1Test of Y0(X) VS Multiplication Theorem


   2000 random arguments were tested from the interval (  0.0,  3.0)


 ABS(Y0(X)) was larger   830 times
                agreed   607 times, and
           was smaller   563 times.


 There are  53 base   2 significant digits in a floating-point number.


 The maximum relative error of     0.7624E-15 =    2 ** -50.22
    occurred for X = 0.279648E+01
 The estimated loss of base   2 significant digits is   2.78


 The root mean square relative error was     0.2077E-15 =    2 ** -52.10
 The estimated loss of base   2 significant digits is   0.90


1Test of Y0(X) VS Multiplication Theorem


   2000 random arguments were tested from the interval (  3.0,  5.5)


 ABS(Y0(X)) was larger   685 times
                agreed   568 times, and
           was smaller   747 times.


 There are  53 base   2 significant digits in a floating-point number.


 The maximum relative error of     0.1131E-14 =    2 ** -49.65
    occurred for X = 0.384161E+01
 The estimated loss of base   2 significant digits is   3.35


 The root mean square relative error was     0.2152E-15 =    2 ** -52.05
 The estimated loss of base   2 significant digits is   0.95


1Test of Y0(X) VS Multiplication Theorem


   2000 random arguments were tested from the interval (  5.5,  8.0)


 ABS(Y0(X)) was larger   940 times
                agreed   286 times, and
           was smaller   774 times.


 There are  53 base   2 significant digits in a floating-point number.


 The maximum relative error of     0.2254E-14 =    2 ** -48.66
    occurred for X = 0.715800E+01
 The estimated loss of base   2 significant digits is   4.34


 The root mean square relative error was     0.5128E-15 =    2 ** -50.79
 The estimated loss of base   2 significant digits is   2.21


1Test of Y0(X) VS Multiplication Theorem


    500 random arguments were tested from the interval (  8.0, 20.0)


 ABS(Y0(X)) was larger   176 times
                agreed    98 times, and
           was smaller   226 times.


 There are  53 base   2 significant digits in a floating-point number.


 The maximum absolute error of     0.9898E-15 =    2 ** -49.84
    occurred for X = 0.157299E+02
 The estimated loss of base   2 significant digits is   3.16


 The root mean square absolute error was     0.2354E-15 =    2 ** -51.92
 The estimated loss of base   2 significant digits is   1.08


1Special Tests


 Accuracy near zeros

          X               BESY0(X)             Loss of base  2 digits

    0.8906250000E+00   -0.260031427229335E-02           0.59

    0.3957031250E+01    0.260534549114568E-03           0.91

    0.7085937500E+01   -0.340794487147956E-04           1.84



 Test with extreme arguments

 Y0 will be called with the argument  0.2225073859-307
 This should not stop execution.


 Y0 returned the value -0.45105297100712853E+03

 Y0 will be called with the argument  0.0000000000E+00
 This may stop execution.


 Y0 returned the value -0.17900000000000000+309

 Y0 will be called with the argument  0.1797693135+309
 This may stop execution.


 Y0 returned the value  0.00000000000000000E+00

 This concludes the tests.
