Matrix of pairs from two arrays in matlab

Question

I have a couple of arrays:

x = [0:pi/16:2*pi] 
y = [0:pi/16:2*pi]

And I want to make a matrix xy in this way:

xY = [(0,0)      (0,pi/16)      ...     (0,2pi);
      (pi/16,0)  (pi/16,pi/16)  ...     (pi/16,2pi);
          :            :                     :
      (2pi,0)    (2pi,pi/16)    ...     (2pi,2pi)]

I've tried many things like this:

for i=1:length(x)
    for j=1:length(y)
        xy{i,j} = [{x(i),y(j)}];
    end
end

, but I have encountered many errors.

I know it should be easy, and the biggest problem is that the title of my post (and because of that, the way I'm looking for help) is wrong, so I apologize for that.

I think I should mention that I'm trying to create a multi-layer perceptron that will get trained with that matrices and this formula:

fxy = cos(x)-3*sin(y);

Thanks in advance!

Answer 1

This is exactly what meshgrid is designed for.

Answer 2

The simplest way is to this is to create matrix of size length(x)-by-length(y)-by-2:

 A = zeros(length(x), length(y), 2);
 for i = 1 : length(x); for j = 1 : length(y); A(i, j, :) = [x(i), y(j)]; end; end;

In your case, matrix A will have size 33x33x2. To get pair using indexes i, j use the following code:

 squeeze(A(i, j, :))

Or you can adjust your code to work with such 3-dimensional matrix.