public class PatriciaTrie<E> extends AbstractBitwiseTrie<K,V>
A PATRICIA Trie
is a compressed Trie
. Instead of storing
all data at the edges of the Trie
(and having empty internal nodes),
PATRICIA stores data in every node. This allows for very efficient traversal,
insert, delete, predecessor, successor, prefix, range, and select(Object)
operations. All operations are performed at worst in O(K) time, where K
is the number of bits in the largest item in the tree. In practice,
operations actually take O(A(K)) time, where A(K) is the average number of
bits of all items in the tree.
Most importantly, PATRICIA requires very few comparisons to keys while doing any operation. While performing a lookup, each comparison (at most K of them, described above) will perform a single bit comparison against the given key, instead of comparing the entire key to another key.
The Trie
can return operations in lexicographical order using the
'prefixMap', 'submap', or 'iterator' methods. The Trie
can also
scan for items that are 'bitwise' (using an XOR metric) by the 'select' method.
Bitwise closeness is determined by the KeyAnalyzer
returning true or
false for a bit being set or not in a given key.
This PATRICIA Trie
supports both variable length & fixed length
keys. Some methods, such as prefixMap(Object)
are suited only
to variable length keys.
Constructor and Description |
---|
PatriciaTrie() |
PatriciaTrie(java.util.Map<? extends java.lang.String,? extends E> m) |
Modifier and Type | Method and Description |
---|---|
void |
clear() |
java.util.Comparator<? super K> |
comparator() |
boolean |
containsKey(java.lang.Object k) |
java.util.Set<java.util.Map.Entry<K,V>> |
entrySet() |
K |
firstKey()
Gets the first key currently in this map.
|
V |
get(java.lang.Object k) |
java.util.SortedMap<K,V> |
headMap(K toKey) |
java.util.Set<K> |
keySet() |
K |
lastKey()
Gets the last key currently in this map.
|
OrderedMapIterator<K,V> |
mapIterator()
Obtains a
MapIterator over the map. |
K |
nextKey(K key)
Gets the next key after the one specified.
|
java.util.SortedMap<K,V> |
prefixMap(K key)
Returns a view of this
Trie of all elements that are prefixed
by the given key. |
K |
previousKey(K key)
Gets the previous key before the one specified.
|
V |
put(K key,
V value)
Note that the return type is Object, rather than V as in the Map interface.
|
V |
remove(java.lang.Object k) |
java.util.Map.Entry<K,V> |
select(K key)
Returns the
Entry whose key is closest in a bitwise XOR
metric to the given key. |
K |
selectKey(K key)
Returns the key that is closest in a bitwise XOR metric to the
provided key.
|
V |
selectValue(K key)
Returns the value whose key is closest in a bitwise XOR metric to
the provided key.
|
int |
size() |
java.util.SortedMap<K,V> |
subMap(K fromKey,
K toKey) |
java.util.SortedMap<K,V> |
tailMap(K fromKey) |
java.util.Collection<V> |
values() |
toString
compute, computeIfAbsent, computeIfPresent, containsValue, equals, forEach, getOrDefault, hashCode, isEmpty, merge, putAll, putIfAbsent, remove, replace, replace, replaceAll
containsValue, isEmpty
public PatriciaTrie()
public PatriciaTrie(java.util.Map<? extends java.lang.String,? extends E> m)
public void clear()
public int size()
public V put(K key, V value)
Put
public V get(java.lang.Object k)
public java.util.Map.Entry<K,V> select(K key)
Entry
whose key is closest in a bitwise XOR
metric to the given key. This is NOT lexicographic closeness.
For example, given the keys:
Trie
contained 'H' and 'L', a lookup of 'D' would
return 'L', because the XOR distance between D & L is smaller
than the XOR distance between D & H.key
- the key to use in the searchEntry
whose key is closest in a bitwise XOR metric
to the provided keypublic K selectKey(K key)
Trie
contained 'H' and 'L', a lookup of 'D' would
return 'L', because the XOR distance between D & L is smaller
than the XOR distance between D & H.key
- the key to use in the searchpublic V selectValue(K key)
Trie
contained 'H' and 'L', a lookup of 'D' would
return 'L', because the XOR distance between D & L is smaller
than the XOR distance between D & H.key
- the key to use in the searchpublic boolean containsKey(java.lang.Object k)
containsKey
in interface java.util.Map<K,V>
containsKey
in interface Get<K,V>
containsKey
in class java.util.AbstractMap<K,V>
Map.containsKey(Object)
public java.util.Set<java.util.Map.Entry<K,V>> entrySet()
public java.util.Set<K> keySet()
public java.util.Collection<V> values()
public V remove(java.lang.Object k)
public java.util.Comparator<? super K> comparator()
public K firstKey()
OrderedMap
public K lastKey()
OrderedMap
public K nextKey(K key)
OrderedMap
key
- the key to search for next frompublic K previousKey(K key)
OrderedMap
key
- the key to search for previous frompublic OrderedMapIterator<K,V> mapIterator()
IterableGet
MapIterator
over the map.
A map iterator is an efficient way of iterating over maps. There is no need to access the entry set or use Map Entry objects.
IterableMapmap = new HashedMap (); MapIterator it = map.mapIterator(); while (it.hasNext()) { String key = it.next(); Integer value = it.getValue(); it.setValue(value + 1); }
public java.util.SortedMap<K,V> prefixMap(K key)
Trie
Trie
of all elements that are prefixed
by the given key.
In a Trie
with fixed size keys, this is essentially a
Map.get(Object)
operation.
For example, if the Trie
contains 'Anna', 'Anael',
'Analu', 'Andreas', 'Andrea', 'Andres', and 'Anatole', then
a lookup of 'And' would return 'Andreas', 'Andrea', and 'Andres'.
key
- the key used in the searchSortedMap
view of this Trie
with all elements whose
key is prefixed by the search keypublic java.util.SortedMap<K,V> headMap(K toKey)
public java.util.SortedMap<K,V> subMap(K fromKey, K toKey)
public java.util.SortedMap<K,V> tailMap(K fromKey)
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