src/lemon/bin_heap.h
changeset 921 818510fa3d99
parent 906 17f31d280385
child 967 6563019430ba
     1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/src/lemon/bin_heap.h	Wed Sep 29 15:30:04 2004 +0000
     1.3 @@ -0,0 +1,203 @@
     1.4 +/* -*- C++ -*-
     1.5 + * src/lemon/bin_heap.h - Part of LEMON, a generic C++ optimization library
     1.6 + *
     1.7 + * Copyright (C) 2004 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
     1.8 + * (Egervary Combinatorial Optimization Research Group, EGRES).
     1.9 + *
    1.10 + * Permission to use, modify and distribute this software is granted
    1.11 + * provided that this copyright notice appears in all copies. For
    1.12 + * precise terms see the accompanying LICENSE file.
    1.13 + *
    1.14 + * This software is provided "AS IS" with no warranty of any kind,
    1.15 + * express or implied, and with no claim as to its suitability for any
    1.16 + * purpose.
    1.17 + *
    1.18 + */
    1.19 +
    1.20 +#ifndef LEMON_BIN_HEAP_H
    1.21 +#define LEMON_BIN_HEAP_H
    1.22 +
    1.23 +///\ingroup auxdat
    1.24 +///\file
    1.25 +///\brief Binary Heap implementation.
    1.26 +///\todo It should be documented.
    1.27 +
    1.28 +#include <vector>
    1.29 +#include <utility>
    1.30 +#include <functional>
    1.31 +
    1.32 +namespace lemon {
    1.33 +
    1.34 +  /// \addtogroup auxdat
    1.35 +  /// @{
    1.36 +
    1.37 +   /// A Binary Heap implementation.
    1.38 +  template <typename Item, typename Prio, typename ItemIntMap,
    1.39 +	    typename Compare = std::less<Prio> >
    1.40 +  class BinHeap {
    1.41 +
    1.42 +  public:
    1.43 +    typedef Item                             ItemType;
    1.44 +    // FIXME: stl-ben nem ezt hivjak value_type -nak, hanem a kovetkezot...
    1.45 +    typedef Prio                             PrioType;
    1.46 +    typedef std::pair<ItemType,PrioType>     PairType;
    1.47 +    typedef ItemIntMap                       ItemIntMapType;
    1.48 +    typedef Compare                          PrioCompare;
    1.49 +
    1.50 +    /**
    1.51 +     * Each Item element have a state associated to it. It may be "in heap",
    1.52 +     * "pre heap" or "post heap". The later two are indifferent from the
    1.53 +     * heap's point of view, but may be useful to the user.
    1.54 +     *
    1.55 +     * The ItemIntMap _should_ be initialized in such way, that it maps
    1.56 +     * PRE_HEAP (-1) to any element to be put in the heap...
    1.57 +     */
    1.58 +    ///\todo it is used nowhere
    1.59 +    ///
    1.60 +    enum state_enum {
    1.61 +      IN_HEAP = 0,
    1.62 +      PRE_HEAP = -1,
    1.63 +      POST_HEAP = -2
    1.64 +    };
    1.65 +
    1.66 +  private:
    1.67 +    std::vector<PairType> data;
    1.68 +    Compare comp;
    1.69 +    // FIXME: jo ez igy???
    1.70 +    ItemIntMap &iim;
    1.71 +
    1.72 +  public:
    1.73 +    BinHeap(ItemIntMap &_iim) : iim(_iim) {}
    1.74 +    BinHeap(ItemIntMap &_iim, const Compare &_comp) : comp(_comp), iim(_iim) {}
    1.75 +
    1.76 +
    1.77 +    int size() const { return data.size(); }
    1.78 +    bool empty() const { return data.empty(); }
    1.79 +
    1.80 +  private:
    1.81 +    static int parent(int i) { return (i-1)/2; }
    1.82 +    static int second_child(int i) { return 2*i+2; }
    1.83 +    bool less(const PairType &p1, const PairType &p2) const {
    1.84 +      return comp(p1.second, p2.second);
    1.85 +    }
    1.86 +
    1.87 +    int bubble_up(int hole, PairType p);
    1.88 +    int bubble_down(int hole, PairType p, int length);
    1.89 +
    1.90 +    void move(const PairType &p, int i) {
    1.91 +      data[i] = p;
    1.92 +      iim.set(p.first, i);
    1.93 +    }
    1.94 +
    1.95 +    void rmidx(int h) {
    1.96 +      int n = data.size()-1;
    1.97 +      if( h>=0 && h<=n ) {
    1.98 +	iim.set(data[h].first, POST_HEAP);
    1.99 +	if ( h<n ) {
   1.100 +	  bubble_down(h, data[n], n);
   1.101 +	}
   1.102 +	data.pop_back();
   1.103 +      }
   1.104 +    }
   1.105 +
   1.106 +  public:
   1.107 +    void push(const PairType &p) {
   1.108 +      int n = data.size();
   1.109 +      data.resize(n+1);
   1.110 +      bubble_up(n, p);
   1.111 +    }
   1.112 +    void push(const Item &i, const Prio &p) { push(PairType(i,p)); }
   1.113 +
   1.114 +    Item top() const {
   1.115 +      return data[0].first;
   1.116 +    }
   1.117 +    /// Returns the prio of the top element of the heap.
   1.118 +    Prio prio() const {
   1.119 +      return data[0].second;
   1.120 +    }
   1.121 +
   1.122 +    void pop() {
   1.123 +      rmidx(0);
   1.124 +    }
   1.125 +
   1.126 +    void erase(const Item &i) {
   1.127 +      rmidx(iim[i]);
   1.128 +    }
   1.129 +
   1.130 +    Prio operator[](const Item &i) const {
   1.131 +      int idx = iim[i];
   1.132 +      return data[idx].second;
   1.133 +    }
   1.134 +
   1.135 +    void set(const Item &i, const Prio &p) {
   1.136 +      int idx = iim[i];
   1.137 +      if( idx < 0 ) {
   1.138 +	push(i,p);
   1.139 +      }
   1.140 +      else if( comp(p, data[idx].second) ) {
   1.141 +	bubble_up(idx, PairType(i,p));
   1.142 +      }
   1.143 +      else {
   1.144 +	bubble_down(idx, PairType(i,p), data.size());
   1.145 +      }
   1.146 +    }
   1.147 +
   1.148 +    void decrease(const Item &i, const Prio &p) {
   1.149 +      int idx = iim[i];
   1.150 +      bubble_up(idx, PairType(i,p));
   1.151 +    }
   1.152 +    void increase(const Item &i, const Prio &p) {
   1.153 +      int idx = iim[i];
   1.154 +      bubble_down(idx, PairType(i,p), data.size());
   1.155 +    }
   1.156 +
   1.157 +    state_enum state(const Item &i) const {
   1.158 +      int s = iim[i];
   1.159 +      if( s>=0 )
   1.160 +	s=0;
   1.161 +      return state_enum(s);
   1.162 +    }
   1.163 +
   1.164 +  }; // class BinHeap
   1.165 +
   1.166 +  
   1.167 +  template <typename K, typename V, typename M, typename C>
   1.168 +  int BinHeap<K,V,M,C>::bubble_up(int hole, PairType p) {
   1.169 +    int par = parent(hole);
   1.170 +    while( hole>0 && less(p,data[par]) ) {
   1.171 +      move(data[par],hole);
   1.172 +      hole = par;
   1.173 +      par = parent(hole);
   1.174 +    }
   1.175 +    move(p, hole);
   1.176 +    return hole;
   1.177 +  }
   1.178 +
   1.179 +  template <typename K, typename V, typename M, typename C>
   1.180 +  int BinHeap<K,V,M,C>::bubble_down(int hole, PairType p, int length) {
   1.181 +    int child = second_child(hole);
   1.182 +    while(child < length) {
   1.183 +      if( less(data[child-1], data[child]) ) {
   1.184 +	--child;
   1.185 +      }
   1.186 +      if( !less(data[child], p) )
   1.187 +	goto ok;
   1.188 +      move(data[child], hole);
   1.189 +      hole = child;
   1.190 +      child = second_child(hole);
   1.191 +    }
   1.192 +    child--;
   1.193 +    if( child<length && less(data[child], p) ) {
   1.194 +      move(data[child], hole);
   1.195 +      hole=child;
   1.196 +    }
   1.197 +  ok:
   1.198 +    move(p, hole);
   1.199 +    return hole;
   1.200 +  }
   1.201 +
   1.202 +  ///@}
   1.203 +
   1.204 +} // namespace lemon
   1.205 +
   1.206 +#endif // LEMON_BIN_HEAP_H