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1 // (C) Copyright Jeremy Siek 2004.
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2 // Distributed under the Boost Software License, Version 1.0. (See
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3 // accompanying file LICENSE_1_0.txt or copy at
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4 // http://www.boost.org/LICENSE_1_0.txt)
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5 #ifndef BOOST_FIBONACCI_HEAP_HPP
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6 #define BOOST_FIBONACCI_HEAP_HPP
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7
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8 #if defined(__sgi) && !defined(__GNUC__)
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9 # include <math.h>
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10 #else
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11 # include <boost/config/no_tr1/cmath.hpp>
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12 #endif
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13 #include <iosfwd>
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14 #include <vector>
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15 #include <functional>
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16 #include <boost/config.hpp>
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17 #include <boost/property_map/property_map.hpp>
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18
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19 //
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20 // An adaptation of Knuth's Fibonacci heap implementation
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21 // in "The Stanford Graph Base", pages 475-482.
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22 //
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23
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24 namespace boost {
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25
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26
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27 template <class T,
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28 class Compare = std::less<T>,
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29 class ID = identity_property_map>
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30 class fibonacci_heap
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31 {
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32 typedef typename boost::property_traits<ID>::value_type size_type;
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33 typedef T value_type;
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34 protected:
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35 typedef fibonacci_heap self;
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36 typedef std::vector<size_type> LinkVec;
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37 typedef typename LinkVec::iterator LinkIter;
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38 public:
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39
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40 fibonacci_heap(size_type n,
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41 const Compare& cmp,
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42 const ID& id = identity_property_map())
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43 : _key(n), _left(n), _right(n), _p(n), _mark(n), _degree(n),
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44 _n(0), _root(n), _id(id), _compare(cmp), _child(n),
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45 #if defined(BOOST_MSVC) || defined(__ICL) // need a new macro?
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46 new_roots(size_type(log(float(n))) + 5) { }
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47 #else
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48 new_roots(size_type(std::log(float(n))) + 5) { }
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49 #endif
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50
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51 // 33
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52 void push(const T& d) {
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53 ++_n;
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54 size_type v = get(_id, d);
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55 _key[v] = d;
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56 _p[v] = nil();
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57 _degree[v] = 0;
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58 _mark[v] = false;
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59 _child[v] = nil();
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60 if (_root == nil()) {
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61 _root = _left[v] = _right[v] = v;
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62 //std::cout << "root added" << std::endl;
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63 } else {
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64 size_type u = _left[_root];
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65 _left[v] = u;
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66 _right[v] = _root;
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67 _left[_root] = _right[u] = v;
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68 if (_compare(d, _key[_root]))
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69 _root = v;
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70 //std::cout << "non-root node added" << std::endl;
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71 }
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72 }
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73 T& top() { return _key[_root]; }
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74 const T& top() const { return _key[_root]; }
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75
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76 // 38
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77 void pop() {
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78 --_n;
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79 int h = -1;
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80 size_type v, w;
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81 if (_root != nil()) {
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82 if (_degree[_root] == 0) {
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83 v = _right[_root];
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84 } else {
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85 w = _child[_root];
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86 v = _right[w];
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87 _right[w] = _right[_root];
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88 for (w = v; w != _right[_root]; w = _right[w])
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89 _p[w] = nil();
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90 }
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91 while (v != _root) {
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92 w = _right[v];
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93 add_tree_to_new_roots(v, new_roots.begin(), h);
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94 v = w;
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95 }
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96 rebuild_root_list(new_roots.begin(), h);
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97 }
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98 }
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99 // 39
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100 inline void add_tree_to_new_roots(size_type v,
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101 LinkIter new_roots,
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102 int& h)
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103 {
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104 int r;
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105 size_type u;
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106 r = _degree[v];
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107 while (1) {
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108 if (h < r) {
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109 do {
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110 ++h;
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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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114 }
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115 if (new_roots[r] == nil()) {
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116 new_roots[r] = v;
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117 break;
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118 }
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119 u = new_roots[r];
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120 new_roots[r] = nil();
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121 if (_compare(_key[u], _key[v])) {
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122 _degree[v] = r;
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123 _mark[v] = false;
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124 std::swap(u, v);
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125 }
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126 make_child(u, v, r);
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127 ++r;
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128 }
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129 _degree[v] = r;
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130 _mark[v] = false;
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131 }
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132 // 40
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133 void make_child(size_type u, size_type v, size_type r) {
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134 if (r == 0) {
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135 _child[v] = u;
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136 _left[u] = u;
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137 _right[u] = u;
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138 } else {
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139 size_type t = _child[v];
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140 _right[u] = _right[t];
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141 _left[u] = t;
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142 _right[t] = u;
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143 _left[_right[u]] = u;
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144 }
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145 _p[u] = v;
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146 }
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147 // 41
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148 inline void rebuild_root_list(LinkIter new_roots, int& h)
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149 {
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150 size_type u, v, w;
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151 if (h < 0)
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152 _root = nil();
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153 else {
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154 T d;
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155 u = v = new_roots[h];
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156 d = _key[u];
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157 _root = u;
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158 for (h--; h >= 0; --h)
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159 if (new_roots[h] != nil()) {
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160 w = new_roots[h];
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161 _left[w] = v;
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162 _right[v] = w;
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163 if (_compare(_key[w], d)) {
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164 _root = w;
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165 d = _key[w];
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166 }
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167 v = w;
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168 }
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169 _right[v] = u;
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170 _left[u] = v;
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171 }
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172 }
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173
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174 // 34
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175 void update(const T& d) {
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176 size_type v = get(_id, d);
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177 assert(!_compare(_key[v], d));
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178 _key[v] = d;
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179 size_type p = _p[v];
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180 if (p == nil()) {
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181 if (_compare(d, _key[_root]))
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182 _root = v;
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183 } else if (_compare(d, _key[p]))
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184 while (1) {
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185 size_type r = _degree[p];
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186 if (r >= 2)
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187 remove_from_family(v, p);
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188 insert_into_forest(v, d);
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189 size_type pp = _p[p];
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190 if (pp == nil()) {
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191 --_degree[p];
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192 break;
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193 }
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194 if (_mark[p] == false) {
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195 _mark[p] = true;
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196 --_degree[p];
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197 break;
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198 } else
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199 --_degree[p];
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200 v = p;
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201 p = pp;
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202 }
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203 }
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204
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205 inline size_type size() const { return _n; }
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206 inline bool empty() const { return _n == 0; }
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207
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208 void print(std::ostream& os) {
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209 if (_root != nil()) {
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210 size_type i = _root;
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211 do {
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212 print_recur(i, os);
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213 os << std::endl;
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214 i = _right[i];
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215 } while (i != _root);
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216 }
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217 }
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218
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219 protected:
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220 // 35
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221 inline void remove_from_family(size_type v, size_type p) {
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222 size_type u = _left[v];
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223 size_type w = _right[v];
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224 _right[u] = w;
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225 _left[w] = u;
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226 if (_child[p] == v)
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227 _child[p] = w;
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228 }
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229 // 36
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230 inline void insert_into_forest(size_type v, const T& d) {
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231 _p[v] = nil();
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232 size_type u = _left[_root];
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233 _left[v] = u;
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234 _right[v] = _root;
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235 _left[_root] = _right[u] = v;
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236 if (_compare(d, _key[_root]))
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237 _root = v;
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238 }
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239
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240 void print_recur(size_type x, std::ostream& os) {
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241 if (x != nil()) {
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242 os << x;
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243 if (_degree[x] > 0) {
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244 os << "(";
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245 size_type i = _child[x];
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246 do {
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247 print_recur(i, os); os << " ";
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248 i = _right[i];
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249 } while (i != _child[x]);
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250 os << ")";
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251 }
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252 }
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253 }
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254
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255 size_type nil() const { return _left.size(); }
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256
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257 std::vector<T> _key;
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258 LinkVec _left, _right, _p;
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259 std::vector<bool> _mark;
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260 LinkVec _degree;
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261 size_type _n, _root;
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262 ID _id;
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263 Compare _compare;
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264 LinkVec _child;
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265 LinkVec new_roots;
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266 };
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267
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268 } // namespace boost
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269
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270
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271 #endif // BOOST_FIBONACCI_HEAP_HPP
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