1Test of K0(X) vs Multiplication Theorem


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


 ABS(K0(X)) was larger   449 times,
                     agreed  1072 times, and
                was smaller   479 times.


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


 The maximum relative error of     0.6267E-15 =    2 ** -50.50
    occurred for X = 0.964732E+00
 The estimated loss of base   2 significant digits is   2.50


 The root mean square relative error was     0.1310E-15 =    2 ** -52.76
 The estimated loss of base   2 significant digits is   0.24


1Test of K0(X) vs Multiplication Theorem


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


 ABS(K0(X)) was larger   792 times,
                     agreed   497 times, and
                was smaller   711 times.


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


 The maximum relative error of     0.9296E-15 =    2 ** -49.93
    occurred for X = 0.462115E+01
 The estimated loss of base   2 significant digits is   3.07


 The root mean square relative error was     0.2628E-15 =    2 ** -51.76
 The estimated loss of base   2 significant digits is   1.24


1Test of K0(X) vs Multiplication Theorem


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


 ABS(K0(X)) was larger   681 times,
                     agreed   489 times, and
                was smaller   830 times.


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


 The maximum absolute error of     0.1061E-14 =    2 ** -49.74
    occurred for X = 0.194837E+02
 The estimated loss of base   2 significant digits is   3.26


 The root mean square absolute error was     0.2383E-15 =    2 ** -51.90
 The estimated loss of base   2 significant digits is   1.10


1Special Tests




 Test with extreme arguments

 K0(XMIN) =  0.70851235004792245E+03

 K0(0) =  0.17900000000000000+309

 K0(-0.76665896177291870E+00 ) =  0.17900000000000000+309

 E**X * K0(XMAX) =  0.93476438793292455-154

 K0( 0.66125877272454944E+03 ) =  0.32118560786711753-288

 K0( 0.79351052726945932E+03 ) =  0.00000000000000000E+00

