Struct rute::auto::matrix::Matrix

pub struct Matrix<'a> { /* private fields */ }

Notice these docs are heavy WIP and not very relevent yet

A matrix specifies how to translate, scale, shear or rotate the coordinate system, and is typically used when rendering graphics. QMatrix, in contrast to QTransform, does not allow perspective transformations. QTransform is the recommended transformation class in Qt.

A QMatrix object can be built using the setMatrix(), scale(), rotate(), translate() and shear() functions. Alternatively, it can be built by applying 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 QMatrix 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.

QMatrix 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). In addition, QMatrix provides the determinant() function returning the matrix’s determinant.

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

Rendering Graphics

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

By default, 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 coordinate system documentation.

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

• 

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

• 

Basic Matrix Operations

A QMatrix object contains a 3 x 3 matrix. The dx and dy elements specify horizontal and vertical translation. The m11 and m22 elements specify horizontal and vertical scaling. And finally, the m21 and m12 elements specify horizontal and vertical shearing.

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

The point (x, y) is the original point, and (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() and shear() convenience functions, The currently set values can be retrieved using the m11(), m12(), m21(), m22(), dx() and dy() functions.

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 and m22 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 carefully setting both the shearing factors and the scaling factors.

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

• 

See also: Painter Transform {Coordinate System} {painting/affine}{Affine Transformations Example} {Transformations Example}

Licence

The documentation is an adoption of the original Qt Documentation and provided herein is licensed under the terms of the GNU Free Documentation License version 1.3 as published by the Free Software Foundation.

Implementations

impl<'a> Matrix<'a>

pub fn new() -> Matrix<'a>

pub fn m11(&self) -> f32

Returns the horizontal scaling factor.

See also: [scale()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn m12(&self) -> f32

Returns the vertical shearing factor.

See also: [shear()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn m21(&self) -> f32

Returns the horizontal shearing factor.

See also: [shear()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn m22(&self) -> f32

Returns the vertical scaling factor.

See also: [scale()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn dx(&self) -> f32

Returns the horizontal translation factor.

See also: [translate()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn dy(&self) -> f32

Returns the vertical translation factor.

See also: [translate()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn map_rect<R: RectTrait<'a>>(&self, arg0: &R) -> Rect<'_>

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:

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

See also: {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

Overloads Creates and returns a QPointF object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QLineF object that is a copy of the given line, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads 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.

Overloads Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

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:

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

See also: {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

Overloads Creates and returns a QPointF object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QLineF object that is a copy of the given line, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads 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.

Overloads Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

pub fn map_rect_2<R: RectFTrait<'a>>(&self, arg0: &R) -> RectF<'_>

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

pub fn map_3<P: PointTrait<'a>>(&self, p: &P) -> Point<'_>

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:

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

See also: {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

Overloads Creates and returns a QPointF object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QLineF object that is a copy of the given line, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads 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.

Overloads Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn map_4<P: PointFTrait<'a>>(&self, p: &P) -> PointF<'_>

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:

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

See also: {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

Overloads Creates and returns a QPointF object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QLineF object that is a copy of the given line, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads 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.

Overloads Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn map_5<L: LineTrait<'a>>(&self, l: &L) -> Line<'_>

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:

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

See also: {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

Overloads Creates and returns a QPointF object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QLineF object that is a copy of the given line, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads 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.

Overloads Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn map_6<L: LineFTrait<'a>>(&self, l: &L) -> LineF<'_>

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:

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

See also: {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

Overloads Creates and returns a QPointF object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QLineF object that is a copy of the given line, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads 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.

Overloads Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn map_7<P: PolygonFTrait<'a>>(&self, a: &P) -> PolygonF<'_>

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:

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

See also: {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

Overloads Creates and returns a QPointF object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QLineF object that is a copy of the given line, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads 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.

Overloads Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn map_8<P: PolygonTrait<'a>>(&self, a: &P) -> Polygon<'_>

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:

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

See also: {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

Overloads Creates and returns a QPointF object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QLineF object that is a copy of the given line, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads 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.

Overloads Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn map_9<R: RegionTrait<'a>>(&self, r: &R) -> Region<'_>

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:

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

See also: {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

Overloads Creates and returns a QPointF object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QLineF object that is a copy of the given line, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads 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.

Overloads Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn map_to_polygon<R: RectTrait<'a>>(&self, r: &R) -> Polygon<'_>

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:

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

See also: {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

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:

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: [map_to_polygon()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

Overloads 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.

Overloads Creates and returns a QPointF object that is a copy of the given point, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QLineF object that is a copy of the given line, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads Creates and returns a QPolygonF object that is a copy of the given polygon, mapped into the coordinate system defined by this matrix.

Overloads 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.

Overloads 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.

Overloads Creates and returns a QPainterPath object that is a copy of the given path, mapped into the coordinate system defined by this matrix.

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

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:

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: [map_rect()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn reset(&self) -> &Self

Resets the matrix to an identity matrix, i.e. all elements are set to zero, except m11 and m22 (specifying the scale) which are set to 1.

See also: [q_matrix()] [is_identity()] {QMatrix#Basic Matrix Operations}{Basic Matrix Operations}

pub fn is_identity(&self) -> bool

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

See also: [reset()]

pub fn scale(&self, sx: f32, sy: f32) -> Option<Matrix<'_>>

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

See also: [set_matrix()]

pub fn shear(&self, sh: f32, sv: f32) -> Option<Matrix<'_>>

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

See also: [set_matrix()]

pub fn rotate(&self, a: f32) -> Option<Matrix<'_>>

Rotates the coordinate system the given degrees counterclockwise.

Note that if you apply a QMatrix to a point defined in widget coordinates, the direction of the rotation will be clockwise because the y-axis points downwards.

Returns a reference to the matrix.

See also: [set_matrix()]

pub fn is_invertible(&self) -> bool

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

See also: [inverted()]

pub fn determinant(&self) -> f32

Returns the matrix’s determinant.

Trait Implementations

impl<'a> Clone for Matrix<'a>

fn clone(&self) -> Matrix<'a>

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<'a> MatrixTrait<'a> for Matrix<'a>