private static void square01_monomial_integral_test()
//****************************************************************************80
//
// Purpose:
//
// SQUARE01_MONOMIAL_INTEGRAL_TEST tests SQUARE01_MONOMIAL_INTEGRAL.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 21 February 2018
//
// Author:
//
// John Burkardt
//
{
const int m = 2;
const int n = 4192;
int test;
const int test_num = 20;
Console.WriteLine("");
Console.WriteLine("SQUARE01_MONOMIAL_INTEGRAL_TEST");
Console.WriteLine(" SQUARE01_MONOMIAL_INTEGRAL returns the exact integral");
Console.WriteLine(" of a monomial over the interior of the unit square in 2D.");
Console.WriteLine(" Compare exact and estimated values.");
//
// Get sample points.
//
int seed = 123456789;
double[] x = Integrals.square01_sample(n, ref seed);
Console.WriteLine("");
Console.WriteLine(" Number of sample points is " + n + "");
//
// Randomly choose exponents.
//
Console.WriteLine("");
Console.WriteLine(" Ex Ey MC-Estimate Exact Error");
Console.WriteLine("");
for (test = 1; test <= test_num; test++)
{
int[] e = UniformRNG.i4vec_uniform_ab_new(m, 0, 7, ref seed);
double[] value = Monomial.monomial_value(m, n, e, x);
double result = Integrals.square01_area() * typeMethods.r8vec_sum(n, value) / n;
double exact = Integrals.square01_monomial_integral(e);
double error = Math.Abs(result - exact);
Console.WriteLine(" " + e[0].ToString().PadLeft(2)
+ " " + e[1].ToString().PadLeft(2)
+ " " + result.ToString(CultureInfo.InvariantCulture).PadLeft(14)
+ " " + exact.ToString(CultureInfo.InvariantCulture).PadLeft(14)
+ " " + error.ToString(CultureInfo.InvariantCulture).PadLeft(14) + "");
}
}
