#9706: New Version of orthogonal Polynomials
-------------------------------------------------+-------------------------
       Reporter:  maldun                         |        Owner:  burcin,
           Type:  enhancement                    |  maldun
       Priority:  minor                          |       Status:
      Component:  symbolics                      |  needs_review
       Keywords:  orthogonal polynomials,        |    Milestone:  sage-5.13
  symbolics                                      |   Resolution:
        Authors:  Stefan Reiterer                |    Merged in:
Report Upstream:  N/A                            |    Reviewers:  Burcin
         Branch:                                 |  Erocal
   Dependencies:                                 |  Work issues:
                                                 |       Commit:
                                                 |     Stopgaps:
-------------------------------------------------+-------------------------

Old description:

> The current implementation of orthogonal polynomials is just a wrapper
> around maxima. (see http://wiki.sagemath.org/symbolics/)
> This update holds the following changes:
>
>   * using of the pynac class for symbolic functions.
>   * faster evaluation in general
>   * evaluation of special values
>   * mpmath for numeric evaluation
>
> '''Remarks:'''
>    * The current patch needs scipy-0.8. One has to install it before
> testing (see #9808 for spkg's and installation instructions)
>    * Some of the old doctests in the old file don't work any more, due to
> coercion problems with pynac (see #9769)
>    * Some doctests in Sage change, due to the fact that new BuiltIn
> functions are added. symbolic.random_test.py had output changes since the
> random expression creation changed of course. The tests in pynac.pyx also
> changed, but this has a strange behavior (see below).

New description:

 The current implementation of orthogonal polynomials is just a wrapper
 around maxima. (see http://wiki.sagemath.org/symbolics/)
 This update holds the following changes:

   * using of the pynac class for symbolic functions.
   * faster evaluation in general
   * evaluation of special values
   * mpmath for numeric evaluation

 '''Remarks:'''
    * The current patch needs scipy-0.8. One has to install it before
 testing (see #9808 for spkg's and installation instructions)
    * Some of the old doctests in the old file don't work any more, due to
 coercion problems with pynac (see #9769)
    * Some doctests in Sage change, due to the fact that new BuiltIn
 functions are added. symbolic.random_test.py had output changes since the
 random expression creation changed of course. The tests in pynac.pyx also
 changed, but this has a strange behavior (see below).

 Apply:

 * [attachment:trac_9706_chebyshev.patch]
 * [attachment:trac_9706-review-ts.patch]

--

Comment (by tscrim):

 ** Here is a review patch which does a bunch of documentation formatting
 tweaks. There are probably one or two other things that will need to be
 addressed, but I'd like to get the ball rolling on this again (and I need
 some sleep right now).

 Best,[[BR]]
 Travis

 For patchbot:

 Apply: trac_9706_chebyshev.patch, trac_9706-review-ts.patch

--
Ticket URL: <http://trac.sagemath.org/ticket/9706#comment:37>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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