how to generate a matrix with all possible combinations in an efficient way

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mohamed Faraj
mohamed Faraj 2019-8-30
回答： Guillaume 2019-8-30
I have n=1:4 and m=3, and I want to generate a matrix S whose rows are all the possible combinations.. i.e., S has 4^3 rows and 3columns. What is the mist efficient way to do this as I want to extend matrix to be of 50^10 rows and 10 columns (very large)
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Guillaume
Guillaume 2019-8-30
very large is a massive understatement, as Bruno says. Looking a this wikipedia entry, you might be able to store your matrix if you manage to convice google to lend you all of their data centres. Good luck!
mohamed Faraj
mohamed Faraj 2019-8-30
I agree with you. The matrix may be of a manegable size. e.g., 20^5 or 10^5 rows and 5 columns

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Guillaume
Guillaume 2019-8-30
For reasonable n and m you can either use Jos' allcomb or the following:
%n: a vector of numbers
%m: a scalar integer
allcombs = cell(1, m);
[allcombs{:}] = ndgrid(n);
allcombs = reshape(cat(m+1, allcombs{:}), [], m);

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