3 January 2014 9:47:26.355 PM HYPERSPHERE_MONTE_CARLO_PRB FORTRAN90 version Test the HYPERSPHERE_MONTE_CARLO library. TEST01 Use HYPERSPHERE01_SAMPLE to estimate integrals on the surface of the unit hypersphere. Spatial dimension = 3 N 1 X^2 Y^2 Z^2 X^4 X^2Y^2 Z^4 1 12.5664 10.5339 0.835154 1.19727 8.83023 0.700080 0.114071 2 12.5664 2.02991 6.36558 4.17088 0.546977 0.520766 1.76406 4 12.5664 4.27199 5.38250 2.91188 3.44706 0.695182 1.46305 8 12.5664 4.83622 5.37852 2.35164 2.92291 0.874630 0.604385 16 12.5664 2.57633 3.95536 6.03468 1.12817 0.570568 4.07994 32 12.5664 3.67889 4.63079 4.25669 1.97245 0.878244 2.39905 64 12.5664 3.80333 4.34982 4.41322 2.29856 0.619851 2.59377 128 12.5664 3.60244 4.13029 4.83364 2.09410 0.781529 3.22897 256 12.5664 4.02522 4.20375 4.33740 2.42728 0.805943 2.67757 512 12.5664 4.39013 4.06726 4.10898 2.65774 0.872809 2.49488 1024 12.5664 4.12778 4.34168 4.09691 2.49215 0.819200 2.43625 2048 12.5664 4.36766 4.03220 4.16651 2.64980 0.869514 2.51247 4096 12.5664 4.16328 4.18156 4.22153 2.50272 0.812828 2.52502 8192 12.5664 4.18992 4.13776 4.23869 2.52222 0.828661 2.54903 16384 12.5664 4.21660 4.19516 4.15461 2.54373 0.839896 2.48455 32768 12.5664 4.17265 4.25492 4.13880 2.49913 0.840884 2.46844 65536 12.5664 4.22724 4.15424 4.18489 2.54553 0.837108 2.50358 Exact 12.5664 4.18879 4.18879 4.18879 2.51327 0.837758 2.51327 TEST02 Use HYPERSPHERE01_SAMPLE to estimate integrals on the surface of the unit hypersphere. Spatial dimension = 6 N 1 U V^2 V^2W^2 X^4 Y^2Z^2 Z^6 1 31.0063 4.31999 17.5368 0.786370 0.128132 0.190387E-02 0.797277 2 31.0063 8.89778 1.75744 0.140199 0.964885 0.266500E-01 0.676892 4 31.0063 4.30478 9.22896 0.467728 0.637060 0.560691E-02 0.703493 8 31.0063 -0.135148E-01 1.49109 0.174335 3.77454 0.853188E-01 0.112039 16 31.0063 0.223618 4.13231 0.434246 2.39013 0.125302 0.429213 32 31.0063 2.60087 6.44323 0.545571 1.81821 0.469274E-01 0.969555 64 31.0063 1.21569 5.25943 0.687641 2.23888 0.603918E-01 0.702950 128 31.0063 0.140950 4.60926 0.475028 2.23671 0.763399E-01 1.00415 256 31.0063 1.43605 5.07836 0.637325 1.57748 0.703071E-01 1.08652 512 31.0063 0.242595E-01 5.50685 0.745216 2.01872 0.554530E-01 0.891022 1024 31.0063 0.312692 5.19841 0.660012 1.90129 0.649893E-01 0.854851 2048 31.0063 0.101466 5.16364 0.617102 1.96572 0.634583E-01 0.947848 4096 31.0063 -0.138974 5.20812 0.639721 2.00805 0.667107E-01 0.981077 8192 31.0063 -0.232425 5.22522 0.655557 1.93765 0.641439E-01 0.929631 16384 31.0063 0.711216E-01 5.18519 0.648448 1.91405 0.620907E-01 0.984411 32768 31.0063 0.383882E-01 5.20553 0.646013 1.95566 0.646347E-01 0.945209 65536 31.0063 -0.419600E-01 5.16997 0.644271 1.94633 0.655084E-01 0.973907 Exact 31.0063 0.00000 5.16771 0.645964 1.93789 0.645964E-01 0.968946 HYPERSPHERE_MONTE_CARLO_PRB Normal end of execution. 3 January 2014 9:47:26.498 PM