3 April 2023 4:34:23.252 PM sphere_lebedev_rule_test(): FORTRAN90 version Test sphere_lebedev_rule(). TEST01 List Lebedev rule properties. Rule Avail Order Prec 1 1 6 3 2 1 14 5 3 1 26 7 4 1 38 9 5 1 50 11 6 1 74 13 7 1 86 15 8 1 110 17 9 1 146 19 10 1 170 21 11 1 194 23 12 1 230 25 13 1 266 27 14 1 302 29 15 1 350 31 16 0 386 33 17 1 434 35 18 0 482 37 19 0 530 39 20 1 590 41 21 0 650 43 22 0 698 45 23 1 770 47 24 0 830 49 25 0 890 51 26 1 974 53 27 0 1046 55 28 0 1118 57 29 1 1202 59 30 0 1274 61 31 0 1358 63 32 1 1454 65 33 0 1538 67 34 0 1622 69 35 1 1730 71 36 0 1814 73 37 0 1910 75 38 1 2030 77 39 0 2126 79 40 0 2222 81 41 1 2354 83 42 0 2450 85 43 0 2558 87 44 1 2702 89 45 0 2810 91 46 0 2930 93 47 1 3074 95 48 0 3182 97 49 0 3314 99 50 1 3470 101 51 0 3590 103 52 0 3722 105 53 1 3890 107 54 0 4010 109 55 0 4154 111 56 1 4334 113 57 0 4466 115 58 0 4610 117 59 1 4802 119 60 0 4934 121 61 0 5090 123 62 1 5294 125 63 0 5438 127 64 0 5606 129 65 1 5810 131 TEST02 Generate each available rule and test for accuracy. Order = 6 LMAXW = 3 max error = 0.333067E-15 0.00000000000000 90.0000000000000 0.166666666666667 180.000000000000 90.0000000000000 0.166666666666667 90.0000000000000 90.0000000000000 0.166666666666667 -90.0000000000000 90.0000000000000 0.166666666666667 90.0000000000000 0.00000000000000 0.166666666666667 90.0000000000000 180.000000000000 0.166666666666667 Order = 14 LMAXW = 5 max error = 0.208167E-15 0.00000000000000 90.0000000000000 0.666666666666667E-01 180.000000000000 90.0000000000000 0.666666666666667E-01 90.0000000000000 90.0000000000000 0.666666666666667E-01 -90.0000000000000 90.0000000000000 0.666666666666667E-01 90.0000000000000 0.00000000000000 0.666666666666667E-01 90.0000000000000 180.000000000000 0.666666666666667E-01 45.0000000000000 54.7356103172453 0.750000000000000E-01 135.000000000000 54.7356103172453 0.750000000000000E-01 -45.0000000000000 54.7356103172453 0.750000000000000E-01 -135.000000000000 54.7356103172453 0.750000000000000E-01 45.0000000000000 125.264389682755 0.750000000000000E-01 135.000000000000 125.264389682755 0.750000000000000E-01 -45.0000000000000 125.264389682755 0.750000000000000E-01 -135.000000000000 125.264389682755 0.750000000000000E-01 Order = 26 LMAXW = 7 max error = 0.546438E-15 0.00000000000000 90.0000000000000 0.476190476190476E-01 180.000000000000 90.0000000000000 0.476190476190476E-01 90.0000000000000 90.0000000000000 0.476190476190476E-01 -90.0000000000000 90.0000000000000 0.476190476190476E-01 90.0000000000000 0.00000000000000 0.476190476190476E-01 90.0000000000000 180.000000000000 0.476190476190476E-01 90.0000000000000 45.0000000000000 0.380952380952381E-01 -90.0000000000000 45.0000000000000 0.380952380952381E-01 90.0000000000000 135.000000000000 0.380952380952381E-01 -90.0000000000000 135.000000000000 0.380952380952381E-01 0.00000000000000 45.0000000000000 0.380952380952381E-01 180.000000000000 45.0000000000000 0.380952380952381E-01 0.00000000000000 135.000000000000 0.380952380952381E-01 180.000000000000 135.000000000000 0.380952380952381E-01 45.0000000000000 90.0000000000000 0.380952380952381E-01 135.000000000000 90.0000000000000 0.380952380952381E-01 -45.0000000000000 90.0000000000000 0.380952380952381E-01 -135.000000000000 90.0000000000000 0.380952380952381E-01 45.0000000000000 54.7356103172453 0.321428571428571E-01 135.000000000000 54.7356103172453 0.321428571428571E-01 -45.0000000000000 54.7356103172453 0.321428571428571E-01 -135.000000000000 54.7356103172453 0.321428571428571E-01 45.0000000000000 125.264389682755 0.321428571428571E-01 135.000000000000 125.264389682755 0.321428571428571E-01 -45.0000000000000 125.264389682755 0.321428571428571E-01 -135.000000000000 125.264389682755 0.321428571428571E-01 Order = 38 LMAXW = 9 max error = 0.437150E-15 0.00000000000000 90.0000000000000 0.952380952380952E-02 180.000000000000 90.0000000000000 0.952380952380952E-02 90.0000000000000 90.0000000000000 0.952380952380952E-02 -90.0000000000000 90.0000000000000 0.952380952380952E-02 90.0000000000000 0.00000000000000 0.952380952380952E-02 90.0000000000000 180.000000000000 0.952380952380952E-02 45.0000000000000 54.7356103172453 0.321428571428571E-01 135.000000000000 54.7356103172453 0.321428571428571E-01 -45.0000000000000 54.7356103172453 0.321428571428571E-01 -135.000000000000 54.7356103172453 0.321428571428571E-01 45.0000000000000 125.264389682755 0.321428571428571E-01 135.000000000000 125.264389682755 0.321428571428571E-01 -45.0000000000000 125.264389682755 0.321428571428571E-01 -135.000000000000 125.264389682755 0.321428571428571E-01 62.6321948413773 90.0000000000000 0.285714285714286E-01 117.367805158623 90.0000000000000 0.285714285714286E-01 -62.6321948413773 90.0000000000000 0.285714285714286E-01 -117.367805158623 90.0000000000000 0.285714285714286E-01 27.3678051586227 90.0000000000000 0.285714285714286E-01 152.632194841377 90.0000000000000 0.285714285714286E-01 -27.3678051586227 90.0000000000000 0.285714285714286E-01 -152.632194841377 90.0000000000000 0.285714285714286E-01 0.00000000000000 27.3678051586227 0.285714285714286E-01 180.000000000000 27.3678051586227 0.285714285714286E-01 0.00000000000000 152.632194841377 0.285714285714286E-01 180.000000000000 152.632194841377 0.285714285714286E-01 0.00000000000000 62.6321948413773 0.285714285714286E-01 180.000000000000 62.6321948413773 0.285714285714286E-01 0.00000000000000 117.367805158623 0.285714285714286E-01 180.000000000000 117.367805158623 0.285714285714286E-01 90.0000000000000 27.3678051586227 0.285714285714286E-01 -90.0000000000000 27.3678051586227 0.285714285714286E-01 90.0000000000000 152.632194841377 0.285714285714286E-01 -90.0000000000000 152.632194841377 0.285714285714286E-01 90.0000000000000 62.6321948413773 0.285714285714286E-01 -90.0000000000000 62.6321948413773 0.285714285714286E-01 90.0000000000000 117.367805158623 0.285714285714286E-01 -90.0000000000000 117.367805158623 0.285714285714286E-01 Order = 50 LMAXW = 11 max error = 0.801442E-15 0.00000000000000 90.0000000000000 0.126984126984127E-01 180.000000000000 90.0000000000000 0.126984126984127E-01 90.0000000000000 90.0000000000000 0.126984126984127E-01 -90.0000000000000 90.0000000000000 0.126984126984127E-01 90.0000000000000 0.00000000000000 0.126984126984127E-01 90.0000000000000 180.000000000000 0.126984126984127E-01 90.0000000000000 45.0000000000000 0.225749559082892E-01 -90.0000000000000 45.0000000000000 0.225749559082892E-01 90.0000000000000 135.000000000000 0.225749559082892E-01 -90.0000000000000 135.000000000000 0.225749559082892E-01 0.00000000000000 45.0000000000000 0.225749559082892E-01 180.000000000000 45.0000000000000 0.225749559082892E-01 0.00000000000000 135.000000000000 0.225749559082892E-01 180.000000000000 135.000000000000 0.225749559082892E-01 45.0000000000000 90.0000000000000 0.225749559082892E-01 135.000000000000 90.0000000000000 0.225749559082892E-01 -45.0000000000000 90.0000000000000 0.225749559082892E-01 -135.000000000000 90.0000000000000 0.225749559082892E-01 45.0000000000000 54.7356103172453 0.210937500000000E-01 135.000000000000 54.7356103172453 0.210937500000000E-01 -45.0000000000000 54.7356103172453 0.210937500000000E-01 -135.000000000000 54.7356103172453 0.210937500000000E-01 45.0000000000000 125.264389682755 0.210937500000000E-01 135.000000000000 125.264389682755 0.210937500000000E-01 -45.0000000000000 125.264389682755 0.210937500000000E-01 -135.000000000000 125.264389682755 0.210937500000000E-01 45.0000000000000 25.2394018206789 0.201733355379189E-01 135.000000000000 25.2394018206789 0.201733355379189E-01 -45.0000000000000 25.2394018206789 0.201733355379189E-01 -135.000000000000 25.2394018206789 0.201733355379189E-01 45.0000000000000 154.760598179321 0.201733355379189E-01 135.000000000000 154.760598179321 0.201733355379189E-01 -45.0000000000000 154.760598179321 0.201733355379189E-01 -135.000000000000 154.760598179321 0.201733355379189E-01 71.5650511770780 72.4515993862077 0.201733355379189E-01 108.434948822922 72.4515993862077 0.201733355379189E-01 -71.5650511770780 72.4515993862077 0.201733355379189E-01 -108.434948822922 72.4515993862077 0.201733355379189E-01 71.5650511770780 107.548400613792 0.201733355379189E-01 108.434948822922 107.548400613792 0.201733355379189E-01 -71.5650511770780 107.548400613792 0.201733355379189E-01 -108.434948822922 107.548400613792 0.201733355379189E-01 18.4349488229220 72.4515993862077 0.201733355379189E-01 161.565051177078 72.4515993862077 0.201733355379189E-01 -18.4349488229220 72.4515993862077 0.201733355379189E-01 -161.565051177078 72.4515993862077 0.201733355379189E-01 18.4349488229220 107.548400613792 0.201733355379189E-01 161.565051177078 107.548400613792 0.201733355379189E-01 -18.4349488229220 107.548400613792 0.201733355379189E-01 -161.565051177078 107.548400613792 0.201733355379189E-01 Order = 74 LMAXW = 13 max error = 0.558147E-15 Order = 86 LMAXW = 15 max error = 0.293027E-14 Order = 110 LMAXW = 17 max error = 0.266864E-14 Order = 146 LMAXW = 19 max error = 0.443662E-14 Order = 170 LMAXW = 21 max error = 0.369718E-14 Order = 194 LMAXW = 23 max error = 0.425176E-14 Order = 230 LMAXW = 25 max error = 0.308338E-14 Order = 266 LMAXW = 27 max error = 0.569432E-14 Order = 302 LMAXW = 29 max error = 0.551734E-14 Order = 350 LMAXW = 31 max error = 0.769786E-14 Order = 434 LMAXW = 35 max error = 0.494726E-14 Order = 590 LMAXW = 41 max error = 0.549978E-14 Order = 770 LMAXW = 47 max error = 0.505514E-14 Order = 974 LMAXW = 53 max error = 0.817369E-14 Order = 1202 LMAXW = 59 max error = 0.794037E-14 Order = 1454 LMAXW = 65 max error = 0.998447E-14 Order = 1730 LMAXW = 71 max error = 0.988289E-14 Order = 2030 LMAXW = 77 max error = 0.121541E-13 Order = 2354 LMAXW = 83 max error = 0.150732E-13 Order = 2702 LMAXW = 89 max error = 0.130242E-13 Order = 3074 LMAXW = 95 max error = 0.174414E-13 Order = 3470 LMAXW = 101 max error = 0.116521E-13 Order = 3890 LMAXW = 107 max error = 0.180989E-13 Order = 4334 LMAXW = 113 max error = 0.177959E-13 Order = 4802 LMAXW = 119 max error = 0.157529E-13 Order = 5294 LMAXW = 125 max error = 0.214761E-13 Order = 5810 LMAXW = 131 max error = 0.216476E-13 sphere_lebedev_rule_test(): Normal end of execution. 3 April 2023 4:34:23.534 PM