This commit is contained in:
krahets
2024-05-06 14:40:36 +08:00
parent 7e7eb6047a
commit 5c7d2c7f17
54 changed files with 3456 additions and 215 deletions

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@@ -91,13 +91,45 @@ The design of hash algorithms is a complex issue that requires consideration of
=== "C++"
```cpp title="simple_hash.cpp"
[class]{}-[func]{addHash}
/* Additive hash */
int addHash(string key) {
long long hash = 0;
const int MODULUS = 1000000007;
for (unsigned char c : key) {
hash = (hash + (int)c) % MODULUS;
}
return (int)hash;
}
[class]{}-[func]{mulHash}
/* Multiplicative hash */
int mulHash(string key) {
long long hash = 0;
const int MODULUS = 1000000007;
for (unsigned char c : key) {
hash = (31 * hash + (int)c) % MODULUS;
}
return (int)hash;
}
[class]{}-[func]{xorHash}
/* XOR hash */
int xorHash(string key) {
int hash = 0;
const int MODULUS = 1000000007;
for (unsigned char c : key) {
hash ^= (int)c;
}
return hash & MODULUS;
}
[class]{}-[func]{rotHash}
/* Rotational hash */
int rotHash(string key) {
long long hash = 0;
const int MODULUS = 1000000007;
for (unsigned char c : key) {
hash = ((hash << 4) ^ (hash >> 28) ^ (int)c) % MODULUS;
}
return (int)hash;
}
```
=== "Java"

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@@ -123,7 +123,119 @@ The code below provides a simple implementation of a separate chaining hash tabl
=== "C++"
```cpp title="hash_map_chaining.cpp"
[class]{HashMapChaining}-[func]{}
/* Chained address hash table */
class HashMapChaining {
private:
int size; // Number of key-value pairs
int capacity; // Hash table capacity
double loadThres; // Load factor threshold for triggering expansion
int extendRatio; // Expansion multiplier
vector<vector<Pair *>> buckets; // Bucket array
public:
/* Constructor */
HashMapChaining() : size(0), capacity(4), loadThres(2.0 / 3.0), extendRatio(2) {
buckets.resize(capacity);
}
/* Destructor */
~HashMapChaining() {
for (auto &bucket : buckets) {
for (Pair *pair : bucket) {
// Free memory
delete pair;
}
}
}
/* Hash function */
int hashFunc(int key) {
return key % capacity;
}
/* Load factor */
double loadFactor() {
return (double)size / (double)capacity;
}
/* Query operation */
string get(int key) {
int index = hashFunc(key);
// Traverse the bucket, if the key is found, return the corresponding val
for (Pair *pair : buckets[index]) {
if (pair->key == key) {
return pair->val;
}
}
// If key not found, return an empty string
return "";
}
/* Add operation */
void put(int key, string val) {
// When the load factor exceeds the threshold, perform expansion
if (loadFactor() > loadThres) {
extend();
}
int index = hashFunc(key);
// Traverse the bucket, if the specified key is encountered, update the corresponding val and return
for (Pair *pair : buckets[index]) {
if (pair->key == key) {
pair->val = val;
return;
}
}
// If the key is not found, add the key-value pair to the end
buckets[index].push_back(new Pair(key, val));
size++;
}
/* Remove operation */
void remove(int key) {
int index = hashFunc(key);
auto &bucket = buckets[index];
// Traverse the bucket, remove the key-value pair from it
for (int i = 0; i < bucket.size(); i++) {
if (bucket[i]->key == key) {
Pair *tmp = bucket[i];
bucket.erase(bucket.begin() + i); // Remove key-value pair
delete tmp; // Free memory
size--;
return;
}
}
}
/* Extend hash table */
void extend() {
// Temporarily store the original hash table
vector<vector<Pair *>> bucketsTmp = buckets;
// Initialize the extended new hash table
capacity *= extendRatio;
buckets.clear();
buckets.resize(capacity);
size = 0;
// Move key-value pairs from the original hash table to the new hash table
for (auto &bucket : bucketsTmp) {
for (Pair *pair : bucket) {
put(pair->key, pair->val);
// Free memory
delete pair;
}
}
}
/* Print hash table */
void print() {
for (auto &bucket : buckets) {
cout << "[";
for (Pair *pair : bucket) {
cout << pair->key << " -> " << pair->val << ", ";
}
cout << "]\n";
}
}
};
```
=== "Java"
@@ -451,7 +563,140 @@ The code below implements an open addressing (linear probing) hash table with la
=== "C++"
```cpp title="hash_map_open_addressing.cpp"
[class]{HashMapOpenAddressing}-[func]{}
/* Open addressing hash table */
class HashMapOpenAddressing {
private:
int size; // Number of key-value pairs
int capacity = 4; // Hash table capacity
const double loadThres = 2.0 / 3.0; // Load factor threshold for triggering expansion
const int extendRatio = 2; // Expansion multiplier
vector<Pair *> buckets; // Bucket array
Pair *TOMBSTONE = new Pair(-1, "-1"); // Removal mark
public:
/* Constructor */
HashMapOpenAddressing() : size(0), buckets(capacity, nullptr) {
}
/* Destructor */
~HashMapOpenAddressing() {
for (Pair *pair : buckets) {
if (pair != nullptr && pair != TOMBSTONE) {
delete pair;
}
}
delete TOMBSTONE;
}
/* Hash function */
int hashFunc(int key) {
return key % capacity;
}
/* Load factor */
double loadFactor() {
return (double)size / capacity;
}
/* Search for the bucket index corresponding to key */
int findBucket(int key) {
int index = hashFunc(key);
int firstTombstone = -1;
// Linear probing, break when encountering an empty bucket
while (buckets[index] != nullptr) {
// If the key is encountered, return the corresponding bucket index
if (buckets[index]->key == key) {
// If a removal mark was encountered earlier, move the key-value pair to that index
if (firstTombstone != -1) {
buckets[firstTombstone] = buckets[index];
buckets[index] = TOMBSTONE;
return firstTombstone; // Return the moved bucket index
}
return index; // Return bucket index
}
// Record the first encountered removal mark
if (firstTombstone == -1 && buckets[index] == TOMBSTONE) {
firstTombstone = index;
}
// Calculate the bucket index, return to the head if exceeding the tail
index = (index + 1) % capacity;
}
// If the key does not exist, return the index of the insertion point
return firstTombstone == -1 ? index : firstTombstone;
}
/* Query operation */
string get(int key) {
// Search for the bucket index corresponding to key
int index = findBucket(key);
// If the key-value pair is found, return the corresponding val
if (buckets[index] != nullptr && buckets[index] != TOMBSTONE) {
return buckets[index]->val;
}
// If key-value pair does not exist, return an empty string
return "";
}
/* Add operation */
void put(int key, string val) {
// When the load factor exceeds the threshold, perform expansion
if (loadFactor() > loadThres) {
extend();
}
// Search for the bucket index corresponding to key
int index = findBucket(key);
// If the key-value pair is found, overwrite val and return
if (buckets[index] != nullptr && buckets[index] != TOMBSTONE) {
buckets[index]->val = val;
return;
}
// If the key-value pair does not exist, add the key-value pair
buckets[index] = new Pair(key, val);
size++;
}
/* Remove operation */
void remove(int key) {
// Search for the bucket index corresponding to key
int index = findBucket(key);
// If the key-value pair is found, cover it with a removal mark
if (buckets[index] != nullptr && buckets[index] != TOMBSTONE) {
delete buckets[index];
buckets[index] = TOMBSTONE;
size--;
}
}
/* Extend hash table */
void extend() {
// Temporarily store the original hash table
vector<Pair *> bucketsTmp = buckets;
// Initialize the extended new hash table
capacity *= extendRatio;
buckets = vector<Pair *>(capacity, nullptr);
size = 0;
// Move key-value pairs from the original hash table to the new hash table
for (Pair *pair : bucketsTmp) {
if (pair != nullptr && pair != TOMBSTONE) {
put(pair->key, pair->val);
delete pair;
}
}
}
/* Print hash table */
void print() {
for (Pair *pair : buckets) {
if (pair == nullptr) {
cout << "nullptr" << endl;
} else if (pair == TOMBSTONE) {
cout << "TOMBSTONE" << endl;
} else {
cout << pair->key << " -> " << pair->val << endl;
}
}
}
};
```
=== "Java"

View File

@@ -598,9 +598,106 @@ The following code implements a simple hash table. Here, we encapsulate `key` an
=== "C++"
```cpp title="array_hash_map.cpp"
[class]{Pair}-[func]{}
/* Key-value pair */
struct Pair {
public:
int key;
string val;
Pair(int key, string val) {
this->key = key;
this->val = val;
}
};
[class]{ArrayHashMap}-[func]{}
/* Hash table based on array implementation */
class ArrayHashMap {
private:
vector<Pair *> buckets;
public:
ArrayHashMap() {
// Initialize an array, containing 100 buckets
buckets = vector<Pair *>(100);
}
~ArrayHashMap() {
// Free memory
for (const auto &bucket : buckets) {
delete bucket;
}
buckets.clear();
}
/* Hash function */
int hashFunc(int key) {
int index = key % 100;
return index;
}
/* Query operation */
string get(int key) {
int index = hashFunc(key);
Pair *pair = buckets[index];
if (pair == nullptr)
return "";
return pair->val;
}
/* Add operation */
void put(int key, string val) {
Pair *pair = new Pair(key, val);
int index = hashFunc(key);
buckets[index] = pair;
}
/* Remove operation */
void remove(int key) {
int index = hashFunc(key);
// Free memory and set to nullptr
delete buckets[index];
buckets[index] = nullptr;
}
/* Get all key-value pairs */
vector<Pair *> pairSet() {
vector<Pair *> pairSet;
for (Pair *pair : buckets) {
if (pair != nullptr) {
pairSet.push_back(pair);
}
}
return pairSet;
}
/* Get all keys */
vector<int> keySet() {
vector<int> keySet;
for (Pair *pair : buckets) {
if (pair != nullptr) {
keySet.push_back(pair->key);
}
}
return keySet;
}
/* Get all values */
vector<string> valueSet() {
vector<string> valueSet;
for (Pair *pair : buckets) {
if (pair != nullptr) {
valueSet.push_back(pair->val);
}
}
return valueSet;
}
/* Print hash table */
void print() {
for (Pair *kv : pairSet()) {
cout << kv->key << " -> " << kv->val << endl;
}
}
};
```
=== "Java"