07-Jan-2022 15:57:28

ball_integrals_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Test ball_integrals().

ball_integrals_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

   6   6   2     7.45974e-05     8.20511e-05    7.45e-06
   8   6   6     8.48213e-07       9.388e-07    9.06e-08
   8   6   0       0.0005217     0.000574358    5.27e-05
   2   2   8     0.000649518     0.000650939    1.42e-06
   8   8   2     8.89143e-06     1.00764e-05    1.19e-06
   2   2   4      0.00355123      0.00362666    7.54e-05
   8   4   4     1.61145e-05     1.81376e-05    2.02e-06
   4   8   0      0.00188719      0.00195282    6.56e-05
   2   0   2        0.117819         0.11968    1.86e-03
   6   8   6     9.05059e-07       9.388e-07    3.37e-08
   8   6   4      3.8593e-06     4.31848e-06    4.59e-07
   6   4   2     0.000254214     0.000278974    2.48e-05
   0   8   2       0.0106006      0.00976408    8.36e-04
   4   4   6      4.7096e-05     4.92307e-05    2.13e-06
   4   6   8     4.25502e-06     4.31848e-06    6.35e-08
   8   8   8       6.393e-08     6.81499e-08    4.22e-09
   0   6   2       0.0192291       0.0181333    1.10e-03
   8   2   4     0.000103972     0.000114872    1.09e-05
   6   6   2     7.45974e-05     8.20511e-05    7.45e-06
   6   4   8     3.99892e-06     4.31848e-06    3.20e-07

ball_integrals_test():
  Normal end of execution.

07-Jan-2022 15:57:28