13 September 2021   8:59:46.679 AM
 
HYPERCUBE_INTEGRALS_TEST
  FORTRAN90 version
  Test the HYPERCUBE_INTEGRALS library.

TEST01
  Estimate monomial integrals using Monte Carlo
  over the interior of the unit hypercube in 3 dimensions.

  Number of sample points used is   4192

  We randomly choose the exponents.

  Ex  Ey  Ez     MC-Estimate      Exact           Error

   2   1   0    0.166008        0.166667        0.66E-03
   3   4   2    0.158114E-01    0.166667E-01    0.86E-03
   2   3   4    0.154539E-01    0.166667E-01    0.12E-02
   1   4   3    0.237585E-01    0.250000E-01    0.12E-02
   3   4   4    0.925203E-02    0.100000E-01    0.75E-03
   0   3   2    0.822877E-01    0.833333E-01    0.10E-02
   0   1   1    0.250305        0.250000        0.31E-03
   0   0   2    0.330344        0.333333        0.30E-02
   4   0   1    0.971770E-01    0.100000        0.28E-02
   2   0   3    0.786904E-01    0.833333E-01    0.46E-02
   4   0   1    0.971770E-01    0.100000        0.28E-02
   4   4   0    0.397547E-01    0.400000E-01    0.25E-03
   4   4   2    0.126600E-01    0.133333E-01    0.67E-03
   0   1   1    0.250305        0.250000        0.31E-03
   0   3   0    0.247978        0.250000        0.20E-02
   3   1   3    0.294457E-01    0.312500E-01    0.18E-02
   1   2   3    0.397474E-01    0.416667E-01    0.19E-02
   2   3   4    0.154539E-01    0.166667E-01    0.12E-02
   2   2   2    0.355019E-01    0.370370E-01    0.15E-02
   4   4   3    0.935727E-02    0.100000E-01    0.64E-03

TEST02
  Estimate monomial integrals using Monte Carlo
  over the interior of the unit hypercube in 6 dimensions.

  Number of sample points used is   4192

  We randomly choose the exponents.

  E1  E2  E3  E4  E5  E6     MC-Estimate      Exact           Error

   0   3   2   1   0   1    0.201284E-01    0.208333E-01    0.70E-03
   2   2   1   1   3   1    0.370284E-02    0.347222E-02    0.23E-03
   2   3   2   2   2   2    0.105831E-02    0.102881E-02    0.30E-04
   3   0   1   0   3   3    0.854993E-02    0.781250E-02    0.74E-03
   2   1   1   3   1   0    0.106091E-01    0.104167E-01    0.19E-03
   0   1   2   3   2   1    0.726335E-02    0.694444E-02    0.32E-03
   0   1   1   0   0   1    0.126006        0.125000        0.10E-02
   1   2   1   2   2   0    0.950199E-02    0.925926E-02    0.24E-03
   0   3   1   0   3   1    0.171500E-01    0.156250E-01    0.15E-02
   1   1   2   0   1   3    0.113803E-01    0.104167E-01    0.96E-03
   1   0   0   1   3   1    0.316971E-01    0.312500E-01    0.45E-03
   2   2   0   1   2   2    0.595467E-02    0.617284E-02    0.22E-03
   0   1   0   3   0   0    0.121351        0.125000        0.36E-02
   2   1   2   3   1   1    0.355616E-02    0.347222E-02    0.84E-04
   0   3   3   3   2   0    0.537412E-02    0.520833E-02    0.17E-03
   0   1   2   3   0   2    0.135650E-01    0.138889E-01    0.32E-03
   1   1   3   0   1   0    0.342508E-01    0.312500E-01    0.30E-02
   1   1   3   0   3   2    0.591625E-02    0.520833E-02    0.71E-03
   0   0   0   2   3   3    0.208969E-01    0.208333E-01    0.64E-04
   0   3   3   1   0   1    0.151965E-01    0.156250E-01    0.43E-03
 
HYPERCUBE_INTEGRALS_TEST
  Normal end of execution.
 
13 September 2021   8:59:46.682 AM