#9540: Testing whether a Gaussian integer is in ZZ is extremely slow
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   Reporter:  fredrik.johansson  |       Owner:  AlexGhitza
       Type:  defect             |      Status:  new       
   Priority:  major              |   Milestone:            
  Component:  basic arithmetic   |    Keywords:            
     Author:                     |    Upstream:  N/A       
   Reviewer:                     |      Merged:            
Work_issues:                     |  
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 {{{
 sage: x = 5
 sage: y = 3/5
 sage: z = (5+I).pyobject()
 sage: z.parent()
 Number Field in I with defining polynomial x^2 + 1
 sage: %timeit x in ZZ
 625 loops, best of 3: 103 ns per loop
 sage: %timeit y in ZZ
 625 loops, best of 3: 7.19 µs per loop
 sage: %timeit z in ZZ
 625 loops, best of 3: 381 µs per loop

 }}}

 By extension, this massively affects performance of the ._is_integer()
 method for symbolic expressions containing complex numbers.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9540>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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