Re: Re; Reordering lists?!
- To: mathgroup at smc.vnet.net
 - Subject: [mg4541] Re: Re; Reordering lists?!
 - From: earhart at athena.mit.edu (Elizabeth J Earhart)
 - Date: Wed, 7 Aug 1996 04:17:47 -0400
 - Organization: Massachvsetts Institvte of Technology
 - Sender: owner-wri-mathgroup at wolfram.com
 
In article <4thaug$j6e at dragonfly.wolfram.com>,
Andre and Alain <abindon at gpu.srv.ualberta.ca> wrote:
>        Hey! I have a list of Numbers, 1 to 4, and wish to rescale them so
>that 1 replkaces 4 and 3 replaces 2 and 2 replaces 3 etc. I made a little
>code to do this on an element per element basis and it doesn't seem to do
>it! Could someone let me know what I'm doing wrong or whether it's a Mma
>problem? Thanks
>
[nonworking code snipped]
The problem is that when you encounter 1's or 2's, you're changing them
into 4's or 3's respectively, and then you hit the next If[] statement
and change them back again!
The easiest way to accomplish what you want is
newgsub = (5-#)& /@ gsub;
('/@' is shorthand for Map[], '(5-#)&' is a pure function equivalent
to f[x_] := (5-x); ).
If you're not always going to be doing your substitution in such a
way that the numbers add up to a constant, you can define an encoding
function as follows:
encode[x_] := Switch[x,
		1, 4,
		2, 3,
		3, 2,
		4, 1,
		_, x];
(That last line isn't absolutely necessary - it leaves unchanged anything
that doesn't match any of the defined cases).
Then you will get the correct result if you do
newgsub = encode /@ gsub;
(Equivalently, newgsub = Map[encode, gsub, {1}];)
-Elizabeth
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