#16269: Cartesian Products of additive groups
-------------------------------------+-------------------------------------
       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  positive_review
       Priority:  major              |    Milestone:  sage-6.2
      Component:  categories         |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Nathann Cohen,     |    Reviewers:  Nathann Cohen,
  Nicolas M. Thiéry                  |  Nicolas M. Thiéry
Report Upstream:  N/A                |  Work issues:
         Branch:  u/nthiery/16269    |       Commit:
   Dependencies:  #16280             |  0a54b68c242cc6541108b709170c35b3a79515b8
                                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by nthiery):

 Hi,

 I fixed `_cartesian_product_of_elements` to bypass `_element_constructor`
 and other checks, and documented it. Here is the timing difference:
 {{{
 sage: S1 = Sets().example()
 sage: S2 = InfiniteEnumeratedSets().example()
 sage: C = cartesian_product([S2, S1, S2])
 sage: l = tuple([S2.an_element(), S1.an_element(), S2.an_element()])
 }}}
 Without the optimization:
 {{{
 sage: %timeit C._cartesian_product_of_elements(l)
 10000 loops, best of 3: 22 µs per loop
 }}}
 With the optimization:
 {{{
 sage: %timeit C._cartesian_product_of_elements(lt)
 1000000 loops, best of 3: 922 ns per loop
 }}}

 If you are fine including this in this ticket, please change the branch to
 `u/nthiery/16269-optimized`. Otherwise, I'll move this commit to a follow
 up ticket.

 For the record: the tests pass on the cartesian_product.py file. Running
 all long tests now to be sure.

 Cheers,
                                    Nicolas

--
Ticket URL: <http://trac.sagemath.org/ticket/16269#comment:39>
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