As correctly pointed by you, the loop stops because the condition in the while loop is in vectorized form and whenever any one set of values for ‘x’,’y’ and ‘z’ surpasses the condition, it breaks.
To prevent this, you can take the help of logical indexing to frame the loop condition, ensuring it only includes those indices of the ‘x’,’y’ and ‘z’ vectors for which the ‘sqrt(x.^2 + y.^2 + z.^2)’ is still less than 1. This way, all further computations can be made to only those indices.
Here’s a sample code to demonstrate the following:
res = sqrt(x.^2 + y.^2 + z.^2);
on = find(res<1);
while(sqrt(x(on).^2+y(on).^2+z(on).^2)<1) % check only for the indices under consideration
x(on) = x(on)+0.1;
y(on) = y(on)+0.1; %computations for the indices
z(on) = z(on)+0.1; %under consideration
res = sqrt(x.^2 + y.^2 + z.^2);
on = find(res<1); %see which new indices satisfy the condition
end
Following this, with the provided ‘x’,’y’ and ‘z’ vectors, the loop only terminates when all sets of values for ‘x’,’y’ and ‘z’ fails the loop condition, as confirmed by the variable 'res' after the termination of the loop.
To learn more about vectorization and how to handle it using logical indexing, you can refer the documentation by visiting the documentation page after executing the following command from the MATLAB Command Window:
doc vectorization
Hope this helps!
