#7949: Bit-shifts in Z/(n)
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   Reporter:  spancratz         |       Owner:  spancratz                  
       Type:  defect            |      Status:  new                        
   Priority:  minor             |   Milestone:  sage-4.3.1                 
  Component:  basic arithmetic  |    Keywords:  bit shift, integer mod ring
Work_issues:                    |      Author:  spancratz                  
   Upstream:  N/A               |    Reviewer:                             
     Merged:                    |  
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Comment(by spancratz):

 For each of the three types for moduli (32-bit, 64-bit, mpz_t), the patch
 provides a method ``shift``, which in turns is called by the methods
 ``__lshift__`` and ``__rshift__``.

 Finally, in the previous code the doctests with modulus `2^{31}-1` did not
 test any of the 64-bit code because of code in the method ``def
 __init__(NativeIntStruct self, sage.rings.integer.Integer z)`` in the file
 ``integer_mod.pyx``.  There, a comparisons were carried out with ``<``
 rather than ``<=``, which this patch changes, too.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7949#comment:2>
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