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1 /*------------------------------------------------------------------------ |
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2 * |
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3 * OpenVG 1.1 Reference Implementation |
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4 * ----------------------------------- |
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5 * |
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6 * Copyright (c) 2007 The Khronos Group Inc. |
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7 * Portions copyright (c) 2010 Nokia Corporation and/or its subsidiary(-ies). |
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8 * |
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9 * Permission is hereby granted, free of charge, to any person obtaining a |
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10 * copy of this software and /or associated documentation files |
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11 * (the "Materials "), to deal in the Materials without restriction, |
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12 * including without limitation the rights to use, copy, modify, merge, |
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13 * publish, distribute, sublicense, and/or sell copies of the Materials, |
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14 * and to permit persons to whom the Materials are furnished to do so, |
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15 * subject to the following conditions: |
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16 * |
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17 * The above copyright notice and this permission notice shall be included |
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18 * in all copies or substantial portions of the Materials. |
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19 * |
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20 * THE MATERIALS ARE PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
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21 * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF |
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22 * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. |
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23 * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, |
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24 * DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR |
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25 * OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE MATERIALS OR |
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26 * THE USE OR OTHER DEALINGS IN THE MATERIALS. |
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27 * |
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28 *//** |
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29 * \file |
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30 * \brief Implementation of non-inline matrix functions. |
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31 * \note |
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32 *//*-------------------------------------------------------------------*/ |
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33 |
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34 #include "riDefs.h" |
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35 #include "riMath.h" |
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36 |
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37 #if 0 |
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38 #include <stdio.h> |
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39 |
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40 static void printMatrix(const Matrix3x3& m) |
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41 { |
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42 // For tracing a bug in matrix inverse in release-builds. |
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43 for(int i = 0; i < 3; i++) |
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44 { |
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45 printf("[%.4f %.4f %.4f]\n", m[i][0], m[i][1], m[i][2]); |
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46 } |
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47 } |
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48 |
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49 #endif |
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50 |
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51 namespace OpenVGRI |
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52 { |
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53 |
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54 /*-------------------------------------------------------------------*//*! |
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55 * \brief Inverts a 3x3 matrix. Returns false if the matrix is singular. |
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56 * \param |
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57 * \return |
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58 * \note |
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59 *//*-------------------------------------------------------------------*/ |
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60 |
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61 bool Matrix3x3::invert() |
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62 { |
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63 // \todo Save computation on affine matrices? |
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64 bool affine = isAffine(); |
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65 RIfloat det00 = matrix[1][1]*matrix[2][2] - matrix[2][1]*matrix[1][2]; |
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66 RIfloat det01 = matrix[2][0]*matrix[1][2] - matrix[1][0]*matrix[2][2]; |
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67 RIfloat det02 = matrix[1][0]*matrix[2][1] - matrix[2][0]*matrix[1][1]; |
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68 |
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69 RIfloat d = matrix[0][0]*det00 + matrix[0][1]*det01 + matrix[0][2]*det02; |
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70 if( d == 0.0f ) return false; //singular, leave the matrix unmodified and return false |
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71 d = 1.0f / d; |
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72 |
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73 Matrix3x3 t; |
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74 |
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75 // \note There is some bug (in GCC?) in accessing matrix elements: If data |
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76 // is accessed like: t[i][j], then the following will produce incorrect |
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77 // resulst on optimized builds. If the data is accessed through t.matrix, |
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78 // then the output is correct. Debug build works correctly, and if print |
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79 // calls are inserted, the code also works correctly. The context to get |
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80 // this bug appear are fill paints (linear and radial gradient test |
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81 // functions). |
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82 |
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83 t.matrix[0][0] = d * det00; |
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84 t.matrix[1][0] = d * det01; |
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85 t.matrix[2][0] = d * det02; |
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86 //printf("t\n"); |
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87 //printMatrix(t); |
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88 t.matrix[0][1] = d * (matrix[2][1]*matrix[0][2] - matrix[0][1]*matrix[2][2]); |
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89 t.matrix[1][1] = d * (matrix[0][0]*matrix[2][2] - matrix[2][0]*matrix[0][2]); |
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90 t.matrix[2][1] = d * (matrix[2][0]*matrix[0][1] - matrix[0][0]*matrix[2][1]); |
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91 t.matrix[0][2] = d * (matrix[0][1]*matrix[1][2] - matrix[1][1]*matrix[0][2]); |
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92 t.matrix[1][2] = d * (matrix[1][0]*matrix[0][2] - matrix[0][0]*matrix[1][2]); |
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93 t.matrix[2][2] = d * (matrix[0][0]*matrix[1][1] - matrix[1][0]*matrix[0][1]); |
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94 if(affine) |
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95 t[2].set(0,0,1); //affine matrix stays affine |
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96 *this = t; |
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97 return true; |
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98 } |
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99 |
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100 //============================================================================================== |
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101 |
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102 } //namespace OpenVGRI |