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using System;
using MathNet.Numerics.Distributions;

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

        /// <summary>
        /// Gets the description of this example
        /// </summary>
        public string Description
        {
            get
            {
                return "Cauchy distribution properties and samples generating examples";
            }
        }

        /// <summary>
        /// Run example
        /// </summary>
        /// <a href="http://en.wikipedia.org/wiki/Cauchy_distribution">Cauchy distribution</a>
        public void Run()
        {
            // 1. Initialize the new instance of the Cauchy distribution class with parameters Location = 1 and Scale = 2.
            var cauchy = new Cauchy(1, 2);
            Console.WriteLine(@"1. Initialize the new instance of the Cauchy distribution class with parameters Location = {0} and Scale = {1}", cauchy.Location, cauchy.Scale);
            Console.WriteLine();

            // 2. Distributuion properties:
            Console.WriteLine(@"2. {0} distributuion properties:", cauchy);

            // Cumulative distribution function
            Console.WriteLine(@"{0} - Сumulative distribution at location '0.3'", cauchy.CumulativeDistribution(0.3).ToString(" #0.00000;-#0.00000"));

            // Probability density
            Console.WriteLine(@"{0} - Probability density at location '0.3'", cauchy.Density(0.3).ToString(" #0.00000;-#0.00000"));

            // Log probability density
            Console.WriteLine(@"{0} - Log probability density at location '0.3'", cauchy.DensityLn(0.3).ToString(" #0.00000;-#0.00000"));

            // Entropy
            Console.WriteLine(@"{0} - Entropy", cauchy.Entropy.ToString(" #0.00000;-#0.00000"));

            // Largest element in the domain
            Console.WriteLine(@"{0} - Largest element in the domain", cauchy.Maximum.ToString(" #0.00000;-#0.00000"));

            // Smallest element in the domain
            Console.WriteLine(@"{0} - Smallest element in the domain", cauchy.Minimum.ToString(" #0.00000;-#0.00000"));

            // Median
            Console.WriteLine(@"{0} - Median", cauchy.Median.ToString(" #0.00000;-#0.00000"));

            // Mode
            Console.WriteLine(@"{0} - Mode", cauchy.Mode.ToString(" #0.00000;-#0.00000"));

            // 3. Generate 10 samples of the Cauchy distribution
            Console.WriteLine(@"3. Generate 10 samples of the Cauchy distribution");
            for (var i = 0; i < 10; i++)
            {
                Console.Write(cauchy.Sample().ToString("N05") + @" ");
            }

            Console.WriteLine();
        }
    }
}