Struct CubicHermite 

pub struct CubicHermite<P: VectorSpace> {
    pub control_points: Vec<(P, P)>,
}

A spline interpolated continuously between the nearest two control points, with the position and velocity of the curve specified at both control points. This curve passes through all control points, with the specified velocity which includes direction and parametric speed.

Useful for smooth interpolation when you know the position and velocity at two points in time, such as network prediction.

Interpolation

The curve passes through every control point.

Tangency

Tangents are explicitly defined at each control point.

Continuity

The curve is at minimum C1 continuous, meaning that it has no holes or jumps and the tangent vector also has no sudden jumps.

Parametrization

The first segment of the curve connects the first two control points, the second connects the second and third, and so on. This remains true when a cyclic curve is formed with to_curve_cyclic, in which case the final curve segment connects the last control point to the first.

Usage

let points = [
    vec2(-1.0, -20.0),
    vec2(3.0, 2.0),
    vec2(5.0, 3.0),
    vec2(9.0, 8.0),
];
let tangents = [
    vec2(0.0, 1.0),
    vec2(0.0, 1.0),
    vec2(0.0, 1.0),
    vec2(0.0, 1.0),
];
let hermite = CubicHermite::new(points, tangents).to_curve().unwrap();
let positions: Vec<_> = hermite.iter_positions(100).collect();

Fields

control_points: Vec<(P, P)>

The control points of the Hermite curve.

Implementations

impl<P: VectorSpace> CubicHermite<P>

pub fn new( control_points: impl IntoIterator<Item = P>, tangents: impl IntoIterator<Item = P>, ) -> Self

Create a new Hermite curve from sets of control points.

Trait Implementations

impl<P: Clone + VectorSpace> Clone for CubicHermite<P>

fn clone(&self) -> CubicHermite<P>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<P: VectorSpace<Scalar = f32>> CubicGenerator<P> for CubicHermite<P>

Available on crate feature alloc only.

type Error = InsufficientDataError

An error type indicating why construction might fail.

fn to_curve(&self) -> Result<CubicCurve<P>, Self::Error>

Build a CubicCurve by computing the interpolation coefficients for each curve segment.

impl<P: VectorSpace<Scalar = f32>> CyclicCubicGenerator<P> for CubicHermite<P>

Available on crate feature alloc only.

type Error = InsufficientDataError

An error type indicating why construction might fail.

fn to_curve_cyclic(&self) -> Result<CubicCurve<P>, Self::Error>

Build a cyclic CubicCurve by computing the interpolation coefficients for each curve segment, treating the control data as cyclic so that the result is a closed curve.

impl<P: Debug + VectorSpace> Debug for CubicHermite<P>

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

Formats the value using the given formatter.