// Cubic Bezier Functions

function b3p0(t: number, p: number): number {
    const k = 1 - t
    return k * k * k * p
}

function b3p1(t: number, p: number): number {
    const k = 1 - t
    return 3 * k * k * t * p
}

function b3p2(t: number, p: number): number {
    const k = 1 - t
    return 3 * k * t * t * p
}

function b3p3(t: number, p: number): number {
    return t * t * t * p
}

export default function(t: number, p0: number, p1: number, p2: number, p3: number): number {
    return b3p0(t, p0) + b3p1(t, p1) + b3p2(t, p2) + b3p3(t, p3)
}