6 September 2021 7:38:04.328 PM CDFLIB_TESTB FORTRAN90 version Test the CDFLIB library. TEST005 BETA_INC computes the incomplete Beta ratio. BETA_INC_CDF_VALUES looks up some values. X Y A B CDF CDF (Lookup) (Computed) 0.010000 0.990000 0.500000 0.500000 0.637686E-01 0.637686E-01 0.100000 0.900000 0.500000 0.500000 0.204833 0.204833 1.000000 0.000000 0.500000 0.500000 1.00000 1.00000 0.000000 1.000000 1.000000 0.500000 0.00000 0.00000 0.010000 0.990000 1.000000 0.500000 0.501260E-02 0.501256E-02 0.100000 0.900000 1.000000 0.500000 0.513167E-01 0.513167E-01 0.500000 0.500000 1.000000 0.500000 0.292893 0.292893 0.500000 0.500000 1.000000 1.000000 0.500000 0.500000 0.100000 0.900000 2.000000 2.000000 0.280000E-01 0.280000E-01 0.200000 0.800000 2.000000 2.000000 0.104000 0.104000 0.300000 0.700000 2.000000 2.000000 0.216000 0.216000 0.400000 0.600000 2.000000 2.000000 0.352000 0.352000 0.500000 0.500000 2.000000 2.000000 0.500000 0.500000 0.600000 0.400000 2.000000 2.000000 0.648000 0.648000 0.700000 0.300000 2.000000 2.000000 0.784000 0.784000 0.800000 0.200000 2.000000 2.000000 0.896000 0.896000 0.900000 0.100000 2.000000 2.000000 0.972000 0.972000 0.500000 0.500000 5.500000 5.000000 0.436191 0.436191 0.900000 0.100000 10.000000 0.500000 0.151641 0.151641 0.500000 0.500000 10.000000 5.000000 0.897827E-01 0.897827E-01 1.000000 0.000000 10.000000 5.000000 1.00000 1.00000 0.500000 0.500000 10.000000 10.000000 0.500000 0.500000 0.800000 0.200000 20.000000 5.000000 0.459877 0.459877 0.600000 0.400000 20.000000 10.000000 0.214682 0.214682 0.800000 0.200000 20.000000 10.000000 0.950736 0.950736 0.500000 0.500000 20.000000 20.000000 0.500000 0.500000 0.600000 0.400000 20.000000 20.000000 0.897941 0.897941 0.700000 0.300000 30.000000 10.000000 0.224130 0.224130 0.800000 0.200000 30.000000 10.000000 0.758641 0.758641 0.700000 0.300000 40.000000 20.000000 0.700178 0.700178 X Y A B 1-CDF CCDF (Lookup) (Computed) 0.010000 0.990000 0.500000 0.500000 0.936231 0.936231 0.100000 0.900000 0.500000 0.500000 0.795167 0.795167 1.000000 0.000000 0.500000 0.500000 0.00000 0.00000 0.000000 1.000000 1.000000 0.500000 1.00000 1.00000 0.010000 0.990000 1.000000 0.500000 0.994987 0.994987 0.100000 0.900000 1.000000 0.500000 0.948683 0.948683 0.500000 0.500000 1.000000 0.500000 0.707107 0.707107 0.500000 0.500000 1.000000 1.000000 0.500000 0.500000 0.100000 0.900000 2.000000 2.000000 0.972000 0.972000 0.200000 0.800000 2.000000 2.000000 0.896000 0.896000 0.300000 0.700000 2.000000 2.000000 0.784000 0.784000 0.400000 0.600000 2.000000 2.000000 0.648000 0.648000 0.500000 0.500000 2.000000 2.000000 0.500000 0.500000 0.600000 0.400000 2.000000 2.000000 0.352000 0.352000 0.700000 0.300000 2.000000 2.000000 0.216000 0.216000 0.800000 0.200000 2.000000 2.000000 0.104000 0.104000 0.900000 0.100000 2.000000 2.000000 0.280000E-01 0.280000E-01 0.500000 0.500000 5.500000 5.000000 0.563809 0.563809 0.900000 0.100000 10.000000 0.500000 0.848359 0.848359 0.500000 0.500000 10.000000 5.000000 0.910217 0.910217 1.000000 0.000000 10.000000 5.000000 0.00000 0.00000 0.500000 0.500000 10.000000 10.000000 0.500000 0.500000 0.800000 0.200000 20.000000 5.000000 0.540123 0.540123 0.600000 0.400000 20.000000 10.000000 0.785318 0.785318 0.800000 0.200000 20.000000 10.000000 0.492635E-01 0.492635E-01 0.500000 0.500000 20.000000 20.000000 0.500000 0.500000 0.600000 0.400000 20.000000 20.000000 0.102059 0.102059 0.700000 0.300000 30.000000 10.000000 0.775870 0.775870 0.800000 0.200000 30.000000 10.000000 0.241359 0.241359 0.700000 0.300000 40.000000 20.000000 0.299822 0.299822 TEST01 CDFBET computes one missing parameter from the BETA CDF: BETA_CDF ( (P,Q), (X,Y), A, B ) P Q X Y A B 0.261719 0.738281 0.250000 0.750000 2.000000 3.000000 0.261719 0.738281 0.250000 0.750000 2.000000 3.000000 0.261719 0.738281 0.250000 0.750000 1.999999 3.000000 0.261719 0.738281 0.250000 0.750000 2.000000 3.000002 TEST02 CDFBIN computes one missing parameter from the Binomial CDF: BINOMIAL_CDF ( (P,Q), S, XN, (PR,OMPR) ) P Q S XN PR OMPR 0.067347 0.932653 5.000000 8.000000 0.875000 0.125000 0.067347 0.932653 4.999998 8.000000 0.875000 0.125000 0.067347 0.932653 5.000000 8.000003 0.875000 0.125000 0.067347 0.932653 5.000000 8.000000 0.875000 0.125000 TEST03 CDFCHI computes one missing parameter from the Chi Square CDF: CHI_CDF ( (P,Q), X, DF ) P Q X DF 0.242424 0.757576 5.000000 8.000000 0.242424 0.757576 5.000001 8.000000 0.242424 0.757576 5.000000 7.999998 TEST04 CDFCHN computes one missing parameter from the Chi Square CDF: CHI_Noncentral_CDF ( (P,Q), X, DF, PNONC ) P Q X DF PNONC 0.211040 0.788960 5.000000 8.000000 0.500000 0.211040 0.788960 5.000005 8.000000 0.500000 0.211040 0.788960 5.000000 7.999994 0.500000 0.211040 0.788960 5.000000 8.000000 0.499992 TEST05 CDFF computes one missing parameter from the F CDF: F_CDF ( (P,Q), F, DFN, DFD ) P Q F DFN DFD 0.893510 0.106490 5.000000 8.000000 3.000000 0.893510 0.106490 5.000004 8.000000 3.000000 0.893510 0.106490 5.000000 8.000340 3.000000 0.893510 0.106490 5.000000 8.000000 3.000002 TEST06 CDFFNC computes one missing parameter from the noncentral F CDF: F_noncentral_CDF ( (P,Q), F, DFN, DFD, PNONC ) P Q F DFN DFD PNONC 0.600000 0.400000 5.000000 8.000000 3.000000 17.648016 0.600000 0.400000 5.000000 8.000000 3.000000 17.648016 0.600000 0.400000 5.000000 7.999999 3.000000 17.648016 0.600000 0.400000 5.000000 8.000000 2.999999 17.648016 0.600000 0.400000 5.000000 8.000000 3.000000 17.648018 TEST07 CDFGAM computes one missing parameter from the Gamma CDF: Gamma_CDF ( (P,Q), X, SHAPE, SCALE ) P Q X SHAPE SCALE 0.981998 0.018002 5.000000 8.000000 3.000000 0.981998 0.018002 5.000006 8.000000 3.000000 0.981998 0.018002 5.000000 7.999986 3.000000 0.981998 0.018002 5.000000 8.000000 3.000004 TEST08 CDFNBN computes one missing parameter from the Negative_Binomial CDF: Negative_BINOMIAL_CDF ( (P,Q), F, S, (PR,OMPR) ) P Q F S PR OMPR 0.988752 0.011248 3.000000 5.000000 0.875000 0.125000 0.988752 0.011248 2.999989 5.000000 0.875000 0.125000 0.988752 0.011248 3.000000 5.000031 0.875000 0.125000 0.988752 0.011248 3.000000 5.000000 0.874999 0.125001 TEST09 CDFNOR computes one missing parameter from the Normal CDF: Normal_CDF ( (P,Q), X, MEAN, SD ) P Q X MEAN SD 0.011135 0.988865 3.000000 5.000000 0.875000 0.011135 0.988865 2.999985 5.000000 0.875000 0.011135 0.988865 3.000000 5.000015 0.875000 0.011135 0.988865 3.000000 5.000000 0.874994 TEST10 CDFPOI computes one missing parameter from the Poisson CDF: POISSON_CDF ( (P,Q), S, XLAM ) P Q S XLAM 0.265026 0.734974 3.000000 5.000000 0.265026 0.734974 3.000001 5.000000 0.265026 0.734974 3.000000 4.999999 TEST11 CDFT computes one missing parameter from the T CDF: T_CDF ( (P,Q), T, DF ) P Q T DF 0.984950 0.015050 3.000000 5.000000 0.984950 0.015050 2.999978 5.000000 0.984950 0.015050 3.000000 4.999900 TEST12 CUMBET computes the Beta CDF and the complementary CDF. BETA_INC_CDF_VALUES looks up some values. X Y A B CDF CDF (Lookup) (Computed) 0.010000 0.990000 0.500000 0.500000 0.637686E-01 0.637686E-01 0.100000 0.900000 0.500000 0.500000 0.204833 0.204833 1.000000 0.000000 0.500000 0.500000 1.00000 1.00000 0.000000 1.000000 1.000000 0.500000 0.00000 0.00000 0.010000 0.990000 1.000000 0.500000 0.501260E-02 0.501256E-02 0.100000 0.900000 1.000000 0.500000 0.513167E-01 0.513167E-01 0.500000 0.500000 1.000000 0.500000 0.292893 0.292893 0.500000 0.500000 1.000000 1.000000 0.500000 0.500000 0.100000 0.900000 2.000000 2.000000 0.280000E-01 0.280000E-01 0.200000 0.800000 2.000000 2.000000 0.104000 0.104000 0.300000 0.700000 2.000000 2.000000 0.216000 0.216000 0.400000 0.600000 2.000000 2.000000 0.352000 0.352000 0.500000 0.500000 2.000000 2.000000 0.500000 0.500000 0.600000 0.400000 2.000000 2.000000 0.648000 0.648000 0.700000 0.300000 2.000000 2.000000 0.784000 0.784000 0.800000 0.200000 2.000000 2.000000 0.896000 0.896000 0.900000 0.100000 2.000000 2.000000 0.972000 0.972000 0.500000 0.500000 5.500000 5.000000 0.436191 0.436191 0.900000 0.100000 10.000000 0.500000 0.151641 0.151641 0.500000 0.500000 10.000000 5.000000 0.897827E-01 0.897827E-01 1.000000 0.000000 10.000000 5.000000 1.00000 1.00000 0.500000 0.500000 10.000000 10.000000 0.500000 0.500000 0.800000 0.200000 20.000000 5.000000 0.459877 0.459877 0.600000 0.400000 20.000000 10.000000 0.214682 0.214682 0.800000 0.200000 20.000000 10.000000 0.950736 0.950736 0.500000 0.500000 20.000000 20.000000 0.500000 0.500000 0.600000 0.400000 20.000000 20.000000 0.897941 0.897941 0.700000 0.300000 30.000000 10.000000 0.224130 0.224130 0.800000 0.200000 30.000000 10.000000 0.758641 0.758641 0.700000 0.300000 40.000000 20.000000 0.700178 0.700178 X Y A B 1-CDF CCDF (Lookup) (Computed) 0.010000 0.990000 0.500000 0.500000 0.936231 0.936231 0.100000 0.900000 0.500000 0.500000 0.795167 0.795167 1.000000 0.000000 0.500000 0.500000 0.00000 0.00000 0.000000 1.000000 1.000000 0.500000 1.00000 1.00000 0.010000 0.990000 1.000000 0.500000 0.994987 0.994987 0.100000 0.900000 1.000000 0.500000 0.948683 0.948683 0.500000 0.500000 1.000000 0.500000 0.707107 0.707107 0.500000 0.500000 1.000000 1.000000 0.500000 0.500000 0.100000 0.900000 2.000000 2.000000 0.972000 0.972000 0.200000 0.800000 2.000000 2.000000 0.896000 0.896000 0.300000 0.700000 2.000000 2.000000 0.784000 0.784000 0.400000 0.600000 2.000000 2.000000 0.648000 0.648000 0.500000 0.500000 2.000000 2.000000 0.500000 0.500000 0.600000 0.400000 2.000000 2.000000 0.352000 0.352000 0.700000 0.300000 2.000000 2.000000 0.216000 0.216000 0.800000 0.200000 2.000000 2.000000 0.104000 0.104000 0.900000 0.100000 2.000000 2.000000 0.280000E-01 0.280000E-01 0.500000 0.500000 5.500000 5.000000 0.563809 0.563809 0.900000 0.100000 10.000000 0.500000 0.848359 0.848359 0.500000 0.500000 10.000000 5.000000 0.910217 0.910217 1.000000 0.000000 10.000000 5.000000 0.00000 0.00000 0.500000 0.500000 10.000000 10.000000 0.500000 0.500000 0.800000 0.200000 20.000000 5.000000 0.540123 0.540123 0.600000 0.400000 20.000000 10.000000 0.785318 0.785318 0.800000 0.200000 20.000000 10.000000 0.492635E-01 0.492635E-01 0.500000 0.500000 20.000000 20.000000 0.500000 0.500000 0.600000 0.400000 20.000000 20.000000 0.102059 0.102059 0.700000 0.300000 30.000000 10.000000 0.775870 0.775870 0.800000 0.200000 30.000000 10.000000 0.241359 0.241359 0.700000 0.300000 40.000000 20.000000 0.299822 0.299822 TEST13 CUMBIN computes the Binomial CDF and the complementary CDF. BINOMIAL_CDF_VALUES looks up some values. X S Pr CDF CDF (Lookup) (Computed) 0 2 0.050000 0.902500 0.902500 1 2 0.050000 0.997500 0.997500 2 2 0.050000 1.00000 1.00000 0 2 0.500000 0.250000 0.250000 1 2 0.500000 0.750000 0.750000 0 4 0.250000 0.316400 0.316406 1 4 0.250000 0.738300 0.738281 2 4 0.250000 0.949200 0.949219 3 4 0.250000 0.996100 0.996094 4 10 0.050000 0.999900 0.999936 4 10 0.100000 0.998400 0.998365 4 10 0.150000 0.990100 0.990126 4 10 0.200000 0.967200 0.967207 4 10 0.250000 0.921900 0.921873 4 10 0.300000 0.849700 0.849732 4 10 0.400000 0.633100 0.633103 4 10 0.500000 0.377000 0.376953 X S Pr 1-CDF CCDF (Lookup) (Computed) 0 2 0.050000 0.975000E-01 0.975000E-01 1 2 0.050000 0.250000E-02 0.250000E-02 2 2 0.050000 0.00000 0.00000 0 2 0.500000 0.750000 0.750000 1 2 0.500000 0.250000 0.250000 0 4 0.250000 0.683600 0.683594 1 4 0.250000 0.261700 0.261719 2 4 0.250000 0.508000E-01 0.507813E-01 3 4 0.250000 0.390000E-02 0.390625E-02 4 10 0.050000 0.100000E-03 0.636898E-04 4 10 0.100000 0.160000E-02 0.163494E-02 4 10 0.150000 0.990000E-02 0.987409E-02 4 10 0.200000 0.328000E-01 0.327935E-01 4 10 0.250000 0.781000E-01 0.781269E-01 4 10 0.300000 0.150300 0.150268 4 10 0.400000 0.366900 0.366897 4 10 0.500000 0.623000 0.623047 TEST14 CUMCHI computes the chi square CDF and the complementary CDF. CHI_SQUARE_CDF_VALUES looks up some values. X DF CDF CDF (Lookup) (Computed) 0.010000 1 0.796557E-01 0.796557E-01 0.010000 2 0.498752E-02 0.498752E-02 0.020000 1 0.112463 0.112463 0.020000 2 0.995017E-02 0.995017E-02 0.400000 1 0.472911 0.472911 0.400000 2 0.181269 0.181269 0.400000 3 0.597575E-01 0.597575E-01 0.400000 4 0.175231E-01 0.175231E-01 1.000000 1 0.682689 0.682689 1.000000 2 0.393469 0.393469 1.000000 3 0.198748 0.198748 1.000000 4 0.902040E-01 0.902040E-01 1.000000 5 0.374342E-01 0.374342E-01 2.000000 3 0.427593 0.427593 3.000000 3 0.608375 0.608375 4.000000 3 0.738536 0.738536 5.000000 3 0.828203 0.828203 6.000000 3 0.888390 0.888390 1.000000 10 0.172116E-03 0.172116E-03 2.000000 10 0.365985E-02 0.365985E-02 3.000000 10 0.185759E-01 0.185759E-01 X DF 1-CDF CCDF (Lookup) (Computed) 0.010000 1 0.920344 0.920344 0.010000 2 0.995012 0.995012 0.020000 1 0.887537 0.887537 0.020000 2 0.990050 0.990050 0.400000 1 0.527089 0.527089 0.400000 2 0.818731 0.818731 0.400000 3 0.940242 0.940242 0.400000 4 0.982477 0.982477 1.000000 1 0.317311 0.317311 1.000000 2 0.606531 0.606531 1.000000 3 0.801252 0.801252 1.000000 4 0.909796 0.909796 1.000000 5 0.962566 0.962566 2.000000 3 0.572407 0.572407 3.000000 3 0.391625 0.391625 4.000000 3 0.261464 0.261464 5.000000 3 0.171797 0.171797 6.000000 3 0.111610 0.111610 1.000000 10 0.999828 0.999828 2.000000 10 0.996340 0.996340 3.000000 10 0.981424 0.981424 TEST15 CUMCHN computes the cumulative density function for the noncentral chi-squared distribution. CHI_NONCENTRAL_CDF_VALUES looks up some values. DF Lambda X CDF CDF (Lookup) (Computed) 1 0.500000 3.000000 0.839944 0.839944 2 0.500000 3.000000 0.695906 0.695906 3 0.500000 3.000000 0.535088 0.535088 1 1.000000 3.000000 0.764784 0.764784 2 1.000000 3.000000 0.620644 0.620644 3 1.000000 3.000000 0.469167 0.469167 1 5.000000 3.000000 0.307088 0.307088 2 5.000000 3.000000 0.220382 0.220382 3 5.000000 3.000000 0.150025 0.150025 1 20.000000 3.000000 0.307116E-02 0.307116E-02 2 20.000000 3.000000 0.176398E-02 0.176398E-02 3 20.000000 3.000000 0.981679E-03 0.981679E-03 60 30.000000 60.000000 0.165175E-01 0.165175E-01 80 30.000000 60.000000 0.202342E-03 0.202341E-03 100 30.000000 60.000000 0.498448E-06 0.498446E-06 1 5.000000 0.050000 0.151325E-01 0.151325E-01 2 5.000000 0.050000 0.209041E-02 0.209041E-02 3 5.000000 0.050000 0.246502E-03 0.246502E-03 10 2.000000 4.000000 0.263684E-01 0.263683E-01 10 3.000000 4.000000 0.185798E-01 0.185798E-01 10 4.000000 4.000000 0.130574E-01 0.130574E-01 10 2.000000 5.000000 0.583804E-01 0.583804E-01 10 3.000000 5.000000 0.424978E-01 0.424978E-01 10 4.000000 5.000000 0.308214E-01 0.308214E-01 10 2.000000 6.000000 0.105788 0.105788 10 3.000000 6.000000 0.794084E-01 0.794084E-01 10 4.000000 6.000000 0.593201E-01 0.593201E-01 DF Lambda X 1-CDF CCDF (Lookup) (Computed) 1 0.500000 3.000000 0.160056 0.160056 2 0.500000 3.000000 0.304094 0.304094 3 0.500000 3.000000 0.464912 0.464912 1 1.000000 3.000000 0.235216 0.235216 2 1.000000 3.000000 0.379356 0.379356 3 1.000000 3.000000 0.530833 0.530833 1 5.000000 3.000000 0.692912 0.692912 2 5.000000 3.000000 0.779618 0.779618 3 5.000000 3.000000 0.849975 0.849975 1 20.000000 3.000000 0.996929 0.996929 2 20.000000 3.000000 0.998236 0.998236 3 20.000000 3.000000 0.999018 0.999018 60 30.000000 60.000000 0.983483 0.983483 80 30.000000 60.000000 0.999798 0.999798 100 30.000000 60.000000 1.00000 1.00000 1 5.000000 0.050000 0.984868 0.984867 2 5.000000 0.050000 0.997910 0.997910 3 5.000000 0.050000 0.999753 0.999753 10 2.000000 4.000000 0.973632 0.973632 10 3.000000 4.000000 0.981420 0.981420 10 4.000000 4.000000 0.986943 0.986943 10 2.000000 5.000000 0.941620 0.941620 10 3.000000 5.000000 0.957502 0.957502 10 4.000000 5.000000 0.969179 0.969179 10 2.000000 6.000000 0.894212 0.894212 10 3.000000 6.000000 0.920592 0.920592 10 4.000000 6.000000 0.940680 0.940680 TEST16 CUMF computes the F CDF and the complementary CDF. F_CDF_VALUES looks up some values. X DFN DFD CDF CDF (Lookup) (Computed) 1.000000 1 1 0.500000 0.500000 0.528000 1 5 0.499971 0.499971 1.890000 5 1 0.499603 0.499603 1.690000 1 5 0.749699 0.749699 1.600000 2 10 0.750466 0.750466 1.470000 4 20 0.751416 0.751416 4.060000 1 5 0.899987 0.899987 3.050000 6 6 0.899713 0.899713 2.090000 8 16 0.900285 0.900285 6.610000 1 5 0.950025 0.950025 3.710000 3 10 0.950057 0.950057 3.000000 6 12 0.950193 0.950193 10.010000 1 5 0.975013 0.975013 16.260000 1 5 0.990002 0.990002 22.780000 1 5 0.994998 0.994998 47.180000 1 5 0.999000 0.999000 1.000000 2 5 0.568799 0.568799 1.000000 3 5 0.535145 0.535145 1.000000 4 5 0.514343 0.514343 1.000000 5 5 0.500000 0.500000 X DFN DFD 1-CDF CCDF (Lookup) (Computed) 1.000000 1 1 0.500000 0.500000 0.528000 1 5 0.500029 0.500029 1.890000 5 1 0.500397 0.500397 1.690000 1 5 0.250301 0.250301 1.600000 2 10 0.249534 0.249534 1.470000 4 20 0.248584 0.248584 4.060000 1 5 0.100013 0.100013 3.050000 6 6 0.100287 0.100287 2.090000 8 16 0.997150E-01 0.997154E-01 6.610000 1 5 0.499750E-01 0.499751E-01 3.710000 3 10 0.499430E-01 0.499425E-01 3.000000 6 12 0.498070E-01 0.498074E-01 10.010000 1 5 0.249870E-01 0.249866E-01 16.260000 1 5 0.999800E-02 0.999777E-02 22.780000 1 5 0.500200E-02 0.500222E-02 47.180000 1 5 0.100000E-02 0.100004E-02 1.000000 2 5 0.431201 0.431201 1.000000 3 5 0.464855 0.464855 1.000000 4 5 0.485657 0.485657 1.000000 5 5 0.500000 0.500000 TEST17 CUMFNC computes the noncentral F CDF and the complementary CDF. F_NONCENTRAL_CDF_VALUES looks up some values. X DFN DFD LAMBDA CDF CDF (Lookup) (Computed) 1.000000 1 1 0.000000 0.500000 0.500000 1.000000 1 5 0.000000 0.636783 0.636783 1.000000 1 5 0.250000 0.584092 0.584092 0.500000 1 5 1.000000 0.323443 0.323443 1.000000 1 5 1.000000 0.450119 0.450119 2.000000 1 5 1.000000 0.607888 0.607887 3.000000 1 5 1.000000 0.705928 0.705927 4.000000 1 5 1.000000 0.772178 0.772178 5.000000 1 5 1.000000 0.819105 0.819104 1.000000 1 5 2.000000 0.317035 0.317035 1.000000 2 5 1.000000 0.432722 0.432721 1.000000 2 10 1.000000 0.450270 0.450269 1.000000 3 5 1.000000 0.426188 0.426188 1.000000 3 5 2.000000 0.337744 0.337744 1.000000 4 5 1.000000 0.422911 0.422911 2.000000 4 5 1.000000 0.692767 0.692765 1.000000 5 1 0.000000 0.363217 0.363217 1.000000 5 5 1.000000 0.421005 0.421005 1.000000 6 6 1.000000 0.426667 0.426667 1.000000 6 12 1.000000 0.446402 0.446401 2.000000 8 16 1.000000 0.844589 0.844584 2.000000 16 8 1.000000 0.816368 0.816367 X DFN DFD LAMBDA 1-CDF CCDF (Lookup) (Computed) 1.000000 1 1 0.000000 0.500000 0.500000 1.000000 1 5 0.000000 0.363217 0.363217 1.000000 1 5 0.250000 0.415908 0.415908 0.500000 1 5 1.000000 0.676557 0.676557 1.000000 1 5 1.000000 0.549881 0.549881 2.000000 1 5 1.000000 0.392112 0.392113 3.000000 1 5 1.000000 0.294072 0.294073 4.000000 1 5 1.000000 0.227822 0.227822 5.000000 1 5 1.000000 0.180895 0.180896 1.000000 1 5 2.000000 0.682965 0.682965 1.000000 2 5 1.000000 0.567278 0.567279 1.000000 2 10 1.000000 0.549730 0.549731 1.000000 3 5 1.000000 0.573812 0.573812 1.000000 3 5 2.000000 0.662256 0.662256 1.000000 4 5 1.000000 0.577089 0.577089 2.000000 4 5 1.000000 0.307233 0.307235 1.000000 5 1 0.000000 0.636783 0.636783 1.000000 5 5 1.000000 0.578995 0.578995 1.000000 6 6 1.000000 0.573333 0.573333 1.000000 6 12 1.000000 0.553598 0.553599 2.000000 8 16 1.000000 0.155411 0.155416 2.000000 16 8 1.000000 0.183632 0.183633 TEST18 CUMGAM computes the Gamma CDF and the complementary CDF. GAMMA_INC_VALUES looks up some values. A X CDF CDF (Lookup) (Computed) 0.100000 0.031623 0.742026 0.742026 0.100000 0.316228 0.911975 0.911975 0.100000 1.581139 0.989896 0.989896 0.500000 0.070711 0.293128 0.293128 0.500000 0.707107 0.765642 0.765642 0.500000 3.535534 0.992166 0.992166 1.000000 0.100000 0.951626E-01 0.951626E-01 1.000000 1.000000 0.632121 0.632121 1.000000 5.000000 0.993262 0.993262 1.100000 0.104881 0.757471E-01 0.757471E-01 1.100000 1.048809 0.607646 0.607646 1.100000 5.244044 0.993343 0.993342 2.000000 0.141421 0.910540E-02 0.910536E-02 2.000000 1.414214 0.413064 0.413064 2.000000 7.071068 0.993145 0.993145 6.000000 2.449490 0.387318E-01 0.387318E-01 6.000000 12.247449 0.982594 0.982594 11.000000 16.583124 0.940427 0.940427 26.000000 25.495098 0.486387 0.486387 41.000000 44.821870 0.735971 0.735971 A X CDF CDF (Lookup) (Computed) 0.100000 0.031623 0.257974 0.257974 0.100000 0.316228 0.880247E-01 0.880247E-01 0.100000 1.581139 0.101045E-01 0.101045E-01 0.500000 0.070711 0.706872 0.706872 0.500000 0.707107 0.234358 0.234358 0.500000 3.535534 0.783390E-02 0.783386E-02 1.000000 0.100000 0.904837 0.904837 1.000000 1.000000 0.367879 0.367879 1.000000 5.000000 0.673790E-02 0.673795E-02 1.100000 0.104881 0.924253 0.924253 1.100000 1.048809 0.392354 0.392354 1.100000 5.244044 0.665750E-02 0.665752E-02 2.000000 0.141421 0.990895 0.990895 2.000000 1.414214 0.586936 0.586936 2.000000 7.071068 0.685500E-02 0.685497E-02 6.000000 2.449490 0.961268 0.961268 6.000000 12.247449 0.174063E-01 0.174063E-01 11.000000 16.583124 0.595733E-01 0.595733E-01 26.000000 25.495098 0.513613 0.513613 41.000000 44.821870 0.264029 0.264029 TEST19 CUMNBN computes the Negative Binomial CDF and the complementary CDF. NEGATIVE_BINOMIAL_CDF_VALUES looks up some values. F S Pr CDF CDF (Lookup) (Computed) 4 4 0.500000 0.636700 0.636719 3 5 0.500000 0.363300 0.363281 2 6 0.500000 0.144500 0.144531 3 4 0.500000 0.500000 0.500000 2 5 0.500000 0.226600 0.226563 1 6 0.500000 0.625000E-01 0.625000E-01 2 4 0.500000 0.343800 0.343750 1 5 0.500000 0.109400 0.109375 0 6 0.500000 0.156000E-01 0.156250E-01 2 4 0.400000 0.179200 0.179200 1 5 0.400000 0.410000E-01 0.409600E-01 0 6 0.400000 0.410000E-02 0.409600E-02 2 4 0.300000 0.705000E-01 0.704700E-01 1 5 0.300000 0.109000E-01 0.109350E-01 0 6 0.300000 0.700000E-03 0.729000E-03 11 1 0.300000 0.986200 0.986159 10 2 0.300000 0.915000 0.914975 9 3 0.300000 0.747200 0.747185 17 1 0.100000 0.849900 0.849905 16 2 0.100000 0.549700 0.549716 15 3 0.100000 0.266200 0.266204 9 1 0.100000 0.651300 0.651322 8 2 0.100000 0.263900 0.263901 7 3 0.100000 0.702000E-01 0.701908E-01 2 0 0.010000 1.00000 1.00000 1 1 0.010000 0.199000E-01 0.199000E-01 0 2 0.010000 0.100000E-03 0.100000E-03 F S Pr 1-CDF CCDF (Lookup) (Computed) 4 4 0.500000 0.363300 0.363281 3 5 0.500000 0.636700 0.636719 2 6 0.500000 0.855500 0.855469 3 4 0.500000 0.500000 0.500000 2 5 0.500000 0.773400 0.773437 1 6 0.500000 0.937500 0.937500 2 4 0.500000 0.656200 0.656250 1 5 0.500000 0.890600 0.890625 0 6 0.500000 0.984400 0.984375 2 4 0.400000 0.820800 0.820800 1 5 0.400000 0.959000 0.959040 0 6 0.400000 0.995900 0.995904 2 4 0.300000 0.929500 0.929530 1 5 0.300000 0.989100 0.989065 0 6 0.300000 0.999300 0.999271 11 1 0.300000 0.138000E-01 0.138413E-01 10 2 0.300000 0.850000E-01 0.850250E-01 9 3 0.300000 0.252800 0.252815 17 1 0.100000 0.150100 0.150095 16 2 0.100000 0.450300 0.450284 15 3 0.100000 0.733800 0.733796 9 1 0.100000 0.348700 0.348678 8 2 0.100000 0.736100 0.736099 7 3 0.100000 0.929800 0.929809 2 0 0.010000 0.00000 0.00000 1 1 0.010000 0.980100 0.980100 0 2 0.010000 0.999900 0.999900 TEST20 CUMNOR computes the Normal CDF and the complementary CDF. NORMAL_01_CDF_VALUES looks up some values. X CDF CDF (Lookup) (Computed) 0.000000 0.5000000000000000 0.5000000000000000 0.100000 0.5398278372770290 0.5398278372770290 0.200000 0.5792597094391030 0.5792597094391030 0.300000 0.6179114221889526 0.6179114221889527 0.400000 0.6554217416103242 0.6554217416103242 0.500000 0.6914624612740131 0.6914624612740130 0.600000 0.7257468822499270 0.7257468822499265 0.700000 0.7580363477769270 0.7580363477769270 0.800000 0.7881446014166033 0.7881446014166034 0.900000 0.8159398746532405 0.8159398746532405 1.000000 0.8413447460685429 0.8413447460685429 1.500000 0.9331927987311419 0.9331927987311419 2.000000 0.9772498680518208 0.9772498680518208 2.500000 0.9937903346742240 0.9937903346742238 3.000000 0.9986501019683699 0.9986501019683699 3.500000 0.9997673709209645 0.9997673709209645 4.000000 0.9999683287581669 0.9999683287581669 X 1-CDF CCDF (Lookup) (Computed) 0.000000 0.5000000000000000 0.5000000000000000 0.100000 0.4601721627229710 0.4601721627229710 0.200000 0.4207402905608970 0.4207402905608970 0.300000 0.3820885778110474 0.3820885778110473 0.400000 0.3445782583896758 0.3445782583896758 0.500000 0.3085375387259869 0.3085375387259869 0.600000 0.2742531177500730 0.2742531177500736 0.700000 0.2419636522230730 0.2419636522230730 0.800000 0.2118553985833967 0.2118553985833967 0.900000 0.1840601253467595 0.1840601253467595 1.000000 0.1586552539314571 0.1586552539314570 1.500000 0.6680720126885809E-01 0.6680720126885807E-01 2.000000 0.2275013194817921E-01 0.2275013194817921E-01 2.500000 0.6209665325776048E-02 0.6209665325776135E-02 3.000000 0.1349898031630103E-02 0.1349898031630095E-02 3.500000 0.2326290790355401E-03 0.2326290790355249E-03 4.000000 0.3167124183311998E-04 0.3167124183311992E-04 TEST21 CUMPOI computes the Poisson CDF and the complementary CDF. POISSON_CDF_VALUES looks up some values. X LAMBDA CDF CDF (Lookup) (Computed) 0 0.020000 0.980000 0.980199 0 0.100000 0.905000 0.904837 1 0.100000 0.995000 0.995321 0 0.500000 0.607000 0.606531 1 0.500000 0.910000 0.909796 2 0.500000 0.986000 0.985612 0 1.000000 0.368000 0.367879 1 1.000000 0.736000 0.735759 2 1.000000 0.920000 0.919699 3 1.000000 0.981000 0.981012 0 2.000000 0.135000 0.135335 1 2.000000 0.406000 0.406006 2 2.000000 0.677000 0.676676 3 2.000000 0.857000 0.857123 0 5.000000 0.700000E-02 0.673795E-02 1 5.000000 0.400000E-01 0.404277E-01 2 5.000000 0.125000 0.124652 3 5.000000 0.265000 0.265026 4 5.000000 0.441000 0.440493 5 5.000000 0.616000 0.615961 6 5.000000 0.762000 0.762183 X LAMBDA 1-CDF CCDF (Lookup) (Computed) 0 0.020000 0.200000E-01 0.198013E-01 0 0.100000 0.950000E-01 0.951626E-01 1 0.100000 0.500000E-02 0.467884E-02 0 0.500000 0.393000 0.393469 1 0.500000 0.900000E-01 0.902040E-01 2 0.500000 0.140000E-01 0.143877E-01 0 1.000000 0.632000 0.632121 1 1.000000 0.264000 0.264241 2 1.000000 0.800000E-01 0.803014E-01 3 1.000000 0.190000E-01 0.189882E-01 0 2.000000 0.865000 0.864665 1 2.000000 0.594000 0.593994 2 2.000000 0.323000 0.323324 3 2.000000 0.143000 0.142877 0 5.000000 0.993000 0.993262 1 5.000000 0.960000 0.959572 2 5.000000 0.875000 0.875348 3 5.000000 0.735000 0.734974 4 5.000000 0.559000 0.559507 5 5.000000 0.384000 0.384039 6 5.000000 0.238000 0.237817 TEST22 CUMT computes the Student T CDF and the complementary CDF. STUDENT_CDF_VALUES looks up some values. X DF CDF CDF (Lookup) (Computed) 0.325000 1 0.600000 0.600023 0.289000 2 0.600000 0.600108 0.277000 3 0.600000 0.600115 0.271000 4 0.600000 0.600100 0.267000 5 0.600000 0.599934 0.816000 2 0.750000 0.749886 0.727000 5 0.750000 0.750088 2.920000 2 0.950000 0.950000 2.015000 5 0.950000 0.949997 6.965000 2 0.990000 0.990001 4.541000 3 0.990000 0.990002 3.747000 4 0.990000 0.990000 3.365000 5 0.990000 0.990001 X DF 1-CDF CCDF (Lookup) (Computed) 0.325000 1 0.400000 0.399977 0.289000 2 0.400000 0.399892 0.277000 3 0.400000 0.399885 0.271000 4 0.400000 0.399900 0.267000 5 0.400000 0.400066 0.816000 2 0.250000 0.250114 0.727000 5 0.250000 0.249912 2.920000 2 0.500000E-01 0.499996E-01 2.015000 5 0.500000E-01 0.500031E-01 6.965000 2 0.100000E-01 0.999877E-02 4.541000 3 0.100000E-01 0.999824E-02 3.747000 4 0.100000E-01 0.999954E-02 3.365000 5 0.100000E-01 0.999924E-02 TEST23 BETA evaluates the Beta function; GAMMA evaluates the Gamma function. Argument A = 2.20000 Argument B = 3.70000 Beta(A,B) = 0.453760E-01 (Expected value = 0.0454 ) Gamma(A)*Gamma(B)/Gamma(A+B) = 0.453760E-01 TEST24 ERROR_F computes the error function ERF; ERROR_FC the complementary error function ERFC. ERF_VALUES looks up some values. X ERF ERF (Lookup) (Computed) 0.000000 0.00000 0.00000 0.100000 0.112463 0.112463 0.200000 0.222703 0.222703 0.300000 0.328627 0.328627 0.400000 0.428392 0.428392 0.500000 0.520500 0.520500 0.600000 0.603856 0.603856 0.700000 0.677801 0.677801 0.800000 0.742101 0.742101 0.900000 0.796908 0.796908 1.000000 0.842701 0.842701 1.100000 0.880205 0.880205 1.200000 0.910314 0.910314 1.300000 0.934008 0.934008 1.400000 0.952285 0.952285 1.500000 0.966105 0.966105 1.600000 0.976348 0.976348 1.700000 0.983790 0.983790 1.800000 0.989091 0.989091 1.900000 0.992790 0.992790 2.000000 0.995322 0.995322 X ERFC ERFC (Lookup) (Computed) 0.000000 1.00000 1.00000 0.100000 0.887537 0.887537 0.200000 0.777297 0.777297 0.300000 0.671373 0.671373 0.400000 0.571608 0.571608 0.500000 0.479500 0.479500 0.600000 0.396144 0.396144 0.700000 0.322199 0.322199 0.800000 0.257899 0.257899 0.900000 0.203092 0.203092 1.000000 0.157299 0.157299 1.100000 0.119795 0.119795 1.200000 0.896860E-01 0.896860E-01 1.300000 0.659921E-01 0.659921E-01 1.400000 0.477149E-01 0.477149E-01 1.500000 0.338949E-01 0.338949E-01 1.600000 0.236516E-01 0.236516E-01 1.700000 0.162095E-01 0.162095E-01 1.800000 0.109095E-01 0.109095E-01 1.900000 0.720957E-02 0.720957E-02 2.000000 0.467774E-02 0.467773E-02 TEST25 GAMMA computes the Gamma function; GAMMA_VALUES looks up some values. X GAMMA GAMMA (Lookup) (Computed) 0.200000 4.59084 4.59084 0.400000 2.21816 2.21816 0.600000 1.48919 1.48919 0.800000 1.16423 1.16423 1.000000 1.00000 1.00000 1.100000 0.951351 0.951351 1.200000 0.918169 0.918169 1.300000 0.897471 0.897471 1.400000 0.887264 0.887264 1.500000 0.886227 0.886227 1.600000 0.893515 0.893515 1.700000 0.908639 0.908639 1.800000 0.931384 0.931384 1.900000 0.961766 0.961766 2.000000 1.00000 1.00000 10.000000 362880. 362880. 20.000000 0.121645E+18 0.121645E+18 30.000000 0.884176E+31 0.884176E+31 TEST26 GAMMA_INC evaluates the incomplete Gamma ratio; GAMMA_INC_INV inverts it. Parameters: A = 3.00000 X P Q Inverse 0.00000 0.00000 1.00000 0.00000 0.100000 0.154653E-03 0.999845 0.100000 0.200000 0.114848E-02 0.998852 0.200000 0.300000 0.359949E-02 0.996401 0.300000 0.400000 0.792633E-02 0.992074 0.400000 0.500000 0.143877E-01 0.985612 0.500000 0.600000 0.231153E-01 0.976885 0.600000 0.700000 0.341416E-01 0.965858 0.700000 0.800000 0.474226E-01 0.952577 0.800000 0.900000 0.628569E-01 0.937143 0.900000 1.00000 0.803014E-01 0.919699 1.00000 TEST27 PSI computes the Psi function; PSI_VALUES looks up some values. X PSI PSI (Lookup) (Computed) 1.000000 -0.577216 -0.577216 1.100000 -0.423755 -0.423755 1.200000 -0.289040 -0.289040 1.300000 -0.169191 -0.169191 1.400000 -0.613845E-01 -0.613845E-01 1.500000 -0.364900E-01 0.364900E-01 1.600000 0.126047 0.126047 1.700000 0.208548 0.208548 1.800000 0.284991 0.284991 1.900000 0.356184 0.356184 2.000000 0.422784 0.422784 CDFLIB_TEST Normal end of execution. 6 September 2021 7:38:04.330 PM