#8459: broken translatin of polylog from Maxima
----------------------------+-----------------------------------------------
   Reporter:  robert.marik  |       Owner:  burcin      
       Type:  defect        |      Status:  needs_review
   Priority:  major         |   Milestone:              
  Component:  symbolics     |    Keywords:  symbolics   
     Author:                |    Upstream:  N/A         
   Reviewer:                |      Merged:              
Work_issues:                |  
----------------------------+-----------------------------------------------
Changes (by robert.marik):

 * cc: burcin (added)
  * status:  new => needs_review


Comment:

 The patch is attached. Still have behavior which I do not understand:
 log(-x^2 + 1)*log(x) + 1/2*polylog(2, -x^2 + 1) evaluates numerically at
 x=1/2 only if it is obtained from direct input and not from Maxima.
 {{{
 ----------------------------------------------------------------------
 | Sage Version 4.3.3, Release Date: 2010-02-21                       |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: f(x)=integrate(ln(1-x^2)/x,x)
 sage: f
 x |--> log(-x^2 + 1)*log(x) + 1/2*polylog(2, -x^2 + 1)
 sage: g(x)=log(-x^2 + 1)*log(x) + 1/2*polylog(2, -x^2 + 1)
 sage: g
 x |--> log(-x^2 + 1)*log(x) + 1/2*polylog(2, -x^2 + 1)
 sage: bool(f==g)
 False
 sage: bool(f._repr_()==g._repr_())
 True
 sage: g(1/2).n()
 0.688640713882747
 sage: f(1/2).n()
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /opt/sage-4.3.3-i686-Linux/<ipython console> in <module>()

 /opt/sage/local/lib/python2.6/site-packages/sage/symbolic/expression.so in
 sage.symbolic.expression.Expression.n
 (sage/symbolic/expression.cpp:17036)()

 TypeError: cannot evaluate symbolic expresssion numerically
 sage:
 }}}
 Any idea what happens?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8459#comment:1>
Sage <http://www.sagemath.org>
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