`next_permutation` transforms the range of elements `rng` into the lexicographically next greater permutation of the elements if such a permutation exists. If one does not exist then the range is transformed into the lexicographically smallest permutation and `false` is returned. `true` is returned when the next greater permutation is successfully generated.
The ordering relationship is determined by using `operator<` in the non-predicate versions, and by evaluating `pred` in the predicate versions.
Defined in the header file `boost/range/algorithm/permutation.hpp`
[heading Requirements]
[*For the non-predicate versions:]
* `BidirectionalRange` is a model of the __bidirectional_range__ Concept.
* `BidirectionalRange` is mutable.
* `BidirectionalRange`'s value type is a model of the `LessThanComparableConcept`.
* The ordering of objects of type `BidirectionalRange`'s value type is a [*/strict weak ordering/], as defined in the `LessThanComparableConcept` requirements.
[*For the predicate versions:]
* `BidirectionalRange` is a model of the __bidirectional_range__ Concept.
* `BidirectionalRange` is mutable.
* `Compare` is a model of the `StrictWeakOrderingConcept`.
* `BidirectionalRange`'s value type is convertible to both of `Compare`'s argument types.