22 April 2014 04:31:49 PM SPHERE_TRIANGLE_MONTE_CARLO_PRB C++ version Test the SPHERE_TRIANGLE_MONTE_CARLO library. TEST01 Estimate monomial integrals over a sphere triangle using the Monte Carlo method. Vertices of random spherical triangle with shrink factor = 1 and area = 3.06905 V1: 0.795416 -0.223966 -0.563163 V2: -0.696321 -0.28431 0.659018 V3: 0.901719 0.397757 -0.169386 N 1 X^2 Y^2 Z^2 X^4 X^2Y^2 Z^4 1 3.06905 0.102917 1.40816 1.55798 0.00345121 0.047221 0.790893 2 3.06905 0.635457 2.37467 0.058932 0.1606 0.467205 0.00184483 4 3.06905 1.31044 0.35122 1.40739 0.75845 0.178513 0.922368 8 3.06905 1.40018 0.463329 1.20554 0.913899 0.099046 0.72754 16 3.06905 1.19964 1.01731 0.852105 0.735353 0.264494 0.508136 32 3.06905 1.48207 0.689632 0.897351 1.10455 0.167134 0.498201 64 3.06905 1.16053 0.629179 1.27934 0.72135 0.17704 0.817158 128 3.06905 1.40798 0.667095 0.993982 0.999028 0.161942 0.594759 256 3.06905 1.32421 0.679933 1.06491 0.919046 0.186262 0.676852 512 3.06905 1.18127 0.759131 1.12865 0.791836 0.172386 0.716228 1024 3.06905 1.26147 0.74853 1.05905 0.872426 0.177749 0.666445 2048 3.06905 1.28092 0.727682 1.06045 0.878263 0.182468 0.659983 4096 3.06905 1.24887 0.748486 1.0717 0.851964 0.181134 0.66674 8192 3.06905 1.27262 0.730691 1.06575 0.868025 0.181601 0.660401 16384 3.06905 1.29673 0.72671 1.04561 0.892769 0.184248 0.645487 32768 3.06905 1.27126 0.73113 1.06667 0.869046 0.183096 0.664761 65536 3.06905 1.27948 0.731868 1.05771 0.876329 0.183492 0.654749 131072 3.06905 1.2774 0.725497 1.06616 0.876228 0.181686 0.664341 262144 3.06905 1.28024 0.723609 1.06521 0.878862 0.181522 0.663305 Vertices of random spherical triangle with shrink factor = 0.5 and area = 0.316024 V1: 0.927865 -0.173156 -0.330278 V2: 0.385461 -0.514537 0.765945 V3: 0.980787 0.149362 -0.125494 N 1 X^2 Y^2 Z^2 X^4 X^2Y^2 Z^4 1 0.316024 0.250228 0.0249958 0.0408003 0.19813 0.0197917 0.00526754 2 0.316024 0.274423 0.0153849 0.0262161 0.239609 0.0133887 0.0035441 4 0.316024 0.247023 0.0318857 0.0371146 0.196676 0.0235511 0.00586474 8 0.316024 0.250467 0.0296393 0.0359174 0.217007 0.0171822 0.0122857 16 0.316024 0.24561 0.0291451 0.0412686 0.202902 0.0186472 0.0109602 32 0.316024 0.246473 0.0297834 0.0397678 0.210117 0.0172052 0.0131556 64 0.316024 0.262425 0.0244288 0.0291701 0.228604 0.0165437 0.00741279 128 0.316024 0.259894 0.0258129 0.0303164 0.226694 0.0168 0.0087799 256 0.316024 0.260882 0.0258264 0.0293151 0.226984 0.0171077 0.00771215 512 0.316024 0.257642 0.0263695 0.0320122 0.222402 0.0170137 0.00853571 1024 0.316024 0.258228 0.0262559 0.0315397 0.223511 0.0170108 0.00862878 2048 0.316024 0.258519 0.0259947 0.0315102 0.222977 0.0171 0.00808475 4096 0.316024 0.25958 0.0256085 0.0308348 0.224974 0.0168555 0.0081664 8192 0.316024 0.258062 0.0261329 0.0318292 0.222657 0.0170896 0.00842336 16384 0.316024 0.25785 0.0263562 0.0318171 0.222412 0.0172164 0.0084592 32768 0.316024 0.258875 0.0258769 0.0312716 0.223824 0.0169777 0.00820804 65536 0.316024 0.258762 0.0260189 0.0312429 0.223666 0.0170708 0.00820575 131072 0.316024 0.258641 0.026018 0.0313647 0.223452 0.0170796 0.00824218 262144 0.316024 0.258417 0.0261216 0.031485 0.223198 0.0171054 0.00831382 Vertices of random spherical triangle with shrink factor = 0.25 and area = 0.0378486 V1: 0.969241 -0.142036 -0.200994 V2: 0.949253 -0.255364 0.183596 V3: 0.994871 0.0178011 -0.0995687 N 1 X^2 Y^2 Z^2 X^4 X^2Y^2 Z^4 1 0.0378486 0.0365348 0.00131067 3.10838e-06 0.0352667 0.00126517 2.55281e-10 2 0.0378486 0.0366822 0.00095038 0.000216081 0.0355522 0.000920703 1.28074e-06 4 0.0378486 0.036445 0.00103148 0.000372187 0.0351096 0.00097908 3.96992e-06 8 0.0378486 0.0369196 0.00049997 0.000429092 0.0360213 0.000485173 9.87643e-06 16 0.0378486 0.0370774 0.000575658 0.000195587 0.0363248 0.000560739 2.16758e-06 32 0.0378486 0.0366686 0.000945876 0.000234182 0.0355342 0.000909392 2.75391e-06 64 0.0378486 0.0368009 0.000763018 0.000284686 0.035794 0.000732987 4.30582e-06 128 0.0378486 0.0367073 0.00080803 0.00033324 0.0356145 0.000772931 5.83686e-06 256 0.0378486 0.0367813 0.000748644 0.000318631 0.0357553 0.000718955 5.10618e-06 512 0.0378486 0.0368368 0.000732407 0.000279381 0.035861 0.000705753 4.3473e-06 1024 0.0378486 0.0367958 0.000763112 0.000289714 0.035782 0.000734304 4.5922e-06 2048 0.0378486 0.0367796 0.000756343 0.000312661 0.0357515 0.000726745 5.10767e-06 4096 0.0378486 0.0368017 0.000737233 0.000309703 0.0357934 0.000709484 5.0841e-06 8192 0.0378486 0.0367861 0.000747507 0.000315029 0.0357637 0.00071874 5.26773e-06 16384 0.0378486 0.0367803 0.000760329 0.000308035 0.0357525 0.000730896 5.08199e-06 32768 0.0378486 0.0367905 0.000746856 0.000311256 0.0357723 0.000718187 5.15811e-06 65536 0.0378486 0.0367879 0.00074975 0.000310961 0.0357672 0.000720924 5.16039e-06 131072 0.0378486 0.0367872 0.000752033 0.000309341 0.035766 0.000723057 5.10851e-06 262144 0.0378486 0.0367868 0.000751282 0.000310505 0.0357652 0.000722318 5.13946e-06 SPHERE_TRIANGLE_MONTE_CARLO_PRB Normal end of execution. 22 April 2014 04:31:51 PM