#6812: Enumerate integer vectors modulo to the action of a Permutation Group
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Reporter: nborie |
Owner: nborie
Type: enhancement |
Status: needs_review
Priority: major |
Milestone: sage-5.1
Component: combinatorics |
Resolution:
Keywords: enumeration, integer, list, permutation, group | Work
issues: long time tests, information about listing infinite sets
Report Upstream: N/A |
Reviewers: Karl-Dieter Crisman, Simon King
Authors: Nicolas Borie | Merged
in:
Dependencies: |
Stopgaps:
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Comment (by SimonKing):
Without patch
{{{
sage: G = TransitiveGroup(21,38)
sage: S = IntegerVectorsModPermutationGroup(G, max_part=1)
sage: %time S._cardinality_from_iterator()
CPU times: user 54.56 s, sys: 0.02 s, total: 54.58 s
Wall time: 54.64 s
1044
}}}
With patch
{{{
sage: G = TransitiveGroup(21,38)
sage: S = IntegerVectorsModPermutationGroup(G, max_part=1)
sage: %time S._cardinality_from_iterator()
CPU times: user 9.36 s, sys: 0.01 s, total: 9.37 s
Wall time: 9.38 s
1044
}}}
So, yes, it scales well...
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6812#comment:85>
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