Error analysis of some system functions

This is the summary of the results run on Sun Sep 8 13:23:07 2002 on darwin2.ethz.ch

Hardware, operating system and compiling command

DEC Alpha, OSF1, cc -O4 -lm
function tests max err in ulps argument (max err) value (max err)
Gamma15751332.53404134.063437915652972.0287696276183775e+226
INV6530.500000.999999999999999891.0000000000000002
Pix7200.50000-0.40249991160122217-1.2644907653569408
acos13080.518530.878534741799997690.49801029020727455
acosh10331.896241.00782267782571070.12499999999999843
asin13440.54442-0.50053783679999964-0.5242199274601802
asinh10420.58440629.37967599999997.1378825047212562
atan8700.51270-3.1008624240000038-1.2588354688269643
atanh9930.541690.962390530999999721.9773314069607562
cos14180.6682248.694686130641792-3.6745593780786484e-15
cosh13310.50140-6.723689052000176415.94095557451544
erf12771.542510.653174660816437710.64437229150668851
erfc13182.500241.13174332164696230.10948177651485225
exp13330.501477.97514645250000152907.7836931111069
j0105312700630124934.47500-24.352471530749302-1.4795214268783392e-16
j110241276498969817541.5000029.046828534916855-4.9308544767599701e-17
lgamma14081611480202696265.00000-2.457024738220801-4.5796699765787707e-16
log11350.504480.9392673708999999-0.06265510026202803
log1012850.516600.9392673708999999-0.027210764306893766
pow2_x14670.50174-1019.44774834709321.3051148625743324e-307
powx_27510630.501301.3489462435438824e-1122.2776409815422032e-308
sin12570.5794437.6991118430775245.6358511986241785e-15
sinh8950.50292-0.47782513819999906-0.49621642915824565
sqrt10550.500004.00000000000000092
tan15960.50768-9.7184015070999834-0.30236329942292173
tanh7920.516830.196586753199999910.1940928447126862
y097653610894117217.5620035.346452305214321-2.3920994576257774e-17
y198741762958158186624.00000-2.2250738585072019e-308-1.7976931348623157e+308