2 * |
2 * |
3 * OpenVG 1.1 Reference Implementation |
3 * OpenVG 1.1 Reference Implementation |
4 * ----------------------------------- |
4 * ----------------------------------- |
5 * |
5 * |
6 * Copyright (c) 2007 The Khronos Group Inc. |
6 * Copyright (c) 2007 The Khronos Group Inc. |
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7 * Portions Copyright (c) 2010 Nokia Corporation and/or its subsidiary(-ies). |
7 * |
8 * |
8 * Permission is hereby granted, free of charge, to any person obtaining a |
9 * Permission is hereby granted, free of charge, to any person obtaining a |
9 * copy of this software and /or associated documentation files |
10 * copy of this software and /or associated documentation files |
10 * (the "Materials "), to deal in the Materials without restriction, |
11 * (the "Materials "), to deal in the Materials without restriction, |
11 * including without limitation the rights to use, copy, modify, merge, |
12 * including without limitation the rights to use, copy, modify, merge, |
31 *//*-------------------------------------------------------------------*/ |
32 *//*-------------------------------------------------------------------*/ |
32 |
33 |
33 #include "riDefs.h" |
34 #include "riDefs.h" |
34 #include "riMath.h" |
35 #include "riMath.h" |
35 |
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 |
36 namespace OpenVGRI |
51 namespace OpenVGRI |
37 { |
52 { |
38 |
53 |
39 /*-------------------------------------------------------------------*//*! |
54 /*-------------------------------------------------------------------*//*! |
40 * \brief Inverts a 3x3 matrix. Returns false if the matrix is singular. |
55 * \brief Inverts a 3x3 matrix. Returns false if the matrix is singular. |
43 * \note |
58 * \note |
44 *//*-------------------------------------------------------------------*/ |
59 *//*-------------------------------------------------------------------*/ |
45 |
60 |
46 bool Matrix3x3::invert() |
61 bool Matrix3x3::invert() |
47 { |
62 { |
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63 // \todo Save computation on affine matrices? |
48 bool affine = isAffine(); |
64 bool affine = isAffine(); |
49 RIfloat det00 = matrix[1][1]*matrix[2][2] - matrix[2][1]*matrix[1][2]; |
65 RIfloat det00 = matrix[1][1]*matrix[2][2] - matrix[2][1]*matrix[1][2]; |
50 RIfloat det01 = matrix[2][0]*matrix[1][2] - matrix[1][0]*matrix[2][2]; |
66 RIfloat det01 = matrix[2][0]*matrix[1][2] - matrix[1][0]*matrix[2][2]; |
51 RIfloat det02 = matrix[1][0]*matrix[2][1] - matrix[2][0]*matrix[1][1]; |
67 RIfloat det02 = matrix[1][0]*matrix[2][1] - matrix[2][0]*matrix[1][1]; |
52 |
68 |
53 RIfloat d = matrix[0][0]*det00 + matrix[0][1]*det01 + matrix[0][2]*det02; |
69 RIfloat d = matrix[0][0]*det00 + matrix[0][1]*det01 + matrix[0][2]*det02; |
54 if( d == 0.0f ) return false; //singular, leave the matrix unmodified and return false |
70 if( d == 0.0f ) return false; //singular, leave the matrix unmodified and return false |
55 d = 1.0f / d; |
71 d = 1.0f / d; |
56 |
72 |
57 Matrix3x3 t; |
73 Matrix3x3 t; |
58 t[0][0] = d * det00; |
74 |
59 t[1][0] = d * det01; |
75 // \note There is some bug (in GCC?) in accessing matrix elements: If data |
60 t[2][0] = d * det02; |
76 // is accessed like: t[i][j], then the following will produce incorrect |
61 t[0][1] = d * (matrix[2][1]*matrix[0][2] - matrix[0][1]*matrix[2][2]); |
77 // resulst on optimized builds. If the data is accessed through t.matrix, |
62 t[1][1] = d * (matrix[0][0]*matrix[2][2] - matrix[2][0]*matrix[0][2]); |
78 // then the output is correct. Debug build works correctly, and if print |
63 t[2][1] = d * (matrix[2][0]*matrix[0][1] - matrix[0][0]*matrix[2][1]); |
79 // calls are inserted, the code also works correctly. The context to get |
64 t[0][2] = d * (matrix[0][1]*matrix[1][2] - matrix[1][1]*matrix[0][2]); |
80 // this bug appear are fill paints (linear and radial gradient test |
65 t[1][2] = d * (matrix[1][0]*matrix[0][2] - matrix[0][0]*matrix[1][2]); |
81 // functions). |
66 t[2][2] = d * (matrix[0][0]*matrix[1][1] - matrix[1][0]*matrix[0][1]); |
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]); |
67 if(affine) |
94 if(affine) |
68 t[2].set(0,0,1); //affine matrix stays affine |
95 t[2].set(0,0,1); //affine matrix stays affine |
69 *this = t; |
96 *this = t; |
70 return true; |
97 return true; |
71 } |
98 } |