#16683: fast gray code for integer vectors
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       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/16683                 |  9d90d4873303b1e91ef6bbcaf3fe7250dff38d3c
   Dependencies:                     |     Stopgaps:
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Comment (by vdelecroix):

 Hi Nathan,

 Thanks for having a look!

 For 1), what do you mean? There are plenty of `int *`. Actually I do not
 care at this stuff as a Cython class. With enough motivation I would write
 a pure C file. In concrete situation I have in mind, this will mostly be
 call through `set_next_switch` which gives me a pair of integers
 `(pos,incr)`.

 For 2), I guess that the answer is no. The objective is '''not''' to
 iterate naively over integer vectors but to use it where the datastructure
 is complicated or huge and you want to minimize the number of changes
 (using the lexicographic enumeration would be a nightmare as you need to
 care about which entries did change). A concrete examples is given by
 echelon matrices:
  - you enumerate pivots (shoud be a gray code to)
  - for choice of pivots you iterate over all possibilities for certain
 entries. For that step, changing one entry at a time instead of all of
 them is definitely a gain!

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/16683#comment:3>
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