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
using var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.CauchyLorentzX0(rng);
var fqa = new FrequencyAnalysis();
for (var n = 0; n < 100_000; n++)
{
fqa.CountThis(await dist.NextNumber());
}
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));
}
public async Task TestCauchyGeneratorWithRange01()
{
using var rng = new MultiThreadedRng();
var dist = new FastRng.Float.Distributions.CauchyLorentzX0(rng);
var samples = new float[1_000];
