#6627: [with patch, needs review] fix lyndon and standard factorization of words
---------------------------+------------------------------------------------
Reporter: saliola | Owner: saliola
Type: defect | Status: new
Priority: major | Milestone: sage-combinat
Component: combinatorics | Keywords:
Reviewer: | Author:
Merged: |
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Comment(by saliola):
This new implementation is correct and also faster.
{{{
sage: sage: Word([1,2,1,3,1,2,1]).lyndon_factorization()
(1213, 12, 1)
sage: sage: Words('01')('').lyndon_factorization()
()
sage: sage: sage: Word([3,2,1]).standard_factorization()
(32, 1)
sage: sage: Words('123')('').standard_factorization()
()
}}}
I also changed the repr of the (word) Factorization class to use ','
instead of '.' because otherwise the period is confusing if you factor a
long word:
{{{
sage: WordOptions(truncate_length=10)
sage: tm = words.ThueMorseWord()
sage: tm[:100].lyndon_factorization()
(011, 01, 0011, 00101101, 0010110011..., 0010110011..., 0010110011...,
0010110011, 0)
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6627#comment:1>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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