Given a couple of vectors with priorities, is there a fast built-in function to find the index of the largest value?
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Consider that there exist three 10-dimensional vectors p1, p2, and p3, and the priority is given in order p1>p2>p3.
I want to find an index that is the largest in p1, the largest in p2 in case of a tie in p1, the largest in p3 in case of a tie in both p1 and p2, and randomly selected in case of a tie in all p1, p2, and p3.
That is, the code can be constructed as follows for given p1, p2, p3.
p1 = [1, 9, 3, 8, 4, 9, 1, 9, 5, 9]; % given
p2 = [5, 15, 6, 7, 10, 10, 5, 15, 1, 15]; % given
p3 = [1, 25, 3, 4, 11, 4, 1, 25, 99, 15]; % given
ind_p1 = (p1 == max(p1)); % Output: ind_p1 = [0, 1, 0, 0, 0, 1, 0, 1, 0, 1]
p2_prime = p2.*ind_p1; % Output: p2_prime = [0, 15, 0, 0, 0, 10, 0, 15, 0, 15]
ind_p2 = (p2_prime == max(p2_prime)); % ind_p2 = [0, 1, 0, 0, 0, 0, 0, 1, 0, 1]
p3_prime = p3.*ind_p2; % p3_prime = [0, 25, 0, 0, 0, 0, 0, 25, 0, 15]
ind_p3 = find(p3_prime == max(p3_prime)); % ind_p3 = [2, 8]
ind = ind_p3(randi(length(ind_p3))); % ind = 2 or 8
result = [ind, p1(ind), p2(ind), p3(ind)]; % result = [2, 9, 15, 25] or [8, 9, 15, 25]
I think the code for the above purpose will be used a lot in a wide variety of places.
Are there any quick (or code-readable) built-in MATLAB functions to produce the above results?
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Bruno Luong
2020-8-15
编辑:Bruno Luong
2020-8-15
p1 = [1, 9, 3, 8, 4, 9, 1, 9, 5, 9]; % given
p2 = [5, 15, 6, 7, 10, 10, 5, 15, 1, 15]; % given
p3 = [1, 25, 3, 4, 11, 4, 1, 25, 99, 15]; % given
[pmax,loc] = sortrows([p1;p2;p3]');
result = [loc(end),pmax(end,:)]
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