Gracesmith97 asked . 2020-03-04

How to plot rastrigin function in matlab

I'm trying to plot rastrigin function this way

clear; clc; close all;
limits = repmat([-5 5], 2, 1);
[X,Y] = meshgrid(linspace(limits(1,1),limits(1,2),100),...
                   linspace(limits(2,1),limits(2,2),100));
Z = reshape(rastrigin([X(:)'; Y(:)']), 100, 100);
surf(X,Y,Z);
axis([-5 5 -5 5 0 90]);
shading interp

rastrigin.m

function [y] = rastrigin(x)
    d = length(x);
    sq = x.^2;   
    y = 10*d + sum(sq - 10*cos(2*pi*x));
end

But I'm getting empty figure

plot

Expert Answer

Kshitij Singh answered . 2024-12-21 15:25:46

Your scaling seems to be out of whack--adding 10+length(x) is creating a Z of

>> [min(Z(:)) max(Z(:))]
ans =
 1.0e+03 *
  0.9810    1.0604
>>

Hence your axis command puts the Z axis range quite a long distance below where the data values are.

It appears from the functional definition, the offset factor you're looking for would be 20; 2X the scale factor of the cosine term. If I do that and then

zlim([0 90])

get an interesting figure, indeed. Hadn't heard of the rastrigin function...

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