Fri May 8 15:12:16 2020 ASA063_TEST Python version: 3.6.9 Test the ASA063 library. ALOGAM_TEST: Python version: 3.6.9 ALOGAM evaluates the logarithm of the gamma function. X GAMMA_LOG(X) GAMMA_LOG(X) X tabulated computed 0.200000 1.524063822430784 1.524063822415266 0.400000 0.7966778177017837 0.7966778176896321 0.600000 0.3982338580692348 0.3982338580596541 0.800000 0.1520596783998375 0.1520596783922423 1.000000 0 -1.995014743683132e-11 1.100000 -0.04987244125983972 -0.04987244127741915 1.200000 -0.08537409000331583 -0.08537409001883486 1.300000 -0.1081748095078604 -0.1081748095215821 1.400000 -0.1196129141723712 -0.1196129141845221 1.500000 -0.1207822376352452 -0.1207822376460281 1.600000 -0.1125917656967557 -0.1125917657063365 1.700000 -0.09580769740706586 -0.09580769741558978 1.800000 -0.07108387291437215 -0.07108387292196741 1.900000 -0.03898427592308333 -0.03898427592986082 2.000000 0 -1.995014743683132e-11 3.000000 0.6931471805599453 0.6931471805399952 4.000000 1.791759469228055 1.791759469208105 10.000000 12.80182748008147 12.80182748008065 20.000000 39.33988418719949 39.33988418719949 30.000000 71.25703896716801 71.257038967168 ALOGAM_TEST: Normal end of execution. BETA_INC_VALUES_TEST: Python version: 3.6.9 BETA_INC_VALUES stores values of the BETA function. A B X BETA_INC(A,B,X) 0.5 0.5 0.01 0.06376856085851985 0.5 0.5 0.1 0.2048327646991335 0.5 0.5 1 1 1 0.5 0 0 1 0.5 0.01 0.005012562893380045 1 0.5 0.1 0.0513167019494862 1 0.5 0.5 0.2928932188134525 1 1 0.5 0.5 2 2 0.1 0.028 2 2 0.2 0.104 2 2 0.3 0.216 2 2 0.4 0.352 2 2 0.5 0.5 2 2 0.6 0.648 2 2 0.7 0.784 2 2 0.8 0.896 2 2 0.9 0.972 5.5 5 0.5 0.4361908850559777 10 0.5 0.9 0.1516409096347099 10 5 0.5 0.08978271484375 10 5 1 1 10 10 0.5 0.5 20 5 0.8 0.4598773297575791 20 10 0.6 0.2146816102371739 20 10 0.8 0.9507364826957875 20 20 0.5 0.5 20 20 0.6 0.8979413687105918 30 10 0.7 0.2241297491808366 30 10 0.8 0.7586405487192086 40 20 0.7 0.7001783247477069 1 0.5 0.1 0.0513167019494862 1 0.5 0.2 0.1055728090000841 1 0.5 0.3 0.1633399734659245 1 0.5 0.4 0.2254033307585166 1 2 0.2 0.36 1 3 0.2 0.488 1 4 0.2 0.5904 1 5 0.2 0.67232 2 2 0.3 0.216 3 2 0.3 0.0837 4 2 0.3 0.03078 5 2 0.3 0.010935 1.30625 11.7562 0.225609 0.918884684620518 1.30625 11.7562 0.0335568 0.21052977489419 1.30625 11.7562 0.0295222 0.1824130512500673 BETA_INC_VALUES_TEST: Normal end of execution. BETAIN_TEST Python version: 3.6.9 BETAIN computes the incomplete beta function. Compare to tabulated values. A B X FX FX2 (Tabulated) (BETAIN) DIFF 0.50 0.50 0.01 6.3768560858519854e-02 6.3768560858622869e-02 1.0301e-13 0.50 0.50 0.10 2.0483276469913350e-01 2.0483276469946435e-01 3.3085e-13 0.50 0.50 1.00 1.0000000000000000e+00 1.0000000000000000e+00 0.0000e+00 1.00 0.50 0.00 0.0000000000000000e+00 0.0000000000000000e+00 0.0000e+00 1.00 0.50 0.01 5.0125628933800452e-03 5.0125628934800477e-03 1.0000e-13 1.00 0.50 0.10 5.1316701949486197e-02 5.1316701950509969e-02 1.0238e-12 1.00 0.50 0.50 2.9289321881345248e-01 2.9289321881929548e-01 5.8430e-12 1.00 1.00 0.50 5.0000000000000000e-01 5.0000000000997513e-01 9.9751e-12 2.00 2.00 0.10 2.8000000000000001e-02 2.8000000000558641e-02 5.5864e-13 2.00 2.00 0.20 1.0400000000000000e-01 1.0400000000207489e-01 2.0749e-12 2.00 2.00 0.30 2.1600000000000000e-01 2.1600000000430927e-01 4.3093e-12 2.00 2.00 0.40 3.5199999999999998e-01 3.5200000000702270e-01 7.0227e-12 2.00 2.00 0.50 5.0000000000000000e-01 5.0000000000997535e-01 9.9754e-12 2.00 2.00 0.60 6.4800000000000002e-01 6.4799999999297730e-01 7.0227e-12 2.00 2.00 0.70 7.8400000000000003e-01 7.8399999999569059e-01 4.3094e-12 2.00 2.00 0.80 8.9600000000000002e-01 8.9599999999792512e-01 2.0749e-12 2.00 2.00 0.90 9.7199999999999998e-01 9.7199999999944142e-01 5.5855e-13 5.50 5.00 0.50 4.3619088505597770e-01 4.3619088506915027e-01 1.3173e-11 10.00 0.50 0.90 1.5164090963470989e-01 1.5164090963638788e-01 1.6780e-12 10.00 5.00 0.50 8.9782714843750000e-02 8.9782714845613412e-02 1.8634e-12 10.00 5.00 1.00 1.0000000000000000e+00 1.0000000000000000e+00 0.0000e+00 10.00 10.00 0.50 5.0000000000000000e-01 5.0000000000082345e-01 8.2345e-13 20.00 5.00 0.80 4.5987732975757911e-01 4.5987732976674967e-01 9.1706e-12 20.00 10.00 0.60 2.1468161023717389e-01 2.1468161023734908e-01 1.7519e-13 20.00 10.00 0.80 9.5073648269578748e-01 9.5073648269574740e-01 4.0079e-14 20.00 20.00 0.50 5.0000000000000000e-01 4.9999999999999212e-01 7.8826e-15 20.00 20.00 0.60 8.9794136871059183e-01 8.9794136871059282e-01 9.9920e-16 30.00 10.00 0.70 2.2412974918083661e-01 2.2412974918101938e-01 1.8277e-13 30.00 10.00 0.80 7.5864054871920861e-01 7.5864054871901043e-01 1.9817e-13 40.00 20.00 0.70 7.0017832474770691e-01 7.0017832474770825e-01 1.3323e-15 1.00 0.50 0.10 5.1316701949486197e-02 5.1316701950509969e-02 1.0238e-12 1.00 0.50 0.20 1.0557280900008410e-01 1.0557280900219029e-01 2.1062e-12 1.00 0.50 0.30 1.6333997346592449e-01 1.6333997346918305e-01 3.2586e-12 1.00 0.50 0.40 2.2540333075851660e-01 2.2540333076301339e-01 4.4968e-12 1.00 2.00 0.20 3.5999999999999999e-01 3.6000000000718207e-01 7.1821e-12 1.00 3.00 0.20 4.8799999999999999e-01 4.8800000000973581e-01 9.7358e-12 1.00 4.00 0.20 5.9040000000000004e-01 5.9040000001177817e-01 1.1778e-11 1.00 5.00 0.20 6.7232000000000003e-01 6.7231999999346237e-01 6.5377e-12 2.00 2.00 0.30 2.1600000000000000e-01 2.1600000000430927e-01 4.3093e-12 3.00 2.00 0.30 8.3699999999999997e-02 8.3700000001669758e-02 1.6698e-12 4.00 2.00 0.30 3.0779999999999998e-02 3.0780000000614042e-02 6.1404e-13 5.00 2.00 0.30 1.0935000000000000e-02 1.0935000000218150e-02 2.1815e-13 1.31 11.76 0.23 9.1888468462051798e-01 9.1888468461940442e-01 1.1136e-12 1.31 11.76 0.03 2.1052977489419000e-01 2.1052977489708088e-01 2.8909e-12 1.31 11.76 0.03 1.8241305125006729e-01 1.8241305125257212e-01 2.5048e-12 BETAIN_TEST: Normal end of execution. GAMMA_LOG_VALUES_TEST: Python version: 3.6.9 GAMMA_LOG_VALUES stores values of the logarithm of the Gamma function. X GAMMA_LOG(X) 0.2 1.524063822430784 0.4 0.7966778177017837 0.6 0.3982338580692348 0.8 0.1520596783998375 1 0 1.1 -0.04987244125983972 1.2 -0.08537409000331583 1.3 -0.1081748095078604 1.4 -0.1196129141723712 1.5 -0.1207822376352452 1.6 -0.1125917656967557 1.7 -0.09580769740706586 1.8 -0.07108387291437215 1.9 -0.03898427592308333 2 0 3 0.6931471805599453 4 1.791759469228055 10 12.80182748008147 20 39.33988418719949 30 71.25703896716801 GAMMA_LOG_VALUES_TEST: Normal end of execution. ASA063_TEST: Normal end of execution. Fri May 8 15:12:16 2020