Re: Re; Reordering lists?!

• To: mathgroup at smc.vnet.net
• Subject: [mg4570] Re: Re; Reordering lists?!
• From: Hein Hundal <hundal at vicon.net>
• Date: Fri, 16 Aug 1996 05:15:04 -0400
• Organization: Core Capital
• Sender: owner-wri-mathgroup at wolfram.com

```Andre and Alain 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
>
> <The original list>
>
> gsub=Flatten[ColumnTake[gcsq,{4}]]
> {2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 3, 1, 1, 2, 1, 2, 1, 2, 1, 1,
> 1, 1, 2, 1, 2, 1, 3, 1,
>   2, 2, 1, 2, 1, 2, 3, 2, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2,
> 3, 2, 2, 2, 1, 2, 1,
>   2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1}
>
> <Frequencies of the list>
>
> Frequencies[gsub]
> {{42, 1}, {34, 2}, {4, 3}, {1, 4}}
>
> <The code that replaces them>
>
> Do[If[gsub[[n]]==1,gsub[[n]]=4]||
> If[gsub[[n]]==2,gsub[[n]]=3]||
> If[gsub[[n]]==3,gsub[[n]]=2]||
> If[gsub[[n]]==4,gsub[[n]]=1],
> {n,1,Length[gsub]}]
>
> <It doesn't work properly?!>
>
> Frequencies[gsub]
> {{43, 1}, {38, 2}}
>
> Of course the new list frequencies should be exactly opposite than the first
> Thanks
> Andre Bindon
> Ablerta Hospital Edmonton

The function you have built works well for values of 3 and 4, but for a value of 1 (or 2),
the clause If[gsub[[n]]==1,gsub[[n]]=4] converts the 1 into a 4 and returns the value 4.  If
this clause returned True then the program would go on to the next value of n, but because 4
is returned, the remaining If clauses are evaluated.  So, If[gsub[[n]]==4,gsub[[n]]=1]
converts the 4 back into a 1.  To Fix your code, you could have the If[]'s return True when
their test is true.
Do[
If[gsub[[n]]==1,gsub[[n]]=4;True]||
If[gsub[[n]]==2,gsub[[n]]=3;True]||
If[gsub[[n]]==3,gsub[[n]]=2;True]||
If[gsub[[n]]==4,gsub[[n]]=1;True],
{n,1,Length[gsub]}]

There are many other ways to achieve the same goal.  For example:

gsub /. Table[ a -> (5-a), {a,4}]

Hein Hundal

==== [MESSAGE SEPARATOR] ====

```

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