using System;
using FractionOp;

namespace ComplexNums {
  class ComplexNum {
    public Fraction r, i;

    public ComplexNum() {
      this.r = new Fraction(1, 2);
      this.i = new Fraction(4, 5);
    }

    public static ComplexNum Sum(ComplexNum a, ComplexNum b) {
      ComplexNum res = new ComplexNum();
      res.r = a.r + b.r;
      res.i = a.i + b.i;
      return res;
    }

    public static ComplexNum Multiplication(ComplexNum a, ComplexNum b) {
      ComplexNum res = new ComplexNum();
      res.r = a.r * b.r - a.i * b.i;
      res.i = a.i * b.r + a.r * b.i;
      return res;
    }

    public static ComplexNum Subtract(ComplexNum a, ComplexNum b) {
      ComplexNum res = new ComplexNum();
      res.r = a.r - b.r;
      res.i = a.i - b.i;
      return res;
    }

    public static ComplexNum operator +(ComplexNum a, ComplexNum b) {
      return ComplexNum.Sum(a, b);
    }

    public static ComplexNum operator -(ComplexNum a, ComplexNum b) {
      return ComplexNum.Subtract(a, b);
    }

    public static ComplexNum operator *(ComplexNum a, ComplexNum b) {
      return ComplexNum.Multiplication(a, b);
    }

    public override string ToString() {
      return String.Format("{0} + i{1}", this.r, this.i);
    }

    public void Print(ComplexNum a) {
      Console.Write(a);
    }

    public void PrintLine(ComplexNum a) {
      Console.WriteLine(a);
    }
  }
}