#10635: refactor polynomial_element.pyx factor function
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   Reporter:  was               |       Owner:  AlexGhitza
       Type:  enhancement       |      Status:  new       
   Priority:  minor             |   Milestone:  sage-4.6.2
  Component:  basic arithmetic  |    Keywords:            
     Author:                    |    Upstream:  N/A       
   Reviewer:                    |      Merged:            
Work_issues:                    |  
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 The "factor" function in polynomial_element.pyx needs to be refactored,
 because it has to be modified every time a new interesting base ring gets
 added to Sage.

 Instead of importing a ton of different rings, the function should just
 call a method on the base ring, e.g.,
 {{{
 def _factor_univariate_polynomial(self, f):
     ...
 }}}
 Since the code in factor is for generic polynomials, it doesn't use their
 internal representation, so this should be fine.   It just turns out that
 factoring algorithms depend a huge amount on the base ring, and
 polynomials get created over tons of different bases (but there are far
 less classes that derive from "polynomial").

 I suggest for this ticket, at a minimum we add a quick "hasattr" check at
 the top of the current factor function, then leave the existing code.
 Then new code can be written to use this.  In the near future somebody can
 move most of the imports and cases out the current factor function, so it
 becomes very short, and the code gets put in the right place.

 A major motivation for this is that people create their own new rings R in
 external code that depends on sage, and want to be able to factor
 polynomials over R.  They do *not* define a new class for polynomials over
 R.  It seems silly for them to have to patch the core sage library to get
 factorization functionality.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10635>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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