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