31-Oct-2022 09:58:14 hypercube_integrals_test(): MATLAB/Octave version 4.2.2 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 4 0 0 0.200799 0.2 7.99e-04 4 2 4 0.0139223 0.0133333 5.89e-04 0 1 4 0.0988354 0.1 1.16e-03 4 3 2 0.0171358 0.0166667 4.69e-04 0 0 1 0.494003 0.5 6.00e-03 3 4 4 0.0101951 0.01 1.95e-04 1 3 0 0.125469 0.125 4.69e-04 3 1 1 0.0631971 0.0625 6.97e-04 1 1 4 0.0504941 0.05 4.94e-04 3 1 2 0.0424292 0.0416667 7.63e-04 1 1 0 0.25031 0.25 3.10e-04 4 2 2 0.0228926 0.0222222 6.70e-04 1 3 3 0.0314026 0.03125 1.53e-04 4 2 3 0.0172873 0.0166667 6.21e-04 4 3 1 0.025561 0.025 5.61e-04 1 2 3 0.0419127 0.0416667 2.46e-04 4 0 0 0.200799 0.2 7.99e-04 1 1 0 0.25031 0.25 3.10e-04 0 2 2 0.108304 0.111111 2.81e-03 3 3 1 0.0317903 0.03125 5.40e-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 0 1 2 3 3 2 0.0033902 0.00347222 8.20e-05 3 2 2 3 0 2 0.00236346 0.00231481 4.86e-05 2 0 3 2 0 1 0.01383 0.0138889 5.89e-05 3 2 1 3 1 2 0.00186521 0.00173611 1.29e-04 2 2 2 1 2 3 0.00158378 0.00154321 4.06e-05 1 1 1 2 0 1 0.0205745 0.0208333 2.59e-04 0 1 3 0 2 3 0.00980845 0.0104167 6.08e-04 1 3 1 1 3 0 0.0080638 0.0078125 2.51e-04 0 0 0 0 0 2 0.334147 0.333333 8.13e-04 0 1 2 2 2 3 0.00455039 0.00462963 7.92e-05 1 2 1 3 2 1 0.00362537 0.00347222 1.53e-04 3 1 1 3 3 0 0.00388744 0.00390625 1.88e-05 2 0 3 0 1 2 0.0136176 0.0138889 2.71e-04 1 0 3 2 0 0 0.0414007 0.0416667 2.66e-04 2 1 0 3 0 2 0.0140212 0.0138889 1.32e-04 2 0 1 3 1 0 0.0207925 0.0208333 4.09e-05 2 1 2 2 2 0 0.00613443 0.00617284 3.84e-05 1 1 1 3 2 3 0.00279673 0.00260417 1.93e-04 2 3 2 2 0 0 0.0091053 0.00925926 1.54e-04 0 0 3 2 1 3 0.0102319 0.0104167 1.85e-04 hypercube_integrals_test(): Normal end of execution. 31-Oct-2022 09:58:14