MATLAB: Finding all integer vectors between two vector bounds

Question

I would like to find all the integers vectors between two vector bounds. For instance, suppose that

lb = [0;1;0;1]
ub = [2;1;0;1]

Then the function would return

[0;1;0;1]
[1;1;0;1]
[2;1;0;1]

I need this in arbitrary dimenions n, I plan on evaluate a function that takes each of these vectors as argument.

Thanks!

Answer 1

You can use the FEX submission allcomb( ) by Jos for this:

c = arrayfun(@(a,b)a:b,lb,ub,'uni',false);
result = allcomb(c{:});

The vectors you want are the rows of the result. You can find allcomb here:

https://www.mathworks.com/matlabcentral/fileexchange/10064-allcomb-varargin