All the combinations for 3 variables

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Salad Box
Salad Box 2023-1-13
评论： Salad Box 2023-1-13
Hi,
I have 3 variables, each of which is an array containing differnet numbers of elements.
If I take a simple case as an example, for instance,
x = [0, 1];
y = [0, 1];
z = [0, 1];
Then in reality I would have in total 8 different combinations of xyz that are xyz =
[0 0 0;
0 0 1;
0 1 0;
0 1 1;
1 0 0;
1 0 1;
1 1 0;
1 1 1];
I wonder whether Matlab has a function for this application or do I have to loop it and write my own algorithm in order to obtain all different combinations.
If there is a function, I expect it to be more robust for cases that x, y and z doesn't have to be the same length. In another word, x, y and z doesnt have to contain same number of elements.
Because in reality I would have a lot of points in each of those x, y and z, if I loop it it is gonna take forever I guess.

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Torsten
Torsten 2023-1-13
编辑：Torsten 2023-1-13
Ran in:
https://de.mathworks.com/matlabcentral/fileexchange/5475-cartprod-cartesian-product-of-multiple-sets
https://de.mathworks.com/matlabcentral/fileexchange/5898-setprod
Or use ndgrid:
x = [0, 1];
y = [0, 1];
z = [0, 1];
[X,Y,Z] = ndgrid(x,y,z);
result = [X(:) Y(:) Z(:)]
result = 8×3
0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 1

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