1Test of I0(X) vs Multiplication Theorem


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


 I0(X) was larger   481 times,
           agreed  1031 times, and
      was smaller   488 times.


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


 The maximum relative error of     0.5866E-15 =    2 ** -50.60
    occurred for X = 0.199472E+01
 The estimated loss of base   2 significant digits is   2.40


 The root mean square relative error was     0.1423E-15 =    2 ** -52.64
 The estimated loss of base   2 significant digits is   0.36


1Test of I0(X) vs Taylor series


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


 I0(X) was larger   715 times,
           agreed   610 times, and
      was smaller   675 times.


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


 The maximum relative error of     0.7933E-15 =    2 ** -50.16
    occurred for X = 0.575388E+01
 The estimated loss of base   2 significant digits is   2.84


 The root mean square relative error was     0.2187E-15 =    2 ** -52.02
 The estimated loss of base   2 significant digits is   0.98


1Test of I0(X) vs Taylor series


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


 I0(X) was larger   864 times,
           agreed   318 times, and
      was smaller   818 times.


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


 The maximum relative error of     0.1283E-14 =    2 ** -49.47
    occurred for X = 0.146811E+02
 The estimated loss of base   2 significant digits is   3.53


 The root mean square relative error was     0.4178E-15 =    2 ** -51.09
 The estimated loss of base   2 significant digits is   1.91


1Test of I0(X) vs Taylor series


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


 I0(X) was larger   642 times,
           agreed   739 times, and
      was smaller   619 times.


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


 The maximum relative error of     0.8323E-15 =    2 ** -50.09
    occurred for X = 0.150301E+02
 The estimated loss of base   2 significant digits is   2.91


 The root mean square relative error was     0.1807E-15 =    2 ** -52.30
 The estimated loss of base   2 significant digits is   0.70


1Special Tests


 Test with extreme arguments

 I0(XMIN) =  0.10000000000000000E+01

 I0(0) =  0.10000000000000000E+01

 I0(-0.50957590341567993E+00 ) =  0.10659780814870702E+01

 I0( 0.50957590341567993E+00 ) =  0.10659780814870702E+01

 E**-X * I0(XMAX) =  0.29754474593158999-154

 Tests near the largest argument for unscaled functions

 I0( 0.69235094188622170E+03 ) =  0.73285657728857094+299

 I0( 0.73629899972079639E+03 ) =  0.17900000000000000+309

 This concludes the tests.
