Take cartesian product between lists of tuples and a vector

I know matlab doesn't have tuples or vectors, but what I mean is say I have

A = [ 0 1 ; 2 3 ]
B = [ 4 5 ; 6 7 ]
C = [ 0 1 ]

I'd like to take the cartesian product of these items, like the "product" function from itertools in python.

product(A,B,C) = 
[ 0 1 4 5 0; 
  0 1 4 5 1; 
  0 1 6 7 0; 
  0 1 6 7 1; 
  2 3 4 5 0; 
  2 3 4 5 1; 
  2 3 6 7 0; 
  2 3 6 7 1]

Is there a function in matlab that does this, accepting an arbitrary number of arguments? All the examples say "use meshgrid" which doesn't work in this case since that only takes the product of 2 or 3 vectors.

[Mike Croucher]

Use the combinations function. New in R2023a The new combinations function in MATLAB – for cartesian products and parameter sweeps » The MATLAB Blog - MATLAB & Simulink (mathworks.com)

Answer 1

[Matt J]

Use ndgrid.

      ma=size(A,1);
      mb=size(B,1);
      mc=size(C,1);

      [a,b,c]=ndgrid(1:ma,1:mb,1:mc);

       product = [A(a,:),B(b,:),C(c,:)]

                    product =

                         0     1     4     5     0
                         2     3     4     5     0
                         0     1     6     7     0
                         2     3     6     7     0
                         0     1     4     5     1
                         2     3     4     5     1
                         0     1     6     7     1
                         2     3     6     7     1

[mrule]

perfect!

[Matt J]

Great, then please do close the question with

Answer 2

[saeed oveisi]

You can also use:

https://www.mathworks.com/matlabcentral/fileexchange/103465-cartesianprod