create a vector ,of sets of predefined numbers stored in another row vectors

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Guys,I have two row vectors X=[3:6] and Y=[8:27].I want to create and store all possible combinations of (X,Y) in another vector ,say Z.
So my Z will be, Z=[(3,8) (3,9) (3,10)...(3,27) (4,8) (4,9)......(6,26) (6,27)]

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Guillaume
Guillaume 2015-3-3
This is called the Cartesian product of the two sets.
A fairly straightforward way is to use ndgrid:
x = 3:6;
y = 8:27;
[xx, yy] = ndgrid(x, y);
cartprod = [xx(:) yy(:)]
This works also for more than two vectors:
x = 3:6;
y = 8:27;
z = 2:2:8;
[xx, yy, zz] = ndgrid(x, y, z);
cartprod = [xx(:) yy(:) zz(:)]
  3 个评论
Ace_ventura
Ace_ventura 2015-3-3
Just one more thing. I want to extract 3rd set i.e. (5,8)..however when i tried cartprod(3),it gives me 5. I want to obtain that set value i.e. 5 and 8

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James Tursa
James Tursa 2015-3-3
编辑:James Tursa 2015-3-3
Not sure how you want the answer actually stored (the syntax in your example isn't clear), but here is one way:
XX = repmat(X(:)',numel(Y),1);
YY = repmat(Y(:),1,numel(X));
Z = [XX(:) YY(:)];

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