casteljau function where t = 0...1

casteljau.swift

func casteljau<T: FloatingPoint>(_ v0: T, _ v1: T, _ t: T) -> T {
	return v0 + (v1 - v0) * t
}

func casteljau<T: FloatingPoint>(_ v0: T, _ v1: T, _ v2: T, _ t: T) -> T {
	let q0 = v0 + (v1 - v0) * t
	let q1 = v1 + (v2 - v1) * t
	return q0 + (q1 - q0) * t
}

func casteljau<T: FloatingPoint>(_ v0: T, _ v1: T, _ v2: T, _ v3: T, _ t: T) -> T {
	let q0 = v0 + (v1 - v0) * t
	let q1 = v1 + (v2 - v1) * t
	let q2 = v2 + (v3 - v2) * t
	let r0 = q0 + (q1 - q0) * t
	let r1 = q1 + (q2 - q1) * t
	return r0 + (r1 - r0) * t
}