#14801: Piecewise functions done right
-------------------------------------+-------------------------------------
       Reporter:  vbraun             |        Owner:  rws
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.6
      Component:  symbolics          |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Volker Braun,      |    Reviewers:
  Ralf Stephan                       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  64bbe5393ffc24ae3551644e5171692e7f7a2dd6
  public/piecewise-2                 |     Stopgaps:
   Dependencies:  #14800, #14780,    |
  #9556, #13125, #14802, #16397,     |
  #17759                             |
-------------------------------------+-------------------------------------

Comment (by rws):

 Indeed, as the discussion in https://groups.google.com/forum/?hl=en#!topic
 /sage-devel/dgwUMsdiHfM foresaw, lambdas will be a problem with this, as
 they cannot be coerced to SR.
 {{{
 sage: f1 = lambda x: -1; f2 = lambda x: 2
 sage: piecewise([((0,pi/2),f1), ((pi/2,pi),f2)])
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)
 }}}
 There is one doctest in src/doc/en/constructions/calculus.rst that
 requires it.

 But it doesn't even work with `NewSymbolicFunction`:
 {{{
 sage: function('newf2')(x)
 newf2(x)
 sage: piecewise([((0,pi/2),x), ((pi/2,pi),f2)])
 }}}
 for which there seems a solution in #17701.

--
Ticket URL: <http://trac.sagemath.org/ticket/14801#comment:51>
Sage <http://www.sagemath.org>
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