#10134: Provide the enumeration of word morphisms from a range of integers
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Reporter: slabbe | Owner: slabbe
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.6
Component: combinatorics | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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The method `iter_morphisms` may iterate through all morphisms (infinite
iterator) or through all morphisms having particular lengths for the image
of each letter. Recently, I needed something in the middle, that is, a
finite iterator that behaves like the infinite one. Thus, I added a new
possible type for the argument (tuple) which specifies a range for the sum
of the lengths of the images. Here is an example:
{{{
sage: W = Words('ab')
sage: for m in W.iter_morphisms( (2, 4) ): print m
WordMorphism: a->a, b->a
WordMorphism: a->a, b->b
WordMorphism: a->b, b->a
WordMorphism: a->b, b->b
WordMorphism: a->aa, b->a
WordMorphism: a->aa, b->b
WordMorphism: a->ab, b->a
WordMorphism: a->ab, b->b
WordMorphism: a->ba, b->a
WordMorphism: a->ba, b->b
WordMorphism: a->bb, b->a
WordMorphism: a->bb, b->b
WordMorphism: a->a, b->aa
WordMorphism: a->a, b->ab
WordMorphism: a->a, b->ba
WordMorphism: a->a, b->bb
WordMorphism: a->b, b->aa
WordMorphism: a->b, b->ab
WordMorphism: a->b, b->ba
WordMorphism: a->b, b->bb
}}}
Patch to be posted soon.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10134>
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