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Re: Sort a List, in a List of Lists of Lists

  • To: mathgroup at smc.vnet.net
  • Subject: [mg113800] Re: Sort a List, in a List of Lists of Lists
  • From: Raffy <adraffy at gmail.com>
  • Date: Sun, 14 Nov 2010 06:06:02 -0500 (EST)
  • References: <ibl9g2$b8a$1@smc.vnet.net>

On Nov 12, 9:59 pm, leigh.pas... at inserm.fr wrote:
> Dear Mathgroup,
>
> I have a lsit of Lists of Lists:
>
> {{{1,2},{2,1},{1,1}},{{1,1},{1,1},{1,2}},{{2,1},{2,2},{1,2}},{{2,2},{1,2},{ 2,2}},{{1,1},{2,1},{1,2}},{{1,2},{2,2},{2,2}}}
>
> I would like to sort the elements in the lowest level of brackets to give
>
> {{{1, 2}, {1, 2}, {1, 1}}, {{1, 1}, {1, 1}, {1, 2}}, {{1, 2}, {2,
>     2}, {1, 2}}, {{2, 2}, {1, 2}, {2, 2}}, {{1, 1}, {1, 2}, {1,
>     2}}, {{1, 2}, {2, 2}, {2, 2}}}
>
> i.e retaining the same structure with the paired elements in the
> original order. I can't seem to get the syntax right to do this apart
> from the obvious
>
> {{Sort[{1, 2}], Sort[{2, 1}], Sort[{1, 1}]}, {Sort[{1, 1}],
>    Sort[{1, 1}], Sort[{1, 2}]}, {Sort[{2, 1}], Sort[{2, 2}],
>    Sort[{1, 2}]}, {Sort[{2, 2}], Sort[{1, 2}],
>    Sort[{2, 2}]}, {Sort[{1, 1}], Sort[{2, 1}],
>    Sort[{1, 2}]}, {Sort[{1, 2}], Sort[{2, 2}], Sort[{2, 2}]}}
>
> I must have a blind spot for the correct command. Can someone please
> help me with what should be a straightforward sort. As I want to carry
> this out on several hundred thousand pairs I need a more efficient
> command. Thanks in advance.
>
> LP
>
> ----------------------------------------------------------------
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lists = {{{1, 2}, {2, 1}, {1, 1}}, {{1, 1}, {1, 1}, {1, 2}}, {{2, 1},
{2,
   2}, {1, 2}}, {{2, 2}, {1, 2}, {2, 2}}, {{1, 1}, {2, 1}, {1,
   2}}, {{1, 2}, {2, 2}, {2, 2}}};

If the depth is variable:  lists /. x_?VectorQ :> Sort[x]

If the depth is constant: Map[Sort, lists, {2}]


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