includes
includes
Category: algorithms
Component type: function
Prototype
Includes is an overloaded name; there are actually two includes
functions.
template <class InputIterator1, class InputIterator2>
bool includes(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2);
template <class InputIterator1, class InputIterator2, class StrictWeakOrdering>
bool includes(InputIterator1 first1, InputIterator1 last1,
InputIterator2 first2, InputIterator2 last2,
StrictWeakOrdering comp);
Description
Includes tests whether one sorted range includes another sorted
range. That is, it returns true if and only if, for every element in
[first2, last2), an equivalent element [1] is also present in
[first1, last1) [2].
Both [first1, last1) and [first2, last2) must be sorted in ascending order.
The two versions of includes differ in how they define whether one
element is less than another. The first version compares
objects using operator<, and the second compares objects using
the function object comp.
Definition
Defined in the standard header algorithm, and in the nonstandard
backward-compatibility header algo.h.
Requirements on types
For the first version:
InputIterator1 is a model of Input Iterator.
InputIterator2 is a model of Input Iterator.
InputIterator1 and InputIterator2 have the same value type.
InputIterator's value type is a model of LessThan Comparable.
The ordering on objects of InputIterator1's value type is a strict
weak ordering, as defined in the LessThan Comparable requirements.
For the second version:
InputIterator1 is a model of Input Iterator.
InputIterator2 is a model of Input Iterator.
InputIterator1 and InputIterator2 have the same value type.
StrictWeakOrdering is a model of Strict Weak Ordering.
InputIterator1's value type is convertible to StrictWeakOrdering's
argument type.
Preconditions
For the first version:
[first1, last1) is a valid range.
[first2, last2) is a valid range.
[first1, last1) is ordered in ascending order according to
operator<. That is, for every pair of iterators i and j
in [first1, last1) such that i precedes j,
*j < *i is false.
[first2, last2) is ordered in ascending order according to
operator<. That is, for every pair of iterators i and j
in [first2, last2) such that i precedes j,
*j < *i is false.
For the second version:
[first1, last1) is a valid range.
[first2, last2) is a valid range.
[first1, last1) is ordered in ascending order according to
comp. That is, for every pair of iterators i and j
in [first1, last1) such that i precedes j,
comp(*j, *i) is false.
[first2, last2) is ordered in ascending order according to
comp. That is, for every pair of iterators i and j
in [first2, last2) such that i precedes j,
comp(*j, *i) is false.
Complexity
Linear. Zero comparisons if either [first1, last1) or [first2, last2)
is an empty range, otherwise at most 2 * ((last1 - first1) + (last2 -
first2)) - 1 comparisons.
Example
int A1[] = { 1, 2, 3, 4, 5, 6, 7 };
int A2[] = { 1, 4, 7 };
int A3[] = { 2, 7, 9 };
int A4[] = { 1, 1, 2, 3, 5, 8, 13, 21 };
int A5[] = { 1, 2, 13, 13 };
int A6[] = { 1, 1, 3, 21 };
const int N1 = sizeof(A1) / sizeof(int);
const int N2 = sizeof(A2) / sizeof(int);
const int N3 = sizeof(A3) / sizeof(int);
const int N4 = sizeof(A4) / sizeof(int);
const int N5 = sizeof(A5) / sizeof(int);
const int N6 = sizeof(A6) / sizeof(int);
cout << "A2 contained in A1: "
<< (includes(A1, A1 + N1, A2, A2 + N2) ? "true" : "false") << endl;
cout << "A3 contained in A1: "
<< (includes(A1, A1 + N2, A3, A3 + N3) ? "true" : "false") << endl;
cout << "A5 contained in A4: "
<< (includes(A4, A4 + N4, A5, A5 + N5) ? "true" : "false") << endl;
cout << "A6 contained in A4: "
<< (includes(A4, A4 + N4, A6, A6 + N6) ? "true" : "false") << endl;
The output is:
A2 contained in A1: true
A3 contained in A1: false
A5 contained in A4: false
A6 contained in A4: true
Notes
[1]
This reads "an equivalent element" rather than "the same element"
because
the ordering by which the input ranges are sorted
is permitted to be a strict weak ordering that is not a total ordering:
there might be values x and y that are
equivalent (that is, neither x < y nor y < x is true) but not
equal. See the LessThan Comparable requirements for a fuller
discussion.)
If you're using a total ordering
(if you're using strcmp, for example, or if you're using
ordinary arithmetic comparison on integers), then you can ignore this
technical distinction: for a total ordering, equality and equivalence
are the same.
[2]
Note that the range [first2, last2) may contain a consecutive range
of equivalent elements: there is no requirement that every element in
the range be unique. In this case, includes will return false
unless, for every element in [first2, last2), a distinct equivalent
element is also present in [first1, last1). That is, if a certain
value appears n times in [first2, last2) and m times in
[first1, last1), then includes will return false if m < n.
See also
set_union, set_intersection, set_difference,
set_symmetric_difference, sort
Copyright ©
1999 Silicon Graphics, Inc. All Rights Reserved.
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