02-Nov-2022 17:46:49 pyramid_integrals_test(): MATLAB/Octave version 4.2.2 Test pyramid_integrals(). pyramid_integrals_test01(): Compare exact and estimated integrals over the unit pyramid in 3D. Number of sample points used is 500000 E1 E2 E3 MC-Estimate Exact Error 0 0 0 1.33333 1.33333 0.00e+00 2 0 0 0.267215 0.266667 5.48e-04 4 0 0 0.114748 0.114286 4.63e-04 6 0 0 0.063842 0.0634921 3.50e-04 0 2 0 0.267136 0.266667 4.69e-04 2 2 0 0.0636938 0.0634921 2.02e-04 4 2 0 0.0297222 0.0296296 9.26e-05 0 4 0 0.114534 0.114286 2.48e-04 2 4 0 0.029736 0.0296296 1.06e-04 0 6 0 0.0636423 0.0634921 1.50e-04 0 0 1 0.333342 0.333333 8.95e-06 2 0 1 0.0444042 0.0444444 4.03e-05 4 0 1 0.0142894 0.0142857 3.74e-06 0 2 1 0.0445303 0.0444444 8.58e-05 2 2 1 0.00793824 0.00793651 1.73e-06 0 4 1 0.0143256 0.0142857 3.99e-05 0 0 2 0.133393 0.133333 5.95e-05 2 0 2 0.0126808 0.0126984 1.76e-05 4 0 2 0.00317246 0.0031746 2.15e-06 0 2 2 0.0127236 0.0126984 2.52e-05 2 2 2 0.00176048 0.00176367 3.19e-06 0 4 2 0.00318073 0.0031746 6.12e-06 0 0 3 0.0667079 0.0666667 4.13e-05 2 0 3 0.00475743 0.0047619 4.48e-06 0 2 3 0.00477339 0.0047619 1.15e-05 0 0 4 0.0381092 0.0380952 1.40e-05 2 0 4 0.00211599 0.0021164 4.13e-07 0 2 4 0.00212274 0.0021164 6.34e-06 0 0 5 0.0238017 0.0238095 7.82e-06 0 0 6 0.0158507 0.015873 2.23e-05 pyramid_integrals_test02(): Print sample points in the unit pyramid in 3D. Unit pyramid points: 0.322262 -0.167400 0.112599 -0.708974 0.607694 0.219749 -0.107257 0.781235 0.144960 -0.453093 -0.262461 0.512380 -0.366026 0.124398 0.575187 -0.697783 0.506182 0.118167 0.736941 -0.503382 0.086398 0.687019 0.530122 0.200126 0.725541 -0.227412 0.219762 0.574196 -0.488110 0.145115 -0.302997 0.360827 0.151081 -0.722906 0.581864 0.222485 0.245091 -0.229494 0.589869 0.183895 0.591303 0.086180 -0.633657 0.440339 0.071904 -0.190906 -0.372947 0.579254 0.489909 0.360715 0.506654 0.054165 -0.099404 0.305040 0.137063 0.525545 0.377620 -0.462437 0.104352 0.342138 pyramid_integrals_test(): Normal end of execution. 02-Nov-2022 17:46:50