7 October   2025   1:32:21.143 PM      
 
triangle01_integrals_test():
  Fortran77 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 restrict this test to randomly chosen even exponents.

  Ex  Ey     MC-Estimate      Exact           Error

   0   0    0.500000        0.500000        0.00E+00
   0   1    0.165406        0.166667        0.13E-02
   0   2    0.816578E-01    0.833333E-01    0.17E-02
   0   3    0.482540E-01    0.500000E-01    0.17E-02
   0   4    0.316683E-01    0.333333E-01    0.17E-02
   1   0    0.166961        0.166667        0.29E-03
   1   1    0.420597E-01    0.416667E-01    0.39E-03
   1   2    0.167899E-01    0.166667E-01    0.12E-03
   1   3    0.832158E-02    0.833333E-02    0.12E-04
   1   4    0.469451E-02    0.476190E-02    0.67E-04
   2   0    0.833750E-01    0.833333E-01    0.42E-04
   2   1    0.169313E-01    0.166667E-01    0.26E-03
   2   2    0.566568E-02    0.555556E-02    0.11E-03
   2   3    0.241965E-02    0.238095E-02    0.39E-04
   2   4    0.120037E-02    0.119048E-02    0.99E-05
   3   0    0.498756E-01    0.500000E-01    0.12E-03
   3   1    0.848954E-02    0.833333E-02    0.16E-03
   3   2    0.244506E-02    0.238095E-02    0.64E-04
   3   3    0.916488E-03    0.892857E-03    0.24E-04
   3   4    0.405015E-03    0.396825E-03    0.82E-05
   4   0    0.331019E-01    0.333333E-01    0.23E-03
   4   1    0.485231E-02    0.476190E-02    0.90E-04
   4   2    0.122760E-02    0.119048E-02    0.37E-04
   4   3    0.410290E-03    0.396825E-03    0.13E-04
   4   4    0.163516E-03    0.158730E-03    0.48E-05
 
triangle01_integrals_test():
  Normal end of execution.
 
 7 October   2025   1:32:21.144 PM