#15625: Refactor Lucas sequence code
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       Reporter:  jpflori           |        Owner:
           Type:  enhancement       |       Status:  new
       Priority:  major             |    Milestone:  sage-6.1
      Component:  basic arithmetic  |   Resolution:
       Keywords:  lucas sequence    |    Merged in:
        Authors:                    |    Reviewers:
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:                    |     Stopgaps:
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Comment (by tscrim):

 1) was partially done in #11802 where `slow_lucas()` was deprecated for
 (the more general) `BinaryRecurrenceSequence`. (`fast_lucas()` is
 [deprecated and] now called `lucas_q1()`).

 However something else that might be useful is a class attribute in
 `BinaryRecurrenceSequence` called `lucas()` or `lucas_sequence()`, which
 takes the usual Lucas sequence input and converts it into the appropriate
 `BinaryRecurrenceSequence` input.

 +1 for 3) with perhaps a minor variation: call the argument something like
 `mod` which takes an integer or `None` and creates the corresponding ring.

 Overall I think what's best is one function which has the `algorithm` and
 `mod` arguments and possibly redirects to these subroutines depending upon
 the input.

 Best,[[BR]]
 Travis

--
Ticket URL: <http://trac.sagemath.org/ticket/15625#comment:1>
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