private static void hermite_polynomial_test04()
//****************************************************************************80
//
// Purpose:
//
// HERMITE_POLYNOMIAL_TEST04 tests H_POLYNOMIAL_ZEROS.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 19 October 2014
//
// Author:
//
// John Burkardt
//
{
int degree;
double[] hz;
string title;
double[] z;
Console.WriteLine("");
Console.WriteLine("HERMITE_POLYNOMIAL_TEST04:");
Console.WriteLine(" H_POLYNOMIAL_ZEROS computes the zeros of H(n,x)");
Console.WriteLine(" Check by calling H_POLYNOMIAL there.");
for (degree = 1; degree <= 5; degree++)
{
z = Hermite.h_polynomial_zeros(degree);
title = " Computed zeros for H(" + degree + ",z):";
typeMethods.r8vec_print(degree, z, title);
hz = Hermite.h_polynomial_value(degree, degree, z);
title = " Evaluate H(" + degree + ",z):";
typeMethods.r8vec_print(degree, hz, title, aIndex: +degree * degree);
}
}
private static void hermite_polynomial_test01()
//****************************************************************************80
//
// Purpose:
//
// HERMITE_POLYNOMIAL_TEST01 tests H_POLYNOMIAL_VALUE.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 25 February 2012
//
// Author:
//
// John Burkardt
//
{
int n_data;
double e;
double fx1 = 0;
double fx2;
double[] fx2_vec;
int n = 0;
double x = 0;
double[] x_vec = new double[1];
Console.WriteLine("");
Console.WriteLine("HERMITE_POLYNOMIAL_TEST01:");
Console.WriteLine(" H_POLYNOMIAL_VALUES stores values of");
Console.WriteLine(" the physicist's Hermite polynomials.");
Console.WriteLine(" H_POLYNOMIAL_VALUE evaluates the polynomial.");
Console.WriteLine("");
Console.WriteLine(" Tabulated Computed");
Console.WriteLine(" N X H(N,X) H(N,X) Error");
Console.WriteLine("");
n_data = 0;
for (;;)
{
Burkardt.Values.Hermite.h_polynomial_values(ref n_data, ref n, ref x, ref fx1);
if (n_data == 0)
{
break;
}
x_vec[0] = x;
fx2_vec = Hermite.h_polynomial_value(1, n, x_vec);
fx2 = fx2_vec[n];
e = fx1 - fx2;
Console.WriteLine(" " + n.ToString().PadLeft(4)
+ " " + x.ToString().PadLeft(12)
+ " " + fx1.ToString("0.################").PadLeft(24)
+ " " + fx2.ToString("0.################").PadLeft(24)
+ " " + e.ToString().PadLeft(8) + "");
}
}
