Am Samstag, 13. August 2016 22:08:16 UTC+2 schrieb Waldek Hebisch:
>
> Martin R wrote: 
> > 
> > > I doubt that this is the case.  Just consider why would you call 
> FriCAS 
> > from sage for a computation?  I can only think of two reasons: 
> > 
> > 1) the functionality is not available in sage.  (quite unlikely, 
> meanwhile, 
> > although there are some bits)  
>
[snipped several examples]
>

Thank you for this wonderful list.  (that's exactly what I had in mind with 
"some bits")

 I think that the ore domain in FriCAS may also be stronger currently (sage 
is just about to get more here), guessing is the reason why I started all 
this, series expansion is also much better in FriCAS
 

> > 2) FriCAS is much faster.  In this case, you probably won't care about a 
> > second lost because of a slow interface. 
>
> It depends.  If you want to call routine thousends of times 
> per second than even if base routine is significantly faster 
> the effective speed may be lower due to interface overheads. 
>
> I am certainly not against a fast interface! (only against putting in more 
than a week myself)
So: if someone helps (as you did already), I'm all for it!

I am already very careful to write the "fricas to sage" translation part 
without parsing of strings.

However, in the case you sketch, I'd write a little FriCAS routine and 
fetch only the end result.

Martin

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