public static void p_polynomial_value_test()
//****************************************************************************80
//
// Purpose:
//
// P_POLYNOMIAL_VALUE_TEST tests P_POLYNOMIAL_VALUE.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 14 March 2012
//
// Author:
//
// John Burkardt
//
{
double fx1 = 0;
int n = 0;
double x = 0;
double[] x_vec = new double[1];
Console.WriteLine("");
Console.WriteLine("P_POLYNOMIAL_VALUE_TEST:");
Console.WriteLine(" P_POLYNOMIAL_VALUE evaluates the Legendre polynomial P(n,x).");
Console.WriteLine("");
Console.WriteLine(" Tabulated Computed");
Console.WriteLine(" N X P(N,X) P(N,X) Error");
Console.WriteLine("");
int n_data = 0;
for (;;)
{
Burkardt.Values.Legendre.p_polynomial_values(ref n_data, ref n, ref x, ref fx1);
if (n_data == 0)
{
break;
}
x_vec[0] = x;
double[] fx2_vec = Legendre.p_polynomial_value(1, n, x_vec);
double fx2 = fx2_vec[n];
double e = fx1 - fx2;
Console.WriteLine(" " + n.ToString(CultureInfo.InvariantCulture).PadLeft(4)
+ " " + x.ToString(CultureInfo.InvariantCulture).PadLeft(12)
+ " " + fx1.ToString("0.################").PadLeft(24)
+ " " + fx2.ToString("0.################").PadLeft(24)
+ " " + e.ToString(CultureInfo.InvariantCulture).PadLeft(8) + "");
}
}
public static void p_polynomial_zeros_test()
//****************************************************************************80
//
// Purpose:
//
// P_POLYNOMIAL_ZEROS_TEST tests P_POLYNOMIAL_ZEROS.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 14 March 2012
//
// Author:
//
// John Burkardt
//
{
int degree;
Console.WriteLine("");
Console.WriteLine("P_POLYNOMIAL_ZEROS_TEST:");
Console.WriteLine(" P_POLYNOMIAL_ZEROS computes the zeros of P(n,x)");
Console.WriteLine(" Check by calling P_POLYNOMIAL_VALUE there.");
for (degree = 1; degree <= 5; degree++)
{
double[] z = Legendre.p_polynomial_zeros(degree);
string title = " Computed zeros for P(" + degree + ",z):";
typeMethods.r8vec_print(degree, z, title);
double[] hz = Legendre.p_polynomial_value(degree, degree, z);
title = " Evaluate P(" + degree + ",z):";
typeMethods.r8vec_print(degree, hz, title, +degree * degree);
}
}
