#19345: Fast lexicographic iterator for module over ZZ/nZZ
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.10
Component: coding theory | Resolution:
Keywords: | Merged in:
Authors: Vincent Delecroix | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/vdelecroix/19345 | 5773c780ccd2b6084dff464da084df12ade378f0
Dependencies: #6452 | Stopgaps:
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Description changed by slelievre:
Old description:
> We implement a reasonably fast lexicographic iterator for modules over
> `ZZ/nZZ`. We integrate a `minimum_weight` method that could be used as an
> alternative to GAP in some part of `sage.codings`.
>
> Before
> {{{
> sage: R = IntegerModRing(6)
> sage: M = FreeModule(R, 4)
> sage: timeit('for u in M: pass')
> 25 loops, best of 3: 9.11 ms per loop
>
> sage: U = M.span([M((1,1,0,2)), M((2,2,3,0))])
> sage: timeit('for u in U: pass')
> 625 loops, best of 3: 641 µs per loop
> }}}
> After
> {{{
> sage: timeit('for u in M: pass')
> 625 loops, best of 3: 283 µs per loop
>
> sage: timeit('for u in U: pass')
> 625 loops, best of 3: 41.5 µs per loop
> }}}
New description:
We implement a reasonably fast lexicographic iterator for modules over
`ZZ/nZZ`. We integrate a `minimum_weight` method that could be used as an
alternative to GAP in some part of `sage.codings`.
Setup
{{{
sage: R = IntegerModRing(6)
sage: M = FreeModule(R, 4)
sage: U = M.span([M((1,1,0,2)), M((2,2,3,0))])
}}}
Before
{{{
sage: timeit('for u in M: pass')
25 loops, best of 3: 9.11 ms per loop
sage: timeit('for u in U: pass')
625 loops, best of 3: 641 µs per loop
}}}
After
{{{
sage: timeit('for u in M: pass')
625 loops, best of 3: 283 µs per loop
sage: timeit('for u in U: pass')
625 loops, best of 3: 41.5 µs per loop
}}}
--
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Ticket URL: <http://trac.sagemath.org/ticket/19345#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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