public class SphericBezier extends AbstractNode {

	private Vector a;
	private Vector b;



	public SphericBezier(Vector position , Vector end, Vector a , Vector b ) {
		super(position , end);
		this.a = a;
		this.b = b;
	}


	public void reCalculate() {
		Vector last ;
		Vector v ;
		double l = 0;
		last = getFirst().clone();

		float jump = (float) 1/getPrecision();
		for (int j = 0 ; j <= getPrecision() ; j++) {
			v = calculate(jump+j);
			l += last.distance(v);
			setLength(l);
		}
	}

	public Vector calculate(float range) {
		//t =  1-range
		float t = 1-range;
		//p-0
		Vector v = getFirst().clone();
		v.multiply(Math.pow(t, 3));
		//p-1
		Vector c = a.clone();
		c.multiply(3*Math.pow(t, 2)*range);
		v.add(c);
		//p-2
		c = b.clone();
		c.multiply(3*Math.pow(t, 2)*Math.pow(range, 2));
		v.add(c);
		//p-3
		c = getLast().clone();
		c.multiply(Math.pow(range, 3));
		v.add(c);
		return v;
	}




}