MATLAB: Replace each element of a matrix with the number it is closest to in a set of discrete values without using for loop

loopsmatrix replacementrounding

I have a set of discrete values in the row vector <list>. I want to take a vector M of real doubles, and for each element M(j) in M I want to replace M(j) with the element in <list> that is closest to M(i) on the number line. For example, if my list was [2 4] and my matrix was [1.1, 3.2, 5, -17], the resulting matrix would be [2, 4, 4, 2].
I know I can do this with a for loop:
for j=1:length(M)
[m mn]=min(abs(list-M(j)));
Is there any way to do this without a for loop?

Best Answer

  • A = [2 4], B = [1.1, 3.2, 5, -17]
    [~, ii] = min(abs(bsxfun(@minus,B(:),A(:).')),[],2); % MATLAB <= R2016a
    [~, ii] = min(abs(B(:) - A(:).'),[],2); % MATLAB >= R2016b
    out = A(ii)
    F = griddedInterpolant(A,'nearest');
    out = F(B)
    out = interp1(A,B,'nearest','extrap');