7 January 2014  10:36:16.216 AM

SPHERE_INTEGRALS_PRB:
  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_PRB
  Normal end of execution.

 7 January 2014  10:36:16.221 AM