class Matrix{
	
	constructor(){
		this.a = 1;
		this.b = 0;
		this.c = 0;
		this.d = 1;
		this.e = 0;
		this.f = 0;
	}
	
	applyToPoint(p){
		return {
			x: round(p.x * this.a + p.y * this.c + this.e),
			y: round(p.x * this.b + p.y * this.d + this.f)
		}
	}
	
	transform(a2, b2, c2, d2, e2, f2){
		var a1 = this.a,
			b1 = this.b,
		 	c1 = this.c,
			d1 = this.d,
			e1 = this.e,
			f1 = this.f;

		this.a = a1 * a2 + c1 * b2;
		this.b = b1 * a2 + d1 * b2;
		this.c = a1 * c2 + c1 * d2;
	  	this.d = b1 * c2 + d1 * d2;
		this.e = a1 * e2 + c1 * f2 + e1;
		this.f = b1 * e2 + d1 * f2 + f1;
	}
	
	rotate(angle){
		var cs = cos(angle),
			sn = sin(angle);
		this.transform(cs, sn, -sn, cs, 0, 0);
	}
}

class Rotation{
	
	constructor(axis, index, dir, v, finishedCallback){
		this.axis = axis;
		this.index = index;
		this.dir = dir;
		this.angle = 0;
		this.v = v;
		this.finished = function(){
			finishedCallback();
		}
	}
	
	update(){
		if (abs(this.angle) > PI / 2){
			this.finished();
		}
		this.angle += this.v * this.dir;
	}
	
}