public class ComplexTest {
    public static void main(String[] args) {
	Comparable c1 = randomComplex(1,3);
	Comparable c2 = randomComplex(1,3);	
	System.out.println("C1: " + c1);
	System.out.println("C2: " + c2);
	System.out.println(c1.compareTo(c2));
    }

    private static Complex randomComplex(int x, int y) {
	return new Complex(myRandom(x,y),myRandom(x,y));
    }
    
    private static int myRandom(int min, int max) {
	return (int) (Math.random()*(max-min+1)) + min; 
    }
}

class Complex implements Comparable {
    
    private double real;
    private double complex;
    
    public Complex(double real, double complex) {
	this.real = real;
	this.complex = complex;
    }
    
    public String toString() {
	String op="+";
	if(complex<0) op="";
	return real+op+complex+"i";
    }
    
    public boolean equals(Complex c) {
	return complex==c.complex && real==c.real &&
	    mag(this)==mag(c);
    }
    
    public int compareTo(Object o) {
	Complex c = (Complex)o;
	if (mag(this) < mag(c)) return -1;
	else if (mag(this) > mag(c)) return 1;	
	return 0;
    }
    
    private double mag(Complex c) {
	double asqu = c.real*c.real;      
	double bsqu = c.complex*c.complex;
	return Math.sqrt(asqu+bsqu);
    }
}