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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) 2006-2012, assimp team
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7
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8 All rights reserved.
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9
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10 Redistribution and use of this software in source and binary forms,
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11 with or without modification, are permitted provided that the following
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12 conditions are met:
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13
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14 * Redistributions of source code must retain the above
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15 copyright notice, this list of conditions and the
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16 following disclaimer.
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17
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18 * Redistributions in binary form must reproduce the above
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19 copyright notice, this list of conditions and the
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20 following disclaimer in the documentation and/or other
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21 materials provided with the distribution.
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22
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23 * Neither the name of the assimp team, nor the names of its
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24 contributors may be used to endorse or promote products
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25 derived from this software without specific prior
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26 written permission of the assimp team.
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27
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28 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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29 "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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30 LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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31 A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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32 OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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33 SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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34 LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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35 DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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36 THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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37 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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38 OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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39 ---------------------------------------------------------------------------
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40 */
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41
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42 /** @file matrix3x3.h
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43 * @brief Definition of a 3x3 matrix, including operators when compiling in C++
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44 */
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45 #ifndef AI_MATRIX3x3_H_INC
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46 #define AI_MATRIX3x3_H_INC
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47
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48 #include "./Compiler/pushpack1.h"
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49
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50 #ifdef __cplusplus
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51
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52 template <typename T> class aiMatrix4x4t;
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53 template <typename T> class aiVector2t;
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54
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55 // ---------------------------------------------------------------------------
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56 /** @brief Represents a row-major 3x3 matrix
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57 *
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58 * There's much confusion about matrix layouts (column vs. row order).
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59 * This is *always* a row-major matrix. Not even with the
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60 * #aiProcess_ConvertToLeftHanded flag, which absolutely does not affect
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61 * matrix order - it just affects the handedness of the coordinate system
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62 * defined thereby.
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63 */
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64 template <typename TReal>
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65 class aiMatrix3x3t
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66 {
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67 public:
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68
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69 aiMatrix3x3t () :
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70 a1(static_cast<TReal>(1.0f)), a2(), a3(),
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71 b1(), b2(static_cast<TReal>(1.0f)), b3(),
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72 c1(), c2(), c3(static_cast<TReal>(1.0f)) {}
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73
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74 aiMatrix3x3t ( TReal _a1, TReal _a2, TReal _a3,
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75 TReal _b1, TReal _b2, TReal _b3,
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76 TReal _c1, TReal _c2, TReal _c3) :
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77 a1(_a1), a2(_a2), a3(_a3),
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78 b1(_b1), b2(_b2), b3(_b3),
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79 c1(_c1), c2(_c2), c3(_c3)
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80 {}
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81
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82 public:
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83
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84 // matrix multiplication.
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85 aiMatrix3x3t& operator *= (const aiMatrix3x3t& m);
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86 aiMatrix3x3t operator * (const aiMatrix3x3t& m) const;
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87
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88 // array access operators
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89 TReal* operator[] (unsigned int p_iIndex);
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90 const TReal* operator[] (unsigned int p_iIndex) const;
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91
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92 // comparison operators
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93 bool operator== (const aiMatrix4x4t<TReal> m) const;
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94 bool operator!= (const aiMatrix4x4t<TReal> m) const;
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95
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96 template <typename TOther>
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97 operator aiMatrix3x3t<TOther> () const;
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98
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99 public:
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100
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101 // -------------------------------------------------------------------
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102 /** @brief Construction from a 4x4 matrix. The remaining parts
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103 * of the matrix are ignored.
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104 */
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105 explicit aiMatrix3x3t( const aiMatrix4x4t<TReal>& pMatrix);
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106
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107 // -------------------------------------------------------------------
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108 /** @brief Transpose the matrix
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109 */
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110 aiMatrix3x3t& Transpose();
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111
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112 // -------------------------------------------------------------------
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113 /** @brief Invert the matrix.
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114 * If the matrix is not invertible all elements are set to qnan.
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115 * Beware, use (f != f) to check whether a TReal f is qnan.
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116 */
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117 aiMatrix3x3t& Inverse();
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118 TReal Determinant() const;
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119
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120 public:
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121 // -------------------------------------------------------------------
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122 /** @brief Returns a rotation matrix for a rotation around z
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123 * @param a Rotation angle, in radians
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124 * @param out Receives the output matrix
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125 * @return Reference to the output matrix
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126 */
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127 static aiMatrix3x3t& RotationZ(TReal a, aiMatrix3x3t& out);
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128
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129 // -------------------------------------------------------------------
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130 /** @brief Returns a rotation matrix for a rotation around
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131 * an arbitrary axis.
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132 *
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133 * @param a Rotation angle, in radians
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134 * @param axis Axis to rotate around
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135 * @param out To be filled
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136 */
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137 static aiMatrix3x3t& Rotation( TReal a,
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138 const aiVector3t<TReal>& axis, aiMatrix3x3t& out);
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139
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140 // -------------------------------------------------------------------
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141 /** @brief Returns a translation matrix
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142 * @param v Translation vector
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143 * @param out Receives the output matrix
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144 * @return Reference to the output matrix
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145 */
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146 static aiMatrix3x3t& Translation( const aiVector2t<TReal>& v, aiMatrix3x3t& out);
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147
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148 // -------------------------------------------------------------------
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149 /** @brief A function for creating a rotation matrix that rotates a
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150 * vector called "from" into another vector called "to".
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151 * Input : from[3], to[3] which both must be *normalized* non-zero vectors
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152 * Output: mtx[3][3] -- a 3x3 matrix in colum-major form
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153 * Authors: Tomas Möller, John Hughes
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154 * "Efficiently Building a Matrix to Rotate One Vector to Another"
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155 * Journal of Graphics Tools, 4(4):1-4, 1999
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156 */
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157 static aiMatrix3x3t& FromToMatrix(const aiVector3t<TReal>& from,
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158 const aiVector3t<TReal>& to, aiMatrix3x3t& out);
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159
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160 public:
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161
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162
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163 TReal a1, a2, a3;
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164 TReal b1, b2, b3;
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165 TReal c1, c2, c3;
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166 } PACK_STRUCT;
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167
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168 typedef aiMatrix3x3t<float> aiMatrix3x3;
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169
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170 #else
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171
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172 struct aiMatrix3x3 {
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173
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174 float a1, a2, a3;
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175 float b1, b2, b3;
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176 float c1, c2, c3;
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177 } PACK_STRUCT;
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178
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179 #endif
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180
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181 #include "./Compiler/poppack1.h"
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182
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183 #endif // AI_MATRIX3x3_H_INC
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