15 September 2021   3:23:21.988 PM

SPHERE_INTEGRALS_TEST:
  FORTRAN90 version
  Test the SPHERE_INTEGRALS library.

TEST01
  Estimate monomial integrals using Monte Carlo
  over the surface of the unit sphere 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

   8   0   2    0.121941        0.126933        0.50E-02
   4   2   8    0.190447E-02    0.195282E-02    0.48E-04
   8   2   4    0.191300E-02    0.195282E-02    0.40E-04
   0   8   4    0.290258E-01    0.292922E-01    0.27E-03
   0   0   6     1.82320         1.79520        0.28E-01
   2   6   8    0.580181E-03    0.574358E-03    0.58E-05
   0   2   0     4.24472         4.18879        0.56E-01
   4   6   4    0.835833E-03    0.836921E-03    0.11E-05
   6   2   0    0.200113        0.199466        0.65E-03
   8   8   2    0.214468E-03    0.211605E-03    0.29E-05
   8   4   8    0.292818E-04    0.302293E-04    0.95E-06
   2   2   8    0.968920E-02    0.976408E-02    0.75E-04
   6   0   4    0.521780E-01    0.543999E-01    0.22E-02
   8   4   0    0.297251E-01    0.292922E-01    0.43E-03
   6   0   0     1.77314         1.79520        0.22E-01
   8   2   0    0.127238        0.126933        0.30E-03
   8   4   2    0.195897E-02    0.195282E-02    0.62E-05
   2   6   0    0.200470        0.199466        0.10E-02
   2   8   8    0.214805E-03    0.211605E-03    0.32E-05
   0   2   2    0.828215        0.837758        0.95E-02

SPHERE_INTEGRALS_TEST
  Normal end of execution.

15 September 2021   3:23:21.990 PM