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MathGroup Archive 2006

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Re: Plotting multi-column data

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71143] Re: [mg71100] Plotting multi-column data
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Thu, 9 Nov 2006 03:38:09 -0500 (EST)
  • Reply-to: hanlonr at cox.net

Needs["Graphics`"];

The multi-column data has the form

multiColumnData=Prepend[#[[2]],#[[1]]]&/@
    Thread[{Array[x,{3}],Array[y,{3,4}]}]

{{x[1], y[1, 1], y[1, 2], y[1, 3], y[1, 4]}, {x[2], y[2, 1], y[2, 2], y[2, 3], y[2, 4]}, 
  {x[3], y[3, 1], y[3, 2], y[3, 3], y[3, 4]}}

To convert to plot data

plotData=Transpose[Thread[{First[#],Rest[#]}]&/@
      multiColumnData]

{{{x[1], y[1, 1]}, {x[2], y[2, 1]}, {x[3], y[3, 1]}}, {{x[1], y[1, 2]}, {x[2], y[2, 2]}, 
   {x[3], y[3, 2]}}, {{x[1], y[1, 3]}, {x[2], y[2, 3]}, {x[3], y[3, 3]}}, 
  {{x[1], y[1, 4]}, {x[2], y[2, 4]}, {x[3], y[3, 4]}}}

Using numbers to demonstrate the plots

plotData2=plotData/.{x[n_]:>n,y[n_,m_]:>Random[]};

Module[{n=Length[plotData2]},
    MultipleListPlot[Sequence@@plotData2,
      PlotJoined->True,
      PlotStyle->Table[Hue[k/n],{k,n}]]];


Bob Hanlon

---- David Wood <dmwood at floyd.comcast.net> wrote: 
> Howdy, all.
> 
> I'd like to to plot multi-column data, a line of which might look like, e.g.:
> 
> x1 y1 y2 y3 y4 y5 
> 
> using Mathematica.  (I might have several tens of columns of data.)
> 
> (Yes, I know MultipleListPlot would handle sets like 
> {{x1,f1(x1)},{x2,f1(x2},..}} etc, but this requires clumsily defining
> several dozen new standalone data arrays.)
> 
> How to accomplish this efficiently appears mystically opaque to my untutored 
> eyes, or perhaps I'm addled from too much US election coverage.  A Google 
> search on this group's archives, MathSource, and the Wolfram site with 
> the inoffensive keywords plot multi-column data yielded doodly-squat 
> (actually, less than that).
> 
> Any suggestions?
> Many thanks!
> 


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