complex

using System;
using System.Collections.Generic;
using System.Text;

namespace WinFormsApp1
{
    class Complex
    {
        double r;//целая часть
        double i;//мнимая часть
        public double R
        {
            get { return r; }
            set
            {

                 r = value;
            }

        }
        public double I
        {
            get { return i; }
            set
            {

                 i = value;
            }

        }
        public Complex(double r, double i)
        {
            R = r;
            I = i;


        }
        public Complex()
        {
            r = 0.0;
            i = 0.0;


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

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

        public static Complex Subtract(Complex a, Complex b)
        {
            Complex res = new Complex();
            res.r = a.r - b.r;
            res.i = a.i - b.i;
            return res;
        }
        public static Complex Division(Complex a, Complex b)
        {
            Complex res = new Complex();
            double D = b.r * b.r + b.i * b.i;
            res.r = (a.r * b.r + a.i * b.i) / D;
            res.i = (a.i * b.r - a.r * b.i) / D;
            return res;
        }
        public static double Modul(Complex a)
        {
            double res = 0;
            res = Math.Sqrt(Math.Pow(a.r, 2) + Math.Pow(a.i, 2));
            return res;
        }
        public static Complex operator +(Complex a, Complex b)
        {
            return Complex.Sum(a, b);
        }

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

        public static Complex operator *(Complex a, Complex b)
        {
            return Complex.Multiplication(a, b);
        }
        public static Complex operator /(Complex a, Complex b)
        {
            return Complex.Division(a, b);
        }
        public override string ToString()
        { if (i>0 )
            return r.ToString() + " + " + i.ToString() + "i";
        else
                return r.ToString() + i.ToString() + "i";
        }
    }
}