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// <copyright file="Combinatorics.cs" company="Math.NET">
|
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// Math.NET Numerics, part of the Math.NET Project
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// http://mathnet.opensourcedotnet.info
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//
|
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// Copyright (c) 2009 Math.NET
|
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//
|
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// Permission is hereby granted, free of charge, to any person
|
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// obtaining a copy of this software and associated documentation
|
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// files (the "Software"), to deal in the Software without
|
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// restriction, including without limitation the rights to use,
|
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// copy, modify, merge, publish, distribute, sublicense, and/or sell
|
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// copies of the Software, and to permit persons to whom the
|
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// Software is furnished to do so, subject to the following
|
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// conditions:
|
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//
|
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// The above copyright notice and this permission notice shall be
|
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// included in all copies or substantial portions of the Software.
|
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//
|
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// 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
|
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// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
|
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// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
|
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// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
|
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
|
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// OTHER DEALINGS IN THE SOFTWARE.
|
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// </copyright>
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|
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namespace MathNet.Numerics.UnitTests |
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{ |
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using System; |
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using MbUnit.Framework; |
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using MathNet.Numerics.Distributions; |
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[TestFixture] |
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public class NormalTests |
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{ |
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[Test, MultipleAsserts] |
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public void CanCreateStandardNormal() |
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{ |
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var n = new Normal(); |
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AssertEx.AreEqual<double>(0.0, n.Mean); |
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AssertEx.AreEqual<double>(1.0, n.StdDev); |
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} |
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|
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[Test, MultipleAsserts] |
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[Row(0.0, 0.0)] |
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[Row(0.0, 0.1)] |
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[Row(0.0, 1.0)] |
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[Row(0.0, 10.0)] |
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[Row(10.0, 1.0)] |
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[Row(-5.0, 100.0)] |
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[Row(0.0, Double.PositiveInfinity)] |
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public void CanCreateNormal(double mean, double sdev) |
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{ |
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var n = new Normal(mean, sdev); |
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AssertEx.AreEqual<double>(mean, n.Mean); |
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AssertEx.AreEqual<double>(sdev, n.StdDev); |
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} |
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|
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[Test] |
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[ExpectedException(typeof(ArgumentOutOfRangeException))] |
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public void NormalCreateFailsWithMeanIsNaN() |
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{ |
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var n = new Normal(Double.NaN, 1.0); |
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} |
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|
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[Test] |
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[ExpectedException(typeof(ArgumentOutOfRangeException))] |
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public void NormalCreateFailsWithStdDevIsNaN() |
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{ |
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var n = new Normal(0.0, Double.NaN); |
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} |
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|
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[Test, MultipleAsserts] |
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[Row(0.0, 0.0)] |
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[Row(0.0, 0.1)] |
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[Row(0.0, 1.0)] |
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[Row(0.0, 10.0)] |
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[Row(10.0, 1.0)] |
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[Row(-5.0, 100.0)] |
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[Row(0.0, Double.PositiveInfinity)] |
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public void CanCreateNormalFromMeanAndStdDev(double mean, double sdev) |
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{ |
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var n = Normal.WithMeanStdDev(mean, sdev); |
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AssertEx.AreEqual<double>(mean, n.Mean); |
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AssertEx.AreEqual<double>(sdev, n.StdDev); |
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} |
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|
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[Test, MultipleAsserts] |
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[Row(0.0, 0.0)] |
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[Row(0.0, 0.1)] |
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[Row(0.0, 1.0)] |
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[Row(0.0, 10.0)] |
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[Row(10.0, 1.0)] |
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[Row(-5.0, 100.0)] |
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[Row(0.0, Double.PositiveInfinity)] |
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public void CanCreateNormalFromMeanAndVariance(double mean, double var) |
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{ |
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var n = Normal.WithMeanVariance(mean, var); |
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AssertEx.AreEqual<double>(mean, n.Mean); |
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AssertEx.AreEqual<double>(var, n.Variance); |
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} |
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|
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[Test, MultipleAsserts] |
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[Row(0.0, 0.0)] |
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[Row(0.0, 0.1)] |
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[Row(0.0, 1.0)] |
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[Row(0.0, 10.0)] |
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[Row(10.0, 1.0)] |
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[Row(-5.0, 100.0)] |
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[Row(0.0, Double.PositiveInfinity)] |
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public void CanCreateNormalFromMeanAndPrecision(double mean, double prec) |
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{ |
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var n = Normal.WithMeanAndPrecision(mean, prec); |
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AssertEx.AreEqual<double>(mean, n.Mean); |
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AssertEx.AreEqual<double>(prec, n.Precision); |
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} |
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[Test] |
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public void ToStringTest() |
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{ |
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var n = new Normal(1.0, 2.0); |
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AssertEx.AreEqual<string>("Normal(Mean = 1, StdDev = 2)", n.ToString()); |
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} |
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[Test] |
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public void CanGetRandomNumberGenerator() |
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{ |
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var n = new Normal(); |
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var rs = n.RandomNumberGenerator; |
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Assert.IsNotNull(rs); |
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} |
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[Test] |
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[Row(-0.0)] |
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[Row(0.0)] |
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[Row(0.1)] |
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[Row(1.0)] |
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[Row(10.0)] |
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[Row(0.0, Double.PositiveInfinity)] |
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public void CanSetRandomNumberGenerator(double prec) |
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{ |
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var n = new Normal(); |
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n.Precision = prec; |
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} |
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[Test] |
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[ExpectedException(typeof(ArgumentOutOfRangeException))] |
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public void SetPrecisionFailsWithNegativePrecision() |
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{ |
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var n = new Normal(); |
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n.Precision = -1.0; |
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} |
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} |
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} |
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@ -0,0 +1,193 @@ |
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// <copyright file="Combinatorics.cs" company="Math.NET">
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// Math.NET Numerics, part of the Math.NET Project
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// http://mathnet.opensourcedotnet.info
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//
|
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// Copyright (c) 2009 Math.NET
|
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//
|
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// 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
|
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// Software is furnished to do so, subject to the following
|
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// conditions:
|
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//
|
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// The above copyright notice and this permission notice shall be
|
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// included in all copies or substantial portions of the Software.
|
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//
|
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
|
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// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
|
|||
// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
|
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// 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
|
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// OTHER DEALINGS IN THE SOFTWARE.
|
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// </copyright>
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namespace MathNet.Numerics.Distributions |
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{ |
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using System; |
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using System.Collections.Generic; |
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/// <summary>
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/// Implements the univariate Normal (or Gaussian) distribution.
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/// </summary>
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public class Normal : IContinuousDistribution |
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{ |
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// Keeps track of the mean of the normal distribution.
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private double mMean; |
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// Keeps track of the standard deviation of the normal distribution.
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private double mStdDev; |
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/// <summary>
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/// Constructs a standard normal distribution. This is a normal distribution with mean 0.0
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/// and standard deviation 1.0.
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/// </summary>
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public Normal() : this(0.0, 1.0) |
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{ |
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} |
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/// <summary>
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/// Construct a normal distribution with a particular mean and standard deviation.
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/// </summary>
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/// <param name="mean">The mean of the normal distribution.</param>
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/// <param name="stddev">The standard deviation of the normal distribution.</param>
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public Normal(double mean, double stddev) |
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{ |
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SetParameters(mean, stddev); |
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} |
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/// <summary>
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/// Constructs a normal distribution from a mean and standard deviation.
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/// </summary>
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/// <param name="mean">The mean of the normal distribution.</param>
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/// <param name="stddev">The standard deviation of the normal distribution.</param>
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public static Normal WithMeanStdDev(double mean, double stddev) |
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{ |
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return new Normal(mean, stddev); |
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} |
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/// <summary>
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/// Constructs a normal distribution from a mean and variance.
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/// </summary>
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/// <param name="mean">The mean of the normal distribution.</param>
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/// <param name="stddev">The variance of the normal distribution.</param>
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public static Normal WithMeanVariance(double mean, double var) |
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{ |
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return new Normal(mean, System.Math.Sqrt(var)); |
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} |
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/// <summary>
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/// Constructs a normal distribution from a mean and precision.
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/// </summary>
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/// <param name="mean">The mean of the normal distribution.</param>
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/// <param name="stddev">The precision of the normal distribution.</param>
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public static Normal WithMeanAndPrecision(double mean, double prec) |
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{ |
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return new Normal(mean, 1.0 / System.Math.Sqrt(prec)); |
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} |
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/// <summary>
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/// A string representation of the distribution.
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/// </summary>
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public override string ToString() |
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{ |
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return "Normal(Mean = " + mMean + ", StdDev = " + mStdDev + ")"; |
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} |
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/// <summary>
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/// Checks whether the parameters of the distribution are valid.
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/// </summary>
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/// <param name="mean">The mean of the normal distribution.</param>
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/// <param name="stddev">The standard deviation of the normal distribution.</param>
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/// <returns>True when the parameters are valid, false otherwise.</returns>
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private static bool IsValidParameterSet(double mean, double stddev) |
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{ |
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if (stddev < 0.0) |
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{ |
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return false; |
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} |
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else if (System.Double.IsNaN(mean)) |
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{ |
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return false; |
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} |
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else if (System.Double.IsNaN(stddev)) |
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{ |
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return false; |
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} |
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return true; |
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} |
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/// <summary>
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/// Sets the parameters of the distribution after checking their validity.
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/// </summary>
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/// <param name="mean">The mean of the normal distribution.</param>
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/// <param name="stddev">The standard deviation of the normal distribution.</param>
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/// <exception cref="ArgumentOutOfRangeException">When the parameters don't pass the <see cref="IsValidParameterSet"/> function.</exception>
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private void SetParameters(double mean, double stddev) |
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{ |
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if (IsValidParameterSet(mean, stddev)) |
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{ |
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mMean = mean; |
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mStdDev = stddev; |
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} |
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else |
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{ |
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throw new System.ArgumentOutOfRangeException("Invalid parameterization for the normal distribution."); |
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} |
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} |
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public double Precision |
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{ |
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get { return 1.0 / (mStdDev * mStdDev); } |
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set { throw new NotImplementedException(); } |
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} |
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#region IDistribution implementation
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public Random RandomNumberGenerator { get; set; } |
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public double Mean |
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{ |
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get { return mMean; } |
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set { throw new NotImplementedException(); } |
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} |
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public double Variance |
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{ |
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get { return mStdDev * mStdDev; } |
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set { throw new NotImplementedException(); } |
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} |
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public double StdDev |
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{ |
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get { return mStdDev; } |
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set { throw new NotImplementedException(); } |
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} |
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public double Entropy { get { throw new NotImplementedException(); } } |
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public double Skewness { get { throw new NotImplementedException(); } } |
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#endregion
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#region IContinuousDistribution implementation
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public double Mode { get { throw new NotImplementedException(); } } |
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public double Median { get { throw new NotImplementedException(); } } |
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public double Minimum { get { throw new NotImplementedException(); } } |
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public double Maximum { get { throw new NotImplementedException(); } } |
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public double Density(double x) { throw new NotImplementedException(); } |
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public double DensityLn(double x) { throw new NotImplementedException(); } |
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public double CumulativeDistribution(double x) { throw new NotImplementedException(); } |
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public double Sample() { throw new NotImplementedException(); } |
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public IEnumerable<double> Samples() { throw new NotImplementedException(); } |
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#endregion
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public double InverseCumulativeDistribution(double p) |
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{ |
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throw new NotImplementedException(); |
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} |
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public static double Sample(System.Random rng, double mean, double stddev) { throw new NotImplementedException(); } |
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public static IEnumerable<double> Samples(System.Random rng, double mean, double stddev) { throw new NotImplementedException(); } |
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} |
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} |
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@ -0,0 +1,48 @@ |
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// <copyright file="Combinatorics.cs" company="Math.NET">
|
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// Math.NET Numerics, part of the Math.NET Project
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// http://mathnet.opensourcedotnet.info
|
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//
|
|||
// Copyright (c) 2009 Math.NET
|
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//
|
|||
// 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>
|
|||
|
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namespace MathNet.Numerics.Distributions |
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{ |
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using System.Collections.Generic; |
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|
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/// <summary>
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/// The interface for continuous univariate distributions.
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/// </summary>
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public interface IContinuousDistribution : IDistribution |
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{ |
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double Mode { get; } |
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double Median { get; } |
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double Minimum { get; } |
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double Maximum { get; } |
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double Density(double x); |
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double DensityLn(double x); |
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|
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double Sample(); |
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IEnumerable<double> Samples(); |
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} |
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} |
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@ -0,0 +1,80 @@ |
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// <copyright file="Combinatorics.cs" company="Math.NET">
|
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// Math.NET Numerics, part of the Math.NET Project
|
|||
// http://mathnet.opensourcedotnet.info
|
|||
//
|
|||
// Copyright (c) 2009 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>
|
|||
|
|||
namespace MathNet.Numerics.Distributions |
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{ |
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using System.Collections.Generic; |
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|
|||
/// <summary>
|
|||
/// The interface for discrete univariate distributions.
|
|||
/// </summary>
|
|||
public interface IDiscreteDistribution : IDistribution |
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{ |
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/// <summary>
|
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/// The mode of the distribution.
|
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/// </summary>
|
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int Mode { get; } |
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|
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/// <summary>
|
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/// The median of the distribution.
|
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/// </summary>
|
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int Median { get; } |
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|
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/// <summary>
|
|||
/// The smallest element in the domain of the distributions which can be represented by an integer.
|
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/// </summary>
|
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int Minimum { get; } |
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|
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/// <summary>
|
|||
/// The largest element in the domain of the distributions which can be represented by an integer.
|
|||
/// </summary>
|
|||
int Maximum { get; } |
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|
|||
/// <summary>
|
|||
/// Computes values of the probability mass function.
|
|||
/// </summary>
|
|||
/// <param name="k">The location in the domain where we want to evaluate the probability mass function.</param>
|
|||
double Probability(int k); |
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|
|||
/// <summary>
|
|||
/// Computes values of the log probability mass function.
|
|||
/// </summary>
|
|||
/// <param name="k">The location in the domain where we want to evaluate the log probability mass function.</param>
|
|||
double ProbabilityLn(int k); |
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|
|||
/// <summary>
|
|||
/// Draws a random sample from the distribution.
|
|||
/// </summary>
|
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int Sample(); |
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|
|||
/// <summary>
|
|||
/// Draws a sequence of random samples from the distribution.
|
|||
/// </summary>
|
|||
IEnumerable<int> Samples(); |
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} |
|||
} |
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@ -0,0 +1,73 @@ |
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// <copyright file="Combinatorics.cs" company="Math.NET">
|
|||
// Math.NET Numerics, part of the Math.NET Project
|
|||
// http://mathnet.opensourcedotnet.info
|
|||
//
|
|||
// Copyright (c) 2009 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>
|
|||
|
|||
namespace MathNet.Numerics.Distributions |
|||
{ |
|||
using System; |
|||
|
|||
/// <summary>
|
|||
/// The interface for univariate distributions.
|
|||
/// </summary>
|
|||
public interface IDistribution |
|||
{ |
|||
/// <summary>
|
|||
/// Gets or sets the random number generator which is used to generate random samples from the distribution.
|
|||
/// </summary>
|
|||
Random RandomNumberGenerator { get; set; } |
|||
|
|||
/// <summary>
|
|||
/// The mean of the distribution.
|
|||
/// </summary>
|
|||
double Mean { get; } |
|||
|
|||
/// <summary>
|
|||
/// The variance of the distribution.
|
|||
/// </summary>
|
|||
double Variance { get; } |
|||
|
|||
/// <summary>
|
|||
/// The standard deviation of the distribution.
|
|||
/// </summary>
|
|||
double StdDev { get; } |
|||
|
|||
/// <summary>
|
|||
/// The entropy of the distribution.
|
|||
/// </summary>
|
|||
double Entropy { get; } |
|||
|
|||
/// <summary>
|
|||
/// The skewness of the distribution.
|
|||
/// </summary>
|
|||
double Skewness { get; } |
|||
|
|||
/// <summary>
|
|||
/// Computes the cumulative distribution function (cdf) for this probability distribution.
|
|||
/// </summary>
|
|||
double CumulativeDistribution(double x); |
|||
} |
|||
} |
|||
@ -0,0 +1,35 @@ |
|||
using System; |
|||
|
|||
namespace Pnl.RandomSources |
|||
{ |
|||
// Do we want to inherit from System.Random so people can plugin any RNG not from our library?
|
|||
public abstract class RandomSource /* : System.Random */ |
|||
{ |
|||
protected RandomSource(bool threadSafe) { } |
|||
public abstract int Next(); |
|||
public abstract int Next(int maxValue); |
|||
public abstract int Next(int minValue, int maxValue); |
|||
public abstract double NextDouble(); |
|||
public abstract double NextDouble(double maxValue); |
|||
public abstract double NextDouble(double minValue, double maxValue); |
|||
public abstract bool NextBoolean(); |
|||
public abstract void NextBytes(byte[] buffer); |
|||
|
|||
// Do we want Reset() or just a SetSeed kind of method?
|
|||
public abstract void Reset(); |
|||
public abstract bool CanReset |
|||
{ |
|||
get; |
|||
} |
|||
|
|||
public virtual long NextInt64() |
|||
{ |
|||
throw new NotImplementedException(); |
|||
} |
|||
|
|||
public virtual decimal NextDecimal() |
|||
{ |
|||
throw new NotImplementedException(); |
|||
} |
|||
} |
|||
} |
|||
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Reference in new issue