pub struct CubicHermite<P: Point> { /* private fields */ }
Expand description

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

Explicitly defined at each control point.

§Continuity

At minimum C0 continuous, up to C1.

§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();
let positions: Vec<_> = hermite.iter_positions(100).collect();

Implementations§

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impl<P: Point> CubicHermite<P>

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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.

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impl<P: Point> CubicGenerator<P> for CubicHermite<P>

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fn to_curve(&self) -> CubicCurve<P>

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

Auto Trait Implementations§

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impl<P> Freeze for CubicHermite<P>
where P: Copy + PartialEq + Clone + Debug + Default + Sum + Add<f32, Output = P, Output = P> + Sub<Output = P> + Add + Mul<f32, Output = P>,

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impl<P> RefUnwindSafe for CubicHermite<P>
where P: Copy + PartialEq + Clone + Debug + Default + Sum + Add<f32, Output = P, Output = P> + Sub<Output = P> + Add + Mul<f32, Output = P> + RefUnwindSafe,

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impl<P> Send for CubicHermite<P>
where P: Copy + PartialEq + Clone + Debug + Default + Sum + Add<f32, Output = P, Output = P> + Sub<Output = P> + Add + Mul<f32, Output = P> + Send,

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impl<P> Sync for CubicHermite<P>
where P: Copy + PartialEq + Clone + Debug + Default + Sum + Add<f32, Output = P, Output = P> + Sub<Output = P> + Add + Mul<f32, Output = P> + Sync,

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impl<P> Unpin for CubicHermite<P>
where P: Copy + PartialEq + Clone + Debug + Default + Sum + Add<f32, Output = P, Output = P> + Sub<Output = P> + Add + Mul<f32, Output = P> + Unpin,

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impl<P> UnwindSafe for CubicHermite<P>
where P: Copy + PartialEq + Clone + Debug + Default + Sum + Add<f32, Output = P, Output = P> + Sub<Output = P> + Add + Mul<f32, Output = P> + UnwindSafe,

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.