#9706: Symbolic Chebyshev polynomials
-------------------------------------+-------------------------------------
       Reporter:  maldun             |        Owner:  burcin, maldun
           Type:  enhancement        |       Status:  needs_work
       Priority:  minor              |    Milestone:  sage-5.13
      Component:  symbolics          |   Resolution:
       Keywords:  orthogonal         |    Merged in:
  polynomials, symbolics             |    Reviewers:  Burcin Erocal, Travis
        Authors:  Stefan Reiterer,   |  Scrimshaw, Stefan Reiterer
  Travis Scrimshaw                   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by jdemeyer):

 * status:  needs_review => needs_work


Comment:

 More doctests are needed, this still doesn't work:
 {{{
 sage: chebyshev_T(1/2, 0)
 ---------------------------------------------------------------------------
 NameError                                 Traceback (most recent call
 last)
 <ipython-input-2-c142cc68c50b> in <module>()
 ----> 1 chebyshev_T(Integer(1)/Integer(2), Integer(0))

 /usr/local/src/sage-5.13.beta1/local/lib/python2.7/site-
 packages/sage/functions/orthogonal_polys.pyc in __call__(self, n, x)
     554             return self._eval_(n,x) # Let eval methode decide
 which is best
     555         else: # Consider OrthogonalPolynomial as symbol
 --> 556             return super(OrthogonalPolynomial,self).__call__(n,x)
     557
     558

 /usr/local/src/sage-5.13.beta1/local/lib/python2.7/site-
 packages/sage/symbolic/function.so in
 sage.symbolic.function.BuiltinFunction.__call__
 (sage/symbolic/function.cpp:8126)()

 /usr/local/src/sage-5.13.beta1/local/lib/python2.7/site-
 packages/sage/symbolic/function.so in
 sage.symbolic.function.Function.__call__
 (sage/symbolic/function.cpp:5531)()

 /usr/local/src/sage-5.13.beta1/local/lib/python2.7/site-
 packages/sage/functions/orthogonal_polys.pyc in _eval_(self, *args)
     493                 if not is_Expression(args[-1]):
     494                     try:
 --> 495                         return self._evalf_(*args)
     496                     except AttributeError:
     497                         pass

 /usr/local/src/sage-5.13.beta1/local/lib/python2.7/site-
 packages/sage/functions/orthogonal_polys.pyc in _evalf_(self, *args,
 **kwds)
     641             precision = step_parent.prec()
     642         except AttributeError:
 --> 643             precision = RR.prec()
     644
     645         from sage.libs.mpmath.all import call as mpcall

 NameError: global name 'RR' is not defined
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/9706#comment:83>
Sage <http://www.sagemath.org>
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