Qt 6.x
The Qt SDK
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QTransform Class Reference

The QTransform class specifies 2D transformations of a coordinate system. More...

#include <qtransform.h>

+ Collaboration diagram for QTransform:

Public Types

enum  TransformationType {
  TxNone = 0x00 , TxTranslate = 0x01 , TxScale = 0x02 , TxRotate = 0x04 ,
  TxShear = 0x08 , TxProject = 0x10
}
 \value TxNone \value TxTranslate \value TxScale \value TxRotate \value TxShear \value TxProject More...
 

Public Member Functions

 QTransform (Qt::Initialization)
 
 QTransform ()
 Constructs an identity matrix.
 
 QTransform (qreal h11, qreal h12, qreal h13, qreal h21, qreal h22, qreal h23, qreal h31, qreal h32, qreal h33)
 Constructs a matrix with the elements, m11, m12, m13, m21, m22, m23, m31, m32, m33.
 
 QTransform (qreal h11, qreal h12, qreal h21, qreal h22, qreal dx, qreal dy)
 Constructs a matrix with the elements, m11, m12, m21, m22, dx and dy.
 
QTransformoperator= (QTransform &&other) noexcept=default
 
QTransformoperator= (const QTransform &) noexcept=default
 Assigns the given matrix's values to this matrix.
 
 QTransform (QTransform &&other) noexcept=default
 
 QTransform (const QTransform &other) noexcept=default
 
bool isAffine () const
 Returns true if the matrix represent an affine transformation, otherwise returns false.
 
bool isIdentity () const
 Returns true if the matrix is the identity matrix, otherwise returns false.
 
bool isInvertible () const
 Returns true if the matrix is invertible, otherwise returns false.
 
bool isScaling () const
 Returns true if the matrix represents a scaling transformation, otherwise returns false.
 
bool isRotating () const
 Returns true if the matrix represents some kind of a rotating transformation, otherwise returns false.
 
bool isTranslating () const
 Returns true if the matrix represents a translating transformation, otherwise returns false.
 
TransformationType type () const
 Returns the transformation type of this matrix.
 
qreal determinant () const
 Returns the matrix's determinant.
 
qreal m11 () const
 Returns the horizontal scaling factor.
 
qreal m12 () const
 Returns the vertical shearing factor.
 
qreal m13 () const
 Returns the horizontal projection factor.
 
qreal m21 () const
 Returns the horizontal shearing factor.
 
qreal m22 () const
 Returns the vertical scaling factor.
 
qreal m23 () const
 Returns the vertical projection factor.
 
qreal m31 () const
 Returns the horizontal translation factor.
 
qreal m32 () const
 Returns the vertical translation factor.
 
qreal m33 () const
 Returns the division factor.
 
qreal dx () const
 Returns the horizontal translation factor.
 
qreal dy () const
 Returns the vertical translation factor.
 
void setMatrix (qreal m11, qreal m12, qreal m13, qreal m21, qreal m22, qreal m23, qreal m31, qreal m32, qreal m33)
 Sets the matrix elements to the specified values, m11, m12, m13 m21, m22, m23 m31, m32 and m33.
 
QTransform inverted (bool *invertible=nullptr) const
 Returns an inverted copy of this matrix.
 
QTransform adjoint () const
 Returns the adjoint of this matrix.
 
QTransform transposed () const
 Returns the transpose of this matrix.
 
QTransformtranslate (qreal dx, qreal dy)
 Moves the coordinate system dx along the x axis and dy along the y axis, and returns a reference to the matrix.
 
QTransformscale (qreal sx, qreal sy)
 Scales the coordinate system by sx horizontally and sy vertically, and returns a reference to the matrix.
 
QTransformshear (qreal sh, qreal sv)
 Shears the coordinate system by sh horizontally and sv vertically, and returns a reference to the matrix.
 
QTransformrotate (qreal a, Qt::Axis axis=Qt::ZAxis, qreal distanceToPlane=1024.0f)
 
QTransformrotateRadians (qreal a, Qt::Axis axis=Qt::ZAxis, qreal distanceToPlane=1024.0f)
 
bool operator== (const QTransform &) const
 Returns true if this matrix is equal to the given matrix, otherwise returns false.
 
bool operator!= (const QTransform &) const
 Returns true if this matrix is not equal to the given matrix, otherwise returns false.
 
QTransformoperator*= (const QTransform &)
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Returns the result of multiplying this matrix by the given matrix.
 
QTransform operator* (const QTransform &o) const
 Returns the result of multiplying this matrix by the given matrix.
 
 operator QVariant () const
 Returns the transform as a QVariant.
 
void reset ()
 Resets the matrix to an identity matrix, i.e.
 
QPoint map (const QPoint &p) const
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QPoint object that is a copy of the given point, mapped into the coordinate system defined by this matrix.
 
QPointF map (const QPointF &p) const
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QPointF object that is a copy of the given point, p, mapped into the coordinate system defined by this matrix.
 
QLine map (const QLine &l) const
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QLineF object that is a copy of the given line, l, mapped into the coordinate system defined by this matrix.
 
QLineF map (const QLineF &l) const
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
 
QPolygonF map (const QPolygonF &a) const
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.
 
QPolygon map (const QPolygon &a) const
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QPolygon object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.
 
QRegion map (const QRegion &r) const
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QRegion object that is a copy of the given region, mapped into the coordinate system defined by this matrix.
 
QPainterPath map (const QPainterPath &p) const
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.
 
QPolygon mapToPolygon (const QRect &r) const
 Creates and returns a QPolygon representation of the given rectangle, mapped into the coordinate system defined by this matrix.
 
QRect mapRect (const QRect &) const
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QRect object that is a copy of the given rectangle, mapped into the coordinate system defined by this matrix.
 
QRectF mapRect (const QRectF &) const
 Creates and returns a QRectF object that is a copy of the given rectangle, mapped into the coordinate system defined by this matrix.
 
void map (int x, int y, int *tx, int *ty) const
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Maps the given coordinates x and y into the coordinate system defined by this matrix.
 
void 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.
 
QTransformoperator*= (qreal div)
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Returns the result of performing an element-wise multiplication of this matrix with the given scalar.
 
QTransformoperator/= (qreal div)
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Returns the result of performing an element-wise division of this matrix by the given scalar.
 
QTransformoperator+= (qreal div)
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Returns the matrix obtained by adding the given scalar to each element of this matrix.
 
QTransformoperator-= (qreal div)
 This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Returns the matrix obtained by subtracting the given scalar from each element of this matrix.
 
auto asAffineMatrix ()
 

Static Public Member Functions

static bool squareToQuad (const QPolygonF &square, QTransform &result)
 Creates a transformation matrix, trans, that maps a unit square to a four-sided polygon, quad.
 
static bool quadToSquare (const QPolygonF &quad, QTransform &result)
 Creates a transformation matrix, trans, that maps a four-sided polygon, quad, to a unit square.
 
static bool quadToQuad (const QPolygonF &one, const QPolygonF &two, QTransform &result)
 Creates a transformation matrix, trans, that maps a four-sided polygon, one, to another four-sided polygon, two.
 
static QTransform fromTranslate (qreal dx, qreal dy)
 Creates a matrix which corresponds to a translation of dx along the x axis and dy along the y axis.
 
static QTransform fromScale (qreal dx, qreal dy)
 Creates a matrix which corresponds to a scaling of sx horizontally and sy vertically.
 

Friends

Q_GUI_EXPORT QDataStreamoperator>> (QDataStream &s, Affine &m)
 
Q_GUI_EXPORT QDataStreamoperator<< (QDataStream &s, const Affine &m)
 

Related Symbols

(Note that these are not member symbols.)

size_t qHash (const QTransform &key, size_t seed) noexcept
 
QDataStreamoperator<< (QDataStream &stream, const QTransform &matrix)
 
QDataStreamoperator>> (QDataStream &stream, QTransform &matrix)
 
QPoint operator* (const QPoint &point, const QTransform &matrix)
 This is the same as {matrix}.map({point}).
 
QPointF operator* (const QPointF &point, const QTransform &matrix)
 Same as {matrix}.map({point}).
 
QLineF operator* (const QLineF &line, const QTransform &matrix)
 This is the same as {matrix}.map({line}).
 
QLine operator* (const QLine &line, const QTransform &matrix)
 This is the same as {matrix}.map({line}).
 
QPolygonF operator* (const QPolygonF &polygon, const QTransform &matrix)
 
QPolygon operator* (const QPolygon &polygon, const QTransform &matrix)
 This is the same as {matrix}.map({polygon}).
 
QRegion operator* (const QRegion &region, const QTransform &matrix)
 This is the same as {matrix}.map({region}).
 
QPainterPath operator* (const QPainterPath &path, const QTransform &matrix)
 
bool qFuzzyCompare (const QTransform &t1, const QTransform &t2)
 

Detailed Description

The QTransform class specifies 2D transformations of a coordinate system.

Since
4.3

\inmodule QtGui

A transformation specifies how to translate, scale, shear, rotate or project the coordinate system, and is typically used when rendering graphics.

A QTransform object can be built using the setMatrix(), scale(), rotate(), translate() and shear() functions. Alternatively, it can be built by applying \l {QTransform::Basic Matrix Operations}{basic matrix operations}. The matrix can also be defined when constructed, and it can be reset to the identity matrix (the default) using the reset() function.

The QTransform class supports mapping of graphic primitives: A given point, line, polygon, region, or painter path can be mapped to the coordinate system defined by this matrix using the map() function. In case of a rectangle, its coordinates can be transformed using the mapRect() function. A rectangle can also be transformed into a polygon (mapped to the coordinate system defined by this matrix), using the mapToPolygon() function.

QTransform provides the isIdentity() function which returns true if the matrix is the identity matrix, and the isInvertible() function which returns 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.

Definition at line 19 of file qtransform.h.

Member Enumeration Documentation

◆ TransformationType

\value TxNone \value TxTranslate \value TxScale \value TxRotate \value TxShear \value TxProject

Enumerator
TxNone 
TxTranslate 
TxScale 
TxRotate 
TxShear 
TxProject 

Definition at line 22 of file qtransform.h.

Constructor & Destructor Documentation

◆ QTransform() [1/6]

QTransform::QTransform ( Qt::Initialization  )
inlineexplicit

Definition at line 31 of file qtransform.h.

◆ QTransform() [2/6]

QTransform::QTransform ( )
inline

Constructs an identity matrix.

All elements are set to zero except m11 and m22 (specifying the scale) and m33 which are set to 1.

See also
reset()

Definition at line 32 of file qtransform.h.

Referenced by adjoint(), fromScale(), fromTranslate(), and reset().

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◆ QTransform() [3/6]

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

Constructs a matrix with the elements, m11, m12, m13, m21, m22, m23, m31, m32, m33.

See also
setMatrix()

Definition at line 36 of file qtransform.h.

◆ QTransform() [4/6]

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

Constructs a matrix with the elements, m11, m12, m21, m22, dx and dy.

See also
setMatrix()

Definition at line 42 of file qtransform.h.

◆ QTransform() [5/6]

QTransform::QTransform ( QTransform &&  other)
defaultnoexcept

◆ QTransform() [6/6]

QTransform::QTransform ( const QTransform other)
defaultnoexcept

Member Function Documentation

◆ adjoint()

QTransform QTransform::adjoint ( ) const

Returns the adjoint of this matrix.

Definition at line 262 of file qtransform.cpp.

References QTransform().

Referenced by inverted().

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◆ asAffineMatrix()

auto QTransform::asAffineMatrix ( )
inline

Definition at line 142 of file qtransform.h.

◆ determinant()

qreal QTransform::determinant ( ) const
inline

Returns the matrix's determinant.

Definition at line 193 of file qtransform.h.

Referenced by inverted(), and isInvertible().

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◆ dx()

◆ dy()

◆ fromScale()

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

Creates a matrix which corresponds to a scaling of sx horizontally and sy vertically.

This is the same as QTransform().scale(sx, sy) but slightly faster.

Since
4.5

Definition at line 467 of file qtransform.cpp.

References QTransform(), nanWarning(), qIsNaN(), TxNone, and TxScale.

Referenced by QGraphicsItem::boundingRegion(), createPixmapCursorFromData(), draw_text_item_win(), QOpenGL2PaintEngineExPrivate::drawCachedGlyphs(), QWin32PrintEngine::drawPixmap(), QPainterPrivate::hidpiScaleTransform(), QSGSoftwareInternalImageNode::paint(), QHighDpi::scale(), QGraphicsView::scrollContentsBy(), QQuickShapeGenericRenderer::triangulateFill(), and QWin32PrintEnginePrivate::updateMetrics().

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◆ fromTranslate()

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

Creates a matrix which corresponds to a translation of dx along the x axis and dy along the y axis.

This is the same as QTransform().translate(dx, dy) but slightly faster.

Since
4.5

Definition at line 401 of file qtransform.cpp.

References QTransform(), dx(), dy(), nanWarning(), qIsNaN(), TxNone, and TxTranslate.

Referenced by QEvdevTouchScreenHandler::QEvdevTouchScreenHandler(), QTuioHandler::QTuioHandler(), QFontEngineBox::addOutlineToPath(), QFontEngine::addOutlineToPath(), QGraphicsItemGroup::addToGroup(), QPainterPrivate::attachPainterPrivate(), QGraphicsItemPrivate::combineTransformToParent(), QGraphicsItem::deviceTransform(), QFontEngineBox::draw(), QGraphicsOpacityEffect::draw(), draw_text_item_win(), QPaintEnginePrivate::drawBoxTextItem(), QQC2::QCommonStyle::drawControl(), QCommonStyle::drawControl(), QGraphicsScenePrivate::drawItemHelper(), QWindowsDirect2DPaintEngine::drawPixmap(), QPaintEngine::drawTextItem(), QRasterPaintEngine::drawTextItem(), QOpenGL2PaintEngineEx::drawTextItem(), QPdfEnginePrivate::drawTextItem(), QPaintEngineEx::drawTiledPixmap(), fillBackground(), QGraphicsScenePrivate::gestureEventHandler(), QQuickItemPrivate::globalToWindowTransform(), QGraphicsItem::itemTransform(), QGraphicsView::mapFromScene(), QGraphicsView::mapToScene(), qt_true_matrix(), QGraphicsItemGroup::removeFromGroup(), QGraphicsView::render(), QWidgetPrivate::render_helper(), transformFromLine(), QGraphicsItemPrivate::updateSceneTransformFromParent(), QGraphicsView::viewportTransform(), and QQuickItemPrivate::windowToGlobalTransform().

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◆ inverted()

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.

See also
isInvertible()

Definition at line 303 of file qtransform.cpp.

References adjoint(), determinant(), qFuzzyIsNull(), TxNone, TxScale, and TxTranslate.

Referenced by QGraphicsItemGroup::addToGroup(), QGraphicsItem::boundingRegion(), draw_text_item_win(), QGraphicsScenePrivate::drawItemHelper(), QGraphicsScenePrivate::drawItems(), QRasterPaintEngine::drawStaticTextItem(), QRasterPaintEngine::drawTextItem(), QGraphicsItemPrivate::genericMapFromSceneTransform(), QGraphicsScenePrivate::gestureEventHandler(), QAndroidInputContext::handleLocationChanged(), QGraphicsItemPrivate::initStyleOption(), QtPrivate::intersect_path(), QtPrivate::intersect_point(), QtPrivate::intersect_rect(), QQuickContext2D::isPointInPath(), QGraphicsView::items(), QGraphicsScenePrivate::itemsAtPosition(), QGraphicsItem::itemTransform(), QGraphicsItem::mapFromParent(), QGraphicsItem::mapFromParent(), QGraphicsItem::mapFromParent(), QGraphicsItem::mapFromParent(), QGraphicsItem::mapFromScene(), QGraphicsItem::mapFromScene(), QGraphicsItem::mapFromScene(), QGraphicsItem::mapFromScene(), QGraphicsItem::mapRectFromParent(), QGraphicsItem::mapRectFromScene(), QGraphicsViewPrivate::mapToScene(), QQuickContext2D::popState(), quadToSquare(), QPlatformInputContext::queryFocusObject(), QGraphicsItemGroup::removeFromGroup(), QPlatformInputContext::setSelectionOnFocusObject(), QQuickContext2D::setTransform(), QPaintEngineEx::stroke(), QX11PlatformPixmap::transformed(), QOpenGL2PaintEngineExPrivate::updateBrushUniforms(), QIOSScreen::updateProperties(), and QQuickItemPrivate::windowToItemTransform().

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◆ isAffine()

bool QTransform::isAffine ( ) const
inline

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

Definition at line 165 of file qtransform.h.

References TxProject.

Referenced by QSpanData::setupMatrix(), QPainterPrivate::updateEmulationSpecifier(), and QOpenGLEngineShaderManager::useCorrectShaderProg().

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◆ isIdentity()

bool QTransform::isIdentity ( ) const
inline

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

See also
reset()

Definition at line 169 of file qtransform.h.

References TxNone.

Referenced by QEvdevTouchScreenData::addTouchPoint(), QSvgGradientStyle::brush(), QOutlineMapper::endOutline(), QPaintEnginePrivate::setSystemTransform(), QPaintEnginePrivate::setSystemTransformAndViewport(), QWindowsDirect2DPaintEnginePrivate::to_d2d_brush(), and QPainterPrivate::updateEmulationSpecifier().

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◆ isInvertible()

bool QTransform::isInvertible ( ) const
inline

Returns true if the matrix is invertible, otherwise returns false.

See also
inverted()

Definition at line 174 of file qtransform.h.

References determinant(), and qFuzzyIsNull().

Referenced by QQuickContext2D::rotate(), QQuickContext2D::scale(), QQuickContext2D::setTransform(), QQuickContext2D::shear(), QQuickContext2D::transform(), and QQuickContext2D::translate().

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◆ isRotating()

bool QTransform::isRotating ( ) const
inline

Returns true if the matrix represents some kind of a rotating transformation, otherwise returns false.

Note
A rotation transformation of 180 degrees and/or 360 degrees is treated as a scaling transformation.
See also
reset()

Definition at line 183 of file qtransform.h.

References TxRotate.

Referenced by QSGSoftwareInternalRectangleNode::paint(), and QSGSoftwareRenderableNode::update().

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◆ isScaling()

bool QTransform::isScaling ( ) const
inline

Returns true if the matrix represents a scaling transformation, otherwise returns false.

See also
reset()

Definition at line 179 of file qtransform.h.

References TxScale, and type().

Referenced by QWidgetPrivate::render_helper().

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◆ isTranslating()

bool QTransform::isTranslating ( ) const
inline

Returns true if the matrix represents a translating transformation, otherwise returns false.

See also
reset()

Definition at line 188 of file qtransform.h.

References TxTranslate.

Referenced by QPainter::drawStaticText().

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◆ m11()

qreal QTransform::m11 ( ) const
inline

Returns the horizontal scaling factor.

See also
scale(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 199 of file qtransform.h.

Referenced by QPrintPreviewWidgetPrivate::_q_fit(), QOpenGL2PaintEngineEx::beginNativePainting(), draw_text_item_win(), map(), operator*(), operator*=(), QTextureGlyphCache::populate(), qt_mapFillRect(), qt_xForm_helper(), setMatrix(), QSpanData::setupMatrix(), and QX11PlatformPixmap::transformed().

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◆ m12()

qreal QTransform::m12 ( ) const
inline

Returns the vertical shearing factor.

See also
shear(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 203 of file qtransform.h.

Referenced by QOpenGL2PaintEngineEx::beginNativePainting(), draw_text_item_win(), operator*(), operator*=(), qt_xForm_helper(), setMatrix(), and QSpanData::setupMatrix().

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◆ m13()

qreal QTransform::m13 ( ) const
inline

Returns the horizontal projection factor.

See also
translate(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 207 of file qtransform.h.

Referenced by QOpenGL2PaintEngineEx::beginNativePainting(), operator*(), operator*=(), setMatrix(), and QSpanData::setupMatrix().

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◆ m21()

qreal QTransform::m21 ( ) const
inline

Returns the horizontal shearing factor.

See also
shear(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 211 of file qtransform.h.

Referenced by QOpenGL2PaintEngineEx::beginNativePainting(), draw_text_item_win(), operator*(), operator*=(), qt_xForm_helper(), setMatrix(), and QSpanData::setupMatrix().

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◆ m22()

qreal QTransform::m22 ( ) const
inline

Returns the vertical scaling factor.

See also
scale(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 215 of file qtransform.h.

Referenced by QOpenGL2PaintEngineEx::beginNativePainting(), draw_text_item_win(), map(), operator*(), operator*=(), QTextureGlyphCache::populate(), qt_mapFillRect(), qt_xForm_helper(), setMatrix(), QSpanData::setupMatrix(), and QX11PlatformPixmap::transformed().

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◆ m23()

qreal QTransform::m23 ( ) const
inline

Returns the vertical projection factor.

See also
translate(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 219 of file qtransform.h.

Referenced by QOpenGL2PaintEngineEx::beginNativePainting(), operator*(), operator*=(), setMatrix(), and QSpanData::setupMatrix().

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◆ m31()

qreal QTransform::m31 ( ) const
inline

Returns the horizontal translation factor.

See also
dx(), translate(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 223 of file qtransform.h.

Referenced by operator*(), operator*=(), and setMatrix().

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◆ m32()

qreal QTransform::m32 ( ) const
inline

Returns the vertical translation factor.

See also
dy(), translate(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 227 of file qtransform.h.

Referenced by operator*(), operator*=(), and setMatrix().

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◆ m33()

qreal QTransform::m33 ( ) const
inline

Returns the division factor.

See also
translate(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 231 of file qtransform.h.

Referenced by QOpenGL2PaintEngineEx::beginNativePainting(), operator*(), operator*=(), setMatrix(), and QSpanData::setupMatrix().

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◆ map() [1/10]

QLine QTransform::map ( const QLine l) const

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QLineF object that is a copy of the given line, l, mapped into the coordinate system defined by this matrix.

Definition at line 1260 of file qtransform.cpp.

References qRound(), TxNone, TxProject, TxRotate, TxScale, TxShear, TxTranslate, QLine::x1(), QLine::x2(), QLine::y1(), and QLine::y2().

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◆ map() [2/10]

QLineF QTransform::map ( const QLineF line) const

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Creates and returns a QLine object that is a copy of the given line, mapped into the coordinate system defined by this matrix. Note that the transformed coordinates are rounded to the nearest integer.

Definition at line 1319 of file qtransform.cpp.

References TxNone, TxProject, TxRotate, TxScale, TxShear, TxTranslate, QLineF::x1(), QLineF::x2(), QLineF::y1(), and QLineF::y2().

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◆ map() [3/10]

QPainterPath QTransform::map ( const QPainterPath p) const

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

Definition at line 1666 of file qtransform.cpp.

References copy(), e, i, MAP, mapProjective(), TxNone, TxProject, and TxTranslate.

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◆ map() [4/10]

QPoint QTransform::map ( const QPoint point) const

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QPoint object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Note that the transformed coordinates are rounded to the nearest integer.

Definition at line 1140 of file qtransform.cpp.

References qRound(), TxNone, TxProject, TxRotate, TxScale, TxShear, TxTranslate, and QPoint::x().

Referenced by QEvdevTouchScreenData::addTouchPoint(), QGraphicsItem::boundingRegion(), QGraphicsItem::clipPath(), cubicToHook(), QOutlineMapper::curveTo(), draw_text_item_win(), QPdfEnginePrivate::drawTextItem(), QOutlineMapper::endOutline(), QGraphicsView::fitInView(), QGraphicsItemPrivate::genericMapFromScene(), QGraphicsScenePrivate::gestureEventHandler(), QAndroidInputContext::handleLocationChanged(), QtPrivate::intersect_path(), QtPrivate::intersect_point(), QtPrivate::intersect_rect(), QQuickContext2D::isPointInPath(), QGraphicsScenePrivate::itemsAtPosition(), QStyleOptionGraphicsItem::levelOfDetailFromTransform(), QQC2::QStyleOptionGraphicsItem::levelOfDetailFromTransform(), lineToHook(), QGraphicsItem::mapFromItem(), QGraphicsItem::mapFromItem(), QGraphicsItem::mapFromItem(), QGraphicsItem::mapFromItem(), QGraphicsItem::mapFromParent(), QGraphicsItem::mapFromParent(), QGraphicsItem::mapFromParent(), QGraphicsItem::mapFromParent(), QGraphicsItem::mapFromScene(), QGraphicsItem::mapFromScene(), QGraphicsItem::mapFromScene(), QGraphicsItem::mapFromScene(), QGraphicsItem::mapToItem(), QGraphicsItem::mapToItem(), QGraphicsItem::mapToItem(), QGraphicsItem::mapToItem(), QGraphicsItem::mapToParent(), QGraphicsItem::mapToParent(), QGraphicsItem::mapToParent(), QGraphicsItem::mapToParent(), QGraphicsItem::mapToScene(), QGraphicsItem::mapToScene(), QGraphicsItem::mapToScene(), QGraphicsItem::mapToScene(), QGraphicsItem::mouseMoveEvent(), moveCircle(), QQuickContext2D::popState(), qt_mapFillRect(), qt_transform_image(), QPlatformInputContext::queryFocusObject(), QGraphicsSceneIndexPrivate::recursive_items_helper(), QWidget::render(), QGraphicsView::render(), QQuickContext2D::rotate(), QHighDpi::scale(), QQuickContext2D::scale(), QGraphicsView::scrollContentsBy(), QGraphicsScenePrivate::sendHoverEvent(), QGraphicsScenePrivate::sendMouseEvent(), QPrintPreviewWidgetPrivate::setCurrentPage(), QQuickContext2D::setTransform(), QQuickContext2D::shear(), QPaintEngineEx::stroke(), QX11PlatformPixmap::transformed(), glyph_metrics_t::transformed(), QQuickContext2D::translate(), QWin32PrintEngine::updateClipPath(), QSvgPaintEngine::updateClipState(), QGraphicsViewPrivate::updateRegion(), QPaintEnginePrivate::updateSystemClip(), QGraphicsScenePrivate::updateTouchPointsForItem(), and QSGSoftwareRenderableNodeUpdater::visit().

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◆ map() [5/10]

QPointF QTransform::map ( const QPointF p) const

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QPointF object that is a copy of the given point, p, mapped into the coordinate system defined by this matrix.

Definition at line 1191 of file qtransform.cpp.

References TxNone, TxProject, TxRotate, TxScale, TxShear, TxTranslate, and QPoint::x().

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◆ map() [6/10]

QPolygon QTransform::map ( const QPolygon polygon) const

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QPolygon object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Note that the transformed coordinates are rounded to the nearest integer.

Definition at line 1446 of file qtransform.cpp.

References i, MAP, mapProjective(), qRound(), QList< T >::size(), QPolygonF::toPolygon(), TxProject, and TxTranslate.

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◆ map() [7/10]

QPolygonF QTransform::map ( const QPolygonF a) const

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Definition at line 1416 of file qtransform.cpp.

References i, MAP, mapProjective(), TxProject, and TxTranslate.

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◆ map() [8/10]

QRegion QTransform::map ( const QRegion region) const

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QRegion object that is a copy of the given region, mapped into the coordinate system defined by this matrix.

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

Definition at line 1491 of file qtransform.cpp.

References QVarLengthArray< T, Prealloc >::append(), QVarLengthArray< T, Prealloc >::constData(), copy(), QRect::isEmpty(), m11(), m22(), map, qRound(), qt_mapFillRect(), qt_regionToPath(), rect, QVarLengthArray< T, Prealloc >::reserve(), QVLABaseBase::size(), TxNone, TxScale, and TxTranslate.

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◆ map() [9/10]

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

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Maps the given coordinates x and y into the coordinate system defined by this matrix.

The resulting values are put in *tx and *ty, respectively. Note that the transformed coordinates are rounded to the nearest integer.

Definition at line 2051 of file qtransform.cpp.

References MAP, and qRound().

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◆ map() [10/10]

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 and *ty, respectively.

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'
}
qreal m12() const
Returns the vertical shearing factor.
Definition qtransform.h:203
bool isAffine() const
Returns true if the matrix represent an affine transformation, otherwise returns false.
Definition qtransform.h:165
qreal m22() const
Returns the vertical scaling factor.
Definition qtransform.h:215
qreal dy() const
Returns the vertical translation factor.
Definition qtransform.h:239
GLint GLint GLint GLint GLint x
[0]
GLfloat GLfloat GLfloat w
[0]
GLint y

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

See also
{QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 2037 of file qtransform.cpp.

References MAP.

◆ mapRect() [1/2]

QRect QTransform::mapRect ( const QRect rectangle) const

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Creates and returns a QRect object that is a copy of the given rectangle, mapped into the coordinate system defined by this matrix.

Note that the transformed coordinates are rounded to the nearest integer.

Definition at line 1893 of file qtransform.cpp.

References map, MAP, needsPerspectiveClipping(), qMax(), qMin(), qRound(), rect, TxProject, TxScale, and TxTranslate.

Referenced by QPrintPreviewWidgetPrivate::_q_fit(), QGraphicsItemGroup::addToGroup(), QGraphicsItem::boundingRegion(), QOpenGL2PaintEngineEx::clip(), QOutlineMapper::curveTo(), QGraphicsScenePrivate::drawItemHelper(), QGraphicsScenePrivate::drawItems(), QBlitterPaintEngine::drawPixmap(), QRasterPaintEngine::drawStaticTextItem(), QGraphicsScenePrivate::drawSubtreeRecursive(), QRasterPaintEngine::drawTextItem(), QBlitterPaintEngine::fillRect(), QSGDistanceFieldGlyphCache::glyphData(), QGraphicsItemPrivate::initStyleOption(), QPlatformInputContext::inputItemRectangle(), inputMethodQueryRectangle_helper(), QtPrivate::intersect_path(), QtPrivate::intersect_point(), QtPrivate::intersect_rect(), QGraphicsView::items(), QGraphicsScenePrivate::itemsAtPosition(), QGraphicsItem::mapRectFromItem(), QGraphicsItem::mapRectFromParent(), QGraphicsItem::mapRectFromScene(), QGraphicsItem::mapRectToItem(), QQuickItem::mapRectToItem(), QGraphicsItem::mapRectToParent(), QGraphicsItem::mapRectToScene(), QGraphicsViewPrivate::mapToViewRect(), QGraphicsViewPrivate::mapToViewRegion(), QGraphicsItem::prepareGeometryChange(), QGraphicsScenePrivate::processDirtyItemsRecursive(), qt_graphicsItem_highlightSelected(), QGraphicsItem::sceneBoundingRect(), QGraphicsItemPrivate::sceneEffectiveBoundingRect(), QWaylandTextInputPrivate::sendInputPanelState(), QGraphicsViewPrivate::setUpdateClip(), QPaintEngineEx::stroke(), glyph_metrics_t::transformed(), QSGSoftwareRenderableNode::update(), updateHelper(), QWin32PrintEnginePrivate::updateMetrics(), QGraphicsViewPrivate::updateRegion(), QtWaylandClient::QWaylandTextInputv1::updateState(), QtWaylandClient::QWaylandTextInputv2::updateState(), and QtWaylandClient::QWaylandTextInputv4::updateState().

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◆ mapRect() [2/2]

QRectF QTransform::mapRect ( const QRectF rectangle) const

Creates and returns a QRectF object that is a copy 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'
}

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() function instead.

See also
mapToPolygon(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 1963 of file qtransform.cpp.

References map, MAP, needsPerspectiveClipping(), qMax(), qMin(), rect, TxProject, TxScale, and TxTranslate.

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◆ mapToPolygon()

QPolygon QTransform::mapToPolygon ( const QRect rectangle) const

Creates and returns a 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)}.

See also
mapRect(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 1711 of file qtransform.cpp.

References MAP, qRound(), rect, and TxScale.

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◆ operator QVariant()

QTransform::operator QVariant ( ) const

Returns the transform as a QVariant.

Definition at line 2120 of file qtransform.cpp.

References QVariant::fromValue().

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◆ operator!=()

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

Returns true if this matrix is not equal to the given matrix, otherwise returns false.

Definition at line 817 of file qtransform.cpp.

References o, and operator==().

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◆ operator*()

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.

Definition at line 914 of file qtransform.cpp.

References m11(), m12(), m13(), m21(), m22(), m23(), m31(), m32(), m33(), qMax(), TxNone, TxProject, TxRotate, TxScale, TxShear, TxTranslate, and type().

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◆ operator*=() [1/2]

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

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Returns the result of multiplying this matrix by the given matrix.

Definition at line 829 of file qtransform.cpp.

References m11(), m12(), m13(), m21(), m22(), m23(), m31(), m32(), m33(), o, operator=(), qMax(), TxNone, TxProject, TxRotate, TxScale, TxShear, and TxTranslate.

Referenced by operator/=().

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◆ operator*=() [2/2]

QT_WARNING_PUSH QT_WARNING_DISABLE_FLOAT_COMPARE QTransform & QTransform::operator*= ( qreal  div)
inline

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Returns the result of performing an element-wise multiplication of this matrix with the given scalar.

Definition at line 247 of file qtransform.h.

References TxScale.

◆ operator+=()

QTransform & QTransform::operator+= ( qreal  div)
inline

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Returns the matrix obtained by adding the given scalar to each element of this matrix.

Definition at line 271 of file qtransform.h.

References TxProject.

◆ operator-=()

QTransform & QTransform::operator-= ( qreal  div)
inline

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Returns the matrix obtained by subtracting the given scalar from each element of this matrix.

Definition at line 287 of file qtransform.h.

References TxProject.

◆ operator/=()

QTransform & QTransform::operator/= ( qreal  div)
inline

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.Returns the result of performing an element-wise division of this matrix by the given scalar.

Definition at line 264 of file qtransform.h.

References operator*=().

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◆ operator=() [1/2]

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

Assigns the given matrix's values to this matrix.

◆ operator=() [2/2]

QTransform & QTransform::operator= ( QTransform &&  other)
defaultnoexcept

Referenced by operator*=().

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◆ operator==()

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

Returns true if this matrix is equal to the given matrix, otherwise returns false.

Definition at line 776 of file qtransform.cpp.

References o.

Referenced by operator!=().

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◆ quadToQuad()

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

Creates a transformation matrix, trans, that maps a four-sided polygon, one, to another four-sided polygon, two.

Returns true if the transformation is possible; otherwise returns false.

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

See also
squareToQuad(), quadToSquare()

Definition at line 1849 of file qtransform.cpp.

References quadToSquare(), and squareToQuad().

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◆ quadToSquare()

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

Creates a transformation matrix, trans, that maps a four-sided polygon, quad, to a unit square.

Returns true if the transformation is constructed or false if such a transformation does not exist.

See also
squareToQuad(), quadToQuad()

Definition at line 1826 of file qtransform.cpp.

References inverted(), quad, and squareToQuad().

Referenced by quadToQuad().

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◆ reset()

void QTransform::reset ( )

Resets the matrix to an identity matrix, i.e.

all elements are set to zero, except m11 and m22 (specifying the scale) and m33 which are set to 1.

See also
QTransform(), isIdentity(), {QTransform::Basic Matrix Operations}{Basic Matrix Operations}

Definition at line 1036 of file qtransform.cpp.

References QTransform().

Referenced by QOutlineMapper::clipElements(), QOutlineMapper::endOutline(), QPainterState::init(), and QDeclarativeGeoMap::updateItemToWindowTransform().

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◆ rotate()

QTransform & QTransform::rotate ( qreal  a,
Qt::Axis  axis = Qt::ZAxis,
qreal  distanceToPlane = 1024.0f 
)
\since 6.5

Rotates the coordinate system counterclockwise by the given angle \a a
about the specified \a axis at distance \a distanceToPlane from the
screen and returns a reference to the matrix.

! [transform-rotate-note] Note that if you apply a QTransform to a point defined in widget coordinates, the direction of the rotation will be clockwise because the y-axis points downwards.

The angle is specified in degrees. ! [transform-rotate-note]

If \a distanceToPlane is zero, it will be ignored. This is suitable
for implementing orthographic projections where the z coordinate should
be dropped rather than projected.

\sa setMatrix()

Definition at line 557 of file qtransform.cpp.

References nanWarning(), Q_FALLTHROUGH, qCos(), qDegreesToRadians(), qIsNaN(), qIsNull(), qSin(), TxNone, TxProject, TxRotate, TxScale, TxShear, TxTranslate, Qt::YAxis, and Qt::ZAxis.

Referenced by QEvdevTouchScreenHandler::QEvdevTouchScreenHandler(), QTuioHandler::QTuioHandler(), QGraphicsItemGroup::addToGroup(), QWindowsVistaStylePrivate::drawBackgroundThruNativeBuffer(), QQC2::QWindowsXPStylePrivate::drawBackgroundThruNativeBuffer(), QPaintEngineEx::drawPixmapFragments(), QBezier::inflectionPoints(), moveCircle(), overview_viewfinder_orientation(), qt_getInflectionPoints(), QGraphicsItemGroup::removeFromGroup(), QSvgAnimateTransform::resolveMatrix(), QQuickContext2D::rotate(), and QQuickFlipablePrivate::setBackTransform().

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◆ rotateRadians()

QTransform & QTransform::rotateRadians ( qreal  a,
Qt::Axis  axis = Qt::ZAxis,
qreal  distanceToPlane = 1024.0f 
)
\since 6.5

Rotates the coordinate system counterclockwise by the given angle \a a
about the specified \a axis at distance \a distanceToPlane from the
screen and returns a reference to the matrix.

! [transform-rotate-radians-note] Note that if you apply a QTransform to a point defined in widget coordinates, the direction of the rotation will be clockwise because the y-axis points downwards.

The angle is specified in radians. ! [transform-rotate-radians-note]

If \a distanceToPlane is zero, it will be ignored. This is suitable
for implementing orthographic projections where the z coordinate should
be dropped rather than projected.

\sa setMatrix()

Definition at line 682 of file qtransform.cpp.

References nanWarning(), Q_FALLTHROUGH, qCos(), qIsNaN(), qIsNull(), qSin(), TxNone, TxProject, TxRotate, TxScale, TxShear, TxTranslate, Qt::YAxis, and Qt::ZAxis.

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◆ scale()

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

Scales the coordinate system by sx horizontally and sy vertically, and returns a reference to the matrix.

See also
setMatrix()

Definition at line 424 of file qtransform.cpp.

References nanWarning(), Q_FALLTHROUGH, qIsNaN(), TxNone, TxProject, TxRotate, TxScale, TxShear, and TxTranslate.

Referenced by QEvdevTouchScreenHandler::QEvdevTouchScreenHandler(), QTuioHandler::QTuioHandler(), QGraphicsItemGroup::addToGroup(), QCoreTextFontEngine::alphaMapBoundingBox(), QFontEngineFT::bitmapForGlyph(), QAlphaPaintEnginePrivate::drawAlphaImage(), QGraphicsScenePrivate::drawItemHelper(), QPaintEngineEx::drawTiledPixmap(), QAlphaPaintEngine::flushAndInit(), QSGDistanceFieldGlyphCache::glyphData(), QOpenGL2PaintEngineExPrivate::prepareForCachedGlyphDraw(), QGraphicsItemGroup::removeFromGroup(), QGraphicsView::render(), QGraphicsScene::render(), QSvgAnimateTransform::resolveMatrix(), QQuickContext2D::scale(), and QWidgetPrivate::setSystemClip().

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◆ setMatrix()

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

Sets the matrix elements to the specified values, m11, m12, m13 m21, m22, m23 m31, m32 and m33.

Note that this function replaces the previous values. QTransform provides the translate(), rotate(), scale() and shear() convenience functions to manipulate the various matrix elements based on the currently defined coordinate system.

See also
QTransform()

Definition at line 1874 of file qtransform.cpp.

References m11(), m12(), m13(), m21(), m22(), m23(), m31(), m32(), m33(), TxNone, and TxProject.

Referenced by squareToQuad().

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◆ shear()

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

Shears the coordinate system by sh horizontally and sv vertically, and returns a reference to the matrix.

See also
setMatrix()

Definition at line 490 of file qtransform.cpp.

References nanWarning(), Q_FALLTHROUGH, qIsNaN(), TxNone, TxProject, TxRotate, TxScale, TxShear, and TxTranslate.

Referenced by QSvgAnimateTransform::resolveMatrix(), and QQuickContext2D::shear().

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◆ squareToQuad()

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

Creates a transformation matrix, trans, that maps a unit square to a four-sided polygon, quad.

Returns true if the transformation is constructed or false if such a transformation does not exist.

See also
quadToSquare(), quadToQuad()

Definition at line 1761 of file qtransform.cpp.

References d, e, quad, and setMatrix().

Referenced by quadToQuad(), and quadToSquare().

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◆ translate()

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

◆ transposed()

QTransform QTransform::transposed ( ) const

Returns the transpose of this matrix.

Definition at line 285 of file qtransform.cpp.

◆ type()

QTransform::TransformationType QTransform::type ( ) const

Returns the transformation type of this matrix.

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, because 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.

Definition at line 2072 of file qtransform.cpp.

References dot(), Q_FALLTHROUGH, qFuzzyIsNull(), TxNone, TxProject, TxRotate, TxScale, TxShear, and TxTranslate.

Referenced by QPixmapConvolutionFilter::draw(), QOpenGL2PaintEngineExPrivate::drawCachedGlyphs(), QGraphicsScenePrivate::drawItemHelper(), QGraphicsScenePrivate::drawSubtreeRecursive(), QOutlineMapper::endOutline(), isScaling(), QGraphicsScenePrivate::itemsAtPosition(), QStyleOptionGraphicsItem::levelOfDetailFromTransform(), QQC2::QStyleOptionGraphicsItem::levelOfDetailFromTransform(), operator*(), QQC2::qDrawBorderPixmap(), qt_mapFillRect(), QOpenGL2PaintEngineExPrivate::setBrush(), QSpanData::setupMatrix(), QX11PlatformPixmap::transformed(), QX11PaintEngine::updateMatrix(), QRasterPaintEngine::updatePen(), QGraphicsItemPrivate::updateSceneTransformFromParent(), and QPaintEnginePrivate::updateSystemClip().

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Friends And Related Symbol Documentation

◆ operator*() [1/8]

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

This is the same as {matrix}.map({line}).

See also
QTransform::map()

Definition at line 338 of file qtransform.h.

◆ operator*() [2/8]

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

This is the same as {matrix}.map({line}).

See also
QTransform::map()

Definition at line 336 of file qtransform.h.

◆ operator*() [3/8]

QPainterPath operator* ( const QPainterPath path,
const QTransform matrix 
)
related
Since
4.3

This is the same as {matrix}.map({path}).

See also
QTransform::map()

Definition at line 300 of file qpainterpath.h.

◆ operator*() [4/8]

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

This is the same as {matrix}.map({point}).

See also
QTransform::map()

Definition at line 332 of file qtransform.h.

◆ operator*() [5/8]

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

Same as {matrix}.map({point}).

See also
QTransform::map()

Definition at line 334 of file qtransform.h.

◆ operator*() [6/8]

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

This is the same as {matrix}.map({polygon}).

See also
QTransform::map()

Definition at line 340 of file qtransform.h.

◆ operator*() [7/8]

QPolygonF operator* ( const QPolygonF polygon,
const QTransform matrix 
)
related
Since
4.3

This is the same as {matrix}.map({polygon}).

See also
QTransform::map()

Definition at line 342 of file qtransform.h.

◆ operator*() [8/8]

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

This is the same as {matrix}.map({region}).

See also
QTransform::map()

Definition at line 344 of file qtransform.h.

◆ operator<< [1/2]

Q_GUI_EXPORT QDataStream & operator<< ( QDataStream s,
const Affine &  m 
)
friend

Definition at line 2368 of file qtransform.cpp.

◆ operator<<() [2/2]

QDataStream & operator<< ( QDataStream stream,
const QTransform matrix 
)
related
Since
4.3

Writes the given matrix to the given stream and returns a reference to the stream.

See also
{Serializing Qt Data Types}

Definition at line 1052 of file qtransform.cpp.

◆ operator>> [1/2]

Q_GUI_EXPORT QDataStream & operator>> ( QDataStream s,
QTransform::Affine &  m 
)
friend

Definition at line 2342 of file qtransform.cpp.

◆ operator>>() [2/2]

QDataStream & operator>> ( QDataStream stream,
QTransform matrix 
)
related
Since
4.3

Reads the given matrix from the given stream and returns a reference to the stream.

See also
{Serializing Qt Data Types}

Definition at line 1076 of file qtransform.cpp.

◆ qFuzzyCompare()

bool qFuzzyCompare ( const QTransform t1,
const QTransform t2 
)
related
Since
4.6

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

Definition at line 306 of file qtransform.h.

References qFuzzyCompare(), and t2.

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◆ qHash()

size_t qHash ( const QTransform key,
size_t  seed 
)
related
Since
5.6

Returns the hash value for key, using seed to seed the calculation.

Definition at line 796 of file qtransform.cpp.

References hash, and seed.


The documentation for this class was generated from the following files: