08-Jan-2022 09:48:41 sphere_lebedev_rule_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test sphere_lebedev_rule(). 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 SPHERE_LEBEDEV_RULE_TEST02 Generate each available rule and test for accuracy. Order = 6 LMAXW = 3 max error = 3.330669e-16 0.000000000000000 90.000000000000000 0.16666666666667 180.000000000000000 90.000000000000000 0.16666666666667 90.000000000000000 90.000000000000000 0.16666666666667 -90.000000000000000 90.000000000000000 0.16666666666667 90.000000000000000 0.000000000000000 0.16666666666667 90.000000000000000 180.000000000000000 0.16666666666667 Order = 14 LMAXW = 5 max error = 2.081668e-16 0.000000000000000 90.000000000000000 0.06666666666667 180.000000000000000 90.000000000000000 0.06666666666667 90.000000000000000 90.000000000000000 0.06666666666667 -90.000000000000000 90.000000000000000 0.06666666666667 90.000000000000000 0.000000000000000 0.06666666666667 90.000000000000000 180.000000000000000 0.06666666666667 45.000000000000007 54.735610317245346 0.07500000000000 135.000000000000000 54.735610317245346 0.07500000000000 -45.000000000000007 54.735610317245346 0.07500000000000 -135.000000000000000 54.735610317245346 0.07500000000000 45.000000000000007 125.264389682754654 0.07500000000000 135.000000000000000 125.264389682754654 0.07500000000000 -45.000000000000007 125.264389682754654 0.07500000000000 -135.000000000000000 125.264389682754654 0.07500000000000 Order = 26 LMAXW = 7 max error = 5.464379e-16 0.000000000000000 90.000000000000000 0.04761904761905 180.000000000000000 90.000000000000000 0.04761904761905 90.000000000000000 90.000000000000000 0.04761904761905 -90.000000000000000 90.000000000000000 0.04761904761905 90.000000000000000 0.000000000000000 0.04761904761905 90.000000000000000 180.000000000000000 0.04761904761905 90.000000000000000 45.000000000000000 0.03809523809524 -90.000000000000000 45.000000000000000 0.03809523809524 90.000000000000000 135.000000000000000 0.03809523809524 -90.000000000000000 135.000000000000000 0.03809523809524 0.000000000000000 45.000000000000000 0.03809523809524 180.000000000000000 45.000000000000000 0.03809523809524 0.000000000000000 135.000000000000000 0.03809523809524 180.000000000000000 135.000000000000000 0.03809523809524 45.000000000000000 90.000000000000000 0.03809523809524 135.000000000000000 90.000000000000000 0.03809523809524 -45.000000000000000 90.000000000000000 0.03809523809524 -135.000000000000000 90.000000000000000 0.03809523809524 45.000000000000007 54.735610317245346 0.03214285714286 135.000000000000000 54.735610317245346 0.03214285714286 -45.000000000000007 54.735610317245346 0.03214285714286 -135.000000000000000 54.735610317245346 0.03214285714286 45.000000000000007 125.264389682754654 0.03214285714286 135.000000000000000 125.264389682754654 0.03214285714286 -45.000000000000007 125.264389682754654 0.03214285714286 -135.000000000000000 125.264389682754654 0.03214285714286 Order = 38 LMAXW = 9 max error = 4.371503e-16 0.000000000000000 90.000000000000000 0.00952380952381 180.000000000000000 90.000000000000000 0.00952380952381 90.000000000000000 90.000000000000000 0.00952380952381 -90.000000000000000 90.000000000000000 0.00952380952381 90.000000000000000 0.000000000000000 0.00952380952381 90.000000000000000 180.000000000000000 0.00952380952381 45.000000000000007 54.735610317245346 0.03214285714286 135.000000000000000 54.735610317245346 0.03214285714286 -45.000000000000007 54.735610317245346 0.03214285714286 -135.000000000000000 54.735610317245346 0.03214285714286 45.000000000000007 125.264389682754654 0.03214285714286 135.000000000000000 125.264389682754654 0.03214285714286 -45.000000000000007 125.264389682754654 0.03214285714286 -135.000000000000000 125.264389682754654 0.03214285714286 62.632194841377327 90.000000000000000 0.02857142857143 117.367805158622687 90.000000000000000 0.02857142857143 -62.632194841377327 90.000000000000000 0.02857142857143 -117.367805158622687 90.000000000000000 0.02857142857143 27.367805158622673 90.000000000000000 0.02857142857143 152.632194841377327 90.000000000000000 0.02857142857143 -27.367805158622673 90.000000000000000 0.02857142857143 -152.632194841377327 90.000000000000000 0.02857142857143 0.000000000000000 27.367805158622673 0.02857142857143 180.000000000000000 27.367805158622673 0.02857142857143 0.000000000000000 152.632194841377327 0.02857142857143 180.000000000000000 152.632194841377327 0.02857142857143 0.000000000000000 62.632194841377327 0.02857142857143 180.000000000000000 62.632194841377327 0.02857142857143 0.000000000000000 117.367805158622687 0.02857142857143 180.000000000000000 117.367805158622687 0.02857142857143 90.000000000000000 27.367805158622673 0.02857142857143 -90.000000000000000 27.367805158622673 0.02857142857143 90.000000000000000 152.632194841377327 0.02857142857143 -90.000000000000000 152.632194841377327 0.02857142857143 90.000000000000000 62.632194841377327 0.02857142857143 -90.000000000000000 62.632194841377327 0.02857142857143 90.000000000000000 117.367805158622687 0.02857142857143 -90.000000000000000 117.367805158622687 0.02857142857143 Order = 50 LMAXW = 11 max error = 8.014422e-16 0.000000000000000 90.000000000000000 0.01269841269841 180.000000000000000 90.000000000000000 0.01269841269841 90.000000000000000 90.000000000000000 0.01269841269841 -90.000000000000000 90.000000000000000 0.01269841269841 90.000000000000000 0.000000000000000 0.01269841269841 90.000000000000000 180.000000000000000 0.01269841269841 90.000000000000000 45.000000000000000 0.02257495590829 -90.000000000000000 45.000000000000000 0.02257495590829 90.000000000000000 135.000000000000000 0.02257495590829 -90.000000000000000 135.000000000000000 0.02257495590829 0.000000000000000 45.000000000000000 0.02257495590829 180.000000000000000 45.000000000000000 0.02257495590829 0.000000000000000 135.000000000000000 0.02257495590829 180.000000000000000 135.000000000000000 0.02257495590829 45.000000000000000 90.000000000000000 0.02257495590829 135.000000000000000 90.000000000000000 0.02257495590829 -45.000000000000000 90.000000000000000 0.02257495590829 -135.000000000000000 90.000000000000000 0.02257495590829 45.000000000000007 54.735610317245346 0.02109375000000 135.000000000000000 54.735610317245346 0.02109375000000 -45.000000000000007 54.735610317245346 0.02109375000000 -135.000000000000000 54.735610317245346 0.02109375000000 45.000000000000007 125.264389682754654 0.02109375000000 135.000000000000000 125.264389682754654 0.02109375000000 -45.000000000000007 125.264389682754654 0.02109375000000 -135.000000000000000 125.264389682754654 0.02109375000000 45.000000000000007 25.239401820678914 0.02017333553792 135.000000000000000 25.239401820678914 0.02017333553792 -45.000000000000007 25.239401820678914 0.02017333553792 -135.000000000000000 25.239401820678914 0.02017333553792 45.000000000000007 154.760598179321107 0.02017333553792 135.000000000000000 154.760598179321107 0.02017333553792 -45.000000000000007 154.760598179321107 0.02017333553792 -135.000000000000000 154.760598179321107 0.02017333553792 71.565051177077990 72.451599386207704 0.02017333553792 108.434948822922010 72.451599386207704 0.02017333553792 -71.565051177077990 72.451599386207704 0.02017333553792 -108.434948822922010 72.451599386207704 0.02017333553792 71.565051177077990 107.548400613792296 0.02017333553792 108.434948822922010 107.548400613792296 0.02017333553792 -71.565051177077990 107.548400613792296 0.02017333553792 -108.434948822922010 107.548400613792296 0.02017333553792 18.434948822922017 72.451599386207704 0.02017333553792 161.565051177077976 72.451599386207704 0.02017333553792 -18.434948822922017 72.451599386207704 0.02017333553792 -161.565051177077976 72.451599386207704 0.02017333553792 18.434948822922017 107.548400613792296 0.02017333553792 161.565051177077976 107.548400613792296 0.02017333553792 -18.434948822922017 107.548400613792296 0.02017333553792 -161.565051177077976 107.548400613792296 0.02017333553792 Order = 74 LMAXW = 13 max error = 5.581473e-16 Order = 86 LMAXW = 15 max error = 2.930273e-15 Order = 110 LMAXW = 17 max error = 2.668642e-15 Order = 146 LMAXW = 19 max error = 4.436617e-15 Order = 170 LMAXW = 21 max error = 3.697181e-15 Order = 194 LMAXW = 23 max error = 4.251758e-15 Order = 230 LMAXW = 25 max error = 3.083378e-15 Order = 266 LMAXW = 27 max error = 5.694318e-15 Order = 302 LMAXW = 29 max error = 5.517339e-15 Order = 350 LMAXW = 31 max error = 7.697858e-15 Order = 434 LMAXW = 35 max error = 4.947257e-15 Order = 590 LMAXW = 41 max error = 5.499780e-15 Order = 770 LMAXW = 47 max error = 5.055143e-15 Order = 974 LMAXW = 53 max error = 8.173692e-15 Order = 1202 LMAXW = 59 max error = 7.940373e-15 Order = 1454 LMAXW = 65 max error = 9.984470e-15 Order = 1730 LMAXW = 71 max error = 9.882890e-15 Order = 2030 LMAXW = 77 max error = 1.215409e-14 Order = 2354 LMAXW = 83 max error = 1.507319e-14 Order = 2702 LMAXW = 89 max error = 1.302424e-14 Order = 3074 LMAXW = 95 max error = 1.744142e-14 Order = 3470 LMAXW = 101 max error = 1.165211e-14 Order = 3890 LMAXW = 107 max error = 1.809887e-14 Order = 4334 LMAXW = 113 max error = 1.779587e-14 Order = 4802 LMAXW = 119 max error = 1.575285e-14 Order = 5294 LMAXW = 125 max error = 2.147608e-14 Order = 5810 LMAXW = 131 max error = 2.164760e-14 sphere_lebedev_rule_test(): Normal end of execution. 08-Jan-2022 09:48:43