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using System;
using MathNet.Numerics;

namespace Examples.SpecialFunctionsExamples
{
    /// <summary>
    /// Special Functions: Beta
    /// </summary>
    /// <seealso cref="http://reference.wolfram.com/mathematica/ref/Beta.html"/>
    public class Beta : IExample
    {
        /// <summary>
        /// Gets the name of this example
        /// </summary>
        public string Name
        {
            get
            {
                return "Special Functions: Beta";
            }
        }

        /// <summary>
        /// Gets the description of this example
        /// </summary>
        public string Description
        {
            get
            {
                return "Beta, incomplete Beta, regularized Beta";
            }
        }

        /// <summary>
        /// Run example
        /// </summary>
        /// <seealso cref="http://en.wikipedia.org/wiki/Beta_function">Beta function</seealso>
        public void Run()
        {
            // 1. Compute the Beta function at z = 1.0, w = 3.0
            Console.WriteLine(@"1. Compute the Beta function at z = 1.0, w = 3.0");
            Console.WriteLine(SpecialFunctions.Beta(1.0, 3.0));
            Console.WriteLine();

            // 2. Compute the logarithm of the Beta function at z = 1.0, w = 3.0
            Console.WriteLine(@"2. Compute the logarithm of the Beta function at z = 1.0, w = 3.0");
            Console.WriteLine(SpecialFunctions.BetaLn(1.0, 3.0));
            Console.WriteLine();

            // 3. Compute the Beta incomplete function at z = 1.0, w = 3.0, x = 0.7 
            Console.WriteLine(@"3. Compute the Beta incomplete function at z = 1.0, w = 3.0, x = 0.7");
            Console.WriteLine(SpecialFunctions.BetaIncomplete(1.0, 3.0, 0.7));
            Console.WriteLine();

            // 4. Compute the Beta incomplete function at z = 1.0, w = 3.0, x = 1.0 
            Console.WriteLine(@"4. Compute the Beta incomplete function at z = 1.0, w = 3.0, x = 1.0");
            Console.WriteLine(SpecialFunctions.BetaIncomplete(1.0, 3.0, 1.0));
            Console.WriteLine();

            // 5. Compute the Beta regularized function at z = 1.0, w = 3.0, x = 0.7
            Console.WriteLine(@"5. Compute the Beta regularized function at z = 1.0, w = 3.0, x = 0.7");
            Console.WriteLine(SpecialFunctions.BetaRegularized(1.0, 3.0, 0.7));
            Console.WriteLine();

            // 6. Compute the Beta regularized  function at z = 1.0, w = 3.0, x = 1.0 
            Console.WriteLine(@"6. Compute the Beta regularized function at z = 1.0, w = 3.0, x = 1.0");
            Console.WriteLine(SpecialFunctions.BetaRegularized(1.0, 3.0, 1.0));
            Console.WriteLine();
        }
    }
}