public void ConstructorTest()
{
// Create a Bernoulli function with sigmoid's alpha = 1
BernoulliFunction function = new BernoulliFunction();
// Computes the function output (sigmoid function)
double y = function.Function(x: 0.4); // 0.5986876
// Draws a sample from a Bernoulli distribution with
// mean given by the function output y (given as before)
double z = function.Generate(x: 0.4); // (random, 0 or 1)
// Here, z can be either 0 or 1. Since it follows a Bernoulli
// distribution with mean 0.59, it is expected to be 1 about
// 0.59 of the time.
// Now, please note that the above is completely equivalent
// to computing the line below (remember, 0.5986876 == y)
double w = function.Generate2(y: 0.5986876); // (random, 0 or 1)
// We can also compute the derivative of the sigmoid function
double d = function.Derivative(x: 0.4); // 0.240260
// Or compute the derivative given the functions' output y
double e = function.Derivative2(y: 0.5986876); // 0.240260
Assert.AreEqual(0.5986876, y, 1e-7);
Assert.AreEqual(0.2402607, d, 1e-7);
Assert.AreEqual(0.2402607, e, 1e-7);
}
