1Test of I0(X) vs Multiplication Theorem


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


 I0(X) was larger   598 times,
           agreed   827 times, and
      was smaller   575 times.


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


 The maximum relative error of     0.3171E-06 =    2 ** -21.59
    occurred for X = 0.198472E+01
 The estimated loss of base   2 significant digits is   2.41


 The root mean square relative error was     0.9009E-07 =    2 ** -23.40
 The estimated loss of base   2 significant digits is   0.60


1Test of I0(X) vs Taylor series


   2000 Random arguments were tested from the interval ( 2.00, 7.50)


 I0(X) was larger   735 times,
           agreed   544 times, and
      was smaller   721 times.


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


 The maximum relative error of     0.3888E-06 =    2 ** -21.29
    occurred for X = 0.692278E+01
 The estimated loss of base   2 significant digits is   2.71


 The root mean square relative error was     0.1231E-06 =    2 ** -22.95
 The estimated loss of base   2 significant digits is   1.05


1Test of I0(X) vs Taylor series


   2000 Random arguments were tested from the interval ( 7.50,15.00)


 I0(X) was larger   855 times,
           agreed   313 times, and
      was smaller   832 times.


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


 The maximum relative error of     0.7134E-06 =    2 ** -20.42
    occurred for X = 0.137172E+02
 The estimated loss of base   2 significant digits is   3.58


 The root mean square relative error was     0.2205E-06 =    2 ** -22.11
 The estimated loss of base   2 significant digits is   1.89


1Test of I0(X) vs Taylor series


   2000 Random arguments were tested from the interval (15.00,30.00)


 I0(X) was larger   679 times,
           agreed   571 times, and
      was smaller   750 times.


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


 The maximum relative error of     0.3772E-06 =    2 ** -21.34
    occurred for X = 0.175398E+02
 The estimated loss of base   2 significant digits is   2.66


 The root mean square relative error was     0.1159E-06 =    2 ** -23.04
 The estimated loss of base   2 significant digits is   0.96


1Special Tests


 Test with extreme arguments

 I0(XMIN) =  0.10000000000000000E+01

 I0(0) =  0.10000000000000000E+01

 I0(-0.50957590341567993E+00 ) =  0.10659780502319335E+01

 I0( 0.50957590341567993E+00 ) =  0.10659780502319335E+01

 E**-X * I0(XMAX) =  0.21626706585445667E-19

 Tests near the largest argument for unscaled functions

 I0( 0.89115905761718750E+02 ) =  0.21334932291117567E+38

 I0( 0.94772682189941406E+02 ) =  0.33999999521443640E+39

 This concludes the tests.
