private static void test01()
//****************************************************************************80
//
// Purpose:
//
// TEST01 compares exact and estimated monomial integrals.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 18 January 2014
//
// Author:
//
// John Burkardt
//
{
const int n = 4192;
int test;
const int test_num = 11;
Console.WriteLine("");
Console.WriteLine("TEST01");
Console.WriteLine(" Compare exact and estimated integrals ");
Console.WriteLine(" over the length of the unit line in 1D.");
//
// Get sample points.
//
int seed = 123456789;
double[] x = Integrals.line01_sample(n, ref seed);
Console.WriteLine("");
Console.WriteLine(" Number of sample points used is " + n + "");
Console.WriteLine("");
Console.WriteLine(" E MC-Estimate Exact Error");
Console.WriteLine("");
for (test = 1; test <= test_num; test++)
{
int e = test - 1;
double[] value = Monomial.monomial_value_1d(n, e, x);
double result = Integrals.line01_length() * typeMethods.r8vec_sum(n, value) / n;
double exact = Integrals.line01_monomial_integral(e);
double error = Math.Abs(result - exact);
Console.WriteLine(" " + e.ToString(CultureInfo.InvariantCulture).PadLeft(2)
+ " " + result.ToString(CultureInfo.InvariantCulture).PadLeft(14)
+ " " + exact.ToString(CultureInfo.InvariantCulture).PadLeft(14)
+ " " + error.ToString(CultureInfo.InvariantCulture).PadLeft(10) + "");
}
}
