03 May 2020 10:21:00 AM

TRIANGLE01_INTEGRALS_TEST
  C++ version
  Test the TRIANGLE01_INTEGRALS library.

TEST01
  Estimate monomial integrals using Monte Carlo
  over the interior of the unit triangle in 2D.

  Number of sample points used is 4192

  We will restrict this test to randomly chosen even exponents.

  Ex  Ey     MC-Estimate      Exact           Error

   0   0             0.5             0.5           0
   0   1        0.165406        0.166667  0.00126034
   0   2       0.0816578       0.0833333  0.00167555
   0   3        0.048254            0.05  0.00174603
   0   4       0.0316683       0.0333333  0.00166504
   1   0        0.166961        0.166667  0.000294241
   1   1       0.0420597       0.0416667  0.000393065
   1   2       0.0167899       0.0166667  0.000123197
   1   3      0.00832158      0.00833333  1.17504e-05
   1   4      0.00469451       0.0047619  6.73965e-05
   2   0        0.083375       0.0833333  4.17001e-05
   2   1       0.0169313       0.0166667  0.000264605
   2   2      0.00566568      0.00555556  0.000110127
   2   3      0.00241965      0.00238095  3.87006e-05
   2   4      0.00120037      0.00119048  9.89054e-06
   3   0       0.0498756            0.05  0.000124448
   3   1      0.00848954      0.00833333  0.000156208
   3   2      0.00244506      0.00238095  6.41109e-05
   3   3     0.000916488     0.000892857  2.36306e-05
   3   4     0.000405015     0.000396825  8.19005e-06
   4   0       0.0331019       0.0333333  0.000231401
   4   1      0.00485231       0.0047619  9.0405e-05
   4   2       0.0012276      0.00119048  3.71219e-05
   4   3      0.00041029     0.000396825  1.34646e-05
   4   4     0.000163516      0.00015873  4.78604e-06

TRIANGLE01_INTEGRALS_TEST
  Normal end of execution.

03 May 2020 10:21:00 AM