Added triangular distribution example (this time for real)

Signed-off-by: Superbest <arpharazon0@gmail.com>

src/Examples/ContinuousDistributions/TriangularDistribution.cs

@@ -0,0 +1,145 @@
+// <copyright file="ContinuousUniformDistribution.cs" company="Math.NET">
+// Math.NET Numerics, part of the Math.NET Project
+// http://numerics.mathdotnet.com
+// http://github.com/mathnet/mathnet-numerics
+// http://mathnetnumerics.codeplex.com
+// Copyright (c) 2009-2010 Math.NET
+// Permission is hereby granted, free of charge, to any person
+// obtaining a copy of this software and associated documentation
+// files (the "Software"), to deal in the Software without
+// restriction, including without limitation the rights to use,
+// copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the
+// Software is furnished to do so, subject to the following
+// conditions:
+// The above copyright notice and this permission notice shall be
+// included in all copies or substantial portions of the Software.
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
+// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
+// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+// OTHER DEALINGS IN THE SOFTWARE.
+// </copyright>
+
+using System;
+using MathNet.Numerics.Distributions;
+
+namespace Examples.TriangularExamples
+{
+    /// <summary>
+    /// ContinuousUniform distribution example
+    /// </summary>
+    public class TriangularDistribution : IExample
+    {
+        /// <summary>
+        /// Gets the name of this example
+        /// </summary>
+        /// <seealso cref="http://reference.wolfram.com/mathematica/ref/TriangularDistribution.html"/>
+        public string Name
+        {
+            get
+            {
+                return "Triangular distribution";
+            }
+        }
+
+        /// <summary>
+        /// Gets the description of this example
+        /// </summary>
+        public string Description
+        {
+            get
+            {
+                return "Triangular distribution properties and samples generating examples";
+            }
+        }
+
+        /// <summary>
+        /// Run example
+        /// </summary>
+        /// <a href="https://en.wikipedia.org/wiki/Triangular_distribution">Triangular distribution</a>
+        public void Run()
+        {
+            // 1. Initialize 
+            var triangular = new Triangular(0, 1, 0.3);
+            Console.WriteLine(@"1. Initialize the new instance of the Triangular distribution class with parameters Lower = {0}, Upper = {1}, Mode = {2}", triangular.LowerBound, triangular.UpperBound, triangular.Mode);
+            Console.WriteLine();
+
+            // 2. Distributuion properties:
+            Console.WriteLine(@"2. {0} distributuion properties:", triangular);
+
+            // Cumulative distribution function
+            Console.WriteLine(@"{0} - Сumulative distribution at location '0.3'", triangular.CumulativeDistribution(0.3).ToString(" #0.00000;-#0.00000"));
+
+            // Probability density
+            Console.WriteLine(@"{0} - Probability density at location '0.3'", triangular.Density(0.3).ToString(" #0.00000;-#0.00000"));
+
+            // Log probability density
+            Console.WriteLine(@"{0} - Log probability density at location '0.3'", triangular.DensityLn(0.3).ToString(" #0.00000;-#0.00000"));
+
+            // Entropy
+            Console.WriteLine(@"{0} - Entropy", triangular.Entropy.ToString(" #0.00000;-#0.00000"));
+
+            // Largest element in the domain
+            Console.WriteLine(@"{0} - Largest element in the domain", triangular.Maximum.ToString(" #0.00000;-#0.00000"));
+
+            // Smallest element in the domain
+            Console.WriteLine(@"{0} - Smallest element in the domain", triangular.Minimum.ToString(" #0.00000;-#0.00000"));
+
+            // Mean
+            Console.WriteLine(@"{0} - Mean", triangular.Mean.ToString(" #0.00000;-#0.00000"));
+
+            // Median
+            Console.WriteLine(@"{0} - Median", triangular.Median.ToString(" #0.00000;-#0.00000"));
+
+            // Mode
+            Console.WriteLine(@"{0} - Mode", triangular.Mode.ToString(" #0.00000;-#0.00000"));
+
+            // Variance
+            Console.WriteLine(@"{0} - Variance", triangular.Variance.ToString(" #0.00000;-#0.00000"));
+
+            // Standard deviation
+            Console.WriteLine(@"{0} - Standard deviation", triangular.StdDev.ToString(" #0.00000;-#0.00000"));
+
+            // Skewness
+            Console.WriteLine(@"{0} - Skewness", triangular.Skewness.ToString(" #0.00000;-#0.00000"));
+            Console.WriteLine();
+
+            // 10 samples
+            Console.WriteLine(@"3. Generate 10 samples of the Triangular distribution");
+            for (var i = 0; i < 10; i++)
+            {
+                Console.Write(triangular.Sample().ToString("N05") + @" ");
+            }
+
+            Console.WriteLine();
+            Console.WriteLine();
+
+            // 10000 samples with starting parameters
+            Console.WriteLine(@"4. Generate 100000 samples of the Triangular({0}, {1}, {2}) distribution and display histogram", triangular.LowerBound, triangular.UpperBound, triangular.Mode);
+            var data = new double[100000];
+            for (var i = 0; i < data.Length; i++)
+            {
+                data[i] = triangular.Sample();
+            }
+
+            ConsoleHelper.DisplayHistogram(data);
+            Console.WriteLine();
+
+            // 10000 with different parameters
+            triangular.UpperBound = 10;
+            triangular.Mode = 8;
+            triangular.LowerBound = 2;
+            Console.WriteLine(@"4. Generate 100000 samples of the Triangular({0}, {1}, {2}) distribution and display histogram", triangular.LowerBound, triangular.UpperBound, triangular.Mode);
+            for (var i = 0; i < data.Length; i++)
+            {
+                data[i] = triangular.Sample();
+            }
+
+            ConsoleHelper.DisplayHistogram(data);
+        }
+    }
+}