Struct Affine

pub struct Affine(/* private fields */);

A 2D affine transform.

Implementations

impl Affine

pub const IDENTITY: Affine

The identity transform.

pub const FLIP_Y: Affine

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

pub const FLIP_X: Affine

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) -> Affine

where 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

impl Clone for Affine

fn clone(&self) -> Affine

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Affine

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

Formats the value using the given formatter.

impl Default for Affine

fn default() -> Affine

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for Affine

fn deserialize<__D>( __deserializer: __D, ) -> Result<Affine, <__D as Deserializer<'de>>::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl From<TranslateScale> for Affine

fn from(ts: TranslateScale) -> Affine

Converts to this type from the input type.

impl Into<Affine> for GlifMatrix

fn into(self) -> Affine

Converts this type into the (usually inferred) input type.

impl<'a> Mul<&'a BezPath> for Affine

type Output = BezPath

The resulting type after applying the * operator.

fn mul(self, other: &BezPath) -> BezPath

Performs the * operation.

impl Mul<Arc> for Affine

type Output = Arc

The resulting type after applying the * operator.

fn mul(self, arc: Arc) -> <Affine as Mul<Arc>>::Output

Performs the * operation.

impl Mul<BezPath> for Affine

type Output = BezPath

The resulting type after applying the * operator.

fn mul(self, other: BezPath) -> BezPath

Performs the * operation.

impl Mul<Circle> for Affine

type Output = Ellipse

The resulting type after applying the * operator.

fn mul(self, other: Circle) -> <Affine as Mul<Circle>>::Output

Performs the * operation.

impl Mul<CubicBez> for Affine

type Output = CubicBez

The resulting type after applying the * operator.

fn mul(self, c: CubicBez) -> CubicBez

Performs the * operation.

impl Mul<Ellipse> for Affine

type Output = Ellipse

The resulting type after applying the * operator.

fn mul(self, other: Ellipse) -> <Affine as Mul<Ellipse>>::Output

Performs the * operation.

impl Mul<Line> for Affine

type Output = Line

The resulting type after applying the * operator.

fn mul(self, other: Line) -> Line

Performs the * operation.

impl Mul<PathEl> for Affine

type Output = PathEl

The resulting type after applying the * operator.

fn mul(self, other: PathEl) -> PathEl

Performs the * operation.

impl Mul<PathSeg> for Affine

type Output = PathSeg

The resulting type after applying the * operator.

fn mul(self, other: PathSeg) -> PathSeg

Performs the * operation.

impl Mul<Point> for Affine

type Output = Point

The resulting type after applying the * operator.

fn mul(self, other: Point) -> Point

Performs the * operation.

impl Mul<QuadBez> for Affine

type Output = QuadBez

The resulting type after applying the * operator.

fn mul(self, other: QuadBez) -> QuadBez

Performs the * operation.

impl Mul for Affine

type Output = Affine

The resulting type after applying the * operator.

fn mul(self, other: Affine) -> Affine

Performs the * operation.

impl MulAssign for Affine

fn mul_assign(&mut self, other: Affine)

Performs the *= operation.

impl PartialEq for Affine

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

Tests for self and other values to be equal, and is used by ==.

const fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Serialize for Affine

fn serialize<__S>( &self, __serializer: __S, ) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl Copy for Affine

impl StructuralPartialEq for Affine