08-Jan-2022 10:31:14 tetrahedron_monte_carlo_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test tetrahedron_monte_carlo(). TETRAHEDRON_MONTE_CARLO_TEST01 Integrate TETRAHEDRON_INTEGRAND_03 Integration region is the unit tetrahedron. Use an increasing number of points P_NUM. P_NUM X^2 X*Y X*Z Y^2 Y*Z Z^2 1 0.001158 0.000559 0.011664 0.000270 0.005632 0.117468 2 0.000844 0.004114 0.003987 0.020748 0.012818 0.080557 4 0.022887 0.007192 0.007137 0.032739 0.003726 0.002834 8 0.008701 0.008683 0.006954 0.017039 0.011277 0.014595 16 0.013399 0.005569 0.011672 0.012511 0.005222 0.022232 32 0.011593 0.008253 0.006060 0.015339 0.007622 0.012780 64 0.019252 0.009216 0.009762 0.014113 0.007541 0.015191 128 0.015303 0.008702 0.008057 0.015654 0.008159 0.014699 256 0.018309 0.008572 0.008905 0.013696 0.007987 0.018539 512 0.016727 0.008186 0.008597 0.016755 0.008398 0.017339 1024 0.017663 0.008716 0.008568 0.016278 0.008450 0.016486 2048 0.017511 0.008453 0.008295 0.016576 0.008356 0.016524 4096 0.017075 0.008304 0.008383 0.016120 0.008150 0.016582 8192 0.016435 0.008328 0.008210 0.016682 0.008286 0.016319 16384 0.016900 0.008290 0.008358 0.016583 0.008447 0.016884 32768 0.016677 0.008296 0.008389 0.016690 0.008380 0.016622 65536 0.016586 0.008273 0.008346 0.016492 0.008373 0.016801 TETRAHEDRON_MONTE_CARLO_TEST02 Integrate TETRAHEDRON_UNIT_INTEGRAND_USER Integration region is over a general tetrahedron. Use an increasing number of points P_NUM. Tetrahedron vertices: Row: 1 2 3 Col 1: 1 2 3 2: 4 1 2 3: 2 4 4 4: 3 2 5 P_NUM 1 2.666667 5.911943 9.937137 108.007129 134.596057 576.023430 2 2.666667 6.593311 16.179413 123.273254 208.255371 1357.589360 4 2.666667 5.980026 9.901319 90.183800 111.147838 487.737534 8 2.666667 6.975992 16.495802 131.864868 224.556478 1463.015185 16 2.666667 6.883871 14.416580 127.207521 205.040948 1254.370629 32 2.666667 6.663183 14.099336 114.875955 182.888412 1099.526055 64 2.666667 6.390773 14.011800 126.609368 186.534056 1059.074089 128 2.666667 6.885400 12.532243 112.851310 175.848623 1013.877087 256 2.666667 6.696012 14.261160 121.449974 188.666516 1107.420686 512 2.666667 6.627191 14.105197 121.872333 187.839523 1095.025794 1024 2.666667 6.694976 14.251525 119.275331 186.651763 1097.792003 2048 2.666667 6.668884 14.131911 120.565682 186.701496 1089.599994 4096 2.666667 6.656814 13.999154 122.078507 187.597289 1091.893750 8192 2.666667 6.651817 14.299854 121.508821 188.730412 1108.289088 16384 2.666667 6.657555 14.147688 120.794582 187.021315 1093.309374 32768 2.666667 6.671798 14.112617 121.095291 187.488702 1096.389752 65536 2.666667 6.662832 14.107594 121.304928 187.490634 1095.052405 tetrahedron_monte_carlo_test(): Normal end of execution. 08-Jan-2022 10:31:15