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) + ""); } }