#16953: Faster enumeration of points for toric varieties
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       Reporter:  vbraun             |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.4
      Component:  algebraic          |   Resolution:
  geometry                           |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Volker Braun       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  49a72410a19784c05c9fe320e28382df7e5b7338
  u/vbraun/faster_enumeration        |     Stopgaps:
   Dependencies:                     |
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Comment (by vbraun):

 Replying to [comment:17 vdelecroix]:
 > Then there is `cartesian_product_iterator`.

 How about you discuss what to do with cartesian products on #18411?

 > What about all your useless `cached_method`?

 They give names to quantities. Its true that you can replace the
 multiplicative order with q-1 everywhere, but it is not true that q-1 in a
 formula always refers to the order. Giving names to quantities makes code
 more readable as it explains the "why". And I'm using the general pattern
 of caching frequently-accessed methods, an extra `cached_method` has no
 performance impact but a forgotten `cached_method` can be very bad. Also,
 why should you have to read the finite fields implementation just to
 decide whether to cache something in this module?

--
Ticket URL: <http://trac.sagemath.org/ticket/16953#comment:18>
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