Get rid of identical permutations in a matrix, Matlab -


i generated x-by-10 array of numbers matlab. array 'mentally' divided columns sets of 4, 3 , 3. 2 rows if array given below

[1 2 3 4 ; 5 6 7 ; 8 9 10] [1 2 3 4 ; 8 9 10 ; 5 6 7]

the semi-colons mental divisions. need process array further, 'mental column' permutations give same information. second row permutation of second , third 'mental row' of first one.

is there simple way can rid of permutations built in functions of matlab ? sort of unique recognizes permutations.

suppose rows stored in matrix a, , column set widths stored in len (in case len = [4, 3, 3]). first should represent data in cell array:

x = mat2cell(a, ones(size(a, 1), 1), len);

then find possible combinations of columns in such cell array (without repetition):

cols = perms(1:numel(len));

now, given 2 rows x indices r1 , r2, check if 1 permutation of other (i.e reordered "mental" columns):

any(arrayfun(@(n)isequal(x(r1, :), x(r2, cols(n, :))), 1:size(cols, 1)))

following this, can find possible pairs of rows (without repetition), , each pair of rows check if permutation of each other:

rows = nchoosek(1:size(a, 1), 2); n = size(cols, 1); isperm = @(ii, jj)any(arrayfun(@(n)isequal(x(ii, :), x(jj, cols(n, :))), 1:n)); remove_idx = arrayfun(isperm, rows(:, 1), rows(:, 2));

and removing them easy pie:

a(remove_idx, :) = [];

example

let's take following data input:

a = [1:10; 11:20; 1:4 8:10 5:7]; len = [4 3 3];

that is:

a =     1    2    3    4    5    6    7    8    9   10    11   12   13   14   15   16   17   18   19   20     1    2    3    4    8    9   10    5    6    7  len =    4   3   3

and run following code:

x = mat2cell(a, ones(size(a, 1), 1), len); cols = perms(1:numel(len)) rows = nchoosek(1:size(a, 1), 2) n = size(cols, 1) isperm = @(ii, jj)any(arrayfun(@(n)isequal(x(ii, :), x(jj, cols(n, :))), 1:n)); remove_idx = arrayfun(isperm, rows(:, 1), rows(:, 2)); a(remove_idx, :) = [];

the result is:

remove_idx =    0    1    0  =     1    2    3    4    5    6    7    8    9   10     1    2    3    4    8    9   10    5    6    7

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