#16296: Speed improvements for categories with axioms
-------------------------------------+-------------------------------------
       Reporter:  SimonKing          |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.3
      Component:  categories         |   Resolution:
       Keywords:  cython             |    Merged in:
  performance categories             |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  d42dc9c37015b51fac7a089654044dd132c75000
  u/SimonKing/ticket/16296           |     Stopgaps:
   Dependencies:  #10963, #15801     |
-------------------------------------+-------------------------------------

Comment (by SimonKing):

 Indeed:
 {{{
 #!python
 def test1(list L):
     cdef int i,j
     cdef int max_i = len(L)
     for i in range(max_i):
         if any(100 in L[j] for j in range(max_i) if j!=i):
             continue

 def test2(list L):
     cdef int i,j
     cdef int max_i = len(L)
     for i in range(max_i):
         if any(100 in <set>(L[j]) for j in range(max_i) if j!=i):
             continue

 cpdef test3(list L):
     cdef int i,j
     cdef int max_i = len(L)
     cdef bint cont
     for i in range(max_i):
         cont = False
         for j from 0<=j<i:
             if 100 in <set>(L[j]):
                 cont = True
                 break
         if cont:
             continue
         for j from i<j<max_i:
             if 100 in <set>(L[j]):
                 break
 }}}
 yields
 {{{
 sage: L = [set([randint(0,10000) for i in range(200)]) for j in
 range(200)]
 sage: %timeit test1(L)
 100 loops, best of 3: 2.5 ms per loop
 sage: %timeit test2(L)
 100 loops, best of 3: 2.5 ms per loop
 sage: %timeit test3(L)
 1000 loops, best of 3: 1.25 ms per loop
 }}}
 So, let's do it like this. I hope I am not mistaken that what is happening
 inside `test3()` is equivalent to the "any" clause in the other two
 functions.

--
Ticket URL: <http://trac.sagemath.org/ticket/16296#comment:13>
Sage <http://www.sagemath.org>
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