#16613: fix content of polynomials
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  commutative        |   Resolution:
  algebra                            |    Merged in:
       Keywords:  polynomial,        |    Reviewers:
  content                            |  Work issues:
        Authors:  Bruno Grenet       |       Commit:
Report Upstream:  N/A                |  78d45b9b13fcf242d0f7de248a9891f6a64298a6
         Branch:  u/bruno/content    |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by {'newvalue': u'Bruno Grenet', 'oldvalue': u'Vincent Delecroix'}):

 * status:  needs_info => needs_review
 * author:  Vincent Delecroix => Bruno Grenet
 * branch:   => u/bruno/content
 * keywords:   => polynomial, content
 * commit:   => 78d45b9b13fcf242d0f7de248a9891f6a64298a6


Old description:



New description:

 There is an inconsistency between several implementations of methods
 `content` for polynomials which either return the gcd of the coefficients
 or the ideal generated by the coefficients.

 To remove the inconsistency, we implement two distinct methods:

 * `content` returns the gcd of the coefficients;
 * `content_ideal` returns the ideal generated by the coefficients.

--

Comment:

 Based on answers on this ticket and on
 [https://groups.google.com/forum/#!topic/sage-devel/DP_R3rl0vH0 sage-
 devel], I've implemented the solution with two methods `content` and
 `content_ideal`. Right now, there is now warning nor deprecation. If
 necessary, I can add a warning for the generic method `content` as
 follows:

 {{{#!python
 from sage.warnings import warn
 warn("This method now returns the gcd of the coefficients of the input
 polynomial. Use content_ideal()` to get the ideal generated by the
 coefficients.")
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/16613#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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