public class ComplexNumber {

	private double re;
	private double im;
	ComplexNumber(double x, double y){
		re = x;
		im = y;
	}


	public static ComplexNumber add(ComplexNumber x,ComplexNumber y){
		double a = x.re + y.re;
		double b = x.im + y.im;
		ComplexNumber z1 = new ComplexNumber(a,b);
		return z1;
	}

	public static ComplexNumber multiply(ComplexNumber x, ComplexNumber y){
		double c = ((x.re*y.re) - (x.im*y.im));
		double d = ((x.re*y.im)+(x.im*y.re));
		ComplexNumber z2 = new ComplexNumber(c,d);
		return z2;
	}

	public static ComplexNumber multiply(ComplexNumber x, double y){
		double a = x.re*y;
		double b = x.im*y;
		ComplexNumber z3 = new ComplexNumber(a,b);
		return z3;
	}

	//public void ComplexNumber(double re, double im){

	//}



	public String tostring(){
		return re + "+" + im + "i";
	}

	public double getAbs(){
		double a = Math.sqrt(((Math.pow(re,2))+(Math.pow(im, 2))));
		return a;
	}

	public double getAngle(){
		double a = Math.atan2(im, re);
		return a;
	}

	public double getRealPart(){
		return re;
	}

	public double getImaginaryPart(){
		return im;
	}

	public ComplexNumber add(ComplexNumber x){
		return x;
	}

	public ComplexNumber multiply(ComplexNumber x){
		return x;
	}


	public static void main(String[] args){
		ComplexNumber k1 = new ComplexNumber(1, 2);
		ComplexNumber k2 = new ComplexNumber(4, -1);
		System.out.println(k1 + " + " + k2 + " = " +
		k1.add (k2));
		System.out.println(k1 + " + " + k2 + " = " +
		ComplexNumber.add (k1, k2));
		System.out.println(k1 + " * " + k2 + " = " +
		k1.multiply(k2));
		System.out.println(k1 + " * " + k2 + " = " +
		ComplexNumber.multiply(k1, k2));
		System.out.println(k1 + " * " + 0.5 + " = " +
		ComplexNumber.multiply(k1, 0.5));
		}


}