Complex Variable Implementation in C#, C#

Complex Variable Implementation in C#

//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 ComplexOpCode
  {
    public double x1 { get; set; } //first x value
    public double y1 { get; set; } // first y value

public double x2{ get; set; } //second x value
    public double y2 { get; set; } // second y value

public double Power { get; set; }

}

public class ComplexValue
  {
    public double Real { get; set; }
    public double Imaginary { get; set; }
    public ComplexValue Conjugate { get; set; }
    public double Modulus { get; set; }
    public double Theta { get; set; }
    public ComplexValue Inverse { get; set; }
    public ComplexValue PolarValue { get; set; }
    public double Length { get; set; }
    public ComplexValue Pow { get; set; }
    public bool DoubleIsSet { get; set; } //Return double value. Used in ToString. If true, then returning double value else ComplexValue
    public override string ToString()
    {
      string ret = "0";

if(this.DoubleIsSet)
      {
         return string.Format("{0:0.0000}", Math.Abs(this.Real));
      }

if (this.Real == 0)
      {
        if (this.Imaginary < 0)
        {
          ret = "- i" + string.Format("{0:0.0000}", Math.Abs(this.Imaginary));
        }
        else
        {
          ret = "i" + string.Format("{0:0.0000}", this.Imaginary);
        }
      }
      else if (this.Imaginary == 0 && this.Real != 0)
      {
        ret = string.Format("{0:0.0000}", this.Real);
      }
      else if (this.Imaginary != 0 && this.Real != 0)
      {
        if (this.Imaginary < 0)
        {
          ret = string.Format("{0:0.0000}", this.Real) + 
            " - i" + 
            string.Format("{0:0.0000}", Math.Abs(this.Imaginary));
        }
        else
        {
          ret = string.Format("{0:0.0000}", this.Real) + 
            " + i" 
            + string.Format("{0:0.0000}", this.Imaginary);
        }
      }

return ret;
    }

}
  public class ComplexVariable
  {
    public Func<ComplexOpCode, ComplexValue> ComplexFunction = null; //Func delegate takes a ComplexOpCode object as input and outputs a ComplexValue object

public ComplexVariable(Func<ComplexOpCode, ComplexValue> cf)
    {
      ComplexFunction = cf;
    }

}

public class Tester
    {
        public static void TestComplexVariable()
        {
      //f(z) = x + iy
      ComplexVariable z = new ComplexVariable(co => 
      {
        return new ComplexValue { Real = co.x1, Imaginary = co.y1, DoubleIsSet = false };
      });

Console.WriteLine("f(z) = z = x + iy = {0}",
        z.ComplexFunction(new ComplexOpCode { x1 = 1, y1 = 2, Power = 0 }));
      //output is f(z) = z = x + iy = 1.0000 + i2.0000
      //End of f(z) = x + iy

//f(z) = x - iy
      ComplexVariable Conjugate = new ComplexVariable(co =>
      {
        return new ComplexValue { Real = co.x1, Imaginary = -co.y1, DoubleIsSet = false };
      });
      Console.WriteLine("f(z) = z = x -  iy = {0}",
       Conjugate.ComplexFunction(new ComplexOpCode { x1 = 1, y1 = 2, Power = 0 }));
      //output is f(z) = z = x -  iy = 1.0000 - i2.0000
      //End of f(z) = x - iy

//f(z) = |z| = Sqrt(x^2 + y^2)
      ComplexVariable Modulus = new ComplexVariable(co =>
      {
        double mod = Math.Sqrt(Math.Pow(co.x1, 2) + Math.Pow(co.y1, 2));
        return new ComplexValue { Real = mod, Imaginary = 0, Modulus = mod, DoubleIsSet = true };
      });
      Console.WriteLine("f(z) = |z| = Sqrt(x^2 + y^2) = {0}",
       Modulus.ComplexFunction(new ComplexOpCode { x1 = 1, y1 = 2, Power = 0 }));
      //output is f(z) = |z| = Sqrt(/x^2 + y^2) = 2.2361
      //End of f(z) = |z| = Sqrt(x^2 + y^2)

//f(z) = z^-1 = Conjuate(z)/|z|^2
      ComplexVariable Inverse = new ComplexVariable(co =>
      {
        double modsq = Math.Pow(co.x1, 2) + Math.Pow(co.y1, 2);
        return new ComplexValue { Real = co.x1/modsq, Imaginary = -co.y1/modsq, DoubleIsSet = false };
      });
      Console.WriteLine("f(z) = z^-1 = Conjuate(z)/|z|^2 = {0}",
       Inverse.ComplexFunction(new ComplexOpCode { x1 = 1, y1 = 2, Power = 0 }));
      //output is f(z) = z^-1 = Conjuate(z)/|z|^2 = 0.2000 - i0.4000
      //End of f(z) = Conjuate(z)/Mod^2fs

//z + w = x1 + iy1 + x2 + iy2 = (x1 + x2) + i(y1 + y2)
      ComplexVariable Add = new ComplexVariable(co =>
      {
        return new ComplexValue { Real = co.x1 + co.x2, Imaginary = co.y1 + co.y2, DoubleIsSet = false };
      });
      Console.WriteLine("w + z = x1 + iy1 + x2 + iy2 = (x1 + x2) + i(y1 + y2) = {0}",
       Add.ComplexFunction(new ComplexOpCode { x1 = 1, y1 = 2, x2 = 5, y2 = 7, Power = 0 }));
      //output is w + z = x1 + iy1 + x2 + iy2 = (x1 + x2) + i(y1 + y2) = 6.0000 + i9.0000
      //End of z + w = x1 + iy1 + x2 + iy2 = (x1 + x2) + i(y1 + y2)

//z - w = x1 + iy1 - x2 + iy2 = (x1 - x2) + i(y1 - y2)
      ComplexVariable Subtract = new ComplexVariable(co =>
      {
        return new ComplexValue { Real = co.x1 - co.x2, Imaginary = co.y1 - co.y2, DoubleIsSet = false };
      });
      Console.WriteLine("w - z = x1 + iy1 - x2 + iy2 = (x1 - x2) + i(y1 - y2) = {0}",
       Subtract.ComplexFunction(new ComplexOpCode { x1 = 1, y1 = 2, x2 = 5, y2 = 7, Power = 0 }));
      //output is w - z = x1 + iy1 - x2 + iy2 = (x1 - x2) + i(y1 - y2) = -4.0000 - i5.0000
      //End of z - w = x1 + iy1 - x2 + iy2 = (x1 - x2) + i(y1 - y2)

//zw = ( x1 + iy1)(x2 + iy2) =  (x1x2 - y1y2) + i(x1y2 + y1x2)
      ComplexVariable Multiply = new ComplexVariable(co =>
      {
        return new ComplexValue { Real = (co.x1 * co.x2 - co.y1 * co.y2), Imaginary = (co.x1 * co.y2 + co.y1 * co.x2), DoubleIsSet = false };
      });
      Console.WriteLine("zw = ( x1 + iy1)(x2 + iy2) =  (x1x2 - y1y2) + i(x1y2 + y1x2) = {0}",
       Multiply.ComplexFunction(new ComplexOpCode { x1 = 1, y1 = 2, x2 = 5, y2 = 7, Power = 0 }));
      //output is zw = ( x1 + iy1)(x2 + iy2) =  (x1x2 - y1y2) + i(x1y2 + y1x2) = -9.0000 + i17.0000
      //End of zw = ( x1 + iy1)(x2 + iy2) =  (x1x2 - y1y2) + i(x1y2 + y1x2)
        
        }
    }
    
    public class Program
    {
        public static void Main(string[] args)
        {
            //Your code goes here
            Tester.TestComplexVariable();
        }
    }
}


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