25-Mar-2019 22:22:57

sphere_integrals_test:
  MATLAB version
  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

   2   8   8     0.000209828     0.000211605    1.78e-06
   4   4   0        0.122117         0.11968    2.44e-03
   2   0   0         4.16796         4.18879    2.08e-02
   6   0   4       0.0547691       0.0543999    3.69e-04
   4   6   6     0.000247134     0.000246153    9.81e-07
   0   8   2        0.126823        0.126933    1.10e-04
   0   0   8         1.40021         1.39626    3.94e-03
   8   0   0         1.35488         1.39626    4.14e-02
   2   8   0        0.127309        0.126933    3.76e-04
   2   8   2      0.00981674      0.00976408    5.27e-05
   6   4   8     9.25398e-05      9.0688e-05    1.85e-06
   4   8   4     0.000345144     0.000344615    5.30e-07
   0   6   2        0.199955        0.199466    4.89e-04
   0   4   2        0.360282        0.359039    1.24e-03
   6   2   2       0.0181717       0.0181333    3.84e-05
   6   0   2        0.197881        0.199466    1.59e-03
   8   8   0      0.00415252       0.0040205    1.32e-04
   6   0   6       0.0211068        0.020923    1.84e-04
   6   2   8     0.000587984     0.000574358    1.36e-05
   6   6   4     0.000246707     0.000246153    5.53e-07

sphere_integrals_test
  Normal end of execution.

25-Mar-2019 22:22:57