Implemented inverse exponential distributions

This commit is contained in:
Thorsten Sommer 2020-10-31 14:27:45 +01:00
parent 857c16462e
commit 5b184ad7e6
4 changed files with 278 additions and 0 deletions

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using System;
using System.Threading;
using System.Threading.Tasks;
namespace FastRng.Double.Distributions
{
public sealed class InverseExponentialLa10 : IDistribution
{
private const double LAMBDA = 10.0;
private const double CONSTANT = 4.539992976248453e-06;
private ShapeFitter fitter;
private IRandom random;
public IRandom Random
{
get => this.random;
set
{
this.random = value;
this.fitter = new ShapeFitter(InverseExponentialLa10.ShapeFunction, this.random, 100);
}
}
private static double ShapeFunction(double x) => CONSTANT * LAMBDA * Math.Exp(LAMBDA * x);
public async ValueTask<double> GetDistributedValue(CancellationToken token = default)
{
if (this.Random == null)
return double.NaN;
return await this.fitter.NextNumber(token);
}
}
}

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using System;
using System.Threading;
using System.Threading.Tasks;
namespace FastRng.Double.Distributions
{
public sealed class InverseExponentialLa5 : IDistribution
{
private const double LAMBDA = 5.0;
private const double CONSTANT = 0.001347589399817;
private ShapeFitter fitter;
private IRandom random;
public IRandom Random
{
get => this.random;
set
{
this.random = value;
this.fitter = new ShapeFitter(InverseExponentialLa5.ShapeFunction, this.random, 100);
}
}
private static double ShapeFunction(double x) => CONSTANT * LAMBDA * Math.Exp(LAMBDA * x);
public async ValueTask<double> GetDistributedValue(CancellationToken token = default)
{
if (this.Random == null)
return double.NaN;
return await this.fitter.NextNumber(token);
}
}
}

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using System;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Threading.Tasks;
using FastRng.Double;
using NUnit.Framework;
namespace FastRngTests.Double.Distributions
{
[ExcludeFromCodeCoverage]
public class InverseExponentialLa10
{
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialDistribution01()
{
var dist = new FastRng.Double.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(0.0000501746820562).Within(0.0003));
Assert.That(result[1], Is.EqualTo(0.0000554515994322).Within(0.0003));
Assert.That(result[2], Is.EqualTo(0.0000612834950532).Within(0.0003));
Assert.That(result[21], Is.EqualTo(0.00040973497898).Within(0.00045));
Assert.That(result[22], Is.EqualTo(0.000452827182887).Within(0.00050));
Assert.That(result[23], Is.EqualTo(0.000500451433441).Within(0.00051));
Assert.That(result[50], Is.EqualTo(0.007446583070924).Within(0.002));
Assert.That(result[75], Is.EqualTo(0.090717953289412).Within(0.02));
Assert.That(result[85], Is.EqualTo(0.246596963941606).Within(0.05));
Assert.That(result[90], Is.EqualTo(0.406569659740598).Within(0.08));
Assert.That(result[97], Is.EqualTo(0.81873075307798).Within(0.08));
Assert.That(result[98], Is.EqualTo(0.904837418035957).Within(0.08));
Assert.That(result[99], Is.EqualTo(0.999999999999999).Within(0.08));
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange01()
{
var dist = new FastRng.Double.Distributions.InverseExponentialLa10();
var rng = new MultiThreadedRng();
var samples = new double[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(-1.0, 1.0, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(-1.0), "Min out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0), "Max out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange02()
{
var dist = new FastRng.Double.Distributions.InverseExponentialLa10();
var rng = new MultiThreadedRng();
var samples = new double[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await rng.NextNumber(0.0, 1.0, dist);
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0), "Max is out of range");
}
[Test] [Category(TestCategories.COVER)] [Category(TestCategories.NORMAL)]
public async Task TestExponentialGeneratorWithRange03()
{
var rng = new MultiThreadedRng();
var dist = new FastRng.Double.Distributions.InverseExponentialLa10 { Random = rng }; // Test default parameters
var samples = new double[1_000];
for (var n = 0; n < samples.Length; n++)
samples[n] = await dist.GetDistributedValue();
rng.StopProducer();
Assert.That(samples.Min(), Is.GreaterThanOrEqualTo(0.0), "Min is out of range");
Assert.That(samples.Max(), Is.LessThanOrEqualTo(1.0), "Max is out of range");
}
[Test]
[Category(TestCategories.COVER)]
[Category(TestCategories.NORMAL)]
public async Task NoRandomNumberGenerator01()
{
var dist = new FastRng.Double.Distributions.InverseExponentialLa10();
Assert.DoesNotThrowAsync(async () => await dist.GetDistributedValue());
Assert.That(await dist.GetDistributedValue(), Is.NaN);
}
}
}

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