private static void lorentz_sample_test()
//****************************************************************************80
//
// Purpose:
//
// LORENTZ_SAMPLE_TEST tests LORENTZ_SAMPLE.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 03 April 2016
//
// Author:
//
// John Burkardt
//
{
const int SAMPLE_NUM = 1000;
int i;
int seed = 123456789;
double[] x = new double [SAMPLE_NUM];
Console.WriteLine("");
Console.WriteLine("LORENTZ_SAMPLE_TEST");
Console.WriteLine(" LORENTZ_MEAN computes the Lorentz mean;");
Console.WriteLine(" LORENTZ_SAMPLE samples the Lorentz distribution;");
Console.WriteLine(" LORENTZ_VARIANCE computes the Lorentz variance.");
double mean = Lorentz.lorentz_mean();
double variance = Lorentz.lorentz_variance();
Console.WriteLine("");
Console.WriteLine(" PDF mean = " + mean + "");
Console.WriteLine(" PDF variance = " + variance + "");
for (i = 0; i < SAMPLE_NUM; i++)
{
x[i] = Lorentz.lorentz_sample(ref seed);
}
mean = typeMethods.r8vec_mean(SAMPLE_NUM, x);
variance = typeMethods.r8vec_variance(SAMPLE_NUM, x);
double xmax = typeMethods.r8vec_max(SAMPLE_NUM, x);
double xmin = typeMethods.r8vec_min(SAMPLE_NUM, x);
Console.WriteLine("");
Console.WriteLine(" Sample size = " + SAMPLE_NUM + "");
Console.WriteLine(" Sample mean = " + mean + "");
Console.WriteLine(" Sample variance = " + variance + "");
Console.WriteLine(" Sample maximum = " + xmax + "");
Console.WriteLine(" Sample minimum = " + xmin + "");
}
private static void lorentz_cdf_test()
//****************************************************************************80
//
// Purpose:
//
// LORENTZ_CDF_TEST tests LORENTZ_CDF.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 03 April 2016
//
// Author:
//
// John Burkardt
//
{
int i;
int seed = 123456789;
Console.WriteLine("");
Console.WriteLine("LORENTZ_CDF_TEST");
Console.WriteLine(" LORENTZ_CDF evaluates the Lorentz CDF;");
Console.WriteLine(" LORENTZ_CDF_INV inverts the Lorentz CDF.");
Console.WriteLine(" LORENTZ_PDF evaluates the Lorentz PDF;");
Console.WriteLine("");
Console.WriteLine(" X PDF CDF CDF_INV");
Console.WriteLine("");
for (i = 1; i <= 10; i++)
{
double x = Lorentz.lorentz_sample(ref seed);
double pdf = Lorentz.lorentz_pdf(x);
double cdf = Lorentz.lorentz_cdf(x);
double x2 = Lorentz.lorentz_cdf_inv(cdf);
Console.WriteLine(" "
+ x.ToString(CultureInfo.InvariantCulture).PadLeft(12) + " "
+ pdf.ToString(CultureInfo.InvariantCulture).PadLeft(12) + " "
+ cdf.ToString(CultureInfo.InvariantCulture).PadLeft(12) + " "
+ x2.ToString(CultureInfo.InvariantCulture).PadLeft(12) + "");
}
}
