On Fri, Dec 4, 2009 at 11:50 AM, Sebastian Pop <seb...@gmail.com> wrote:
> On Fri, Dec 4, 2009 at 10:39, Tobias Grosser <gros...@fim.uni-passau.de> 
> wrote:
>> I do not believe this is already possible for arbitrary N.
>>
>> You would have to write a scattering function like this
>>
>> s0 = i+n*(j-1)
>>
>> What is
>>
>> s= i + n*j - n
>>       ^^^  Here is a product that is not affine linear.
>
> Yes this is affine linear, but not representable in the current way we
> deal with parameters in the polyhedral model...  Note that constant
> times IV would be allowed, and yes parameters are named constants.

We usually call this case (parameter times IV) "fully parametric".
Armin Grosslinger looked at it before finding a more general solution,
it's not easy and typically it leads to a massive versioning :-/...

>> There are extensions to the polytop model to make this possible, but
>> they are not close to be production ready.
>
> I think that we should revisit this independently of general solutions.
>
>> Just recently I Armin Groesslinger gave a nice talk about this
>> topic. If you want I can look for his work describing solutions.
>
> I also have discussed with Armin when I was visiting INRIA earlier
> this year, and I know what he's working on.
>
> Sebastian
>

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