#15820: Implement sequences of bounded integers
--------------------------------------------+------------------------
       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):

 Or perhaps a better example, showing that the fused type is used to choose
 code at compile time: Put the following into a cell of the notebook
 {{{
 %cython
 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
 def test():
     cdef int a = 3
     cdef str b = 'b'
     a = times_two(a)
     b = times_two(b)
 }}}
 and look at the resulting code. The line `a = times_two(a)` becomes
 {{{
  __pyx_v_a =
 
__pyx_fuse_1__pyx_f_68_home_king__sage_sage_notebook_sagenb_home_admin_2_code_sage4_spyx_0_times_two(__pyx_v_a,
 0);
 }}}
 whereas `b = times_two(b)` becomes
 {{{
 __pyx_t_1 =
 
__pyx_fuse_0__pyx_f_68_home_king__sage_sage_notebook_sagenb_home_admin_2_code_sage4_spyx_0_times_two(__pyx_v_b,
 0);
 }}}
 and one can check that Cython created two different C-functions
 `__pyx_fuse_0...` and `__pyx_fuse_1...` for the two possible (type-
 dependent!) versions of `times_two`.

--
Ticket URL: <http://trac.sagemath.org/ticket/15820#comment:39>
Sage <http://www.sagemath.org>
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