9 May 2025 9:16:34.485 PM hypersphere_monte_carlo_test(): FORTRAN90 version Test hypersphere_monte_carlo(). 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 3.33632 0.111731E-01 9.21888 0.885778 0.296640E-02 6.76311 2 12.5664 1.39283 9.60465 1.56889 0.293772 0.866401 0.220646 4 12.5664 4.22763 3.51545 4.82328 2.06169 0.425024 2.27710 8 12.5664 2.76550 3.98754 5.81333 1.76026 0.689590 4.10193 16 12.5664 2.65498 4.76757 5.14382 1.19299 0.700819 3.39120 32 12.5664 3.31522 5.01665 4.23450 1.72649 0.769034 2.49901 64 12.5664 3.25982 4.15056 5.15599 1.64951 0.783447 3.39965 128 12.5664 4.21634 4.19531 4.15471 2.57389 0.834032 2.50051 256 12.5664 4.26358 4.23209 4.07070 2.52876 0.874035 2.35148 512 12.5664 4.11492 4.55386 3.89759 2.41910 0.878931 2.23160 1024 12.5664 3.99427 4.30624 4.26586 2.33062 0.847665 2.57806 2048 12.5664 4.18599 4.30442 4.07596 2.47702 0.863833 2.41547 4096 12.5664 4.24101 4.11662 4.20874 2.56531 0.831873 2.52941 8192 12.5664 4.20636 4.17158 4.18843 2.52244 0.837379 2.51410 16384 12.5664 4.21326 4.15725 4.19586 2.53995 0.837051 2.52140 32768 12.5664 4.17442 4.19831 4.19364 2.49940 0.837644 2.51519 65536 12.5664 4.21060 4.17484 4.18093 2.53211 0.837713 2.50855 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 24.2998 2.24533 0.269874 0.885617 0.225722E-02 0.162425E-03 2 31.0063 -1.95941 4.95966 0.929123 2.11772 0.555585E-02 0.471677 4 31.0063 -5.45825 9.36995 0.300163 0.381159 0.169109 2.03375 8 31.0063 -4.68522 6.44304 0.495881 0.362267 0.187170E-01 3.37066 16 31.0063 -1.59861 5.97036 0.915354 2.44033 0.498282E-01 0.581636 32 31.0063 2.53734 4.19333 0.586353 1.13507 0.826146E-01 0.696593 64 31.0063 -0.231545 6.04784 0.977627 1.72539 0.627176E-01 0.646034 128 31.0063 0.232514 4.73839 0.736315 1.84925 0.769363E-01 0.891427 256 31.0063 0.272319 4.58551 0.540574 2.04444 0.575774E-01 0.908104 512 31.0063 -0.479189E-02 5.57243 0.654596 2.22086 0.602700E-01 0.925354 1024 31.0063 0.171908E-01 5.29085 0.587683 2.05044 0.640219E-01 1.07565 2048 31.0063 0.525054 5.15121 0.619786 1.94012 0.655728E-01 1.00728 4096 31.0063 0.118398 5.21898 0.656626 1.96312 0.617306E-01 0.953056 8192 31.0063 0.633285 5.13227 0.638951 1.99821 0.649015E-01 0.952315 16384 31.0063 0.822607E-01 5.19025 0.641019 1.94845 0.644625E-01 0.960740 32768 31.0063 0.148072 5.14908 0.643038 1.91027 0.658776E-01 0.975158 65536 31.0063 -0.585512E-02 5.16910 0.650535 1.92967 0.647234E-01 0.966597 Exact 31.0063 0.00000 5.16771 0.645964 1.93789 0.645964E-01 0.968946 HYPERSPHERE_MONTE_CARLO_TEST Normal end of execution. 9 May 2025 9:16:34.551 PM