What follows is a simple bit of C# code for handling complex numbers. This was developed for a quantum mechanics engine I'm developing.
namespace ImaginaryNumber
{
/// <summary>
/// A class for handling complex numbers.
/// Author: James Yakura/sidhe3141
/// </summary>
public class ComplexNumber
{
/// <summary>
/// The real part of the number.
/// </summary>
int real_part;
/// <summary>
/// The imaginary part of the number.
/// </summary>
int imaginary_part;
/// <summary>
/// Creates a new complex number.
/// </summary>
/// <param name="real">The real part.</param>
/// <param name="imaginary">The imaginary part.</param>
public ComplexNumber(int real, int imaginary)
{
real_part = real;
imaginary_part = imaginary;
}
/// <summary>
/// Multiplies by a real number.
/// </summary>
/// <param name="mult">The number to multiply by.</param>
/// <returns>The product of the two numbers.</returns>
public ComplexNumber MultiplyBy(int mult)
{
int temp_real = real_part * mult;
int temp_img = imaginary_part * mult;
return new ComplexNumber(temp_real, temp_img);
}
/// <summary>
/// Multiplies by a complex number.
/// </summary>
/// <param name="mult">The number to multiply by.</param>
/// <returns>The product of the two numbers.</returns>
public ComplexNumber MultiplyBy(ComplexNumber mult)
{
int temp_real = real_part * mult.real_part - imaginary_part * mult.imaginary_part;
int temp_img = real_part * mult.imaginary_part + imaginary_part * mult.real_part;
return new ComplexNumber(temp_real, temp_img);
}
/// <summary>
/// Adds two complex numbers.
/// </summary>
/// <param name="add">The number to add.</param>
/// <returns>The sum of the two numbers.</returns>
public ComplexNumber AddTo(ComplexNumber add)
{
int temp_real = real_part + add.real_part;
int temp_img = imaginary_part + add.imaginary_part;
return new ComplexNumber(temp_real, temp_img);
}
/// <summary>
/// Converts a real number to complex form.
/// </summary>
/// <param name="input">The number to be converted.</param>
/// <returns>The complex form.</returns>
public static ComplexNumber ComplexConversion(int input)
{
return new ComplexNumber(input, 0);
}
/// <summary>
/// Gets and sets the real part of the number.
/// </summary>
public int RealPart
{
get
{
return real_part;
}
set
{
real_part = value;
}
}
/// <summary>
/// Gets and sets the coefficient of the imaginary part of the number.
/// </summary>
public int ImaginaryPart
{
get
{
return imaginary_part;
}
set
{
imaginary_part = value;
}
}
}
}
