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39
40#ifndef QQUATERNION_H
41#define QQUATERNION_H
42
43#include <QtGui/qtguiglobal.h>
44#include <QtGui/qgenericmatrix.h>
45#include <QtGui/qvector3d.h>
46#include <QtGui/qvector4d.h>
47
48QT_BEGIN_NAMESPACE
49
50
51#ifndef QT_NO_QUATERNION
52
53class QMatrix4x4;
54class QVariant;
55
56class Q_GUI_EXPORT QQuaternion
57{
58public:
59 QQuaternion();
60 explicit QQuaternion(Qt::Initialization) {}
61 QQuaternion(float scalar, float xpos, float ypos, float zpos);
62#ifndef QT_NO_VECTOR3D
63 QQuaternion(float scalar, const QVector3D& vector);
64#endif
65#ifndef QT_NO_VECTOR4D
66 explicit QQuaternion(const QVector4D& vector);
67#endif
68
69 bool isNull() const;
70 bool isIdentity() const;
71
72#ifndef QT_NO_VECTOR3D
73 QVector3D vector() const;
74 void setVector(const QVector3D& vector);
75#endif
76 void setVector(float x, float y, float z);
77
78 float x() const;
79 float y() const;
80 float z() const;
81 float scalar() const;
82
83 void setX(float x);
84 void setY(float y);
85 void setZ(float z);
86 void setScalar(float scalar);
87
88 Q_DECL_CONSTEXPR static inline float dotProduct(const QQuaternion &q1, const QQuaternion &q2);
89
90 float length() const;
91 float lengthSquared() const;
92
93 Q_REQUIRED_RESULT QQuaternion normalized() const;
94 void normalize();
95
96 inline QQuaternion inverted() const;
97
98 Q_REQUIRED_RESULT QQuaternion conjugated() const;
99#if QT_DEPRECATED_SINCE(5, 5)
100 Q_REQUIRED_RESULT QT_DEPRECATED QQuaternion conjugate() const;
101#endif
102
103 QVector3D rotatedVector(const QVector3D& vector) const;
104
105 QQuaternion &operator+=(const QQuaternion &quaternion);
106 QQuaternion &operator-=(const QQuaternion &quaternion);
107 QQuaternion &operator*=(float factor);
108 QQuaternion &operator*=(const QQuaternion &quaternion);
109 QQuaternion &operator/=(float divisor);
110
111 friend inline bool operator==(const QQuaternion &q1, const QQuaternion &q2);
112 friend inline bool operator!=(const QQuaternion &q1, const QQuaternion &q2);
113 friend inline const QQuaternion operator+(const QQuaternion &q1, const QQuaternion &q2);
114 friend inline const QQuaternion operator-(const QQuaternion &q1, const QQuaternion &q2);
115 friend inline const QQuaternion operator*(float factor, const QQuaternion &quaternion);
116 friend inline const QQuaternion operator*(const QQuaternion &quaternion, float factor);
117 friend inline const QQuaternion operator*(const QQuaternion &q1, const QQuaternion& q2);
118 friend inline const QQuaternion operator-(const QQuaternion &quaternion);
119 friend inline const QQuaternion operator/(const QQuaternion &quaternion, float divisor);
120
121 friend inline bool qFuzzyCompare(const QQuaternion& q1, const QQuaternion& q2);
122
123#ifndef QT_NO_VECTOR4D
124 QVector4D toVector4D() const;
125#endif
126
127 operator QVariant() const;
128
129#ifndef QT_NO_VECTOR3D
130 inline void getAxisAndAngle(QVector3D *axis, float *angle) const;
131 static QQuaternion fromAxisAndAngle(const QVector3D& axis, float angle);
132#endif
133 void getAxisAndAngle(float *x, float *y, float *z, float *angle) const;
134 static QQuaternion fromAxisAndAngle
135 (float x, float y, float z, float angle);
136
137#ifndef QT_NO_VECTOR3D
138 inline QVector3D toEulerAngles() const;
139 static inline QQuaternion fromEulerAngles(const QVector3D &eulerAngles);
140#endif
141 void getEulerAngles(float *pitch, float *yaw, float *roll) const;
142 static QQuaternion fromEulerAngles(float pitch, float yaw, float roll);
143
144 QMatrix3x3 toRotationMatrix() const;
145 static QQuaternion fromRotationMatrix(const QMatrix3x3 &rot3x3);
146
147#ifndef QT_NO_VECTOR3D
148 void getAxes(QVector3D *xAxis, QVector3D *yAxis, QVector3D *zAxis) const;
149 static QQuaternion fromAxes(const QVector3D &xAxis, const QVector3D &yAxis, const QVector3D &zAxis);
150
151 static QQuaternion fromDirection(const QVector3D &direction, const QVector3D &up);
152
153 static QQuaternion rotationTo(const QVector3D &from, const QVector3D &to);
154#endif
155
156 static QQuaternion slerp
157 (const QQuaternion& q1, const QQuaternion& q2, float t);
158 static QQuaternion nlerp
159 (const QQuaternion& q1, const QQuaternion& q2, float t);
160
161private:
162 float wp, xp, yp, zp;
163};
164
165Q_DECLARE_TYPEINFO(QQuaternion, Q_MOVABLE_TYPE);
166
167inline QQuaternion::QQuaternion() : wp(1.0f), xp(0.0f), yp(0.0f), zp(0.0f) {}
168
169inline QQuaternion::QQuaternion(float aScalar, float xpos, float ypos, float zpos) : wp(aScalar), xp(xpos), yp(ypos), zp(zpos) {}
170
171QT_WARNING_PUSH
172QT_WARNING_DISABLE_CLANG("-Wfloat-equal")
173QT_WARNING_DISABLE_GCC("-Wfloat-equal")
174QT_WARNING_DISABLE_INTEL(1572)
175inline bool QQuaternion::isNull() const
176{
177 return wp == 0.0f && xp == 0.0f && yp == 0.0f && zp == 0.0f;
178}
179
180inline bool QQuaternion::isIdentity() const
181{
182 return wp == 1.0f && xp == 0.0f && yp == 0.0f && zp == 0.0f;
183}
184
185inline bool operator==(const QQuaternion &q1, const QQuaternion &q2)
186{
187 return q1.wp == q2.wp && q1.xp == q2.xp && q1.yp == q2.yp && q1.zp == q2.zp;
188}
189QT_WARNING_POP
190
191inline float QQuaternion::x() const { return xp; }
192inline float QQuaternion::y() const { return yp; }
193inline float QQuaternion::z() const { return zp; }
194inline float QQuaternion::scalar() const { return wp; }
195
196inline void QQuaternion::setX(float aX) { xp = aX; }
197inline void QQuaternion::setY(float aY) { yp = aY; }
198inline void QQuaternion::setZ(float aZ) { zp = aZ; }
199inline void QQuaternion::setScalar(float aScalar) { wp = aScalar; }
200
201Q_DECL_CONSTEXPR inline float QQuaternion::dotProduct(const QQuaternion &q1, const QQuaternion &q2)
202{
203 return q1.wp * q2.wp + q1.xp * q2.xp + q1.yp * q2.yp + q1.zp * q2.zp;
204}
205
206inline QQuaternion QQuaternion::inverted() const
207{
208 // Need some extra precision if the length is very small.
209 double len = double(wp) * double(wp) +
210 double(xp) * double(xp) +
211 double(yp) * double(yp) +
212 double(zp) * double(zp);
213 if (!qFuzzyIsNull(d: len))
214 return QQuaternion(float(double(wp) / len), float(double(-xp) / len),
215 float(double(-yp) / len), float(double(-zp) / len));
216 return QQuaternion(0.0f, 0.0f, 0.0f, 0.0f);
217}
218
219inline QQuaternion QQuaternion::conjugated() const
220{
221 return QQuaternion(wp, -xp, -yp, -zp);
222}
223
224#if QT_DEPRECATED_SINCE(5, 5)
225inline QQuaternion QQuaternion::conjugate() const
226{
227 return conjugated();
228}
229#endif
230
231inline QQuaternion &QQuaternion::operator+=(const QQuaternion &quaternion)
232{
233 wp += quaternion.wp;
234 xp += quaternion.xp;
235 yp += quaternion.yp;
236 zp += quaternion.zp;
237 return *this;
238}
239
240inline QQuaternion &QQuaternion::operator-=(const QQuaternion &quaternion)
241{
242 wp -= quaternion.wp;
243 xp -= quaternion.xp;
244 yp -= quaternion.yp;
245 zp -= quaternion.zp;
246 return *this;
247}
248
249inline QQuaternion &QQuaternion::operator*=(float factor)
250{
251 wp *= factor;
252 xp *= factor;
253 yp *= factor;
254 zp *= factor;
255 return *this;
256}
257
258inline const QQuaternion operator*(const QQuaternion &q1, const QQuaternion& q2)
259{
260 float yy = (q1.wp - q1.yp) * (q2.wp + q2.zp);
261 float zz = (q1.wp + q1.yp) * (q2.wp - q2.zp);
262 float ww = (q1.zp + q1.xp) * (q2.xp + q2.yp);
263 float xx = ww + yy + zz;
264 float qq = 0.5f * (xx + (q1.zp - q1.xp) * (q2.xp - q2.yp));
265
266 float w = qq - ww + (q1.zp - q1.yp) * (q2.yp - q2.zp);
267 float x = qq - xx + (q1.xp + q1.wp) * (q2.xp + q2.wp);
268 float y = qq - yy + (q1.wp - q1.xp) * (q2.yp + q2.zp);
269 float z = qq - zz + (q1.zp + q1.yp) * (q2.wp - q2.xp);
270
271 return QQuaternion(w, x, y, z);
272}
273
274inline QQuaternion &QQuaternion::operator*=(const QQuaternion &quaternion)
275{
276 *this = *this * quaternion;
277 return *this;
278}
279
280inline QQuaternion &QQuaternion::operator/=(float divisor)
281{
282 wp /= divisor;
283 xp /= divisor;
284 yp /= divisor;
285 zp /= divisor;
286 return *this;
287}
288
289inline bool operator!=(const QQuaternion &q1, const QQuaternion &q2)
290{
291 return !operator==(q1, q2);
292}
293
294inline const QQuaternion operator+(const QQuaternion &q1, const QQuaternion &q2)
295{
296 return QQuaternion(q1.wp + q2.wp, q1.xp + q2.xp, q1.yp + q2.yp, q1.zp + q2.zp);
297}
298
299inline const QQuaternion operator-(const QQuaternion &q1, const QQuaternion &q2)
300{
301 return QQuaternion(q1.wp - q2.wp, q1.xp - q2.xp, q1.yp - q2.yp, q1.zp - q2.zp);
302}
303
304inline const QQuaternion operator*(float factor, const QQuaternion &quaternion)
305{
306 return QQuaternion(quaternion.wp * factor, quaternion.xp * factor, quaternion.yp * factor, quaternion.zp * factor);
307}
308
309inline const QQuaternion operator*(const QQuaternion &quaternion, float factor)
310{
311 return QQuaternion(quaternion.wp * factor, quaternion.xp * factor, quaternion.yp * factor, quaternion.zp * factor);
312}
313
314inline const QQuaternion operator-(const QQuaternion &quaternion)
315{
316 return QQuaternion(-quaternion.wp, -quaternion.xp, -quaternion.yp, -quaternion.zp);
317}
318
319inline const QQuaternion operator/(const QQuaternion &quaternion, float divisor)
320{
321 return QQuaternion(quaternion.wp / divisor, quaternion.xp / divisor, quaternion.yp / divisor, quaternion.zp / divisor);
322}
323
324inline bool qFuzzyCompare(const QQuaternion& q1, const QQuaternion& q2)
325{
326 return qFuzzyCompare(p1: q1.wp, p2: q2.wp) &&
327 qFuzzyCompare(p1: q1.xp, p2: q2.xp) &&
328 qFuzzyCompare(p1: q1.yp, p2: q2.yp) &&
329 qFuzzyCompare(p1: q1.zp, p2: q2.zp);
330}
331
332#ifndef QT_NO_VECTOR3D
333
334inline QQuaternion::QQuaternion(float aScalar, const QVector3D& aVector)
335 : wp(aScalar), xp(aVector.x()), yp(aVector.y()), zp(aVector.z()) {}
336
337inline void QQuaternion::setVector(const QVector3D& aVector)
338{
339 xp = aVector.x();
340 yp = aVector.y();
341 zp = aVector.z();
342}
343
344inline QVector3D QQuaternion::vector() const
345{
346 return QVector3D(xp, yp, zp);
347}
348
349inline QVector3D operator*(const QQuaternion &quaternion, const QVector3D &vec)
350{
351 return quaternion.rotatedVector(vector: vec);
352}
353
354inline void QQuaternion::getAxisAndAngle(QVector3D *axis, float *angle) const
355{
356 float aX, aY, aZ;
357 getAxisAndAngle(x: &aX, y: &aY, z: &aZ, angle);
358 *axis = QVector3D(aX, aY, aZ);
359}
360
361inline QVector3D QQuaternion::toEulerAngles() const
362{
363 float pitch, yaw, roll;
364 getEulerAngles(pitch: &pitch, yaw: &yaw, roll: &roll);
365 return QVector3D(pitch, yaw, roll);
366}
367
368inline QQuaternion QQuaternion::fromEulerAngles(const QVector3D &eulerAngles)
369{
370 return QQuaternion::fromEulerAngles(pitch: eulerAngles.x(), yaw: eulerAngles.y(), roll: eulerAngles.z());
371}
372
373#endif
374
375inline void QQuaternion::setVector(float aX, float aY, float aZ)
376{
377 xp = aX;
378 yp = aY;
379 zp = aZ;
380}
381
382#ifndef QT_NO_VECTOR4D
383
384inline QQuaternion::QQuaternion(const QVector4D& aVector)
385 : wp(aVector.w()), xp(aVector.x()), yp(aVector.y()), zp(aVector.z()) {}
386
387inline QVector4D QQuaternion::toVector4D() const
388{
389 return QVector4D(xp, yp, zp, wp);
390}
391
392#endif
393
394#ifndef QT_NO_DEBUG_STREAM
395Q_GUI_EXPORT QDebug operator<<(QDebug dbg, const QQuaternion &q);
396#endif
397
398#ifndef QT_NO_DATASTREAM
399Q_GUI_EXPORT QDataStream &operator<<(QDataStream &, const QQuaternion &);
400Q_GUI_EXPORT QDataStream &operator>>(QDataStream &, QQuaternion &);
401#endif
402
403#endif
404
405QT_END_NAMESPACE
406
407#endif
408

source code of qtbase/src/gui/math3d/qquaternion.h