Tue Oct 19 11:53:24 2021

hypercube_integrals_test
  Python version: 3.6.9
  Test hypercube_integrals().

hypercube01_MONOMIAL_INTEGRAL_test
  Python version: 3.6.9
  hypercube01_MONOMIAL_INTEGRAL returns the integral of a monomial
  over the interior of the unit hypercube in 3D.
  Compare with a Monte Carlo estimate.

  Using M = 3

  Number of sample points used is 4192

  Ex  Ey  Ez     MC-Estimate           Exact      Error

   1
   4
   1
       0.0501677            0.05     0.00017
   4
   2
   0
       0.0657028       0.0666667     0.00096
   3
   0
   0
         0.24351            0.25      0.0065
   2
   4
   3
       0.0160802       0.0166667     0.00059
   4
   4
   3
      0.00924159            0.01     0.00076
   1
   3
   1
       0.0626438          0.0625     0.00014
   3
   2
   1
       0.0408604       0.0416667     0.00081
   0
   4
   3
       0.0502711            0.05     0.00027
   2
   3
   3
       0.0202652       0.0208333     0.00057
   4
   3
   3
       0.0117454          0.0125     0.00075
   0
   3
   2
         0.08379       0.0833333     0.00046
   1
   1
   0
        0.251595            0.25      0.0016
   0
   3
   0
        0.259169            0.25      0.0092
   3
   0
   1
        0.120338           0.125      0.0047
   0
   1
   4
       0.0984818             0.1      0.0015
   3
   0
   0
         0.24351            0.25      0.0065
   3
   2
   1
       0.0408604       0.0416667     0.00081
   0
   0
   0
               1               1           0
   1
   0
   1
        0.241533            0.25      0.0085
   2
   4
   1
       0.0328975       0.0333333     0.00044

hypercube01_MONOMIAL_INTEGRAL_test:
  Normal end of execution.

hypercube01_sample_test
  Python version: 3.6.9
  HYPERUBE01_sample samples the unit hypercube
  in M dimensions.

  Sample points in the unit hypercube.

  Row: 
      0       
      1       
      2       

  Col
      0 :
    0.117663  
    0.514611  
    0.400964  

      1 :
    0.519776  
    0.107428  
    0.835506  

      2 :
    0.154002  
    0.974672  
   0.0263055  

      3 :
    0.812483  
    0.293437  
    0.639929  

      4 :
    0.528816  
     0.55189  
    0.565538  

      5 :
    0.309691  
    0.190629  
    0.877272  

      6 :
    0.304283  
    0.591182  
     0.01685  

      7 :
     0.88727  
    0.921755  
    0.168249  

      8 :
   0.0723862  
    0.797848  
    0.481824  

      9 :
    0.842754  
    0.237267  
    0.362024  


hypercube01_sample_test
  Normal end of execution.

hypercube01_volume_test
  Python version: 3.6.9
  hypercube01_volume returns the volume of the unit hypercube
  in M dimensions.

  hypercube01_volume(3) = 1

hypercube01_volume_test
  Normal end of execution.

hypercube_integrals_test:
  Normal end of execution.
Tue Oct 19 11:53:24 2021