07-Nov-2022 16:19:43 tetrahedron_monte_carlo_test(): MATLAB/Octave version 4.2.2 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 0.002020 0.008294 0.006263 0.034056 0.025716 0.019418 2 0.003246 0.005870 0.011026 0.012748 0.017939 0.039344 4 0.026780 0.017135 0.011478 0.033501 0.008445 0.010561 8 0.040719 0.008400 0.008187 0.010719 0.004969 0.005684 16 0.006815 0.008397 0.005675 0.023568 0.007489 0.013040 32 0.014067 0.007284 0.007989 0.016503 0.011235 0.018829 64 0.017113 0.008902 0.009349 0.014441 0.009311 0.015177 128 0.017865 0.009700 0.009013 0.018232 0.008713 0.015748 256 0.015330 0.007635 0.008238 0.014458 0.007546 0.018046 512 0.017078 0.008280 0.008054 0.016175 0.008747 0.016688 1024 0.017927 0.007713 0.009136 0.014308 0.008156 0.017428 2048 0.016257 0.008167 0.008227 0.016239 0.008389 0.016514 4096 0.016607 0.008212 0.008361 0.016250 0.008206 0.017026 8192 0.016343 0.008252 0.008292 0.016949 0.008435 0.016832 16384 0.016499 0.008367 0.008318 0.016875 0.008416 0.016482 32768 0.016504 0.008293 0.008289 0.016579 0.008341 0.016738 65536 0.016709 0.008337 0.008364 0.016554 0.008287 0.016692 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 5.980989 17.842867 125.854036 202.047377 1172.210006 2 2.666667 6.175654 10.136103 97.750315 136.996547 673.140980 4 2.666667 5.977980 16.956235 155.483624 232.470464 1473.965758 8 2.666667 7.343112 10.967560 100.810424 161.290356 910.399306 16 2.666667 6.844068 14.174807 116.453034 192.680585 1190.469302 32 2.666667 6.540268 13.533677 120.773467 183.225501 1050.197344 64 2.666667 6.879963 13.742017 112.891570 178.584820 1038.029602 128 2.666667 6.704588 13.876709 115.897676 181.219276 1048.832628 256 2.666667 6.580690 15.064074 124.994949 193.964550 1146.031982 512 2.666667 6.719001 14.217087 120.555983 187.968349 1106.009072 1024 2.666667 6.710243 14.163139 119.955439 187.702596 1104.587248 2048 2.666667 6.657543 14.366462 122.160323 190.098853 1118.432639 4096 2.666667 6.668242 14.214427 122.204138 189.170998 1107.536778 8192 2.666667 6.645815 14.132976 121.538962 187.699106 1096.745559 16384 2.666667 6.652474 14.111365 121.255417 187.053861 1090.270526 32768 2.666667 6.665982 14.144380 121.457611 187.916882 1099.478329 65536 2.666667 6.661682 14.166021 121.584191 188.091112 1099.873642 tetrahedron_monte_carlo_test(): Normal end of execution. 07-Nov-2022 16:19:54