// Complex.java copied from complex.c which I got from
// the book Numerical recipes in C.
// Here I'm trying to create a class that does Complex
// arithmetic.

public class Complex extends Object{
//   private double r;
//   private double i;
     double r;
     double i;
    

   Complex (double a, double b){ 
      r=a;
      i=b;
   } 

   public double Real(){
      return r;
   }

   public double Imaginary(){
      return i;
   }

   public double Magnitude(){
      return Math.sqrt(r*r+i*i);
   }

   public double Arg(){
      return Math.atan2(r,i);
   }

   public Complex Plus (Complex z){
      return new Complex(r+z.r,i+z.i);
   }

   public Complex Minus (Complex z){
      return new Complex(r-z.r,i-z.i);
   }

   public Complex Times (Complex z){
      return new Complex(r*z.r-i*z.i,r*z.i+i*z.r);
   }

   public Complex DivideBy (Complex z){
      double rz=z.Magnitude();
      double d1=(r*z.r+i*z.i)/(rz*rz);
      double d2=(i*z.r-r*z.i)/(rz*rz);
      return new Complex(d1,d2);
   }
}