#6699: [with new spkg and patch; needs review] Update to Maxima 5.19.1
(particularly important for Solaris support).
----------------------+-----------------------------------------------------
 Reporter:  drkirkby  |       Owner:  mabshoff                 
     Type:  defect    |      Status:  new                      
 Priority:  major     |   Milestone:  sage-4.1.2               
Component:  packages  |    Keywords:  maxima                   
 Reviewer:            |      Author:  David Kirkby, Alex Ghitza
   Merged:            |  
----------------------+-----------------------------------------------------

Comment(by AlexGhitza):

 Here's a description of the problem and the workaround patched in the
 latest spkg:

 We are calling Maxima's function {{{to_poly_solve}}} on the symbolic
 expression {{{Q*sqrt(Q^2+2)-1 == 0}}}.  Maxima takes this expression and
 turns it into a system of polynomial equations, and possibly some
 inequalities giving constraints on the variables.  This is done by a
 function in {{{share/contrib/topoly.lisp}}}.  This function behaves
 differently under Maxima 5.19.1 than it did under Maxima 5.16.3, and
 that's what is causing Maxima to lose one of the solutions:

 Maxima 5.16.3:
 {{{
 sage: var('Q');
 sage: ex = Q*sqrt(Q^2+2)-1 == 0
 sage: m = ex._maxima_()
 sage: m.to_poly()
 [[%g0*Q-1,Q^2+2=%g0^2],[-%pi/2<carg(%g0),carg(%g0)<=%pi/2]]
 }}}

 Maxima 5.19.1:
 {{{
 sage: var('Q');
 sage: ex = Q*sqrt(Q^2+2)-1 == 0
 sage: m = ex._maxima_()
 sage: m.to_poly()
 [[%g0*Q-1,Q^2+2=%g0^2],[-%pi/2<parg(%g0),parg(%g0)<=%pi/2],[]]
 }}}

 The main difference between the two is that {{{carg}}} turned into
 {{{parg}}}.  The latter is a new function which is supposed to be a
 lightweight alternative to {{{carg}}}.

 The right way to fix this is to properly debug {{{topoly.lisp}}} and send
 a patch to Maxima, but I do not have the time or expertise to do that.
 The author knows about the bug (see above link to maxima mailing list), so
 hopefully this will get sorted out in a future release of Maxima.

 For now, I'm patching {{{topoly.lisp}}} so that the appropriate
 occurrences of {{{parg}}} are changed back into {{{carg}}}.  This solves
 our doctest failure.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6699#comment:11>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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