#8268: Improve speed of Christoffel word construction
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Reporter: slabbe | Owner: slabbe
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.3.3
Component: combinatorics | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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This patch adds a new implementation for construction of Christoffel words
using continued fraction :
{{{
sage: %timeit words.ChristoffelWord(5, 9, algorithm='linear')
625 loops, best of 3: 67.7 µs per loop
sage: %timeit words.ChristoffelWord(5, 9, algorithm='cf')
625 loops, best of 3: 309 µs per loop
}}}
For large words, it is much faster than the actual implementation.
{{{
sage: %timeit words.ChristoffelWord(500, 90001, algorithm='linear')
5 loops, best of 3: 111 ms per loop
sage: %timeit words.ChristoffelWord(500, 90001, algorithm='cf')
125 loops, best of 3: 4 ms per loop
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8268>
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