Apply function to every pair of cells in a cell array

Question

I have a cell array with 943 cells, each cell contains an array of binary elements. I want to apply a function (eg 'and' operation) on each pair of cells, for example:

and(cell1,cell2), and(cell1,cell3) ..... and(cell1,cell943)
                  and(cell2,cell3) ..... and(cell2,cell943)
.                                                 .
.                                                 .                                                  
.                                                 .
.                                        and(cell942,cell943)

For the efficiency purpose, i don't want to repeat the function on a same pair twice. How can i do this?

Answer 1

This would be a solution using a simple for loop:

A = { [0 1 0 1 0 1 0 1] ;
      [1 1 1 0 1 0 0 1] ;
      [0 0 0 1 1 1 0 1] }

n = numel(A);
combs = nchoosek(1:n,2)

for ii = 1:n
    output{ii,1} = A{combs(ii,1)} & A{combs(ii,2)};
    output{ii,2} = combs(ii,:);
end

---

returning:

In the first column you have the result of your operation and in the second column the rows involved (of the initial cell array).

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Or use arrayfun instead of the loop:

output = arrayfun(@(x) A{combs(x,1)} & A{combs(x,2)},1:n,'uni',0).';