#3985: Asymptote plotting
----------------------+-----------------------------------------------------
 Reporter:  kcrisman  |       Owner:  was       
     Type:  defect    |      Status:  new       
 Priority:  major     |   Milestone:  sage-4.0.1
Component:  graphics  |    Keywords:            
----------------------+-----------------------------------------------------

Old description:

> Plotting functions like 1/x, tan, etc. have asymptotes essentially
> plotted in Sage at this point.  This is okay, except that the scale is
> way out of whack, so things look very odd.  Sage should either remove the
> asymptote piece of these plots somehow (how is not obvious) or fix the
> ymin and ymax in show so that it just looks like the asymptotes are
> plotted.
> E.g.
> {{{
> sage: plot(tan,-20,20).show(ymin=-5, ymax=5)
> }}}
> except automatic detection of the ymin and ymax.

New description:

 Still need improvement on plotting of asymptote of e.g. tan or 1/x,
 especially when detect_poles != True.  Ideally one has an output similar
 to
 {{{
 sage: plot(tan,-20,20).show(ymin=-5, ymax=5)
 }}}
 but just straight out of plot.

--

Comment(by kcrisman):

 Just FYI, #6035 partially resolves this.

 However,
 {{{
 sage: plot(tan,-20,20, detect_poles='show')
 sage: plot(tan,-20,20, detect_poles=True)
 }}}
 shows that 'show' still keeps the "missing" points (which include not just
 the asymptote but also the high slopes on either side) and that True
 doesn't create a uniform height as one might desire in the Description.

 Description changed to indicate this successful partial resolution,
 however!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/3985#comment:3>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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