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- /****************************************************************************
- **
- ** Copyright (C) 2016 The Qt Company Ltd.
- ** Contact: https://www.qt.io/licensing/
- **
- ** This file is part of the QtGui module of the Qt Toolkit.
- **
- ** $QT_BEGIN_LICENSE:LGPL$
- ** Commercial License Usage
- ** Licensees holding valid commercial Qt licenses may use this file in
- ** accordance with the commercial license agreement provided with the
- ** Software or, alternatively, in accordance with the terms contained in
- ** a written agreement between you and The Qt Company. For licensing terms
- ** and conditions see https://www.qt.io/terms-conditions. For further
- ** information use the contact form at https://www.qt.io/contact-us.
- **
- ** GNU Lesser General Public License Usage
- ** Alternatively, this file may be used under the terms of the GNU Lesser
- ** General Public License version 3 as published by the Free Software
- ** Foundation and appearing in the file LICENSE.LGPL3 included in the
- ** packaging of this file. Please review the following information to
- ** ensure the GNU Lesser General Public License version 3 requirements
- ** will be met: https://www.gnu.org/licenses/lgpl-3.0.html.
- **
- ** GNU General Public License Usage
- ** Alternatively, this file may be used under the terms of the GNU
- ** General Public License version 2.0 or (at your option) the GNU General
- ** Public license version 3 or any later version approved by the KDE Free
- ** Qt Foundation. The licenses are as published by the Free Software
- ** Foundation and appearing in the file LICENSE.GPL2 and LICENSE.GPL3
- ** included in the packaging of this file. Please review the following
- ** information to ensure the GNU General Public License requirements will
- ** be met: https://www.gnu.org/licenses/gpl-2.0.html and
- ** https://www.gnu.org/licenses/gpl-3.0.html.
- **
- ** $QT_END_LICENSE$
- **
- ****************************************************************************/
- #ifndef QQUATERNION_H
- #define QQUATERNION_H
- #include <QtGui/qgenericmatrix.h>
- #include <QtGui/qvector3d.h>
- #include <QtGui/qvector4d.h>
- QT_BEGIN_NAMESPACE
- #ifndef QT_NO_QUATERNION
- class QMatrix4x4;
- class QVariant;
- class Q_GUI_EXPORT QQuaternion
- {
- public:
- QQuaternion();
- explicit QQuaternion(Qt::Initialization) {}
- QQuaternion(float scalar, float xpos, float ypos, float zpos);
- #ifndef QT_NO_VECTOR3D
- QQuaternion(float scalar, const QVector3D& vector);
- #endif
- #ifndef QT_NO_VECTOR4D
- explicit QQuaternion(const QVector4D& vector);
- #endif
- bool isNull() const;
- bool isIdentity() const;
- #ifndef QT_NO_VECTOR3D
- QVector3D vector() const;
- void setVector(const QVector3D& vector);
- #endif
- void setVector(float x, float y, float z);
- float x() const;
- float y() const;
- float z() const;
- float scalar() const;
- void setX(float x);
- void setY(float y);
- void setZ(float z);
- void setScalar(float scalar);
- Q_DECL_CONSTEXPR static inline float dotProduct(const QQuaternion &q1, const QQuaternion &q2);
- float length() const;
- float lengthSquared() const;
- QQuaternion normalized() const Q_REQUIRED_RESULT;
- void normalize();
- inline QQuaternion inverted() const;
- QQuaternion conjugated() const Q_REQUIRED_RESULT;
- #if QT_DEPRECATED_SINCE(5, 5)
- QT_DEPRECATED QQuaternion conjugate() const Q_REQUIRED_RESULT;
- #endif
- QVector3D rotatedVector(const QVector3D& vector) const;
- QQuaternion &operator+=(const QQuaternion &quaternion);
- QQuaternion &operator-=(const QQuaternion &quaternion);
- QQuaternion &operator*=(float factor);
- QQuaternion &operator*=(const QQuaternion &quaternion);
- QQuaternion &operator/=(float divisor);
- friend inline bool operator==(const QQuaternion &q1, const QQuaternion &q2);
- friend inline bool operator!=(const QQuaternion &q1, const QQuaternion &q2);
- friend inline const QQuaternion operator+(const QQuaternion &q1, const QQuaternion &q2);
- friend inline const QQuaternion operator-(const QQuaternion &q1, const QQuaternion &q2);
- friend inline const QQuaternion operator*(float factor, const QQuaternion &quaternion);
- friend inline const QQuaternion operator*(const QQuaternion &quaternion, float factor);
- friend inline const QQuaternion operator*(const QQuaternion &q1, const QQuaternion& q2);
- friend inline const QQuaternion operator-(const QQuaternion &quaternion);
- friend inline const QQuaternion operator/(const QQuaternion &quaternion, float divisor);
- friend inline bool qFuzzyCompare(const QQuaternion& q1, const QQuaternion& q2);
- #ifndef QT_NO_VECTOR4D
- QVector4D toVector4D() const;
- #endif
- operator QVariant() const;
- #ifndef QT_NO_VECTOR3D
- inline void getAxisAndAngle(QVector3D *axis, float *angle) const;
- static QQuaternion fromAxisAndAngle(const QVector3D& axis, float angle);
- #endif
- void getAxisAndAngle(float *x, float *y, float *z, float *angle) const;
- static QQuaternion fromAxisAndAngle
- (float x, float y, float z, float angle);
- #ifndef QT_NO_VECTOR3D
- inline QVector3D toEulerAngles() const;
- static inline QQuaternion fromEulerAngles(const QVector3D &eulerAngles);
- #endif
- void getEulerAngles(float *pitch, float *yaw, float *roll) const;
- static QQuaternion fromEulerAngles(float pitch, float yaw, float roll);
- QMatrix3x3 toRotationMatrix() const;
- static QQuaternion fromRotationMatrix(const QMatrix3x3 &rot3x3);
- #ifndef QT_NO_VECTOR3D
- void getAxes(QVector3D *xAxis, QVector3D *yAxis, QVector3D *zAxis) const;
- static QQuaternion fromAxes(const QVector3D &xAxis, const QVector3D &yAxis, const QVector3D &zAxis);
- static QQuaternion fromDirection(const QVector3D &direction, const QVector3D &up);
- static QQuaternion rotationTo(const QVector3D &from, const QVector3D &to);
- #endif
- static QQuaternion slerp
- (const QQuaternion& q1, const QQuaternion& q2, float t);
- static QQuaternion nlerp
- (const QQuaternion& q1, const QQuaternion& q2, float t);
- private:
- float wp, xp, yp, zp;
- };
- Q_DECLARE_TYPEINFO(QQuaternion, Q_MOVABLE_TYPE);
- inline QQuaternion::QQuaternion() : wp(1.0f), xp(0.0f), yp(0.0f), zp(0.0f) {}
- inline QQuaternion::QQuaternion(float aScalar, float xpos, float ypos, float zpos) : wp(aScalar), xp(xpos), yp(ypos), zp(zpos) {}
- inline bool QQuaternion::isNull() const
- {
- return wp == 0.0f && xp == 0.0f && yp == 0.0f && zp == 0.0f;
- }
- inline bool QQuaternion::isIdentity() const
- {
- return wp == 1.0f && xp == 0.0f && yp == 0.0f && zp == 0.0f;
- }
- inline float QQuaternion::x() const { return xp; }
- inline float QQuaternion::y() const { return yp; }
- inline float QQuaternion::z() const { return zp; }
- inline float QQuaternion::scalar() const { return wp; }
- inline void QQuaternion::setX(float aX) { xp = aX; }
- inline void QQuaternion::setY(float aY) { yp = aY; }
- inline void QQuaternion::setZ(float aZ) { zp = aZ; }
- inline void QQuaternion::setScalar(float aScalar) { wp = aScalar; }
- Q_DECL_CONSTEXPR inline float QQuaternion::dotProduct(const QQuaternion &q1, const QQuaternion &q2)
- {
- return q1.wp * q2.wp + q1.xp * q2.xp + q1.yp * q2.yp + q1.zp * q2.zp;
- }
- inline QQuaternion QQuaternion::inverted() const
- {
- // Need some extra precision if the length is very small.
- double len = double(wp) * double(wp) +
- double(xp) * double(xp) +
- double(yp) * double(yp) +
- double(zp) * double(zp);
- if (!qFuzzyIsNull(len))
- return QQuaternion(wp / len, -xp / len, -yp / len, -zp / len);
- return QQuaternion(0.0f, 0.0f, 0.0f, 0.0f);
- }
- inline QQuaternion QQuaternion::conjugated() const
- {
- return QQuaternion(wp, -xp, -yp, -zp);
- }
- #if QT_DEPRECATED_SINCE(5, 5)
- inline QQuaternion QQuaternion::conjugate() const
- {
- return conjugated();
- }
- #endif
- inline QQuaternion &QQuaternion::operator+=(const QQuaternion &quaternion)
- {
- wp += quaternion.wp;
- xp += quaternion.xp;
- yp += quaternion.yp;
- zp += quaternion.zp;
- return *this;
- }
- inline QQuaternion &QQuaternion::operator-=(const QQuaternion &quaternion)
- {
- wp -= quaternion.wp;
- xp -= quaternion.xp;
- yp -= quaternion.yp;
- zp -= quaternion.zp;
- return *this;
- }
- inline QQuaternion &QQuaternion::operator*=(float factor)
- {
- wp *= factor;
- xp *= factor;
- yp *= factor;
- zp *= factor;
- return *this;
- }
- inline const QQuaternion operator*(const QQuaternion &q1, const QQuaternion& q2)
- {
- float yy = (q1.wp - q1.yp) * (q2.wp + q2.zp);
- float zz = (q1.wp + q1.yp) * (q2.wp - q2.zp);
- float ww = (q1.zp + q1.xp) * (q2.xp + q2.yp);
- float xx = ww + yy + zz;
- float qq = 0.5 * (xx + (q1.zp - q1.xp) * (q2.xp - q2.yp));
- float w = qq - ww + (q1.zp - q1.yp) * (q2.yp - q2.zp);
- float x = qq - xx + (q1.xp + q1.wp) * (q2.xp + q2.wp);
- float y = qq - yy + (q1.wp - q1.xp) * (q2.yp + q2.zp);
- float z = qq - zz + (q1.zp + q1.yp) * (q2.wp - q2.xp);
- return QQuaternion(w, x, y, z);
- }
- inline QQuaternion &QQuaternion::operator*=(const QQuaternion &quaternion)
- {
- *this = *this * quaternion;
- return *this;
- }
- inline QQuaternion &QQuaternion::operator/=(float divisor)
- {
- wp /= divisor;
- xp /= divisor;
- yp /= divisor;
- zp /= divisor;
- return *this;
- }
- inline bool operator==(const QQuaternion &q1, const QQuaternion &q2)
- {
- return q1.wp == q2.wp && q1.xp == q2.xp && q1.yp == q2.yp && q1.zp == q2.zp;
- }
- inline bool operator!=(const QQuaternion &q1, const QQuaternion &q2)
- {
- return !operator==(q1, q2);
- }
- inline const QQuaternion operator+(const QQuaternion &q1, const QQuaternion &q2)
- {
- return QQuaternion(q1.wp + q2.wp, q1.xp + q2.xp, q1.yp + q2.yp, q1.zp + q2.zp);
- }
- inline const QQuaternion operator-(const QQuaternion &q1, const QQuaternion &q2)
- {
- return QQuaternion(q1.wp - q2.wp, q1.xp - q2.xp, q1.yp - q2.yp, q1.zp - q2.zp);
- }
- inline const QQuaternion operator*(float factor, const QQuaternion &quaternion)
- {
- return QQuaternion(quaternion.wp * factor, quaternion.xp * factor, quaternion.yp * factor, quaternion.zp * factor);
- }
- inline const QQuaternion operator*(const QQuaternion &quaternion, float factor)
- {
- return QQuaternion(quaternion.wp * factor, quaternion.xp * factor, quaternion.yp * factor, quaternion.zp * factor);
- }
- inline const QQuaternion operator-(const QQuaternion &quaternion)
- {
- return QQuaternion(-quaternion.wp, -quaternion.xp, -quaternion.yp, -quaternion.zp);
- }
- inline const QQuaternion operator/(const QQuaternion &quaternion, float divisor)
- {
- return QQuaternion(quaternion.wp / divisor, quaternion.xp / divisor, quaternion.yp / divisor, quaternion.zp / divisor);
- }
- inline bool qFuzzyCompare(const QQuaternion& q1, const QQuaternion& q2)
- {
- return qFuzzyCompare(q1.wp, q2.wp) &&
- qFuzzyCompare(q1.xp, q2.xp) &&
- qFuzzyCompare(q1.yp, q2.yp) &&
- qFuzzyCompare(q1.zp, q2.zp);
- }
- #ifndef QT_NO_VECTOR3D
- inline QQuaternion::QQuaternion(float aScalar, const QVector3D& aVector)
- : wp(aScalar), xp(aVector.x()), yp(aVector.y()), zp(aVector.z()) {}
- inline void QQuaternion::setVector(const QVector3D& aVector)
- {
- xp = aVector.x();
- yp = aVector.y();
- zp = aVector.z();
- }
- inline QVector3D QQuaternion::vector() const
- {
- return QVector3D(xp, yp, zp);
- }
- inline QVector3D operator*(const QQuaternion &quaternion, const QVector3D &vec)
- {
- return quaternion.rotatedVector(vec);
- }
- inline void QQuaternion::getAxisAndAngle(QVector3D *axis, float *angle) const
- {
- float aX, aY, aZ;
- getAxisAndAngle(&aX, &aY, &aZ, angle);
- *axis = QVector3D(aX, aY, aZ);
- }
- inline QVector3D QQuaternion::toEulerAngles() const
- {
- float pitch, yaw, roll;
- getEulerAngles(&pitch, &yaw, &roll);
- return QVector3D(pitch, yaw, roll);
- }
- inline QQuaternion QQuaternion::fromEulerAngles(const QVector3D &eulerAngles)
- {
- return QQuaternion::fromEulerAngles(eulerAngles.x(), eulerAngles.y(), eulerAngles.z());
- }
- #endif
- inline void QQuaternion::setVector(float aX, float aY, float aZ)
- {
- xp = aX;
- yp = aY;
- zp = aZ;
- }
- #ifndef QT_NO_VECTOR4D
- inline QQuaternion::QQuaternion(const QVector4D& aVector)
- : wp(aVector.w()), xp(aVector.x()), yp(aVector.y()), zp(aVector.z()) {}
- inline QVector4D QQuaternion::toVector4D() const
- {
- return QVector4D(xp, yp, zp, wp);
- }
- #endif
- #ifndef QT_NO_DEBUG_STREAM
- Q_GUI_EXPORT QDebug operator<<(QDebug dbg, const QQuaternion &q);
- #endif
- #ifndef QT_NO_DATASTREAM
- Q_GUI_EXPORT QDataStream &operator<<(QDataStream &, const QQuaternion &);
- Q_GUI_EXPORT QDataStream &operator>>(QDataStream &, QQuaternion &);
- #endif
- #endif
- QT_END_NAMESPACE
- #endif
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