QMatrix4x4 Class Reference

[ QtGui module]

The QMatrix4x4 class represents a 4x4 transformation matrix in 3D space. 更多...

方法

Special Methods


详细描述

This class can be pickled.

The QMatrix4x4 class represents a 4x4 transformation matrix in 3D space.


方法文档编制

QMatrix4x4.__init__ ( self )

构造恒等矩阵。

QMatrix4x4.__init__ ( self , sequence-of-float  values )

Constructs a matrix from the given 16 floating-point values . The contents of the array values is assumed to be in row-major order.

If the matrix has a special type (identity, translate, scale, etc), the programmer should follow this constructor with a call to optimize () if they wish QMatrix4x4 to optimize further calls to translate (), scale (),等。

另请参阅 copyDataTo () 和 optimize ().

QMatrix4x4.__init__ ( self , float  m11 , float  m12 , float  m13 , float  m14 , float  m21 , float  m22 , float  m23 , float  m24 , float  m31 , float  m32 , float  m33 , float  m34 , float  m41 , float  m42 , float  m43 , float  m44 )

Constructs a matrix from the 16 elements m11 , m12 , m13 , m14 , m21 , m22 , m23 , m24 , m31 , m32 , m33 , m34 , m41 , m42 , m43 ,和 m44 . The elements are specified in row-major order.

If the matrix has a special type (identity, translate, scale, etc), the programmer should follow this constructor with a call to optimize () if they wish QMatrix4x4 to optimize further calls to translate (), scale (),等。

另请参阅 optimize ().

QMatrix4x4.__init__ ( self , QTransform   transform )

Constructs a 4x4 matrix from the left-most 4 columns and top-most 4 rows of matrix 。若 matrix has less than 4 columns or rows, the remaining elements are filled with elements from the identity matrix.

另请参阅 toGenericMatrix ().

QMatrix4x4.__init__ ( self , QMatrix   matrix )

QMatrix4x4.__init__ ( self , QMatrix4x4 )

Constructs a 4x4 matrix from the conventional Qt 2D transformation matrix transform .

transform has a special type (identity, translate, scale, etc), the programmer should follow this constructor with a call to optimize () if they wish QMatrix4x4 to optimize further calls to translate (), scale (),等。

另请参阅 toTransform () 和 optimize ().

QVector4D QMatrix4x4.column ( self , int  index )

Returns the elements of column index as a 4D vector.

另请参阅 setColumn () 和 row ().

list-of-float QMatrix4x4.copyDataTo ( self )

Retrieves the 16 items in this matrix and copies them to values in row-major order.

list-of-float QMatrix4x4.data ( self )

Returns a pointer to the raw data of this matrix.

另请参阅 constData () 和 optimize ().

float QMatrix4x4.determinant ( self )

Returns the determinant of this matrix.

QMatrix4x4.fill ( self , float  value )

Fills all elements of this matrx with value .

QMatrix4x4.flipCoordinates ( self )

Flips between right-handed and left-handed coordinate systems by multiplying the y and z co-ordinates by -1. This is normally used to create a left-handed orthographic view without scaling the viewport as ortho () 做。

另请参阅 ortho ().

QMatrix4x4.frustum ( self , float  left , float  right , float  bottom , float  top , float  nearPlane , float  farPlane )

Multiplies this matrix by another that applies a perspective frustum projection for a window with lower-left corner ( left , bottom ), upper-right corner ( right , top ), and the specified nearPlane and farPlane clipping planes.

另请参阅 ortho () 和 perspective ().

( QMatrix4x4 , bool  invertible ) QMatrix4x4.inverted ( self )

Returns the inverse of this matrix. Returns the identity if this matrix cannot be inverted; i.e. determinant () is zero. If invertible is not null, then true will be written to that location if the matrix can be inverted; false otherwise.

If the matrix is recognized as the identity or an orthonormal matrix, then this function will quickly invert the matrix using optimized routines.

另请参阅 determinant () 和 normalMatrix ().

bool QMatrix4x4.isIdentity ( self )

Returns true if this matrix is the identity; false 否则。

另请参阅 setToIdentity ().

QMatrix4x4.lookAt ( self , QVector3D   eye , QVector3D   center , QVector3D   up )

Multiplies this matrix by another that applies an eye position transformation. The center value indicates the center of the view that the eye is looking at. The up value indicates which direction should be considered up with respect to the eye .

QPoint QMatrix4x4.map ( self , QPoint   point )

Maps point by multiplying this matrix by point .

另请参阅 mapRect ().

QPointF QMatrix4x4.map ( self , QPointF   point )

Maps point by multiplying this matrix by point .

另请参阅 mapRect ().

QVector3D QMatrix4x4.map ( self , QVector3D   point )

Maps point by multiplying this matrix by point .

另请参阅 mapRect () and mapVector ().

QVector4D QMatrix4x4.map ( self , QVector4D   point )

Maps point by multiplying this matrix by point .

另请参阅 mapRect ().

QRect QMatrix4x4.mapRect ( self , QRect   rect )

Maps rect by multiplying this matrix by the corners of rect and then forming a new rectangle from the results. The returned rectangle will be an ordinary 2D rectangle with sides parallel to the horizontal and vertical axes.

另请参阅 map ().

QRectF QMatrix4x4.mapRect ( self , QRectF   rect )

Maps rect by multiplying this matrix by the corners of rect and then forming a new rectangle from the results. The returned rectangle will be an ordinary 2D rectangle with sides parallel to the horizontal and vertical axes.

另请参阅 map ().

QVector3D QMatrix4x4.mapVector ( self , QVector3D   vector )

Maps vector by multiplying the top 3x3 portion of this matrix by vector . The translation and projection components of this matrix are ignored.

另请参阅 map ().

QMatrix3x3 QMatrix4x4.normalMatrix ( self )

Returns the normal matrix corresponding to this 4x4 transformation. The normal matrix is the transpose of the inverse of the top-left 3x3 part of this 4x4 matrix. If the 3x3 sub-matrix is not invertible, this function returns the identity.

另请参阅 inverted ().

QMatrix4x4.optimize ( self )

Optimize the usage of this matrix from its current elements.

Some operations such as translate (), scale (),和 rotate () can be performed more efficiently if the matrix being modified is already known to be the identity, a previous translate (), a previous scale (),等。

Normally the QMatrix4x4 class keeps track of this special type internally as operations are performed. However, if the matrix is modified directly with operator()() or data (), then QMatrix4x4 will lose track of the special type and will revert to the safest but least efficient operations thereafter.

By calling optimize() after directly modifying the matrix, the programmer can force QMatrix4x4 to recover the special type if the elements appear to conform to one of the known optimized types.

另请参阅 operator ()(), data (),和 translate ().

QMatrix4x4.ortho ( self , QRect   rect )

Multiplies this matrix by another that applies an orthographic projection for a window with lower-left corner ( left , bottom ), upper-right corner ( right , top ), and the specified nearPlane and farPlane clipping planes.

另请参阅 frustum () and perspective ().

QMatrix4x4.ortho ( self , QRectF   rect )

这是重载函数。

Multiplies this matrix by another that applies an orthographic projection for a window with boundaries specified by rect . The near and far clipping planes will be -1 and 1 respectively.

另请参阅 frustum () and perspective ().

QMatrix4x4.ortho ( self , float  left , float  right , float  bottom , float  top , float  nearPlane , float  farPlane )

这是重载函数。

Multiplies this matrix by another that applies an orthographic projection for a window with boundaries specified by rect . The near and far clipping planes will be -1 and 1 respectively.

另请参阅 frustum () and perspective ().

QMatrix4x4.perspective ( self , float  angle , float  aspect , float  nearPlane , float  farPlane )

Multiplies this matrix by another that applies a perspective projection. The field of view will be angle degrees within a window with a given aspect ratio. The projection will have the specified nearPlane and farPlane clipping planes.

另请参阅 ortho () 和 frustum ().

QMatrix4x4.rotate ( self , float  angle , QVector3D   vector )

Multiples this matrix by another that rotates coordinates through angle degrees about vector .

另请参阅 scale () 和 translate ().

QMatrix4x4.rotate ( self , float  angle , float  x , float  y , float  z  = 0)

Multiples this matrix by another that rotates coordinates according to a specified quaternion quaternion is assumed to have been normalized.

另请参阅 scale (), translate (),和 QQuaternion .

QMatrix4x4.rotate ( self , QQuaternion   quaternion )

这是重载函数。

Multiplies this matrix by another that rotates coordinates through angle degrees about the vector ( x , y , z ).

另请参阅 scale () 和 translate ().

QVector4D QMatrix4x4.row ( self , int  index )

Returns the elements of row index as a 4D vector.

另请参阅 setRow () and column ().

QMatrix4x4.scale ( self , QVector3D   vector )

Multiplies this matrix by another that scales coordinates by the components of vector .

另请参阅 translate () 和 rotate ().

QMatrix4x4.scale ( self , float  x , float  y )

这是重载函数。

Multiplies this matrix by another that scales coordinates by the components x ,和 y .

另请参阅 translate () 和 rotate ().

QMatrix4x4.scale ( self , float  x , float  y , float  z )

这是重载函数。

Multiplies this matrix by another that scales coordinates by the components x , y ,和 z .

另请参阅 translate () 和 rotate ().

QMatrix4x4.scale ( self , float  factor )

这是重载函数。

Multiplies this matrix by another that scales coordinates by the given factor .

另请参阅 translate () 和 rotate ().

QMatrix4x4.setColumn ( self , int  index , QVector4D   value )

Sets the elements of column index to the components of value .

另请参阅 column () and setRow ().

QMatrix4x4.setRow ( self , int  index , QVector4D   value )

Sets the elements of row index to the components of value .

另请参阅 row () 和 setColumn ().

QMatrix4x4.setToIdentity ( self )

将此矩阵设为恒等。

另请参阅 isIdentity ().

QMatrix QMatrix4x4.toAffine ( self )

Returns the conventional Qt 2D affine transformation matrix that corresponds to this matrix. It is assumed that this matrix only contains 2D affine transformation elements.

另请参阅 toTransform ().

QTransform QMatrix4x4.toTransform ( self )

Returns the conventional Qt 2D transformation matrix that corresponds to this matrix.

返回的 QTransform is formed by simply dropping the third row and third column of the QMatrix4x4 . This is suitable for implementing orthographic projections where the z co-ordinate should be dropped rather than projected.

另请参阅 toAffine ().

QTransform QMatrix4x4.toTransform ( self , float  distanceToPlane )

Returns the conventional Qt 2D transformation matrix that corresponds to this matrix.

distanceToPlane is non-zero, it indicates a projection factor to use to adjust for the z co-ordinate. The value of 1024 corresponds to the projection factor used by QTransform.rotate () for the x and y axes.

distanceToPlane is zero, then the returned QTransform is formed by simply dropping the third row and third column of the QMatrix4x4 . This is suitable for implementing orthographic projections where the z co-ordinate should be dropped rather than projected.

另请参阅 toAffine ().

QMatrix4x4.translate ( self , QVector3D   vector )

Multiplies this matrix by another that translates coordinates by the components of vector .

另请参阅 scale () 和 rotate ().

QMatrix4x4.translate ( self , float  x , float  y )

这是重载函数。

Multiplies this matrix by another that translates coordinates by the components x ,和 y .

另请参阅 scale () 和 rotate ().

QMatrix4x4.translate ( self , float  x , float  y , float  z )

这是重载函数。

Multiplies this matrix by another that translates coordinates by the components x , y ,和 z .

另请参阅 scale () 和 rotate ().

QMatrix4x4 QMatrix4x4.transposed ( self )

Returns this matrix, transposed about its diagonal.

QMatrix4x4 QMatrix4x4.__add__ ( self , QMatrix4x4   m2 )

QMatrix4x4 QMatrix4x4.__div__ ( self , float  divisor )

bool QMatrix4x4.__eq__ ( self , QMatrix4x4   other )

object QMatrix4x4.__getitem__ ( self , object)

QMatrix4x4 QMatrix4x4.__iadd__ ( self , QMatrix4x4   other )

QMatrix4x4 QMatrix4x4.__idiv__ ( self , float  divisor )

QMatrix4x4 QMatrix4x4.__imul__ ( self , QMatrix4x4   other )

QMatrix4x4 QMatrix4x4.__imul__ ( self , float  factor )

QMatrix4x4 QMatrix4x4.__isub__ ( self , QMatrix4x4   other )

QMatrix4x4 QMatrix4x4.__mul__ ( self , QMatrix4x4   m2 )

QVector3D QMatrix4x4.__mul__ ( self , QVector3D   vector )

QVector4D QMatrix4x4.__mul__ ( self , QVector4D   vector )

QPoint QMatrix4x4.__mul__ ( self , QPoint   point )

QPointF QMatrix4x4.__mul__ ( self , QPointF   point )

QMatrix4x4 QMatrix4x4.__mul__ ( self , QMatrix4x4   matrix )

QMatrix4x4 QMatrix4x4.__mul__ ( self , float  factor )

bool QMatrix4x4.__ne__ ( self , QMatrix4x4   other )

QMatrix4x4 QMatrix4x4.__neg__ ( self )

str QMatrix4x4.__repr__ ( self )

QMatrix4x4.__setitem__ ( self , object, float)

QMatrix4x4 QMatrix4x4.__sub__ ( self , QMatrix4x4   m2 )