15 September 2021   3:23:34.583 PM
 
SQUARE_INTEGRALS_TEST
  FORTRAN90 version
  Test the SQUARE_INTEGRALS library.
 
SQUARE01_MONOMIAL_INTEGRAL_TEST
  SQUARE01_MONOMIAL_INTEGRAL returns the exact integral
  of a monomial over the interior of the unit square in 2D.

  Number of sample points used is   4192

  Ex  Ey     MC-Estimate           Exact      Error

   5   3    0.407015E-01    0.416667E-01    0.97E-03
   0   3    0.247720        0.250000        0.23E-02
   3   3    0.617648E-01    0.625000E-01    0.74E-03
   7   2    0.409558E-01    0.416667E-01    0.71E-03
   3   6    0.347451E-01    0.357143E-01    0.97E-03
   3   4    0.490791E-01    0.500000E-01    0.92E-03
   5   3    0.407015E-01    0.416667E-01    0.97E-03
   4   0    0.205635        0.200000        0.56E-02
   2   7    0.408387E-01    0.416667E-01    0.83E-03
   6   7    0.167397E-01    0.178571E-01    0.11E-02
   1   3    0.124093        0.125000        0.91E-03
   2   4    0.658380E-01    0.666667E-01    0.83E-03
   4   1    0.101140        0.100000        0.11E-02
   0   3    0.247720        0.250000        0.23E-02
   7   6    0.166817E-01    0.178571E-01    0.12E-02
   2   1    0.167784        0.166667        0.11E-02
   7   1    0.630248E-01    0.625000E-01    0.52E-03
   2   5    0.546923E-01    0.555556E-01    0.86E-03
   6   1    0.721531E-01    0.714286E-01    0.72E-03
   5   0    0.172018        0.166667        0.54E-02
 
SQUARESYM_MONOMIAL_INTEGRAL_TEST
  SQUARESYM_MONOMIAL_INTEGRAL returns the exact integral
  of a monomial over the interior of the 
  symmetric unit square in 2D.

  Number of sample points used is   4192

  Ex  Ey     MC-Estimate           Exact      Error

   5   3   -0.604423E-03     0.00000        0.60E-03
   0   3   -0.170693E-02     0.00000        0.17E-02
   3   3   -0.135924E-02     0.00000        0.14E-02
   7   2   -0.717992E-02     0.00000        0.72E-02
   3   6   -0.633502E-02     0.00000        0.63E-02
   3   4   -0.632412E-02     0.00000        0.63E-02
   5   3   -0.604423E-03     0.00000        0.60E-03
   4   0    0.830138        0.800000        0.30E-01
   2   7   -0.639541E-02     0.00000        0.64E-02
   6   7   -0.597580E-02     0.00000        0.60E-02
   1   3   -0.682644E-03     0.00000        0.68E-03
   2   4    0.265918        0.266667        0.75E-03
   4   1   -0.244943E-01     0.00000        0.24E-01
   0   3   -0.170693E-02     0.00000        0.17E-02
   7   6   -0.531321E-02     0.00000        0.53E-02
   2   1   -0.253420E-01     0.00000        0.25E-01
   7   1   -0.227777E-02     0.00000        0.23E-02
   2   5   -0.856214E-02     0.00000        0.86E-02
   6   1   -0.222970E-01     0.00000        0.22E-01
   5   0   -0.949718E-03     0.00000        0.95E-03
 
SQUARE_INTEGRALS_TEST
  Normal end of execution.
 
15 September 2021   3:23:34.584 PM