Cell array of coordinates from two vectors

I have two vectors, one with 119 X values and a one with 102 Y values. I'm trying to work out a way to combine these to create to all possible unique sets of coordinates (12,138 unique coordinates). I could use two nested for loops to do it, but it's very slow. I'm struggling to find if theres any combination of matlab functions that could achieve this.

[KSSV]

Have a look on perms

Answer 1

[Stephen23]

No loops required, just use ndgrid and indexing:

>> X = randi(999,119,1); % must be column vector
>> Y = randi(999,102,1); % must be column vector
>> [idx,idy] = ndgrid(1:numel(X),1:numel(Y));
>> M = [X(idx(:)),Y(idy(:))];
>> size(M)
ans =
   12138       2

Here is a simpler example:

>> X = (1:5).';
>> Y = (6:9).';
>> [idx,idy] = ndgrid(1:numel(X),1:numel(Y));
>> M = [X(idx(:)),Y(idy(:))];
>> M
M =
   1   6
   2   6
   3   6
   4   6
   5   6
   1   7
   2   7
   3   7
   4   7
   5   7
   1   8
   2   8
   3   8
   4   8
   5   8
   1   9
   2   9
   3   9
   4   9
   5   9

[LC]

Thanks a lot!

[shashikiran mudavath]

How to acess M ?

Answer 2

[Raghunandan V]

you should you at least one nested loop

for k=1:length(X)

   z=[X(k) Y'];
   perms(Z);

end