# QQuaternion Class Reference
## [[QtGui](index.htm) module]
该QQuaternion类表示一个四元数组成的向量和标量的。[More...](#details)
### Methods
* `__init__ (self)`
* `__init__ (self, float aScalar, float xpos, float ypos, float zpos)`
* `__init__ (self, float aScalar, QVector3D aVector)`
* `__init__ (self, QVector4D aVector)`
* `__init__ (self, QQuaternion)`
* `QQuaternion conjugate (self)`
* `bool isIdentity (self)`
* `bool isNull (self)`
* `float length (self)`
* `float lengthSquared (self)`
* `normalize (self)`
* `QQuaternion normalized (self)`
* `QVector3D rotatedVector (self, QVector3D vector)`
* `float scalar (self)`
* `setScalar (self, float aScalar)`
* `setVector (self, QVector3D aVector)`
* `setVector (self, float aX, float aY, float aZ)`
* `setX (self, float aX)`
* `setY (self, float aY)`
* `setZ (self, float aZ)`
* `QVector4D toVector4D (self)`
* `QVector3D vector (self)`
* `float x (self)`
* `float y (self)`
* `float z (self)`
### Static Methods
* `QQuaternion fromAxisAndAngle (QVector3D axis, float angle)`
* `QQuaternion fromAxisAndAngle (float x, float y, float z, float angle)`
* `QQuaternion nlerp (QQuaternion q1, QQuaternion q2, float t)`
* `QQuaternion slerp (QQuaternion q1, QQuaternion q2, float t)`
### Special Methods
* `QQuaternion __add__ (self, QQuaternion q2)`
* `QQuaternion __div__ (self, float divisor)`
* `bool __eq__ (self, QQuaternion q2)`
* `QQuaternion __iadd__ (self, QQuaternion quaternion)`
* `QQuaternion __idiv__ (self, float divisor)`
* `QQuaternion __imul__ (self, float factor)`
* `QQuaternion __imul__ (self, QQuaternion quaternion)`
* `QQuaternion __isub__ (self, QQuaternion quaternion)`
* `QQuaternion __mul__ (self, QQuaternion q2)`
* `QQuaternion __mul__ (self, QQuaternion quaternion)`
* `QQuaternion __mul__ (self, float factor)`
* `bool __ne__ (self, QQuaternion q2)`
* `QQuaternion __neg__ (self)`
* `str __repr__ (self)`
* `QQuaternion __sub__ (self, QQuaternion q2)`
* * *
## Detailed Description
这个类可以醃制。
该QQuaternion类表示一个四元数组成的向量和标量的。
四元被用来表示在三维空间中旋转，并包括由x ， y和z坐标，以及表示旋转角度的标量指定一个三维旋转轴线。
* * *
## Method Documentation
```
QQuaternion.__init__ (self)
```
构造一个单位四元数，即坐标为（ 1 ，0，0 ，0）。
```
QQuaternion.__init__ (self, float aScalar, float xpos, float ypos, float zpos)
```
构造一个四元数与向量（_xpos_，_ypos_，_zpos_）和_scalar_。
```
QQuaternion.__init__ (self, float aScalar, QVector3D aVector)
```
构造一个四元数向量从指定的_vector_和_scalar_。
**See also** [vector](qquaternion.html#vector)（）和[scalar](qquaternion.html#scalar)（ ） 。
```
QQuaternion.__init__ (self, QVector4D aVector)
```
构造一个从四元数的组成部分_vector_。
```
QQuaternion.__init__ (self, QQuaternion)
```
```
QQuaternion QQuaternion.conjugate (self)
```
[
返回该四元数的共轭物，它是（ -X ， -Y，- Z，标量） 。
](qquaternion.html)
```
QQuaternion QQuaternion.fromAxisAndAngle (QVector3D axis, float angle)
```
[
创建对应于通过旋转归一化的四元数_angle_有关指定三维度_axis_。
](qquaternion.html)
```
QQuaternion QQuaternion.fromAxisAndAngle (float x, float y, float z, float angle)
```
[
创建对应于通过旋转归一化的四元数_angle_关于3D轴（度_x_，_y_，_z_） 。
```
bool QQuaternion.isIdentity (self)
```
返回True如果这个四元数在x ，y和z分量都设置为0.0 ，而标量分量设置为1.0 ，否则返回False 。
```
bool QQuaternion.isNull (self)
```
返回True如果这个四元数在x，y ，z和标量分量都设置为0.0 ，否则返回False 。
```
float QQuaternion.length (self)
```
返回四元数的长度。这也被称为“规范” 。
](qquaternion.html)
[**See also**](qquaternion.html) [lengthSquared](qquaternion.html#lengthSquared)（）和[normalized](qquaternion.html#normalized)（ ） 。
```
float QQuaternion.lengthSquared (self)
```
返回四元数的平方长度。
**See also** [length](qquaternion.html#length)（ ） 。
```
QQuaternion QQuaternion.nlerp (QQuaternion q1, QQuaternion q2, float t)
```
[](qquaternion.html)
[沿着所述旋转位置之间的最短直线路径插值_q1_和_q2_。价值_t_应该介于0和1，表示的距离之间的旅行_q1_和_q2_。其结果将是](qquaternion.html)[normalized](qquaternion.html#normalized)（ ） 。
If _t_小于或等于0，则_q1_将被退回。如果_t_大于或等于1，则_q2_将被退回。
该nlerp （）函数是通常比快[slerp](qquaternion.html#slerp)（ ），将球形插，这对于某些应用足够好给近似的结果。
**See also** [slerp](qquaternion.html#slerp)（ ） 。
```
QQuaternion.normalize (self)
```
标准化到位确认当期的四元数。什么也没有发生，如果这是一个空四元或四元数的长度是非常接近1。
**See also** [length](qquaternion.html#length)（）和[normalized](qquaternion.html#normalized)（ ） 。
```
QQuaternion QQuaternion.normalized (self)
```
[
返回此四元数的归一化单元的形式。
如果这四元数为null，则空四元数返回。如果四元数的长度是非常接近于1 ，则该四元将被返回原样。否则，长度为1的四元数的归一化的形式将被退回。
](qquaternion.html)
[**See also**](qquaternion.html) [length](qquaternion.html#length)（）和[normalize](qquaternion.html#normalize)（ ） 。
```
QVector3D QQuaternion.rotatedVector (self, QVector3D vector)
```
[
旋转_vector_这个四元数来产生在三维空间的新载体。下面的代码：
```
QVector3D result = q.rotatedVector(vector);
```
等效于以下内容：
](qvector3d.html)
```
QVector3D result = (q *QQuaternion(0, vector) * q.conjugate()).vector();
```
```
float QQuaternion.scalar (self)
```
返回此四元数的标量分量。
**See also** [setScalar](qquaternion.html#setScalar)（ ）[x](qquaternion.html#x)（ ）[y](qquaternion.html#y)（）和[z](qquaternion.html#z)（ ） 。
```
QQuaternion.setScalar (self, float aScalar)
```
设置此四元数的标量分量_scalar_。
**See also** [scalar](qquaternion.html#scalar)（ ）[setX](qquaternion.html#setX)（ ）[setY](qquaternion.html#setY)（）和[setZ](qquaternion.html#setZ)（ ） 。
```
QQuaternion.setVector (self, QVector3D aVector)
```
设置此四元数的向量组件_vector_。
**See also** [vector](qquaternion.html#vector)（）和[setScalar](qquaternion.html#setScalar)（ ） 。
```
QQuaternion.setVector (self, float aX, float aY, float aZ)
```
设置此四元数的向量分量（_x_，_y_，_z_） 。
**See also** [vector](qquaternion.html#vector)（）和[setScalar](qquaternion.html#setScalar)（ ） 。
```
QQuaternion.setX (self, float aX)
```
设置此四元数的向量的x坐标给定的_x_协调。
**See also** [x](qquaternion.html#x)（ ）[setY](qquaternion.html#setY)（ ）[setZ](qquaternion.html#setZ)（）和[setScalar](qquaternion.html#setScalar)（ ） 。
```
QQuaternion.setY (self, float aY)
```
设置此四元数的向量的y坐标给定的_y_协调。
**See also** [y](qquaternion.html#y)（ ）[setX](qquaternion.html#setX)（ ）[setZ](qquaternion.html#setZ)（）和[setScalar](qquaternion.html#setScalar)（ ） 。
```
QQuaternion.setZ (self, float aZ)
```
设置此四元数的向量的z坐标给定的_z_协调。
**See also** [z](qquaternion.html#z)（ ）[setX](qquaternion.html#setX)（ ）[setY](qquaternion.html#setY)（）和[setScalar](qquaternion.html#setScalar)（ ） 。
```
QQuaternion QQuaternion.slerp (QQuaternion q1, QQuaternion q2, float t)
```
[
沿着所述旋转位置之间的最短路径球形插_q1_和_q2_。价值_t_应该介于0和1，表示球面距离之间旅行_q1_和_q2_。
If _t_小于或等于0，则_q1_将被退回。如果_t_大于或等于1，则_q2_将被退回。
](qquaternion.html)
[**See also**](qquaternion.html) [nlerp](qquaternion.html#nlerp)（ ） 。
```
QVector4D QQuaternion.toVector4D (self)
```
[
返回此四元数为4D向量。
](qvector4d.html)
```
QVector3D QQuaternion.vector (self)
```
[
返回此四元数的矢量分量。
](qvector3d.html)
[**See also**](qvector3d.html) [setVector](qquaternion.html#setVector)（）和[scalar](qquaternion.html#scalar)（ ） 。
```
float QQuaternion.x (self)
```
返回此四元数的向量的x坐标。
**See also** [setX](qquaternion.html#setX)（ ）[y](qquaternion.html#y)（ ）[z](qquaternion.html#z)（）和[scalar](qquaternion.html#scalar)（ ） 。
```
float QQuaternion.y (self)
```
返回此四元数的向量的y坐标。
**See also** [setY](qquaternion.html#setY)（ ）[x](qquaternion.html#x)（ ）[z](qquaternion.html#z)（）和[scalar](qquaternion.html#scalar)（ ） 。
```
float QQuaternion.z (self)
```
返回此四元数的向量的z坐标。
**See also** [setZ](qquaternion.html#setZ)（ ）[x](qquaternion.html#x)（ ）[y](qquaternion.html#y)（）和[scalar](qquaternion.html#scalar)（ ） 。
```
QQuaternion QQuaternion.__add__ (self, QQuaternion q2)
```
[](qquaternion.html)
```
QQuaternion QQuaternion.__div__ (self, float divisor)
```
[
```
bool QQuaternion.__eq__ (self, QQuaternion q2)
```
](qquaternion.html)
```
QQuaternion QQuaternion.__iadd__ (self, QQuaternion quaternion)
```
[](qquaternion.html)
```
QQuaternion QQuaternion.__idiv__ (self, float divisor)
```
[](qquaternion.html)
```
QQuaternion QQuaternion.__imul__ (self, float factor)
```
[](qquaternion.html)
```
QQuaternion QQuaternion.__imul__ (self, QQuaternion quaternion)
```
[](qquaternion.html)
```
QQuaternion QQuaternion.__isub__ (self, QQuaternion quaternion)
```
[](qquaternion.html)
```
QQuaternion QQuaternion.__mul__ (self, QQuaternion q2)
```
[](qquaternion.html)
```
QQuaternion QQuaternion.__mul__ (self, QQuaternion quaternion)
```
[](qquaternion.html)
```
QQuaternion QQuaternion.__mul__ (self, float factor)
```
[
```
bool QQuaternion.__ne__ (self, QQuaternion q2)
```
](qquaternion.html)
```
QQuaternion QQuaternion.__neg__ (self)
```
[
```
str QQuaternion.__repr__ (self)
```
](qquaternion.html)
```
QQuaternion QQuaternion.__sub__ (self, QQuaternion q2)
```
[](qquaternion.html)
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- QPyNullVariant Class Reference
- QPyTextObject Class Reference
- QQuaternion Class Reference
- QRadialGradient Class Reference
- QRadioButton Class Reference
- QRawFont Class Reference
- QReadLocker Class Reference
- QReadWriteLock Class Reference
- QRect Class Reference
- QRectF Class Reference
- QRegExp Class Reference
- QRegExpValidator Class Reference
- QRegion Class Reference
- QResizeEvent Class Reference
- QResource Class Reference
- QRubberBand Class Reference
- QRunnable Class Reference
- QScriptClass Class Reference
- QScriptClassPropertyIterator Class Reference
- QScriptContext Class Reference
- QScriptContextInfo Class Reference
- QScriptEngine Class Reference
- QScriptEngineAgent Class Reference
- QScriptEngineDebugger Class Reference
- QScriptString Class Reference
- QScriptSyntaxCheckResult Class Reference
- QScriptValue Class Reference
- QScriptValueIterator Class Reference
- QScrollArea Class Reference
- QScrollBar Class Reference
- QSemaphore Class Reference
- QSequentialAnimationGroup Class Reference
- QSessionManager Class Reference
- QSettings Class Reference
- QSharedMemory Class Reference
- QShortcut Class Reference
- QShortcutEvent Class Reference
- QShowEvent Class Reference
- QSignalMapper Class Reference
- QSignalTransition Class Reference
- QSimpleXmlNodeModel Class Reference
- QSize Class Reference
- QSizeF Class Reference
- QSizeGrip Class Reference
- QSizePolicy Class Reference
- QSlider Class Reference
- QSocketNotifier Class Reference
- QSortFilterProxyModel Class Reference
- QSound Class Reference
- QSourceLocation Class Reference
- QSpacerItem Class Reference
- QSpinBox Class Reference
- QSplashScreen Class Reference
- QSplitter Class Reference
- QSplitterHandle Class Reference
- QSql Class Reference
- QSqlDatabase Class Reference
- QSqlDriver Class Reference
- QSqlDriverCreatorBase Class Reference
- QSqlError Class Reference
- QSqlField Class Reference
- QSqlIndex Class Reference
- QSqlQuery Class Reference
- QSqlQueryModel Class Reference
- QSqlRecord Class Reference
- QSqlRelation Class Reference
- QSqlRelationalDelegate Class Reference
- QSqlRelationalTableModel Class Reference
- QSqlResult Class Reference
- QSqlTableModel Class Reference
- Qt4.7文档翻译：Qt样式单参考,Qt Style Sheets Reference
- QSsl Class Reference
- QSslCertificate Class Reference
- QSslCipher Class Reference
- QSslConfiguration Class Reference
- QSslError Class Reference
- QSslKey Class Reference
- QSslSocket Class Reference
- QStackedLayout Class Reference
- QStackedWidget Class Reference
- QStandardItem Class Reference
- QStandardItemModel Class Reference
- QState Class Reference
- QStateMachine Class Reference
- QStaticText Class Reference
- QStatusBar Class Reference
- QStatusTipEvent Class Reference
- QString Class Reference
- QStringList Class Reference
- QStringListModel Class Reference
- QStringMatcher Class Reference
- QStringRef Class Reference
- QStyle Class Reference
- QStyledItemDelegate Class Reference
- QStyleFactory Class Reference
- QStyleHintReturn Class Reference
- QStyleHintReturnMask Class Reference
- QStyleHintReturnVariant Class Reference
- QStyleOption Class Reference
- QStyleOptionButton Class Reference
- QStyleOptionComboBox Class Reference
- QStyleOptionComplex Class Reference
- QStyleOptionDockWidget Class Reference
- QStyleOptionDockWidgetV2 Class Reference
- QStyleOptionFocusRect Class Reference
- QStyleOptionFrame Class Reference
- QStyleOptionFrameV2 Class Reference
- QStyleOptionFrameV3 Class Reference
- QStyleOptionGraphicsItem Class Reference
- QStyleOptionGroupBox Class Reference
- QStyleOptionHeader Class Reference
- QStyleOptionMenuItem Class Reference
- QStyleOptionProgressBar Class Reference
- QStyleOptionProgressBarV2 Class Reference
- QStyleOptionRubberBand Class Reference
- QStyleOptionSizeGrip Class Reference
- QStyleOptionSlider Class Reference
- QStyleOptionSpinBox Class Reference
- QStyleOptionTab Class Reference
- QStyleOptionTabBarBase Class Reference
- QStyleOptionTabBarBaseV2 Class Reference
- QStyleOptionTabV2 Class Reference
- QStyleOptionTabV3 Class Reference
- QStyleOptionTabWidgetFrame Class Reference
- QStyleOptionTabWidgetFrameV2 Class Reference
- QStyleOptionTitleBar Class Reference
- QStyleOptionToolBar Class Reference
- QStyleOptionToolBox Class Reference
- QStyleOptionToolBoxV2 Class Reference
- QStyleOptionToolButton Class Reference
- QStyleOptionViewItem Class Reference
- QStyleOptionViewItemV2 Class Reference
- QStyleOptionViewItemV3 Class Reference
- QStyleOptionViewItemV4 Class Reference
- QStylePainter Class Reference
- QSvgGenerator Class Reference
- QSvgRenderer Class Reference
- QSvgWidget Class Reference
- QSwipeGesture Class Reference
- QSyntaxHighlighter Class Reference
- QSysInfo Class Reference
- QSystemLocale Class Reference
- QSystemSemaphore Class Reference
- QSystemTrayIcon Class Reference
- Qt Class Reference
- QTabBar Class Reference
- QTabletEvent Class Reference
- QTableView Class Reference
- QTableWidget Class Reference
- QTableWidgetItem Class Reference
- QTableWidgetSelectionRange Class Reference
- QTabWidget Class Reference
- QTapAndHoldGesture Class Reference
- QTapGesture Class Reference
- QTcpServer Class Reference
- QTcpSocket Class Reference
- QTemporaryFile Class Reference
- QTest Class Reference
- QTextBlock Class Reference
- QTextBlockFormat Class Reference
- QTextBlockGroup Class Reference
- QTextBlockUserData Class Reference
- QTextBoundaryFinder Class Reference
- QTextBrowser Class Reference
- QTextCharFormat Class Reference
- QTextCodec Class Reference
- QTextCursor Class Reference
- QTextDecoder Class Reference
- QTextDocument Class Reference
- QTextDocumentFragment Class Reference
- QTextDocumentWriter Class Reference
- QTextEdit Class Reference
- QTextEncoder Class Reference
- QTextFormat Class Reference
- QTextFragment Class Reference
- QTextFrame Class Reference
- QTextFrameFormat Class Reference
- QTextImageFormat Class Reference
- QTextInlineObject Class Reference
- QTextItem Class Reference
- QTextLayout Class Reference
- QTextLength Class Reference
- QTextLine Class Reference
- QTextList Class Reference
- QTextListFormat Class Reference
- QTextObject Class Reference
- QTextObjectInterface Class Reference
- QTextOption Class Reference
- QTextStream Class Reference
- QTextTable Class Reference
- QTextTableCell Class Reference
- QTextTableCellFormat Class Reference
- QTextTableFormat Class Reference
- QThread Class Reference
- QThreadPool Class Reference
- QTime Class Reference
- QTimeEdit Class Reference
- QTimeLine Class Reference
- QTimer Class Reference
- QTimerEvent Class Reference
- QToolBar Class Reference
- QToolBox Class Reference
- QToolButton Class Reference
- QToolTip Class Reference
- QTouchEvent Class Reference
- Reference
- QTransform Class Reference
- QTranslator Class Reference
- QTreeView Class Reference
- QTreeWidget Class Reference
- QTreeWidgetItem Class Reference
- QTreeWidgetItemIterator Class Reference
- QUdpSocket Class Reference
- QUndoCommand Class Reference
- QUndoGroup Class Reference
- QUndoStack Class Reference
- QUndoView Class Reference
- QUrl Class Reference
- QUrlInfo Class Reference
- QUuid Class Reference
- QValidator Class Reference
- QVariant Class Reference
- QVariantAnimation Class Reference
- QVBoxLayout Class Reference
- QVector2D Class Reference
- QVector3D Class Reference
- QVector4D Class Reference
- QVideoFrame Class Reference
- QVideoSurfaceFormat Class Reference
- QWaitCondition Class Reference
- QWebDatabase Class Reference
- QWebElement Class Reference
- QWebElementCollection Class Reference
- QWebFrame Class Reference
- QWebHistory Class Reference
- QWebHistoryInterface Class Reference
- QWebHistoryItem Class Reference
- QWebHitTestResult Class Reference
- QWebInspector Class Reference
- QWebPage Class Reference
- QWebPluginFactory Class Reference
- QWebSecurityOrigin Class Reference
- QWebSettings Class Reference
- QWebView Class Reference
- QWhatsThis Class Reference
- QWhatsThisClickedEvent Class Reference
- QWheelEvent Class Reference
- QWidget Class Reference
- QWidgetAction Class Reference
- QWidgetItem Class Reference
- QWindowStateChangeEvent Class Reference
- QWizard Class Reference
- QWizardPage Class Reference
- QWorkspace Class Reference
- QWriteLocker Class Reference
- QX11EmbedContainer Class Reference
- QX11EmbedWidget Class Reference
- QX11Info Class Reference
- QXmlAttributes Class Reference
- QXmlContentHandler Class Reference
- QXmlDeclHandler Class Reference
- QXmlDefaultHandler Class Reference
- QXmlDTDHandler Class Reference
- QXmlEntityResolver Class Reference
- QXmlErrorHandler Class Reference
- QXmlFormatter Class Reference
- QXmlInputSource Class Reference
- QXmlItem Class Reference
- QXmlLexicalHandler Class Reference
- QXmlLocator Class Reference
- QXmlName Class Reference
- QXmlNamePool Class Reference
- QXmlNamespaceSupport Class Reference
- QXmlNodeModelIndex Class Reference
- QXmlParseException Class Reference
- QXmlQuery Class Reference
- QXmlReader Class Reference
- QXmlResultItems Class Reference
- QXmlSchema Class Reference
- QXmlSchemaValidator Class Reference
- QXmlSerializer Class Reference
- QXmlSimpleReader Class Reference
- QXmlStreamAttribute Class Reference
- QXmlStreamAttributes Class Reference
- QXmlStreamEntityDeclaration Class Reference
- QXmlStreamEntityResolver Class Reference
- QXmlStreamNamespaceDeclaration Class Reference
- QXmlStreamNotationDeclaration Class Reference
- QXmlStreamReader Class Reference
- QXmlStreamWriter Class Reference