#11837: Make Newton basin plotting fun and easy
---------------------------+------------------------------------------------
   Reporter:  kcrisman     |          Owner:  jason, was                 
       Type:  enhancement  |         Status:  new                        
   Priority:  major        |      Milestone:                             
  Component:  graphics     |       Keywords:  fractal newton complex plot
Work_issues:               |       Upstream:  N/A                        
   Reviewer:               |         Author:  Karl-Dieter Crisman        
     Merged:               |   Dependencies:                             
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Comment(by SimonKing):

 Replying to [comment:4 kcrisman]:
 > Just adding cdefs is, in my experience, a recipe for disaster.

 That's true. One first needs to have a good guess what yellow code is most
 frequently executed. %prun might indicate where the problem is hidden, and
 the annotation indicates how to get rid of it.

 > Also interesting about the prun.  This is mostly just taken from the
 complex plot stuff, but prunning (?) that shows just a couple calls to
 complex intervals.  I assume it is mostly happening in the `which_root`,
 maybe {{{if abs(varia-root)<2/3}}}.

 It makes sense to try that separately. I.e., %prun one call to
 `which_root`.

 >  I don't like all the calls to `isinstance` and the polynomial ring
 consructors, either.

 Yes. They are irritating. I am rather sure that `isinstance` is called in
 things like `sage.rings.ring.is_Ring` or so.

 >    Someone who understands how `fast_callable` constructs things better
 might be able to help,

 Sorry, `fast_callable` is a mystery to me.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11837#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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