public void CreateDiscreteUniformTest([Values(-10, 0, 10, 20)] int lower,
[Values(10, 4, 20, 20)] int upper) {
var uniform = new DiscreteUniform(lower, upper);
uniform.LowerBound.Should().Be(lower);
uniform.UpperBound.Should().Be(upper);
}
public void SamplesDistributionTest()
{
var source =
DiscreteUniform.Samples(MathTool.GetRandomFactory()(), 0, 10).AsParallel().Take(99999).Select(x => (double)x).ToList();
var histogram = new Histogram(source, 11, 0, 11);
DisplayDistribution("DiscreteUniform", histogram);
}
public void StaticSampleUniform()
{
DiscreteUniform.Sample(new Random(), 0, 10).Should().Be.GreaterThanOrEqualTo(0).And.Be.LessThanOrEqualTo(10);
DiscreteUniform.Samples(new Random(), 0, 10).Take(10).Where(x => x >= 0 && x <= 10).Count().Should().Be(10);
Assert.Throws <InvalidOperationException>(() => DiscreteUniform.Sample(new Random(), 10, 0));
Assert.Throws <InvalidOperationException>(() => DiscreteUniform.Samples(new Random(), 10, 0).First());
}
public void CreateDiscreteUniformTest([Values(-10, 0, 10, 20)] int lower,
[Values(10, 4, 20, 20)] int upper)
{
var uniform = new DiscreteUniform(lower, upper);
uniform.LowerBound.Should().Be(lower);
uniform.UpperBound.Should().Be(upper);
}
public void ProbabilityTest([Values(-10, -10, -10, -10, -10)] int lower,
[Values(10, 10, 10, -10, -10)] int upper,
[Values(-5, 1, 10, 0, -10)] int x,
[Values(1 / 21.0, 1 / 21.0, 1 / 21.0, 0.0, 1.0)] double p) {
var uniform = new DiscreteUniform(lower, upper);
uniform.Probability(x).Should().Be(p);
}
public void ProbabilityTest([Values(-10, -10, -10, -10, -10)] int lower,
[Values(10, 10, 10, -10, -10)] int upper,
[Values(-5, 1, 10, 0, -10)] int x,
[Values(1 / 21.0, 1 / 21.0, 1 / 21.0, 0.0, 1.0)] double p)
{
var uniform = new DiscreteUniform(lower, upper);
uniform.Probability(x).Should().Be(p);
}
public void CumulativeDistributionTest([Values(-10, -10, -10, -10, -10, -10)] int lower,
[Values(10, 10, 10, -10, -10, -10)] int upper,
[Values(-5, 1, 10, 0, -10, -11)] double x,
[Values(6.0 / 21.0, 12.0 / 21.0, 1.0, 1.0, 1.0, 0.0)] double cdf)
{
var b = new DiscreteUniform(lower, upper);
Assert.AreEqual(cdf, b.CumulativeDistribution(x));
}
public void SampleTest([Values(-10, 0, 10, 20)] int lower,
[Values(10, 4, 20, 20)] int upper) {
var uniform = new DiscreteUniform(lower, upper);
uniform.Sample().Should()
.Be.GreaterThanOrEqualTo(lower)
.And
.Be.LessThanOrEqualTo(upper);
}
public void SampleTest([Values(-10, 0, 10, 20)] int lower,
[Values(10, 4, 20, 20)] int upper)
{
var uniform = new DiscreteUniform(lower, upper);
uniform.Sample().Should()
.Be.GreaterThanOrEqualTo(lower)
.And
.Be.LessThanOrEqualTo(upper);
}
public void ValidateDistributionProperties([Range(-10, 10, 2)] int lower, [Range(100, 110, 2)] int upper) {
var uniform = new DiscreteUniform(lower, upper);
uniform.Entropy.Should().Be(Math.Log(upper - lower + 1.0));
uniform.Skewness.Should().Be(0);
uniform.Kurtosis.Should().Be(0);
uniform.Mode.Should().Be((lower + upper) / 2);
uniform.Median.Should().Be(uniform.Mode);
uniform.Minumum.Should().Be(lower);
uniform.Maximum.Should().Be(upper);
}
public void ValidateDistributionProperties([Range(-10, 10, 2)] int lower, [Range(100, 110, 2)] int upper)
{
var uniform = new DiscreteUniform(lower, upper);
uniform.Entropy.Should().Be(Math.Log(upper - lower + 1.0));
uniform.Skewness.Should().Be(0);
uniform.Kurtosis.Should().Be(0);
uniform.Mode.Should().Be((lower + upper) / 2);
uniform.Median.Should().Be(uniform.Mode);
uniform.Minumum.Should().Be(lower);
uniform.Maximum.Should().Be(upper);
}
public void SetUpperBoundWithInvalidParameters([Values(-1, -2)] int upper)
{
var uniform = new DiscreteUniform(0, 10);
Assert.Throws <InvalidOperationException>(() => uniform.UpperBound = upper);
}
public void SetLowerBoundWithInvalidParameters([Values(11, 20)] int lower)
{
var uniform = new DiscreteUniform(0, 10);
Assert.Throws <InvalidOperationException>(() => uniform.LowerBound = lower);
}
public void SetUpperBoundWithInvalidParameters([Values(-1, -2)] int upper) {
var uniform = new DiscreteUniform(0, 10);
Assert.Throws<InvalidOperationException>(() => uniform.UpperBound = upper);
}
public void SetLowerBoundWithInvalidParameters([Values(11, 20)] int lower) {
var uniform = new DiscreteUniform(0, 10);
Assert.Throws<InvalidOperationException>(() => uniform.LowerBound = lower);
}
public void CumulativeDistributionTest([Values(-10, -10, -10, -10, -10, -10)] int lower,
[Values(10, 10, 10, -10, -10, -10)] int upper,
[Values(-5, 1, 10, 0, -10, -11)] double x,
[Values(6.0 / 21.0, 12.0 / 21.0, 1.0, 1.0, 1.0, 0.0)] double cdf) {
var b = new DiscreteUniform(lower, upper);
Assert.AreEqual(cdf, b.CumulativeDistribution(x));
}