03-Nov-2022 08:37:51

triangle01_integrals_test():
  MATLAB/Octave version 4.2.2
  Test triangle01_integrals().

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 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        0.169822        0.166667    3.16e-03
   0   2       0.0862967       0.0833333    2.96e-03
   0   3       0.0524912            0.05    2.49e-03
   0   4       0.0353856       0.0333333    2.05e-03
   1   0        0.166605        0.166667    6.17e-05
   1   1        0.042631       0.0416667    9.64e-04
   1   2       0.0172576       0.0166667    5.91e-04
   1   3      0.00872153      0.00833333    3.88e-04
   1   4      0.00503575       0.0047619    2.74e-04
   2   0       0.0827728       0.0833333    5.61e-04
   2   1       0.0171105       0.0166667    4.44e-04
   2   2      0.00576232      0.00555556    2.07e-04
   2   3      0.00248915      0.00238095    1.08e-04
   2   4      0.00125559      0.00119048    6.51e-05
   3   0       0.0493194            0.05    6.81e-04
   3   1       0.0085906      0.00833333    2.57e-04
   3   2      0.00247842      0.00238095    9.75e-05
   3   3     0.000933767     0.000892857    4.09e-05
   3   4     0.000417825     0.000396825    2.10e-05
   4   0       0.0326278       0.0333333    7.05e-04
   4   1       0.0049283       0.0047619    1.66e-04
   4   2      0.00124568      0.00119048    5.52e-05
   4   3     0.000415783     0.000396825    1.90e-05
   4   4     0.000166829      0.00015873    8.10e-06

triangle01_integrals_test()
  Normal end of execution.

03-Nov-2022 08:37:51