1TEST OF I(X,ALPHA) VS SERIES EXPANSION 


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL (  0.0,  2.0)


 I(X,ALPHA) WAS LARGER   191 TIMES,
                AGREED   418 TIMES, AND
           WAS SMALLER  1391 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     0.8536E-15 =    2 ** -50.06
    OCCURRED FOR X = 0.301675E+00  AND NU = 0.417628E+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.94


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     0.2834E-15 =    2 ** -51.65
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.35


1TEST OF I(X,ALPHA) VS SERIES EXPANSION 


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL (  2.0,  4.0)


 I(X,ALPHA) WAS LARGER   228 TIMES,
                AGREED   431 TIMES, AND
           WAS SMALLER  1341 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     0.1110E-14 =    2 ** -49.68
    OCCURRED FOR X = 0.386591E+01  AND NU = 0.552922E+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   3.32


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     0.2976E-15 =    2 ** -51.58
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.42


1TEST OF I(X,ALPHA) VS SERIES EXPANSION 


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL (  4.0, 10.0)


 I(X,ALPHA) WAS LARGER   375 TIMES,
                AGREED   351 TIMES, AND
           WAS SMALLER  1274 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     0.1416E-14 =    2 ** -49.33
    OCCURRED FOR X = 0.922593E+01  AND NU = 0.950820E+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   3.67


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     0.3521E-15 =    2 ** -51.33
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.67


1TEST OF EXP(-X)*I(X,0.5) VS 1/SQRT(2*X*PI) 


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL ( 19.7, 29.7)


 I(X,ALPHA) WAS LARGER   166 TIMES,
                AGREED   408 TIMES, AND
           WAS SMALLER  1426 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     0.9726E-15 =    2 ** -49.87
    OCCURRED FOR X = 0.217128E+02  AND NU = 0.500000E+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   3.13


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     0.3034E-15 =    2 ** -51.55
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.45


1CHECK OF ERROR RETURNS 


 THE FOLLOWING SUMMARIZES CALLS WITH INDICATED PARAMETERS

 NCALC DIFFERENT FROM NB INDICATES SOME FORM OF ERROR

 SEE DOCUMENTATION FOR RIBESL FOR DETAILS 

       ARG            ALPHA      NB   IZ       RES      NCALC


  0.1000000E+01  0.5000000E+00    5    1  0.9376749E+00    5


 -0.1000000E+01  0.5000000E+00    5    1  0.0000000E+00   -1


  0.1000000E+01  0.1500000E+01    5    1  0.0000000E+00   -1


  0.1000000E+01  0.5000000E+00   -5    1  0.0000000E+00   -6


  0.1000000E+01  0.5000000E+00    5    5  0.0000000E+00   -1


  0.2225074-307  0.0000000E+00  150    1  0.1000000E+01    1


  0.3000000E+02  0.0000000E+00  150    1  0.7816723E+12  150


  0.1797693+309  0.0000000E+00  150    1  0.0000000E+00   -1


