#20312: parent of argument lost with GinacFunctions
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   Reporter:  rws        |            Owner:
       Type:  defect     |           Status:  new
   Priority:  major      |        Milestone:  sage-7.2
  Component:  symbolics  |         Keywords:
  Merged in:             |          Authors:
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:
   Stopgaps:             |
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 Except for some classes, Python objects as function arguments are coerced
 into SR, but with `GinacFunction`s the parent gets lost, i.e. the result
 is not converted back. Ths violates the rule that function input and
 output should be of the same type.
 {{{
 sage: S.<y> = PolynomialRing(RR)
 sage: ex = sin(asin(y)); ex
 y
 sage: type(ex)
 <type 'sage.symbolic.expression.Expression'>
 sage: ex.is_symbol()
 True
 }}}
 This also shows that the notion "SR encapsulates all Sage objects" is
 wrong because everything coerces into SR. SR only encapsulates certain
 "numeric" objects. Pynac can't be blamed as it only sees expressions. The
 problem is in `symbolic/function.pyx` where the parent of function
 arguments is lost.

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Ticket URL: <http://trac.sagemath.org/ticket/20312>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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