斐波那契堆(简单版)

数据结构
文章目录

这个只有搞priority_queue的插入和删除,别的没有

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#ifndef __Priority_Queue__
#define __Priority_Queue__

#include <cmath>

typedef size_t size_type;

template<class value_type>
class PriorityQueue {
private:
class Node {
public:
Node *parent, *left, *right, *child;
int degree;
value_type key;
Node(value_type Key) {
key = Key;
left = this;
right = this;
child = nullptr;
parent = nullptr;
degree = 0;
}
};
Node *minNode;
size_type qSize;
void insert(const value_type & value);
void insertToRight(Node *a, Node *h);
Node *extractMin();
void extractNode(Node *h);
void deleteMin();
void consolidate();
public:
PriorityQueue() {
minNode = nullptr;
qSize = 0;
}
const value_type & top() const;
bool empty() const;
size_type size() const;
void push(const value_type& value);
void pop();
};

template<class value_type>
void PriorityQueue<value_type>::extractNode(Node *h) {
h->left->right = h->right;
h->right->left = h->left;
}

template<class value_type>
void PriorityQueue<value_type>::insertToRight(Node *a, Node *h) {
if(a!=nullptr) {
h->left = a;
h->right = a->right;
h->right->left = h;
a->right = h;
h->parent = a->parent;
}
}

template<class value_type>
void PriorityQueue<value_type>::insert(const value_type & value) {
Node *newNode=new Node(value);
if(minNode==nullptr)
minNode = newNode;
else {
insertToRight(minNode, newNode);
if(value<minNode->key)
minNode = newNode;
}
qSize++;
}

template<class value_type>
typename PriorityQueue<value_type>::Node * PriorityQueue<value_type>::extractMin() {
Node *h=minNode;
if(h==h->right)
minNode = nullptr;
else {
extractNode(h);
minNode = h->right;
}
h->left = h->right = h;
return h;
}

template<class value_type>
void PriorityQueue<value_type>::consolidate() {
if(minNode==nullptr)
return ;
int maxDeg=1.0*std::log(qSize)/std::log(2)+1;
Node **cons=new Node *[maxDeg+1];
for(int i=0; i<=maxDeg; i++)
cons[i] = nullptr;
while(minNode!=nullptr) {
Node *x=extractMin();
int deg=x->degree;
while(cons[deg]!=nullptr) {
if(x->key>cons[deg]->key)
std::swap(x, cons[deg]);
extractNode(cons[deg]);
if (x->child == NULL)
x->child = cons[deg];
else
insertToRight(x->child, cons[deg]);
cons[deg]->parent = x;
x->degree++;
cons[deg] = nullptr;
deg++;
}
cons[deg] = x;
}
minNode = nullptr;
for(int i=0; i<=maxDeg; i++) {
if(cons[i]!=nullptr) {
if(minNode==nullptr)
minNode = cons[i];
else {
insertToRight(minNode, cons[i]);
if(cons[i]->key<minNode->key)
minNode = cons[i];
}
}
}
delete cons;
}

template<class value_type>
void PriorityQueue<value_type>::deleteMin() {
if(minNode==nullptr) return ;
Node *child=nullptr;
Node *delNode=minNode;
while(delNode->child!=nullptr) {
child = delNode->child;
extractNode(child);
if(child->right==child)
delNode->child = nullptr;
else
delNode->child = child->right;
insertToRight(minNode, child);
child->parent = nullptr;
}
extractNode(delNode);
if(delNode->right==delNode) minNode = nullptr;
else {
minNode = delNode->right;
consolidate();
}
qSize--;
delete delNode;
}

template<class value_type>
const value_type & PriorityQueue<value_type>::top() const {
return minNode->key;
}

template<class value_type>
bool PriorityQueue<value_type>::empty() const {
return qSize==0;
}

template<class value_type>
size_type PriorityQueue<value_type>::size() const {
return qSize;
}

template<class value_type>
void PriorityQueue<value_type>::push(const value_type& value) {
insert(value);
}

template<class value_type>
void PriorityQueue<value_type>::pop() {
deleteMin();
}

#endif