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+/*
+ * Written by Doug Lea and Josh Bloch with assistance from members of JCP
+ * JSR-166 Expert Group and released to the public domain, as explained at
+ * http://creativecommons.org/licenses/publicdomain
+ */
+
+package java.util;
+
+/**
+ * A {@link SortedSet} extended with navigation methods reporting
+ * closest matches for given search targets. Methods {@code lower},
+ * {@code floor}, {@code ceiling}, and {@code higher} return elements
+ * respectively less than, less than or equal, greater than or equal,
+ * and greater than a given element, returning {@code null} if there
+ * is no such element. A {@code NavigableSet} may be accessed and
+ * traversed in either ascending or descending order. The {@code
+ * descendingSet} method returns a view of the set with the senses of
+ * all relational and directional methods inverted. The performance of
+ * ascending operations and views is likely to be faster than that of
+ * descending ones. This interface additionally defines methods
+ * {@code pollFirst} and {@code pollLast} that return and remove the
+ * lowest and highest element, if one exists, else returning {@code
+ * null}. Methods {@code subSet}, {@code headSet},
+ * and {@code tailSet} differ from the like-named {@code
+ * SortedSet} methods in accepting additional arguments describing
+ * whether lower and upper bounds are inclusive versus exclusive.
+ * Subsets of any {@code NavigableSet} must implement the {@code
+ * NavigableSet} interface.
+ *
+ * <p> The return values of navigation methods may be ambiguous in
+ * implementations that permit {@code null} elements. However, even
+ * in this case the result can be disambiguated by checking
+ * {@code contains(null)}. To avoid such issues, implementations of
+ * this interface are encouraged to <em>not</em> permit insertion of
+ * {@code null} elements. (Note that sorted sets of {@link
+ * Comparable} elements intrinsically do not permit {@code null}.)
+ *
+ * <p>Methods
+ * {@link #subSet(Object, Object) subSet(E, E)},
+ * {@link #headSet(Object) headSet(E)}, and
+ * {@link #tailSet(Object) tailSet(E)}
+ * are specified to return {@code SortedSet} to allow existing
+ * implementations of {@code SortedSet} to be compatibly retrofitted to
+ * implement {@code NavigableSet}, but extensions and implementations
+ * of this interface are encouraged to override these methods to return
+ * {@code NavigableSet}.
+ *
+ * <p>This interface is a member of the
+ * <a href="{@docRoot}/../technotes/guides/collections/index.html">
+ * Java Collections Framework</a>.
+ *
+ * @author Doug Lea
+ * @author Josh Bloch
+ * @param <E> the type of elements maintained by this set
+ * @since 1.6
+ */
+public interface NavigableSet<E> extends SortedSet<E> {
+ /**
+ * Returns the greatest element in this set strictly less than the
+ * given element, or {@code null} if there is no such element.
+ *
+ * @param e the value to match
+ * @return the greatest element less than {@code e},
+ * or {@code null} if there is no such element
+ * @throws ClassCastException if the specified element cannot be
+ * compared with the elements currently in the set
+ * @throws NullPointerException if the specified element is null
+ * and this set does not permit null elements
+ */
+ E lower(E e);
+
+ /**
+ * Returns the greatest element in this set less than or equal to
+ * the given element, or {@code null} if there is no such element.
+ *
+ * @param e the value to match
+ * @return the greatest element less than or equal to {@code e},
+ * or {@code null} if there is no such element
+ * @throws ClassCastException if the specified element cannot be
+ * compared with the elements currently in the set
+ * @throws NullPointerException if the specified element is null
+ * and this set does not permit null elements
+ */
+ E floor(E e);
+
+ /**
+ * Returns the least element in this set greater than or equal to
+ * the given element, or {@code null} if there is no such element.
+ *
+ * @param e the value to match
+ * @return the least element greater than or equal to {@code e},
+ * or {@code null} if there is no such element
+ * @throws ClassCastException if the specified element cannot be
+ * compared with the elements currently in the set
+ * @throws NullPointerException if the specified element is null
+ * and this set does not permit null elements
+ */
+ E ceiling(E e);
+
+ /**
+ * Returns the least element in this set strictly greater than the
+ * given element, or {@code null} if there is no such element.
+ *
+ * @param e the value to match
+ * @return the least element greater than {@code e},
+ * or {@code null} if there is no such element
+ * @throws ClassCastException if the specified element cannot be
+ * compared with the elements currently in the set
+ * @throws NullPointerException if the specified element is null
+ * and this set does not permit null elements
+ */
+ E higher(E e);
+
+ /**
+ * Retrieves and removes the first (lowest) element,
+ * or returns {@code null} if this set is empty.
+ *
+ * @return the first element, or {@code null} if this set is empty
+ */
+ E pollFirst();
+
+ /**
+ * Retrieves and removes the last (highest) element,
+ * or returns {@code null} if this set is empty.
+ *
+ * @return the last element, or {@code null} if this set is empty
+ */
+ E pollLast();
+
+ /**
+ * Returns an iterator over the elements in this set, in ascending order.
+ *
+ * @return an iterator over the elements in this set, in ascending order
+ */
+ Iterator<E> iterator();
+
+ /**
+ * Returns a reverse order view of the elements contained in this set.
+ * The descending set is backed by this set, so changes to the set are
+ * reflected in the descending set, and vice-versa. If either set is
+ * modified while an iteration over either set is in progress (except
+ * through the iterator's own {@code remove} operation), the results of
+ * the iteration are undefined.
+ *
+ * <p>The returned set has an ordering equivalent to
+ * <tt>{@link Collections#reverseOrder(Comparator) Collections.reverseOrder}(comparator())</tt>.
+ * The expression {@code s.descendingSet().descendingSet()} returns a
+ * view of {@code s} essentially equivalent to {@code s}.
+ *
+ * @return a reverse order view of this set
+ */
+ NavigableSet<E> descendingSet();
+
+ /**
+ * Returns an iterator over the elements in this set, in descending order.
+ * Equivalent in effect to {@code descendingSet().iterator()}.
+ *
+ * @return an iterator over the elements in this set, in descending order
+ */
+ Iterator<E> descendingIterator();
+
+ /**
+ * Returns a view of the portion of this set whose elements range from
+ * {@code fromElement} to {@code toElement}. If {@code fromElement} and
+ * {@code toElement} are equal, the returned set is empty unless {@code
+ * fromExclusive} and {@code toExclusive} are both true. 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.
+ *
+ * <p>The returned set will throw an {@code IllegalArgumentException}
+ * on an attempt to insert an element outside its range.
+ *
+ * @param fromElement low endpoint of the returned set
+ * @param fromInclusive {@code true} if the low endpoint
+ * is to be included in the returned view
+ * @param toElement high endpoint of the returned set
+ * @param toInclusive {@code true} if the high endpoint
+ * is to be included in the returned view
+ * @return a view of the portion of this set whose elements range from
+ * {@code fromElement}, inclusive, to {@code toElement}, exclusive
+ * @throws ClassCastException if {@code fromElement} and
+ * {@code 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 {@code fromElement} or
+ * {@code toElement} cannot be compared to elements currently in
+ * the set.
+ * @throws NullPointerException if {@code fromElement} or
+ * {@code toElement} is null and this set does
+ * not permit null elements
+ * @throws IllegalArgumentException if {@code fromElement} is
+ * greater than {@code toElement}; or if this set itself
+ * has a restricted range, and {@code fromElement} or
+ * {@code toElement} lies outside the bounds of the range.
+ */
+ NavigableSet<E> subSet(E fromElement, boolean fromInclusive,
+ E toElement, boolean toInclusive);
+
+ /**
+ * Returns a view of the portion of this set whose elements are less than
+ * (or equal to, if {@code inclusive} is true) {@code 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.
+ *
+ * <p>The returned set will throw an {@code IllegalArgumentException}
+ * on an attempt to insert an element outside its range.
+ *
+ * @param toElement high endpoint of the returned set
+ * @param inclusive {@code true} if the high endpoint
+ * is to be included in the returned view
+ * @return a view of the portion of this set whose elements are less than
+ * (or equal to, if {@code inclusive} is true) {@code toElement}
+ * @throws ClassCastException if {@code toElement} is not compatible
+ * with this set's comparator (or, if the set has no comparator,
+ * if {@code toElement} does not implement {@link Comparable}).
+ * Implementations may, but are not required to, throw this
+ * exception if {@code toElement} cannot be compared to elements
+ * currently in the set.
+ * @throws NullPointerException if {@code toElement} is null and
+ * this set does not permit null elements
+ * @throws IllegalArgumentException if this set itself has a
+ * restricted range, and {@code toElement} lies outside the
+ * bounds of the range
+ */
+ NavigableSet<E> headSet(E toElement, boolean inclusive);
+
+ /**
+ * Returns a view of the portion of this set whose elements are greater
+ * than (or equal to, if {@code inclusive} is true) {@code 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.
+ *
+ * <p>The returned set will throw an {@code IllegalArgumentException}
+ * on an attempt to insert an element outside its range.
+ *
+ * @param fromElement low endpoint of the returned set
+ * @param inclusive {@code true} if the low endpoint
+ * is to be included in the returned view
+ * @return a view of the portion of this set whose elements are greater
+ * than or equal to {@code fromElement}
+ * @throws ClassCastException if {@code fromElement} is not compatible
+ * with this set's comparator (or, if the set has no comparator,
+ * if {@code fromElement} does not implement {@link Comparable}).
+ * Implementations may, but are not required to, throw this
+ * exception if {@code fromElement} cannot be compared to elements
+ * currently in the set.
+ * @throws NullPointerException if {@code fromElement} is null
+ * and this set does not permit null elements
+ * @throws IllegalArgumentException if this set itself has a
+ * restricted range, and {@code fromElement} lies outside the
+ * bounds of the range
+ */
+ NavigableSet<E> tailSet(E fromElement, boolean inclusive);
+
+ /**
+ * {@inheritDoc}
+ *
+ * <p>Equivalent to {@code subSet(fromElement, true, toElement, false)}.
+ *
+ * @throws ClassCastException {@inheritDoc}
+ * @throws NullPointerException {@inheritDoc}
+ * @throws IllegalArgumentException {@inheritDoc}
+ */
+ SortedSet<E> subSet(E fromElement, E toElement);
+
+ /**
+ * {@inheritDoc}
+ *
+ * <p>Equivalent to {@code headSet(toElement, false)}.
+ *
+ * @throws ClassCastException {@inheritDoc}
+ * @throws NullPointerException {@inheritDoc}
+ * @throws IllegalArgumentException {@inheritDoc}
+na */
+ SortedSet<E> headSet(E toElement);
+
+ /**
+ * {@inheritDoc}
+ *
+ * <p>Equivalent to {@code tailSet(fromElement, true)}.
+ *
+ * @throws ClassCastException {@inheritDoc}
+ * @throws NullPointerException {@inheritDoc}
+ * @throws IllegalArgumentException {@inheritDoc}
+ */
+ SortedSet<E> tailSet(E fromElement);
+}