public void DocumentationTest1()
{
var u2 = new UQuadraticDistribution(a: 0.42, b: 4.2);
double mean = u2.Mean; // 2.3100000000000001
double median = u2.Median; // 2.3100000000000001
double mode = u2.Mode; // 0.8099060089153145
double var = u2.Variance; // 2.1432600000000002
double cdf = u2.DistributionFunction(x: 1.4); // 0.44419041812731797
double pdf = u2.ProbabilityDensityFunction(x: 1.4); // 0.18398763254730335
double lpdf = u2.LogProbabilityDensityFunction(x: 1.4); // -1.6928867380489712
double ccdf = u2.ComplementaryDistributionFunction(x: 1.4); // 0.55580958187268203
double icdf = u2.InverseDistributionFunction(p: cdf); // 1.3999998213768274
double hf = u2.HazardFunction(x: 1.4); // 0.3310263776442936
double chf = u2.CumulativeHazardFunction(x: 1.4); // 0.58732952203701494
string str = u2.ToString(CultureInfo.InvariantCulture); // "UQuadratic(x; a = 0.42, b = 4.2)"
Assert.AreEqual(2.3100000000000001, mean);
Assert.AreEqual(2.3100000000000001, median);
Assert.AreEqual(0.8099060089153145, mode);
Assert.AreEqual(2.1432600000000002, var);
Assert.AreEqual(0.58732952203701494, chf);
Assert.AreEqual(0.44419041812731797, cdf);
Assert.AreEqual(0.18398763254730335, pdf);
Assert.AreEqual(-1.6928867380489712, lpdf);
Assert.AreEqual(0.3310263776442936, hf);
Assert.AreEqual(0.55580958187268203, ccdf);
Assert.AreEqual(1.3999998213768274, icdf);
Assert.AreEqual("U-Quadratic(x; a = 0.42, b = 4.2)", str);
var range1 = u2.GetRange(0.95);
var range2 = u2.GetRange(0.99);
var range3 = u2.GetRange(0.01);
Assert.AreEqual(0.48522504056375509, range1.Min);
Assert.AreEqual(4.1347749594362453, range1.Max);
Assert.AreEqual(0.43268494596201756, range2.Min);
Assert.AreEqual(4.1873150540379829, range2.Max);
Assert.AreEqual(0.43268494596201751, range3.Min);
Assert.AreEqual(4.1873150540379829, range3.Max);
}