4 January 2014 2:08:26.437 PM HYPERBALL_MONTE_CARLO_PRB FORTRAN77 version Test the BALL_MONTE_CARLO library. TEST01 Use Monte Carlo to estimate integrals over the interior of the unit hyperball in M dimensions. The spatial dimension M = 3 N 1 X^2 Y^2 Z^2 X^4 X^2Y^2 Z^4 1 4.18879 2.10115 0.166584 0.639416E-01 1.05396 0.835605E-01 0.976064E-03 2 4.18879 1.33811 1.18386 0.824457 0.851908 0.928941E-01 0.170178 4 4.18879 0.823432 0.215071 0.867296 0.502681 0.860580E-01 0.268632 8 4.18879 0.559213 0.819403 0.438098 0.156366 0.124699 0.944194E-01 16 4.18879 0.935042 0.775718 1.26817 0.405839 0.138122 0.636904 32 4.18879 1.06703 0.607315 0.942521 0.540660 0.894477E-01 0.473337 64 4.18879 0.828392 0.753533 0.721694 0.373544 0.917863E-01 0.314429 128 4.18879 0.958329 0.814284 0.854071 0.449406 0.120068 0.390935 256 4.18879 0.792226 0.875814 0.884512 0.328443 0.132256 0.406137 512 4.18879 0.778220 0.898254 0.859766 0.315004 0.117823 0.387077 1024 4.18879 0.833271 0.824132 0.836273 0.359631 0.116585 0.346667 2048 4.18879 0.846999 0.846275 0.816794 0.361223 0.124864 0.358204 4096 4.18879 0.854254 0.827099 0.827323 0.371063 0.120246 0.358114 8192 4.18879 0.849908 0.829800 0.830507 0.367458 0.122723 0.362282 16384 4.18879 0.824975 0.849543 0.826854 0.353038 0.120346 0.354715 32768 4.18879 0.848940 0.840033 0.828053 0.367482 0.122917 0.358300 65536 4.18879 0.847325 0.843156 0.826967 0.366251 0.121895 0.360129 Exact 4.18879 0.837758 0.837758 0.837758 0.359039 0.119680 0.359039 TEST02 Use Monte Carlo to estimate integrals over the interior of the unit hyperball in M dimensions. The spatial dimension M = 6 N 1 U V^2 V^2W^2 X^4 Y^2Z^2 Z^6 1 5.16771 3.04274 0.142038 0.559680E-02 0.222997E-03 0.114102E-01 0.225440E-03 2 5.16771 2.62493 0.110915 0.113869E-01 0.234930E-02 0.147631E-01 0.924880E-03 4 5.16771 -0.170038E-01 0.601223 0.155288 0.723497 0.219124E-02 0.108755 8 5.16771 0.277771 0.233428 0.263582E-01 0.489504 0.179494E-02 0.202893 16 5.16771 0.107164 0.691127 0.306501E-01 0.439393 0.920459E-02 0.143656E-01 32 5.16771 -0.257685 0.861574 0.637342E-01 0.234514 0.892938E-02 0.109810 64 5.16771 -0.281593 0.816894 0.926378E-01 0.121491 0.556367E-02 0.762952E-01 128 5.16771 0.202221 0.769736 0.708359E-01 0.180174 0.333151E-02 0.555347E-01 256 5.16771 0.481350E-01 0.719478 0.780483E-01 0.170988 0.535052E-02 0.845573E-01 512 5.16771 -0.198148 0.653258 0.614065E-01 0.176476 0.549871E-02 0.881022E-01 1024 5.16771 0.612776E-01 0.662809 0.654038E-01 0.165125 0.594789E-02 0.784103E-01 2048 5.16771 -0.736841E-01 0.635707 0.639241E-01 0.185490 0.511389E-02 0.789078E-01 4096 5.16771 -0.158125E-01 0.641492 0.633989E-01 0.189354 0.544617E-02 0.834174E-01 8192 5.16771 -0.954104E-02 0.651746 0.661295E-01 0.195343 0.511429E-02 0.815556E-01 16384 5.16771 -0.141411E-02 0.652669 0.642869E-01 0.192642 0.536623E-02 0.775498E-01 32768 5.16771 0.470413E-02 0.637075 0.639778E-01 0.189994 0.548752E-02 0.812996E-01 65536 5.16771 0.590031E-02 0.642482 0.650386E-01 0.193155 0.534675E-02 0.805000E-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. 4 January 2014 2:08:26.851 PM