Constructs a set backed by the specified navigable map.
Constructs a new, empty tree set, sorted according to the natural ordering of its elements. All elements inserted into the set must implement the {@link Comparable} interface. Furthermore, all such elements must be <i>mutually comparable</i>: {@code e1.compareTo(e2)} must not throw a {@code ClassCastException} for any elements {@code e1} and {@code e2} in the set. If the user attempts to add an element to the set that violates this constraint (for example, the user attempts to add a string element to a set whose elements are integers), the {@code add} call will throw a {@code ClassCastException}.
Constructs a new, empty tree set, sorted according to the specified comparator. All elements inserted into the set must be <i>mutually comparable</i> by the specified comparator: {@code comparator.compare(e1, e2)} must not throw a {@code ClassCastException} for any elements {@code e1} and {@code e2} in the set. If the user attempts to add an element to the set that violates this constraint, the {@code add} call will throw a {@code ClassCastException}.
Constructs a new tree set containing the elements in the specified collection, sorted according to the <i>natural ordering</i> of its elements. All elements inserted into the set must implement the {@link Comparable} interface. Furthermore, all such elements must be <i>mutually comparable</i>: {@code e1.compareTo(e2)} must not throw a {@code ClassCastException} for any elements {@code e1} and {@code e2} in the set.
Adds the specified element to this set if it is not already present. More formally, adds the specified element {@code e} to this set if the set contains no element {@code e2} such that <tt>(e==null ? e2==null : e.equals(e2))</tt>. If this set already contains the element, the call leaves the set unchanged and returns {@code false}.
Adds all of the elements in the specified collection to this set.
@throws ClassCastException {@inheritDoc} @throws NullPointerException if the specified element is null and this set uses natural ordering, or its comparator does not permit null elements @since 1.6
Removes all of the elements from this set. The set will be empty after this call returns.
Returns {@code true} if this set contains the specified element. More formally, returns {@code true} if and only if this set contains an element {@code e} such that <tt>(o==null ? e==null : o.equals(e))</tt>.
@throws NoSuchElementException {@inheritDoc}
@throws ClassCastException {@inheritDoc} @throws NullPointerException if the specified element is null and this set uses natural ordering, or its comparator does not permit null elements @since 1.6
@throws ClassCastException {@inheritDoc} @throws NullPointerException if {@code toElement} is null and this set uses natural ordering, or its comparator does not permit null elements @throws IllegalArgumentException {@inheritDoc} @since 1.6
@throws ClassCastException {@inheritDoc} @throws NullPointerException if {@code toElement} is null and this set uses natural ordering, or its comparator does not permit null elements @throws IllegalArgumentException {@inheritDoc}
@throws ClassCastException {@inheritDoc} @throws NullPointerException if the specified element is null and this set uses natural ordering, or its comparator does not permit null elements @since 1.6
Returns {@code true} if this set contains no elements.
Returns an iterator over the elements in this set in ascending order.
@throws NoSuchElementException {@inheritDoc}
@throws ClassCastException {@inheritDoc} @throws NullPointerException if the specified element is null and this set uses natural ordering, or its comparator does not permit null elements @since 1.6
Constructs a new tree set containing the same elements and using the same ordering as the specified sorted set.
Creates a <em><a href="Spliterator.html#binding">late-binding</a></em> and <em>fail-fast</em> {@link Spliterator} over the elements in this set.
@since 1.6
@since 1.6
Removes the specified element from this set if it is present. More formally, removes an element {@code e} such that <tt>(o==null ? e==null : o.equals(e))</tt>, if this set contains such an element. Returns {@code true} if this set contained the element (or equivalently, if this set changed as a result of the call). (This set will not contain the element once the call returns.)
Returns the number of elements in this set (its cardinality).
@throws ClassCastException {@inheritDoc} @throws NullPointerException if {@code fromElement} or {@code toElement} is null and this set uses natural ordering, or its comparator does not permit null elements @throws IllegalArgumentException {@inheritDoc} @since 1.6
@throws ClassCastException {@inheritDoc} @throws NullPointerException if {@code fromElement} or {@code toElement} is null and this set uses natural ordering, or its comparator does not permit null elements @throws IllegalArgumentException {@inheritDoc}
@throws ClassCastException {@inheritDoc} @throws NullPointerException if {@code fromElement} is null and this set uses natural ordering, or its comparator does not permit null elements @throws IllegalArgumentException {@inheritDoc} @since 1.6
@throws ClassCastException {@inheritDoc} @throws NullPointerException if {@code fromElement} is null and this set uses natural ordering, or its comparator does not permit null elements @throws IllegalArgumentException {@inheritDoc}
A {@link NavigableSet} implementation based on a {@link TreeMap}. The elements are ordered using their {@linkplain Comparable natural ordering}, or by a {@link Comparator} provided at set creation time, depending on which constructor is used.
<p>This implementation provides guaranteed log(n) time cost for the basic operations ({@code add}, {@code remove} and {@code contains}).
<p>Note that the ordering maintained by a set (whether or not an explicit comparator is provided) must be <i>consistent with equals</i> if it is to correctly implement the {@code Set} interface. (See {@code Comparable} or {@code Comparator} for a precise definition of <i>consistent with equals</i>.) This is so because the {@code Set} interface is defined in terms of the {@code equals} operation, but a {@code TreeSet} instance performs all element comparisons using its {@code compareTo} (or {@code compare}) method, so two elements that are deemed equal by this method are, from the standpoint of the set, equal. The behavior of a set <i>is</i> well-defined even if its ordering is inconsistent with equals; it just fails to obey the general contract of the {@code Set} interface.
<p><strong>Note that this implementation is not synchronized.</strong> If multiple threads access a tree set concurrently, and at least one of the threads modifies the set, it <i>must</i> be synchronized externally. This is typically accomplished by synchronizing on some object that naturally encapsulates the set. If no such object exists, the set should be "wrapped" using the {@link Collections#synchronizedSortedSet Collections.synchronizedSortedSet} method. This is best done at creation time, to prevent accidental unsynchronized access to the set: <pre> SortedSet s = Collections.synchronizedSortedSet(new TreeSet(...));</pre>
<p>The iterators returned by this class's {@code iterator} method are <i>fail-fast</i>: if the set is modified at any time after the iterator is created, in any way except through the iterator's own {@code remove} method, the iterator will throw a {@link ConcurrentModificationException}. Thus, in the face of concurrent modification, the iterator fails quickly and cleanly, rather than risking arbitrary, non-deterministic behavior at an undetermined time in the future.
<p>Note that the fail-fast behavior of an iterator cannot be guaranteed as it is, generally speaking, impossible to make any hard guarantees in the presence of unsynchronized concurrent modification. Fail-fast iterators throw {@code ConcurrentModificationException} on a best-effort basis. Therefore, it would be wrong to write a program that depended on this exception for its correctness: <i>the fail-fast behavior of iterators should be used only to detect bugs.</i>
<p>This class is a member of the <a href="{@docRoot}/../technotes/guides/collections/index.html"> Java Collections Framework</a>.
@param (E) the type of elements maintained by this set
@author Josh Bloch @see Collection @see Set @see HashSet @see Comparable @see Comparator @see TreeMap @since 1.2