#4120: New code for binary quadratic forms
-------------------------------------+-------------------------------------
       Reporter:  justin             |        Owner:  justin
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.2
      Component:  quadratic forms    |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Justin Walker,     |    Reviewers:  John Cremona
  Jon Hanke, Gonzalo Tornaria, John  |  Work issues:  more tests for
  Cremona                            |  is_reduced, doc of primitive_only
Report Upstream:  N/A                |       Commit:
         Branch:                     |  96c1a86e063e7a7512978c574ec40c84641b66d4
  u/pbruin/4120-binary_quadratic_forms|     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by pbruin):

 * work_issues:   => more tests for is_reduced, doc of primitive_only


Old description:

> The code supporting binary quadratic forms, in
> quadratic_forms/binary_qf.py, is missing some functionality, and relies
> on Magma and Pari.  The patch in this ticket provides the following
> changes:
>  - tests for equivalence, normal, positive and negative definite,
> indefinite, primitive forms
>  - normalize a form
>  - action of matrix on a form
>  - find content; factor indefinite forms
> In addition:
>  - reduce() no longer calls Pari
>  - some cleanup: is_reduced() is rewritten; polynomial() replaced with an
> instance variable (poly)
>
> Doctests are in place for the new code, so the file remains at 100%
> coverage.

New description:

 The code supporting binary quadratic forms, in
 quadratic_forms/binary_qf.py, is missing some functionality.  The patch in
 this ticket provides the following changes:
  - better support for indefinite forms
  - tests for equivalence, positive and negative definite, indefinite,
 primitive forms
  - action of matrix on a form
  - find content
  - is_reduced() is rewritten
  - polynomial() now uses an instance variable (poly)
  - some general cleaning up

 Doctests are in place for the new code, so the file remains at 100%
 coverage.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/4120#comment:30>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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