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Added float implementations

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This commit is contained in:
Thorsten Sommer 2020-11-01 10:52:42 +01:00
parent e5aa1db7ae
commit 54c9e790d9
25 changed files with 3180 additions and 0 deletions
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105
FastRngTests/Float/Distributions/BetaA2B2.cs Normal file
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using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class BetaA2B2
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaDistribution01()
{
var dist = new FastRng.Float.Distributions.BetaA2B2();
var fqa = new Float.FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fqa.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.0396f).Within(0.3f));
Assert.That(result[1], Is.EqualTo(0.0784f).Within(0.3f));
Assert.That(result[2], Is.EqualTo(0.1164f).Within(0.3f));
Assert.That(result[21], Is.EqualTo(0.6864f).Within(0.3f));
Assert.That(result[22], Is.EqualTo(0.7084f).Within(0.3f));
Assert.That(result[23], Is.EqualTo(0.7296f).Within(0.3f));
Assert.That(result[50], Is.EqualTo(0.9996f).Within(0.3f));
Assert.That(result[75], Is.EqualTo(0.7296f).Within(0.3f));
Assert.That(result[85], Is.EqualTo(0.4816f).Within(0.3f));
Assert.That(result[90], Is.EqualTo(0.3276f).Within(0.3f));
Assert.That(result[97], Is.EqualTo(0.0784f).Within(0.3f));
Assert.That(result[98], Is.EqualTo(0.0396f).Within(0.3f));
Assert.That(result[99], Is.EqualTo(0.0000f).Within(0.3f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var samples = new float[1_000];
var dist = new FastRng.Float.Distributions.BetaA2B2();
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var samples = new float[1_000];
var dist = new FastRng.Float.Distributions.BetaA2B2();
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.BetaA2B2 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.BetaA2B2();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

105
FastRngTests/Float/Distributions/BetaA2B5.cs Normal file
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using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class BetaA2B5
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaDistribution01()
{
var dist = new FastRng.Float.Distributions.BetaA2B5();
var fqa = new Float.FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fqa.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.11719271f).Within(0.3f));
Assert.That(result[1], Is.EqualTo(0.22505783f).Within(0.3f));
Assert.That(result[2], Is.EqualTo(0.32401717f).Within(0.3f));
Assert.That(result[21], Is.EqualTo(0.99348410f).Within(0.3f));
Assert.That(result[22], Is.EqualTo(0.98639433f).Within(0.3f));
Assert.That(result[23], Is.EqualTo(0.97684451f).Within(0.3f));
Assert.That(result[50], Is.EqualTo(0.35868592f).Within(0.3f));
Assert.That(result[75], Is.EqualTo(0.03076227f).Within(0.03f));
Assert.That(result[85], Is.EqualTo(0.00403061f).Within(0.03f));
Assert.That(result[90], Is.EqualTo(0.00109800f).Within(0.01f));
Assert.That(result[97], Is.EqualTo(0.00000191f).Within(0.000003f));
Assert.That(result[98], Is.EqualTo(0.00000012f).Within(0.0000003f));
Assert.That(result[99], Is.EqualTo(0.00000000f).Within(0.0000003f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var samples = new float[1_000];
var dist = new FastRng.Float.Distributions.BetaA2B5();
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var samples = new float[1_000];
var dist = new FastRng.Float.Distributions.BetaA2B5();
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.BetaA2B5 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.BetaA2B5();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

106
FastRngTests/Float/Distributions/BetaA5B2.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class BetaA5B2
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaDistribution01()
{
var dist = new FastRng.Float.Distributions.BetaA5B2();
var fqa = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fqa.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.0000001f).Within(0.0000003f));
Assert.That(result[1], Is.EqualTo(0.0000019f).Within(0.00001f));
Assert.That(result[2], Is.EqualTo(0.0000096f).Within(0.0004f));
Assert.That(result[21], Is.EqualTo(0.0222918f).Within(0.03f));
Assert.That(result[22], Is.EqualTo(0.0262883f).Within(0.03f));
Assert.That(result[23], Is.EqualTo(0.0307623f).Within(0.03f));
Assert.That(result[50], Is.EqualTo(0.4044237f).Within(0.2f));
Assert.That(result[75], Is.EqualTo(0.9768445f).Within(0.15f));
Assert.That(result[85], Is.EqualTo(0.9552714f).Within(0.15f));
Assert.That(result[90], Is.EqualTo(0.8004420f).Within(0.35f));
Assert.That(result[97], Is.EqualTo(0.2250578f).Within(0.03f));
Assert.That(result[98], Is.EqualTo(0.1171927f).Within(0.03f));
Assert.That(result[99], Is.EqualTo(0f).Within(0.0004f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var samples = new float[1_000];
var dist = new FastRng.Float.Distributions.BetaA5B2();
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var samples = new float[1_000];
var dist = new FastRng.Float.Distributions.BetaA5B2();
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestBetaGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.BetaA5B2 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.BetaA5B2();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

109
FastRngTests/Float/Distributions/CauchyLorentzX0.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class CauchyLorentzX0
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestCauchyDistribution01()
{
// The properties of the cauchy distribution cannot be tested by mean, media or variance,
// cf. https://en.wikipedia.org/wiki/Cauchy_distribution#Explanation_of_undefined_moments
var dist = new FastRng.Float.Distributions.CauchyLorentzX0();
var fqa = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fqa.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.976990739772031f).Within(0.06f));
Assert.That(result[1], Is.EqualTo(0.948808314586299f).Within(0.06f));
Assert.That(result[2], Is.EqualTo(0.905284997403441f).Within(0.06f));
Assert.That(result[21], Is.EqualTo(0.168965864241396f).Within(0.04f));
Assert.That(result[22], Is.EqualTo(0.156877686354491f).Within(0.04f));
Assert.That(result[23], Is.EqualTo(0.145970509936354f).Within(0.04f));
Assert.That(result[50], Is.EqualTo(0.036533159835978f).Within(0.01f));
Assert.That(result[75], Is.EqualTo(0.016793067514802f).Within(0.01f));
Assert.That(result[85], Is.EqualTo(0.01316382933791f).Within(0.005f));
Assert.That(result[90], Is.EqualTo(0.011773781734516f).Within(0.005f));
Assert.That(result[97], Is.EqualTo(0.010168596941156f).Within(0.005f));
Assert.That(result[98], Is.EqualTo(0.009966272570142f).Within(0.005f));
Assert.That(result[99], Is.EqualTo(0.00976990739772f).Within(0.005f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestCauchyGeneratorWithRange01()
{
var dist = new FastRng.Float.Distributions.CauchyLorentzX0();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestCauchyGeneratorWithRange02()
{
var dist = new FastRng.Float.Distributions.CauchyLorentzX0();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestCauchyGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.CauchyLorentzX0 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.CauchyLorentzX0();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

109
FastRngTests/Float/Distributions/CauchyLorentzX1.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class CauchyLorentzX1
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestCauchyDistribution01()
{
// The properties of the cauchy distribution cannot be tested by mean, media or variance,
// cf. https://en.wikipedia.org/wiki/Cauchy_distribution#Explanation_of_undefined_moments
var dist = new FastRng.Float.Distributions.CauchyLorentzX1();
var fqa = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fqa.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.009966272570142f).Within(0.003f));
Assert.That(result[1], Is.EqualTo(0.010168596941156f).Within(0.004f));
Assert.That(result[2], Is.EqualTo(0.010377123221893f).Within(0.005f));
Assert.That(result[21], Is.EqualTo(0.015956672819692f).Within(0.005f));
Assert.That(result[22], Is.EqualTo(0.016366904083094f).Within(0.005f));
Assert.That(result[23], Is.EqualTo(0.016793067514802f).Within(0.005f));
Assert.That(result[50], Is.EqualTo(0.039454644029179f).Within(0.015f));
Assert.That(result[75], Is.EqualTo(0.145970509936354f).Within(0.03f));
Assert.That(result[85], Is.EqualTo(0.333365083503296f).Within(0.1f));
Assert.That(result[90], Is.EqualTo(0.545171628270584f).Within(0.1f));
Assert.That(result[97], Is.EqualTo(0.948808314586302f).Within(0.06f));
Assert.That(result[98], Is.EqualTo(0.976990739772032f).Within(0.03f));
Assert.That(result[99], Is.EqualTo(0.986760647169751f).Within(0.02f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestCauchyGeneratorWithRange01()
{
var dist = new FastRng.Float.Distributions.CauchyLorentzX0();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestCauchyGeneratorWithRange02()
{
var dist = new FastRng.Float.Distributions.CauchyLorentzX0();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestCauchyGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.CauchyLorentzX0 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.CauchyLorentzX1();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

110
FastRngTests/Float/Distributions/ChiSquareK1.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class ChiSquareK1
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareDistribution01()
{
var dist = new FastRng.Float.Distributions.ChiSquareK1();
var fqa = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
{
var value = await rng.NextNumber(dist);
fqa.CountThis(value);
}
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(1.00032041964207f).Within(0.004f));
Assert.That(result[1], Is.EqualTo(0.70380551227703f).Within(0.05f));
Assert.That(result[2], Is.EqualTo(0.571788691668126f).Within(0.05f));
Assert.That(result[21], Is.EqualTo(0.192011337664754f).Within(0.07f));
Assert.That(result[22], Is.EqualTo(0.186854182385981f).Within(0.07f));
Assert.That(result[23], Is.EqualTo(0.182007652359976f).Within(0.07f));
Assert.That(result[50], Is.EqualTo(0.109088865614875f).Within(0.06f));
Assert.That(result[75], Is.EqualTo(0.07886274821701f).Within(0.02f));
Assert.That(result[85], Is.EqualTo(0.070520397849883f).Within(0.02f));
Assert.That(result[90], Is.EqualTo(0.066863009640287f).Within(0.02f));
Assert.That(result[97], Is.EqualTo(0.062214737436948f).Within(0.02f));
Assert.That(result[98], Is.EqualTo(0.061590997922187f).Within(0.02f));
Assert.That(result[99], Is.EqualTo(0.060976622578824f).Within(0.02f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareGeneratorWithRange01()
{
var dist = new FastRng.Float.Distributions.ChiSquareK1();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareGeneratorWithRange02()
{
var dist = new FastRng.Float.Distributions.ChiSquareK1();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.ChiSquareK1 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.ChiSquareK1();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

110
FastRngTests/Float/Distributions/ChiSquareK10.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class ChiSquareK10
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareDistribution01()
{
var dist = new FastRng.Float.Distributions.ChiSquareK10();
var fqa = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
{
var value = await rng.NextNumber(dist);
fqa.CountThis(value);
}
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.0000000164021588f).Within(0.0000002f));
Assert.That(result[1], Is.EqualTo(0.0000002611256437f).Within(0.000003f));
Assert.That(result[2], Is.EqualTo(0.0000013153553250f).Within(0.00002f));
Assert.That(result[21], Is.EqualTo(0.003459320622874f).Within(0.005f));
Assert.That(result[22], Is.EqualTo(0.004111875573379f).Within(0.005f));
Assert.That(result[23], Is.EqualTo(0.004850674298859f).Within(0.005f));
Assert.That(result[50], Is.EqualTo(0.086418773275056f).Within(0.05f));
Assert.That(result[75], Is.EqualTo(0.376092741436046f).Within(0.08f));
Assert.That(result[85], Is.EqualTo(0.586569751611096f).Within(0.08f));
Assert.That(result[90], Is.EqualTo(0.717189736168766f).Within(0.08f));
Assert.That(result[97], Is.EqualTo(0.931477764640217f).Within(0.08f));
Assert.That(result[98], Is.EqualTo(0.965244855212136f).Within(0.08f));
Assert.That(result[99], Is.EqualTo(0.999827884370044f).Within(0.08f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareGeneratorWithRange01()
{
var dist = new FastRng.Float.Distributions.ChiSquareK10();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareGeneratorWithRange02()
{
var dist = new FastRng.Float.Distributions.ChiSquareK10();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.ChiSquareK10 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.ChiSquareK10();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

107
FastRngTests/Float/Distributions/ChiSquareK4.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class ChiSquareK4
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareDistribution01()
{
var dist = new FastRng.Float.Distributions.ChiSquareK4();
var fqa = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fqa.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.016417705906679f).Within(0.02f));
Assert.That(result[1], Is.EqualTo(0.032671644513723f).Within(0.02f));
Assert.That(result[2], Is.EqualTo(0.048763041010352f).Within(0.02f));
Assert.That(result[21], Is.EqualTo(0.32518779111264f).Within(0.05f));
Assert.That(result[22], Is.EqualTo(0.338273451612642f).Within(0.05f));
Assert.That(result[23], Is.EqualTo(0.351220492939994f).Within(0.05f));
Assert.That(result[50], Is.EqualTo(0.65209223303425f).Within(0.08f));
Assert.That(result[75], Is.EqualTo(0.857562207152294f).Within(0.099f));
Assert.That(result[85], Is.EqualTo(0.923072405412387f).Within(0.099f));
Assert.That(result[90], Is.EqualTo(0.952623623874265f).Within(0.099f));
Assert.That(result[97], Is.EqualTo(0.990616879396201f).Within(0.099f));
Assert.That(result[98], Is.EqualTo(0.995734077068522f).Within(0.099f));
Assert.That(result[99], Is.EqualTo(1.00077558852585f).Within(0.1f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareGeneratorWithRange01()
{
var dist = new FastRng.Float.Distributions.ChiSquareK4();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareGeneratorWithRange02()
{
var dist = new FastRng.Float.Distributions.ChiSquareK4();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestChiSquareGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.ChiSquareK4 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.ChiSquareK4();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

104
FastRngTests/Float/Distributions/ExponentialLa10.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class ExponentialLa10
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialDistribution01()
{
var dist = new FastRng.Float.Distributions.ExponentialLa10();
var fqa = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fqa.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(1.00075018434777f).Within(0.05f));
Assert.That(result[1], Is.EqualTo(0.905516212904248f).Within(0.05f));
Assert.That(result[2], Is.EqualTo(0.81934495207398f).Within(0.05f));
Assert.That(result[21], Is.EqualTo(0.122548293148741f).Within(0.12f));
Assert.That(result[22], Is.EqualTo(0.110886281157421f).Within(0.12f));
Assert.That(result[23], Is.EqualTo(0.10033405633809f).Within(0.12f));
Assert.That(result[50], Is.EqualTo(0.00674300170146f).Within(0.005f));
Assert.That(result[75], Is.EqualTo(0.000553499285385f).Within(0.001f));
Assert.That(result[85], Is.EqualTo(0.000203621007796f).Within(0.001f));
Assert.That(result[90], Is.EqualTo(0.00012350238419f).Within(0.001f));
Assert.That(result[97], Is.EqualTo(0.0000613294689720f).Within(0.0008f));
Assert.That(result[98], Is.EqualTo(0.0000554931983541f).Within(0.0008f));
Assert.That(result[99], Is.EqualTo(0.0000502123223173f).Within(0.0008f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange01()
{
var dist = new FastRng.Float.Distributions.ExponentialLa10();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange02()
{
var dist = new FastRng.Float.Distributions.ExponentialLa10();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test] [Category(TestCategories.COVER)] [Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.ExponentialLa10 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.ExponentialLa10();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

104
FastRngTests/Float/Distributions/ExponentialLa5.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class ExponentialLa5
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialDistribution01()
{
var dist = new FastRng.Float.Distributions.ExponentialLa5();
var fqa = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fqa.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(1.0002177398625f).Within(0.05f));
Assert.That(result[1], Is.EqualTo(0.951436545064811f).Within(0.05f));
Assert.That(result[2], Is.EqualTo(0.905034437210948f).Within(0.05f));
Assert.That(result[21], Is.EqualTo(0.35001394450853f).Within(0.05f));
Assert.That(result[22], Is.EqualTo(0.332943563002074f).Within(0.05f));
Assert.That(result[23], Is.EqualTo(0.31670571382568f).Within(0.05f));
Assert.That(result[50], Is.EqualTo(0.082102871800213f).Within(0.01f));
Assert.That(result[75], Is.EqualTo(0.023522866606758f).Within(0.01f));
Assert.That(result[85], Is.EqualTo(0.014267339801329f).Within(0.01f));
Assert.That(result[90], Is.EqualTo(0.011111415409621f).Within(0.01f));
Assert.That(result[97], Is.EqualTo(0.007830082099077f).Within(0.008f));
Assert.That(result[98], Is.EqualTo(0.007448204488898f).Within(0.008f));
Assert.That(result[99], Is.EqualTo(0.007084951269538f).Within(0.008f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange01()
{
var dist = new FastRng.Float.Distributions.ExponentialLa5();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange02()
{
var dist = new FastRng.Float.Distributions.ExponentialLa5();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test] [Category(TestCategories.COVER)] [Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.ExponentialLa5 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.ExponentialLa5();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

106
FastRngTests/Float/Distributions/GammaA5B15.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class GammaA5B15
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestGammaDistribution01()
{
var dist = new FastRng.Float.Distributions.GammaA5B15();
var fra = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fra.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fra.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.0000929594237282f).Within(0.0008f));
Assert.That(result[1], Is.EqualTo(0.0012801746797876f).Within(0.002f));
Assert.That(result[2], Is.EqualTo(0.0055781488254349f).Within(0.004f));
Assert.That(result[21], Is.EqualTo(0.9331608887752720f).Within(0.09f));
Assert.That(result[22], Is.EqualTo(0.9594734828891280f).Within(0.09f));
Assert.That(result[23], Is.EqualTo(0.9790895765535350f).Within(0.09f));
Assert.That(result[50], Is.EqualTo(0.3478287795336570f).Within(0.06f));
Assert.That(result[75], Is.EqualTo(0.0403399049422936f).Within(0.009f));
Assert.That(result[85], Is.EqualTo(0.0163628388658126f).Within(0.009f));
Assert.That(result[90], Is.EqualTo(0.0097147611446660f).Within(0.005f));
Assert.That(result[97], Is.EqualTo(0.0041135143233153f).Within(0.008f));
Assert.That(result[98], Is.EqualTo(0.0036872732029996f).Within(0.008f));
Assert.That(result[99], Is.EqualTo(0.0033038503429554f).Within(0.008f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestGammaGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.GammaA5B15 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestGammaGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.GammaA5B15();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestGammaGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.GammaA5B15();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.GammaA5B15();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

104
FastRngTests/Float/Distributions/InverseExponentialLa10.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class InverseExponentialLa10
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialDistribution01()
{
var dist = new FastRng.Float.Distributions.InverseExponentialLa10();
var fqa = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fqa.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.0000501746820562f).Within(0.0003f));
Assert.That(result[1], Is.EqualTo(0.0000554515994322f).Within(0.0003f));
Assert.That(result[2], Is.EqualTo(0.0000612834950532f).Within(0.0003f));
Assert.That(result[21], Is.EqualTo(0.00040973497898f).Within(0.00045f));
Assert.That(result[22], Is.EqualTo(0.000452827182887f).Within(0.00050f));
Assert.That(result[23], Is.EqualTo(0.000500451433441f).Within(0.00051f));
Assert.That(result[50], Is.EqualTo(0.007446583070924f).Within(0.003f));
Assert.That(result[75], Is.EqualTo(0.090717953289412f).Within(0.02f));
Assert.That(result[85], Is.EqualTo(0.246596963941606f).Within(0.05f));
Assert.That(result[90], Is.EqualTo(0.406569659740598f).Within(0.08f));
Assert.That(result[97], Is.EqualTo(0.81873075307798f).Within(0.08f));
Assert.That(result[98], Is.EqualTo(0.904837418035957f).Within(0.08f));
Assert.That(result[99], Is.EqualTo(0.999999999999999f).Within(0.08f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange01()
{
var dist = new FastRng.Float.Distributions.InverseExponentialLa10();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange02()
{
var dist = new FastRng.Float.Distributions.InverseExponentialLa10();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test] [Category(TestCategories.COVER)] [Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.InverseExponentialLa10 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.InverseExponentialLa10();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

104
FastRngTests/Float/Distributions/InverseExponentialLa5.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class InverseExponentialLa5
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialDistribution01()
{
var dist = new FastRng.Float.Distributions.InverseExponentialLa5();
var fqa = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fqa.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fqa.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.007083408929052f).Within(0.008f));
Assert.That(result[1], Is.EqualTo(0.007446583070924f).Within(0.008f));
Assert.That(result[2], Is.EqualTo(0.007828377549226f).Within(0.008f));
Assert.That(result[21], Is.EqualTo(0.020241911445804f).Within(0.05f));
Assert.That(result[22], Is.EqualTo(0.021279736438377f).Within(0.05f));
Assert.That(result[23], Is.EqualTo(0.022370771856166f).Within(0.05f));
Assert.That(result[50], Is.EqualTo(0.08629358649937f).Within(0.02f));
Assert.That(result[75], Is.EqualTo(0.301194211912202f).Within(0.03f));
Assert.That(result[85], Is.EqualTo(0.496585303791409f).Within(0.05f));
Assert.That(result[90], Is.EqualTo(0.637628151621772f).Within(0.06f));
Assert.That(result[97], Is.EqualTo(0.904837418035959f).Within(0.08f));
Assert.That(result[98], Is.EqualTo(0.951229424500713f).Within(0.08f));
Assert.That(result[99], Is.EqualTo(1f).Within(0.08f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange01()
{
var dist = new FastRng.Float.Distributions.InverseExponentialLa5();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange02()
{
var dist = new FastRng.Float.Distributions.InverseExponentialLa5();
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test] [Category(TestCategories.COVER)] [Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.InverseExponentialLa5 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.InverseExponentialLa5();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

106
FastRngTests/Float/Distributions/InverseGammaA3B05.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class InverseGammaA3B05
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestInverseGammaDistribution01()
{
var dist = new FastRng.Float.Distributions.InverseGammaA3B05();
var fra = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fra.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fra.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.0000000000000003f).Within(0.0000001f));
Assert.That(result[1], Is.EqualTo(0.0000011605257228f).Within(0.00001f));
Assert.That(result[2], Is.EqualTo(0.0009536970016103f).Within(0.0015f));
Assert.That(result[21], Is.EqualTo(0.5880485243048120f).Within(0.05f));
Assert.That(result[22], Is.EqualTo(0.5433842148912880f).Within(0.05f));
Assert.That(result[23], Is.EqualTo(0.5017780549216030f).Within(0.05f));
Assert.That(result[50], Is.EqualTo(0.0741442015957425f).Within(0.009f));
Assert.That(result[75], Is.EqualTo(0.0207568945092484f).Within(0.006f));
Assert.That(result[85], Is.EqualTo(0.0136661506653688f).Within(0.006f));
Assert.That(result[90], Is.EqualTo(0.0112550619601327f).Within(0.006f));
Assert.That(result[97], Is.EqualTo(0.0087026933539773f).Within(0.005f));
Assert.That(result[98], Is.EqualTo(0.0083995375385004f).Within(0.005f));
Assert.That(result[99], Is.EqualTo(0.0081094156379928f).Within(0.005f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestInverseGammaGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.InverseGammaA3B05();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestInverseGammaGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.InverseGammaA3B05();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestInverseGammaGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.InverseGammaA3B05 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.InverseGammaA3B05();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

106
FastRngTests/Float/Distributions/LaplaceB01M0.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class LaplaceB01M0
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLaplaceDistribution01()
{
var dist = new FastRng.Float.Distributions.LaplaceB01M0();
var fra = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fra.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fra.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(1.0000000000000000f).Within(0.05f));
Assert.That(result[1], Is.EqualTo(0.9048374180359590f).Within(0.05f));
Assert.That(result[2], Is.EqualTo(0.8187307530779810f).Within(0.05f));
Assert.That(result[21], Is.EqualTo(0.1224564282529820f).Within(0.05f));
Assert.That(result[22], Is.EqualTo(0.1108031583623340f).Within(0.05f));
Assert.That(result[23], Is.EqualTo(0.1002588437228040f).Within(0.05f));
Assert.That(result[50], Is.EqualTo(0.0067379469990855f).Within(0.003f));
Assert.That(result[75], Is.EqualTo(0.0005530843701478f).Within(0.0015f));
Assert.That(result[85], Is.EqualTo(0.0002034683690106f).Within(0.0015f));
Assert.That(result[90], Is.EqualTo(0.0001234098040867f).Within(0.0015f));
Assert.That(result[97], Is.EqualTo(0.0000612834950532f).Within(0.0002f));
Assert.That(result[98], Is.EqualTo(0.0000554515994322f).Within(0.0002f));
Assert.That(result[99], Is.EqualTo(0.0000501746820562f).Within(0.0002f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLaplaceGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.LaplaceB01M0();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLaplaceGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.LaplaceB01M0();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLaplaceGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.LaplaceB01M0 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.LaplaceB01M0();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

106
FastRngTests/Float/Distributions/LaplaceB01M05.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class LaplaceB01M05
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLaplaceDistribution01()
{
var dist = new FastRng.Float.Distributions.LaplaceB01M05();
var fra = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fra.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fra.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.0074465830709244f).Within(0.004f));
Assert.That(result[1], Is.EqualTo(0.0082297470490200f).Within(0.004f));
Assert.That(result[2], Is.EqualTo(0.0090952771016958f).Within(0.01f));
Assert.That(result[21], Is.EqualTo(0.0608100626252180f).Within(0.02f));
Assert.That(result[22], Is.EqualTo(0.0672055127397498f).Within(0.02f));
Assert.That(result[23], Is.EqualTo(0.0742735782143340f).Within(0.02f));
Assert.That(result[50], Is.EqualTo(1.0000000000000000f).Within(0.2f));
Assert.That(result[75], Is.EqualTo(0.0742735782143335f).Within(0.01f));
Assert.That(result[85], Is.EqualTo(0.0273237224472924f).Within(0.01f));
Assert.That(result[90], Is.EqualTo(0.0165726754017612f).Within(0.01f));
Assert.That(result[97], Is.EqualTo(0.0082297470490200f).Within(0.004f));
Assert.That(result[98], Is.EqualTo(0.0074465830709243f).Within(0.004f));
Assert.That(result[99], Is.EqualTo(0.0067379469990854f).Within(0.004f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLaplaceGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.LaplaceB01M05();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLaplaceGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.LaplaceB01M05();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLaplaceGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.LaplaceB01M05 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.LaplaceB01M05();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

106
FastRngTests/Float/Distributions/LogNormalS1M0.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class LogNormalS1M0
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLogNormalDistribution01()
{
var dist = new FastRng.Float.Distributions.LogNormalS1M0();
var fra = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fra.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fra.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(0.001505531f).Within(0.003f));
Assert.That(result[1], Is.EqualTo(0.014408709f).Within(0.01f));
Assert.That(result[2], Is.EqualTo(0.043222256f).Within(0.02f));
Assert.That(result[21], Is.EqualTo(0.876212056f).Within(0.15f));
Assert.That(result[22], Is.EqualTo(0.895582226f).Within(0.15f));
Assert.That(result[23], Is.EqualTo(0.912837250f).Within(0.15f));
Assert.That(result[50], Is.EqualTo(0.948062005f).Within(0.2f));
Assert.That(result[75], Is.EqualTo(0.768584762f).Within(0.089f));
Assert.That(result[85], Is.EqualTo(0.697303612f).Within(0.089f));
Assert.That(result[90], Is.EqualTo(0.663570581f).Within(0.089f));
Assert.That(result[97], Is.EqualTo(0.618792767f).Within(0.089f));
Assert.That(result[98], Is.EqualTo(0.612636410f).Within(0.089f));
Assert.That(result[99], Is.EqualTo(0.606540679f).Within(0.089f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLogNormalGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.LogNormalS1M0();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLogNormalGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.LogNormalS1M0();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestLogNormalGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.LogNormalS1M0 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.LogNormalS1M0();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

102
FastRngTests/Float/Distributions/NormalS02M05.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class NormalS02M05
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestNormalDistribution01()
{
const float MEAN = 0.5f;
const float STANDARD_DEVIATION = 0.2f;
var dist = new FastRng.Float.Distributions.NormalS02M05();
var stats = new RunningStatistics();
var fra = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
{
var nextNumber = await rng.NextNumber(dist);
stats.Push(nextNumber);
fra.CountThis(nextNumber);
}
rng.StopProducer();
fra.NormalizeAndPlotEvents(TestContext.WriteLine);
TestContext.WriteLine($"mean={MEAN} vs. {stats.Mean}");
TestContext.WriteLine($"variance={STANDARD_DEVIATION * STANDARD_DEVIATION} vs {stats.Variance}");
Assert.That(stats.Mean, Is.EqualTo(MEAN).Within(0.01f), "Mean is out of range");
Assert.That(stats.Variance, Is.EqualTo(STANDARD_DEVIATION*STANDARD_DEVIATION).Within(0.01f), "Variance is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestNormalGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var samples = new float[1_000];
var dist = new FastRng.Float.Distributions.NormalS02M05();
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestNormalGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var samples = new float[1_000];
var dist = new FastRng.Float.Distributions.NormalS02M05();
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestNormalGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.NormalS02M05 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.NormalS02M05();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

106
FastRngTests/Float/Distributions/StudentTNu1.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class StudentTNu1
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestStudentTDistribution01()
{
var dist = new FastRng.Float.Distributions.StudentTNu1();
var fra = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fra.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fra.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(1.000000000f).Within(0.2f));
Assert.That(result[1], Is.EqualTo(0.999700120f).Within(0.2f));
Assert.That(result[2], Is.EqualTo(0.999200719f).Within(0.2f));
Assert.That(result[21], Is.EqualTo(0.953929798f).Within(0.2f));
Assert.That(result[22], Is.EqualTo(0.949852788f).Within(0.2f));
Assert.That(result[23], Is.EqualTo(0.945631619f).Within(0.2f));
Assert.That(result[50], Is.EqualTo(0.793667169f).Within(0.095f));
Assert.That(result[75], Is.EqualTo(0.633937627f).Within(0.09f));
Assert.That(result[85], Is.EqualTo(0.574902276f).Within(0.09f));
Assert.That(result[90], Is.EqualTo(0.547070729f).Within(0.09f));
Assert.That(result[97], Is.EqualTo(0.510150990f).Within(0.09f));
Assert.That(result[98], Is.EqualTo(0.505075501f).Within(0.09f));
Assert.That(result[99], Is.EqualTo(0.500050000f).Within(0.09f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestStudentTGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.StudentTNu1();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestStudentTGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.StudentTNu1();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestStudentTGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.StudentTNu1 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.StudentTNu1();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

301
FastRngTests/Float/Distributions/Uniform.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class Uniform
{
private readonly IRandom rng = new MultiThreadedRng();
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestUniformDistribution01()
{
const float A = 0.0f;
const float B = 1.0f;
const float MEAN = 0.5f * (A + B);
const float VARIANCE = (1.0f / 12.0f) * (B - A) * (B - A);
var stats = new RunningStatistics();
var fra = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
{
var value = await rng.GetUniform();
stats.Push(value);
fra.CountThis(value);
}
rng.StopProducer();
fra.NormalizeAndPlotEvents(TestContext.WriteLine);
fra.PlotOccurence(TestContext.WriteLine);
TestContext.WriteLine($"mean={MEAN} vs. {stats.Mean}");
TestContext.WriteLine($"variance={VARIANCE} vs {stats.Variance}");
Assert.That(stats.Mean, Is.EqualTo(MEAN).Within(0.01f), "Mean is out of range");
Assert.That(stats.Variance, Is.EqualTo(VARIANCE).Within(0.001f), "Variance is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task KolmogorovSmirnovTest()
{
// Kolmogorov-Smirnov test for distributions.
// See Knuth volume 2, page 48-51 (third edition).
// This test should *fail* on average one time in 1000 runs.
// That's life with random number generators: if the test passed all the time,
// the source wouldn't be random enough! If the test were to fail more frequently,
// the most likely explanation would be a bug in the code.
const int NUM_ROUNDS = 10_000;
const float FAILURE_PROBABILITY = 0.001f; // probability of test failing with normal distributed input
const float P_LOW = 0.25f * FAILURE_PROBABILITY;
const float P_HIGH = 1.0f - 0.25f * FAILURE_PROBABILITY;
var samples = new float[NUM_ROUNDS];
var rng = new MultiThreadedRng();
int n;
for (n = 0; n != NUM_ROUNDS; ++n)
samples[n] = await rng.GetUniform();
rng.StopProducer();
Array.Sort(samples);
var jMinus = 0;
var jPlus = 0;
var kPlus = -float.MaxValue;
var kMinus = -float.MaxValue;
for (n = 0; n != NUM_ROUNDS; ++n)
{
var cdf = samples[n];
var temp = (n + 1.0f) / NUM_ROUNDS - cdf;
if (kPlus < temp)
{
kPlus = temp;
jPlus = n;
}
temp = cdf - (n + 0.0f) / NUM_ROUNDS;
if (kMinus < temp)
{
kMinus = temp;
jMinus = n;
}
}
var sqrtNumReps = MathF.Sqrt(NUM_ROUNDS);
kPlus *= sqrtNumReps;
kMinus *= sqrtNumReps;
// We divide the failure probability by four because we have four tests:
// left and right tests for K+ and K-.
var cutoffLow = MathF.Sqrt(0.5f * MathF.Log(1.0f / (1.0f - P_LOW))) - 1.0f / (6.0f * sqrtNumReps);
var cutoffHigh = MathF.Sqrt(0.5f * MathF.Log(1.0f / (1.0f - P_HIGH))) - 1.0f / (6.0f * sqrtNumReps);
TestContext.WriteLine($"K+ = {kPlus} | K- = {kMinus}");
TestContext.WriteLine($"K+ max at position {jPlus} = {samples[jPlus]}");
TestContext.WriteLine($"K- max at position {jMinus} = {samples[jMinus]}");
TestContext.WriteLine($"Acceptable interval: [{cutoffLow}, {cutoffHigh}]");
Assert.That(kPlus, Is.GreaterThanOrEqualTo(cutoffLow), "K+ is lower than low cutoff");
Assert.That(kPlus, Is.LessThanOrEqualTo(cutoffHigh), "K+ is higher than high cutoff");
Assert.That(kMinus, Is.GreaterThanOrEqualTo(cutoffLow), "K- is lower than low cutoff");
Assert.That(kMinus, Is.LessThanOrEqualTo(cutoffHigh), "K- is lower than high cutoff");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestUniformGeneratorWithRange01()
{
var samples = new float[1_000];
var dist = new FastRng.Float.Distributions.Uniform();
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestUniformGeneratorWithRange02()
{
var samples = new float[1_000];
var dist = new FastRng.Float.Distributions.Uniform();
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestUniformGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.Uniform { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestUniformGeneratorWithRange04()
{
var rng = new MultiThreadedRng();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.GetUniform();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange05Uint()
{
var dist = new FastRng.Float.Distributions.Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
distribution[await rng.NextNumber(0, 100, dist)]++;
for (var n = 0; n < distribution.Length - 1; n++)
Assert.That(distribution[n], Is.GreaterThan(0));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange05Ulong()
{
var dist = new FastRng.Float.Distributions.Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
distribution[await rng.NextNumber(0UL, 100, dist)]++;
for (var n = 0; n < distribution.Length - 1; n++)
Assert.That(distribution[n], Is.GreaterThan(0));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange05Float()
{
var dist = new FastRng.Float.Distributions.Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
distribution[(uint)MathF.Floor(await rng.NextNumber(0.0f, 100.0f, dist))]++;
for (var n = 0; n < distribution.Length - 1; n++)
Assert.That(distribution[n], Is.GreaterThan(0));
}
[Test]
[Category(TestCategories.NORMAL)]
public async Task TestDistribution001Uint()
{
var dist = new FastRng.Float.Distributions.Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
distribution[await rng.NextNumber(0, 100, dist)]++;
Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 600));
}
[Test]
[Category(TestCategories.NORMAL)]
public async Task TestDistribution001Ulong()
{
var dist = new FastRng.Float.Distributions.Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
distribution[await rng.NextNumber(0UL, 100, dist)]++;
Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 600));
}
[Test]
[Category(TestCategories.NORMAL)]
public async Task TestDistribution001Float()
{
var dist = new FastRng.Float.Distributions.Uniform();
var distribution = new uint[101];
var runs = 1_000_000;
for (var n = 0; n < runs; n++)
distribution[(uint)MathF.Floor(await rng.NextNumber(0.0f, 100.0f, dist))]++;
Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 600));
}
[Test]
[Category(TestCategories.LONG_RUNNING)]
public async Task TestDistribution002Uint()
{
var dist = new FastRng.Float.Distributions.Uniform();
var distribution = new uint[101];
var runs = 100_000_000;
for (var n = 0; n < runs; n++)
distribution[await rng.NextNumber(0, 100, dist)]++;
Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 6_000));
}
[Test]
[Category(TestCategories.LONG_RUNNING)]
public async Task TestDistribution002Ulong()
{
var dist = new FastRng.Float.Distributions.Uniform();
var distribution = new uint[101];
var runs = 100_000_000;
for (var n = 0; n < runs; n++)
distribution[await rng.NextNumber(0UL, 100, dist)]++;
Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 6_000));
}
[Test]
[Category(TestCategories.LONG_RUNNING)]
public async Task TestDistribution002Float()
{
var dist = new FastRng.Float.Distributions.Uniform();
var distribution = new uint[101];
var runs = 100_000_000;
for (var n = 0; n < runs; n++)
distribution[(uint)MathF.Floor(await rng.NextNumber(0.0f, 100.0f, dist))]++;
Assert.That(distribution[..^1].Max() - distribution[..^1].Min(), Is.InRange(0, 6_000));
}
}
}

106
FastRngTests/Float/Distributions/WeibullK05La1.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float.Distributions
{
[ExcludeFromCodeCoverage]
public class WeibullK05La1
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestWeibullDistribution01()
{
var dist = new FastRng.Float.Distributions.WeibullK05La1();
var fra = new FrequencyAnalysis();
var rng = new MultiThreadedRng();
for (var n = 0; n < 100_000; n++)
fra.CountThis(await rng.NextNumber(dist));
rng.StopProducer();
var result = fra.NormalizeAndPlotEvents(TestContext.WriteLine);
Assert.That(result[0], Is.EqualTo(1.000000000f).Within(0.2f));
Assert.That(result[1], Is.EqualTo(0.678415772f).Within(0.09f));
Assert.That(result[2], Is.EqualTo(0.536595233f).Within(0.09f));
Assert.That(result[21], Is.EqualTo(0.147406264f).Within(0.02f));
Assert.That(result[22], Is.EqualTo(0.142654414f).Within(0.02f));
Assert.That(result[23], Is.EqualTo(0.138217760f).Within(0.02f));
Assert.That(result[50], Is.EqualTo(0.075769787f).Within(0.095f));
Assert.That(result[75], Is.EqualTo(0.053016799f).Within(0.05f));
Assert.That(result[85], Is.EqualTo(0.047144614f).Within(0.05f));
Assert.That(result[90], Is.EqualTo(0.044629109f).Within(0.05f));
Assert.That(result[97], Is.EqualTo(0.041484591f).Within(0.05f));
Assert.That(result[98], Is.EqualTo(0.041067125f).Within(0.05f));
Assert.That(result[99], Is.EqualTo(0.040656966f).Within(0.05f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestWeibullGeneratorWithRange01()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.WeibullK05La1();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0f), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestWeibullGeneratorWithRange02()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.WeibullK05La1();
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0f, 1.0f, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestWeibullGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.WeibullK05La1 { Random = rng }; // Test default parameters
var samples = new float[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0f), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0f), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Float.Distributions.WeibullK05La1();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

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FastRngTests/Float/FrequencyAnalysis.cs Normal file
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using System;
using System.Linq;
using System.Text;
namespace FastRngTests.Float
{
public sealed class FrequencyAnalysis
{
private readonly uint[] data;
public FrequencyAnalysis(int samples = 100)
{
this.data = new uint[samples];
}
public void CountThis(float value)
{
var bucket = (int)MathF.Floor(value * this.data.Length);
this.data[bucket]++;
}
public float[] GetNormalizedEvents()
{
var max = (float) this.data.Max();
var result = new float[this.data.Length];
for (var n = 0; n < this.data.Length; n++)
{
result[n] = this.data[n] / max;
}
return result;
}
private float[] Normalize()
{
var max = (float)this.data.Max();
var result = new float[this.data.Length];
for (var n = 0; n < this.data.Length; n++)
result[n] = this.data[n] / max;
return result;
}
public float[] NormalizeAndPlotEvents(Action<string> writer)
{
var result = this.Normalize();
FrequencyAnalysis.Plot(result, writer, "Event Distribution");
return result;
}
public void PlotOccurence(Action<string> writer)
{
var data = this.data.Select(n => n > 0f ? 1.0f : 0.0f).ToArray();
FrequencyAnalysis.Plot(data, writer, "Occurrence Distribution");
}
private static void Plot(float[] data, Action<string> writer, string name)
{
const int HEIGHT = 16;
var values = new float[data.Length];
for (var n = 0; n < data.Length; n++)
{
values[n] = data[n] * HEIGHT;
}
var sb = new StringBuilder();
for (var line = HEIGHT; line > 0; line--)
{
for (var column = 0; column < data.Length; column++)
sb.Append(values[column] >= line ? '█' : '░');
writer.Invoke(sb.ToString());
sb.Clear();
}
writer.Invoke(name);
writer.Invoke(string.Empty);
}
}
}

341
FastRngTests/Float/MathToolsTests.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using FastRng.Float;
using NUnit.Framework;
namespace FastRngTests.Float
{
[ExcludeFromCodeCoverage]
public class MathToolsTests
{
#region Gamma
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void GammaTest01()
{
Assert.That(MathTools.Gamma(-0.5f), Is.EqualTo(-3.544907701811087f).Within(1e-6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void GammaTest02()
{
Assert.That(MathTools.Gamma(0.1f), Is.EqualTo(9.51350975f).Within(1e-6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void GammaTest03()
{
Assert.That(MathTools.Gamma(0.5f), Is.EqualTo(1.772453850905517f).Within(1e-6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void GammaTest04()
{
Assert.That(MathTools.Gamma(1.0f), Is.EqualTo(1.0f).Within(1e-6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void GammaTest05()
{
Assert.That(MathTools.Gamma(1.5f), Is.EqualTo(0.8862269254527587f).Within(1e-6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void GammaTest06()
{
Assert.That(MathTools.Gamma(2.0f), Is.EqualTo(1.0f).Within(1e-6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void GammaTest07()
{
Assert.That(MathTools.Gamma(3.0f), Is.EqualTo(2.0f).Within(1e-6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void GammaTest08()
{
Assert.That(MathTools.Gamma(10.0f), Is.EqualTo(362_880.719f).Within(1e-6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void GammaTest09()
{
Assert.That(MathTools.Gamma(140.0f), Is.EqualTo(float.NaN));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void GammaTest10()
{
Assert.That(MathTools.Gamma(170.0f), Is.EqualTo(float.NaN));
}
#endregion
#region Factorial (integer)
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger01()
{
Assert.That(MathTools.Factorial(0), Is.EqualTo(1));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger02()
{
Assert.That(MathTools.Factorial(1), Is.EqualTo(1));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger03()
{
Assert.That(MathTools.Factorial(2), Is.EqualTo(2));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger04()
{
Assert.That(MathTools.Factorial(3), Is.EqualTo(6));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger05()
{
Assert.That(MathTools.Factorial(4), Is.EqualTo(24));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger06()
{
Assert.That(MathTools.Factorial(5), Is.EqualTo(120));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger07()
{
Assert.That(MathTools.Factorial(6), Is.EqualTo(720));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger08()
{
Assert.That(MathTools.Factorial(7), Is.EqualTo(5_040));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger09()
{
Assert.That(MathTools.Factorial(8), Is.EqualTo(40_320));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger10()
{
Assert.That(MathTools.Factorial(9), Is.EqualTo(362_880));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger11()
{
Assert.That(MathTools.Factorial(10), Is.EqualTo(3_628_800));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger12()
{
Assert.That(MathTools.Factorial(11), Is.EqualTo(39_916_800));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger13()
{
Assert.That(MathTools.Factorial(12), Is.EqualTo(479_001_600));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger14()
{
Assert.That(MathTools.Factorial(13), Is.EqualTo(6_227_020_800));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger15()
{
Assert.That(MathTools.Factorial(14), Is.EqualTo(87_178_291_200));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger16()
{
Assert.That(MathTools.Factorial(15), Is.EqualTo(1_307_674_368_000));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger17()
{
Assert.That(MathTools.Factorial(16), Is.EqualTo(20_922_789_888_000));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger18()
{
Assert.That(MathTools.Factorial(17), Is.EqualTo(355_687_428_096_000));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger19()
{
Assert.That(MathTools.Factorial(18), Is.EqualTo(6_402_373_705_728_000));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger20()
{
Assert.That(MathTools.Factorial(19), Is.EqualTo(121_645_100_408_832_000));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger21()
{
Assert.That(MathTools.Factorial(20), Is.EqualTo(2_432_902_008_176_640_000));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger22()
{
Assert.Throws<ArgumentOutOfRangeException>(() => MathTools.Factorial(21));
// Note: 21! is not possible in C# until we got 128 bit integers, since:
// ulong.max == 18_446_744_073_709_551_615 < 51_090_942_171_709_400_000
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger23()
{
Assert.Throws<ArgumentOutOfRangeException>(() => MathTools.Factorial(45_646));
// Note: 45_646! is not possible in C# since:
// ulong.max == 18_446_744_073_709_551_615
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger24()
{
Assert.Throws<ArgumentOutOfRangeException>(() => MathTools.Factorial(-1));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialInteger25()
{
Assert.Throws<ArgumentOutOfRangeException>(() => MathTools.Factorial(-6_565));
}
#endregion
#region Factorial (floating point)
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialFloatingPoint01()
{
Assert.That(MathTools.Factorial(0.5f), Is.EqualTo(0.886226925f).Within(1e6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialFloatingPoint02()
{
Assert.That(MathTools.Factorial(1.5f), Is.EqualTo(1.329340388f).Within(1e6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialFloatingPoint03()
{
Assert.That(MathTools.Factorial(-1.5f), Is.EqualTo(-1.329340388f).Within(1e6f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public void FactorialFloatingPoint04()
{
Assert.That(MathTools.Factorial(7.5f), Is.EqualTo(14_034.407293483f).Within(1e6f));
}
#endregion
}
}

288
FastRngTests/Float/MultiThreadedRngTests.cs Normal file
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using System;
using System.Diagnostics.CodeAnalysis;
using System.Threading;
using System.Threading.Tasks;
using FastRng.Float;
using FastRng.Float.Distributions;
using NUnit.Framework;
namespace FastRngTests.Float
{
[ExcludeFromCodeCoverage]
public class MultiThreadedRngTests
{
private readonly IRandom rng = new MultiThreadedRng();
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange01Uint()
{
var dist = new Uniform();
for (uint n = 0; n < 1_000_000; n++)
Assert.That(await rng.NextNumber(n, 100_000 + n, dist), Is.InRange(n, 100_000 + n));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange01Ulong()
{
var dist = new Uniform();
for (ulong n = 0; n < 1_000_000; n++)
Assert.That(await rng.NextNumber(n, 100_000 + n, dist), Is.InRange(n, 100_000 + n));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange01Float()
{
var dist = new Uniform();
for (var n = 0.0f; n < 1e6f; n++)
Assert.That(await rng.NextNumber(n, 100_000 + n, dist), Is.InRange(n, 100_000 + n));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange02Uint()
{
var dist = new Uniform();
Assert.That(await rng.NextNumber(5, 5, dist), Is.EqualTo(5));
Assert.That(await rng.NextNumber(0, 0, dist), Is.EqualTo(0));
Assert.That(await rng.NextNumber(3_000_000_000, 3_000_000_000, dist), Is.EqualTo(3_000_000_000));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange02Ulong()
{
var dist = new Uniform();
Assert.That(await rng.NextNumber(5UL, 5, dist), Is.EqualTo(5));
Assert.That(await rng.NextNumber(0UL, 0, dist), Is.EqualTo(0));
Assert.That(await rng.NextNumber(3_000_000_000UL, 3_000_000_000, dist), Is.EqualTo(3_000_000_000));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange02Float()
{
var dist = new Uniform();
Assert.That(await rng.NextNumber(5f, 5f, dist), Is.EqualTo(5));
Assert.That(await rng.NextNumber(0f, 0f, dist), Is.EqualTo(0));
Assert.That(await rng.NextNumber(3e9f, 3e9f, dist), Is.EqualTo(3e9f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange03Uint()
{
var dist = new Uniform();
Assert.That(await rng.NextNumber(5, 6, dist), Is.InRange(5, 6));
Assert.That(await rng.NextNumber(0, 1, dist), Is.InRange(0, 1));
Assert.That(await rng.NextNumber(3_000_000_000, 3_000_000_002, dist), Is.InRange(3_000_000_000, 3_000_000_002));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange03Ulong()
{
var dist = new Uniform();
Assert.That(await rng.NextNumber(5UL, 6, dist), Is.InRange(5, 6));
Assert.That(await rng.NextNumber(0UL, 1, dist), Is.InRange(0, 1));
Assert.That(await rng.NextNumber(3_000_000_000UL, 3_000_000_002, dist), Is.InRange(3_000_000_000, 3_000_000_002));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange03Float()
{
var dist = new Uniform();
Assert.That(await rng.NextNumber(5f, 6f, dist), Is.InRange(5f, 6f));
Assert.That(await rng.NextNumber(0f, 1f, dist), Is.InRange(0f, 1f));
Assert.That(await rng.NextNumber(3e9f, 3e9f+2f, dist), Is.InRange(3e9f, 3e9f+2f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange04Uint()
{
var dist = new Uniform();
Assert.That(await rng.NextNumber(10, 1, dist), Is.InRange(1, 10));
Assert.That(await rng.NextNumber(20, 1, dist), Is.InRange(1, 20));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange04Ulong()
{
var dist = new Uniform();
Assert.That(await rng.NextNumber(10UL, 1, dist), Is.InRange(1, 10));
Assert.That(await rng.NextNumber(20UL, 1, dist), Is.InRange(1, 20));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestRange04Float()
{
var dist = new Uniform();
Assert.That(await rng.NextNumber(10.0f, 1f, dist), Is.InRange(1f, 10f));
Assert.That(await rng.NextNumber(20.0f, 1f, dist), Is.InRange(1f, 20f));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestStoppingProducers01()
{
var rng = new MultiThreadedRng();
rng.StopProducer();
var masterToken = new CancellationTokenSource(TimeSpan.FromSeconds(16)).Token;
var wasCanceled = false;
while(true)
{
var tokenSource = new CancellationTokenSource(TimeSpan.FromSeconds(3));
await rng.GetUniform(tokenSource.Token);
if (tokenSource.IsCancellationRequested)
{
wasCanceled = true;
break;
}
if (masterToken.IsCancellationRequested)
{
break;
}
}
Assert.That(masterToken.IsCancellationRequested, Is.False, "Master token was used to stop test");
Assert.That(wasCanceled, Is.True, "The consumer was not canceled");
var tokenSource2 = new CancellationTokenSource(TimeSpan.FromSeconds(3));
await rng.NextNumber(new NormalS02M05(), tokenSource2.Token);
Assert.That(tokenSource2.IsCancellationRequested, Is.True);
tokenSource2 = new CancellationTokenSource(TimeSpan.FromSeconds(3));
await rng.NextNumber(-1f, 1f, new NormalS02M05(), tokenSource2.Token);
Assert.That(tokenSource2.IsCancellationRequested, Is.True);
tokenSource2 = new CancellationTokenSource(TimeSpan.FromSeconds(3));
await rng.NextNumber(0u, 6u, new NormalS02M05(), tokenSource2.Token);
Assert.That(tokenSource2.IsCancellationRequested, Is.True);
tokenSource2 = new CancellationTokenSource(TimeSpan.FromSeconds(3));
await rng.NextNumber(0ul, 6ul, new NormalS02M05(), tokenSource2.Token);
Assert.That(tokenSource2.IsCancellationRequested, Is.True);
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task OneSeed01()
{
var rng1 = new MultiThreadedRng(6);
var rng2 = new MultiThreadedRng(6);
var rng3 = new MultiThreadedRng(7);
var rng1Sample = new float[10];
for (var n = 0; n < rng1Sample.Length; n++)
rng1Sample[n] = await rng1.GetUniform();
var rng2Sample = new float[10];
for (var n = 0; n < rng2Sample.Length; n++)
rng2Sample[n] = await rng2.GetUniform();
var rng3Sample = new float[10];
for (var n = 0; n < rng3Sample.Length; n++)
rng3Sample[n] = await rng3.GetUniform();
rng1.StopProducer();
rng2.StopProducer();
rng3.StopProducer();
Assert.That(rng1Sample, Is.EquivalentTo(rng2Sample));
Assert.That(rng1Sample, Is.Not.EquivalentTo(rng3Sample));
Assert.That(rng2Sample, Is.Not.EquivalentTo(rng3Sample));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TwoSeeds01()
{
var rng1 = new MultiThreadedRng(3, 6);
var rng2 = new MultiThreadedRng(3, 6);
var rng3 = new MultiThreadedRng(3, 7);
var rng4 = new MultiThreadedRng(6, 3);
var rng1Sample = new float[10];
for (var n = 0; n < rng1Sample.Length; n++)
rng1Sample[n] = await rng1.GetUniform();
var rng2Sample = new float[10];
for (var n = 0; n < rng2Sample.Length; n++)
rng2Sample[n] = await rng2.GetUniform();
var rng3Sample = new float[10];
for (var n = 0; n < rng3Sample.Length; n++)
rng3Sample[n] = await rng3.GetUniform();
var rng4Sample = new float[10];
for (var n = 0; n < rng4Sample.Length; n++)
rng4Sample[n] = await rng4.GetUniform();
rng1.StopProducer();
rng2.StopProducer();
rng3.StopProducer();
rng4.StopProducer();
Assert.That(rng1Sample, Is.EquivalentTo(rng2Sample));
Assert.That(rng1Sample, Is.Not.EquivalentTo(rng3Sample));
Assert.That(rng1Sample, Is.Not.EquivalentTo(rng4Sample));
Assert.That(rng2Sample, Is.Not.EquivalentTo(rng3Sample));
Assert.That(rng2Sample, Is.Not.EquivalentTo(rng4Sample));
Assert.That(rng3Sample, Is.Not.EquivalentTo(rng4Sample));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoSeed01()
{
var rng1 = new MultiThreadedRng();
var rng2 = new MultiThreadedRng();
var rng3 = new MultiThreadedRng();
var rng1Sample = new float[10];
for (var n = 0; n < rng1Sample.Length; n++)
rng1Sample[n] = await rng1.GetUniform();
var rng2Sample = new float[10];
for (var n = 0; n < rng2Sample.Length; n++)
rng2Sample[n] = await rng2.GetUniform();
var rng3Sample = new float[10];
for (var n = 0; n < rng3Sample.Length; n++)
rng3Sample[n] = await rng3.GetUniform();
rng1.StopProducer();
rng2.StopProducer();
rng3.StopProducer();
Assert.That(rng1Sample, Is.Not.EquivalentTo(rng2Sample));
Assert.That(rng1Sample, Is.Not.EquivalentTo(rng3Sample));
Assert.That(rng2Sample, Is.Not.EquivalentTo(rng3Sample));
}
}
}

47
FastRngTests/Float/RunningStatistics.cs Normal file
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@ -0,0 +1,47 @@
using System;
namespace FastRngTests.Float
{
internal sealed class RunningStatistics
{
private float previousM;
private float previousS;
private float nextM;
private float nextS;
public RunningStatistics()
{
}
public int NumberRecords { get; private set; } = 0;
public void Clear() => this.NumberRecords = 0;
public void Push(float x)
{
this.NumberRecords++;
// See Knuth TAOCP vol 2, 3rd edition, page 232
if (this.NumberRecords == 1)
{
this.previousM = this.nextM = x;
this.previousS = 0.0f;
}
else
{
this.nextM = this.previousM + (x - this.previousM) / this.NumberRecords;
this.nextS = this.previousS + (x - this.previousM) * (x - this.nextM);
// set up for next iteration
this.previousM = this.nextM;
this.previousS = this.nextS;
}
}
public float Mean => this.NumberRecords > 0 ? this.nextM : 0.0f;
public float Variance => this.NumberRecords > 1 ? this.nextS / (this.NumberRecords - 1f) : 0.0f;
public float StandardDeviation => MathF.Sqrt(this.Variance);
}
}