a function with increasing number of its arguments in a loop

hi dears,

I'm using a function for generating Cartesian products of two or more vectors and I want the number of its arguments increases in each iteration of a loop (the vectors as its arguments are same). For instance in the first iteration of the loop the function calculates the Cartesian(A,A), in the second iteration calculates Cartesian(A,A,A), in the next iteration calculates Cartesian(A,A,A,A), and so on. How could I do it? Thanks

[Kevin Chng]

Have you tried out any code? Do you mind to share to us?

[mehdi J]

a code has been shared on this link and it is as below. I want to use it in a loop and increase its size in each iteration of the loop

------
function C = cartesian(varargin)
  args = varargin;
  n = nargin;

    [F{1:n}] = ndgrid(args{:});

    for i=n:-1:1
        G(:,i) = F{i}(:);
    end

    C = unique(G , 'rows');
end

Answer 1

[Stephen23]

Use a comma-separated list:

N = ... number of iterations
C = cell(1,N); % output array
for k = 1:N
    T = repmat({A},1,1+k);
    C{k} = Cartesian(T{:});
end

Read more:

https://www.mathworks.com/help/matlab/matlab_prog/comma-separated-lists.html

https://www.mathworks.com/matlabcentral/answers/320713-how-to-operate-on-comma-separated-lists

https://www.mathworks.com/matlabcentral/answers/344486-generate-comma-separated-list-in-single-line-of-code

[mehdi J]

Thanks, but how could I put all of them (all of the cells) in one matrix (below each other)?

[Stephen23]

@Mhedi J: each of the Cartesian products has a different number of rows and columns: this means there is no simple way to concatenate them into one matrix. The simplest solution is to leave them in a cell array, otherwise you would have to pad them with NaN or some other value/s and then concatenate them into one matrix.

Here is a simple example of how to use a cell array:

A = 1:3;
N = 4;
C = cell(1,N);
for k = 1:N;
    T = repmat({A},1,1+k);
    [T{:}] = ndgrid(T{:});
    T = cellfun(@(v)v(:),T,'uni',0);
    C{k} = [T{:}];
end