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1 /*
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2 libvmath - a vector math library
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3 Copyright (C) 2004-2011 John Tsiombikas <nuclear@member.fsf.org>
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4
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5 This program is free software: you can redistribute it and/or modify
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6 it under the terms of the GNU Lesser General Public License as published
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7 by the Free Software Foundation, either version 3 of the License, or
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8 (at your option) any later version.
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9
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10 This program is distributed in the hope that it will be useful,
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11 but WITHOUT ANY WARRANTY; without even the implied warranty of
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12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 GNU Lesser General Public License for more details.
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14
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15 You should have received a copy of the GNU Lesser General Public License
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16 along with this program. If not, see <http://www.gnu.org/licenses/>.
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17 */
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18
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19 #ifndef VMATH_QUATERNION_H_
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20 #define VMATH_QUATERNION_H_
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21
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22 #include <stdio.h>
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23 #include "vmath_types.h"
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24 #include "vector.h"
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25
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26 #ifdef __cplusplus
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27 extern "C" {
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28 #endif /* __cplusplus */
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29
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30 #define quat_cons(s, x, y, z) v4_cons(x, y, z, s)
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31 #define quat_vec(q) v3_cons((q).x, (q).y, (q).z)
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32 #define quat_s(q) ((q).w)
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33 #define quat_identity() quat_cons(1.0, 0.0, 0.0, 0.0)
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34 void quat_print(FILE *fp, quat_t q);
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35
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36 #define quat_add v4_add
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37 #define quat_sub v4_sub
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38 #define quat_neg v4_neg
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39
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40 static VMATH_INLINE quat_t quat_mul(quat_t q1, quat_t q2);
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41
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42 static VMATH_INLINE quat_t quat_conjugate(quat_t q);
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43
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44 #define quat_length v4_length
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45 #define quat_length_sq v4_length_sq
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46
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47 #define quat_normalize v4_normalize
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48 static VMATH_INLINE quat_t quat_inverse(quat_t q);
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49
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50 quat_t quat_rotate(quat_t q, scalar_t angle, scalar_t x, scalar_t y, scalar_t z);
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51 quat_t quat_rotate_quat(quat_t q, quat_t rotq);
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52
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53 static VMATH_INLINE void quat_to_mat3(mat3_t res, quat_t q);
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54 static VMATH_INLINE void quat_to_mat4(mat4_t res, quat_t q);
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55
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56 #define quat_lerp quat_slerp
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57 quat_t quat_slerp(quat_t q1, quat_t q2, scalar_t t);
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58
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59
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60 #ifdef __cplusplus
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61 } /* extern "C" */
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62
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63 #include <iostream>
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64
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65 /* Quaternion */
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66 class Quaternion {
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67 public:
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68 scalar_t s;
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69 Vector3 v;
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70
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71 Quaternion();
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72 Quaternion(scalar_t s, const Vector3 &v);
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73 Quaternion(scalar_t s, scalar_t x, scalar_t y, scalar_t z);
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74 Quaternion(const Vector3 &axis, scalar_t angle);
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75 Quaternion(const quat_t &quat);
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76
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77 Quaternion operator +(const Quaternion &quat) const;
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78 Quaternion operator -(const Quaternion &quat) const;
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79 Quaternion operator -() const;
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80 Quaternion operator *(const Quaternion &quat) const;
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81
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82 void operator +=(const Quaternion &quat);
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83 void operator -=(const Quaternion &quat);
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84 void operator *=(const Quaternion &quat);
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85
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86 void reset_identity();
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87
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88 Quaternion conjugate() const;
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89
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90 scalar_t length() const;
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91 scalar_t length_sq() const;
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92
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93 void normalize();
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94 Quaternion normalized() const;
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95
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96 Quaternion inverse() const;
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97
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98 void set_rotation(const Vector3 &axis, scalar_t angle);
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99 void rotate(const Vector3 &axis, scalar_t angle);
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100 /* note: this is a totally different operation from the above
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101 * this treats the quaternion as signifying direction and rotates
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102 * it by a rotation quaternion by rot * q * rot'
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103 */
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104 void rotate(const Quaternion &q);
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105
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106 Matrix3x3 get_rotation_matrix() const;
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107 };
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108
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109 Quaternion slerp(const Quaternion &q1, const Quaternion &q2, scalar_t t);
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110 VMATH_INLINE Quaternion lerp(const Quaternion &q1, const Quaternion &q2, scalar_t t);
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111
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112 std::ostream &operator <<(std::ostream &out, const Quaternion &q);
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113
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114 #endif /* __cplusplus */
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115
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116 #include "quat.inl"
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117
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118 #endif /* VMATH_QUATERNION_H_ */
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