#7543: Add S-adiques to the word generator
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Reporter: slabbe | Owner: slabbe
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.3.1
Component: combinatorics | Keywords:
Work_issues: | Author:
Upstream: N/A | Reviewer:
Merged: |
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Comment(by slabbe):
I just uploaded the patch. Some more examples. Better doc. The morphisms
arguments can now be a callable so that the following works:
{{{
sage: x = lambda h:WordMorphism({1:[2],2:[3]+[1]*(h+1),3:[3]+[1]*h})
sage: for h in [0,1,2,3]: print h, x(h)
0 WordMorphism: 1->2, 2->31, 3->3
1 WordMorphism: 1->2, 2->311, 3->31
2 WordMorphism: 1->2, 2->3111, 3->311
3 WordMorphism: 1->2, 2->31111, 3->3111
sage: w = Word(lambda n : valuation(n+1, 2) ); w
word: 0102010301020104010201030102010501020103...
sage: s = words.s_adique(w, repeat(3), x); s
word: 3232232232322322322323223223232232232232...
sage: prefixe = s[:10000]
sage: map(prefixe.number_of_factors, range(15))
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]
sage: [_[i+1] - _[i] for i in range(len(_)-1)]
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7543#comment:3>
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