Struct lyon::bezier::CubicBezierSegment

pub struct CubicBezierSegment {
    pub from: TypedPoint2D<f32, UnknownUnit>,
    pub ctrl1: TypedPoint2D<f32, UnknownUnit>,
    pub ctrl2: TypedPoint2D<f32, UnknownUnit>,
    pub to: TypedPoint2D<f32, UnknownUnit>,
}

A 2d curve segment defined by four points: the beginning of the segment, two control points and the end of the segment.

The curve is defined by equation:² ∀ t ∈ [0..1], P(t) = (1 - t)³ * from + 3 * (1 - t)² * t * ctrl1 + 3 * t² * (1 - t) * ctrl2 + t³ * to

Fields

from: TypedPoint2D<f32, UnknownUnit>

ctrl1: TypedPoint2D<f32, UnknownUnit>

ctrl2: TypedPoint2D<f32, UnknownUnit>

to: TypedPoint2D<f32, UnknownUnit>

Methods

impl CubicBezierSegment

fn sample(&self, t: f32) -> TypedPoint2D<f32, UnknownUnit>

Sample the curve at t (expecting t between 0 and 1).

fn sample_x(&self, t: f32) -> f32

Sample the x coordinate of the curve at t (expecting t between 0 and 1).

fn sample_y(&self, t: f32) -> f32

Sample the y coordinate of the curve at t (expecting t between 0 and 1).

fn sample_derivative(&self, t: f32) -> TypedVector2D<f32, UnknownUnit>

Sample the curve's derivative at t (expecting t between 0 and 1).

fn sample_x_derivative(&self, t: f32) -> f32

Sample the x coordinate of the curve's derivative at t (expecting t between 0 and 1).

fn sample_y_derivative(&self, t: f32) -> f32

Sample the y coordinate of the curve's derivative at t (expecting t between 0 and 1).

fn split(&self, t: f32) -> (CubicBezierSegment, CubicBezierSegment)

Split this curve into two sub-curves.

fn before_split(&self, t: f32) -> CubicBezierSegment

Return the curve before the split point.

fn after_split(&self, t: f32) -> CubicBezierSegment

Return the curve after the split point.

fn transform(
    &self,
    transform: &TypedTransform2D<f32, UnknownUnit, UnknownUnit>
) -> CubicBezierSegment

Applies the transform to this curve and returns the results.

fn flattened(&self, tolerance: f32) -> Flattened

Returns the flattened representation of the curve as an iterator, starting after the current point.

fn flattened_for_each<F>(&self, tolerance: f32, call_back: &mut F) where
    F: FnMut(TypedPoint2D<f32, UnknownUnit>) -> (), 

Iterates through the curve invoking a callback at each point.

fn compute_length(&self, tolerance: f32) -> f32

Compute the length of the segment using a flattened approximation.

fn find_inflection_points(&self) -> ArrayVec<[f32; 2]>

fn find_local_x_extrema(&self) -> ArrayVec<[f32; 2]>

Return local x extrema or None if this curve is monotone.

This returns the advancements along the curve, not the actual x position.

fn find_local_y_extrema(&self) -> ArrayVec<[f32; 2]>

Return local y extrema or None if this curve is monotone.

This returns the advancements along the curve, not the actual y position.

fn find_y_maximum(&self) -> f32

Find the advancement of the y-most position in the curve.

This returns the advancement along the curve, not the actual y position.

fn find_y_minimum(&self) -> f32

Find the advancement of the y-least position in the curve.

This returns the advancement along the curve, not the actual y position.

fn find_x_maximum(&self) -> f32

Find the advancement of the x-most position in the curve.

This returns the advancement along the curve, not the actual x position.

fn find_x_minimum(&self) -> f32

Find the x-least position in the curve.

fn bounding_rect(&self) -> TypedRect<f32, UnknownUnit>

Returns a rectangle the curve is contained in

fn minimum_bounding_rect(&self) -> TypedRect<f32, UnknownUnit>

Returns the smallest rectangle the curve is contained in

fn assume_x_montone(&self) -> XMonotoneCubicBezierSegment

Cast this curve into a x-montone curve without checking that the monotonicity assumption is correct.

fn assume_y_montone(&self) -> YMonotoneCubicBezierSegment

Cast this curve into a y-montone curve without checking that the monotonicity assumption is correct.

fn line_intersections(
    &self,
    line: &Line
) -> ArrayVec<[TypedPoint2D<f32, UnknownUnit>; 3]>

fn line_segment_intersections(
    &self,
    segment: &LineSegment
) -> ArrayVec<[TypedPoint2D<f32, UnknownUnit>; 3]>

Trait Implementations

impl Copy for CubicBezierSegment

impl Clone for CubicBezierSegment

fn clone(&self) -> CubicBezierSegment

impl Debug for CubicBezierSegment

fn fmt(&self, __arg_0: &mut Formatter) -> Result<(), Error>