E - the type of elements maintained by this setCollection<E>, Iterable<E>, SequencedCollection<E>, SequencedSet<E>, Set<E>, SortedSet<E>
ConcurrentSkipListSet, TreeSet
public interface NavigableSet<E> extends SortedSet<E>
SortedSet extended with navigation methods reporting closest matches for given search targets. Methods lower(E), floor(E), ceiling(E), and higher(E) return elements respectively less than, less than or equal, greater than or equal, and greater than a given element, returning null if there is no such element. A NavigableSet may be accessed and traversed in either ascending or descending order. The 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 pollFirst() and pollLast() that return and remove the lowest and highest element, if one exists, else returning null. Methods subSet(E, boolean, E, boolean), headSet(E, boolean), and tailSet(E, boolean) differ from the like-named SortedSet methods in accepting additional arguments describing whether lower and upper bounds are inclusive versus exclusive. Subsets of any NavigableSet must implement the NavigableSet interface. 
The return values of navigation methods may be ambiguous in implementations that permit null elements. However, even in this case the result can be disambiguated by checking contains(null). To avoid such issues, implementations of this interface are encouraged to not permit insertion of null elements. (Note that sorted sets of Comparable elements intrinsically do not permit null.) 
Methods subSet(E, E), headSet(E), and tailSet(E) are specified to return SortedSet to allow existing implementations of SortedSet to be compatibly retrofitted to implement NavigableSet, but extensions and implementations of this interface are encouraged to override these methods to return NavigableSet. 
This interface is a member of the Java Collections Framework.
| Modifier and Type | Method | Description | 
|---|---|---|
| E | ceiling | Returns the least element in this set greater than or equal to the given element, or  nullif there is no such element. | 
| Iterator | descendingIterator() | Returns an iterator over the elements in this set, in descending order. | 
| NavigableSet | descendingSet() | Returns a reverse order view of the elements contained in this set. | 
| E | floor | Returns the greatest element in this set less than or equal to the given element, or  nullif there is no such element. | 
| SortedSet | headSet | Returns a view of the portion of this set whose elements are strictly less than  toElement. | 
| NavigableSet | headSet | Returns a view of the portion of this set whose elements are less than (or equal to, if  inclusiveis true)toElement. | 
| E | higher | Returns the least element in this set strictly greater than the given element, or  nullif there is no such element. | 
| Iterator | iterator() | Returns an iterator over the elements in this set, in ascending order. | 
| E | lower | Returns the greatest element in this set strictly less than the given element, or  nullif there is no such element. | 
| E | pollFirst() | Retrieves and removes the first (lowest) element, or returns  nullif this set is empty. | 
| E | pollLast() | Retrieves and removes the last (highest) element, or returns  nullif this set is empty. | 
| default E | removeFirst() | Removes and returns the first element of this collection (optional operation). | 
| default E | removeLast() | Removes and returns the last element of this collection (optional operation). | 
| default NavigableSet | reversed() | Returns a reverse-ordered view of this collection. | 
| NavigableSet | subSet | Returns a view of the portion of this set whose elements range from  fromElementtotoElement. | 
| SortedSet | subSet | Returns a view of the portion of this set whose elements range from  fromElement, inclusive, totoElement, exclusive. | 
| SortedSet | tailSet | Returns a view of the portion of this set whose elements are greater than or equal to  fromElement. | 
| NavigableSet | tailSet | Returns a view of the portion of this set whose elements are greater than (or equal to, if  inclusiveis true)fromElement. | 
parallelStream, removeIf, stream, toArray
add, addAll, clear, contains, containsAll, equals, hashCode, isEmpty, remove, removeAll, retainAll, size, toArray, toArray
addFirst, addLast, comparator, first, getFirst, getLast, last, spliterator
E lower(E e)
null if there is no such element.e - the value to matche, or null if there is no such elementClassCastException - if the specified element cannot be compared with the elements currently in the setNullPointerException - if the specified element is null and this set does not permit null elementsE floor(E e)
null if there is no such element.e - the value to matche, or null if there is no such elementClassCastException - if the specified element cannot be compared with the elements currently in the setNullPointerException - if the specified element is null and this set does not permit null elementsE ceiling(E e)
null if there is no such element.e - the value to matche, or null if there is no such elementClassCastException - if the specified element cannot be compared with the elements currently in the setNullPointerException - if the specified element is null and this set does not permit null elementsE higher(E e)
null if there is no such element.e - the value to matche, or null if there is no such elementClassCastException - if the specified element cannot be compared with the elements currently in the setNullPointerException - if the specified element is null and this set does not permit null elementsE pollFirst()
null if this set is empty.null if this set is emptyE pollLast()
null if this set is empty.null if this set is emptyIterator<E> iterator()
NavigableSet<E> descendingSet()
remove operation), the results of the iteration are undefined. The returned set has an ordering equivalent to Collections.reverseOrder(comparator()). The expression s.descendingSet().descendingSet() returns a view of s essentially equivalent to s.
Iterator<E> descendingIterator()
descendingSet().iterator().NavigableSet<E> subSet(E fromElement, boolean fromInclusive, E toElement, boolean toInclusive)
fromElement to toElement. If fromElement and toElement are equal, the returned set is empty unless 
 fromInclusive and toInclusive 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. The returned set will throw an IllegalArgumentException on an attempt to insert an element outside its range.
fromElement - low endpoint of the returned setfromInclusive - true if the low endpoint is to be included in the returned viewtoElement - high endpoint of the returned settoInclusive - true if the high endpoint is to be included in the returned viewfromElement, inclusive, to toElement, exclusiveClassCastException - 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 elementsIllegalArgumentException - 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.NavigableSet<E> headSet(E toElement, boolean inclusive)
inclusive is true) 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.
toElement - high endpoint of the returned setinclusive - true if the high endpoint is to be included in the returned viewinclusive is true) toElement
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 elementsIllegalArgumentException - if this set itself has a restricted range, and toElement lies outside the bounds of the rangeNavigableSet<E> tailSet(E fromElement, boolean inclusive)
inclusive is true) 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.
fromElement - low endpoint of the returned setinclusive - true if the low endpoint is to be included in the returned viewfromElement
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 elementsIllegalArgumentException - if this set itself has a restricted range, and fromElement lies outside the bounds of the rangeSortedSet<E> subSet(E fromElement, E toElement)
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. 
Equivalent to subSet(fromElement, true, toElement, false).
subSet in interface SortedSet<E>
fromElement - low endpoint (inclusive) of the returned settoElement - high endpoint (exclusive) of the returned setfromElement, inclusive, to toElement, exclusiveClassCastException - 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 elementsIllegalArgumentException - 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 rangeSortedSet<E> headSet(E toElement)
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. 
Equivalent to headSet(toElement, false).
headSet in interface SortedSet<E>
toElement - high endpoint (exclusive) of the returned settoElement
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 elementsIllegalArgumentException - if this set itself has a restricted range, and toElement lies outside the bounds of the rangeSortedSet<E> tailSet(E fromElement)
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. 
Equivalent to tailSet(fromElement, true).
tailSet in interface SortedSet<E>
fromElement - low endpoint (inclusive) of the returned setfromElement
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 elementsIllegalArgumentException - if this set itself has a restricted range, and fromElement lies outside the bounds of the rangedefault E removeFirst()
removeFirst in interface SequencedCollection<E>
removeFirst in interface SortedSet<E>
pollFirst method. Otherwise, it throws NoSuchElementException.NoSuchElementException - if this collection is emptyUnsupportedOperationException - if this collection implementation does not support this operationdefault E removeLast()
removeLast in interface SequencedCollection<E>
removeLast in interface SortedSet<E>
pollLast method. Otherwise, it throws NoSuchElementException.NoSuchElementException - if this collection is emptyUnsupportedOperationException - if this collection implementation does not support this operationdefault NavigableSet<E> reversed()
 This method is equivalent to descendingSet.
reversed in interface SequencedCollection<E>
reversed in interface SequencedSet<E>
reversed in interface SortedSet<E>
descendingSet method.NavigableSet
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    https://docs.oracle.com/en/java/javase/21/docs/api/java.base/java/util/NavigableSet.html