ball_integrals_test
10-Jan-2014 08:16:00

BALL_INTEGRALS_TEST
  MATLAB version
  Test the BALL_INTEGRALS library.

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

   2   8   8     9.63528e-06     1.00764e-05    4.41e-07
   4   4   0       0.0106935         0.01088    1.86e-04
   2   0   0        0.832372        0.837758    5.39e-03
   6   0   4      0.00406502      0.00418461    1.20e-04
   4   6   6      1.2306e-05     1.29554e-05    6.49e-07
   0   8   2       0.0102862      0.00976408    5.22e-04
   0   0   8        0.131516        0.126933    4.58e-03
   8   0   0        0.123941        0.126933    2.99e-03
   2   8   0      0.00951229      0.00976408    2.52e-04
   2   8   2     0.000651667     0.000650939    7.28e-07
   6   4   8     3.93428e-06     4.31848e-06    3.84e-07
   4   8   4     1.78045e-05     1.81376e-05    3.33e-07
   0   6   2       0.0186795       0.0181333    5.46e-04
   0   4   2       0.0400897       0.0398932    1.96e-04
   6   2   2      0.00130118      0.00139487    9.37e-05
   6   0   2       0.0177126       0.0181333    4.21e-04
   8   8   0     0.000216277     0.000211605    4.67e-06
   6   0   6      0.00133952      0.00139487    5.54e-05
   6   2   8     2.75161e-05     3.02293e-05    2.71e-06
   6   6   4     1.26742e-05     1.29554e-05    2.81e-07

BALL_INTEGRALS_TEST
  Normal end of execution.

10-Jan-2014 08:16:00
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