pub struct Affine(_);
Expand description

A 2D affine transform.

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impl Affine

pub const IDENTITY: Affine = Affine::scale(1.0)

The identity transform.

pub const FLIP_Y: Affine = Affine::new([1.0, 0., 0., -1.0, 0., 0.])

A transform that is flipped on the y-axis. Useful for converting between y-up and y-down spaces.

pub const FLIP_X: Affine = Affine::new([-1.0, 0., 0., 1.0, 0., 0.])

A transform that is flipped on the x-axis.

pub const fn new(c: [f64; 6]) -> Affine

Construct an affine transform from coefficients.

If the coefficients are (a, b, c, d, e, f), then the resulting transformation represents this augmented matrix:

| a c e |
| b d f |
| 0 0 1 |

Note that this convention is transposed from PostScript and Direct2D, but is consistent with the Wikipedia formulation of affine transformation as augmented matrix. The idea is that (A * B) * v == A * (B * v), where * is the Mul trait.

pub const fn scale(s: f64) -> Affine

An affine transform representing uniform scaling.

pub const fn scale_non_uniform(s_x: f64, s_y: f64) -> Affine

An affine transform representing non-uniform scaling with different scale values for x and y

pub fn rotate(th: f64) -> Affine

An affine transform representing rotation.

The convention for rotation is that a positive angle rotates a positive X direction into positive Y. Thus, in a Y-down coordinate system (as is common for graphics), it is a clockwise rotation, and in Y-up (traditional for math), it is anti-clockwise.

The angle, th, is expressed in radians.

pub fn rotate_about(th: f64, center: Point) -> Affine

An affine transform representing a rotation of th radians about center.

See Affine::rotate for more info.

pub fn translate<V>(p: V) -> Affinewhere V: Into<Vec2>,

An affine transform representing translation.

pub fn skew(skew_x: f64, skew_y: f64) -> Affine

An affine transformation representing a skew.

The skew_x and skew_y parameters represent skew factors for the horizontal and vertical directions, respectively.

This is commonly used to generate a faux oblique transform for font rendering. In this case, you can slant the glyph 20 degrees clockwise in the horizontal direction (assuming a Y-up coordinate system):

let oblique_transform = kurbo::Affine::skew(20f64.to_radians().tan(), 0.0);

pub fn pre_rotate(self, th: f64) -> Affine

A rotation by th followed by self.

Equivalent to self * Affine::rotate(th)

pub fn pre_rotate_about(self, th: f64, center: Point) -> Affine

A rotation by th about center followed by self.

Equivalent to self * Affine::rotate_about(th)

pub fn pre_scale(self, scale: f64) -> Affine

A scale by scale followed by self.

Equivalent to self * Affine::scale(scale)

pub fn pre_scale_non_uniform(self, scale_x: f64, scale_y: f64) -> Affine

A scale by (scale_x, scale_y) followed by self.

Equivalent to self * Affine::scale_non_uniform(scale_x, scale_y)

pub fn pre_translate(self, trans: Vec2) -> Affine

A translation of trans followed by self.

Equivalent to self * Affine::translate(trans)

pub fn then_rotate(self, th: f64) -> Affine

self followed by a rotation of th.

Equivalent to Affine::rotate(th) * self

pub fn then_rotate_about(self, th: f64, center: Point) -> Affine

self followed by a rotation of th about `center.

Equivalent to Affine::rotate_about(th, center) * self

pub fn then_scale(self, scale: f64) -> Affine

self followed by a scale of scale.

Equivalent to Affine::scale(scale) * self

pub fn then_scale_non_uniform(self, scale_x: f64, scale_y: f64) -> Affine

self followed by a scale of (scale_x, scale_y).

Equivalent to Affine::scale_non_uniform(scale_x, scale_y) * self

pub fn then_translate(self, trans: Vec2) -> Affine

self followed by a translation of trans.

Equivalent to Affine::translate(trans) * self

pub fn map_unit_square(rect: Rect) -> Affine

Creates an affine transformation that takes the unit square to the given rectangle.

Useful when you want to draw into the unit square but have your output fill any rectangle. In this case push the Affine onto the transform stack.

pub fn as_coeffs(self) -> [f64; 6]

Get the coefficients of the transform.

pub fn determinant(self) -> f64

Compute the determinant of this transform.

pub fn inverse(self) -> Affine

Compute the inverse transform.

Produces NaN values when the determinant is zero.

pub fn transform_rect_bbox(self, rect: Rect) -> Rect

Compute the bounding box of a transformed rectangle.

Returns the minimal Rect that encloses the given Rect after affine transformation. If the transform is axis-aligned, then this bounding box is “tight”, in other words the returned Rect is the transformed rectangle.

The returned rectangle always has non-negative width and height.

pub fn is_finite(&self) -> bool

Is this map finite?

pub fn is_nan(&self) -> bool

Is this map NaN?

pub fn translation(self) -> Vec2

Returns the translation part of this affine map ((self.0[4], self.0[5])).

pub fn with_translation(self, trans: Vec2) -> Affine

Replaces the translation portion of this affine map

The translation can be seen as being applied after the linear part of the map.

Trait Implementations§

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impl Clone for Affine

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fn clone(&self) -> Affine

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Data for Affine

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fn same(&self, other: &Affine) -> bool

Determine whether two values are the same. Read more
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impl Debug for Affine

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fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more
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impl Default for Affine

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fn default() -> Affine

Returns the “default value” for a type. Read more
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impl From<TranslateScale> for Affine

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fn from(ts: TranslateScale) -> Affine

Converts to this type from the input type.
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impl<'a> Mul<&'a BezPath> for Affine

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type Output = BezPath

The resulting type after applying the * operator.
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fn mul(self, other: &BezPath) -> BezPath

Performs the * operation. Read more
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impl Mul<Affine> for Affine

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type Output = Affine

The resulting type after applying the * operator.
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fn mul(self, other: Affine) -> Affine

Performs the * operation. Read more
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impl Mul<Affine> for f64

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type Output = Affine

The resulting type after applying the * operator.
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fn mul(self, other: Affine) -> Affine

Performs the * operation. Read more
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impl Mul<Arc> for Affine

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type Output = Arc

The resulting type after applying the * operator.
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fn mul(self, arc: Arc) -> <Affine as Mul<Arc>>::Output

Performs the * operation. Read more
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impl Mul<BezPath> for Affine

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type Output = BezPath

The resulting type after applying the * operator.
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fn mul(self, other: BezPath) -> BezPath

Performs the * operation. Read more
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impl Mul<Circle> for Affine

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type Output = Ellipse

The resulting type after applying the * operator.
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fn mul(self, other: Circle) -> <Affine as Mul<Circle>>::Output

Performs the * operation. Read more
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impl Mul<CubicBez> for Affine

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type Output = CubicBez

The resulting type after applying the * operator.
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fn mul(self, c: CubicBez) -> CubicBez

Performs the * operation. Read more
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impl Mul<Ellipse> for Affine

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type Output = Ellipse

The resulting type after applying the * operator.
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fn mul(self, other: Ellipse) -> <Affine as Mul<Ellipse>>::Output

Performs the * operation. Read more
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impl Mul<Line> for Affine

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type Output = Line

The resulting type after applying the * operator.
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fn mul(self, other: Line) -> Line

Performs the * operation. Read more
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impl Mul<PathEl> for Affine

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type Output = PathEl

The resulting type after applying the * operator.
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fn mul(self, other: PathEl) -> PathEl

Performs the * operation. Read more
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impl Mul<PathSeg> for Affine

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type Output = PathSeg

The resulting type after applying the * operator.
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fn mul(self, other: PathSeg) -> PathSeg

Performs the * operation. Read more
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impl Mul<Point> for Affine

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type Output = Point

The resulting type after applying the * operator.
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fn mul(self, other: Point) -> Point

Performs the * operation. Read more
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impl Mul<QuadBez> for Affine

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type Output = QuadBez

The resulting type after applying the * operator.
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fn mul(self, other: QuadBez) -> QuadBez

Performs the * operation. Read more
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impl MulAssign<Affine> for Affine

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fn mul_assign(&mut self, other: Affine)

Performs the *= operation. Read more
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impl PartialEq<Affine> for Affine

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fn eq(&self, other: &Affine) -> bool

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl Copy for Affine

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impl StructuralPartialEq for Affine

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> AnyEq for Twhere T: Any + PartialEq<T>,

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fn equals(&self, other: &(dyn Any + 'static)) -> bool

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fn as_any(&self) -> &(dyn Any + 'static)

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Immutably borrows from an owned value. Read more
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Returns the argument unchanged.

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impl<T> Instrument for T

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided [Span], returning an Instrumented wrapper. Read more
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Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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Calls U::from(self).

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fn is_default(&self) -> bool

Checks that type has a default value.
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impl<T> Pointable for T

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const ALIGN: usize = mem::align_of::<T>()

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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Dereferences the given pointer. Read more
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Mutably dereferences the given pointer. Read more
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Drops the object pointed to by the given pointer. Read more
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fn round_from(x: T) -> T

Performs the conversion.
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Performs the conversion.
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The type returned in the event of a conversion error.
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Performs the conversion.
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Performs the conversion.
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