02-Nov-2022 19:06:49 tetrahedron_integrals_test(): MATLAB/Octave version 4.2.2 Test tetrahedron_integrals(). tetrahedron_integrals_test01(): Estimate monomial integrals using Monte Carlo over the interior of the unit tetrahedron in 3D. Number of sample points used is 4192 Ex Ey Ez MC-Estimate Exact Error 0 0 0 0.166667 0.166667 0.00e+00 0 0 1 0.0411868 0.0416667 4.80e-04 0 0 2 0.0163482 0.0166667 3.18e-04 0 0 3 0.00815639 0.00833333 1.77e-04 0 1 0 0.0419636 0.0416667 2.97e-04 0 1 1 0.00826125 0.00833333 7.21e-05 0 1 2 0.00273101 0.00277778 4.68e-05 0 1 3 0.00117153 0.00119048 1.89e-05 0 2 0 0.016825 0.0166667 1.58e-04 0 2 1 0.00276299 0.00277778 1.48e-05 0 2 2 0.000778217 0.000793651 1.54e-05 0 2 3 0.00029112 0.000297619 6.50e-06 0 3 0 0.00837806 0.00833333 4.47e-05 0 3 1 0.00119066 0.00119048 1.82e-07 0 3 2 0.000292554 0.000297619 5.06e-06 0 3 3 9.69045e-05 9.92063e-05 2.30e-06 1 0 0 0.0422039 0.0416667 5.37e-04 1 0 1 0.00836184 0.00833333 2.85e-05 1 0 2 0.00274179 0.00277778 3.60e-05 1 0 3 0.0011583 0.00119048 3.22e-05 1 1 0 0.00845293 0.00833333 1.20e-04 1 1 1 0.00138377 0.00138889 5.12e-06 1 1 2 0.000389084 0.000396825 7.74e-06 1 1 3 0.000144659 0.00014881 4.15e-06 1 2 0 0.00282597 0.00277778 4.82e-05 1 2 1 0.000395341 0.000396825 1.48e-06 1 2 2 9.6338e-05 9.92063e-05 2.87e-06 1 2 3 3.16206e-05 3.30688e-05 1.45e-06 1 3 0 0.00120829 0.00119048 1.78e-05 1 3 1 0.000149506 0.00014881 6.96e-07 1 3 2 3.22799e-05 3.30688e-05 7.89e-07 1 3 3 9.48278e-06 9.92063e-06 4.38e-07 2 0 0 0.0168502 0.0166667 1.83e-04 2 0 1 0.00282823 0.00277778 5.05e-05 2 0 2 0.000798323 0.000793651 4.67e-06 2 0 3 0.000295669 0.000297619 1.95e-06 2 1 0 0.00281214 0.00277778 3.44e-05 2 1 1 0.000398794 0.000396825 1.97e-06 2 1 2 9.8648e-05 9.92063e-05 5.58e-07 2 1 3 3.27454e-05 3.30688e-05 3.23e-07 2 2 0 0.000808644 0.000793651 1.50e-05 2 2 1 9.93222e-05 9.92063e-05 1.16e-07 2 2 2 2.15349e-05 2.20459e-05 5.11e-07 2 2 3 6.3658e-06 6.61376e-06 2.48e-07 2 3 0 0.000303464 0.000297619 5.84e-06 2 3 1 3.33252e-05 3.30688e-05 2.56e-07 2 3 2 6.45839e-06 6.61376e-06 1.55e-07 2 3 3 1.71881e-06 1.80375e-06 8.49e-08 3 0 0 0.00831661 0.00833333 1.67e-05 3 0 1 0.00122131 0.00119048 3.08e-05 3 0 2 0.000303602 0.000297619 5.98e-06 3 0 3 0.000100337 9.92063e-05 1.13e-06 3 1 0 0.00119297 0.00119048 2.50e-06 3 1 1 0.000150214 0.00014881 1.40e-06 3 1 2 3.33005e-05 3.30688e-05 2.32e-07 3 1 3 1.00252e-05 9.92063e-06 1.05e-07 3 2 0 0.000302079 0.000297619 4.46e-06 3 2 1 3.32705e-05 3.30688e-05 2.02e-07 3 2 2 6.52906e-06 6.61376e-06 8.47e-08 3 2 3 1.76485e-06 1.80375e-06 3.89e-08 3 3 0 0.000101314 9.92063e-05 2.11e-06 3 3 1 1.00378e-05 9.92063e-06 1.17e-07 3 3 2 1.77244e-06 1.80375e-06 3.13e-08 3 3 3 4.33608e-07 4.50938e-07 1.73e-08 tetrahedron_integrals_test(): Normal end of execution. 02-Nov-2022 19:06:49