07-Jan-2022 21:45:45 hypercube_integrals_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test hypercube_integrals(). hypercube_integrals_test01 Compare exact and estimated integrals over the interior of the unit hypercube in 3D. Number of sample points used is 4192 Ex Ey Ez MC-Estimate Exact Error 2 3 0 0.082123 0.0833333 1.21e-03 2 4 1 0.0327839 0.0333333 5.49e-04 0 1 4 0.0995804 0.1 4.20e-04 3 3 4 0.0115271 0.0125 9.73e-04 1 1 2 0.0832723 0.0833333 6.10e-05 3 2 3 0.0197577 0.0208333 1.08e-03 1 0 0 0.495976 0.5 4.02e-03 3 2 1 0.0405418 0.0416667 1.12e-03 4 2 1 0.0318978 0.0333333 1.44e-03 1 4 2 0.0328155 0.0333333 5.18e-04 3 1 3 0.0301714 0.03125 1.08e-03 2 2 4 0.021257 0.0222222 9.65e-04 0 4 3 0.0492668 0.05 7.33e-04 4 4 1 0.0188389 0.02 1.16e-03 4 1 1 0.0484448 0.05 1.56e-03 0 1 0 0.499482 0.5 5.18e-04 3 0 3 0.0618527 0.0625 6.47e-04 2 2 2 0.0362528 0.037037 7.84e-04 2 4 1 0.0327839 0.0333333 5.49e-04 2 2 3 0.0268516 0.0277778 9.26e-04 hypercube_integrals_test02 Compare exact and estimated integrals over the interior of the unit hypercube in 6D. Number of sample points used is 4192 E1 E2 E3 E4 E5 E6 MC-Estimate Exact Error 1 1 0 3 2 1 0.010779 0.0104167 3.62e-04 2 0 1 0 2 0 0.0537451 0.0555556 1.81e-03 3 1 1 0 0 3 0.0159267 0.015625 3.02e-04 1 3 0 2 0 3 0.0111462 0.0104167 7.30e-04 1 0 0 0 1 1 0.124194 0.125 8.06e-04 2 3 2 0 0 1 0.0144313 0.0138889 5.42e-04 1 2 2 0 2 3 0.00478403 0.00462963 1.54e-04 0 0 2 2 0 1 0.0565633 0.0555556 1.01e-03 1 3 2 1 1 2 0.00381787 0.00347222 3.46e-04 1 0 0 3 2 1 0.0208007 0.0208333 3.26e-05 1 0 3 2 1 0 0.020837 0.0208333 3.68e-06 3 1 2 3 1 3 0.00146162 0.00130208 1.60e-04 0 2 1 3 3 2 0.00390245 0.00347222 4.30e-04 3 1 0 3 1 2 0.00537881 0.00520833 1.70e-04 3 2 1 3 3 1 0.00139736 0.00130208 9.53e-05 0 1 2 1 0 2 0.029025 0.0277778 1.25e-03 3 2 2 1 0 0 0.0147303 0.0138889 8.41e-04 1 3 0 3 1 1 0.00825306 0.0078125 4.41e-04 3 3 2 2 1 1 0.00191382 0.00173611 1.78e-04 0 2 2 3 1 0 0.0147112 0.0138889 8.22e-04 hypercube_integrals_test(): Normal end of execution. 07-Jan-2022 21:45:45