1Test of I1(X) vs Multiplication Theorem


   2000 Random arguments were tested from the interval ( 0.00, 1.00)


 I1(X) was larger   636 times,
           agreed   724 times, and
      was smaller   640 times.


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


 The maximum relative error of     0.6286E-15 =    2 ** -50.50
    occurred for X = 0.948890E+00
 The estimated loss of base   2 significant digits is   2.50


 The root mean square relative error was     0.1753E-15 =    2 ** -52.34
 The estimated loss of base   2 significant digits is   0.66


1Test of I1(X) vs Taylor series


   2000 Random arguments were tested from the interval ( 1.00, 7.50)


 I1(X) was larger   705 times,
           agreed   622 times, and
      was smaller   673 times.


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


 The maximum relative error of     0.8353E-15 =    2 ** -50.09
    occurred for X = 0.654661E+01
 The estimated loss of base   2 significant digits is   2.91


 The root mean square relative error was     0.2102E-15 =    2 ** -52.08
 The estimated loss of base   2 significant digits is   0.92


1Test of I1(X) vs Taylor series


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


 I1(X) was larger   887 times,
           agreed   297 times, and
      was smaller   816 times.


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


 The maximum relative error of     0.1299E-14 =    2 ** -49.45
    occurred for X = 0.132698E+02
 The estimated loss of base   2 significant digits is   3.55


 The root mean square relative error was     0.3801E-15 =    2 ** -51.22
 The estimated loss of base   2 significant digits is   1.78


1Test of I1(X) vs Taylor series


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


 I1(X) was larger   670 times,
           agreed   681 times, and
      was smaller   649 times.


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


 The maximum relative error of     0.1034E-14 =    2 ** -49.78
    occurred for X = 0.150301E+02
 The estimated loss of base   2 significant digits is   3.22


 The root mean square relative error was     0.1820E-15 =    2 ** -52.29
 The estimated loss of base   2 significant digits is   0.71


1Special Tests


 Test with extreme arguments

 I1(XMIN) =  0.11125369292536004-307

 I1(0) =  0.00000000000000000E+00

 I1(-0.50957590341567993E+00 ) = -0.26314793673170515E+00

 I1( 0.50957590341567993E+00 ) =  0.26314793673170515E+00

 E**-X * I1(XMAX) =  0.29754474593158999-154

 Tests near the largest argument for unscaled functions

 I1( 0.69235162141875754E+03 ) =  0.73282458365806544+299

 I1( 0.73629972238772163E+03 ) =  0.17900000000000000+309

 This concludes the tests.
