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ImplicitPlot options (undocumented)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg14462] ImplicitPlot options (undocumented)
  • From: "Ersek, Ted R" <ErsekTR at navair.navy.mil>
  • Date: Wed, 21 Oct 1998 03:32:59 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

Recent messages under the subject "shading implicit plot" discussed the
use of the option ColorFunction with the ImplicitPlot package.  I was
surprised ImplicitPlot uses the ColorFunction option because it isn't
included in the list returned by  Options[ImplicitPlot].

After studying the code for the package and doing some investigating I
found other options ImplicitPlot can use.  In particular ImplicitPlot
will take the options ColorFunction, Compiled, ContourLines,
ContourShading, ContourStyle, FormatType, ImageSize, and TextStyle even
though they aren't returned by Options[ImplicitPlot].  Use of each of
these options except Compiled is demonstrated below.

In[1]:=
<<Graphics`ImplicitPlot`

  
In[2]:=
ImplicitPlot[x^2+y^2==1/2,{x,0,0.75},{y,0,0.75},ContourStyle->Dashing[{0.02,
0.02}], 
   TextStyle->{FontColor->Hue[0.7]}]; (* Graphic not shown *)

  
In[3]:=
ImplicitPlot[x^2+y^2==1/2,{x,0,0.75},{y,0,0.75}, 
   ColorFunction->(If[#<0.5, GrayLevel[0.7], GrayLevel[1]]&),
   ImageSize->{200,200}, ContourLines->False,
   ContourShading->True];
(* Graphic not shown  *)


ImplicitPlot[ArcSin[x]-y==0,{x,-1,1},{y,-p/2,p/2},
   PlotLabel->HoldForm[ArcSin[x]=y],
   FormatType->TraditionalForm];
(* Graphic not shown  *)


I have yet to find documentation indicating that ImplicitPlot uses these
options.

Cheers,
Ted Ersek


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