java.util

## Interface SortedSet<E>

- Type Parameters:
    `E` - the type of elements maintained by this set
  All Superinterfaces:
    Collection<E>, Iterable<E>, Set<E>
  All Known Subinterfaces:
    NavigableSet<E>
  All Known Implementing Classes:
    ConcurrentSkipListSet, TreeSet

      public interface SortedSet<E>
      extends Set<E>

  A `Set` that further provides a total ordering on its elements. The elements are ordered using their natural ordering, or by a `Comparator` typically provided at sorted set creation time. The set's iterator will traverse the set in ascending element order. Several additional operations are provided to take advantage of the ordering. (This interface is the set analogue of `SortedMap`.)

  All elements inserted into a sorted set must implement the `Comparable` interface (or be accepted by the specified comparator). Furthermore, all such elements must be mutually comparable: `e1.compareTo(e2)` (or `comparator.compare(e1, e2)`) must not throw a `ClassCastException` for any elements `e1` and `e2` in the sorted set. Attempts to violate this restriction will cause the offending method or constructor invocation to throw a `ClassCastException`.

  Note that the ordering maintained by a sorted set (whether or not an explicit comparator is provided) must be consistent with equals if the sorted set is to correctly implement the `Set` interface. (See the `Comparable` interface or `Comparator` interface for a precise definition of consistent with equals.) This is so because the `Set` interface is defined in terms of the `equals` operation, but a sorted set performs all element comparisons using its `compareTo` (or `compare`) method, so two elements that are deemed equal by this method are, from the standpoint of the sorted set, equal. The behavior of a sorted set is well-defined even if its ordering is inconsistent with equals; it just fails to obey the general contract of the `Set` interface.

  All general-purpose sorted set implementation classes should provide four "standard" constructors: 1) A void (no arguments) constructor, which creates an empty sorted set sorted according to the natural ordering of its elements. 2) A constructor with a single argument of type `Comparator`, which creates an empty sorted set sorted according to the specified comparator. 3) A constructor with a single argument of type `Collection`, which creates a new sorted set with the same elements as its argument, sorted according to the natural ordering of the elements. 4) A constructor with a single argument of type `SortedSet`, which creates a new sorted set with the same elements and the same ordering as the input sorted set. There is no way to enforce this recommendation, as interfaces cannot contain constructors.

  Note: several methods return subsets with restricted ranges. Such ranges are half-open, that is, they include their low endpoint but not their high endpoint (where applicable). If you need a closed range (which includes both endpoints), and the element type allows for calculation of the successor of a given value, merely request the subrange from `lowEndpoint` to `successor(highEndpoint)`. For example, suppose that `s` is a sorted set of strings. The following idiom obtains a view containing all of the strings in `s` from `low` to `high`, inclusive:

         SortedSet<String> sub = s.subSet(low, high+"\0");

  A similar technique can be used to generate an open range (which contains neither endpoint). The following idiom obtains a view containing all of the Strings in `s` from `low` to `high`, exclusive:

         SortedSet<String> sub = s.subSet(low+"\0", high);

  This interface is a member of the Java Collections Framework.

  Since:
    1.2
  Author:
    Josh Bloch
  See Also:
    `Set`, `TreeSet`, `SortedMap`, `Collection`, `Comparable`, `Comparator`, `ClassCastException`

- - ### Method Summary

    All Methods Instance Methods Abstract Methods
    Modifier and Type | Method and Description
    --- | ---
    `Comparator<? super E>` | `comparator()` Returns the comparator used to order the elements in this set, or `null` if this set uses the natural ordering of its elements.
    `E` | `first()` Returns the first (lowest) element currently in this set.
    `SortedSet<E>` | `headSet(E toElement)` Returns a view of the portion of this set whose elements are strictly less than `toElement`.
    `E` | `last()` Returns the last (highest) element currently in this set.
    `SortedSet<E>` | `subSet(E fromElement, E toElement)` Returns a view of the portion of this set whose elements range from `fromElement`, inclusive, to `toElement`, exclusive.
    `SortedSet<E>` | `tailSet(E fromElement)` Returns a view of the portion of this set whose elements are greater than or equal to `fromElement`.

    - ### Methods inherited from interface java.util.Set

      `add, addAll, clear, contains, containsAll, equals, hashCode, isEmpty, iterator, remove, removeAll, retainAll, size, toArray, toArray`

    - ### Methods inherited from interface java.util.Collection

      `parallelStream, removeIf, spliterator, stream`

    - ### Methods inherited from interface java.lang.Iterable

      `forEach`

- - ### Method Detail

    - #### comparator

          Comparator<? super E> comparator()

      Returns the comparator used to order the elements in this set, or `null` if this set uses the natural ordering of its elements.
      Returns:
        the comparator used to order the elements in this set, or `null` if this set uses the natural ordering of its elements

    - #### subSet

          SortedSet<E> subSet(E fromElement,
                              E toElement)

      Returns a view of the portion of this set whose elements range from `fromElement`, inclusive, to `toElement`, exclusive. (If `fromElement` and `toElement` are equal, the returned set is empty.) The returned set is backed by this set, so changes in the returned set are reflected in this set, and vice-versa. The returned set supports all optional set operations that this set supports.

      The returned set will throw an `IllegalArgumentException` on an attempt to insert an element outside its range.

      Parameters:
        `fromElement` - low endpoint (inclusive) of the returned set
        `toElement` - high endpoint (exclusive) of the returned set
      Returns:
        a view of the portion of this set whose elements range from `fromElement`, inclusive, to `toElement`, exclusive
      Throws:
        `ClassCastException` - if `fromElement` and `toElement` cannot be compared to one another using this set's comparator (or, if the set has no comparator, using natural ordering). Implementations may, but are not required to, throw this exception if `fromElement` or `toElement` cannot be compared to elements currently in the set.
        `NullPointerException` - if `fromElement` or `toElement` is null and this set does not permit null elements
        `IllegalArgumentException` - if `fromElement` is greater than `toElement`; or if this set itself has a restricted range, and `fromElement` or `toElement` lies outside the bounds of the range

    - #### headSet

          SortedSet<E> headSet(E toElement)

      Returns a view of the portion of this set whose elements are strictly less than `toElement`. The returned set is backed by this set, so changes in the returned set are reflected in this set, and vice-versa. The returned set supports all optional set operations that this set supports.

      The returned set will throw an `IllegalArgumentException` on an attempt to insert an element outside its range.

      Parameters:
        `toElement` - high endpoint (exclusive) of the returned set
      Returns:
        a view of the portion of this set whose elements are strictly less than `toElement`
      Throws:
        `ClassCastException` - if `toElement` is not compatible with this set's comparator (or, if the set has no comparator, if `toElement` does not implement `Comparable`). Implementations may, but are not required to, throw this exception if `toElement` cannot be compared to elements currently in the set.
        `NullPointerException` - if `toElement` is null and this set does not permit null elements
        `IllegalArgumentException` - if this set itself has a restricted range, and `toElement` lies outside the bounds of the range

    - #### tailSet

          SortedSet<E> tailSet(E fromElement)

      Returns a view of the portion of this set whose elements are greater than or equal to `fromElement`. The returned set is backed by this set, so changes in the returned set are reflected in this set, and vice-versa. The returned set supports all optional set operations that this set supports.

      The returned set will throw an `IllegalArgumentException` on an attempt to insert an element outside its range.

      Parameters:
        `fromElement` - low endpoint (inclusive) of the returned set
      Returns:
        a view of the portion of this set whose elements are greater than or equal to `fromElement`
      Throws:
        `ClassCastException` - if `fromElement` is not compatible with this set's comparator (or, if the set has no comparator, if `fromElement` does not implement `Comparable`). Implementations may, but are not required to, throw this exception if `fromElement` cannot be compared to elements currently in the set.
        `NullPointerException` - if `fromElement` is null and this set does not permit null elements
        `IllegalArgumentException` - if this set itself has a restricted range, and `fromElement` lies outside the bounds of the range

    - #### first

          E first()

      Returns the first (lowest) element currently in this set.
      Returns:
        the first (lowest) element currently in this set
      Throws:
        `NoSuchElementException` - if this set is empty

    - #### last

          E last()

      Returns the last (highest) element currently in this set.
      Returns:
        the last (highest) element currently in this set
      Throws:
        `NoSuchElementException` - if this set is empty

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