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1 /*
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2 Open Asset Import Library (assimp)
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3 ----------------------------------------------------------------------
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4
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5 Copyright (c) 2006-2012, assimp team
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6 All rights reserved.
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7
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8 Redistribution and use of this software in source and binary forms,
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9 with or without modification, are permitted provided that the
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10 following conditions are met:
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11
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12 * Redistributions of source code must retain the above
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13 copyright notice, this list of conditions and the
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14 following disclaimer.
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15
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16 * Redistributions in binary form must reproduce the above
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17 copyright notice, this list of conditions and the
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18 following disclaimer in the documentation and/or other
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19 materials provided with the distribution.
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20
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21 * Neither the name of the assimp team, nor the names of its
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22 contributors may be used to endorse or promote products
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23 derived from this software without specific prior
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24 written permission of the assimp team.
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25
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26 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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27 "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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28 LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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29 A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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30 OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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31 SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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32 LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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33 DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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34 THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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35 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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36 OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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37
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38 ----------------------------------------------------------------------
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39 */
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40
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41 /** @file quaternion.h
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42 * @brief Quaternion structure, including operators when compiling in C++
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43 */
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44 #ifndef AI_QUATERNION_H_INC
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45 #define AI_QUATERNION_H_INC
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46
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47 #ifdef __cplusplus
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48
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49 template <typename TReal> class aiVector3t;
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50 template <typename TReal> class aiMatrix3x3t;
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51
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52 // ---------------------------------------------------------------------------
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53 /** Represents a quaternion in a 4D vector. */
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54 template <typename TReal>
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55 class aiQuaterniont
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56 {
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57 public:
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58 aiQuaterniont() : w(), x(), y(), z() {}
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59 aiQuaterniont(TReal pw, TReal px, TReal py, TReal pz)
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60 : w(pw), x(px), y(py), z(pz) {}
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61
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62 /** Construct from rotation matrix. Result is undefined if the matrix is not orthonormal. */
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63 aiQuaterniont( const aiMatrix3x3t<TReal>& pRotMatrix);
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64
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65 /** Construct from euler angles */
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66 aiQuaterniont( TReal rotx, TReal roty, TReal rotz);
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67
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68 /** Construct from an axis-angle pair */
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69 aiQuaterniont( aiVector3t<TReal> axis, TReal angle);
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70
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71 /** Construct from a normalized quaternion stored in a vec3 */
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72 aiQuaterniont( aiVector3t<TReal> normalized);
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73
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74 /** Returns a matrix representation of the quaternion */
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75 aiMatrix3x3t<TReal> GetMatrix() const;
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76
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77 public:
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78
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79 bool operator== (const aiQuaterniont& o) const;
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80 bool operator!= (const aiQuaterniont& o) const;
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81
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82 public:
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83
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84 /** Normalize the quaternion */
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85 aiQuaterniont& Normalize();
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86
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87 /** Compute quaternion conjugate */
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88 aiQuaterniont& Conjugate ();
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89
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90 /** Rotate a point by this quaternion */
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91 aiVector3t<TReal> Rotate (const aiVector3t<TReal>& in);
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92
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93 /** Multiply two quaternions */
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94 aiQuaterniont operator* (const aiQuaterniont& two) const;
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95
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96 public:
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97
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98 /** Performs a spherical interpolation between two quaternions and writes the result into the third.
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99 * @param pOut Target object to received the interpolated rotation.
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100 * @param pStart Start rotation of the interpolation at factor == 0.
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101 * @param pEnd End rotation, factor == 1.
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102 * @param pFactor Interpolation factor between 0 and 1. Values outside of this range yield undefined results.
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103 */
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104 static void Interpolate( aiQuaterniont& pOut, const aiQuaterniont& pStart,
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105 const aiQuaterniont& pEnd, TReal pFactor);
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106
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107 public:
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108
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109 //! w,x,y,z components of the quaternion
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110 TReal w, x, y, z;
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111 } ;
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112
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113 typedef aiQuaterniont<float> aiQuaternion;
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114
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115 #else
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116
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117 struct aiQuaternion {
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118 float w, x, y, z;
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119 };
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120
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121 #endif
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122
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123
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124 #endif // AI_QUATERNION_H_INC
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