14 June 2018 03:47:30 PM

BALL_INTEGRALS_TEST
  C version
  Test the BALL_INTEGRALS library.

TEST01
  Estimate monomial integrals using Monte Carlo
  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

   8   0   2      0.00944719      0.00976408    3.17e-04
   4   2   8     0.000106546     0.000114872    8.33e-06
   8   2   4     0.000113351     0.000114872    1.52e-06
   0   8   4       0.0017592      0.00195282    1.94e-04
   0   0   6        0.201203        0.199466    1.74e-03
   2   6   8     2.91293e-05     3.02293e-05    1.10e-06
   0   2   0        0.817859        0.837758    1.99e-02
   4   6   4     4.88858e-05     4.92307e-05    3.45e-07
   6   2   0       0.0194586       0.0181333    1.33e-03
   8   8   2     1.00818e-05     1.00764e-05    5.40e-09
   8   4   8     1.28466e-06     1.31432e-06    2.97e-08
   2   2   8     0.000617766     0.000650939    3.32e-05
   6   0   4      0.00401111      0.00418461    1.73e-04
   8   4   0      0.00211512      0.00195282    1.62e-04
   6   0   0        0.206377        0.199466    6.91e-03
   8   2   0       0.0106769      0.00976408    9.13e-04
   8   4   2     0.000116982     0.000114872    2.11e-06
   2   6   0       0.0174516       0.0181333    6.82e-04
   2   8   8      9.7552e-06     1.00764e-05    3.21e-07
   0   2   2        0.116416         0.11968    3.26e-03

BALL_INTEGRALS_TEST
  Normal end of execution.

14 June 2018 03:47:30 PM