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1 /*
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2 ---------------------------------------------------------------------------
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3 Open Asset Import Library (assimp)
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4 ---------------------------------------------------------------------------
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5
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6 Copyright (c) 2006-2018, assimp team
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7
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8
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9
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10 All rights reserved.
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11
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12 Redistribution and use of this software in source and binary forms,
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13 with or without modification, are permitted provided that the following
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14 conditions are met:
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15
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16 * Redistributions of source code must retain the above
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17 copyright notice, this list of conditions and the
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18 following disclaimer.
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19
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20 * Redistributions in binary form must reproduce the above
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21 copyright notice, this list of conditions and the
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22 following disclaimer in the documentation and/or other
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23 materials provided with the distribution.
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24
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25 * Neither the name of the assimp team, nor the names of its
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26 contributors may be used to endorse or promote products
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27 derived from this software without specific prior
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28 written permission of the assimp team.
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29
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30 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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31 "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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32 LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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33 A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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34 OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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35 SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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36 LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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37 DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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38 THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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39 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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40 OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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41 ---------------------------------------------------------------------------
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42 */
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43
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44 /** @file matrix3x3.h
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45 * @brief Definition of a 3x3 matrix, including operators when compiling in C++
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46 */
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47 #pragma once
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48 #ifndef AI_MATRIX3X3_H_INC
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49 #define AI_MATRIX3X3_H_INC
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50
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51 #include "defs.h"
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52
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53 #ifdef __cplusplus
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54
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55 template <typename T> class aiMatrix4x4t;
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56 template <typename T> class aiVector2t;
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57
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58 // ---------------------------------------------------------------------------
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59 /** @brief Represents a row-major 3x3 matrix
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60 *
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61 * There's much confusion about matrix layouts (column vs. row order).
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62 * This is *always* a row-major matrix. Not even with the
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63 * #aiProcess_ConvertToLeftHanded flag, which absolutely does not affect
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64 * matrix order - it just affects the handedness of the coordinate system
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65 * defined thereby.
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66 */
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67 template <typename TReal>
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68 class aiMatrix3x3t
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69 {
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70 public:
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71
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72 aiMatrix3x3t() AI_NO_EXCEPT :
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73 a1(static_cast<TReal>(1.0f)), a2(), a3(),
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74 b1(), b2(static_cast<TReal>(1.0f)), b3(),
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75 c1(), c2(), c3(static_cast<TReal>(1.0f)) {}
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76
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77 aiMatrix3x3t ( TReal _a1, TReal _a2, TReal _a3,
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78 TReal _b1, TReal _b2, TReal _b3,
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79 TReal _c1, TReal _c2, TReal _c3) :
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80 a1(_a1), a2(_a2), a3(_a3),
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81 b1(_b1), b2(_b2), b3(_b3),
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82 c1(_c1), c2(_c2), c3(_c3)
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83 {}
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84
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85 public:
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86
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87 // matrix multiplication.
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88 aiMatrix3x3t& operator *= (const aiMatrix3x3t& m);
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89 aiMatrix3x3t operator * (const aiMatrix3x3t& m) const;
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90
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91 // array access operators
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92 TReal* operator[] (unsigned int p_iIndex);
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93 const TReal* operator[] (unsigned int p_iIndex) const;
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94
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95 // comparison operators
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96 bool operator== (const aiMatrix4x4t<TReal>& m) const;
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97 bool operator!= (const aiMatrix4x4t<TReal>& m) const;
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98
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99 bool Equal(const aiMatrix4x4t<TReal>& m, TReal epsilon = 1e-6) const;
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100
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101 template <typename TOther>
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102 operator aiMatrix3x3t<TOther> () const;
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103
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104 public:
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105
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106 // -------------------------------------------------------------------
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107 /** @brief Construction from a 4x4 matrix. The remaining parts
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108 * of the matrix are ignored.
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109 */
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110 explicit aiMatrix3x3t( const aiMatrix4x4t<TReal>& pMatrix);
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111
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112 // -------------------------------------------------------------------
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113 /** @brief Transpose the matrix
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114 */
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115 aiMatrix3x3t& Transpose();
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116
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117 // -------------------------------------------------------------------
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118 /** @brief Invert the matrix.
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119 * If the matrix is not invertible all elements are set to qnan.
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120 * Beware, use (f != f) to check whether a TReal f is qnan.
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121 */
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122 aiMatrix3x3t& Inverse();
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123 TReal Determinant() const;
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124
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125 public:
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126 // -------------------------------------------------------------------
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127 /** @brief Returns a rotation matrix for a rotation around z
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128 * @param a Rotation angle, in radians
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129 * @param out Receives the output matrix
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130 * @return Reference to the output matrix
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131 */
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132 static aiMatrix3x3t& RotationZ(TReal a, aiMatrix3x3t& out);
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133
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134 // -------------------------------------------------------------------
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135 /** @brief Returns a rotation matrix for a rotation around
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136 * an arbitrary axis.
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137 *
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138 * @param a Rotation angle, in radians
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139 * @param axis Axis to rotate around
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140 * @param out To be filled
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141 */
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142 static aiMatrix3x3t& Rotation( TReal a,
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143 const aiVector3t<TReal>& axis, aiMatrix3x3t& out);
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144
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145 // -------------------------------------------------------------------
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146 /** @brief Returns a translation matrix
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147 * @param v Translation vector
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148 * @param out Receives the output matrix
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149 * @return Reference to the output matrix
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150 */
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151 static aiMatrix3x3t& Translation( const aiVector2t<TReal>& v, aiMatrix3x3t& out);
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152
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153 // -------------------------------------------------------------------
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154 /** @brief A function for creating a rotation matrix that rotates a
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155 * vector called "from" into another vector called "to".
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156 * Input : from[3], to[3] which both must be *normalized* non-zero vectors
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157 * Output: mtx[3][3] -- a 3x3 matrix in column-major form
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158 * Authors: Tomas Möller, John Hughes
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159 * "Efficiently Building a Matrix to Rotate One Vector to Another"
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160 * Journal of Graphics Tools, 4(4):1-4, 1999
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161 */
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162 static aiMatrix3x3t& FromToMatrix(const aiVector3t<TReal>& from,
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163 const aiVector3t<TReal>& to, aiMatrix3x3t& out);
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164
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165 public:
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166 TReal a1, a2, a3;
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167 TReal b1, b2, b3;
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168 TReal c1, c2, c3;
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169 };
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170
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171 typedef aiMatrix3x3t<ai_real> aiMatrix3x3;
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172
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173 #else
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174
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175 struct aiMatrix3x3 {
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176 ai_real a1, a2, a3;
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177 ai_real b1, b2, b3;
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178 ai_real c1, c2, c3;
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179 };
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180
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181 #endif // __cplusplus
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182
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183 #endif // AI_MATRIX3X3_H_INC
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