Re: Graphics--How to plot all functions issued from For loop and
- To: mathgroup at smc.vnet.net
- Subject: [mg71816] Re: Graphics--How to plot all functions issued from For loop and
- From: dh <dh at metrohm.ch>
- Date: Thu, 30 Nov 2006 06:05:08 -0500 (EST)
- References: <ekjg15$df7$1@smc.vnet.net>
Hi,
here is a possible solution:
fun=Table[Sin[k x],{k,0,5}];AppendTo[fun,Cos[x]];
hue=Table[Hue[k/7],{k,0,6}];
txt=Table["Sin("<>ToString[k]<>" x)",{k,0,5}];AppendTo[txt,"Cos(x)"];
g=PolarPlot[Evaluate[fun],{x,-Pi/2,Pi/2},PlotStyle->hue,
AxesLabel->{\[Theta],\[Psi]},
DisplayFunction->Identity];
ShowLegend[g,{Transpose[{hue,txt}],LegendPosition->{.8,.1},
LegendSize->{.6,.5}, LegendShadow->{.02,-.02}}]
Daniel
abdou.oumaima at hotmail.com wrote:
> Hello MathGroup,
> I'd like to plot all functions issued from For Loop then color them automatically. If my loop is =10 it'll be very hard to write all Hue commands and all legends. Is there any way to plot and color and legend all functions automatically. I don't want to do that manually.
> Please Help.
> Many thanks in advance.
> Cheers.
> Lian.
>
> NB: Please copy and past the code bellow into a notebook file to see what I did manually then evaluate it.
>
> \!\(\*
> RowBox[{\(<< Graphics`;\),
> "\[IndentingNewLine]", \(<< "\<Graphics`Legend`\>";\),
> "\[IndentingNewLine]", "\[IndentingNewLine]", \(listps = {};\),
> "\[IndentingNewLine]",
> RowBox[{
> RowBox[{"For", "[",
> RowBox[{\(k = 0\), ",", \(k \[LessEqual] 5\), ",",
> RowBox[{"{", "\[IndentingNewLine]",
> RowBox[{
> RowBox[{"ps", "=",
> RowBox[{
> StyleBox["PolarPlot",
> FontColor->RGBColor[1, 0, 0]],
> "[", \(Sin[k\ x], {x, \(-Pi\)/2, Pi/2},
> PlotStyle \[Rule] Hue[\(k - 1\)\/7],
> AxesLabel \[Rule] {\[Theta], \[Psi]}, \
> DisplayFunction \[Rule] Identity\), "]"}]}], ";",
> "\[IndentingNewLine]",
> "\[IndentingNewLine]", \(listps = Join[listps, List[ps]]\),
> ";"}], "\[IndentingNewLine]", "\[IndentingNewLine]", "}"}],
> ",", \(k++\)}], "\[IndentingNewLine]", "]"}], ";"}],
> "\[IndentingNewLine]",
> RowBox[{
> RowBox[{"pc", "=",
> RowBox[{
> StyleBox["PolarPlot",
> FontColor->RGBColor[1, 0, 0]], "[", \(Cos[x], {x, Pi/2, 3\ Pi/2},
> PlotStyle \[Rule] Hue[\ 0.8], \
> AxesLabel \[Rule] {\[Theta], \[Psi]}, \
> DisplayFunction \[Rule] Identity\), "]"}]}], ";"}],
> "\[IndentingNewLine]",
> "\[IndentingNewLine]", \(ShowLegend[
> DisplayTogether[listps, pc, Ticks \[Rule] {PiScale, Automatic},
> PlotRange \[Rule] {{\(-Pi\)/2, Pi/2}, Automatic},
> ImageSize \[Rule] 700,
> DisplayFunction \[Rule]
> Identity], {{{Hue[0], "\<1\>"}, {Hue[1\/7], "\<Sin(x)\>"}, {Hue[
> 2\/7], "\<Sin(2x)\>"}, {Hue[3\/7], "\<Sin(3 x)\>"}, {Hue[
> 4\/7], "\<Sin(4 x)\>"}, {Hue[5\/7], "\<Sin(5 x)\>"}, {Hue[
> 0.8], "\<Cos (x)\>"}}, LegendPosition \[Rule] { .8, .1},
> LegendSize \[Rule] { .3, .2}, \
> LegendShadow \[Rule] { .02, \(- .02\)}}];\)}]\)
>
> Link to the forum page for this post:
> http://www.mathematica-users.org/webMathematica/wiki/wiki.jsp?pageName=Special:Forum_ViewTopic&pid=15758#p15758
> Posted through http://www.mathematica-users.org [[postId=15758]]
>
>