#20166: Implement non-recursive iterator for (weighted) integer vectors
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone: sage-7.1
Component: combinatorics | Keywords:
Merged in: | Authors: Travis Scrimshaw
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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By implementing a non-recursive iterator, we avoid some overhead. With
this branch, we get the following:
{{{
sage: I = IntegerVectors(12,7)
sage: %timeit list(I.__iter__())
10 loops, best of 3: 20.8 ms per loop
sage: I = WeightedIntegerVectors(12, [4,1,2,2])
sage: %timeit list(I.__iter__())
1000 loops, best of 3: 291 µs per loop
sage: I = WeightedIntegerVectors(12, [2,1,1,2])
sage: %timeit list(I.__iter__())
1000 loops, best of 3: 556 µs per loop
sage: I = WeightedIntegerVectors(17, [2,1,1,2,1,1,2])
sage: %timeit list(I.__iter__())
10 loops, best of 3: 56.4 ms per loop
sage: I = WeightedIntegerVectors(26, [2,1,1,2,1,1,2])
sage: %timeit list(I.__iter__())
1 loop, best of 3: 443 ms per loop
}}}
versus the current version:
{{{
sage: I = IntegerVectors(12,7)
sage: %timeit list(I.__iter__())
10 loops, best of 3: 50.3 ms per loop
sage: %timeit list(I.__iter__())
The slowest run took 8.13 times longer than the fastest. This could mean
that an intermediate result is being cached.
1000 loops, best of 3: 301 µs per loop
sage: I = WeightedIntegerVectors(12, [2,1,1,2])
sage: %timeit list(I.__iter__())
1000 loops, best of 3: 554 µs per loop
sage: I = WeightedIntegerVectors(17, [2,1,1,2,1,1,2])
sage: %timeit list(I.__iter__())
10 loops, best of 3: 68.1 ms per loop
sage: I = WeightedIntegerVectors(26, [2,1,1,2,1,1,2])
sage: %timeit list(I.__iter__())
1 loop , best of 3: 528 ms per loop
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/20166>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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