87 lines
3.7 KiB
C#
87 lines
3.7 KiB
C#
using System;
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using System.Diagnostics.CodeAnalysis;
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using System.Linq;
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using System.Threading.Tasks;
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using FastRng.Double;
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using NUnit.Framework;
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namespace FastRngTests.Double.Distributions
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{
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[ExcludeFromCodeCoverage]
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public class CauchyLorentzX0
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{
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[Test]
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[Category(TestCategories.COVER)]
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[Category(TestCategories.NORMAL)]
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public async Task TestCauchyDistribution01()
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{
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// The properties of the cauchy distribution cannot be tested by mean, media or variance,
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// cf. https://en.wikipedia.org/wiki/Cauchy_distribution#Explanation_of_undefined_moments
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using var rng = new MultiThreadedRng();
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var dist = new FastRng.Double.Distributions.CauchyLorentzX0(rng);
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var fqa = new FrequencyAnalysis();
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for (var n = 0; n < 100_000; n++)
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fqa.CountThis(await dist.NextNumber());
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var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
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Assert.That(result[0], Is.EqualTo(0.976990739772031).Within(0.06));
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Assert.That(result[1], Is.EqualTo(0.948808314586299).Within(0.06));
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Assert.That(result[2], Is.EqualTo(0.905284997403441).Within(0.06));
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Assert.That(result[21], Is.EqualTo(0.168965864241396).Within(0.04));
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Assert.That(result[22], Is.EqualTo(0.156877686354491).Within(0.04));
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Assert.That(result[23], Is.EqualTo(0.145970509936354).Within(0.04));
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Assert.That(result[50], Is.EqualTo(0.036533159835978).Within(0.01));
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Assert.That(result[75], Is.EqualTo(0.016793067514802).Within(0.01));
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Assert.That(result[85], Is.EqualTo(0.01316382933791).Within(0.005));
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Assert.That(result[90], Is.EqualTo(0.011773781734516).Within(0.005));
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Assert.That(result[97], Is.EqualTo(0.010168596941156).Within(0.005));
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Assert.That(result[98], Is.EqualTo(0.009966272570142).Within(0.005));
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Assert.That(result[99], Is.EqualTo(0.00976990739772).Within(0.005));
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}
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[Test]
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[Category(TestCategories.COVER)]
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[Category(TestCategories.NORMAL)]
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public async Task TestCauchyGeneratorWithRange01()
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{
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using var rng = new MultiThreadedRng();
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var dist = new FastRng.Double.Distributions.CauchyLorentzX0(rng);
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var samples = new double[1_000];
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for (var n = 0; n < samples.Length; n++)
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samples[n] = await dist.NextNumber(-1.0, 1.0);
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Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0), "Min is out of range");
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Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0), "Max is out of range");
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}
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[Test]
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[Category(TestCategories.COVER)]
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[Category(TestCategories.NORMAL)]
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public async Task TestCauchyGeneratorWithRange02()
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{
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using var rng = new MultiThreadedRng();
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var dist = new FastRng.Double.Distributions.CauchyLorentzX0(rng);
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var samples = new double[1_000];
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for (var n = 0; n < samples.Length; n++)
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samples[n] = await dist.NextNumber(0.0, 1.0);
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Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0), "Min is out of range");
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Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0), "Max is out of range");
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}
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[Test]
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[Category(TestCategories.COVER)]
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[Category(TestCategories.NORMAL)]
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public void NoRandomNumberGenerator01()
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{
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Assert.Throws<ArgumentNullException>(() => new FastRng.Double.Distributions.CauchyLorentzX0(null));
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}
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}
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} |