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QTransform 类

QTransform 类指定坐标系的 2D 变换。 更多...

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

该类在 Qt 4.3 引入。

公共类型

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

公共函数

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

静态公共成员

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 )

详细描述

变换指定如何平移、比例缩放、剪切、旋转或投影坐标系，且通常在渲染图形时使用。

不同于 QMatrix, QTransform 是允许透视变换的真正 3 x 3 矩阵。QTransform 的 toAffine() 方法允许将 QTransform 铸造成 QMatrix。若矩阵有指定透视图变换，则转换会导致数据丢失。

QTransform 是 Qt 推荐的变换类。

可以构建 QTransform 对象使用 setMatrix (), scale (), rotate (), translate () 和 shear () 函数。另外，可以构建它通过应用 基本矩阵运算 。矩阵也可以在构造时定义，且可以把它重置为恒等矩阵 (默认) 使用 reset () 函数。

QTransform 类支持图形原语的映射：可以将给定点、线、多边形、区域或描绘器路径，映射到坐标系定义通过 this 矩阵使用 map () 函数。若是矩形，变换其坐标可以使用 mapRect () 函数。还可以将矩形变换成 polygon (映射到坐标系定义通过 this 矩阵)，使用 mapToPolygon () 函数。

QTransform 提供 isIdentity () 函数其返回 true 如果矩阵是恒等矩阵，和 isInvertible () 函数其返回 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.

渲染图形

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

默认情况下， 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 坐标系 文档编制。

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");
}

基本矩阵运算

QTransform 对象包含 3 x 3 矩阵。 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缩放。 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'
}

点 (x, y) 是原点，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 () 函数。

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.

组合变换

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 组合变换 . 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.

另请参阅 QPainter , 坐标系 , 仿射变换范例 ，和 变换范例 .

成员类型文档编制

enum QTransform:: TransformationType

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

成员函数文档编制

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

构造矩阵采用元素 m11 , m12 , m21 , m22 , dx and dy .

另请参阅 setMatrix ().

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

构造矩阵采用元素 m11 , m12 , m13 , m21 , m22 , m23 , m31 , m32 , m33 .

另请参阅 setMatrix ().

QTransform:: QTransform ()

构造恒等矩阵。

所有元素被设为 0 除了 m11 and m22 (指定比例) 和 m33 被设为 1。

另请参阅 reset ().

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

赋值给定 matrix 的值到此矩阵。

qreal QTransform:: m11 () const

Returns the horizontal scaling factor.

另请参阅 scale () 和 基本矩阵运算 .

qreal QTransform:: m12 () const

Returns the vertical shearing factor.

另请参阅 shear () 和 基本矩阵运算 .

qreal QTransform:: m13 () const

Returns the horizontal projection factor.

另请参阅 translate () 和 基本矩阵运算 .

qreal QTransform:: m21 () const

Returns the horizontal shearing factor.

另请参阅 shear () 和 基本矩阵运算 .

qreal QTransform:: m22 () const

Returns the vertical scaling factor.

另请参阅 scale () 和 基本矩阵运算 .

qreal QTransform:: m23 () const

Returns the vertical projection factor.

另请参阅 translate () 和 基本矩阵运算 .

qreal QTransform:: m31 () const

Returns the horizontal translation factor.

另请参阅 dx (), translate ()，和 基本矩阵运算 .

qreal QTransform:: m32 () const

返回垂直翻译因子。

另请参阅 dy (), translate ()，和 基本矩阵运算 .

qreal QTransform:: m33 () const

Returns the division factor.

另请参阅 translate () 和 基本矩阵运算 .

QTransform QTransform:: adjoint () const

Returns the adjoint of this matrix.

qreal QTransform:: determinant () const

返回矩阵的行列式。

qreal QTransform:: dx () const

Returns the horizontal translation factor.

另请参阅 m31 (), translate ()，和 基本矩阵运算 .

qreal QTransform:: dy () const

返回垂直翻译因子。

另请参阅 translate () 和 基本矩阵运算 .

[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.

该函数在 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 轴和 dy along the y axis. This is the same as QTransform ().translate(dx, dy) but slightly faster.

该函数在 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.

另请参阅 isInvertible ().

bool QTransform:: isAffine () const

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

bool QTransform:: isIdentity () const

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

另请参阅 reset ().

bool QTransform:: isInvertible () const

返回 true 若矩阵可逆，否则返回 false .

另请参阅 inverted ().

bool QTransform:: isRotating () const

返回 true 若矩阵表示某种旋转变换，否则返回 false .

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

另请参阅 reset ().

bool QTransform:: isScaling () const

返回 true 若矩阵表示比例缩放变换，否则返回 false .

另请参阅 reset ().

bool QTransform:: isTranslating () const

返回 true 若矩阵表示平移变换，否则返回 false .

另请参阅 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 ，分别。

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.

另请参阅 基本矩阵运算 .

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

这是重载函数。

创建并返回 QPoint 副本对象为给定 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

这是重载函数。

创建并返回 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

这是重载函数。

创建并返回 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

这是重载函数。

创建并返回 QLine 副本对象为给定 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

这是重载函数。

创建并返回 QPolygonF 副本对象为给定 polygon , mapped into the coordinate system defined by this matrix.

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

这是重载函数。

创建并返回 QPolygon 副本对象为给定 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

这是重载函数。

创建并返回 QRegion 副本对象为给定 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

这是重载函数。

创建并返回 QPainterPath 副本对象为给定 path , mapped into the coordinate system defined by this matrix.

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

这是重载函数。

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

创建并返回 QRectF 副本对象为给定 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 () 函数代替。

另请参阅 mapToPolygon () 和 基本矩阵运算 .

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

这是重载函数。

创建并返回 QRect 副本对象为给定 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

创建并返回 QPolygon representation of the given 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) .

另请参阅 mapRect () 和 基本矩阵运算 .

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

创建变换矩阵 trans ，映射 4 边多边形 one , to another four-sided polygon, two 。返回 true if the transformation is possible; otherwise returns false.

This is a convenience method combining quadToSquare () 和 squareToQuad () methods. It allows the input quad to be transformed into any other quad.

另请参阅 squareToQuad () 和 quadToSquare ().

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

创建变换矩阵 trans ，映射 4 边多边形 quad ，到单位正方形。返回 true if the transformation is constructed or false if such a transformation does not exist.

另请参阅 squareToQuad () 和 quadToQuad ().

void QTransform:: reset ()

将矩阵重置为恒等矩阵，即，所有元素被设为 0，除了 m11 and m22 (指定比例) 和 m33 被设为 1。

另请参阅 QTransform (), isIdentity ()，和 基本矩阵运算 .

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

逆时针旋转坐标系按给定 angle 关于指定 axis 并返回矩阵引用。

注意，若应用 QTransform 到由 Widget 坐标定义的点，旋转方向将是顺时针，因为 Y 轴指向向下。

角度的指定是以度为单位。

另请参阅 setMatrix ().

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

逆时针旋转坐标系按给定 angle 关于指定 axis 并返回矩阵引用。

注意，若应用 QTransform 到由 Widget 坐标定义的点，旋转方向将是顺时针，因为 Y 轴指向向下。

角度的指定是以弧度为单位。

另请参阅 setMatrix ().

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

比例缩放坐标系按 sx 水平和 sy 垂直，并返回矩阵引用。

另请参阅 setMatrix ().

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

将矩阵元素设为指定值， m11 , m12 , m13 m21 , m22 , m23 m31 , m32 and m33 。注意，此函数替换先前值。 QTransform 提供 translate (), rotate (), scale () 和 shear () convenience functions to manipulate the various matrix elements based on the currently defined coordinate system.

另请参阅 QTransform ().

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

剪切坐标系按 sh 水平和 sv 垂直，并返回矩阵引用。

另请参阅 setMatrix ().

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

创建变换矩阵 trans , that maps a unit square to a four-sided polygon, quad 。返回 true if the transformation is constructed or false if such a transformation does not exist.

另请参阅 quadToSquare () 和 quadToQuad ().

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

移动坐标系 dx 沿 X 轴和 dy 沿 Y 轴，并返回矩阵引用。

另请参阅 setMatrix ().

QTransform QTransform:: transposed () const

返回此矩阵的转置。

QTransform::TransformationType QTransform:: type () const

返回此矩阵的变换类型。

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 ，因为 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

返回变换如 QVariant .

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

返回 true if this matrix is not equal to the given matrix ，否则返回 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 )

这是重载函数。

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

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

这是重载函数。

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

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

这是重载函数。

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

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

这是重载函数。

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

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

这是重载函数。

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

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

返回 true 若此矩阵等于给定 matrix ，否则返回 false .

相关非成员

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

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

该函数在 Qt 4.6 引入。

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

返回哈希值为 key ，使用 seed 做计算种子。

该函数在 Qt 5.6 引入。

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

这如同 matrix .map( path ).

该函数在 Qt 4.3 引入。

另请参阅 QTransform::map ().

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

这如同 matrix .map( point ).

另请参阅 QTransform::map ().

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

如同 matrix .map( point ).

另请参阅 QTransform::map ().

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

这如同 matrix .map( line ).

另请参阅 QTransform::map ().

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

这如同 matrix .map( line ).

另请参阅 QTransform::map ().

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

这如同 matrix .map( polygon ).

另请参阅 QTransform::map ().

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

这如同 matrix .map( polygon ).

该函数在 Qt 4.3 引入。

另请参阅 QTransform::map ().

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

这如同 matrix .map( region ).

另请参阅 QTransform::map ().

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

写入给定 matrix 到给定 stream 并返回流引用。

该函数在 Qt 4.3 引入。

另请参阅 序列化 Qt 数据类型 .

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

读取给定 matrix 从给定 stream 并返回流引用。

该函数在 Qt 4.3 引入。

另请参阅 序列化 Qt 数据类型 .

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