#12962: Implement multi-function plotting options in plot()
-------------------------------------+-------------------------------------
       Reporter:  alauve             |        Owner:  was
           Type:  enhancement        |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.8
      Component:  user interface     |   Resolution:
       Keywords:  plot, linestyle,   |    Merged in:
  color                              |    Reviewers:
        Authors:  Aaron Lauve        |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  c9b1aa481c1a817899603255d05be7ad1aaadf36
  u/alauve/implement_multi_function_plotting_options_in_plot__|     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by {'newvalue': u'Aaron Lauve', 'oldvalue': u'Johan S. R. Nielsen'}):

 * cc: saliola (added)
 * author:  Johan S. R. Nielsen => Aaron Lauve


Old description:

> The code `plot([x,x^2],-.2,2)` is a nice shortcut for plotting both x and
> x!^ 2 on the same graph. However, if you want to choose different colors
> or linestyles for each function, then it seems you have to execute, e.g.,
>
> {{{
> p1=plot(x,-.2,1.2,color='blue',linestyle='dotted');
> p2=plot(x^2,-.2,1.2,color='red',linestyle='dashed');
> p1+p2
> }}}
> Here is how Maple and Mathematica handle this issue, respectively:
>
> It seems that the keyword 'fill' allows for a dictionary input, so
> perhaps the relevant code there could serve as a template?
>
> {{{
> [> plot([x, x^2], x= -.2..1.2, color=["blue", "red"],linestyle=[dot,
> longdash]);
>
> In[1]:= Plot[{x, x^2}, {x, -.2, 1.2}, PlotStyle -> {{Blue, Dotted}, {Red,
> Dashed}}]
> }}}

New description:

 The code `plot([x,x^2],-.2,2)` is a nice shortcut for plotting both x and
 x!^ 2 on the same graph. However, if you want to choose different colors
 or linestyles for each function, then it seems you have to execute, e.g.,

 {{{
 p1=plot(x,-.2,1.2,color='blue',linestyle='dotted');
 p2=plot(x^2,-.2,1.2,color='red',linestyle='dashed');
 p1+p2
 }}}
 Here is how Maple and Mathematica handle this issue, respectively:

 It seems that the keyword 'fill' allows for a dictionary input, so perhaps
 the relevant code there could serve as a template?

 {{{
 [> plot([x, x^2], x= -.2..1.2, color=["blue", "red"],linestyle=[dot,
 longdash]);

 In[1]:= Plot[{x, x^2}, {x, -.2, 1.2}, PlotStyle -> {{Blue, Dotted}, {Red,
 Dashed}}]
 }}}

 ''Remarks:''
 1. distinct choices for the curves should be made automatically for the
 user. Running, e.g.,
 {{{
 In[1]:= Plot[{x, x^2}, {x, -.2, 1.2}]
 }}}
 in Mathematica produces two curves that are not both solid-blue.

 2. the functionality for ``fillcolor``, ``color``, and ``fill`` should be
 the same insofar as possible.

--

Comment:

 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=f93aaf3543acd63a6783b5275cf6b5889c4d3080
 f93aaf3]||{{{Merge branch 'develop' into
 t/12962/implement_multi_function_plotting_options_in_plot__}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=c9b1aa481c1a817899603255d05be7ad1aaadf36
 c9b1aa4]||{{{fixed a typo}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/12962#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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