calculate the number of slope sign changes within a bin of data in matlab

main.m
% Generate some sample data
x = linspace(0, 2*pi, 100);
y = sin(x);

% Set the bin size (in number of points)
bin_size = 10;

% Initialize the count
count = 0;

% Iterate over the data in bins of size bin_size
for i = 1:bin_size:length(y)-bin_size+1
    % Calculate the slopes between adjacent points in the bin
    slopes = diff(y(i:i+bin_size-1));
    
    % Count the number of times the sign of the slope changes
    for j = 1:length(slopes)-1
        if sign(slopes(j)) ~= sign(slopes(j+1))
            count = count + 1;
        end
    end
end

% Output the result
disp(['Number of slope sign changes in bin of size ', num2str(bin_size), ': ', num2str(count)]);
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