#13246: Automatic exclusion of non-domain points in things like arcsec
-----------------------------------------+----------------------------------
       Reporter:  kcrisman               |         Owner:  jason, was  
           Type:  defect                 |        Status:  needs_review
       Priority:  major                  |     Milestone:  sage-5.11   
      Component:  graphics               |    Resolution:              
       Keywords:                         |   Work issues:              
Report Upstream:  N/A                    |     Reviewers:              
        Authors:  Punarbasu Purkayastha  |     Merged in:              
   Dependencies:                         |      Stopgaps:              
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Comment (by kcrisman):

 Notice this (unsurprisingly) needs a slight rebase.

 Impressively, this also seems to work correctly with things like
 {{{
 sage: parametric_plot( (arcsec(x), x^2), (x,-2,2))
 }}}
 although
 {{{
 parametric_plot( (x,arcsec(x)), (x,-2,2))
 }}}
 would cause an error always - something that probably should be fixed,
 perhaps this is a good place to do so?  Note that there is no helpful
 error message like with
 {{{
 WARNING: When plotting, failed to evaluate function at 99 points.
 }}}

 I'm trying to rack my brain thinking of where `2 times the difference
 between two consecutive plot points` might cause a problem in the
 parametric case.  Even
 {{{
 parametric_plot( (100000*arcsec(x), x), (x,-2,2),aspect_ratio='automatic')
 }}}
 doesn't seem to trigger additional exclusions.  Do you see what I mean?
 One could imagine that in a parametric context there could be a very
 narrow parameter range, but a lot of room on the x-values and so
 everything would be excluded.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13246#comment:17>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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