86 lines
3.5 KiB
C#
86 lines
3.5 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;
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using NUnit.Framework;
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namespace FastRngTests.Distributions;
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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<float>();
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var dist = new FastRng.Distributions.CauchyLorentzX0<float>(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(0.976990739772031f).Within(0.06f));
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Assert.That(result[1], Is.EqualTo(0.948808314586299f).Within(0.06f));
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Assert.That(result[2], Is.EqualTo(0.905284997403441f).Within(0.06f));
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Assert.That(result[21], Is.EqualTo(0.168965864241396f).Within(0.04f));
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Assert.That(result[22], Is.EqualTo(0.156877686354491f).Within(0.04f));
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Assert.That(result[23], Is.EqualTo(0.145970509936354f).Within(0.04f));
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Assert.That(result[50], Is.EqualTo(0.036533159835978f).Within(0.01f));
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Assert.That(result[75], Is.EqualTo(0.016793067514802f).Within(0.01f));
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Assert.That(result[85], Is.EqualTo(0.01316382933791f).Within(0.005f));
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Assert.That(result[90], Is.EqualTo(0.011773781734516f).Within(0.005f));
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Assert.That(result[97], Is.EqualTo(0.010168596941156f).Within(0.005f));
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Assert.That(result[98], Is.EqualTo(0.009966272570142f).Within(0.005f));
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Assert.That(result[99], Is.EqualTo(0.00976990739772f).Within(0.005f));
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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<float>();
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var dist = new FastRng.Distributions.CauchyLorentzX0<float>(rng);
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var samples = new float[1_000];
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for (var n = 0; n < samples.Length; n++)
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samples[n] = await dist.NextNumber(-1.0f, 1.0f);
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Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min is out of range");
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Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "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<float>();
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var dist = new FastRng.Distributions.CauchyLorentzX0<float>(rng);
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var samples = new float[1_000];
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for (var n = 0; n < samples.Length; n++)
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samples[n] = await dist.NextNumber(0.0f, 1.0f);
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Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
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Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "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.Distributions.CauchyLorentzX0<float>(null));
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}
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} |