QMatrix4x4 ¶

概要 ¶

详细描述 ¶

QMatrix4x4 class in general is treated as a row-major matrix, in that the constructors and operator() functions take data in row-major format, as is familiar in C-style usage.

Internally the data is stored as column-major format, so as to be optimal for passing to OpenGL functions, which expect column-major data.

When using these functions be aware that they return data in column-major format:

• data()

• constData()

另请参阅

QVector3D QGenericMatrix

class QMatrix4x4 ¶

QMatrix4x4(matrix)

QMatrix4x4(transform)

QMatrix4x4(values)

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

param m43

float

param m44

float

param m31

float

param m32

float

param m33

float

param m34

float

param transform

QTransform

param m21

float

param m22

float

param m23

float

param m24

float

param m11

float

param m12

float

param m13

float

param m14

float

param values

float

param matrix

QMatrix

param m41

float

param m42

float

构造恒等矩阵。

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() optimize()

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()

PySide2.QtGui.QMatrix4x4. enum_383 ¶

PySide2.QtGui.QMatrix4x4. __dummy ( arg__1 ) ¶

参数

arg__1 –

PySide2.QtGui.QMatrix4x4. __mgetitem__ ( ) ¶

返回类型

PyObject

PySide2.QtGui.QMatrix4x4. __reduce__ ( ) ¶

返回类型

PyObject

PySide2.QtGui.QMatrix4x4. __repr__ ( ) ¶

返回类型

PyObject

PySide2.QtGui.QMatrix4x4. column ( index ) ¶

参数

index – int

返回类型

QVector4D

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

另请参阅

setColumn() row()

PySide2.QtGui.QMatrix4x4. copyDataTo ( ) ¶

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

PySide2.QtGui.QMatrix4x4. determinant ( ) ¶

返回类型

double

Returns the determinant of this matrix.

PySide2.QtGui.QMatrix4x4. fill ( value ) ¶

参数

value – float

Fills all elements of this matrx with value .

PySide2.QtGui.QMatrix4x4. flipCoordinates ( ) ¶

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() does.

另请参阅

ortho()

PySide2.QtGui.QMatrix4x4. frustum ( left , right , bottom , top , nearPlane , farPlane ) ¶

参数

• left – float

• right – float

• bottom – float

• top – float

• nearPlane – float

• farPlane – float

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() perspective()

PySide2.QtGui.QMatrix4x4. inverted ( ) ¶

返回类型

PyTuple

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() normalMatrix()

PySide2.QtGui.QMatrix4x4. isAffine ( ) ¶

返回类型

bool

返回 true if this matrix is affine matrix; false otherwise.

An affine matrix is a 4x4 matrix with row 3 equal to (0, 0, 0, 1), e.g. no projective coefficients.

另请参阅

isIdentity()

PySide2.QtGui.QMatrix4x4. isIdentity ( ) ¶

返回类型

bool

返回 true if this matrix is the identity; false otherwise.

另请参阅

setToIdentity()

PySide2.QtGui.QMatrix4x4. lookAt ( eye , center , up ) ¶

参数

• eye – QVector3D

• center – QVector3D

• up – QVector3D

Multiplies this matrix by a viewing matrix derived from an eye point. 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 .

注意

up vector must not be parallel to the line of sight from eye to center .

PySide2.QtGui.QMatrix4x4. map ( point ) ¶

参数

point – QPoint

返回类型

QPoint

PySide2.QtGui.QMatrix4x4. map ( point ) ¶

参数

point – QPointF

返回类型

QPointF

PySide2.QtGui.QMatrix4x4. map ( point ) ¶

参数

point – QVector3D

返回类型

QVector3D

PySide2.QtGui.QMatrix4x4. map ( point ) ¶

参数

point – QVector4D

返回类型

QVector4D

PySide2.QtGui.QMatrix4x4. mapRect ( rect ) ¶

参数

rect – QRect

返回类型

QRect

PySide2.QtGui.QMatrix4x4. mapRect ( rect ) ¶

参数

rect – QRectF

返回类型

QRectF

PySide2.QtGui.QMatrix4x4. mapVector ( vector ) ¶

参数

vector – QVector3D

返回类型

QVector3D

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()

PySide2.QtGui.QMatrix4x4. normalMatrix ( ) ¶

返回类型

QMatrix3x3

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()

PySide2.QtGui.QMatrix4x4. __ne__ ( other ) ¶

参数

other – QMatrix4x4

返回类型

bool

返回 true if this matrix is not identical to other ; false otherwise. This operator uses an exact floating-point comparison.

PySide2.QtGui.QMatrix4x4. __mul__ ( factor ) ¶

参数

factor – float

返回类型

QMatrix4x4

PySide2.QtGui.QMatrix4x4. __mul__ ( m2 ) ¶

参数

m2 – QMatrix4x4

返回类型

QMatrix4x4

PySide2.QtGui.QMatrix4x4. __mul__ ( factor ) ¶

参数

factor – float

返回类型

QMatrix4x4

PySide2.QtGui.QMatrix4x4. __imul__ ( other ) ¶

参数

other – QMatrix4x4

返回类型

QMatrix4x4

PySide2.QtGui.QMatrix4x4. __imul__ ( factor ) ¶

参数

factor – float

返回类型

QMatrix4x4

这是重载函数。

Multiplies all elements of this matrix by factor .

PySide2.QtGui.QMatrix4x4. __add__ ( m2 ) ¶

参数

m2 – QMatrix4x4

返回类型

QMatrix4x4

PySide2.QtGui.QMatrix4x4. __iadd__ ( other ) ¶

参数

other – QMatrix4x4

返回类型

QMatrix4x4

Adds the contents of other to this matrix.

PySide2.QtGui.QMatrix4x4. __sub__ ( ) ¶

返回类型

QMatrix4x4

PySide2.QtGui.QMatrix4x4. __sub__ ( m2 ) ¶

参数

m2 – QMatrix4x4

返回类型

QMatrix4x4

这是重载函数。

Returns the negation of matrix .

PySide2.QtGui.QMatrix4x4. __isub__ ( other ) ¶

参数

other – QMatrix4x4

返回类型

QMatrix4x4

Subtracts the contents of other from this matrix.

PySide2.QtGui.QMatrix4x4. __div__ ( divisor ) ¶

参数

divisor – float

返回类型

QMatrix4x4

PySide2.QtGui.QMatrix4x4. __idiv__ ( divisor ) ¶

参数

divisor – float

返回类型

QMatrix4x4

这是重载函数。

Divides all elements of this matrix by divisor .

PySide2.QtGui.QMatrix4x4. __eq__ ( other ) ¶

参数

other – QMatrix4x4

返回类型

bool

返回 true if this matrix is identical to other ; false otherwise. This operator uses an exact floating-point comparison.

PySide2.QtGui.QMatrix4x4. optimize ( ) ¶

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() }{ operator() ()} or data() ，那么 QMatrix4x4 will lose track of the special type and will revert to the safest but least efficient operations thereafter.

By calling 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() translate()

PySide2.QtGui.QMatrix4x4. ortho ( rect ) ¶

参数

rect – QRect

PySide2.QtGui.QMatrix4x4. ortho ( rect ) ¶

参数

rect – QRectF

PySide2.QtGui.QMatrix4x4. ortho ( left , right , bottom , top , nearPlane , farPlane ) ¶

参数

• left – float

• right – float

• bottom – float

• top – float

• nearPlane – float

• farPlane – float

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() perspective()

PySide2.QtGui.QMatrix4x4. perspective ( verticalAngle , aspectRatio , nearPlane , farPlane ) ¶

参数

• verticalAngle – float

• aspectRatio – float

• nearPlane – float

• farPlane – float

Multiplies this matrix by another that applies a perspective projection. The vertical field of view will be verticalAngle degrees within a window with a given aspectRatio that determines the horizontal field of view. The projection will have the specified nearPlane and farPlane clipping planes which are the distances from the viewer to the corresponding planes.

另请参阅

ortho() frustum()

PySide2.QtGui.QMatrix4x4. rotate ( quaternion ) ¶

参数

quaternion – QQuaternion

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() QQuaternion

PySide2.QtGui.QMatrix4x4. rotate ( angle , x , y [ , z=0.0f ] ) ¶

参数

• angle – float

• x – float

• y – float

• z – float

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() translate()

PySide2.QtGui.QMatrix4x4. rotate ( angle , vector ) ¶

参数

• angle – float

• vector – QVector3D

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

另请参阅

scale() translate()

PySide2.QtGui.QMatrix4x4. row ( index ) ¶

参数

index – int

返回类型

QVector4D

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

另请参阅

setRow() column()

PySide2.QtGui.QMatrix4x4. scale ( vector ) ¶

参数

vector – QVector3D

PySide2.QtGui.QMatrix4x4. scale ( factor ) ¶

参数

factor – float

这是重载函数。

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

另请参阅

translate() rotate()

PySide2.QtGui.QMatrix4x4. scale ( x , y ) ¶

参数

• x – float

• y – float

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() rotate()

PySide2.QtGui.QMatrix4x4. scale ( x , y , z ) ¶

参数

• x – float

• y – float

• z – float

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() rotate()

PySide2.QtGui.QMatrix4x4. setColumn ( index , value ) ¶

参数

• index – int

• value – QVector4D

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

另请参阅

column() setRow()

PySide2.QtGui.QMatrix4x4. setRow ( index , value ) ¶

参数

• index – int

• value – QVector4D

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

另请参阅

row() setColumn()

PySide2.QtGui.QMatrix4x4. setToIdentity ( ) ¶

将此矩阵设为恒等。

另请参阅

isIdentity()

PySide2.QtGui.QMatrix4x4. toAffine ( ) ¶

返回类型

QMatrix

注意

此函数被弃用。

使用 toTransform() 代替。

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()

PySide2.QtGui.QMatrix4x4. toTransform ( ) ¶

返回类型

QTransform

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()

PySide2.QtGui.QMatrix4x4. toTransform ( distanceToPlane ) ¶

参数

distanceToPlane – float

返回类型

QTransform

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

若 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 rotate() for the x and y axes.

若 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()

PySide2.QtGui.QMatrix4x4. translate ( vector ) ¶

参数

vector – QVector3D

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

另请参阅

scale() rotate()

PySide2.QtGui.QMatrix4x4. translate ( x , y ) ¶

参数

• x – float

• y – float

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() rotate()

PySide2.QtGui.QMatrix4x4. translate ( x , y , z ) ¶

参数

• x – float

• y – float

• z – float

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() rotate()

PySide2.QtGui.QMatrix4x4. transposed ( ) ¶

返回类型

QMatrix4x4

Returns this matrix, transposed about its diagonal.

PySide2.QtGui.QMatrix4x4. 视口 ( rect ) ¶

参数

rect – QRectF

这是重载函数。

Sets up viewport transform for viewport bounded by rect and with near and far set to 0 and 1 respectively.

PySide2.QtGui.QMatrix4x4. 视口 ( left , bottom , width , height [ , nearPlane=0.0f [ , farPlane=1.0f ] ] ) ¶

参数

• left – float

• bottom – float

• width – float

• height – float

• nearPlane – float

• farPlane – float

Multiplies this matrix by another that performs the scale and bias transformation used by OpenGL to transform from normalized device coordinates (NDC) to viewport (window) coordinates. That is it maps points from the cube ranging over [-1, 1] in each dimension to the viewport with it’s near-lower-left corner at ( left , bottom , nearPlane ) and with size ( width , height , farPlane - nearPlane ).

This matches the transform used by the fixed function OpenGL viewport transform controlled by the functions glViewport() and glDepthRange().