GIK Complex

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Fractals
{
    public struct Complex
    {
        public double Real;
        public double Imag;
        public double Magnitude
        {
            get { return Math.Sqrt(Real * Real + Imag * Imag); }
            set
            {
                var phase = Phase;
                Real = value * Math.Cos(phase);
                Imag = value * Math.Sin(phase);
            }
        }
        public double Phase
        {
            get { return Math.Atan2(Imag, Real); }
            set
            {
                var mag = Magnitude;
                Real = mag * Math.Cos(value);
                Imag = mag * Math.Sin(value);
            }
        }

        public Complex(double real, double imag)
        {
            Real = real;
            Imag = imag;
        }

        public static Complex operator +(Complex left, Complex right)
        {
            var result = new Complex(left.Real, left.Imag);
            result.Real += right.Real;
            result.Imag += right.Imag;
            return result;
        }

        public static Complex operator -(Complex left, Complex right)
        {
            var result = new Complex(left.Real, left.Imag);
            result.Real -= right.Real;
            result.Imag -= right.Imag;
            return result;
        }

        public static Complex operator *(Complex left, Complex right)
        {
            var result = new Complex(left.Real, left.Imag);
            result.Magnitude *= right.Magnitude;
            result.Phase += right.Phase;
            return result;
        }

        public static Complex operator /(Complex left, Complex right)
        {
            var result = new Complex(left.Real, left.Imag);
            result.Magnitude /= right.Magnitude;
            result.Phase -= right.Phase;
            return result;
        }
    }
}