public static void von_mises_cdf_values_test()
//****************************************************************************80
//
// Purpose:
//
// VON_MISES_CDF_VALUES_TEST tests VON_MISES_CDF_VALUES.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 12 June 2007
//
// Author:
//
// John Burkardt
//
{
double a = 0;
double b = 0;
double fx = 0;
double x = 0;
Console.WriteLine("");
Console.WriteLine("VON_MISES_CDF_VALUES_TEST:");
Console.WriteLine(" VON_MISES_CDF_VALUES stores values of");
Console.WriteLine(" the von Mises CDF.");
Console.WriteLine("");
Console.WriteLine(" A B X CDF(X)");
Console.WriteLine("");
int n_data = 0;
for (;;)
{
VonMises.von_mises_cdf_values(ref n_data, ref a, ref b, ref x, ref fx);
if (n_data == 0)
{
break;
}
Console.WriteLine(" "
+ a.ToString(CultureInfo.InvariantCulture).PadLeft(12) + " "
+ b.ToString(CultureInfo.InvariantCulture).PadLeft(12) + " "
+ x.ToString(CultureInfo.InvariantCulture).PadLeft(12) + " "
+ fx.ToString("0.################").PadLeft(24) + "");
}
}
private static void von_mises_cdf_test()
//****************************************************************************80
//
// Purpose:
//
// VON_MISES_CDF_TEST tests VON_MISES_CDF.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 04 April 2016
//
// Author:
//
// John Burkardt
//
{
int i;
int seed = 123456789;
Console.WriteLine("");
Console.WriteLine("VON_MISES_CDF_TEST");
Console.WriteLine(" VON_MISES_CDF evaluates the Von Mises CDF;");
Console.WriteLine(" VON_MISES_CDF_INV inverts the Von Mises CDF.");
Console.WriteLine(" VON_MISES_PDF evaluates the Von Mises PDF;");
const double a = 1.0;
const double b = 2.0;
Console.WriteLine("");
Console.WriteLine(" PDF parameter A = " + a + "");
Console.WriteLine(" PDF parameter B = " + b + "");
if (!VonMises.von_mises_check(a, b))
{
Console.WriteLine("");
Console.WriteLine("VON_MISES_CDF_TEST - Fatal error!");
Console.WriteLine(" The parameters are not legal.");
return;
}
Console.WriteLine("");
Console.WriteLine(" X PDF CDF CDF_INV");
Console.WriteLine("");
for (i = 1; i <= 10; i++)
{
double x = VonMises.von_mises_sample(a, b, ref seed);
double pdf = VonMises.von_mises_pdf(x, a, b);
double cdf = VonMises.von_mises_cdf(x, a, b);
double x2 = VonMises.von_mises_cdf_inv(cdf, a, b);
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) + "");
}
}
private static void von_mises_sample_test()
//****************************************************************************80
//
// Purpose:
//
// VON_MISES_SAMPLE_TEST tests VON_MISES_SAMPLE.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 04 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("VON_MISES_SAMPLE_TEST");
Console.WriteLine(" VON_MISES_MEAN computes the Von Mises mean;");
Console.WriteLine(" VON_MISES_SAMPLE samples the Von Mises distribution;");
Console.WriteLine(" VON_MISES_CIRCULAR_VARIANCE computes the Von Mises circular variance;");
const double a = 1.0;
const double b = 2.0;
Console.WriteLine("");
Console.WriteLine(" PDF parameter A = " + a + "");
Console.WriteLine(" PDF parameter B = " + b + "");
if (!VonMises.von_mises_check(a, b))
{
Console.WriteLine("");
Console.WriteLine("VON_MISES_SAMPLE_TEST - Fatal error!");
Console.WriteLine(" The parameters are not legal.");
return;
}
double mean = VonMises.von_mises_mean(a, b);
double variance = VonMises.von_mises_circular_variance(a, b);
Console.WriteLine("");
Console.WriteLine(" PDF mean = " + mean + "");
Console.WriteLine(" PDF circular variance = " + variance + "");
for (i = 0; i < SAMPLE_NUM; i++)
{
x[i] = VonMises.von_mises_sample(a, b, ref seed);
}
mean = typeMethods.r8vec_mean(SAMPLE_NUM, x);
variance = typeMethods.r8vec_circular_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 circular variance = " + variance + "");
Console.WriteLine(" Sample maximum = " + xmax + "");
Console.WriteLine(" Sample minimum = " + xmin + "");
}
