author | Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com> |
Tue, 02 Feb 2010 02:01:42 +0200 | |
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// (C) Copyright Jeremy Siek 2004. |
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// Distributed under the Boost Software License, Version 1.0. (See |
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// accompanying file LICENSE_1_0.txt or copy at |
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// http://www.boost.org/LICENSE_1_0.txt) |
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#ifndef BOOST_FIBONACCI_HEAP_HPP |
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#define BOOST_FIBONACCI_HEAP_HPP |
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#if defined(__sgi) && !defined(__GNUC__) |
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# include <math.h> |
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#else |
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# include <cmath> |
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#endif |
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#include <iosfwd> |
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#include <vector> |
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#include <functional> |
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#include <boost/config.hpp> |
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#include <boost/property_map.hpp> |
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// |
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// An adaptation of Knuth's Fibonacci heap implementation |
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// in "The Stanford Graph Base", pages 475-482. |
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// |
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namespace boost { |
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template <class T, |
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class Compare = std::less<T>, |
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class ID = identity_property_map> |
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class fibonacci_heap |
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{ |
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typedef typename boost::property_traits<ID>::value_type size_type; |
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typedef T value_type; |
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protected: |
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typedef fibonacci_heap self; |
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typedef std::vector<size_type> LinkVec; |
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typedef typename LinkVec::iterator LinkIter; |
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public: |
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fibonacci_heap(size_type n, |
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const Compare& cmp, |
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const ID& id = identity_property_map()) |
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: _key(n), _left(n), _right(n), _p(n), _mark(n), _degree(n), |
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_n(0), _root(n), _id(id), _compare(cmp), _child(n), |
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#if defined(BOOST_MSVC) || defined(__ICL) // need a new macro? |
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new_roots(size_type(log(float(n))) + 5) { } |
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#else |
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new_roots(size_type(std::log(float(n))) + 5) { } |
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#endif |
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// 33 |
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void push(const T& d) { |
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++_n; |
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size_type v = get(_id, d); |
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_key[v] = d; |
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_p[v] = nil(); |
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_degree[v] = 0; |
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_mark[v] = false; |
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_child[v] = nil(); |
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if (_root == nil()) { |
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_root = _left[v] = _right[v] = v; |
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//std::cout << "root added" << std::endl; |
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} else { |
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size_type u = _left[_root]; |
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_left[v] = u; |
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_right[v] = _root; |
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_left[_root] = _right[u] = v; |
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if (_compare(d, _key[_root])) |
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_root = v; |
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//std::cout << "non-root node added" << std::endl; |
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} |
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} |
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T& top() { return _key[_root]; } |
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const T& top() const { return _key[_root]; } |
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// 38 |
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void pop() { |
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--_n; |
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int h = -1; |
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size_type v, w; |
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if (_root != nil()) { |
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if (_degree[_root] == 0) { |
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v = _right[_root]; |
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} else { |
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w = _child[_root]; |
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v = _right[w]; |
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_right[w] = _right[_root]; |
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for (w = v; w != _right[_root]; w = _right[w]) |
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_p[w] = nil(); |
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} |
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while (v != _root) { |
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w = _right[v]; |
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add_tree_to_new_roots(v, new_roots.begin(), h); |
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v = w; |
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} |
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rebuild_root_list(new_roots.begin(), h); |
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} |
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} |
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// 39 |
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inline void add_tree_to_new_roots(size_type v, |
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LinkIter new_roots, |
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int& h) |
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{ |
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int r; |
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diff
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|
105 |
size_type u; |
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parents:
diff
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|
106 |
r = _degree[v]; |
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parents:
diff
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|
107 |
while (1) { |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
108 |
if (h < r) { |
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|
109 |
do { |
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diff
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|
110 |
++h; |
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diff
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|
111 |
new_roots[h] = (h == r ? v : nil()); |
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|
112 |
} while (h < r); |
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|
113 |
break; |
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diff
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|
114 |
} |
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|
115 |
if (new_roots[r] == nil()) { |
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|
116 |
new_roots[r] = v; |
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diff
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|
117 |
break; |
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diff
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|
118 |
} |
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|
119 |
u = new_roots[r]; |
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parents:
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|
120 |
new_roots[r] = nil(); |
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parents:
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|
121 |
if (_compare(_key[u], _key[v])) { |
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Revision: 201002
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|
122 |
_degree[v] = r; |
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|
123 |
std::swap(u, v); |
e4d67989cc36
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|
124 |
} |
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Revision: 201002
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|
125 |
make_child(u, v, r); |
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Revision: 201002
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|
126 |
++r; |
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|
127 |
} |
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|
128 |
_degree[v] = r; |
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|
129 |
} |
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|
130 |
// 40 |
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|
131 |
void make_child(size_type u, size_type v, size_type r) { |
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|
132 |
if (r == 0) { |
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|
133 |
_child[v] = u; |
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|
134 |
_left[u] = u; |
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parents:
diff
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|
135 |
_right[u] = u; |
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parents:
diff
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|
136 |
} else { |
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parents:
diff
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|
137 |
size_type t = _child[v]; |
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Revision: 201002
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parents:
diff
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|
138 |
_right[u] = _right[t]; |
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Revision: 201002
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parents:
diff
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|
139 |
_left[u] = t; |
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Revision: 201002
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parents:
diff
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|
140 |
_right[t] = u; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
141 |
_left[_right[u]] = u; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
142 |
} |
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Revision: 201002
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parents:
diff
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|
143 |
_p[u] = v; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
144 |
} |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
145 |
// 41 |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
146 |
inline void rebuild_root_list(LinkIter new_roots, int& h) |
e4d67989cc36
Revision: 201002
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|
147 |
{ |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
148 |
size_type u, v, w; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
149 |
if (h < 0) |
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Revision: 201002
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|
150 |
_root = nil(); |
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Revision: 201002
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parents:
diff
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|
151 |
else { |
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Revision: 201002
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parents:
diff
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|
152 |
T d; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
153 |
u = v = new_roots[h]; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
154 |
d = _key[u]; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
155 |
_root = u; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
156 |
for (h--; h >= 0; --h) |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
157 |
if (new_roots[h] != nil()) { |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
158 |
w = new_roots[h]; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
159 |
_left[w] = v; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
160 |
_right[v] = w; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
161 |
if (_compare(_key[w], d)) { |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
162 |
_root = w; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
163 |
d = _key[w]; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
164 |
} |
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
165 |
v = w; |
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
166 |
} |
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
167 |
_right[v] = u; |
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
168 |
_left[u] = v; |
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
169 |
} |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
170 |
} |
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
171 |
|
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
172 |
// 34 |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
173 |
void update(const T& d) { |
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
174 |
size_type v = get(_id, d); |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
175 |
assert(!_compare(_key[v], d)); |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
176 |
_key[v] = d; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
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|
177 |
size_type p = _p[v]; |
e4d67989cc36
Revision: 201002
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parents:
diff
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|
178 |
if (p == nil()) { |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
179 |
if (_compare(d, _key[_root])) |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
180 |
_root = v; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
181 |
} else if (_compare(d, _key[_root])) |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
182 |
while (1) { |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
183 |
size_type r = _degree[p]; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
184 |
if (r >= 2) |
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
185 |
remove_from_family(v, p); |
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
186 |
insert_into_forest(v, d); |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
187 |
size_type pp = _p[p]; |
e4d67989cc36
Revision: 201002
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parents:
diff
changeset
|
188 |
if (pp == nil()) { |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
189 |
--_degree[p]; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
190 |
break; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
191 |
} |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
192 |
if (_mark[p] == false) { |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
193 |
_mark[p] = true; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
194 |
break; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
195 |
} else |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
196 |
--_degree[p]; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
197 |
v = p; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
198 |
p = pp; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
199 |
} |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
200 |
} |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
201 |
|
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
202 |
inline size_type size() const { return _n; } |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
203 |
inline bool empty() const { return _n == 0; } |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
204 |
|
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
205 |
void print(std::ostream& os) { |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
206 |
if (_root != nil()) { |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
207 |
size_type i = _root; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
208 |
do { |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
209 |
print_recur(i, os); |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
|
210 |
os << std::endl; |
e4d67989cc36
Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff
changeset
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i = _right[i]; |
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} while (i != _root); |
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} |
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} |
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protected: |
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// 35 |
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inline void remove_from_family(size_type v, size_type p) { |
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size_type u = _left[v]; |
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size_type w = _right[v]; |
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_right[u] = w; |
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_left[w] = u; |
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if (_child[p] == v) |
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_child[p] = w; |
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} |
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// 36 |
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inline void insert_into_forest(size_type v, const T& d) { |
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_p[v] = nil(); |
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size_type u = _left[_root]; |
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_left[v] = u; |
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_right[v] = _root; |
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_left[_root] = _right[u] = v; |
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if (_compare(d, _key[_root])) |
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_root = v; |
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} |
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|
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void print_recur(size_type x, std::ostream& os) { |
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if (x != nil()) { |
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os << x; |
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if (_child[x] != nil()) { |
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os << "("; |
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size_type i = _child[x]; |
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do { |
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print_recur(i, os); os << " "; |
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i = _right[i]; |
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} while (i != _child[x]); |
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os << ")"; |
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} |
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} |
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} |
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|
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size_type nil() const { return _left.size(); } |
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|
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std::vector<T> _key; |
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LinkVec _left, _right, _p; |
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std::vector<bool> _mark; |
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LinkVec _degree; |
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size_type _n, _root; |
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ID _id; |
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Compare _compare; |
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LinkVec _child; |
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LinkVec new_roots; |
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}; |
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|
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} // namespace boost |
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#endif // BOOST_FIBONACCI_HEAP_HPP |