source: GTP/trunk/App/Demos/Geom/OgreStuff/include/OgreQuaternion.h @ 1092

Revision 1092, 7.7 KB checked in by gumbau, 18 years ago (diff)

LodStrips? and LODTrees demos

Line 
1/*
2-----------------------------------------------------------------------------
3This source file is part of OGRE
4    (Object-oriented Graphics Rendering Engine)
5For the latest info, see http://www.ogre3d.org/
6
7Copyright (c) 2000-2005 The OGRE Team
8Also see acknowledgements in Readme.html
9
10This program is free software; you can redistribute it and/or modify it under
11the terms of the GNU Lesser General Public License as published by the Free Software
12Foundation; either version 2 of the License, or (at your option) any later
13version.
14
15This program is distributed in the hope that it will be useful, but WITHOUT
16ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
17FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details.
18
19You should have received a copy of the GNU Lesser General Public License along with
20this program; if not, write to the Free Software Foundation, Inc., 59 Temple
21Place - Suite 330, Boston, MA 02111-1307, USA, or go to
22http://www.gnu.org/copyleft/lesser.txt.
23-----------------------------------------------------------------------------
24*/
25// NOTE THAT THIS FILE IS BASED ON MATERIAL FROM:
26
27// Magic Software, Inc.
28// http://www.magic-software.com
29// Copyright (c) 2000, All Rights Reserved
30//
31// Source code from Magic Software is supplied under the terms of a license
32// agreement and may not be copied or disclosed except in accordance with the
33// terms of that agreement.  The various license agreements may be found at
34// the Magic Software web site.  This file is subject to the license
35//
36// FREE SOURCE CODE
37// http://www.magic-software.com/License/free.pdf
38
39#ifndef __Quaternion_H__
40#define __Quaternion_H__
41
42#include "OgrePrerequisites.h"
43#include "OgreMath.h"
44
45namespace Ogre {
46
47    /** Implementation of a Quaternion, i.e. a rotation around an axis.
48    */
49    class _OgreExport Quaternion
50    {
51    public:
52        inline Quaternion (
53            Real fW = 1.0,
54            Real fX = 0.0, Real fY = 0.0, Real fZ = 0.0)
55                {
56                        w = fW;
57                        x = fX;
58                        y = fY;
59                        z = fZ;
60                }
61        inline Quaternion (const Quaternion& rkQ)
62                {
63                        w = rkQ.w;
64                        x = rkQ.x;
65                        y = rkQ.y;
66                        z = rkQ.z;
67                }
68        /// Construct a quaternion from a rotation matrix
69        inline Quaternion(const Matrix3& rot)
70        {
71            this->FromRotationMatrix(rot);
72        }
73        /// Construct a quaternion from an angle/axis
74        inline Quaternion(const Radian& rfAngle, const Vector3& rkAxis)
75        {
76            this->FromAngleAxis(rfAngle, rkAxis);
77        }
78#ifndef OGRE_FORCE_ANGLE_TYPES
79        inline Quaternion(const Real& rfAngle, const Vector3& rkAxis)
80                {
81                        this->FromAngleAxis(rfAngle, rkAxis);
82                }
83#endif//OGRE_FORCE_ANGLE_TYPES
84        /// Construct a quaternion from 3 orthonormal local axes
85        inline Quaternion(const Vector3& xaxis, const Vector3& yaxis, const Vector3& zaxis)
86        {
87            this->FromAxes(xaxis, yaxis, zaxis);
88        }
89        /// Construct a quaternion from 3 orthonormal local axes
90        inline Quaternion(const Vector3* akAxis)
91        {
92            this->FromAxes(akAxis);
93        }
94
95        void FromRotationMatrix (const Matrix3& kRot);
96        void ToRotationMatrix (Matrix3& kRot) const;
97        void FromAngleAxis (const Radian& rfAngle, const Vector3& rkAxis);
98        void ToAngleAxis (Radian& rfAngle, Vector3& rkAxis) const;
99        inline void ToAngleAxis (Degree& dAngle, Vector3& rkAxis) const {
100            Radian rAngle;
101            ToAngleAxis ( rAngle, rkAxis );
102            dAngle = rAngle;
103        }
104#ifndef OGRE_FORCE_ANGLE_TYPES
105        inline void FromAngleAxis (const Real& rfAngle, const Vector3& rkAxis) {
106                        FromAngleAxis ( Angle(rfAngle), rkAxis );
107                }
108        inline void ToAngleAxis (Real& rfAngle, Vector3& rkAxis) const {
109                        Radian r;
110                        ToAngleAxis ( r, rkAxis );
111                        rfAngle = r.valueAngleUnits();
112                }
113#endif//OGRE_FORCE_ANGLE_TYPES
114        void FromAxes (const Vector3* akAxis);
115        void FromAxes (const Vector3& xAxis, const Vector3& yAxis, const Vector3& zAxis);
116        void ToAxes (Vector3* akAxis) const;
117        void ToAxes (Vector3& xAxis, Vector3& yAxis, Vector3& zAxis) const;
118        /// Get the local x-axis
119        Vector3 xAxis(void) const;
120        /// Get the local y-axis
121        Vector3 yAxis(void) const;
122        /// Get the local z-axis
123        Vector3 zAxis(void) const;
124
125        inline Quaternion& operator= (const Quaternion& rkQ)
126                {
127                        w = rkQ.w;
128                        x = rkQ.x;
129                        y = rkQ.y;
130                        z = rkQ.z;
131                        return *this;
132                }
133        Quaternion operator+ (const Quaternion& rkQ) const;
134        Quaternion operator- (const Quaternion& rkQ) const;
135        Quaternion operator* (const Quaternion& rkQ) const;
136        Quaternion operator* (Real fScalar) const;
137        _OgreExport friend Quaternion operator* (Real fScalar,
138            const Quaternion& rkQ);
139        Quaternion operator- () const;
140        inline bool operator== (const Quaternion& rhs) const
141                {
142                        return (rhs.x == x) && (rhs.y == y) &&
143                                (rhs.z == z) && (rhs.w == w);
144                }
145        inline bool operator!= (const Quaternion& rhs) const
146                {
147                        return !operator==(rhs);
148                }
149        // functions of a quaternion
150        Real Dot (const Quaternion& rkQ) const;  // dot product
151        Real Norm () const;  // squared-length
152        /// Normalises this quaternion, and returns the previous length
153        Real normalise(void);
154        Quaternion Inverse () const;  // apply to non-zero quaternion
155        Quaternion UnitInverse () const;  // apply to unit-length quaternion
156        Quaternion Exp () const;
157        Quaternion Log () const;
158
159        // rotation of a vector by a quaternion
160        Vector3 operator* (const Vector3& rkVector) const;
161
162                /// Calculate the local roll element of this quaternion
163                Radian getRoll(void) const;
164                /// Calculate the local pitch element of this quaternion
165                Radian getPitch(void) const;
166                /// Calculate the local yaw element of this quaternion
167                Radian getYaw(void) const;             
168                /// Equality with tolerance (tolerance is max angle difference)
169                bool equals(const Quaternion& rhs, const Radian& tolerance) const;
170               
171            // spherical linear interpolation
172        static Quaternion Slerp (Real fT, const Quaternion& rkP,
173            const Quaternion& rkQ, bool shortestPath = false);
174
175        static Quaternion SlerpExtraSpins (Real fT,
176            const Quaternion& rkP, const Quaternion& rkQ,
177            int iExtraSpins);
178
179        // setup for spherical quadratic interpolation
180        static void Intermediate (const Quaternion& rkQ0,
181            const Quaternion& rkQ1, const Quaternion& rkQ2,
182            Quaternion& rka, Quaternion& rkB);
183
184        // spherical quadratic interpolation
185        static Quaternion Squad (Real fT, const Quaternion& rkP,
186            const Quaternion& rkA, const Quaternion& rkB,
187            const Quaternion& rkQ, bool shortestPath = false);
188
189        // normalised linear interpolation - faster but less accurate (non-constant rotation velocity)
190        static Quaternion nlerp(Real fT, const Quaternion& rkP,
191            const Quaternion& rkQ, bool shortestPath = false);
192
193        // cutoff for sine near zero
194        static const Real ms_fEpsilon;
195
196        // special values
197        static const Quaternion ZERO;
198        static const Quaternion IDENTITY;
199
200        Real w, x, y, z;
201
202        /** Function for writing to a stream.
203        */
204        inline _OgreExport friend std::ostream& operator <<
205            ( std::ostream& o, const Quaternion& q )
206        {
207            o << "Quaternion(" << q.x << ", " << q.y << ", " << q.z << ", " << q.w << ")";
208            return o;
209        }
210
211    };
212
213}
214
215
216
217
218#endif
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