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MathGroup Archive 2005

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Re: Sorting complex points

  • To: mathgroup at smc.vnet.net
  • Subject: [mg55888] Re: [mg55874] Sorting complex points
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Sat, 9 Apr 2005 03:55:25 -0400 (EDT)
  • Reply-to: hanlonr at cox.net
  • Sender: owner-wri-mathgroup at wolfram.com

Needs["Graphics`"];

mlp[data_List]:=MultipleListPlot[{Re[#],Im[#]}&/@data,
      SymbolLabel->{Range[Length[data]]},
      PlotRange->All,Ticks->None];

data=Table[(2*Random[]-1)+I*(2*Random[]-1),{10}];

mlp[data];

sortedData=Sort[data, Arg[#1]<Arg[#2]&];

mlp[sortedData];


Bob Hanlon

> 
> From: OT <montoz at iol.it>
To: mathgroup at smc.vnet.net
> Date: 2005/04/08 Fri AM 01:37:06 EDT
> To: mathgroup at smc.vnet.net
> Subject: [mg55888] [mg55874] Sorting complex points
> 
> Hi all,
> 
> I'm trying to sort lists of random complex points on the unit circle 
> using their angles as criterion to sort them: I mean, if
> z=Cos[a]+I*Sin[a] and w=Cos[b]+I*Sin[b]( 0<=a,b<2*Pi ),
> I want z<w if a<b;
> 
> how can i do that?
> 
> I tried to define Angle[z] as a piecewise funztion, but I still don't 
> understand how to use it with Sort...
> 
> Thanks,
> 
> andrea
> 
> 


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