1 | function [c,a_match,b_match] = union_sorted(a,b)
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2 | %UNION_SORTED Set union of sorted sets.
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3 | % UNION_SORTED(A,B) where A and B are vectors returns the combined values
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4 | % from A and B with no repetitions. A (and B) must be sorted and unique, and
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5 | % the result will be sorted and unique.
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6 | %
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7 | % [C,A_MATCH,B_MATCH] = UNION_SORTED(A,B) also returns
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8 | % A_MATCH = MATCH_SORTED(A,C)
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9 | % B_MATCH = MATCH_SORTED(B,C)
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10 | %
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11 | % Examples:
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12 | % union_sorted([20 30 40], [10 20 30])
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13 | % [c,a_match,b_match] = union_sorted([20 30 40], [10 20 30])
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14 |
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15 | % Written by Tom Minka
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16 | % (c) Microsoft Corporation. All rights reserved.
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17 |
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18 | % instead of a full sort, you could do a merge of the two sorted lists.
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19 | if nargout <= 1
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20 | c = sort([a(~ismember_sorted(a,b)) b]);
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21 | else
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22 | [tf,loc] = ismember_sorted(a,b);
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23 | [c,i] = sort([a(~tf) b]);
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24 | % c = [a(~tf) b](i)
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25 | nc = length(c);
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26 | nb = length(b);
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27 | na = length(a);
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28 | index = zeros(1,nc);
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29 | index(i) = 1:nc;
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30 | % c(index) = [a(~tf) b]
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31 | b_match = index((nc-nb+1):nc);
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32 | a_match = zeros(1,na);
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33 | a_match(~tf) = index(1:(nc-nb));
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34 | a_match(tf) = b_match(loc(tf));
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35 | end
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