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.Double.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(0.976990739772031).Within(0.06));
Assert.That(result[1], Is.EqualTo(0.948808314586299).Within(0.06));
Assert.That(result[2], Is.EqualTo(0.905284997403441).Within(0.06));
Assert.That(result[21], Is.EqualTo(0.168965864241396).Within(0.04));
Assert.That(result[22], Is.EqualTo(0.156877686354491).Within(0.04));
Assert.That(result[23], Is.EqualTo(0.145970509936354).Within(0.04));
Assert.That(result[50], Is.EqualTo(0.036533159835978).Within(0.01));
Assert.That(result[75], Is.EqualTo(0.016793067514802).Within(0.01));
Assert.That(result[85], Is.EqualTo(0.01316382933791).Within(0.005));
Assert.That(result[90], Is.EqualTo(0.011773781734516).Within(0.005));
Assert.That(result[97], Is.EqualTo(0.010168596941156).Within(0.005));
Assert.That(result[98], Is.EqualTo(0.009966272570142).Within(0.005));
Assert.That(result[99], Is.EqualTo(0.00976990739772).Within(0.005));
}
public async Task TestCauchyGeneratorWithRange01()
{
using var rng = new MultiThreadedRng();
var dist = new FastRng.Double.Distributions.CauchyLorentzX0(rng);
var samples = new double[1_000];