Complex, C# - rextester

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//Rextester.Program.Main is the entry point for your code. Don't change it.
//Compiler version 4.0.30319.17929 for Microsoft (R) .NET Framework 4.5

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;

namespace Rextester
{
    public class Program
    {
        public static void Main(string[] args)
        {
            //Your code goes here
            //Complex z = new Complex (1,1);
            Complex z = new Complex (1,180,false);
            Console.WriteLine(z.toRadian());
            
            Complex a = new Complex (1,1);
            Complex b = new Complex (2,-3);
            
            Console.WriteLine(a*b);
        }
    }
    
    public struct Complex
    {
        public double real;
        public double imag;
        public double radius;
        public double arg;
        public bool polar, radian;
        public double Real
        {
            get
            {
                return real;
            }
            set
            {
                real = value;
            }
        }
        public double Imag
        {
            get
            {
                return imag;
            }
            set
            {
                imag = value;
            }
        }
        public Complex (double real, double imag)
        {
            this.real = real;
            this.imag = imag;
            this.radius = Math.Sqrt(Math.Pow(real, 2) + Math.Pow(imag, 2));
            this.polar = false;
            this.radian = false;
            this.arg = Math.Atan(imag/real)*360/(2*Math.PI);
        }
        
        public Complex (double radius, double arg, bool radian) {
            this.radius = radius;
            this.arg = arg;
            this.polar = true;
            this.radian = radian;
            double argD = arg*2*Math.PI/360;
            if (!radian) {
                // 1st quadrant
                if (!radian && (arg%360) >=0 && (arg%360) <=90) {
                    this.real = Math.Cos(argD%360)*radius;
                    this.imag = Math.Sin(argD%360)*radius;
                }

// 2nd quadrant
                else if (!radian && (arg%360)>90 && (arg%360) <=180) {
                    this.real = Math.Cos(argD%360)*radius;
                    this.imag = Math.Sin(argD%360)*radius;
                }

// 3rd quadrant
                else if (!radian && (arg%360)>180 && (arg%360) <=270) {
                    this.real = -Math.Cos(argD%360)*radius;
                    this.imag = -Math.Sin(argD%360)*radius;
                }

// 4th quadrant
                else {//if (!radian && (arg%360)>270 && (arg%360) <360) {
                    this.real = Math.Cos(argD%360)*radius;
                    this.imag = -Math.Sin(argD%360)*radius;
                }
            }
            
            else {
                // 1st quadrant
                if (!radian && (arg%360) >=0 && (arg%360) <=90) {
                    this.real = Math.Cos(arg%360)*radius;
                    this.imag = Math.Sin(arg%360)*radius;
                }

// 2nd quadrant
                else if (!radian && (arg%360)>90 && (arg%360) <=180) {
                    this.real = -Math.Cos(arg%360)*radius;
                    this.imag = Math.Sin(arg%360)*radius;
                }

// 3rd quadrant
                else if (!radian && (arg%360)>180 && (arg%360) <=270) {
                    this.real = -Math.Cos(arg%360)*radius;
                    this.imag = -Math.Sin(arg%360)*radius;
                }

// 4th quadrant
                else {//if (!radian && (arg%360)>270 && (arg%360) <360) {
                    this.real = Math.Cos(arg%360)*radius;
                    this.imag = -Math.Sin(arg%360)*radius;
                }
            }
            
        }

public Complex toPolar() {
            this.polar = true;
            return this;
        }
        
        public Complex toRect() {
            this.polar = false;
            return this;
        }
        
        public Complex toRadian() {
            if (radian) {
                return this;
            }
            
            else {
                radian = true;
                this.arg = this.arg*2*Math.PI/360;
                return this;
            }
        }
        
        public Complex toDegree() {
            if (!radian) {
                return this;
            }
            
            else {
                radian = false;
                this.arg = this.arg*360/(2*Math.PI);
                return this;
            }
        }
        
        public override string ToString()
        {
            if (!polar && Math.Abs(this.imag)!=1) {
                return real + " + " + imag + "i";
            }
            
            else if (!polar && Math.Abs(this.imag)==1) {
                return real + " + " + "i";
            }
            
            else if (polar && radian) {
                return "(" + radius + ", " + arg + "r)";
            }
            
            else return "(" + radius + ", " + arg + "d)";
        }
        
        public static Complex operator +(Complex left, Complex right) {
            
            if (left.polar) {
                left.toRect();
            }
            if (right.polar) {
                right.toRect();
            }
            
            Complex result = new Complex (left.real+right.real, left.imag+right.imag);
            return result;
        }
        
        public static Complex operator -(Complex left, Complex right) {
            
            if (left.polar) {
                left.toRect();
            }
            if (right.polar) {
                right.toRect();
            }
            
            Complex result = new Complex (left.real-right.real, left.imag-right.imag);
            return result;
        }
        
        public static Complex operator *(Complex left, Complex right) {
            
            if (left.polar) {
                left.toRect();
            }
            if (right.polar) {
                right.toRect();
            }
            
            Complex result = new Complex (left.real*right.real-left.imag*right.imag, left.real*right.imag+left.imag*right.real);
            return result;
        }
        
        public static Complex operator /(Complex left, Complex right) {
            
            if (left.polar) {
                left.toRect();
            }
            if (right.polar) {
                right.toRect();
            }
            
            Complex result = new Complex ((left.real*right.real + left.imag*right.imag)/(Math.Pow(right.real,2)+Math.Pow(right.imag,2)),
                                          (left.imag*right.real - left.real*right.imag)/(Math.Pow(right.real,2)+Math.Pow(right.imag,2)) );
            return result;
        }
        
        public static Complex Pow(Complex z, int pow) {
            
            Complex result = z.toPolar();
            
            result = new Complex (Math.Pow(z.radius,pow), pow*z.arg);
            return result;
        }
    }
}

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