06 October 2025 01:24:08 AM

TRIANGLE01_INTEGRALS_TEST():
  C version
  Test TRIANGLE01_INTEGRALS().

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    0.00e+00
   0   1        0.165406        0.166667    1.26e-03
   0   2       0.0816578       0.0833333    1.68e-03
   0   3        0.048254            0.05    1.75e-03
   0   4       0.0316683       0.0333333    1.67e-03
   1   0        0.166961        0.166667    2.94e-04
   1   1       0.0420597       0.0416667    3.93e-04
   1   2       0.0167899       0.0166667    1.23e-04
   1   3      0.00832158      0.00833333    1.18e-05
   1   4      0.00469451       0.0047619    6.74e-05
   2   0        0.083375       0.0833333    4.17e-05
   2   1       0.0169313       0.0166667    2.65e-04
   2   2      0.00566568      0.00555556    1.10e-04
   2   3      0.00241965      0.00238095    3.87e-05
   2   4      0.00120037      0.00119048    9.89e-06
   3   0       0.0498756            0.05    1.24e-04
   3   1      0.00848954      0.00833333    1.56e-04
   3   2      0.00244506      0.00238095    6.41e-05
   3   3     0.000916488     0.000892857    2.36e-05
   3   4     0.000405015     0.000396825    8.19e-06
   4   0       0.0331019       0.0333333    2.31e-04
   4   1      0.00485231       0.0047619    9.04e-05
   4   2       0.0012276      0.00119048    3.71e-05
   4   3      0.00041029     0.000396825    1.35e-05
   4   4     0.000163516      0.00015873    4.79e-06

TRIANGLE01_INTEGRALS_TEST():
  Normal end of execution.

06 October 2025 01:24:08 AM