#13781: Doctests in rings/polynomial/polynomial_modn_dense_ntl.pyx test the 
wrong
implementation
-----------------------+----------------------------------------------------
   Reporter:  mjo      |             Owner:  AlexGhitza
       Type:  defect   |            Status:  new       
   Priority:  major    |         Milestone:  sage-5.6  
  Component:  algebra  |          Keywords:            
Work issues:           |   Report Upstream:  N/A       
  Reviewers:           |           Authors:            
  Merged in:           |      Dependencies:            
   Stopgaps:           |  
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 A common doctest in `polynomial_modn_dense_ntl.pyx` goes something like
 this:

 {{{
 sage: R.<x> = Integers(100)[]
 sage: (x + 5) * 3
 3*x + 15
 }}}

 At some point, I guess, this used to construct a
 Polynomial_dense_modn_ntl_zz. But now it looks like the default
 implementation uses flint:

 {{{
 sage: R.<x> = Integers(100)[]
 sage: type((x + 5) * 3)
 <type 'sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint'>
 }}}

 So a large number of the functions in this file are actually untested,
 because they're testing the flint implementation instead of the ntl one.
 It looks like this is the workaround:

 {{{
 sage: R.<x> = PolynomialRing(Integers(100), implementation='ntl')
 sage: type((x + 5) * 3)
 <type
 'sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz'>
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13781>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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