Struct piet_common::kurbo::QuadBez

pub struct QuadBez {
    pub p0: Point,
    pub p1: Point,
    pub p2: Point,
}

A single quadratic Bézier segment.

Fields

p0: Point

p1: Point

p2: Point

Methods

impl QuadBez

pub fn new<V>(p0: V, p1: V, p2: V) -> QuadBez where
    V: Into<Point>, 

Create a new quadratic Bézier segment.

pub fn raise(&self) -> CubicBez

Raise the order by 1.

Returns a cubic Bézier segment that exactly represents this quadratic.

Trait Implementations

impl ParamCurveArclen for QuadBez

fn arclen(&self, _accuracy: f64) -> f64

Arclength of a quadratic Bézier segment.

This computation is based on an analytical formula. Since that formula suffers from numerical instability when the curve is very close to a straight line, we detect that case and fall back to Legendre-Gauss quadrature.

Accuracy should be better than 1e-13 over the entire range.

Adapted from http://www.malczak.linuxpl.com/blog/quadratic-bezier-curve-length/ with permission.

fn inv_arclen(&self, arclen: f64, accuracy: f64) -> f64

Solve for the parameter that has the given arclength from the start.

impl Copy for QuadBez

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 ParamCurveNearest for QuadBez

fn nearest(&self, p: Point, _accuracy: f64) -> (f64, f64)

Find nearest point, using analytical algorithm based on cubic root finding.

impl Clone for QuadBez

fn clone(&self) -> QuadBez

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for QuadBez

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

Formats the value using the given formatter.

impl ParamCurveCurvature for QuadBez

fn curvature(&self, t: f64) -> f64

Compute the signed curvature at parameter t.

impl ParamCurveExtrema for QuadBez

fn extrema(&self) -> ArrayVec<[f64; 4]>

Compute the extrema of the curve.

fn extrema_ranges(&self) -> ArrayVec<[Range<f64>; 5]>

Return parameter ranges, each of which is monotonic within the range.

fn bounding_box(&self) -> Rect

The smallest rectangle that encloses the curve in the range (0..1).

impl ParamCurveDeriv for QuadBez

type DerivResult = Line

fn deriv(&self) -> Line

The derivative of the curve.

fn gauss_arclen(&self, coeffs: &[(f64, f64)]) -> f64

Estimate arclength using Gaussian quadrature.

impl ParamCurve for QuadBez

fn eval(&self, t: f64) -> Point

Evaluate the curve at parameter t.

fn start(&self) -> Point

The start point.

fn end(&self) -> Point

The end point.

fn subdivide(&self) -> (QuadBez, QuadBez)

Subdivide into halves, using de Casteljau.

fn subsegment(&self, range: Range<f64>) -> QuadBez

Get a subsegment of the curve for the given parameter range.

impl ParamCurveArea for QuadBez

fn signed_area(&self) -> f64

Compute the signed area under the curve.