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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) 2006-2018, assimp team
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6
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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
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12 following 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
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43 /** @file quaternion.h
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44 * @brief Quaternion structure, including operators when compiling in C++
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45 */
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46 #pragma once
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47 #ifndef AI_QUATERNION_H_INC
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48 #define AI_QUATERNION_H_INC
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49
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50 #ifdef __cplusplus
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51
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52 #include "defs.h"
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53
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54 template <typename TReal> class aiVector3t;
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55 template <typename TReal> class aiMatrix3x3t;
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56
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57 // ---------------------------------------------------------------------------
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58 /** Represents a quaternion in a 4D vector. */
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59 template <typename TReal>
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60 class aiQuaterniont
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61 {
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62 public:
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63 aiQuaterniont() AI_NO_EXCEPT : w(1.0), x(), y(), z() {}
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64 aiQuaterniont(TReal pw, TReal px, TReal py, TReal pz)
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65 : w(pw), x(px), y(py), z(pz) {}
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66
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67 /** Construct from rotation matrix. Result is undefined if the matrix is not orthonormal. */
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68 explicit aiQuaterniont( const aiMatrix3x3t<TReal>& pRotMatrix);
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69
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70 /** Construct from euler angles */
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71 aiQuaterniont( TReal rotx, TReal roty, TReal rotz);
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72
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73 /** Construct from an axis-angle pair */
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74 aiQuaterniont( aiVector3t<TReal> axis, TReal angle);
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75
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76 /** Construct from a normalized quaternion stored in a vec3 */
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77 explicit aiQuaterniont( aiVector3t<TReal> normalized);
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78
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79 /** Returns a matrix representation of the quaternion */
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80 aiMatrix3x3t<TReal> GetMatrix() const;
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81
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82 public:
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83
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84 bool operator== (const aiQuaterniont& o) const;
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85 bool operator!= (const aiQuaterniont& o) const;
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86
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87 bool Equal(const aiQuaterniont& o, TReal epsilon = 1e-6) const;
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88
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89 public:
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90
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91 /** Normalize the quaternion */
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92 aiQuaterniont& Normalize();
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93
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94 /** Compute quaternion conjugate */
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95 aiQuaterniont& Conjugate ();
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96
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97 /** Rotate a point by this quaternion */
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98 aiVector3t<TReal> Rotate (const aiVector3t<TReal>& in);
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99
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100 /** Multiply two quaternions */
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101 aiQuaterniont operator* (const aiQuaterniont& two) const;
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102
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103 public:
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104
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105 /** Performs a spherical interpolation between two quaternions and writes the result into the third.
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106 * @param pOut Target object to received the interpolated rotation.
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107 * @param pStart Start rotation of the interpolation at factor == 0.
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108 * @param pEnd End rotation, factor == 1.
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109 * @param pFactor Interpolation factor between 0 and 1. Values outside of this range yield undefined results.
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110 */
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111 static void Interpolate( aiQuaterniont& pOut, const aiQuaterniont& pStart,
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112 const aiQuaterniont& pEnd, TReal pFactor);
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113
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114 public:
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115
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116 //! w,x,y,z components of the quaternion
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117 TReal w, x, y, z;
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118 } ;
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119
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120 typedef aiQuaterniont<ai_real> aiQuaternion;
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121
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122 #else
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123
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124 struct aiQuaternion {
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125 ai_real w, x, y, z;
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126 };
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127
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128 #endif
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129
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130 #endif // AI_QUATERNION_H_INC
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