VR-Vantage 3.1.1 API Documentation
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Properties Friends Macros Groups Pages
DtQuat.h
Go to the documentation of this file.
1 /******************************************************************************
2 ** Copyright (c) 2010 MAK Technologies, Inc.
3 ** All rights reserved.
4 ******************************************************************************/
5 
9 
10 #pragma once
11 #include <vrvUtil/vrvUtil.h>
12 
13 #include <matrix/vlVector.h>
14 
15 namespace makVrv
16 {
19  class DtQuat
20  {
21  public:
22 
23 
24  DtVector xyz;
25  double w;
26 
28  inline DtQuat();
29  inline DtQuat(double x, double y, double z, double w);
30  inline DtQuat(const DtVector& i, double real);
31 
33  inline DtQuat(double theta_z, double theta_y, double theta_x);
34 
36  inline DtQuat(const DtVector& angles);
37 
39  inline void set(double x,double y,double z,double w);
40 
42  inline DtQuat& operator=(const DtQuat& q);
43 
44  inline DtQuat operator+(const DtQuat& q) const;
45  inline DtQuat operator-(const DtQuat& q) const;
46  inline DtQuat operator*(const DtQuat& q) const;
47  inline DtQuat operator/(const DtQuat& q) const;
48  inline DtQuat operator*(double scale) const;
49  inline DtQuat operator/(double scale) const;
50  inline DtQuat operator-() const;
51  inline const DtQuat& operator+=(const DtQuat& q);
52  inline const DtQuat& operator-=(const DtQuat& q);
53  inline const DtQuat& operator*=(const DtQuat& q);
54  inline const DtQuat& operator*= (double scale);
55  inline const DtQuat& operator/=(double scale);
56 
58  inline double length() const;
59 
61  inline double length_squared() const;
62 
64  inline void normalize();
65 
67  inline DtQuat normalized() const;
68 
70  inline void conjugate();
71 
73  inline void invert();
74 
76  inline DtQuat log() const;
77 
79  inline DtQuat exp() const;
80 
82  inline void getMatrix4(double matrix[16]) const;
83 
86  inline void getMatrix3(double matrix[9]) const;
87 
89  static inline double dot(const DtQuat& q1, const DtQuat& q2);
90 
92  static inline DtQuat lerp(const DtQuat& q1, const DtQuat& q2, double t);
93 
95  static inline DtQuat slerp(const DtQuat& q1, const DtQuat& q2, double t);
96 
98  static inline DtQuat slerpNoInvert(const DtQuat& q1, const DtQuat& q2, double t);
99 
101  static inline DtQuat squad(const DtQuat& q1,const DtQuat& q2,const DtQuat& a,const DtQuat& b,double t);
102 
104  static inline DtQuat bezier(const DtQuat& q1,const DtQuat& q2,const DtQuat& a,const DtQuat& b,double t);
105 
107  static inline DtQuat spline(const DtQuat& qnm1,const DtQuat& qn,const DtQuat& qnp1);
108 
110  static inline DtQuat from_axis_angle(const DtVector& axis, double angle);
111 
113  inline void to_axis_angle(DtVector& axis, double& angle) const;
114 
116  inline DtVector rotate(const DtVector& v) const;
117 
119  inline DtVector euler_angles() const;
120  };
121 
122 
123 }
124 
125 #define DtQuat_INL_
126 #include <vrvUtil/DtQuat.inl>
127 #undef DtQuat_INL_
DtQuat operator/(const DtQuat &q) const
Definition: DtQuat.inl:108
void getMatrix4(double matrix[16]) const
casting to a 4x4 isomorphic matrix for right multiplication with vector
Definition: DtQuat.inl:231
static DtQuat squad(const DtQuat &q1, const DtQuat &q2, const DtQuat &a, const DtQuat &b, double t)
spherical cubic interpolation
Definition: DtQuat.inl:340
void invert()
inverts this quaternion
Definition: DtQuat.inl:197
x y t t *t x y t t t x y t t t x *y t *t t x *y t *t t x y t t t x y t t t t(t+t)") define_sfop3(16
void getMatrix3(double matrix[9]) const
Get a 3x3 rotation matrix.
Definition: DtQuat.inl:251
double length_squared() const
gets the squared length of this quaternion
Definition: DtQuat.inl:177
static DtQuat spline(const DtQuat &qnm1, const DtQuat &qn, const DtQuat &qnp1)
Given 3 quaternions, qn-1,qn and qn+1, calculate a control point to be used in spline interpolation...
Definition: DtQuat.inl:355
double length() const
gets the length of this quaternion
Definition: DtQuat.inl:171
DtQuat operator+(const DtQuat &q) const
Definition: DtQuat.inl:87
void conjugate()
computes the conjugate of this quaternion
Definition: DtQuat.inl:192
DtQuat operator*(const DtQuat &q) const
Definition: DtQuat.inl:97
DtVector xyz
the imaginary components
Definition: DtQuat.h:24
Contains DLL export macros.
DtQuat exp() const
returns e^quaternion = exp(v*a) = [cos(a),vsin(a)]
Definition: DtQuat.inl:219
DtQuat & operator=(const DtQuat &q)
basic operations
Definition: DtQuat.inl:80
x y t t *t x y t t t x y t t t x *y t *t t x *y t *t t x y t t t x y t t t x *y t *t t x *y t *t *t x y *z t t *t t x *y *z t *t *t t x y z t t t t x *y z t *t t t x * y(z *w))
static DtQuat from_axis_angle(const DtVector &axis, double angle)
converts from a normalized axis - angle pair rotation to a quaternion
Definition: DtQuat.inl:362
const DtQuat & operator+=(const DtQuat &q)
Definition: DtQuat.inl:130
void to_axis_angle(DtVector &axis, double &angle) const
returns the axis and angle of this unit quaternion
Definition: DtQuat.inl:368
static DtQuat bezier(const DtQuat &q1, const DtQuat &q2, const DtQuat &a, const DtQuat &b, double t)
Shoemake-Bezier interpolation using De Castlejau algorithm.
Definition: DtQuat.inl:347
DtVector rotate(const DtVector &v) const
rotates v by this quaternion (quaternion must be unit)
Definition: DtQuat.inl:384
x y * z
Definition: exprtk.hpp:9133
const DtQuat & operator-=(const DtQuat &q)
Definition: DtQuat.inl:137
const DtQuat & operator/=(double scale)
Definition: DtQuat.inl:163
void set(double x, double y, double z, double w)
Set the quat.
Definition: DtQuat.inl:71
static DtQuat slerpNoInvert(const DtQuat &q1, const DtQuat &q2, double t)
This version of slerp, used by squad, does not check for theta &gt; 90.
Definition: DtQuat.inl:325
static DtQuat slerp(const DtQuat &q1, const DtQuat &q2, double t)
spherical linear interpolation
Definition: DtQuat.inl:280
x y t t *t x y t t t x y t t t x *y t *t t x *y t *t t x y t t t x y t t t x(y+z)
double w
the real component
Definition: DtQuat.h:25
DtQuat operator-() const
Definition: DtQuat.inl:125
const DtQuat & operator*=(const DtQuat &q)
Definition: DtQuat.inl:144
A utility Quaternion class.
Definition: DtQuat.h:19
static double dot(const DtQuat &q1, const DtQuat &q2)
computes the dot product of 2 quaternions
Definition: DtQuat.inl:264
DtQuat normalized() const
returns the normalized version of this quaternion
Definition: DtQuat.inl:187
void normalize()
normalizes this quaternion
Definition: DtQuat.inl:182
Contains makVrv::DtQuat class.
static DtQuat lerp(const DtQuat &q1, const DtQuat &q2, double t)
linear quaternion interpolation
Definition: DtQuat.inl:269
DtQuat()
constructors
Definition: DtQuat.inl:19
DtQuat log() const
returns the logarithm of a quaternion = v*a where q = [cos(a),v*sin(a)]
Definition: DtQuat.inl:203
DtVector euler_angles() const
returns the euler angles from a rotation quaternion
Definition: DtQuat.inl:393


Copyright © 2005-2024 MAK Technologies. All Rights Reserved (www.mak.com)