#15820: Implement sequences of bounded integers
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       Reporter:  SimonKing                 |        Owner:
           Type:  enhancement               |       Status:  new
       Priority:  major                     |    Milestone:  sage-6.3
      Component:  algebra                   |   Resolution:
       Keywords:  sequence bounded integer  |    Merged in:
        Authors:                            |    Reviewers:
Report Upstream:  N/A                       |  Work issues:
         Branch:                            |       Commit:
   Dependencies:                            |     Stopgaps:
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Comment (by SimonKing):

 And here an example showing that it pays off, speed-wise:

 In a .pyx file:
 {{{
 cimport cython

 ctypedef fused str_or_int:
     str
     int

 cpdef str_or_int times_two(str_or_int var):
     if str_or_int is int:
         return var*2
     else:
         return var+var

 cpdef untyped_times_two(var):
     return var*2

 def test1():
     cdef int a = 3
     cdef str b = 'b'
     a = times_two(a)
     b = times_two(b)

 def test2():
     cdef int a = 3
     cdef str b = 'b'
     a = untyped_times_two(a)
     b = untyped_times_two(b)
 }}}
 Attach the .pyx file to Sage, and get this:
 {{{
 age: %attach /home/king/Sage/work/templates/test.pyx
 Compiling /home/king/Sage/work/templates/test.pyx...
 sage: %timeit test1()
 10000000 loops, best of 3: 164 ns per loop
 sage: %timeit test2()
 1000000 loops, best of 3: 264 ns per loop
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15820#comment:40>
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