Mail Archives: djgpp-workers/1999/06/10/17:47:42
Eric Rudd wrote:
>
> Eli Zaretskii wrote:
>
> > On Wed, 9 Jun 1999, Martin Stromberg wrote:
> >
> > > _If_ lim(x^0) = 1, then I would say 0^0 should be defined as 1,
> > > x->0-
> >
> > Perhaps it would be a good idea to see what other libraries do in that
> > case.
>
> Borland C++ v3.1: pow(0,0) = 1, domain error
> Watcom C++ v10.0: pow(0,0) = 1, domain error, "argument too large" [?]
> Microsoft C++: pow(0,0) = 1, no error return
> Linux gcc: pow(0,0) = 1, no error return
> hp 15C calculator: Error 0
> Matlab: 0^0 = 1, no error return
> Formal mathematics: limit is undefined
>
> -Eric Rudd
IRIX 5.3 (cc): pow(0,0) = 1.000000, errno = 0 (Error 0) [i.e. no error]
SunOS 5.6 (gcc): pow(0,0) = 1.000000, errno = 0 (Error 0)
HP 48G calculator: 1
Sharp EL-531L calculator: Error 2
HP 32S calculator: "Invalid y^x"
IMHO, we should define 0^0 = 1 since that's what the ANSI amendment or
whatever it was says. It seems likely to be approved. Furthermore, I
don't feel that ANSI is totally off the wall on this (unlike, perhaps,
their views on trigraphs). There certainly seems to be some
mathematical justification and support for 0^0=1, as for instance in the
FAQ I mentioned.
--
Nate Eldredge
nate AT cartsys DOT com
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