Evaluating 2D function on 2D grid without using "for" loops

I have a function f(x,y) and I want to evaluate it on x,y grid. For example,

f = @(x,y) x^2+y^2;
x = 1:10;
y = 1:5;


%one way to do it is using for loops.
for x=1:10
    for y=1:5
        result(x,y) = f(x,y);
    end
end

Is there any way do it without using "for" loops?

[Stephen23]

"Is there any way do it without using "for" loops?"

Why do you want to avoid for loops? Contrary to what some beignners think, (well-written) for loops are not slow.

Is result preallocated before the loops?

https://www.mathworks.com/help/matlab/matlab_prog/preallocating-arrays.html

Answer 1

[Sara Boznik]

f = @(x,y) x.^2+y.^2;
x = 1:10;
y = 1:5;
[X,Y] = meshgrid(x,y);
meshc(X, Y, f(X,Y))
grid on

You can try that.

Best of luck.

[Luqman Saleem]

Actually, the original function is very large and I will have to put (.) in front of all "^" or "*" operators. It also involves matrix multiplication, so, it will just be very messy if I try to put ".". Is there any way to avoid doing it?

[Sara Boznik]

Sorry, I do not know faster way