#20561: Return cycle type of a permutation
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       Reporter:  andrew.mathas      |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.2
      Component:  group theory       |   Resolution:
       Keywords:  permutation,       |    Merged in:
  cycle type                         |    Reviewers:
        Authors:  Andrew Mathas      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  b9acb7729e678ee46ef6db66a694c3040db830d0
  u/andrew.mathas/return_cycle_type_of_a_permutation|     Stopgaps:
   Dependencies:                     |
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Changes (by andrew.mathas):

 * status:  needs_work => needs_review


Comment:

 Replying to [comment:5 vdelecroix]:
 > Hello,
 >
 > You would better use the option `reverse` of `sort` rather than sorting
 and inversing.
 >
 > Sided remark: returning a Partition is very costly. Most of the time
 will be spent in the actual construction of the Partition from the given
 list.

 I have addressed both of these points: the `reverse=True` is now used and
 a list is returned.

 > On the other hand, constructing the actual cycle tuples to count their
 length is not optimal... I would rather implement it from scratch.

 I have not changed this as this seems to be unnecessary code duplication.
 I have not delved into the cycle code deeply but it seems to me that to
 extract this information you would essentially rewrite much of the cython
 code in `cycle_tuples`.

--
Ticket URL: <http://trac.sagemath.org/ticket/20561#comment:7>
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