic void analyse_from_flags( GLmatrix *mat ) 1315f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1316f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat *m = mat->m; 1317f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1318f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (TEST_MAT_FLAGS(mat, 0)) { 1319f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_IDENTITY; 1320f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1321f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if (TEST_MAT_FLAGS(mat, (MAT_FLAG_TRANSLATION | 1322f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_UNIFORM_SCALE | 1323f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_GENERAL_SCALE))) { 1324f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if ( m[10]==1.0F && m[14]==0.0F ) { 1325f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_2D_NO_ROT; 1326f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1327f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 1328f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_3D_NO_ROT; 1329f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1330f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1331f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if (TEST_MAT_FLAGS(mat, MAT_FLAGS_3D)) { 1332f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if ( m[ 8]==0.0F 1333f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org && m[ 9]==0.0F 1334f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org && m[2]==0.0F && m[6]==0.0F && m[10]==1.0F && m[14]==0.0F) { 1335f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_2D; 1336f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1337f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 1338f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_3D; 1339f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1340f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1341f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else if ( m[4]==0.0F && m[12]==0.0F 1342f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org && m[1]==0.0F && m[13]==0.0F 1343f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org && m[2]==0.0F && m[6]==0.0F 1344f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org && m[3]==0.0F && m[7]==0.0F && m[11]==-1.0F && m[15]==0.0F) { 1345f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_PERSPECTIVE; 1346f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1347f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else { 1348f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->type = MATRIX_GENERAL; 1349f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1350f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1351f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1352f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1353f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Analyze and update a matrix. 1354f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1355f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat matrix. 1356f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1357f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * If the matrix type is dirty then calls either analyse_from_scratch() or 1358f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * analyse_from_flags() to determine its type, according to whether the flags 1359f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * are dirty or not, respectively. If the matrix has an inverse and it's dirty 1360f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * then calls matrix_invert(). Finally clears the dirty flags. 1361f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1362f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1363f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_analyse( GLmatrix *mat ) 1364f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1365f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (mat->flags & MAT_DIRTY_TYPE) { 1366f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (mat->flags & MAT_DIRTY_FLAGS) 1367f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org analyse_from_scratch( mat ); 1368f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else 1369f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org analyse_from_flags( mat ); 1370f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1371f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1372f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (mat->inv && (mat->flags & MAT_DIRTY_INVERSE)) { 1373f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org matrix_invert( mat ); 1374f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags &= ~MAT_DIRTY_INVERSE; 1375f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1376f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1377f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags &= ~(MAT_DIRTY_FLAGS | MAT_DIRTY_TYPE); 1378f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1379f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1380f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@}*/ 1381f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1382f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1383f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1384f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Test if the given matrix preserves vector lengths. 1385f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1386f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgGLboolean 1387f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_is_length_preserving( const GLmatrix *m ) 1388f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1389f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return TEST_MAT_FLAGS( m, MAT_FLAGS_LENGTH_PRESERVING); 1390f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1391f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1392f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1393f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1394f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Test if the given matrix does any rotation. 1395f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * (or perhaps if the upper-left 3x3 is non-identity) 1396f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1397f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgGLboolean 1398f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_has_rotation( const GLmatrix *m ) 1399f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1400f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (m->flags & (MAT_FLAG_GENERAL | 1401f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_ROTATION | 1402f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_GENERAL_3D | 1403f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org MAT_FLAG_PERSPECTIVE)) 1404f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_TRUE; 1405f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org else 1406f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return GL_FALSE; 1407f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1408f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1409f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1410f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgGLboolean 1411f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_is_general_scale( const GLmatrix *m ) 1412f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1413f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return (m->flags & MAT_FLAG_GENERAL_SCALE) ? GL_TRUE : GL_FALSE; 1414f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1415f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1416f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1417f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgGLboolean 1418f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_is_dirty( const GLmatrix *m ) 1419f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1420f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org return (m->flags & MAT_DIRTY) ? GL_TRUE : GL_FALSE; 1421f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1422f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1423f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1424f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/**********************************************************************/ 1425f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** \name Matrix setup */ 1426f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@{*/ 1427f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1428f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1429f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Copy a matrix. 1430f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1431f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param to destination matrix. 1432f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param from source matrix. 1433f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1434f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Copies all fields in GLmatrix, creating an inverse array if necessary. 1435f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1436f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1437f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_copy( GLmatrix *to, const GLmatrix *from ) 1438f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1439f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( to->m, from->m, sizeof(Identity) ); 1440f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy(to->inv, from->inv, 16 * sizeof(GLfloat)); 1441f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to->flags = from->flags; 1442f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to->type = from->type; 1443f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1444f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1445f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1446f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Loads a matrix array into GLmatrix. 1447f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1448f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param m matrix array. 1449f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param mat matrix. 1450f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1451f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Copies \p m into GLmatrix::m and marks the MAT_FLAG_GENERAL and MAT_DIRTY 1452f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * flags. 1453f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1454f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1455f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_loadf( GLmatrix *mat, const GLfloat *m ) 1456f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1457f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( mat->m, m, 16*sizeof(GLfloat) ); 1458f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org mat->flags = (MAT_FLAG_GENERAL | MAT_DIRTY); 1459f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1460f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1461f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1462f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Matrix constructor. 1463f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1464f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param m matrix. 1465f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1466f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Initialize the GLmatrix fields. 1467f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1468f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1469f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_ctr( GLmatrix *m ) 1470f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1471f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->m = (GLfloat *) _mesa_align_malloc( 16 * sizeof(GLfloat), 16 ); 1472f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (m->m) 1473f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( m->m, Identity, sizeof(Identity) ); 1474f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->inv = (GLfloat *) _mesa_align_malloc( 16 * sizeof(GLfloat), 16 ); 1475f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (m->inv) 1476f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org memcpy( m->inv, Identity, sizeof(Identity) ); 1477f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->type = MATRIX_IDENTITY; 1478f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->flags = 0; 1479f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1480f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1481f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1482f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Matrix destructor. 1483f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1484f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param m matrix. 1485f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1486f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Frees the data in a GLmatrix. 1487f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1488f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1489f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_matrix_dtr( GLmatrix *m ) 1490f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1491f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (m->m) { 1492f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org _mesa_align_free( m->m ); 1493f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->m = NULL; 1494f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1495f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org if (m->inv) { 1496f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org _mesa_align_free( m->inv ); 1497f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org m->inv = NULL; 1498f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org } 1499f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1500f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1501f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@}*/ 1502f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1503f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1504f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/**********************************************************************/ 1505f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** \name Matrix transpose */ 1506f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@{*/ 1507f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1508f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1509f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Transpose a GLfloat matrix. 1510f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1511f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param to destination array. 1512f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param from source array. 1513f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1514f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1515f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_transposef( GLfloat to[16], const GLfloat from[16] ) 1516f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1517f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[0] = from[0]; 1518f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[1] = from[4]; 1519f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[2] = from[8]; 1520f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[3] = from[12]; 1521f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[4] = from[1]; 1522f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[5] = from[5]; 1523f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[6] = from[9]; 1524f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[7] = from[13]; 1525f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[8] = from[2]; 1526f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[9] = from[6]; 1527f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[10] = from[10]; 1528f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[11] = from[14]; 1529f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[12] = from[3]; 1530f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[13] = from[7]; 1531f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[14] = from[11]; 1532f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[15] = from[15]; 1533f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1534f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1535f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1536f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Transpose a GLdouble matrix. 1537f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1538f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param to destination array. 1539f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param from source array. 1540f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1541f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1542f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_transposed( GLdouble to[16], const GLdouble from[16] ) 1543f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1544f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[0] = from[0]; 1545f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[1] = from[4]; 1546f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[2] = from[8]; 1547f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[3] = from[12]; 1548f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[4] = from[1]; 1549f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[5] = from[5]; 1550f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[6] = from[9]; 1551f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[7] = from[13]; 1552f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[8] = from[2]; 1553f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[9] = from[6]; 1554f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[10] = from[10]; 1555f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[11] = from[14]; 1556f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[12] = from[3]; 1557f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[13] = from[7]; 1558f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[14] = from[11]; 1559f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[15] = from[15]; 1560f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1561f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1562f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1563f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Transpose a GLdouble matrix and convert to GLfloat. 1564f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * 1565f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param to destination array. 1566f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * \param from source array. 1567f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1568f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1569f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_math_transposefd( GLfloat to[16], const GLdouble from[16] ) 1570f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1571f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[0] = (GLfloat) from[0]; 1572f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[1] = (GLfloat) from[4]; 1573f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[2] = (GLfloat) from[8]; 1574f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[3] = (GLfloat) from[12]; 1575f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[4] = (GLfloat) from[1]; 1576f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[5] = (GLfloat) from[5]; 1577f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[6] = (GLfloat) from[9]; 1578f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[7] = (GLfloat) from[13]; 1579f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[8] = (GLfloat) from[2]; 1580f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[9] = (GLfloat) from[6]; 1581f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[10] = (GLfloat) from[10]; 1582f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[11] = (GLfloat) from[14]; 1583f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[12] = (GLfloat) from[3]; 1584f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[13] = (GLfloat) from[7]; 1585f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[14] = (GLfloat) from[11]; 1586f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org to[15] = (GLfloat) from[15]; 1587f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1588f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1589f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/*@}*/ 1590f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1591f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org 1592f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org/** 1593f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Transform a 4-element row vector (1x4 matrix) by a 4x4 matrix. This 1594f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * function is used for transforming clipping plane equations and spotlight 1595f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * directions. 1596f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Mathematically, u = v * m. 1597f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Input: v - input vector 1598f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * m - transformation matrix 1599f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org * Output: u - transformed vector 1600f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org */ 1601f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.orgvoid 1602f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org_mesa_transform_vector( GLfloat u[4], const GLfloat v[4], const GLfloat m[16] ) 1603f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org{ 1604f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org const GLfloat v0 = v[0], v1 = v[1], v2 = v[2], v3 = v[3]; 1605f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#define M(row,col) m[row + col*4] 1606f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org u[0] = v0 * M(0,0) + v1 * M(1,0) + v2 * M(2,0) + v3 * M(3,0); 1607f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org u[1] = v0 * M(0,1) + v1 * M(1,1) + v2 * M(2,1) + v3 * M(3,1); 1608f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org u[2] = v0 * M(0,2) + v1 * M(1,2) + v2 * M(2,2) + v3 * M(3,2); 1609f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org u[3] = v0 * M(0,3) + v1 * M(1,3) + v2 * M(2,3) + v3 * M(3,3); 1610f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org#undef M 1611f2ba7591b1407a7ee9209f842c50696914dc2dedkbr@chromium.org} 1612