1Test of I1(X) vs Multiplication Theorem


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


 I1(X) was larger   678 times,
           agreed   716 times, and
      was smaller   606 times.


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


 The maximum relative error of     0.3272E-06 =    2 ** -21.54
    occurred for X = 0.973039E+00
 The estimated loss of base   2 significant digits is   2.46


 The root mean square relative error was     0.9511E-07 =    2 ** -23.33
 The estimated loss of base   2 significant digits is   0.67


1Test of I1(X) vs Taylor series


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


 I1(X) was larger   702 times,
           agreed   590 times, and
      was smaller   708 times.


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


 The maximum relative error of     0.4188E-06 =    2 ** -21.19
    occurred for X = 0.716505E+01
 The estimated loss of base   2 significant digits is   2.81


 The root mean square relative error was     0.1176E-06 =    2 ** -23.02
 The estimated loss of base   2 significant digits is   0.98


1Test of I1(X) vs Taylor series


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


 I1(X) was larger   821 times,
           agreed   325 times, and
      was smaller   854 times.


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


 The maximum relative error of     0.7551E-06 =    2 ** -20.34
    occurred for X = 0.148713E+02
 The estimated loss of base   2 significant digits is   3.66


 The root mean square relative error was     0.2102E-06 =    2 ** -22.18
 The estimated loss of base   2 significant digits is   1.82


1Test of I1(X) vs Taylor series


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


 I1(X) was larger   679 times,
           agreed   573 times, and
      was smaller   748 times.


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


 The maximum relative error of     0.3676E-06 =    2 ** -21.38
    occurred for X = 0.278088E+02
 The estimated loss of base   2 significant digits is   2.62


 The root mean square relative error was     0.1175E-06 =    2 ** -23.02
 The estimated loss of base   2 significant digits is   0.98


1Special Tests


 Test with extreme arguments

 I1(XMIN) =  0.58774717541114380E-38

 I1(0) =  0.00000000000000000E+00

 I1(-0.50957590341567993E+00 ) = -0.26314795017242431E+00

 I1( 0.50957590341567993E+00 ) =  0.26314795017242431E+00

 E**-X * I1(XMAX) =  0.21626706585445667E-19

 Tests near the largest argument for unscaled functions

 I1( 0.89121215820312507E+02 ) =  0.21327209763660976E+38

 I1( 0.94778320312499992E+02 ) =  0.33999999521443640E+39

 This concludes the tests.
