Struct CubicBez 

pub struct CubicBez {
    pub p0: Point,
    pub p1: Point,
    pub p2: Point,
    pub p3: Point,
}

Cubic Bézier curve.

Fields

p0: Point

Start point.

p1: Point

First control point.

p2: Point

Second control point.

p3: Point

End point.

Implementations

impl CubicBez

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

Evaluate at t.

pub fn deriv(self, t: f64) -> Vector

First derivative at t.

pub fn deriv2(self, t: f64) -> Vector

Second derivative at t.

pub fn split(self, t: f64) -> (Self, Self)

Split at t (de Casteljau).

pub fn subsegment(self, t0: f64, t1: f64) -> Self

Sub-curve between t0 and t1.

pub fn bbox(self) -> Aabb

Exact bounding box (extrema of the derivative).

pub fn hull_bbox(self) -> Aabb

Bounding box of the control polygon (cheap, conservative).

pub fn flatness(self) -> f64

Maximum distance of the control points from the chord (flatness bound).

pub fn flatten_into(self, tol: f64, out: &mut Vec<Point>)

Append a polyline approximation (excluding the start point) to out.

pub fn length(self, rel: f64) -> f64

Arc length with adaptive Gauss–Legendre quadrature (relative accuracy ≈ rel).

pub fn closest(self, p: Point) -> (f64, Point)

Closest point (parameter, point).

Global search by branch-and-bound subdivision (the control-polygon box is a lower bound for every sub-curve), followed by Newton polishing. This cannot get trapped in a local minimum the way pure sampling + Newton can.

pub fn transform(self, t: Affine) -> Self

Transform (any affine transform is exact for Bézier curves).

pub const fn reversed(self) -> Self

Reversed curve.

Trait Implementations

impl Clone for CubicBez

fn clone(&self) -> CubicBez

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for CubicBez

impl Debug for CubicBez

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for CubicBez

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl PartialEq for CubicBez

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

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

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 CubicBez

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

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl StructuralPartialEq for CubicBez