meshgrid values to function without loop

Hello, i want to give x,y coordinates to a self-written function. The current state is, that i use 2 loops. I think that this is a very ugly and computation consuming solution. Can someone help me to improve this?

x = linspace(0,1,11)  ;
y = linspace(0,1,11)  ;
[X,Y] = meshgrid(x,y) ;

for kk = 1:11
    for nn = 1:11
    Coordinate = [X(kk,nn) Y(kk,nn)];
    
    Z(kk,nn) = f_SomeFunction(Coordinate,someConstant,...);
    
    end
end

[madhan ravi]

Coordinate = [X Y] % doesn't this do what you want? without loop? 

[Nimananda Sharma]

Hi,

It appears that your function accepts only scalar input

One possible solution would to change your function to use maxtrix?

[Christopher Brokmann]

its a very long function (~2k lines) which only accepts scalar inputs... before i take the long challenge to change the function to matrix input, i want to change the loops.

[Matt J]

But the loops don't have any computation in them except your call to f_SomeFunction. There's nothing else there to optimize.

Answer 1

[Rik]

If you are not prepared to change the function to accept non-scalar inputs, you can use this code to implicitly use for-loops. This can be faster in some circumstances, and it may look cleaner (even if that is subjective).

Coordinate = [X Y];
someConstant_array=repmat(someConstant,size(Coordinate));
Z = arrayfun(@f_SomeFunction,Coordinate,someConstant_array);