Struct yoyo_physics::bezier::BezierCoefficients

pub struct BezierCoefficients<T> where
    T: Float,  {
    pub c: (T, T),
    pub b: (T, T),
    pub a: (T, T),
}

Polynomial coefficients of a 2D cubic Bezier curve.

In general, a cubic Bezier curve can be represented by x = a * t^3 + b * t^2 + c * t (where x, a, b and c are vectors).

Fields

c: (T, T)

This is the third and last coefficient (excluding the constant).

b: (T, T)

This is the second coefficient.

a: (T, T)

This is the first coefficient.

Implementations

impl<T> BezierCoefficients<T> where
    T: Float, 

pub fn new(points: [(T, T); 2]) -> BezierCoefficients<T>

This function precomputes the coefficients of a 3rd degree polynomial for a cubic Bezier curve.

pub fn sample_x(&self, t: T) -> T

This function computes the x coordinate for a given t argument. Specifically, this is: (x, _) = f(t) (note that f is a parametric function).

pub fn sample_y(&self, t: T) -> T

This function computes the y coordinate for a given t argument. Specifically, this is: (_, y) = f(t) (note that f is a parametric function).

pub fn sample_dxdt(&self, t: T) -> T

This function computes the derivative of the x coordinate with respect to t for a given t argument. Specifically, this is: (x', _) = f'(t) (note that f is a parametric function).

pub fn sample_dydt(&self, t: T) -> T

This function computes the derivative of the y coordinate with respect to t for a given t argument. Specifically, this is: (_, y') = f'(t) (note that f is a parametric function).

pub fn sample_dydx(&self, t: T) -> T

This function computes the derivative of the y coordinate with respect to x for a given t argument.