1 | /*
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2 | Copyright (C) 2005-2006 Feeling Software Inc.
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3 | MIT License: http://www.opensource.org/licenses/mit-license.php
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4 | */
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5 |
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6 | /**
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7 | @file FMMatrix33.h
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8 | The file containing the class and global functions for 3x3 matrices.
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9 | */
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10 |
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11 | #ifndef _FM_MATRIX33_H_
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12 | #define _FM_MATRIX33_H_
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13 |
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14 | /**
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15 | A 3x3 matrix: use to represent 2D transformations.
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16 | Not used within FCollada.
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17 |
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18 | @ingroup FMath
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19 | */
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20 | class FCOLLADA_EXPORT FMMatrix33
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21 | {
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22 | public:
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23 | float m[3][3]; /**< The matrix elements stored in a 2D array. */
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24 |
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25 | /**
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26 | * Creates a FMMatrix33 from the \c float array.
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27 | *
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28 | * The float array stores the elements in the following order: m[0][0],
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29 | * m[1][0], m[2][0], m[0][1], m[1][1], m[2][1], m[0][2], m[1][2], m[2][2].
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30 | *
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31 | * @param _m The \c float array to create the matrix from.
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32 | */
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33 | FMMatrix33(float* _m);
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34 |
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35 | /**
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36 | * Creates an empty FMMatrix33.
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37 | *
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38 | * The default values are non deterministic.
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39 | */
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40 | #ifndef _DEBUG
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41 | FMMatrix33() {}
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42 | #else
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43 | FMMatrix33() { memset(m, 55, 3 * 3 * sizeof(float)); }
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44 | #endif
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45 |
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46 | /**
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47 | * Get this FMMatrix33 as an array of \c floats.
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48 | *
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49 | * The array contains the elements in the following order: m[0][0],
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50 | * m[0][1], m[0][2], m[1][0], m[1][1], m[1][2], m[2][0], m[2][1], m[2][2].
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51 | *
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52 | * @return The \c float array.
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53 | */
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54 | operator float*() { return &m[0][0]; }
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55 |
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56 | /**
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57 | * Get this FMMatrix as an array of \c floats.
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58 | *
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59 | * The array contains the elements in the following order: m[0][0],
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60 | * m[0][1], m[0][2], m[1][0], m[1][1], m[1][2], m[2][0], m[2][1], m[2][2].
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61 | *
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62 | * @return The \c float array.
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63 | */
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64 | operator const float*() const { return &m[0][0]; }
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65 |
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66 | /**
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67 | * Get a specified row of FMMatrix33 as an array of \c floats.
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68 | *
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69 | * @param a The row index, starting at 0, of the row to get.
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70 | * @return The \c float array of the elements in the specified row.
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71 | */
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72 | float* operator[](int a) { return m[a]; }
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73 |
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74 | /**
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75 | * Assign this FMMatrix33's elements to be the same as that of the given
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76 | * FMMatrix33.
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77 | *
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78 | * @param copy The FMMatrix to copy elements from.
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79 | * @return This FMMatrix.
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80 | */
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81 | FMMatrix33& operator=(const FMMatrix33& copy);
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82 |
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83 | /**
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84 | * Gets the transposed of this FMMatrix33.
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85 | *
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86 | * @return The transposed of this FMMatrix.
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87 | */
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88 | FMMatrix33 Transposed() const;
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89 |
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90 | /**
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91 | * Gets the inversion of this FMMatrix33.
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92 | *
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93 | * @return The inversion of this FMMatrix.
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94 | */
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95 | FMMatrix33 Inverted() const;
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96 |
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97 | public:
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98 | static FMMatrix33 identity; /**< The identity FMMatrix33. */
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99 |
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100 | /**
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101 | * Gets the FMMatrix33 representation of a 2D counter-clockwise rotation
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102 | * about the z-axis.
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103 | *
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104 | * @param angle The angle of rotation in radians.
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105 | * @return The rotation FMMatrix.
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106 | */
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107 | static FMMatrix33 RotationMatrix(float angle);
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108 |
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109 | /**
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110 | * Gets the FMMatrix33 representation of a 2D translation.
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111 | *
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112 | * @param tx The translation in the x direction.
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113 | * @param ty The translation in the y direction.
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114 | * @return The translation FMMatrix.
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115 | */
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116 | static FMMatrix33 TranslationMatrix(float tx, float ty);
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117 |
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118 | /**
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119 | * Gets the FMMatrix33 representation of a 2D scale.
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120 | *
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121 | * @param sx The scale factor in the x direction.
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122 | * @param sy The scale factor in the y direction.
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123 | * @return The scale FMMatrix.
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124 | */
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125 | static FMMatrix33 ScaleMatrix(float sx, float sy);
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126 |
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127 | /**
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128 | * Gets the FMMatrix33 representation of a 2D translation.
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129 | *
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130 | * The translation in the x direction is the \a u componenet of the given
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131 | * FMVector2 and the translation in the y direction is the \a v component.
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132 | *
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133 | * @param translation The FMVector2 to get the translation components from.
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134 | * @return The translation FMMatrix33.
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135 | */
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136 | static inline FMMatrix33 TranslationMatrix(FMVector2 translation) { return TranslationMatrix(translation.u, translation.v); }
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137 |
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138 | /**
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139 | * Gets the FMMatrix33 representation of a 2D scale.
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140 | *
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141 | * The scale in the x direction is the \a u componenet of the given
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142 | * FMVector and the scale in the y direction is the \a v component.
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143 | *
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144 | * @param scale The FMVector2 to get the scale components from.
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145 | * @return The scale FMMatrix33.
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146 | */
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147 | static inline FMMatrix33 ScaleMatrix(FMVector2 scale) { return ScaleMatrix(scale.u, scale.v); }
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148 | };
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149 |
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150 | /**
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151 | * Matrix multiplication with two FMMatrix33.
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152 | *
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153 | * @param m1 The first matrix.
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154 | * @param m2 The second matrix.
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155 | * @return The FMMatrix44 representation of the resulting matrix.
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156 | */
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157 | FMMatrix33 FCOLLADA_EXPORT operator*(const FMMatrix33& m1, const FMMatrix33& m2);
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158 |
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159 | #endif // _FM_MATRIX33_H_
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