272 lines
6.4 KiB
C++
272 lines
6.4 KiB
C++
|
// (C) Copyright Jeremy Siek 2004.
|
||
|
// Distributed under the Boost Software License, Version 1.0. (See
|
||
|
// accompanying file LICENSE_1_0.txt or copy at
|
||
|
// http://www.boost.org/LICENSE_1_0.txt)
|
||
|
#ifndef BOOST_FIBONACCI_HEAP_HPP
|
||
|
#define BOOST_FIBONACCI_HEAP_HPP
|
||
|
|
||
|
#if defined(__sgi) && !defined(__GNUC__)
|
||
|
# include <math.h>
|
||
|
#else
|
||
|
# include <boost/config/no_tr1/cmath.hpp>
|
||
|
#endif
|
||
|
#include <iosfwd>
|
||
|
#include <vector>
|
||
|
#include <functional>
|
||
|
#include <boost/config.hpp>
|
||
|
#include <boost/property_map/property_map.hpp>
|
||
|
|
||
|
//
|
||
|
// An adaptation of Knuth's Fibonacci heap implementation
|
||
|
// in "The Stanford Graph Base", pages 475-482.
|
||
|
//
|
||
|
|
||
|
namespace boost {
|
||
|
|
||
|
|
||
|
template <class T,
|
||
|
class Compare = std::less<T>,
|
||
|
class ID = identity_property_map>
|
||
|
class fibonacci_heap
|
||
|
{
|
||
|
typedef typename boost::property_traits<ID>::value_type size_type;
|
||
|
typedef T value_type;
|
||
|
protected:
|
||
|
typedef fibonacci_heap self;
|
||
|
typedef std::vector<size_type> LinkVec;
|
||
|
typedef typename LinkVec::iterator LinkIter;
|
||
|
public:
|
||
|
|
||
|
fibonacci_heap(size_type n,
|
||
|
const Compare& cmp,
|
||
|
const ID& id = identity_property_map())
|
||
|
: _key(n), _left(n), _right(n), _p(n), _mark(n), _degree(n),
|
||
|
_n(0), _root(n), _id(id), _compare(cmp), _child(n),
|
||
|
#if defined(BOOST_MSVC) || defined(__ICL) // need a new macro?
|
||
|
new_roots(size_type(log(float(n))) + 5) { }
|
||
|
#else
|
||
|
new_roots(size_type(std::log(float(n))) + 5) { }
|
||
|
#endif
|
||
|
|
||
|
// 33
|
||
|
void push(const T& d) {
|
||
|
++_n;
|
||
|
size_type v = get(_id, d);
|
||
|
_key[v] = d;
|
||
|
_p[v] = nil();
|
||
|
_degree[v] = 0;
|
||
|
_mark[v] = false;
|
||
|
_child[v] = nil();
|
||
|
if (_root == nil()) {
|
||
|
_root = _left[v] = _right[v] = v;
|
||
|
//std::cout << "root added" << std::endl;
|
||
|
} else {
|
||
|
size_type u = _left[_root];
|
||
|
_left[v] = u;
|
||
|
_right[v] = _root;
|
||
|
_left[_root] = _right[u] = v;
|
||
|
if (_compare(d, _key[_root]))
|
||
|
_root = v;
|
||
|
//std::cout << "non-root node added" << std::endl;
|
||
|
}
|
||
|
}
|
||
|
T& top() { return _key[_root]; }
|
||
|
const T& top() const { return _key[_root]; }
|
||
|
|
||
|
// 38
|
||
|
void pop() {
|
||
|
--_n;
|
||
|
int h = -1;
|
||
|
size_type v, w;
|
||
|
if (_root != nil()) {
|
||
|
if (_degree[_root] == 0) {
|
||
|
v = _right[_root];
|
||
|
} else {
|
||
|
w = _child[_root];
|
||
|
v = _right[w];
|
||
|
_right[w] = _right[_root];
|
||
|
for (w = v; w != _right[_root]; w = _right[w])
|
||
|
_p[w] = nil();
|
||
|
}
|
||
|
while (v != _root) {
|
||
|
w = _right[v];
|
||
|
add_tree_to_new_roots(v, new_roots.begin(), h);
|
||
|
v = w;
|
||
|
}
|
||
|
rebuild_root_list(new_roots.begin(), h);
|
||
|
}
|
||
|
}
|
||
|
// 39
|
||
|
inline void add_tree_to_new_roots(size_type v,
|
||
|
LinkIter new_roots,
|
||
|
int& h)
|
||
|
{
|
||
|
int r;
|
||
|
size_type u;
|
||
|
r = _degree[v];
|
||
|
while (1) {
|
||
|
if (h < r) {
|
||
|
do {
|
||
|
++h;
|
||
|
new_roots[h] = (h == r ? v : nil());
|
||
|
} while (h < r);
|
||
|
break;
|
||
|
}
|
||
|
if (new_roots[r] == nil()) {
|
||
|
new_roots[r] = v;
|
||
|
break;
|
||
|
}
|
||
|
u = new_roots[r];
|
||
|
new_roots[r] = nil();
|
||
|
if (_compare(_key[u], _key[v])) {
|
||
|
_degree[v] = r;
|
||
|
_mark[v] = false;
|
||
|
std::swap(u, v);
|
||
|
}
|
||
|
make_child(u, v, r);
|
||
|
++r;
|
||
|
}
|
||
|
_degree[v] = r;
|
||
|
_mark[v] = false;
|
||
|
}
|
||
|
// 40
|
||
|
void make_child(size_type u, size_type v, size_type r) {
|
||
|
if (r == 0) {
|
||
|
_child[v] = u;
|
||
|
_left[u] = u;
|
||
|
_right[u] = u;
|
||
|
} else {
|
||
|
size_type t = _child[v];
|
||
|
_right[u] = _right[t];
|
||
|
_left[u] = t;
|
||
|
_right[t] = u;
|
||
|
_left[_right[u]] = u;
|
||
|
}
|
||
|
_p[u] = v;
|
||
|
}
|
||
|
// 41
|
||
|
inline void rebuild_root_list(LinkIter new_roots, int& h)
|
||
|
{
|
||
|
size_type u, v, w;
|
||
|
if (h < 0)
|
||
|
_root = nil();
|
||
|
else {
|
||
|
T d;
|
||
|
u = v = new_roots[h];
|
||
|
d = _key[u];
|
||
|
_root = u;
|
||
|
for (h--; h >= 0; --h)
|
||
|
if (new_roots[h] != nil()) {
|
||
|
w = new_roots[h];
|
||
|
_left[w] = v;
|
||
|
_right[v] = w;
|
||
|
if (_compare(_key[w], d)) {
|
||
|
_root = w;
|
||
|
d = _key[w];
|
||
|
}
|
||
|
v = w;
|
||
|
}
|
||
|
_right[v] = u;
|
||
|
_left[u] = v;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
// 34
|
||
|
void update(const T& d) {
|
||
|
size_type v = get(_id, d);
|
||
|
assert(!_compare(_key[v], d));
|
||
|
_key[v] = d;
|
||
|
size_type p = _p[v];
|
||
|
if (p == nil()) {
|
||
|
if (_compare(d, _key[_root]))
|
||
|
_root = v;
|
||
|
} else if (_compare(d, _key[p]))
|
||
|
while (1) {
|
||
|
size_type r = _degree[p];
|
||
|
if (r >= 2)
|
||
|
remove_from_family(v, p);
|
||
|
insert_into_forest(v, d);
|
||
|
size_type pp = _p[p];
|
||
|
if (pp == nil()) {
|
||
|
--_degree[p];
|
||
|
break;
|
||
|
}
|
||
|
if (_mark[p] == false) {
|
||
|
_mark[p] = true;
|
||
|
--_degree[p];
|
||
|
break;
|
||
|
} else
|
||
|
--_degree[p];
|
||
|
v = p;
|
||
|
p = pp;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
inline size_type size() const { return _n; }
|
||
|
inline bool empty() const { return _n == 0; }
|
||
|
|
||
|
void print(std::ostream& os) {
|
||
|
if (_root != nil()) {
|
||
|
size_type i = _root;
|
||
|
do {
|
||
|
print_recur(i, os);
|
||
|
os << std::endl;
|
||
|
i = _right[i];
|
||
|
} while (i != _root);
|
||
|
}
|
||
|
}
|
||
|
|
||
|
protected:
|
||
|
// 35
|
||
|
inline void remove_from_family(size_type v, size_type p) {
|
||
|
size_type u = _left[v];
|
||
|
size_type w = _right[v];
|
||
|
_right[u] = w;
|
||
|
_left[w] = u;
|
||
|
if (_child[p] == v)
|
||
|
_child[p] = w;
|
||
|
}
|
||
|
// 36
|
||
|
inline void insert_into_forest(size_type v, const T& d) {
|
||
|
_p[v] = nil();
|
||
|
size_type u = _left[_root];
|
||
|
_left[v] = u;
|
||
|
_right[v] = _root;
|
||
|
_left[_root] = _right[u] = v;
|
||
|
if (_compare(d, _key[_root]))
|
||
|
_root = v;
|
||
|
}
|
||
|
|
||
|
void print_recur(size_type x, std::ostream& os) {
|
||
|
if (x != nil()) {
|
||
|
os << x;
|
||
|
if (_degree[x] > 0) {
|
||
|
os << "(";
|
||
|
size_type i = _child[x];
|
||
|
do {
|
||
|
print_recur(i, os); os << " ";
|
||
|
i = _right[i];
|
||
|
} while (i != _child[x]);
|
||
|
os << ")";
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
size_type nil() const { return _left.size(); }
|
||
|
|
||
|
std::vector<T> _key;
|
||
|
LinkVec _left, _right, _p;
|
||
|
std::vector<bool> _mark;
|
||
|
LinkVec _degree;
|
||
|
size_type _n, _root;
|
||
|
ID _id;
|
||
|
Compare _compare;
|
||
|
LinkVec _child;
|
||
|
LinkVec new_roots;
|
||
|
};
|
||
|
|
||
|
} // namespace boost
|
||
|
|
||
|
|
||
|
#endif // BOOST_FIBONACCI_HEAP_HPP
|