08-Jan-2022 10:31:04 tetrahedron_integrals_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 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 0.0417426 0.0416667 7.60e-05 0 0 2 0.0167785 0.0166667 1.12e-04 0 0 3 0.00847243 0.00833333 1.39e-04 0 1 0 0.0413837 0.0416667 2.83e-04 0 1 1 0.00833427 0.00833333 9.39e-07 0 1 2 0.00277536 0.00277778 2.42e-06 0 1 3 0.00119133 0.00119048 8.57e-07 0 2 0 0.0162731 0.0166667 3.94e-04 0 2 1 0.0027375 0.00277778 4.03e-05 0 2 2 0.000778904 0.000793651 1.47e-05 0 2 3 0.000291188 0.000297619 6.43e-06 0 3 0 0.00802894 0.00833333 3.04e-04 0 3 1 0.00115598 0.00119048 3.45e-05 0 3 2 0.000286279 0.000297619 1.13e-05 0 3 3 9.44848e-05 9.92063e-05 4.72e-06 1 0 0 0.042472 0.0416667 8.05e-04 1 0 1 0.00843627 0.00833333 1.03e-04 1 0 2 0.00280211 0.00277778 2.43e-05 1 0 3 0.00120329 0.00119048 1.28e-05 1 1 0 0.00848863 0.00833333 1.55e-04 1 1 1 0.00143272 0.00138889 4.38e-05 1 1 2 0.000407961 0.000396825 1.11e-05 1 1 3 0.000151853 0.00014881 3.04e-06 1 2 0 0.00278734 0.00277778 9.56e-06 1 2 1 0.00040969 0.000396825 1.29e-05 1 2 2 0.000102786 9.92063e-05 3.58e-06 1 2 3 3.39983e-05 3.30688e-05 9.30e-07 1 3 0 0.00117445 0.00119048 1.60e-05 1 3 1 0.0001524 0.00014881 3.59e-06 1 3 2 3.41687e-05 3.30688e-05 1.10e-06 1 3 3 1.01778e-05 9.92063e-06 2.57e-07 2 0 0 0.017325 0.0166667 6.58e-04 2 0 1 0.00282701 0.00277778 4.92e-05 2 0 2 0.000798324 0.000793651 4.67e-06 2 0 3 0.000298802 0.000297619 1.18e-06 2 1 0 0.0028776 0.00277778 9.98e-05 2 1 1 0.000414115 0.000396825 1.73e-05 2 1 2 0.000103168 9.92063e-05 3.96e-06 2 1 3 3.41498e-05 3.30688e-05 1.08e-06 2 2 0 0.000809739 0.000793651 1.61e-05 2 2 1 0.000104016 9.92063e-05 4.81e-06 2 2 2 2.33317e-05 2.20459e-05 1.29e-06 2 2 3 6.9764e-06 6.61376e-06 3.63e-07 2 3 0 0.000297258 0.000297619 3.62e-07 2 3 1 3.4389e-05 3.30688e-05 1.32e-06 2 3 2 7.0199e-06 6.61376e-06 4.06e-07 2 3 3 1.91716e-06 1.80375e-06 1.13e-07 3 0 0 0.00884126 0.00833333 5.08e-04 3 0 1 0.00122079 0.00119048 3.03e-05 3 0 2 0.000298563 0.000297619 9.44e-07 3 0 3 9.85837e-05 9.92063e-05 6.23e-07 3 1 0 0.00124824 0.00119048 5.78e-05 3 1 1 0.000156169 0.00014881 7.36e-06 3 1 2 3.44943e-05 3.30688e-05 1.43e-06 3 1 3 1.02669e-05 9.92063e-06 3.46e-07 3 2 0 0.000307786 0.000297619 1.02e-05 3 2 1 3.48937e-05 3.30688e-05 1.82e-06 3 2 2 7.05072e-06 6.61376e-06 4.37e-07 3 2 3 1.9224e-06 1.80375e-06 1.19e-07 3 3 0 0.000100395 9.92063e-05 1.19e-06 3 3 1 1.03654e-05 9.92063e-06 4.45e-07 3 3 2 1.93125e-06 1.80375e-06 1.27e-07 3 3 3 4.86523e-07 4.50938e-07 3.56e-08 tetrahedron_integrals_test(): Normal end of execution. 08-Jan-2022 10:31:04