#11402: add a cache on basis in free modules
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Reporter: hivert | Owner: hivert
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.7.1
Component: combinatorics | Keywords: FreeModules basis cache
Work_issues: | Upstream: N/A
Reviewer: | Author: Florent Hivert
Merged: | Dependencies:
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Let {{{FM}}} be a combinatorial free module currently creating elements
using the basis is very slow because the family is recreated each time:
{{{
sage: FM = CombinatorialFreeModule(QQ, ZZ)
sage: %timeit [FM.basis()[i] for i in range(100)]
5 loops, best of 3: 44.4 ms per loop
}}}
Adding a cache to {{{basis}}} gives a large speedup
{{{
sage: FM = CombinatorialFreeModule(QQ, ZZ)
sage: %timeit [FM.basis()[i] for i in range(100)]
125 loops, best of 3: 3.45 ms per loop
}}}
The speedup will be even larger with Simon King optimization on
cache_methods.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11402>
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