04 January 2014 11:48:22.486 AM HYPERBALL_MONTE_CARLO_PRB FORTRAN90 version Test the HYPERBALL_MONTE_CARLO library. TEST01 Use the Monte Carlo method to estimate integrals over the interior of the unit hyperball in M dimensions. Spatial dimension M = 3 N 1 X^2 Y^2 Z^2 X^4 X^2Y^2 Z^4 1 4.18879 1.95456 0.154962 0.222153 0.912032 0.723078E-01 0.117819E-01 2 4.18879 0.285003 0.352418 0.982765 0.375300E-01 0.470271E-01 0.230832 4 4.18879 0.450645 0.206100 1.26508 0.172505 0.651560E-01 0.889128 8 4.18879 0.712446 0.497587 0.754963 0.209236 0.375273E-01 0.268274 16 4.18879 0.882044 0.765903 0.857893 0.449194 0.784038E-01 0.392482 32 4.18879 1.03283 0.694814 0.740921 0.445081 0.101170 0.278826 64 4.18879 0.879992 0.909243 1.04612 0.383403 0.137748 0.515849 128 4.18879 0.921134 0.693829 0.862255 0.388619 0.123674 0.399467 256 4.18879 0.869529 0.763275 0.827620 0.375558 0.113985 0.361489 512 4.18879 0.816751 0.863886 0.911945 0.335273 0.127719 0.414506 1024 4.18879 0.837304 0.822143 0.848610 0.349439 0.122941 0.365156 2048 4.18879 0.813399 0.870088 0.830237 0.343779 0.122769 0.353352 4096 4.18879 0.832505 0.833958 0.853659 0.353581 0.117140 0.371934 8192 4.18879 0.830033 0.819263 0.844363 0.350831 0.116563 0.363334 16384 4.18879 0.819848 0.838231 0.848373 0.348667 0.116856 0.365318 32768 4.18879 0.835331 0.844344 0.839432 0.354285 0.120145 0.360512 65536 4.18879 0.838096 0.831099 0.841443 0.359348 0.118977 0.363631 Exact 4.18879 0.837758 0.837758 0.837758 0.359039 0.119680 0.359039 TEST02 Use the Monte Carlo method to estimate integrals over the interior of the unit hyperball in M dimensions. Spatial dimension M = 6 N 1 U V^2 V^2W^2 X^4 Y^2Z^2 Z^6 1 5.16771 0.963996 1.79276 0.493085E-01 0.803436E-02 0.214003E-03 0.306639E-01 2 5.16771 1.27335 1.63049 0.642238E-01 0.297419E-01 0.411697E-02 1.12211 4 5.16771 -0.176283E-01 0.145241 0.154706E-01 0.226550 0.720310E-02 0.124949 8 5.16771 0.974252 0.541575 0.634435E-01 0.421387 0.879036E-02 0.649640E-03 16 5.16771 -0.710559 0.697886 0.998497E-01 0.151511 0.431095E-02 0.117668 32 5.16771 0.702859 0.432222 0.679110E-01 0.282941 0.960772E-02 0.129218 64 5.16771 -0.415746 0.699547 0.810006E-01 0.148705 0.402700E-02 0.101006 128 5.16771 0.269220 0.602791 0.728917E-01 0.196648 0.471946E-02 0.511788E-01 256 5.16771 -0.926207E-01 0.628973 0.663647E-01 0.218250 0.560284E-02 0.759499E-01 512 5.16771 -0.213434E-01 0.717722 0.721067E-01 0.183291 0.601347E-02 0.884720E-01 1024 5.16771 -0.111645 0.626609 0.632191E-01 0.205490 0.483818E-02 0.694663E-01 2048 5.16771 0.383127E-01 0.643551 0.616186E-01 0.213244 0.532297E-02 0.732140E-01 4096 5.16771 -0.152052E-01 0.661263 0.664786E-01 0.194767 0.568542E-02 0.857146E-01 8192 5.16771 0.197907E-01 0.627837 0.635479E-01 0.196833 0.539014E-02 0.812487E-01 16384 5.16771 0.121807E-01 0.654946 0.657738E-01 0.195542 0.522610E-02 0.818051E-01 32768 5.16771 0.190844E-01 0.648122 0.650713E-01 0.193913 0.534369E-02 0.807776E-01 65536 5.16771 -0.819139E-02 0.647176 0.642860E-01 0.196708 0.536382E-02 0.817317E-01 Exact 5.16771 0.00000 0.645964 0.645964E-01 0.193789 0.538303E-02 0.807455E-01 HYPERBALL_MONTE_CARLO_PRB Normal end of execution. 04 January 2014 11:48:22.822 AM