# Take cartesian product between lists of tuples and a vector

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mrule on 30 Jan 2015
Commented: Matt J on 30 Jan 2015
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.

Matt J on 30 Jan 2015
Edited: Matt J on 30 Jan 2015
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 on 30 Jan 2015
perfect!
Matt J on 30 Jan 2015
Great, then please do close the question with

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