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();    }}`
The text passage describes a programming exercise in C# for creating a class to handle complex numbers, including the class structure and a test program. It also contains a solution with the implementation of the class and a test program.
no_question

the passage does not contain a mathematical question or a request for a calculation. it is a programming exercise that involves mathematical concepts, but it does not ask a specific question that requires a numerical or mathematical answer.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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();    }}`
user
The text passage describes a programming exercise in C# for creating a class to handle complex numbers, including the class structure and a test program. It also contains a solution with the implementation of the class and a test program.

TYPE: NO_QUESTION

The passage does not contain a mathematical question or a request for a calculation. It is a programming exercise that involves mathematical concepts, but it does not ask a specific question that requires a numerical or mathematical answer.