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Re: Sorting complex points

• To: mathgroup at smc.vnet.net
• Subject: [mg55911] Re: Sorting complex points
• From: "Alan" <info at optioncity.REMOVETHIS.net>
• Date: Sat, 9 Apr 2005 03:56:47 -0400 (EDT)
• References: <d356km$ovn$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

"OT" <montoz at iol.it> wrote in message news:d356km$ovn$1 at smc.vnet.net...
> 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?

Take a list of points on the unit circle:
pts = Table[E^(I Random[] ), {i, 1, 5}]

Then

Sort[pts, Arg[#1] < Arg[#2] &]

alan