[section:includes includes]

[heading Prototype]

``
template<class SinglePassRange1, class SinglePassRange2>
bool includes(const SinglePassRange1& rng1, const SinglePassRange2& rng2);

template<
    class SinglePassRange1,
    class SinglePassRange2,
    class BinaryPredicate
    >
bool includes(const SinglePassRange1& rng1, const SinglePassRange2& rng2,
              BinaryPredicate pred);    
``

[heading Description]

`includes` returns `true` if and only if, for every element in `rng2`, an equivalent element is also present in `rng1`.
The ordering relationship is determined by using `operator<` in the non-predicate versions, and by evaluating `pred` in the predicate versions. 

[heading Definition]

Defined in the header file `boost/range/algorithm/set_algorithm.hpp`

[heading Requirements]

[*For the non-predicate versions:]

* `SinglePassRange1` is a model of the __single_pass_range__ Concept.
* `SinglePassRange2` is a model of the __single_pass_range__ Concept.
* `SinglePassRange1` and `SinglePassRange2` have the same value type.
* `SinglePassRange1`'s value type is a model of the `LessThanComparableConcept`.
* `SinglePassRange2`'s value type is a model of the `LessThanComparableConcept`.
* The ordering of objects of type `SinglePassRange1`'s value type is a [*/strict weak ordering/], as defined in the `LessThanComparableConcept` requirements.
* The ordering of objects of type `SinglePassRange2`'s value type is a [*/strict weak ordering/], as defined in the `LessThanComparableConcept` requirements.

[*For the predicate versions:]

* `SinglePassRange1` is a model of the __single_pass_range__ Concept.
* `SinglePassRange2` is a model of the __single_pass_range__ Concept.
* `SinglePassRange1` and `SinglePassRange2` have the same value type.
* `BinaryPredicate` is a model of the `StrictWeakOrderingConcept`.
* `SinglePassRange1`'s value type is convertible to `BinaryPredicate`'s first argument type.
* `SinglePassRange2`'s value type is convertible to `BinaryPredicate`'s second argument types.

[heading Precondition:]

[*For the non-predicate versions:]

`rng1` and `rng2` are sorted in ascending order according to `operator<`.

[*For the predicate versions:]

`rng1` and `rng2` are sorted in ascending order according to `pred`.

[heading Complexity]

Linear. `O(N)`, where `N` is `distance(rng1) + distance(rng2)`.

[endsect]