Struct lyon_bezier::QuadraticBezierSegment

pub struct QuadraticBezierSegment {
    pub from: Point,
    pub ctrl: Point,
    pub to: Point,
}

A 2d curve segment defined by three points: the beginning of the segment, a control point and the end of the segment.

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

Fields

from: Point

ctrl: Point

to: Point

Methods

impl QuadraticBezierSegment

fn sample(&self, t: f32) -> Point

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) -> Vec2

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 flip(&mut self)

Swap the beginning and the end of the segment.

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_local_y_extremum(&self) -> Option<f32>

Return the y inflection point or None if this curve is y-monotone.

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 advancement of the x-least position in the curve.

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

fn find_local_x_extremum(&self) -> Option<f32>

Return the x inflection point or None if this curve is x-monotone.

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

Split this curve into two sub-curves.

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

Return the curve before the split point.

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

Return the curve after the split point.

fn to_cubic(&self) -> CubicBezierSegment

Elevate this curve to a third order bézier.

fn transform(&self, transform: &Transform2D) -> Self

Applies the transform to this curve and returns the results.

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

Find the interval of the begining of the curve that can be approximated with a line segment.

fn flattened_for_each<F: FnMut(Point)>(&self, tolerance: f32, call_back: &mut F)

Iterates through the curve invoking a callback at each point.

fn flattening_iter(&self, tolerance: f32) -> QuadraticFlatteningIter

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

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

Compute the length of the segment using a flattened approximation.

fn bounding_triangle(&self) -> Triangle

Returns a triangle containing this curve segment.

fn bounding_rect(&self) -> Rect

Returns a rectangle the curve is contained in

fn minimum_bounding_rect(&self) -> Rect

Returns the smallest rectangle the curve is contained in

fn assume_x_montone(&self) -> XMonotoneQuadraticBezierSegment

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

fn assume_y_montone(&self) -> YMonotoneQuadraticBezierSegment

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

fn line_intersections(&self, line: &Line) -> ArrayVec<[Point; 2]>

fn line_segment_intersections(
    &self,
    segment: &LineSegment
) -> ArrayVec<[Point; 2]>

Trait Implementations

impl Copy for QuadraticBezierSegment

impl Clone for QuadraticBezierSegment

fn clone(&self) -> QuadraticBezierSegment

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for QuadraticBezierSegment

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

Formats the value using the given formatter.