1Test of Y(X,ALPHA) vs Multiplication Theorem


   2000 Random arguments were tested from the interval ( 0.00, 2.00)


 Y(X,ALPHA) was larger  1006 times,
                agreed   425 times, and
           was smaller   569 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum relative error of     0.1498E-05 =    2 ** -19.35
    occurred for X = 0.197217E+01 and NU = 0.533252E+00
    with Y(X,ALPHA) =  0.198960E+00
 The estimated loss of base   2 significant digits is   4.65


 The root mean square relative error was     0.1937E-06 =    2 ** -22.30
 The estimated loss of base   2 significant digits is   1.70


1Test of Y(X,ALPHA) vs Taylor series


   2000 Random arguments were tested from the interval ( 2.00,10.00)


 Y(X,ALPHA) was larger   753 times,
                agreed   527 times, and
           was smaller   720 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum relative error of     0.2324E-05 =    2 ** -18.72
    occurred for X = 0.802393E+01 and NU = 0.525653E+00
    with Y(X,ALPHA) =  0.368745E-01
 The estimated loss of base   2 significant digits is   5.28


 The root mean square relative error was     0.1706E-06 =    2 ** -22.48
 The estimated loss of base   2 significant digits is   1.52


1Test of Y(X,ALPHA) vs Taylor series


   2000 Random arguments were tested from the interval (10.00,20.00)


 Y(X,ALPHA) was larger   647 times,
                agreed   706 times, and
           was smaller   647 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum relative error of     0.5513E-06 =    2 ** -20.79
    occurred for X = 0.196904E+02 and NU = 0.330862E+00
    with Y(X,ALPHA) = -0.810838E-01
 The estimated loss of base   2 significant digits is   3.21


 The root mean square relative error was     0.9577E-07 =    2 ** -23.32
 The estimated loss of base   2 significant digits is   0.68


1Test of Y(X,ALPHA) vs Taylor series


   2000 Random arguments were tested from the interval (30.00,40.00)


 Y(X,ALPHA) was larger   663 times,
                agreed   704 times, and
           was smaller   633 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum relative error of     0.3081E-05 =    2 ** -18.31
    occurred for X = 0.394457E+02 and NU = 0.505421E+00
    with Y(X,ALPHA) =  0.211578E-01
 The estimated loss of base   2 significant digits is   5.69


 The root mean square relative error was     0.1315E-06 =    2 ** -22.86
 The estimated loss of base   2 significant digits is   1.14


1Check of Error Returns


 The following summarizes calls with indicated parameters

 NCALC different from MB indicates some form of error

 See documentation for RYBESL for details

       ARG            ALPHA      MB      B(1)      NCALC


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


  0.1000000E+01  0.5000000E+00    2 -0.4310988E+00    2


  0.1175494E-37  0.0000000E+00    2  0.0000000E+00   -1


  0.3526483E-37  0.0000000E+00    2 -0.5497457E+02    2


  0.3526483E-37  0.9999999E+00    2 -0.1805235E+38    1


 Tests near the largest acceptable argument for RYBESL

 RYBESL will be called with the arguments 0.144815E+04 0.500000E+00
 NCALC returned the value    2
 and RYBESL returned U(1) =  0.208172E-01

 RYBESL will be called with the arguments 0.231705E+05 0.500000E+00
 This should trigger an error message.
 NCALC returned the value   -1
 and RYBESL returned U(1) =  0.000000E+00

 This concludes the tests.
