1Test of K1(X) vs Multiplication Theorem


   2000 random arguments were tested from the interval (  0.0,  1.0)


 ABS(K1(X)) was larger   649 times,
                     agreed   685 times, and
                was smaller   666 times.


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


 The maximum relative error of     0.9039E-15 =    2 ** -49.97
    occurred for X = 0.988211E+00
 The estimated loss of base   2 significant digits is   3.03


 The root mean square relative error was     0.1845E-15 =    2 ** -52.27
 The estimated loss of base   2 significant digits is   0.73


1Test of K1(X) vs Multiplication Theorem


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


 ABS(K1(X)) was larger   737 times,
                     agreed   501 times, and
                was smaller   762 times.


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


 The maximum relative error of     0.9985E-15 =    2 ** -49.83
    occurred for X = 0.200482E+01
 The estimated loss of base   2 significant digits is   3.17


 The root mean square relative error was     0.2592E-15 =    2 ** -51.78
 The estimated loss of base   2 significant digits is   1.22


1Test of K1(X) vs Multiplication Theorem


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


 ABS(K1(X)) was larger   831 times,
                     agreed   528 times, and
                was smaller   641 times.


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


 The maximum absolute error of     0.8991E-15 =    2 ** -49.98
    occurred for X = 0.106493E+02
 The estimated loss of base   2 significant digits is   3.02


 The root mean square absolute error was     0.2380E-15 =    2 ** -51.90
 The estimated loss of base   2 significant digits is   1.10


1Special Tests




 Test with extreme arguments

 K1(XLEAST) =  0.44843049327354256+308

 K1(XMIN) =  0.17900000000000000+309

 K1(0) =  0.17900000000000000+309

 K1(-0.76665896177291870E+00 ) =  0.17900000000000000+309

 E**X * K1(XMAX) =  0.93476438793292455-154

 K1( 0.66125943635324322E+03 ) =  0.32121497573487909-288

 K1( 0.79351132362389193E+03 ) =  0.00000000000000000E+00

