Find differences in a set of points without a for loop

I a vector of numbers that I am trying to find the differences between each element in the vector without a for loop. Below is a code example. Is there a more efficient way to execute this code without a for loop?

x = rand(20,1);

diff = zeros(length(x),length(x));

for ix = 1:length(x)
    for iy = (ix+1):length(x)
        diff(ix,iy) = abs(x(ix) - x(iy));
    end
end

Answer 1

[Image Analyst]

diff() is a built in function. Don't use it for a variable name.

For a microscopic length such as 20, don't worry about a for loop. It won't take any time at all, and in fact may take less than calling some fancy function.

[Image Analyst]

Richard's "Answer" moved here since it is not an answer to the original question:

Thanks for the help. My actual code has a vector that is much larger. I was just using this as an example.

Answer 2

[Mehri Mehrnia]

I have the question to find all pair-wise difference in a group without loop!

My array in scale of milions!

[Image Analyst]

Try using pdist2, pdist, or diff

Answer 3

[Bruno Luong]

x = randi(10,3,1)

x = 3×1

5 4 8

d = abs(x - x.')

d = 3×3

0 1 3 1 0 4 3 4 0