1Test of K1(X) vs Multiplication Theorem


   1982 random arguments were tested from the interval (  0.0,  1.0)


 ABS(K1(X)) was larger   703 times,
                     agreed   672 times, and
                was smaller   607 times.


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


 The maximum relative error of     0.4846E-06 =    2 ** -20.98
    occurred for X = 0.987436E+00
 The estimated loss of base   2 significant digits is   3.02


 The root mean square relative error was     0.1061E-06 =    2 ** -23.17
 The estimated loss of base   2 significant digits is   0.83


1Test of K1(X) vs Multiplication Theorem


   2000 random arguments were tested from the interval (  1.0,  8.0)


 ABS(K1(X)) was larger   756 times,
                     agreed   431 times, and
                was smaller   813 times.


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


 The maximum relative error of     0.5050E-06 =    2 ** -20.92
    occurred for X = 0.471926E+01
 The estimated loss of base   2 significant digits is   3.08


 The root mean square relative error was     0.1481E-06 =    2 ** -22.69
 The estimated loss of base   2 significant digits is   1.31


1Test of K1(X) vs Multiplication Theorem


   2000 random arguments were tested from the interval (  8.0, 20.0)


 ABS(K1(X)) was larger   813 times,
                     agreed   546 times, and
                was smaller   641 times.


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


 The maximum absolute error of     0.5701E-06 =    2 ** -20.74
    occurred for X = 0.115701E+02
 The estimated loss of base   2 significant digits is   3.26


 The root mean square absolute error was     0.1318E-06 =    2 ** -22.85
 The estimated loss of base   2 significant digits is   1.15


1Special Tests




 Test with extreme arguments

 K1(XLEAST) =  0.84745768940432135E+38

 K1(XMIN) =  0.33999999521443640E+39

 K1(0) =  0.33999999521443640E+39

 K1(-0.76665896177291870E+00 ) =  0.33999999521443640E+39

 E**X * K1(XMAX) =  0.67942301994329961E-19

 K1( 0.80009407043457034E+02 ) =  0.25169139192576532E-35

 K1( 0.96011291503906246E+02 ) =  0.00000000000000000E+00

