On Sun, Oct 4, 2009 at 11:09 PM, rjf <fate...@gmail.com> wrote:
> On Oct 4, 11:00 am, Ondrej Certik <ond...@certik.cz> wrote:
> <snip..>
>
>>
>> You (or anyone else) could have followed Fredrik's frequent and
>> detailed blogposts here:
>>
>> http://planet.sympy.org/
>
> I quote from a recent entry by Frederik:
>
> "
>
> The tests above use well-behaved object functions; some corner cases
> are likely fragile at this point. I also know, without having tried,
> that many other calculus functions utterly don't work in fixed
> precision (not by algorithm, nor by implementation). Some work will be
> needed to support them even partially. At minimum, several functions
> will have to be changed to use an epsilon of 10-5 or so since full
> 15-16-digit accuracy requires extra working precision which just isn't
> available.
>
> "
>
> So it seems that we can expect the programs to get the easy problems
> right, and the hard problems, maybe not.

Just for the record, that post is about something else entirely. I
took some code written for variable-precision arithmetic and ran it
using fixed-precision arithmetic. This works fine for some
well-behaved problems and doesn't work at all for others; not exactly
a surprise. I'm pointing out that, for use in fixed precision mode,
some of the algorithms originally designed for variable precision will
have to be modified or replaced.

Fredrik

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