03-Apr-2019 15:37:42 tetrahedron_monte_carlo_test MATLAB version 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 0.071071 0.002087 0.008732 0.000061 0.000256 0.001073 2 0.017120 0.006193 0.016066 0.012333 0.008049 0.015572 4 0.004089 0.000514 0.006189 0.000845 0.002398 0.016339 8 0.012925 0.005057 0.007057 0.014615 0.005824 0.019257 16 0.019160 0.009743 0.010021 0.016962 0.009898 0.019435 32 0.011654 0.008247 0.007822 0.015931 0.006455 0.016613 64 0.015715 0.008403 0.008537 0.015749 0.010079 0.020908 128 0.016333 0.007278 0.008965 0.015109 0.009015 0.015385 256 0.017170 0.008504 0.007488 0.018058 0.008247 0.015425 512 0.015545 0.007878 0.008374 0.017900 0.008671 0.018408 1024 0.016909 0.008098 0.008148 0.016225 0.008172 0.016949 2048 0.017329 0.008723 0.008196 0.016235 0.008130 0.015970 4096 0.016690 0.008338 0.008362 0.016683 0.008327 0.016411 8192 0.016769 0.008285 0.008479 0.016350 0.008294 0.016983 16384 0.016699 0.008259 0.008262 0.017048 0.008463 0.016493 32768 0.016549 0.008304 0.008381 0.016647 0.008395 0.016715 65536 0.016474 0.008298 0.008251 0.016725 0.008303 0.016532 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 1.000000 2.000000 3.000000 2 4.000000 1.000000 2.000000 3 2.000000 4.000000 4.000000 4 3.000000 2.000000 5.000000 P_NUM 1 2.666667 4.354428 12.227043 119.932177 117.919463 412.310379 2 2.666667 6.329140 15.148304 113.207805 174.273903 944.218753 4 2.666667 6.830304 16.787164 222.123933 319.213985 2031.767418 8 2.666667 6.771477 14.758498 132.574443 202.633107 1188.023345 16 2.666667 6.535086 14.810590 115.318790 183.953720 1102.360868 32 2.666667 6.859090 14.023154 129.133011 198.553146 1160.635898 64 2.666667 6.573301 15.111860 119.660683 190.144808 1138.226186 128 2.666667 6.644415 14.173193 126.706319 193.130570 1122.166906 256 2.666667 6.746496 13.683588 120.799047 186.569274 1092.276434 512 2.666667 6.725338 14.446927 120.380519 189.234633 1120.687078 1024 2.666667 6.653303 14.218105 122.353554 189.050661 1107.796121 2048 2.666667 6.651354 13.968910 120.940358 186.565773 1086.549983 4096 2.666667 6.671532 14.084542 121.305812 187.560627 1095.226604 8192 2.666667 6.648014 14.256495 122.065406 188.938007 1107.557730 16384 2.666667 6.682070 14.065573 120.757633 186.970964 1092.555809 32768 2.666667 6.667073 14.163238 121.352006 187.983853 1099.805288 65536 2.666667 6.679438 14.100596 121.788998 188.274269 1100.802684 tetrahedron_monte_carlo_test Normal end of execution. 03-Apr-2019 15:38:25