Polynomials

This is a complete collection of classes that allows you to easily use polynomials in your programs. The polynomials can be parsed from a string or entered manually as coefficients. Once the polynomial object is constructed you can do just about anything with it: I have overloaded all the operators I could think of, allowing you to add a string representation of a polynomial to an existing one the easiest way possible. There are even methods that allow you to draw a polynomial onto graphics or a bitmap (This does mean you will need to reference System.Drawing if you intend to use it in a console app).

Thanks to the simplicity of .Net's xml comments and NDoc3, there is also a help file which can be viewed online here, and an offline version is included in the downloads. For additional help just email me: [email protected]. It is also highly likely that there will be bugs, if so please email me. The only thing currently missing is full length examples (or any example) for the members. I am working on it though, in addition to a few larger projects based around the classes. If you write something that uses this then please email me with a link so I can have a look :-).

Contained in the download are the following files:

• Polynomials.dll (the assembly)
• Documentation.chm (the help file)
• ClassLibrary.cs (source code)

Example:

using System;

using Polynomials;

namespace PolynomialTester

{

    class Program

    {

        static void Main(string[] args)

        {

            // Parse polynomials from strings:

            Polynomial p = new Polynomial("x^2+4x-3");

            Console.WriteLine("polynomial: " + p.ToString());

            // Operators have been overloaded:

            Console.WriteLine(p.ToString() + " + x^3-3x+4 = " + (p + "x^3-2x+4").ToString());

            // Assignments as well as standard operators:

            p += "x^3-2x+4";

            // Access coefficients by their letter:

            p['a'] = 3;

            // Setting the top value to zero shortens the array by 1.

            Console.Write("Before: " + p.MaxIndex.ToString() + ", After: ");

            p['a'] = 0;

            Console.WriteLine(p.MaxIndex.ToString());

            // Solve for real roots

            PolynomialPoint[] array = p.Solve();

            Console.WriteLine("Real roots of '" + p.ToString() + "' are:");

            foreach (PolynomialPoint point in array)

                Console.WriteLine("  * " + point.ToString());

            Console.WriteLine("----");

            Console.ReadLine();

        }

    }

}