class ComplexGetal implements ComplexGetalInterface
{
	Breuk re;
	Breuk im;

	public ComplexGetal(int t1, int n1, int t2, int n2)
	{
		re = new Breuk(t1, n1);
		im = new Breuk(t2, n2);
	}

	ComplexGetal(Breuk a, Breuk b)
	{
		re = a;
		im = b;
	}

	public ComplexGetal telop(ComplexGetal cg)
	{
		Breuk reeel = re.telop(cg.re);
		Breuk imaginair = im.telop(cg.im);
		return new ComplexGetal(reeel, imaginair);
	}

	public ComplexGetal trekaf(ComplexGetal cg)
	{

		Breuk reeel = re.trekaf(cg.re);
		Breuk imaginair = im.trekaf(cg.im);
		return new ComplexGetal(reeel, imaginair);
	}

	public ComplexGetal vermenigvuldig(ComplexGetal cg)
	{
		Breuk reeel = ((re.vermenigvuldig(cg.re)).trekaf(im.vermenigvuldig(cg.im)));
		Breuk imaginair = ((re.vermenigvuldig(cg.im)).telop(im.vermenigvuldig(cg.re)));
		return new ComplexGetal(reeel, imaginair);
	}

	public ComplexGetal omgekeerde()
	{
		int p = re.teller;
		int q = re.noemer;
		int r = im.teller;
		int s = im.noemer;

		Breuk reeel = new Breuk(((p*q)*(s*s)), ((p*p) * (s*s)) + ((r*r) * (q*q)));
		Breuk imaginair = new Breuk(-((r * (q*q)) * s), (((p*p) * (s*s)) + ((r*r) * (q*q))));
		return new ComplexGetal(reeel, imaginair);
	}

	public ComplexGetal deel(ComplexGetal cg)
	{
		return vermenigvuldig(cg.omgekeerde());
	}

	public String toString()
	{
		if(im.noemer < 0)
			return re + " " + (im + "i");

		else if(im.teller < 0)
			return re + " " + (im + "i");

		return re + " + " + (im + "i");
	}

}