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[section:stable_sort stable_sort]
[heading Prototype]
``
template<class RandomAccessRange>
RandomAccessRange& stable_sort(RandomAccessRange& rng);
template<class RandomAccessRange>
const RandomAccessRange& stable_sort(const RandomAccessRange& rng);
template<class RandomAccessRange, class BinaryPredicate>
RandomAccessRange& stable_sort(RandomAccessRange& rng, BinaryPredicate pred);
template<class RandomAccessRange, class BinaryPredicate>
const RandomAccessRange& stable_sort(const RandomAccessRange& rng, BinaryPredicate pred);
``
[heading Description]
`stable_sort` sorts the elements in `rng` into ascending order. `stable_sort` is guaranteed to be stable. The order is preserved for equivalent elements.
For versions of the `stable_sort` function without a predicate ascending order is defined by `operator<()` such that for all adjacent elements `[x,y]`, `y < x == false`.
For versions of the `stable_sort` function with a predicate, ascending order is designed by `pred` such that for all adjacent elements `[x,y]`, `pred(y,x) == false`.
[heading Definition]
Defined in the header file `boost/range/algorithm/stable_sort.hpp`
[heading Requirements]
[*For versions of stable_sort without a predicate]
* `RandomAccessRange` is a model of the __random_access_range__ Concept.
* `RandomAccessRange` is mutable.
* `RandomAccessRange`'s value type is a model of the `LessThanComparableConcept`.
* The ordering relation on `RandomAccessRange`'s value type is a [*strict weak ordering], as defined in the `LessThanComparableConcept` requirements.
[*For versions of stable_sort with a predicate:]
* `RandomAccessRange` is a model of the __random_access_range__ Concept.
* `RandomAccessRange` is mutable.
* `BinaryPredicate` is a model of the `StrictWeakOrderingConcept`.
* `RandomAccessRange`'s value type is convertible to both of `BinaryPredicate`'s argument types.
[heading Complexity]
Best case: `O(N)` where `N` is `distance(rng)`.
Worst case: `O(N log(N)^2)` comparisons, where `N` is `distance(rng)`.
[endsect]