Пересечение множеств

Intersect

Find set intersection of two vectors

c = intersect(A, B) returns the values common to both A and B. In set theoretic terms, this is A[[INTERSECT]] B. Inputs A and B can be numeric or character vectors or cell arrays of strings. The resulting vector is sorted in ascending order.

c = intersect(A, B, 'rows') when A and B are matrices with the same number of columns returns the rows common to both A and B.

[c, ia, ib] = intersect(a, b) also returns column index vectors ia and ib such that c = a(ia) and c = b(ib) (or c = a(ia,:) and c = b(ib,:)).

A = [1 2 3 6]; B = [1 2 3 4 6 10 20];

[c, ia, ib] = intersect(A, B);

disp([c; ia; ib])

1 2 3 6

1 2 3 4

1 2 3 5

Setdiff

Find set difference of two vectors

c = setdiff(A, B) returns the values in A that are not in B. In set theory terms, c = A - B. Inputs A and B can be numeric or character vectors or cell arrays of strings. The resulting vector is sorted in ascending order.

c = setdiff(A, B, 'rows'), when A and B are matrices with the same number of columns, returns the rows from A that are not in B.

[c,i] = setdiff(...) also returns an index vector index such that c = a(i) or c = a(i,:).

A = magic(5);

B = magic(4);

[c, i] = setdiff(A(:), B(:));

c' = 17 18 19 20 21 22 23 24 25

i' = 1 10 14 18 19 23 2 6 15

Setxor

Find set exclusive OR of two vectors (исключительное «или», без пересечения)

c = setxor(A, B) returns the values that are not in the intersection of A and B. Inputs A and B can be numeric or character vectors or cell arrays of strings. The resulting vector is sorted.

c = setxor(A, B, 'rows'), when A and B are matrices with the same number of columns, returns the rows that are not in the intersection of A and B.

[c, ia, ib] = setxor(...) also returns index vectors ia and ib such that c is a sorted combination of the elements c = a(ia) and c = b(ib) or, for row combinations, c = a(ia,:) and c = b(ib,:).

a = [-1 0 1 Inf -Inf NaN];

b = [-2 pi 0 Inf];

c = setxor(a, b)

c =

-Inf -2.0000 -1.0000 1.0000 3.1416 NaN

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