#7543: Add S-adic to the word generator
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Reporter: slabbe | Owner: slabbe
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-4.3.1
Component: combinatorics | Keywords:
Work_issues: | Author:
Upstream: N/A | Reviewer: Vincent Delecroix
Merged: |
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Changes (by vdelecroix):
* reviewer: => Vincent Delecroix
Old description:
> The definition of S-adiques words is found here :
>
> [https://www.lirmm.fr/arith/wiki/PytheasFogg/S-adiques Pytheas S-adiques]
>
> This patch adds S-adiques to the word generator :
>
> {{{
> sage: tm = WordMorphism('a->ab,b->ba')
> sage: fib = WordMorphism('a->ab,b->a')
> sage: from itertools import repeat
>
> One trivial example of infinite s-adique word::
>
> sage: words.s_adique(repeat(tm),repeat('a'))
> word: abbabaabbaababbabaababbaabbabaabbaababba...
>
> A less trivial infinite s-adique word::
>
> sage: m = WordMorphism({0:tm,1:fib})
> sage: tmword = words.ThueMorseWord()
> sage: w = m(tmword)
> sage: words.s_adique(w, repeat('a'))
> word: abbaababbaabbaabbaababbaababbaabbaababba...
>
> Random infinite s-adique words::
>
> sage: from sage.misc.prandom import randint
> sage: def it():
> ... while True: yield randint(0,1)
> sage: words.s_adique(it(), repeat('a'), [tm,fib])
> word: abbaabababbaababbaabbaababbaabababbaabba...
> sage: words.s_adique(it(), repeat('a'), [tm,fib])
> }}}
>
> See the patch for more examples.
New description:
The definition of S-adic words is found here :
[https://www.lirmm.fr/arith/wiki/PytheasFogg/S-adiques Pytheas S-adiques]
This patch adds S-adic to the word generator :
{{{
sage: tm = WordMorphism('a->ab,b->ba')
sage: fib = WordMorphism('a->ab,b->a')
sage: from itertools import repeat
One trivial example of infinite s-adic word::
sage: words.s_adic(repeat(tm),repeat('a'))
word: abbabaabbaababbabaababbaabbabaabbaababba...
A less trivial infinite s-adic word::
sage: m = WordMorphism({0:tm,1:fib})
sage: tmword = words.ThueMorseWord()
sage: w = m(tmword)
sage: words.s_adic(w, repeat('a'))
word: abbaababbaabbaabbaababbaababbaabbaababba...
Random infinite s-adic words::
sage: from sage.misc.prandom import randint
sage: def it():
... while True: yield randint(0,1)
sage: words.s_adic(it(), repeat('a'), [tm,fib])
word: abbaabababbaababbaabbaababbaabababbaabba...
sage: words.s_adic(it(), repeat('a'), [tm,fib])
}}}
See the patch for more examples.
--
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7543#comment:5>
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