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Complex numbers 16


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.


Imports System
Class ComplexNumber
    Protected a, b As Double

    Public Sub New(ByVal realPart As Double, ByVal imaginaryPart As Double)
        a = realPart
        b = imaginaryPart
    End Sub

    Public Function GetReal() As Double
        Return a
    End Function

    Public Sub SetReal(ByVal a As Double)
        Me.a = a
    End Sub

    Public Function GetImaginary() As Double
        Return b
    End Function

    Public Sub SetImaginary(ByVal b As Double)
        Me.b = b
    End Sub

    Public Overloads Function ToString() As String
        Return "(" & a & "," & b & ")"
    End Function

    Public Function GetMagnitude() As Double
        Return Math.Sqrt((a * a) + (b * b))
    End Function

    Public Sub Add(ByVal c2 As ComplexNumber)
        a += c2.GetReal()
        b += c2.GetImaginary()
    End Sub
End Class

Class ComplexTest
    Private Shared Sub Main()
        Dim debug As Boolean = False
        Dim number As ComplexNumber = New ComplexNumber(5, 2)
        Console.WriteLine("Number is: " & number.ToString())
        Console.WriteLine("Number is: " & number.ToString())
        Console.Write("Magnitude is: ")
        Dim number2 As ComplexNumber = New ComplexNumber(-1, 1)
        Console.Write("After adding: ")
        If debug Then Console.ReadLine()
    End Sub
End Class