#14846: CycleIndexSeries derivative, integral, exponential methods are not
combinatorial
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Reporter: agd | Owner: agd
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.1
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: Andrew Gainer- | Reviewers: mantepse
Dewar | Work issues: documentation
Report Upstream: N/A | Commit:
Branch: u/agd/cis/deriv | dd77e4ae6388bd8ad52d7f6a13848fe6490b25d2
Dependencies: | Stopgaps:
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Comment (by agd):
Thanks for the suggestions!
Replying to [comment:14 mantepse]:
> I'd suggest to really remove access to the three inherited methods, and
rewrite the methods that use _lps_exponential accordingly:
Sounds good to me. Done, in the latest push.
> * in set_species, we really want to return the "true" exponential cycle
index series
> * in partition_species, the "true" exponential of the "true" exponential
- 1
> * in subset_species, the square of the "true" exponential
I have rewritten all of these to use algebraic operations on the
exponential CIS.
> As far as I can see, the other two methods _lps_derivative and
_lps_integral are not used anywhere.
Seems to be true. I just included them for completeness. They're gone now.
> This might have a speed penalty, but I'd worry about that only if it's
serious. I think it's not a good idea to make the cycle index series
depend on the species code, as in the proposed patch.
Actually, I think the new way should actually be *faster*, there's just
one instance of the exponential series which gets cached and handed
around.
> I would perhaps also put the definition for the combinatorial logarithm
into the same file.
Once I wrote the other stuff, this seemed very reasonable, so I've done
that as well.
--
Ticket URL: <http://trac.sagemath.org/ticket/14846#comment:16>
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