QTransform 類

QTransform 類指定坐標係的 2D 變換。 更多...

頭: #include <QTransform>
qmake: QT += gui
Since: Qt 4.3

該類在 Qt 4.3 引入。

公共類型

enum TransformationType { TxNone, TxTranslate, TxScale, TxRotate, TxShear, TxProject }

公共函數

QTransform (qreal m11 , qreal m12 , qreal m21 , qreal m22 , qreal dx , qreal dy )
QTransform (qreal m11 , qreal m12 , qreal m13 , qreal m21 , qreal m22 , qreal m23 , qreal m31 , qreal m32 , qreal m33 = 1.0)
QTransform ()
QTransform & operator= (const QTransform & matrix )
qreal m11 () const
qreal m12 () const
qreal m13 () const
qreal m21 () const
qreal m22 () const
qreal m23 () const
qreal m31 () const
qreal m32 () const
qreal m33 () const
QTransform adjoint () const
qreal determinant () const
qreal dx () const
qreal dy () const
QTransform inverted (bool * invertible = nullptr) const
bool isAffine () const
bool isIdentity () const
bool isInvertible () const
bool isRotating () const
bool isScaling () const
bool isTranslating () const
void map (qreal x , qreal y , qreal * tx , qreal * ty ) const
QPoint map (const QPoint & point ) const
QPointF map (const QPointF & p ) const
QLine map (const QLine & l ) const
QLineF map (const QLineF & line ) const
QPolygonF map (const QPolygonF & polygon ) const
QPolygon map (const QPolygon & polygon ) const
QRegion map (const QRegion & region ) const
QPainterPath map (const QPainterPath & path ) const
void map (int x , int y , int * tx , int * ty ) const
QRectF mapRect (const QRectF & rectangle ) const
QRect mapRect (const QRect & rectangle ) const
QPolygon mapToPolygon (const QRect & rectangle ) const
void reset ()
QTransform & rotate (qreal angle , Qt::Axis axis = Qt::ZAxis)
QTransform & rotateRadians (qreal angle , Qt::Axis axis = Qt::ZAxis)
QTransform & scale (qreal sx , qreal sy )
void setMatrix (qreal m11 , qreal m12 , qreal m13 , qreal m21 , qreal m22 , qreal m23 , qreal m31 , qreal m32 , qreal m33 )
QTransform & shear (qreal sh , qreal sv )
QTransform & translate (qreal dx , qreal dy )
QTransform transposed () const
QTransform::TransformationType type () const
QVariant operator QVariant () const
bool operator!= (const QTransform & matrix ) const
QTransform operator* (const QTransform & matrix ) const
QTransform & operator*= (const QTransform & matrix )
QTransform & operator*= (qreal scalar )
QTransform & operator+= (qreal scalar )
QTransform & operator-= (qreal scalar )
QTransform & operator/= (qreal scalar )
bool operator== (const QTransform & matrix ) const

靜態公共成員

QTransform fromScale (qreal sx , qreal sy )
QTransform fromTranslate (qreal dx , qreal dy )
bool quadToQuad (const QPolygonF & one , const QPolygonF & two , QTransform & trans )
bool quadToSquare (const QPolygonF & quad , QTransform & trans )
bool squareToQuad (const QPolygonF & quad , QTransform & trans )
bool qFuzzyCompare (const QTransform & t1 , const QTransform & t2 )
uint qHash (const QTransform & key , uint seed = 0)
QPainterPath operator* (const QPainterPath & path , const QTransform & matrix )
QPoint operator* (const QPoint & point , const QTransform & matrix )
QPointF operator* (const QPointF & point , const QTransform & matrix )
QLineF operator* (const QLineF & line , const QTransform & matrix )
QLine operator* (const QLine & line , const QTransform & matrix )
QPolygon operator* (const QPolygon & polygon , const QTransform & matrix )
QPolygonF operator* (const QPolygonF & polygon , const QTransform & matrix )
QRegion operator* (const QRegion & region , const QTransform & matrix )
QDataStream & operator<< (QDataStream & stream , const QTransform & matrix )
QDataStream & operator>> (QDataStream & stream , QTransform & matrix )

詳細描述

變換指定如何平移、比例縮放、剪切、鏇轉或投影坐標係,且通常在渲染圖形時使用。

不同於 QMatrix, QTransform 是允許透視變換的真正 3 x 3 矩陣。QTransform 的 toAffine() 方法允許將 QTransform 鑄造成 QMatrix。若矩陣有指定透視圖變換,則轉換會導緻數據丟失。

QTransform 是 Qt 推薦的變換類。

可以構建 QTransform 對象使用 setMatrix (), scale (), rotate (), translate () 和 shear () 函數。另外,可以構建它通過應用 基本矩陣運算 。矩陣也可以在構造時定義,且可以把它重置為恒等矩陣 (默認) 使用 reset () 函數。

QTransform 類支持圖形原語的映射:可以將給定點、綫、多邊形、區域或描繪器路徑,映射到坐標係定義通過 this 矩陣使用 map () 函數。若是矩形,變換其坐標可以使用 mapRect () 函數。還可以將矩形變換成 polygon (映射到坐標係定義通過 this 矩陣),使用 mapToPolygon () 函數。

QTransform 提供 isIdentity () 函數其返迴 true 若矩陣是恒等矩陣,和 isInvertible () 函數其返迴 true if the matrix is non-singular (i.e. AB = BA = I). The inverted () function returns an inverted copy of this matrix if it is invertible (otherwise it returns the identity matrix), and adjoint () returns the matrix's classical adjoint. In addition, QTransform provides the determinant () function which returns the matrix's determinant.

Finally, the QTransform class supports matrix multiplication, addition and subtraction, and objects of the class can be streamed as well as compared.

渲染圖形

When rendering graphics, the matrix defines the transformations but the actual transformation is performed by the drawing routines in QPainter .

默認情況下, QPainter operates on the associated device's own coordinate system. The standard coordinate system of a QPaintDevice has its origin located at the top-left position. The x values increase to the right; y values increase downward. For a complete description, see the 坐標係 文檔編製。

QPainter has functions to translate, scale, shear and rotate the coordinate system without using a QTransform. For example:

void SimpleTransformation::paintEvent(QPaintEvent *)
{
    QPainter painter(this);
    painter.setPen(QPen(Qt::blue, 1, Qt::DashLine));
    painter.drawRect(0, 0, 100, 100);
    painter.rotate(45);
    painter.setFont(QFont("Helvetica", 24));
    painter.setPen(QPen(Qt::black, 1));
    painter.drawText(20, 10, "QTransform");
}
								

Although these functions are very convenient, it can be more efficient to build a QTransform and call QPainter::setTransform () if you want to perform more than a single transform operation. For example:

void CombinedTransformation::paintEvent(QPaintEvent *)
{
    QPainter painter(this);
    painter.setPen(QPen(Qt::blue, 1, Qt::DashLine));
    painter.drawRect(0, 0, 100, 100);
    QTransform transform;
    transform.translate(50, 50);
    transform.rotate(45);
    transform.scale(0.5, 1.0);
    painter.setTransform(transform);
    painter.setFont(QFont("Helvetica", 24));
    painter.setPen(QPen(Qt::black, 1));
    painter.drawText(20, 10, "QTransform");
}
								

基本矩陣運算

QTransform 對象包含 3 x 3 矩陣。 m31 ( dx ) 和 m32 ( dy ) 元素指定水平和垂直平移。 m11 and m22 元素指定水平和垂直比例縮放。 m21 and m12 elements specify horizontal and vertical shearing . And finally, the m13 and m23 elements specify horizontal and vertical projection, with m33 as an additional projection factor.

QTransform transforms a point in the plane to another point using the following formulas:

x' = m11*x + m21*y + dx
y' = m22*y + m12*x + dy
if (!isAffine()) {
    w' = m13*x + m23*y + m33
    x' /= w'
    y' /= w'
}
					

(x, y) 是原點,和 (x', y') is the transformed point. (x', y') can be transformed back to (x, y) by performing the same operation on the inverted () matrix.

The various matrix elements can be set when constructing the matrix, or by using the setMatrix () function later on. They can also be manipulated using the translate (), rotate (), scale () 和 shear () convenience functions. The currently set values can be retrieved using the m11 (), m12 (), m13 (), m21 (), m22 (), m23 (), m31 (), m32 (), m33 (), dx () 和 dy () 函數。

Translation is the simplest transformation. Setting dx and dy will move the coordinate system dx units along the X axis and dy units along the Y axis. Scaling can be done by setting m11 and m22 . For example, setting m11 to 2 and m22 to 1.5 will double the height and increase the width by 50%. The identity matrix has m11 , m22 ,和 m33 set to 1 (all others are set to 0) mapping a point to itself. Shearing is controlled by m12 and m21 . Setting these elements to values different from zero will twist the coordinate system. Rotation is achieved by setting both the shearing factors and the scaling factors. Perspective transformation is achieved by setting both the projection factors and the scaling factors.

組閤變換

Here's the combined transformations example using basic matrix operations:

void BasicOperations::paintEvent(QPaintEvent *)
{
    const double a = qDegreesToRadians(45.0);
    double sina = sin(a);
    double cosa = cos(a);
    QTransform scale(0.5, 0, 0, 1.0, 0, 0);
    QTransform rotate(cosa, sina, -sina, cosa, 0, 0);
    QTransform translate(1, 0, 0, 1, 50.0, 50.0);
    QTransform transform = scale * rotate * translate;
    QPainter painter(this);
    painter.setPen(QPen(Qt::blue, 1, Qt::DashLine));
    painter.drawRect(0, 0, 100, 100);
    painter.setTransform(transform);
    painter.setFont(QFont("Helvetica", 24));
    painter.setPen(QPen(Qt::black, 1));
    painter.drawText(20, 10, "QTransform");
}
								

The combined transform first scales each operand, then rotates it, and finally translates it, just as in the order in which the product of its factors is written. This means the point to which the transforms are applied is implicitly multiplied on the left with the transform to its right.

Relation to Matrix Notation

The matrix notation in QTransform is the transpose of a commonly-taught convention which represents transforms and points as matrices and vectors. That convention multiplies its matrix on the left and column vector to the right. In other words, when several transforms are applied to a point, the right-most matrix acts directly on the vector first. Then the next matrix to the left acts on the result of the first operation - and so on. As a result, that convention multiplies the matrices that make up a composite transform in the reverse of the order in QTransform, as you can see in 組閤變換 . Transposing the matrices, and combining them to the right of a row vector that represents the point, lets the matrices of transforms appear, in their product, in the order in which we think of the transforms being applied to the point.

另請參閱 QPainter , 坐標係 , 仿射變換範例 ,和 變換範例 .

成員類型文檔編製

enum QTransform:: TransformationType

常量
QTransform::TxNone 0x00
QTransform::TxTranslate 0x01
QTransform::TxScale 0x02
QTransform::TxRotate 0x04
QTransform::TxShear 0x08
QTransform::TxProject 0x10

成員函數文檔編製

QTransform:: QTransform ( qreal m11 , qreal m12 , qreal m21 , qreal m22 , qreal dx , qreal dy )

構造矩陣采用元素 m11 , m12 , m21 , m22 , dx and dy .

另請參閱 setMatrix ().

QTransform:: QTransform ( qreal m11 , qreal m12 , qreal m13 , qreal m21 , qreal m22 , qreal m23 , qreal m31 , qreal m32 , qreal m33 = 1.0)

構造矩陣采用元素 m11 , m12 , m13 , m21 , m22 , m23 , m31 , m32 , m33 .

另請參閱 setMatrix ().

QTransform:: QTransform ()

構造恒等矩陣。

所有元素被設為 0 除瞭 m11 and m22 (指定比例) 和 m33 被設為 1。

另請參閱 reset ().

QTransform &QTransform:: operator= (const QTransform & matrix )

賦值給定 matrix 的值到此矩陣。

qreal QTransform:: m11 () const

返迴水平比例縮放因子。

另請參閱 scale () 和 基本矩陣運算 .

qreal QTransform:: m12 () const

返迴垂直剪切因子。

另請參閱 shear () 和 基本矩陣運算 .

qreal QTransform:: m13 () const

返迴水平投影因子。

另請參閱 translate () 和 基本矩陣運算 .

qreal QTransform:: m21 () const

返迴水平剪切因子。

另請參閱 shear () 和 基本矩陣運算 .

qreal QTransform:: m22 () const

Returns the vertical scaling factor.

另請參閱 scale () 和 基本矩陣運算 .

qreal QTransform:: m23 () const

Returns the vertical projection factor.

另請參閱 translate () 和 基本矩陣運算 .

qreal QTransform:: m31 () const

Returns the horizontal translation factor.

另請參閱 dx (), translate (),和 基本矩陣運算 .

qreal QTransform:: m32 () const

返迴垂直翻譯因子。

另請參閱 dy (), translate (),和 基本矩陣運算 .

qreal QTransform:: m33 () const

Returns the division factor.

另請參閱 translate () 和 基本矩陣運算 .

QTransform QTransform:: adjoint () const

Returns the adjoint of this matrix.

qreal QTransform:: determinant () const

返迴矩陣的行列式。

qreal QTransform:: dx () const

Returns the horizontal translation factor.

另請參閱 m31 (), translate (),和 基本矩陣運算 .

qreal QTransform:: dy () const

返迴垂直翻譯因子。

另請參閱 translate () 和 基本矩陣運算 .

[static] QTransform QTransform:: fromScale ( qreal sx , qreal sy )

Creates a matrix which corresponds to a scaling of sx 水平和 sy vertically. This is the same as QTransform ().scale(sx, sy) but slightly faster.

該函數在 Qt 4.5 引入。

[static] QTransform QTransform:: fromTranslate ( qreal dx , qreal dy )

Creates a matrix which corresponds to a translation of dx 沿 X 軸和 dy along the y axis. This is the same as QTransform ().translate(dx, dy) but slightly faster.

該函數在 Qt 4.5 引入。

QTransform QTransform:: inverted ( bool * invertible = nullptr) const

Returns an inverted copy of this matrix.

If the matrix is singular (not invertible), the returned matrix is the identity matrix. If invertible is valid (i.e. not 0), its value is set to true if the matrix is invertible, otherwise it is set to false.

另請參閱 isInvertible ().

bool QTransform:: isAffine () const

返迴 true if the matrix represent an affine transformation, otherwise returns false .

bool QTransform:: isIdentity () const

返迴 true if the matrix is the identity matrix, otherwise returns false .

另請參閱 reset ().

bool QTransform:: isInvertible () const

返迴 true 若矩陣可逆,否則返迴 false .

另請參閱 inverted ().

bool QTransform:: isRotating () const

返迴 true 若矩陣錶示某種鏇轉變換,否則返迴 false .

注意: A rotation transformation of 180 degrees and/or 360 degrees is treated as a scaling transformation.

另請參閱 reset ().

bool QTransform:: isScaling () const

返迴 true 若矩陣錶示比例縮放變換,否則返迴 false .

另請參閱 reset ().

bool QTransform:: isTranslating () const

返迴 true 若矩陣錶示平移變換,否則返迴 false .

另請參閱 reset ().

void QTransform:: map ( qreal x , qreal y , qreal * tx , qreal * ty ) const

Maps the given coordinates x and y into the coordinate system defined by this matrix. The resulting values are put in * tx 和 * ty ,分彆。

The coordinates are transformed using the following formulas:

x' = m11*x + m21*y + dx
y' = m22*y + m12*x + dy
if (!isAffine()) {
    w' = m13*x + m23*y + m33
    x' /= w'
    y' /= w'
}
					

The point (x, y) is the original point, and (x', y') is the transformed point.

另請參閱 基本矩陣運算 .

QPoint QTransform:: map (const QPoint & point ) const

這是重載函數。

創建並返迴 QPoint 副本對象為給定 point , mapped into the coordinate system defined by this matrix. Note that the transformed coordinates are rounded to the nearest integer.

QPointF QTransform:: map (const QPointF & p ) const

這是重載函數。

創建並返迴 QPointF object that is a copy of the given point, p , mapped into the coordinate system defined by this matrix.

QLine QTransform:: map (const QLine & l ) const

這是重載函數。

創建並返迴 QLineF object that is a copy of the given line, l , mapped into the coordinate system defined by this matrix.

QLineF QTransform:: map (const QLineF & line ) const

這是重載函數。

創建並返迴 QLine 副本對象為給定 line , mapped into the coordinate system defined by this matrix. Note that the transformed coordinates are rounded to the nearest integer.

QPolygonF QTransform:: map (const QPolygonF & polygon ) const

這是重載函數。

創建並返迴 QPolygonF 副本對象為給定 polygon , mapped into the coordinate system defined by this matrix.

QPolygon QTransform:: map (const QPolygon & polygon ) const

這是重載函數。

創建並返迴 QPolygon 副本對象為給定 polygon , mapped into the coordinate system defined by this matrix. Note that the transformed coordinates are rounded to the nearest integer.

QRegion QTransform:: map (const QRegion & region ) const

這是重載函數。

創建並返迴 QRegion 副本對象為給定 region , mapped into the coordinate system defined by this matrix.

Calling this method can be rather expensive if rotations or shearing are used.

QPainterPath QTransform:: map (const QPainterPath & path ) const

這是重載函數。

創建並返迴 QPainterPath 副本對象為給定 path , mapped into the coordinate system defined by this matrix.

void QTransform:: map ( int x , int y , int * tx , int * ty ) const

這是重載函數。

Maps the given coordinates x and y into the coordinate system defined by this matrix. The resulting values are put in * tx 和 * ty , respectively. Note that the transformed coordinates are rounded to the nearest integer.

QRectF QTransform:: mapRect (const QRectF & rectangle ) const

創建並返迴 QRectF 副本對象為給定 rectangle , mapped into the coordinate system defined by this matrix.

The rectangle's coordinates are transformed using the following formulas:

x' = m11*x + m21*y + dx
y' = m22*y + m12*x + dy
if (!isAffine()) {
    w' = m13*x + m23*y + m33
    x' /= w'
    y' /= w'
}
					

If rotation or shearing has been specified, this function returns the bounding rectangle. To retrieve the exact region the given rectangle maps to, use the mapToPolygon () 函數代替。

另請參閱 mapToPolygon () 和 基本矩陣運算 .

QRect QTransform:: mapRect (const QRect & rectangle ) const

這是重載函數。

創建並返迴 QRect 副本對象為給定 rectangle , mapped into the coordinate system defined by this matrix. Note that the transformed coordinates are rounded to the nearest integer.

QPolygon QTransform:: mapToPolygon (const QRect & rectangle ) const

創建並返迴 QPolygon 錶示的給定 rectangle , mapped into the coordinate system defined by this matrix.

The rectangle's coordinates are transformed using the following formulas:

x' = m11*x + m21*y + dx
y' = m22*y + m12*x + dy
if (!isAffine()) {
    w' = m13*x + m23*y + m33
    x' /= w'
    y' /= w'
}
					

Polygons and rectangles behave slightly differently when transformed (due to integer rounding), so matrix.map(QPolygon(rectangle)) is not always the same as matrix.mapToPolygon(rectangle) .

另請參閱 mapRect () 和 基本矩陣運算 .

[static] bool QTransform:: quadToQuad (const QPolygonF & one , const QPolygonF & two , QTransform & trans )

創建變換矩陣 trans ,映射 4 邊多邊形 one ,到另一 4 邊多邊形 two 。返迴 true 若變換是可能的;否則返迴 false。

這是方便方法組閤 quadToSquare () 和 squareToQuad () methods. It allows the input quad to be transformed into any other quad.

另請參閱 squareToQuad () 和 quadToSquare ().

[static] bool QTransform:: quadToSquare (const QPolygonF & quad , QTransform & trans )

創建變換矩陣 trans ,映射 4 邊多邊形 quad ,到單位正方形。返迴 true if the transformation is constructed or false if such a transformation does not exist.

另請參閱 squareToQuad () 和 quadToQuad ().

void QTransform:: reset ()

將矩陣重置為恒等矩陣,即,所有元素被設為 0,除瞭 m11 and m22 (指定比例) 和 m33 被設為 1。

另請參閱 QTransform (), isIdentity (),和 基本矩陣運算 .

QTransform &QTransform:: rotate ( qreal angle , Qt::Axis axis = Qt::ZAxis)

逆時針鏇轉坐標係按給定 angle 關於指定 axis 並返迴矩陣引用。

注意,若應用 QTransform 到由 Widget 坐標定義的點,鏇轉方嚮將是順時針,因為 Y 軸指嚮嚮下。

角度的指定是以度為單位。

另請參閱 setMatrix ().

QTransform &QTransform:: rotateRadians ( qreal angle , Qt::Axis axis = Qt::ZAxis)

逆時針鏇轉坐標係按給定 angle 關於指定 axis 並返迴矩陣引用。

注意,若應用 QTransform 到由 Widget 坐標定義的點,鏇轉方嚮將是順時針,因為 Y 軸指嚮嚮下。

角度的指定是以弧度為單位。

另請參閱 setMatrix ().

QTransform &QTransform:: scale ( qreal sx , qreal sy )

比例縮放坐標係按 sx 水平和 sy 垂直,並返迴矩陣引用。

另請參閱 setMatrix ().

void QTransform:: setMatrix ( qreal m11 , qreal m12 , qreal m13 , qreal m21 , qreal m22 , qreal m23 , qreal m31 , qreal m32 , qreal m33 )

將矩陣元素設為指定值, m11 , m12 , m13 m21 , m22 , m23 m31 , m32 and m33 。注意,此函數替換先前值。 QTransform 提供 translate (), rotate (), scale () 和 shear () convenience functions to manipulate the various matrix elements based on the currently defined coordinate system.

另請參閱 QTransform ().

QTransform &QTransform:: shear ( qreal sh , qreal sv )

剪切坐標係按 sh 水平和 sv 垂直,並返迴矩陣引用。

另請參閱 setMatrix ().

[static] bool QTransform:: squareToQuad (const QPolygonF & quad , QTransform & trans )

創建變換矩陣 trans , that maps a unit square to a four-sided polygon, quad 。返迴 true if the transformation is constructed or false if such a transformation does not exist.

另請參閱 quadToSquare () 和 quadToQuad ().

QTransform &QTransform:: translate ( qreal dx , qreal dy )

移動坐標係 dx 沿 X 軸和 dy 沿 Y 軸,並返迴矩陣引用。

另請參閱 setMatrix ().

QTransform QTransform:: transposed () const

返迴此矩陣的轉置。

QTransform::TransformationType QTransform:: type () const

返迴此矩陣的變換類型。

The transformation type is the highest enumeration value capturing all of the matrix's transformations. For example, if the matrix both scales and shears, the type would be TxShear ,因為 TxShear has a higher enumeration value than TxScale .

Knowing the transformation type of a matrix is useful for optimization: you can often handle specific types more optimally than handling the generic case.

QVariant QTransform:: operator QVariant () const

返迴變換如 QVariant .

bool QTransform:: operator!= (const QTransform & matrix ) const

返迴 true if this matrix is not equal to the given matrix ,否則返迴 false .

QTransform QTransform:: operator* (const QTransform & matrix ) const

Returns the result of multiplying this matrix by the given matrix .

Note that matrix multiplication is not commutative, i.e. a*b != b*a.

QTransform &QTransform:: operator*= (const QTransform & matrix )

這是重載函數。

Returns the result of multiplying this matrix by the given matrix .

QTransform &QTransform:: operator*= ( qreal scalar )

這是重載函數。

Returns the result of performing an element-wise multiplication of this matrix with the given scalar .

QTransform &QTransform:: operator+= ( qreal scalar )

這是重載函數。

Returns the matrix obtained by adding the given scalar to each element of this matrix.

QTransform &QTransform:: operator-= ( qreal scalar )

這是重載函數。

Returns the matrix obtained by subtracting the given scalar from each element of this matrix.

QTransform &QTransform:: operator/= ( qreal scalar )

這是重載函數。

Returns the result of performing an element-wise division of this matrix by the given scalar .

bool QTransform:: operator== (const QTransform & matrix ) const

返迴 true 若此矩陣等於給定 matrix ,否則返迴 false .

相關非成員

bool qFuzzyCompare (const QTransform & t1 , const QTransform & t2 )

返迴 true if t1 and t2 are equal, allowing for a small fuzziness factor for floating-point comparisons; false otherwise.

該函數在 Qt 4.6 引入。

uint qHash (const QTransform & key , uint seed = 0)

返迴哈希值為 key ,使用 seed 做計算種子。

該函數在 Qt 5.6 引入。

QPainterPath operator* (const QPainterPath & path , const QTransform & matrix )

這如同 matrix .map( path ).

該函數在 Qt 4.3 引入。

另請參閱 QTransform::map ().

QPoint operator* (const QPoint & point , const QTransform & matrix )

這如同 matrix .map( point ).

另請參閱 QTransform::map ().

QPointF operator* (const QPointF & point , const QTransform & matrix )

如同 matrix .map( point ).

另請參閱 QTransform::map ().

QLineF operator* (const QLineF & line , const QTransform & matrix )

這如同 matrix .map( line ).

另請參閱 QTransform::map ().

QLine operator* (const QLine & line , const QTransform & matrix )

這如同 matrix .map( line ).

另請參閱 QTransform::map ().

QPolygon operator* (const QPolygon & polygon , const QTransform & matrix )

這如同 matrix .map( polygon ).

另請參閱 QTransform::map ().

QPolygonF operator* (const QPolygonF & polygon , const QTransform & matrix )

這如同 matrix .map( polygon ).

該函數在 Qt 4.3 引入。

另請參閱 QTransform::map ().

QRegion operator* (const QRegion & region , const QTransform & matrix )

這如同 matrix .map( region ).

另請參閱 QTransform::map ().

QDataStream & operator<< ( QDataStream & stream , const QTransform & matrix )

寫入給定 matrix 到給定 stream 並返迴流引用。

該函數在 Qt 4.3 引入。

另請參閱 序列化 Qt 數據類型 .

QDataStream & operator>> ( QDataStream & stream , QTransform & matrix )

讀取給定 matrix 從給定 stream 並返迴流引用。

該函數在 Qt 4.3 引入。

另請參閱 序列化 Qt 數據類型 .