01 September 2021  12:11:31.819 PM
 
ball_integrals_test():
  FORTRAN90 version
  Test ball_integrals().

test01():
  Use ball01_sample() to estimate monomial integrals
  over the interior of the unit ball in 3D.

  Number of sample points used is   4192

  If any exponent is odd, the integral is zero.
  We will restrict this test to randomly chosen even exponents.

  Ex  Ey  Ez     MC-Estimate           Exact      Error

   2   8   8    0.924316E-05    0.100764E-04    0.83E-06
   4   4   0    0.111937E-01    0.108800E-01    0.31E-03
   2   0   0    0.834077        0.837758        0.37E-02
   6   0   4    0.415414E-02    0.418461E-02    0.30E-04
   4   6   6    0.114037E-04    0.129554E-04    0.16E-05
   0   8   2    0.982480E-02    0.976408E-02    0.61E-04
   0   0   8    0.123432        0.126933        0.35E-02
   8   0   0    0.122117        0.126933        0.48E-02
   2   8   0    0.102605E-01    0.976408E-02    0.50E-03
   2   8   2    0.623327E-03    0.650939E-03    0.28E-04
   6   4   8    0.376827E-05    0.431848E-05    0.55E-06
   4   8   4    0.167186E-04    0.181376E-04    0.14E-05
   0   6   2    0.179132E-01    0.181333E-01    0.22E-03
   0   4   2    0.388319E-01    0.398932E-01    0.11E-02
   6   2   2    0.146432E-02    0.139487E-02    0.69E-04
   6   0   2    0.182999E-01    0.181333E-01    0.17E-03
   8   8   0    0.228323E-03    0.211605E-03    0.17E-04
   6   0   6    0.136406E-02    0.139487E-02    0.31E-04
   6   2   8    0.277454E-04    0.302293E-04    0.25E-05
   6   6   4    0.126094E-04    0.129554E-04    0.35E-06
 
ball_integrals_test():
  Normal end of execution.
 
01 September 2021  12:11:31.821 PM