On 10/14/07, Jonathan Bober <[EMAIL PROTECTED]> wrote:
> On Sun, 2007-10-14 at 15:13 -0700, William Stein wrote:
> > On 10/14/07, Jonathan Bober <[EMAIL PROTECTED]> wrote:
> > >
> > > I'm not sure right now, but I'm thinking about it.
> >
> > OK, your new code on x86_64 gets essentially every single
> > number_of_partitions(n) wrong for 242 <= n <= 2833, and
> > seems right for everything else.
> >
>
> I think that the fix (for x86_64) should be to add the following code
> around line 462, right at the beginning of the function
> compute_current_precision().
>
>     // n = the number for which we are computing p(n)
>     // N = the number of terms that have been computed so far
>
>     // if N is 0, then we can't use the above formula (because we would be
>     // dividing by 0).
>     if(N == 0) return compute_initial_precision(n) + extra;
>
> It is actually odd that I am getting the correct answer on my (x86_32)
> laptop.

This completely fixes things on x86_64.

It does not fix things on ppc.  However, your suggestion
to set

long_double_precision = double_precision

*does* work.

So we may be all set now.  Thanks!

> This might also affect powerpc, but should only matter for small input.
> For large input, disabling long doubles might help, but I'm not sure.
> (The previous version of this code used long doubles as well, but the
> original version did not.)
>
> Also, for small input this algorithm might not be the best option (and
> my code certainly is not optimized for small input), so it might
> actually be better to use Pari if the sage --> pari --> sage conversion
> is fast enough.
>
>
> >
>


-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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