# Changing array elements relative to it's size and position in the array

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Tim David on 16 May 2021
Commented: Tim David on 18 May 2021
If I have an array such as:
R = [0, 0, 4, 0, 1, 0, 0, 0, 0, 6];
I want to code it so that all elements are checked and if the number in that element is greater than the gap between it and the next non-zero element, it is reduced to the (gap distance minus 1)
IE, R(1), R(2) etc are 0 so remains 0. R(3) is checked to be 4, has a distance of 2 until the next non-zero entry so is reduced to 1. R(5) is checked to be 1, there is no non-zero entry within 1 space so it remains 1. R(10) is 6 and has a distance of 3 until the next non zero entry so is reduced to 2. etc
Sorry if that's poorly explained. I'm very new to Matlab and this one has stumped me so any help or starting points will be appreciated.
##### 2 CommentsShowHide 1 older comment
Tim David on 16 May 2021
yes, the gap distance means how many elements away and has nothing to do with the difference value, and you only look right.
I should have been more clear, this is a circular system so R(10) moves over to R(1) and so on and repeats, so R(10) is 3 elements away from R(3).

the cyclist on 16 May 2021
Edited: the cyclist on 16 May 2021
I think this does what you want:
% Original data
R = [0, 0, 4, 0, 1, 0, 0, 0, 0, 6];
% Identify the non-zero elements of R
isNonZero = R>0;
nonzeroR = R(isNonZero);
% The positional index of the non-zero elements
nonZeroIndex = find(isNonZero);
% Calculate the gaps
gap = [diff(nonZeroIndex) (nonZeroIndex(1)+numel(R))-nonZeroIndex(end)];
% Reduce the non-zero values of R to (gap-1)
newNonZeroR = min(nonzeroR,gap-1);
% Re-insert the new values into the vector
R(isNonZero) = newNonZeroR;
Tim David on 18 May 2021
Thank you.

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