NumberTheory.cs

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using System;
using MathNet.Numerics;

namespace Examples
{
    /// <summary>
    /// Number theory utility functions
    /// </summary>
    public class NumberTheory : IExample
    {
        /// <summary>
        /// Gets the name of this example
        /// </summary>
        public string Name
        {
            get
            {
                return "Number theory utility functions";
            }
        }

        /// <summary>
        /// Gets the description of this example
        /// </summary>
        public string Description
        {
            get
            {
                return "Usage of the number theory utility functions and extention methods";
            }
        }

        /// <summary>
        /// Run example
        /// </summary>
        public void Run()
        {
            // 1. Find out whether the provided number is an even number
            Console.WriteLine(@"1. Find out whether the provided number is an even number");
            Console.WriteLine(@"{0} is even = {1}. {2} is even = {3}", 1, Euclid.IsEven(1), 2, 2.IsEven());
            Console.WriteLine();

            // 2. Find out whether the provided number is an odd number
            Console.WriteLine(@"2. Find out whether the provided number is an odd number");
            Console.WriteLine(@"{0} is odd = {1}. {2} is odd = {3}", 1, 1.IsOdd(), 2, Euclid.IsOdd(2));
            Console.WriteLine();

            // 3. Find out whether the provided number is a perfect power of two
            Console.WriteLine(@"2. Find out whether the provided number is a perfect power of two");
            Console.WriteLine(@"{0} is power of two = {1}. {2} is power of two = {3}", 5, 5.IsPowerOfTwo(), 16, Euclid.IsPowerOfTwo(16));
            Console.WriteLine();

            // 4. Find the closest perfect power of two that is larger or equal to 97
            Console.WriteLine(@"4. Find the closest perfect power of two that is larger or equal to 97");
            Console.WriteLine(97.CeilingToPowerOfTwo());
            Console.WriteLine();

            // 5. Raise 2 to the 16
            Console.WriteLine(@"5. Raise 2 to the 16");
            Console.WriteLine(16.PowerOfTwo());
            Console.WriteLine();

            // 6. Find out whether the number is a perfect square
            Console.WriteLine(@"6. Find out whether the number is a perfect square");
            Console.WriteLine(@"{0} is perfect square = {1}. {2} is perfect square = {3}", 37, 37.IsPerfectSquare(), 81, Euclid.IsPerfectSquare(81));
            Console.WriteLine();

            // 7. Compute the greatest common divisor of 32 and 36 
            Console.WriteLine(@"7. Returns the greatest common divisor of 32 and 36");
            Console.WriteLine(Euclid.GreatestCommonDivisor(32, 36));
            Console.WriteLine();

            // 8. Compute the greatest common divisor of 492, -984, 123, 246
            Console.WriteLine(@"8. Returns the greatest common divisor of 492, -984, 123, 246");
            Console.WriteLine(Euclid.GreatestCommonDivisor(492, -984, 123, 246));
            Console.WriteLine();

            // 9. Compute the extended greatest common divisor "z", such that 45*x + 18*y = z
            Console.WriteLine(@"9. Compute the extended greatest common divisor Z, such that 45*x + 18*y = Z");
            long x, y;
            var z = Euclid.ExtendedGreatestCommonDivisor(45, 18, out x, out y);
            Console.WriteLine(@"z = {0}, x = {1}, y = {2}. 45*{1} + 18*{2} = {0}", z, x, y);
            Console.WriteLine();

            // 10. Compute the least common multiple of 16 and 12
            Console.WriteLine(@"10. Compute the least common multiple of 16 and 12");
            Console.WriteLine(Euclid.LeastCommonMultiple(16, 12));
            Console.WriteLine();
        }
    }
}