02-Nov-2022 18:10:45

sphere_integrals_test():
  MATLAB/Octave version 4.2.2
  Test sphere_integrals().

sphere_integrals_test01():
  Estimate monomial integrands using Monte Carlo
  over the surface of the unit sphere in 3D.

  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   4   2      0.00198525      0.00195282    3.24e-05
   4   2   0        0.360118        0.359039    1.08e-03
   4   8   2      0.00197871      0.00195282    2.59e-05
   0   8   2        0.127276        0.126933    3.42e-04
   4   2   8        0.002005      0.00195282    5.22e-05
   0   8   2        0.127276        0.126933    3.42e-04
   4   2   4        0.011203         0.01088    3.23e-04
   6   6   2      0.00142098      0.00139487    2.61e-05
   4   8   2      0.00197871      0.00195282    2.59e-05
   6   2   4      0.00431006      0.00418461    1.25e-04
   8   6   8     6.82184e-06      6.5716e-06    2.50e-07
   0   6   2        0.200415        0.199466    9.49e-04
   4   4   4      0.00258188      0.00251076    7.11e-05
   2   6   2       0.0184105       0.0181333    2.77e-04
   2   6   6      0.00141735      0.00139487    2.25e-05
   4   6   8     9.30972e-05      9.0688e-05    2.41e-06
   0   8   8      0.00404956       0.0040205    2.91e-05
   2   0   4        0.362974        0.359039    3.93e-03
   0   6   4       0.0547294       0.0543999    3.29e-04
   4   2   0        0.360118        0.359039    1.08e-03

sphere_integrals_test():
  Normal end of execution.

02-Nov-2022 18:10:45