Struct rute::auto::transform::Transform

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

Notice these docs are heavy WIP and not very relevent yet

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

QTransform differs from QMatrix in that it is a true 3x3 matrix, allowing perspective transformations. QTransform’s toAffine() method allows casting QTransform to QMatrix. If a perspective transformation has been specified on the matrix, then the conversion will cause loss of data.

QTransform is the recommended transformation class in Qt.

A QTransform 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 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.

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 QTransform. For example:

• 

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

• 

Basic Matrix Operations

A QTransform object contains a 3 x 3 matrix. The m31 ( dx) and m32 ( dy) elements specify horizontal and vertical translation. The m11 and m22 elements specify horizontal and vertical scaling. The m21 and m12 elements specify horizontal and vertical shearing. And finally, the m13 and m23 elements specify horizontal and vertical projection, with m33 as an additional projection factor.

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

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(), m13(), m21(), m22(), m23(), m31(), m32(), m33(), 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, m22, and m33 set to 1 (all others are set to 0) mapping a point to itself. Shearing is controlled by m12 and m21. Setting these elements to values different from zero will twist the coordinate system. Rotation is achieved by setting both the shearing factors and the scaling factors. Perspective transformation is achieved by setting both the projection factors and the scaling factors.

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

• 

See also: Painter {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> Transform<'a>

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

pub fn is_affine(&self) -> bool

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

pub fn is_identity(&self) -> bool

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

See also: [reset()]

pub fn is_invertible(&self) -> bool

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

See also: [inverted()]

pub fn is_scaling(&self) -> bool

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

See also: [reset()]

pub fn is_rotating(&self) -> bool

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()]

pub fn is_translating(&self) -> bool

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

See also: [reset()]

pub fn get_type(&self) -> TransformationType

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.

pub fn determinant(&self) -> f32

Returns the matrix’s determinant.

pub fn det(&self) -> f32

Returns the matrix’s determinant. Use determinant() instead.

Returns the matrix’s determinant.

pub fn m11(&self) -> f32

Returns the horizontal scaling factor.

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

pub fn m12(&self) -> f32

Returns the vertical shearing factor.

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

pub fn m13(&self) -> f32

Returns the horizontal projection factor.

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

pub fn m21(&self) -> f32

Returns the horizontal shearing factor.

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

pub fn m22(&self) -> f32

Returns the vertical scaling factor.

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

pub fn m23(&self) -> f32

Returns the vertical projection factor.

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

pub fn m31(&self) -> f32

Returns the horizontal translation factor.

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

pub fn m32(&self) -> f32

Returns the vertical translation factor.

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

pub fn m33(&self) -> f32

Returns the division factor.

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

pub fn dx(&self) -> f32

Returns the horizontal translation factor.

See also: [m31()] [translate()] {QTransform#Basic Matrix Operations}{Basic Matrix Operations}

pub fn dy(&self) -> f32

Returns the vertical translation factor.

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

pub fn adjoint(&self) -> Transform<'_>

Returns the adjoint of this matrix.

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

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<Transform<'_>>

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, axis: Axis) -> Option<Transform<'_>>

Rotates the coordinate system counterclockwise by the given angle about the specified axis and returns a reference to the matrix.

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.

See also: [set_matrix()]

Rotates the coordinate system counterclockwise by the given angle about the specified axis and returns a reference to the matrix.

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.

See also: [set_matrix()]

pub fn rotate_radians(&self, a: f32, axis: Axis) -> Option<Transform<'_>>

Rotates the coordinate system counterclockwise by the given angle about the specified axis and returns a reference to the matrix.

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.

See also: [set_matrix()]

pub fn square_to_quad<P: PolygonFTrait<'a>, T: TransformTrait<'a>>(
    square: &P,
    result: &T
) -> bool

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: [quad_to_square()] [quad_to_quad()]

pub fn quad_to_square<P: PolygonFTrait<'a>, T: TransformTrait<'a>>(
    quad: &P,
    result: &T
) -> bool

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: [square_to_quad()] [quad_to_quad()]

pub fn quad_to_quad<P: PolygonFTrait<'a>, T: TransformTrait<'a>>(
    one: &P,
    two: &P,
    result: &T
) -> bool

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: [square_to_quad()] [quad_to_square()]

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) and m33 which are set to 1.

See also: [q_transform()] [is_identity()] {QTransform#Basic Matrix Operations}{Basic Matrix Operations}

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

Overloads Creates and returns a QPointF object that is a copy of the given point, p, 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, l, 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()] {QTransform#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()] {QTransform#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.

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: {QTransform#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.

pub fn map_2<P: PointFTrait<'a>>(&self, p: &P) -> PointF<'_>

Overloads Creates and returns a QPointF object that is a copy of the given point, p, 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, l, 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()] {QTransform#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()] {QTransform#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.

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: {QTransform#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.

pub fn map_3<L: LineTrait<'a>>(&self, l: &L) -> Line<'_>

Overloads Creates and returns a QPointF object that is a copy of the given point, p, 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, l, 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()] {QTransform#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()] {QTransform#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.

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: {QTransform#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.

pub fn map_4<L: LineFTrait<'a>>(&self, l: &L) -> LineF<'_>

Overloads Creates and returns a QPointF object that is a copy of the given point, p, 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, l, 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()] {QTransform#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()] {QTransform#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.

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: {QTransform#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.

pub fn map_5<P: PolygonFTrait<'a>>(&self, a: &P) -> PolygonF<'_>

Overloads Creates and returns a QPointF object that is a copy of the given point, p, 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, l, 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()] {QTransform#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()] {QTransform#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.

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: {QTransform#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.

pub fn map_6<P: PolygonTrait<'a>>(&self, a: &P) -> Polygon<'_>

Overloads Creates and returns a QPointF object that is a copy of the given point, p, 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, l, 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()] {QTransform#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()] {QTransform#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.

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: {QTransform#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.

pub fn map_7<R: RegionTrait<'a>>(&self, r: &R) -> Region<'_>

Overloads Creates and returns a QPointF object that is a copy of the given point, p, 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, l, 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()] {QTransform#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()] {QTransform#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.

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: {QTransform#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.

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

Overloads Creates and returns a QPointF object that is a copy of the given point, p, 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, l, 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()] {QTransform#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()] {QTransform#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.

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: {QTransform#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 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()] {QTransform#Basic Matrix Operations}{Basic Matrix Operations}

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

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()] {QTransform#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()] {QTransform#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 to_affine(&self) -> Option<Matrix<'_>>

Overloads Creates and returns a QPointF object that is a copy of the given point, p, 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, l, 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()] {QTransform#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()] {QTransform#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.

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: {QTransform#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.

Overloads Creates and returns a QPointF object that is a copy of the given point, p, 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, l, 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()] {QTransform#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()] {QTransform#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.

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: {QTransform#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.

Returns the QTransform as an affine matrix.

Warning: If a perspective transformation has been specified, then the conversion will cause loss of data.

pub fn from_translate(dx: f32, dy: f32) -> Transform<'a>

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.

pub fn from_scale(dx: f32, dy: f32) -> Transform<'a>

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.

Trait Implementations

impl<'a> Clone for Transform<'a>

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<'a> TransformTrait<'a> for Transform<'a>