https://en.wikipedia.org/wiki/Cuckoo_hashing
Cuckoo hashing is a scheme for resolving hash collisions of values of hash functions in a table, with worst-case constant lookup time. The name derives from the behavior of some species of cuckoo, where the cuckoo chick pushes the other eggs or young out of the nest when it hatches; analogously, inserting a new key into a cuckoo hashing table may push an older key to a different location in the table.
When a new key is inserted, a greedy algorithm is used: The new key is inserted in one of its two possible locations, "kicking out", that is, displacing, any key that might already reside in this location. This displaced key is then inserted in its alternative location, again kicking out any key that might reside there, until a vacant position is found, or the procedure would enter aninfinite loop. In the latter case, the hash table is rebuilt in-place using new hash functions:
Lookup requires inspection of just two locations in the hash table, which takes constant time in the worst case (see Big O notation). This is in contrast to many other hash table algorithms, which may not have a constant worst-case bound on the time to do a lookup.
https://highlyscalable.wordpress.com/2011/12/29/ultimate-sets-and-maps-for-java-p1/
In CuckooSet we can’t guarantee that insertion will find a place for new element, even after multiple permutations of the existing elements (maximum number of permutations is regulated by insertRounds). So, increase of the table size and rehashing is an integral part of the implementation.
he Cuckoo Hashing offers a trade off between the memory consumption and performance/stability of the lookups. It typically uses two tables instead of one, but both successful and unsuccessful lookups are performed without iterative jumps (compare contains methods in OpenAddressingSet and CuckooSet)..
https://leijiangcoding.wordpress.com/2015/04/24/hash-tables-with-worst-case-o1-access-cuckoo-hashing/
http://coolshell.cn/articles/17225.html#more-17225
Cuckoo Filter的论文和PPT:Cuckoo Filter: Practically Better Than Bloom
http://users.cis.fiu.edu/~weiss/dsaajava3/code/CuckooHashTable.java
Cuckoo hashing is a scheme for resolving hash collisions of values of hash functions in a table, with worst-case constant lookup time. The name derives from the behavior of some species of cuckoo, where the cuckoo chick pushes the other eggs or young out of the nest when it hatches; analogously, inserting a new key into a cuckoo hashing table may push an older key to a different location in the table.
When a new key is inserted, a greedy algorithm is used: The new key is inserted in one of its two possible locations, "kicking out", that is, displacing, any key that might already reside in this location. This displaced key is then inserted in its alternative location, again kicking out any key that might reside there, until a vacant position is found, or the procedure would enter aninfinite loop. In the latter case, the hash table is rebuilt in-place using new hash functions:
Lookup requires inspection of just two locations in the hash table, which takes constant time in the worst case (see Big O notation). This is in contrast to many other hash table algorithms, which may not have a constant worst-case bound on the time to do a lookup.
https://highlyscalable.wordpress.com/2011/12/29/ultimate-sets-and-maps-for-java-p1/
In CuckooSet we can’t guarantee that insertion will find a place for new element, even after multiple permutations of the existing elements (maximum number of permutations is regulated by insertRounds). So, increase of the table size and rehashing is an integral part of the implementation.
he Cuckoo Hashing offers a trade off between the memory consumption and performance/stability of the lookups. It typically uses two tables instead of one, but both successful and unsuccessful lookups are performed without iterative jumps (compare contains methods in OpenAddressingSet and CuckooSet)..
https://leijiangcoding.wordpress.com/2015/04/24/hash-tables-with-worst-case-o1-access-cuckoo-hashing/
public
class
CuckooSet {
private
int
[] keysT1;
private
int
[] keysT2;
private
int
tableLength;
private
int
hashShift;
private
int
rehashCounter =
0
;
private
double
loadFactor;
private
int
capacity;
private
int
insertRounds;
private
static
final
long
H1 = 2654435761L;
private
static
final
long
H2 = 0x6b43a9b5L;
private
static
final
long
INT_MASK =
0x07FFFFFFF
;
private
static
final
int
FREE = -
1
;
public
CuckooSet(
int
capacity,
double
loadFactor,
int
insertRounds) {
this
.loadFactor = loadFactor;
this
.insertRounds = insertRounds;
initializeCapacity(capacity, loadFactor);
}
public
boolean
add(
int
key) {
if
(contains(key)) {
return
false
;
}
for
(
int
i =
0
; i < insertRounds; i++) {
int
h1 = h1(key);
int
register = keysT1[h1];
keysT1[h1] = key;
if
(register == FREE) {
return
true
;
}
key = register;
int
h2 = h2(key);
register = keysT2[h2];
keysT2[h2] = key;
if
(register == FREE) {
return
true
;
}
key = register;
}
rehash();
return
add(key);
}
public
boolean
contains(
int
key) {
return
keysT1[h1(key)] == key || keysT2[h2(key)] == key;
}
public
int
getRehashCounter() {
return
rehashCounter;
}
private
void
rehash() {
int
[] oldT1 = keysT1;
int
[] oldT2 = keysT2;
int
oldTableLength = tableLength;
initializeCapacity(capacity *
2
, loadFactor);
for
(
int
i =
0
; i < oldTableLength; i++) {
if
(oldT1[i] != FREE) {
add(oldT1[i]);
}
if
(oldT2[i] != FREE) {
add(oldT2[i]);
}
}
rehashCounter++;
}
private
void
initializeCapacity(
int
capacity,
double
loadFactor) {
this
.capacity = capacity;
tableLength = (
int
)(capacity / loadFactor);
hashShift =
32
- (
int
)Math.ceil(Math.log(tableLength) / Math.log(
2
));
keysT1 =
new
int
[tableLength];
keysT2 =
new
int
[tableLength];
Arrays.fill(keysT1, FREE);
Arrays.fill(keysT2, FREE);
}
private
int
h1(
int
key) {
return
((
int
)( ((
int
)(key * H1) >> hashShift) & INT_MASK) ) % tableLength;
}
private
int
h2(
int
key) {
return
((
int
)( ((
int
)(key * H2) >> hashShift) & INT_MASK) ) % tableLength;
}
}
Cuckoo Filter的论文和PPT:Cuckoo Filter: Practically Better Than Bloom
http://users.cis.fiu.edu/~weiss/dsaajava3/code/CuckooHashTable.java