text: Programming Course in C# ¡Free!
  
  # Complex numbers
  
  Proposed exercise
  
  A complex number has two parts: the real part and the imaginary part. In a number such as a+bi (2-3i, for example) the real part would be "a" (2) and the imaginary part would be "b" (-3).
  
  Create a class ComplexNumber with:
  
  • A constructor to set the values for the real part and the imaginary part.
  • Setters and getters for both.
  • A method "ToString", which would return "(2,-3)"
  • A method "GetMagnitude" to return the magnitude of the complex number (square root of a2+b2)
  • A method "Add", to sum two complex numbers (the real part will be the sum of both real parts, and the imaginary part will be the sum of both imaginary parts)
  
  Create a test program, to try these capabilities.
  
  Output
  
  Solution
  
  `using System;class ComplexNumber{    protected double a, b;    public ComplexNumber(double realPart, double imaginaryPart)    {        a = realPart;        b = imaginaryPart;    }            public double GetReal()    {        return a;    }    public void SetReal(double a)    {        this.a = a;    }    public double GetImaginary()    {        return b;    }    public void SetImaginary(double b)    {        this.b = b;    }            public new string ToString()    {        return "("+a+","+b+")";    }    public double GetMagnitude()    {        return Math.Sqrt ((a * a) + (b * b));    }    public void Add(ComplexNumber c2)    {        a += c2.GetReal();        b += c2.GetImaginary();    }}class ComplexTest{    static void Main()    {        bool debug = false;        ComplexNumber number = new ComplexNumber(5, 2);        Console.WriteLine("Number is: "+ number.ToString());                number.SetImaginary(-3);        Console.WriteLine("Number is: "+ number.ToString());                Console.Write("Magnitude is: ");        Console.WriteLine(number.GetMagnitude());                ComplexNumber number2 = new ComplexNumber(-1, 1);        number.Add(number2);        Console.Write("After adding: ");        Console.WriteLine(number.ToString());        if (debug)            Console.ReadLine();    }}`