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Copy pathMutablePriorityQueue.h
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119 lines (103 loc) · 2.59 KB
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/*
* MutablePriorityQueue.h
* A simple implementation of mutable priority queues, required by Dijkstra algorithm.
*
* Created on: 17/03/2018
* Author: João Pascoal Faria
*/
#ifndef DA_TP_CLASSES_MUTABLEPRIORITYQUEUE
#define DA_TP_CLASSES_MUTABLEPRIORITYQUEUE
#include <vector>
/**
* class T must have: (i) accessible field int queueIndex; (ii) operator< defined.
*/
template <class T>
class MutablePriorityQueue {
std::vector<T *> H;
void heapifyUp(unsigned i);
void heapifyUpWalking(unsigned i);
void heapifyDown(unsigned i);
inline void set(unsigned i, T * x);
public:
MutablePriorityQueue();
void insert(T * x);
T * extractMin();
void decreaseKey(T * x);
void decreaseKeyWalking(T * x);
bool empty();
};
// Index calculations
#define parent(i) ((i) / 2)
#define leftChild(i) ((i) * 2)
template <class T>
MutablePriorityQueue<T>::MutablePriorityQueue() {
H.push_back(nullptr);
// indices will be used starting in 1
// to facilitate parent/child calculations
}
template <class T>
bool MutablePriorityQueue<T>::empty() {
return H.size() == 1;
}
template <class T>
T* MutablePriorityQueue<T>::extractMin() {
auto x = H[1];
H[1] = H.back();
H.pop_back();
if(H.size() > 1) heapifyDown(1);
x->queueIndex = 0;
return x;
}
template <class T>
void MutablePriorityQueue<T>::insert(T *x) {
H.push_back(x);
heapifyUp(H.size()-1);
}
template <class T>
void MutablePriorityQueue<T>::decreaseKey(T *x) {
heapifyUp(x->queueIndex);
}
template <class T>
void MutablePriorityQueue<T>::decreaseKeyWalking(T *x) {
heapifyUpWalking(x->queueIndex);
}
template <class T>
void MutablePriorityQueue<T>::heapifyUp(unsigned i) {
auto x = H[i];
while (i > 1 && *x < *H[parent(i)]) {
set(i, H[parent(i)]);
i = parent(i);
}
set(i, x);
}
template <class T>
void MutablePriorityQueue<T>::heapifyUpWalking(unsigned i) {
auto x = H[i];
while (i > 1 && compareByWalkingDist(*x, *H[parent(i)])) {
set(i, H[parent(i)]);
i = parent(i);
}
set(i, x);
}
template <class T>
void MutablePriorityQueue<T>::heapifyDown(unsigned i) {
auto x = H[i];
while (true) {
unsigned k = leftChild(i);
if (k >= H.size())
break;
if (k+1 < H.size() && *H[k+1] < *H[k])
++k; // right child of i
if ( ! (*H[k] < *x) )
break;
set(i, H[k]);
i = k;
}
set(i, x);
}
template <class T>
void MutablePriorityQueue<T>::set(unsigned i, T * x) {
H[i] = x;
x->queueIndex = i;
}
#endif /* DA_TP_CLASSES_MUTABLEPRIORITYQUEUE */