On 6/22/07, Gonzalo Tornaria <[EMAIL PROTECTED]> wrote:
> I'm just working on "fixing the old model", i.e. correctly implement
> some base extension stuff with recursion that fixes at least 90% of
> the examples which were broken.
>
> Additionally, I'm not touching any of the has_coerce_map_from() and
> _coerce_() stuff at all, my new code uses these to decide on things,
> so improvements on those will be useful.

Robert B -- are you working on this, i.e., _coerce_ and
has_coerce_map_from, etc.?  My impression is that it would be *very*
good if somebody did.  I would love to work on it, but I don't have
time now, since I spent all my time on the notebook, and I'll be
teaching the next two weeks.    You had numerous very good ideas
about improving _coerce_impl last time we talked...

 -- William


> I'm not using change_ring() at all. base_extend() is very well
> defined. My new functions, for lack of a better name, are:
>
>  - base_extend_recursive()  do a base_extend() but recursively try to
> extend inside (e.g. Z[x][y] extends by Q by a base_extend() of its
> base() )
>
>  - base_extend_canonical() does a base_extend_recursive() but only if
> it is canonical; effectively it means that it also tries
> base_extend_recursive() in the opposite direction and it fails if that
> one succeeds.
>
> Gonzalo
>
>
> On 6/21/07, Robert Bradshaw <[EMAIL PROTECTED]> wrote:
> >
> > I've started working on the new model for coercion too. I believe
> > base extension was only one of the many functors that was going to be
> > implemented.
> >
> > A note on your code, base_extends() is always supposed to be
> > canonical. change_ring() is for possibly non-canonical "base-
> > extensions," so I'm not sure why you have the two separate functions.
> >
> > If there was any more development the last couple days of SD4, could
> > someone update the wiki? I added a diagram of the current rules for a
> > small group of rings.
> >
> > - Robert
> >
> > On Jun 19, 2007, at 9:03 PM, Gonzalo Tornaria wrote:
> >
> > > Here is a prototype for the tricky part of the coercion (recursive
> > > base extension).
> > > It seems to catch all the examples I came up with. Please test, and
> > > add more examples if needed. I will be rewriting this in py
> > >
> > > Note that this doesn't work for multivariate polynomials (the tests
> > > use recursive univariate polys), but it should work as soon as
> > > canonical coercions from ZZ[x] to ZZ[x,y] are implemented and
> > > ZZ[x,y].has_coerce_map_from(ZZ[x]) returns true.
> > >
> > > I've also got bin_op_c mostly worked out for add/sub/mul/div, this
> > > recursive base extend is a requirement, so I'll be having a patch
> > > soon. The patch essentially adds a step of trying recursive base
> > > extension in both directions, and use the result if exactly one of the
> > > two work. There is some other stuff with division as well (try
> > > "ZZ[x](x) / Mod(2,5)" to see what I mean), but I think I also have
> > > this sorted out.
> > >
> > > Best, Gonzalo
> > >
> > > >
> > > <bext.py>
> >
> >
> > >
> >
>
> >
>


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

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