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MathGroup Archive 2005

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Re: Pattern matching at bottom depth

  • To: mathgroup at smc.vnet.net
  • Subject: [mg63351] Re: [mg63336] Pattern matching at bottom depth
  • From: "Carl K. Woll" <carlw at wolfram.com>
  • Date: Sat, 24 Dec 2005 16:02:59 -0500 (EST)
  • References: <200512241219.HAA16002@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Barthelet, Luc wrote:
> I have a function Foo (attribute hold) that will take 3D Points as
> arguments either in a list or a list of lists.
> 
> So I can call:
> 
> Foo[{{0,0,0},{1,2,3}}]
> 
> Or
> 
> Foo[{{{0,0,0},{1,1,1}},{{1,1,1},{2,2,2},{3,4,3}}}]
> 
> Now, I would like to pattern match the triplets, so that I can run a
> transformation (transform[u]) on them before releasing the hold on Foo.
> 
> Currently I do it with 2 rules and the conditional use of dimensions.
> 
> Foo [u_ /; Length[Dimensions[u]] == 2] :> Foo [transform /@ u],
> Foo [u_ /; Length[Dimensions[u]] == 3] :> Foo [Map[transform, u,{2}]]
> 
> Is there a better way to do this?
> 
> Thanks
> 
> Luc
> 
> 

Luc,

Try

Map[transform,u,{-2}]

Carl Woll
Wolfram Research


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