#20445: Iteration through finite Coxeter groups
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Reporter: | Owner:
stumpc5 | Status: new
Type: | Milestone: sage-7.2
enhancement | Resolution:
Priority: major | Merged in:
Component: | Reviewers:
combinatorics | Work issues:
Keywords: | Commit:
Authors: | e7eb93cc439710460b9be384cfb47ae63188d5c7
Report Upstream: N/A | Stopgaps:
Branch: |
u/stumpc5/20445 |
Dependencies: |
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Comment (by stumpc5):
sage: timeit("for w in W.iteration('depth',False): pass",number=5)
5 loops, best of 3: 6.33 s per loop
sage: timeit("for w in parabolic_iteration(W): pass",number=5)
5 loops, best of 3: 4.28 s per loop
Okay, I can now get down quite a bit from our last weeks algorithm.
Drawback is that it needs quite some memory (for E8, we have to keep E7 in
memory). I provide an alternative in which order the parabolic is
computed, but that doesn't seem to speed the computation.
* If @tscrim looks at the code and improves it further, we might beat the
5 minutes for E8!
* The code can also perfectly be paralellized!
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Ticket URL: <http://trac.sagemath.org/ticket/20445#comment:10>
Sage <http://www.sagemath.org>
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