All the combinations for 3 variables

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.

Answer 1

[Torsten]

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

[Salad Box]

That worked perfectly. Thank you very much.:)