18 April 2015   3:08:31.189 PM
 
TRIANGLE01_INTEGRALS_PRB
  FORTRAN90 version
  Test the TRIANGLE_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    0.500000        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_PRB
  Normal end of execution.
 
18 April 2015   3:08:31.192 PM