lemon/list_graph.h
author Peter Kovacs <kpeter@inf.elte.hu>
Tue, 02 Mar 2010 10:27:47 +0100
changeset 858 9f6ed854d409
parent 787 c2230649a493
parent 786 e20173729589
child 877 141f9c0db4a3
permissions -rw-r--r--
Also test fullInit() in suurballe_test (#181, #323)
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/* -*- mode: C++; indent-tabs-mode: nil; -*-
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 *
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 * This file is a part of LEMON, a generic C++ optimization library.
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 *
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 * Copyright (C) 2003-2009
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 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
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 * (Egervary Research Group on Combinatorial Optimization, EGRES).
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 *
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 * Permission to use, modify and distribute this software is granted
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 * provided that this copyright notice appears in all copies. For
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 * precise terms see the accompanying LICENSE file.
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 *
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 * This software is provided "AS IS" with no warranty of any kind,
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 * express or implied, and with no claim as to its suitability for any
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 * purpose.
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 *
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 */
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#ifndef LEMON_LIST_GRAPH_H
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#define LEMON_LIST_GRAPH_H
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///\ingroup graphs
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///\file
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///\brief ListDigraph and ListGraph classes.
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#include <lemon/core.h>
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#include <lemon/error.h>
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#include <lemon/bits/graph_extender.h>
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#include <vector>
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#include <list>
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namespace lemon {
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  class ListDigraph;
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  class ListDigraphBase {
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  protected:
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    struct NodeT {
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      int first_in, first_out;
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      int prev, next;
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    };
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    struct ArcT {
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      int target, source;
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      int prev_in, prev_out;
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      int next_in, next_out;
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    };
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    std::vector<NodeT> nodes;
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    int first_node;
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    int first_free_node;
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    std::vector<ArcT> arcs;
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    int first_free_arc;
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  public:
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    typedef ListDigraphBase Digraph;
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    class Node {
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      friend class ListDigraphBase;
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      friend class ListDigraph;
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    protected:
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      int id;
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      explicit Node(int pid) { id = pid;}
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    public:
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      Node() {}
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      Node (Invalid) { id = -1; }
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      bool operator==(const Node& node) const {return id == node.id;}
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      bool operator!=(const Node& node) const {return id != node.id;}
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      bool operator<(const Node& node) const {return id < node.id;}
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    };
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    class Arc {
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      friend class ListDigraphBase;
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      friend class ListDigraph;
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    protected:
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      int id;
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      explicit Arc(int pid) { id = pid;}
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    public:
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      Arc() {}
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      Arc (Invalid) { id = -1; }
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      bool operator==(const Arc& arc) const {return id == arc.id;}
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      bool operator!=(const Arc& arc) const {return id != arc.id;}
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      bool operator<(const Arc& arc) const {return id < arc.id;}
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    };
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    ListDigraphBase()
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      : nodes(), first_node(-1),
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        first_free_node(-1), arcs(), first_free_arc(-1) {}
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    int maxNodeId() const { return nodes.size()-1; }
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    int maxArcId() const { return arcs.size()-1; }
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    Node source(Arc e) const { return Node(arcs[e.id].source); }
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    Node target(Arc e) const { return Node(arcs[e.id].target); }
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    void first(Node& node) const {
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      node.id = first_node;
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    }
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    void next(Node& node) const {
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      node.id = nodes[node.id].next;
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    }
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    void first(Arc& arc) const {
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      int n;
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      for(n = first_node;
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          n != -1 && nodes[n].first_out == -1;
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          n = nodes[n].next) {}
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      arc.id = (n == -1) ? -1 : nodes[n].first_out;
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    }
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    void next(Arc& arc) const {
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      if (arcs[arc.id].next_out != -1) {
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        arc.id = arcs[arc.id].next_out;
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      } else {
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        int n;
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        for(n = nodes[arcs[arc.id].source].next;
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            n != -1 && nodes[n].first_out == -1;
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            n = nodes[n].next) {}
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        arc.id = (n == -1) ? -1 : nodes[n].first_out;
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      }
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    }
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    void firstOut(Arc &e, const Node& v) const {
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      e.id = nodes[v.id].first_out;
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    }
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    void nextOut(Arc &e) const {
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      e.id=arcs[e.id].next_out;
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    }
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    void firstIn(Arc &e, const Node& v) const {
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      e.id = nodes[v.id].first_in;
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    }
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    void nextIn(Arc &e) const {
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      e.id=arcs[e.id].next_in;
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    }
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    static int id(Node v) { return v.id; }
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    static int id(Arc e) { return e.id; }
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    static Node nodeFromId(int id) { return Node(id);}
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    static Arc arcFromId(int id) { return Arc(id);}
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    bool valid(Node n) const {
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      return n.id >= 0 && n.id < static_cast<int>(nodes.size()) &&
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        nodes[n.id].prev != -2;
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    }
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    bool valid(Arc a) const {
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      return a.id >= 0 && a.id < static_cast<int>(arcs.size()) &&
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        arcs[a.id].prev_in != -2;
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    }
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    Node addNode() {
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      int n;
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      if(first_free_node==-1) {
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        n = nodes.size();
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        nodes.push_back(NodeT());
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      } else {
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        n = first_free_node;
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        first_free_node = nodes[n].next;
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      }
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      nodes[n].next = first_node;
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      if(first_node != -1) nodes[first_node].prev = n;
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      first_node = n;
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      nodes[n].prev = -1;
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      nodes[n].first_in = nodes[n].first_out = -1;
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      return Node(n);
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    }
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    Arc addArc(Node u, Node v) {
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      int n;
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      if (first_free_arc == -1) {
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        n = arcs.size();
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        arcs.push_back(ArcT());
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      } else {
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        n = first_free_arc;
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        first_free_arc = arcs[n].next_in;
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      }
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      arcs[n].source = u.id;
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      arcs[n].target = v.id;
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      arcs[n].next_out = nodes[u.id].first_out;
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      if(nodes[u.id].first_out != -1) {
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        arcs[nodes[u.id].first_out].prev_out = n;
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      }
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      arcs[n].next_in = nodes[v.id].first_in;
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      if(nodes[v.id].first_in != -1) {
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        arcs[nodes[v.id].first_in].prev_in = n;
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      }
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      arcs[n].prev_in = arcs[n].prev_out = -1;
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      nodes[u.id].first_out = nodes[v.id].first_in = n;
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      return Arc(n);
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    }
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    void erase(const Node& node) {
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      int n = node.id;
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      if(nodes[n].next != -1) {
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        nodes[nodes[n].next].prev = nodes[n].prev;
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      }
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      if(nodes[n].prev != -1) {
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        nodes[nodes[n].prev].next = nodes[n].next;
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      } else {
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        first_node = nodes[n].next;
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      }
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      nodes[n].next = first_free_node;
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      first_free_node = n;
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      nodes[n].prev = -2;
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    }
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    void erase(const Arc& arc) {
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      int n = arc.id;
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      if(arcs[n].next_in!=-1) {
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        arcs[arcs[n].next_in].prev_in = arcs[n].prev_in;
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      }
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      if(arcs[n].prev_in!=-1) {
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        arcs[arcs[n].prev_in].next_in = arcs[n].next_in;
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      } else {
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        nodes[arcs[n].target].first_in = arcs[n].next_in;
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      }
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      if(arcs[n].next_out!=-1) {
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        arcs[arcs[n].next_out].prev_out = arcs[n].prev_out;
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      }
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      if(arcs[n].prev_out!=-1) {
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        arcs[arcs[n].prev_out].next_out = arcs[n].next_out;
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      } else {
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        nodes[arcs[n].source].first_out = arcs[n].next_out;
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      }
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      arcs[n].next_in = first_free_arc;
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      first_free_arc = n;
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      arcs[n].prev_in = -2;
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    }
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    void clear() {
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      arcs.clear();
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      nodes.clear();
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      first_node = first_free_node = first_free_arc = -1;
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    }
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  protected:
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    void changeTarget(Arc e, Node n)
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    {
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      if(arcs[e.id].next_in != -1)
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        arcs[arcs[e.id].next_in].prev_in = arcs[e.id].prev_in;
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      if(arcs[e.id].prev_in != -1)
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        arcs[arcs[e.id].prev_in].next_in = arcs[e.id].next_in;
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      else nodes[arcs[e.id].target].first_in = arcs[e.id].next_in;
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      if (nodes[n.id].first_in != -1) {
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        arcs[nodes[n.id].first_in].prev_in = e.id;
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      }
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      arcs[e.id].target = n.id;
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      arcs[e.id].prev_in = -1;
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      arcs[e.id].next_in = nodes[n.id].first_in;
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      nodes[n.id].first_in = e.id;
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    }
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    void changeSource(Arc e, Node n)
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    {
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      if(arcs[e.id].next_out != -1)
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        arcs[arcs[e.id].next_out].prev_out = arcs[e.id].prev_out;
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      if(arcs[e.id].prev_out != -1)
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        arcs[arcs[e.id].prev_out].next_out = arcs[e.id].next_out;
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      else nodes[arcs[e.id].source].first_out = arcs[e.id].next_out;
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      if (nodes[n.id].first_out != -1) {
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        arcs[nodes[n.id].first_out].prev_out = e.id;
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      }
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      arcs[e.id].source = n.id;
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      arcs[e.id].prev_out = -1;
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      arcs[e.id].next_out = nodes[n.id].first_out;
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      nodes[n.id].first_out = e.id;
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    }
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  };
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  typedef DigraphExtender<ListDigraphBase> ExtendedListDigraphBase;
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  /// \addtogroup graphs
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  /// @{
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  ///A general directed graph structure.
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  ///\ref ListDigraph is a versatile and fast directed graph
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  ///implementation based on linked lists that are stored in
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  ///\c std::vector structures.
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  ///
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  ///This type fully conforms to the \ref concepts::Digraph "Digraph concept"
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  ///and it also provides several useful additional functionalities.
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  ///Most of its member functions and nested classes are documented
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  ///only in the concept class.
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  ///
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  ///This class provides only linear time counting for nodes and arcs.
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  ///
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  ///\sa concepts::Digraph
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  ///\sa ListGraph
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  class ListDigraph : public ExtendedListDigraphBase {
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    typedef ExtendedListDigraphBase Parent;
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  private:
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    /// Digraphs are \e not copy constructible. Use DigraphCopy instead.
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    ListDigraph(const ListDigraph &) :ExtendedListDigraphBase() {};
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    /// \brief Assignment of a digraph to another one is \e not allowed.
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    /// Use DigraphCopy instead.
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    void operator=(const ListDigraph &) {}
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  public:
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    /// Constructor
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    /// Constructor.
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    ///
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    ListDigraph() {}
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    ///Add a new node to the digraph.
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    ///This function adds a new node to the digraph.
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    ///\return The new node.
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    Node addNode() { return Parent::addNode(); }
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    ///Add a new arc to the digraph.
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    ///This function adds a new arc to the digraph with source node \c s
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    ///and target node \c t.
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    ///\return The new arc.
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    Arc addArc(Node s, Node t) {
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      return Parent::addArc(s, t);
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    }
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    ///\brief Erase a node from the digraph.
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    ///
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    ///This function erases the given node along with its outgoing and
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    ///incoming arcs from the digraph.
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    ///
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    ///\note All iterators referencing the removed node or the connected
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    ///arcs are invalidated, of course.
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    void erase(Node n) { Parent::erase(n); }
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    ///\brief Erase an arc from the digraph.
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    ///
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    ///This function erases the given arc from the digraph.
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    ///
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    ///\note All iterators referencing the removed arc are invalidated,
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    ///of course.
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    void erase(Arc a) { Parent::erase(a); }
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    /// Node validity check
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    /// This function gives back \c true if the given node is valid,
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    /// i.e. it is a real node of the digraph.
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    ///
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    /// \warning A removed node could become valid again if new nodes are
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    /// added to the digraph.
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    bool valid(Node n) const { return Parent::valid(n); }
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    /// Arc validity check
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    /// This function gives back \c true if the given arc is valid,
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    /// i.e. it is a real arc of the digraph.
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    ///
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    /// \warning A removed arc could become valid again if new arcs are
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    /// added to the digraph.
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    bool valid(Arc a) const { return Parent::valid(a); }
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    /// Change the target node of an arc
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    /// This function changes the target node of the given arc \c a to \c n.
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    ///
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    ///\note \c ArcIt and \c OutArcIt iterators referencing the changed
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    ///arc remain valid, but \c InArcIt iterators are invalidated.
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   404
    ///
deba@57
   405
    ///\warning This functionality cannot be used together with the Snapshot
deba@57
   406
    ///feature.
deba@235
   407
    void changeTarget(Arc a, Node n) {
deba@235
   408
      Parent::changeTarget(a,n);
deba@57
   409
    }
kpeter@735
   410
    /// Change the source node of an arc
deba@57
   411
kpeter@735
   412
    /// This function changes the source node of the given arc \c a to \c n.
deba@57
   413
    ///
kpeter@735
   414
    ///\note \c InArcIt iterators referencing the changed arc remain
kpeter@786
   415
    ///valid, but \c ArcIt and \c OutArcIt iterators are invalidated.
kpeter@73
   416
    ///
deba@57
   417
    ///\warning This functionality cannot be used together with the Snapshot
deba@57
   418
    ///feature.
deba@235
   419
    void changeSource(Arc a, Node n) {
deba@235
   420
      Parent::changeSource(a,n);
deba@57
   421
    }
deba@57
   422
kpeter@735
   423
    /// Reverse the direction of an arc.
deba@57
   424
kpeter@735
   425
    /// This function reverses the direction of the given arc.
kpeter@735
   426
    ///\note \c ArcIt, \c OutArcIt and \c InArcIt iterators referencing
kpeter@735
   427
    ///the changed arc are invalidated.
kpeter@73
   428
    ///
deba@57
   429
    ///\warning This functionality cannot be used together with the Snapshot
deba@57
   430
    ///feature.
kpeter@735
   431
    void reverseArc(Arc a) {
kpeter@735
   432
      Node t=target(a);
kpeter@735
   433
      changeTarget(a,source(a));
kpeter@735
   434
      changeSource(a,t);
deba@57
   435
    }
deba@57
   436
deba@57
   437
    ///Contract two nodes.
deba@57
   438
kpeter@735
   439
    ///This function contracts the given two nodes.
kpeter@735
   440
    ///Node \c v is removed, but instead of deleting its
kpeter@735
   441
    ///incident arcs, they are joined to node \c u.
kpeter@735
   442
    ///If the last parameter \c r is \c true (this is the default value),
kpeter@735
   443
    ///then the newly created loops are removed.
deba@57
   444
    ///
kpeter@735
   445
    ///\note The moved arcs are joined to node \c u using changeSource()
kpeter@735
   446
    ///or changeTarget(), thus \c ArcIt and \c OutArcIt iterators are
kpeter@735
   447
    ///invalidated for the outgoing arcs of node \c v and \c InArcIt
kpeter@735
   448
    ///iterators are invalidated for the incomming arcs of \c v.
kpeter@735
   449
    ///Moreover all iterators referencing node \c v or the removed 
kpeter@735
   450
    ///loops are also invalidated. Other iterators remain valid.
kpeter@73
   451
    ///
deba@57
   452
    ///\warning This functionality cannot be used together with the Snapshot
deba@57
   453
    ///feature.
kpeter@735
   454
    void contract(Node u, Node v, bool r = true)
deba@57
   455
    {
kpeter@735
   456
      for(OutArcIt e(*this,v);e!=INVALID;) {
alpar@209
   457
        OutArcIt f=e;
alpar@209
   458
        ++f;
kpeter@735
   459
        if(r && target(e)==u) erase(e);
kpeter@735
   460
        else changeSource(e,u);
alpar@209
   461
        e=f;
deba@57
   462
      }
kpeter@735
   463
      for(InArcIt e(*this,v);e!=INVALID;) {
alpar@209
   464
        InArcIt f=e;
alpar@209
   465
        ++f;
kpeter@735
   466
        if(r && source(e)==u) erase(e);
kpeter@735
   467
        else changeTarget(e,u);
alpar@209
   468
        e=f;
deba@57
   469
      }
kpeter@735
   470
      erase(v);
deba@57
   471
    }
deba@57
   472
deba@57
   473
    ///Split a node.
deba@57
   474
kpeter@735
   475
    ///This function splits the given node. First, a new node is added
kpeter@735
   476
    ///to the digraph, then the source of each outgoing arc of node \c n
kpeter@735
   477
    ///is moved to this new node.
kpeter@735
   478
    ///If the second parameter \c connect is \c true (this is the default
kpeter@735
   479
    ///value), then a new arc from node \c n to the newly created node
kpeter@735
   480
    ///is also added.
deba@57
   481
    ///\return The newly created node.
deba@57
   482
    ///
kpeter@738
   483
    ///\note All iterators remain valid.
deba@57
   484
    ///
kpeter@735
   485
    ///\warning This functionality cannot be used together with the
kpeter@73
   486
    ///Snapshot feature.
deba@57
   487
    Node split(Node n, bool connect = true) {
deba@57
   488
      Node b = addNode();
kpeter@738
   489
      nodes[b.id].first_out=nodes[n.id].first_out;
kpeter@738
   490
      nodes[n.id].first_out=-1;
kpeter@738
   491
      for(int i=nodes[b.id].first_out; i!=-1; i=arcs[i].next_out) {
kpeter@738
   492
        arcs[i].source=b.id;
deba@57
   493
      }
deba@57
   494
      if (connect) addArc(n,b);
deba@57
   495
      return b;
deba@57
   496
    }
alpar@209
   497
deba@57
   498
    ///Split an arc.
deba@57
   499
kpeter@735
   500
    ///This function splits the given arc. First, a new node \c v is
kpeter@735
   501
    ///added to the digraph, then the target node of the original arc
kpeter@735
   502
    ///is set to \c v. Finally, an arc from \c v to the original target
kpeter@735
   503
    ///is added.
kpeter@735
   504
    ///\return The newly created node.
kpeter@73
   505
    ///
kpeter@735
   506
    ///\note \c InArcIt iterators referencing the original arc are
kpeter@735
   507
    ///invalidated. Other iterators remain valid.
kpeter@73
   508
    ///
kpeter@73
   509
    ///\warning This functionality cannot be used together with the
kpeter@73
   510
    ///Snapshot feature.
kpeter@735
   511
    Node split(Arc a) {
kpeter@735
   512
      Node v = addNode();
kpeter@735
   513
      addArc(v,target(a));
kpeter@735
   514
      changeTarget(a,v);
kpeter@735
   515
      return v;
deba@57
   516
    }
alpar@209
   517
kpeter@735
   518
    ///Clear the digraph.
kpeter@735
   519
kpeter@735
   520
    ///This function erases all nodes and arcs from the digraph.
kpeter@735
   521
    ///
kpeter@787
   522
    ///\note All iterators of the digraph are invalidated, of course.
kpeter@735
   523
    void clear() {
kpeter@735
   524
      Parent::clear();
kpeter@735
   525
    }
kpeter@735
   526
kpeter@735
   527
    /// Reserve memory for nodes.
kpeter@735
   528
kpeter@735
   529
    /// Using this function, it is possible to avoid superfluous memory
kpeter@735
   530
    /// allocation: if you know that the digraph you want to build will
kpeter@735
   531
    /// be large (e.g. it will contain millions of nodes and/or arcs),
kpeter@735
   532
    /// then it is worth reserving space for this amount before starting
kpeter@735
   533
    /// to build the digraph.
kpeter@735
   534
    /// \sa reserveArc()
kpeter@735
   535
    void reserveNode(int n) { nodes.reserve(n); };
kpeter@735
   536
kpeter@735
   537
    /// Reserve memory for arcs.
kpeter@735
   538
kpeter@735
   539
    /// Using this function, it is possible to avoid superfluous memory
kpeter@735
   540
    /// allocation: if you know that the digraph you want to build will
kpeter@735
   541
    /// be large (e.g. it will contain millions of nodes and/or arcs),
kpeter@735
   542
    /// then it is worth reserving space for this amount before starting
kpeter@735
   543
    /// to build the digraph.
kpeter@735
   544
    /// \sa reserveNode()
kpeter@735
   545
    void reserveArc(int m) { arcs.reserve(m); };
kpeter@735
   546
deba@57
   547
    /// \brief Class to make a snapshot of the digraph and restore
kpeter@73
   548
    /// it later.
deba@57
   549
    ///
kpeter@73
   550
    /// Class to make a snapshot of the digraph and restore it later.
deba@57
   551
    ///
deba@57
   552
    /// The newly added nodes and arcs can be removed using the
deba@57
   553
    /// restore() function.
deba@57
   554
    ///
kpeter@735
   555
    /// \note After a state is restored, you cannot restore a later state, 
kpeter@735
   556
    /// i.e. you cannot add the removed nodes and arcs again using
kpeter@735
   557
    /// another Snapshot instance.
kpeter@735
   558
    ///
kpeter@735
   559
    /// \warning Node and arc deletions and other modifications (e.g.
kpeter@735
   560
    /// reversing, contracting, splitting arcs or nodes) cannot be
alpar@209
   561
    /// restored. These events invalidate the snapshot.
kpeter@786
   562
    /// However, the arcs and nodes that were added to the digraph after
kpeter@735
   563
    /// making the current snapshot can be removed without invalidating it.
deba@57
   564
    class Snapshot {
deba@57
   565
    protected:
deba@57
   566
deba@57
   567
      typedef Parent::NodeNotifier NodeNotifier;
deba@57
   568
deba@57
   569
      class NodeObserverProxy : public NodeNotifier::ObserverBase {
deba@57
   570
      public:
deba@57
   571
deba@57
   572
        NodeObserverProxy(Snapshot& _snapshot)
deba@57
   573
          : snapshot(_snapshot) {}
deba@57
   574
deba@57
   575
        using NodeNotifier::ObserverBase::attach;
deba@57
   576
        using NodeNotifier::ObserverBase::detach;
deba@57
   577
        using NodeNotifier::ObserverBase::attached;
alpar@209
   578
deba@57
   579
      protected:
alpar@209
   580
deba@57
   581
        virtual void add(const Node& node) {
deba@57
   582
          snapshot.addNode(node);
deba@57
   583
        }
deba@57
   584
        virtual void add(const std::vector<Node>& nodes) {
deba@57
   585
          for (int i = nodes.size() - 1; i >= 0; ++i) {
deba@57
   586
            snapshot.addNode(nodes[i]);
deba@57
   587
          }
deba@57
   588
        }
deba@57
   589
        virtual void erase(const Node& node) {
deba@57
   590
          snapshot.eraseNode(node);
deba@57
   591
        }
deba@57
   592
        virtual void erase(const std::vector<Node>& nodes) {
deba@57
   593
          for (int i = 0; i < int(nodes.size()); ++i) {
deba@57
   594
            snapshot.eraseNode(nodes[i]);
deba@57
   595
          }
deba@57
   596
        }
deba@57
   597
        virtual void build() {
deba@57
   598
          Node node;
deba@57
   599
          std::vector<Node> nodes;
alpar@209
   600
          for (notifier()->first(node); node != INVALID;
deba@57
   601
               notifier()->next(node)) {
deba@57
   602
            nodes.push_back(node);
deba@57
   603
          }
deba@57
   604
          for (int i = nodes.size() - 1; i >= 0; --i) {
deba@57
   605
            snapshot.addNode(nodes[i]);
deba@57
   606
          }
deba@57
   607
        }
deba@57
   608
        virtual void clear() {
deba@57
   609
          Node node;
alpar@209
   610
          for (notifier()->first(node); node != INVALID;
deba@57
   611
               notifier()->next(node)) {
deba@57
   612
            snapshot.eraseNode(node);
deba@57
   613
          }
deba@57
   614
        }
deba@57
   615
deba@57
   616
        Snapshot& snapshot;
deba@57
   617
      };
deba@57
   618
deba@57
   619
      class ArcObserverProxy : public ArcNotifier::ObserverBase {
deba@57
   620
      public:
deba@57
   621
deba@57
   622
        ArcObserverProxy(Snapshot& _snapshot)
deba@57
   623
          : snapshot(_snapshot) {}
deba@57
   624
deba@57
   625
        using ArcNotifier::ObserverBase::attach;
deba@57
   626
        using ArcNotifier::ObserverBase::detach;
deba@57
   627
        using ArcNotifier::ObserverBase::attached;
alpar@209
   628
deba@57
   629
      protected:
deba@57
   630
deba@57
   631
        virtual void add(const Arc& arc) {
deba@57
   632
          snapshot.addArc(arc);
deba@57
   633
        }
deba@57
   634
        virtual void add(const std::vector<Arc>& arcs) {
deba@57
   635
          for (int i = arcs.size() - 1; i >= 0; ++i) {
deba@57
   636
            snapshot.addArc(arcs[i]);
deba@57
   637
          }
deba@57
   638
        }
deba@57
   639
        virtual void erase(const Arc& arc) {
deba@57
   640
          snapshot.eraseArc(arc);
deba@57
   641
        }
deba@57
   642
        virtual void erase(const std::vector<Arc>& arcs) {
deba@57
   643
          for (int i = 0; i < int(arcs.size()); ++i) {
deba@57
   644
            snapshot.eraseArc(arcs[i]);
deba@57
   645
          }
deba@57
   646
        }
deba@57
   647
        virtual void build() {
deba@57
   648
          Arc arc;
deba@57
   649
          std::vector<Arc> arcs;
alpar@209
   650
          for (notifier()->first(arc); arc != INVALID;
deba@57
   651
               notifier()->next(arc)) {
deba@57
   652
            arcs.push_back(arc);
deba@57
   653
          }
deba@57
   654
          for (int i = arcs.size() - 1; i >= 0; --i) {
deba@57
   655
            snapshot.addArc(arcs[i]);
deba@57
   656
          }
deba@57
   657
        }
deba@57
   658
        virtual void clear() {
deba@57
   659
          Arc arc;
alpar@209
   660
          for (notifier()->first(arc); arc != INVALID;
deba@57
   661
               notifier()->next(arc)) {
deba@57
   662
            snapshot.eraseArc(arc);
deba@57
   663
          }
deba@57
   664
        }
deba@57
   665
deba@57
   666
        Snapshot& snapshot;
deba@57
   667
      };
alpar@209
   668
deba@57
   669
      ListDigraph *digraph;
deba@57
   670
deba@57
   671
      NodeObserverProxy node_observer_proxy;
deba@57
   672
      ArcObserverProxy arc_observer_proxy;
deba@57
   673
deba@57
   674
      std::list<Node> added_nodes;
deba@57
   675
      std::list<Arc> added_arcs;
deba@57
   676
deba@57
   677
deba@57
   678
      void addNode(const Node& node) {
alpar@209
   679
        added_nodes.push_front(node);
deba@57
   680
      }
deba@57
   681
      void eraseNode(const Node& node) {
alpar@209
   682
        std::list<Node>::iterator it =
deba@57
   683
          std::find(added_nodes.begin(), added_nodes.end(), node);
deba@57
   684
        if (it == added_nodes.end()) {
deba@57
   685
          clear();
deba@57
   686
          arc_observer_proxy.detach();
deba@57
   687
          throw NodeNotifier::ImmediateDetach();
deba@57
   688
        } else {
deba@57
   689
          added_nodes.erase(it);
deba@57
   690
        }
deba@57
   691
      }
deba@57
   692
deba@57
   693
      void addArc(const Arc& arc) {
alpar@209
   694
        added_arcs.push_front(arc);
deba@57
   695
      }
deba@57
   696
      void eraseArc(const Arc& arc) {
alpar@209
   697
        std::list<Arc>::iterator it =
deba@57
   698
          std::find(added_arcs.begin(), added_arcs.end(), arc);
deba@57
   699
        if (it == added_arcs.end()) {
deba@57
   700
          clear();
alpar@209
   701
          node_observer_proxy.detach();
deba@57
   702
          throw ArcNotifier::ImmediateDetach();
deba@57
   703
        } else {
deba@57
   704
          added_arcs.erase(it);
alpar@209
   705
        }
deba@57
   706
      }
deba@57
   707
deba@57
   708
      void attach(ListDigraph &_digraph) {
alpar@209
   709
        digraph = &_digraph;
alpar@209
   710
        node_observer_proxy.attach(digraph->notifier(Node()));
deba@57
   711
        arc_observer_proxy.attach(digraph->notifier(Arc()));
deba@57
   712
      }
alpar@209
   713
deba@57
   714
      void detach() {
alpar@209
   715
        node_observer_proxy.detach();
alpar@209
   716
        arc_observer_proxy.detach();
deba@57
   717
      }
deba@57
   718
deba@57
   719
      bool attached() const {
deba@57
   720
        return node_observer_proxy.attached();
deba@57
   721
      }
deba@57
   722
deba@57
   723
      void clear() {
deba@57
   724
        added_nodes.clear();
alpar@209
   725
        added_arcs.clear();
deba@57
   726
      }
deba@57
   727
deba@57
   728
    public:
deba@57
   729
deba@57
   730
      /// \brief Default constructor.
deba@57
   731
      ///
deba@57
   732
      /// Default constructor.
kpeter@735
   733
      /// You have to call save() to actually make a snapshot.
alpar@209
   734
      Snapshot()
alpar@209
   735
        : digraph(0), node_observer_proxy(*this),
deba@57
   736
          arc_observer_proxy(*this) {}
alpar@209
   737
deba@57
   738
      /// \brief Constructor that immediately makes a snapshot.
alpar@209
   739
      ///
kpeter@735
   740
      /// This constructor immediately makes a snapshot of the given digraph.
kpeter@735
   741
      Snapshot(ListDigraph &gr)
alpar@209
   742
        : node_observer_proxy(*this),
deba@57
   743
          arc_observer_proxy(*this) {
kpeter@735
   744
        attach(gr);
deba@57
   745
      }
alpar@209
   746
deba@57
   747
      /// \brief Make a snapshot.
deba@57
   748
      ///
kpeter@735
   749
      /// This function makes a snapshot of the given digraph.
kpeter@735
   750
      /// It can be called more than once. In case of a repeated
deba@57
   751
      /// call, the previous snapshot gets lost.
kpeter@735
   752
      void save(ListDigraph &gr) {
deba@57
   753
        if (attached()) {
deba@57
   754
          detach();
deba@57
   755
          clear();
deba@57
   756
        }
kpeter@735
   757
        attach(gr);
deba@57
   758
      }
alpar@209
   759
deba@57
   760
      /// \brief Undo the changes until the last snapshot.
kpeter@735
   761
      ///
kpeter@735
   762
      /// This function undos the changes until the last snapshot
kpeter@735
   763
      /// created by save() or Snapshot(ListDigraph&).
kpeter@740
   764
      ///
kpeter@740
   765
      /// \warning This method invalidates the snapshot, i.e. repeated
kpeter@740
   766
      /// restoring is not supported unless you call save() again.
deba@57
   767
      void restore() {
alpar@209
   768
        detach();
alpar@209
   769
        for(std::list<Arc>::iterator it = added_arcs.begin();
deba@57
   770
            it != added_arcs.end(); ++it) {
alpar@209
   771
          digraph->erase(*it);
alpar@209
   772
        }
alpar@209
   773
        for(std::list<Node>::iterator it = added_nodes.begin();
deba@57
   774
            it != added_nodes.end(); ++it) {
alpar@209
   775
          digraph->erase(*it);
alpar@209
   776
        }
deba@57
   777
        clear();
deba@57
   778
      }
deba@57
   779
kpeter@735
   780
      /// \brief Returns \c true if the snapshot is valid.
deba@57
   781
      ///
kpeter@735
   782
      /// This function returns \c true if the snapshot is valid.
deba@57
   783
      bool valid() const {
deba@57
   784
        return attached();
deba@57
   785
      }
deba@57
   786
    };
alpar@209
   787
deba@57
   788
  };
deba@57
   789
deba@57
   790
  ///@}
deba@57
   791
deba@57
   792
  class ListGraphBase {
deba@57
   793
deba@57
   794
  protected:
deba@57
   795
deba@57
   796
    struct NodeT {
deba@57
   797
      int first_out;
deba@57
   798
      int prev, next;
deba@57
   799
    };
alpar@209
   800
deba@57
   801
    struct ArcT {
deba@57
   802
      int target;
deba@57
   803
      int prev_out, next_out;
deba@57
   804
    };
deba@57
   805
deba@57
   806
    std::vector<NodeT> nodes;
deba@57
   807
deba@57
   808
    int first_node;
deba@57
   809
deba@57
   810
    int first_free_node;
deba@57
   811
deba@57
   812
    std::vector<ArcT> arcs;
deba@57
   813
deba@57
   814
    int first_free_arc;
alpar@209
   815
deba@57
   816
  public:
alpar@209
   817
kpeter@617
   818
    typedef ListGraphBase Graph;
deba@57
   819
deba@57
   820
    class Node {
deba@57
   821
      friend class ListGraphBase;
deba@57
   822
    protected:
deba@57
   823
deba@57
   824
      int id;
deba@57
   825
      explicit Node(int pid) { id = pid;}
deba@57
   826
deba@57
   827
    public:
deba@57
   828
      Node() {}
deba@57
   829
      Node (Invalid) { id = -1; }
deba@57
   830
      bool operator==(const Node& node) const {return id == node.id;}
deba@57
   831
      bool operator!=(const Node& node) const {return id != node.id;}
deba@57
   832
      bool operator<(const Node& node) const {return id < node.id;}
deba@57
   833
    };
deba@57
   834
deba@57
   835
    class Edge {
deba@57
   836
      friend class ListGraphBase;
deba@57
   837
    protected:
deba@57
   838
deba@57
   839
      int id;
deba@57
   840
      explicit Edge(int pid) { id = pid;}
deba@57
   841
deba@57
   842
    public:
deba@57
   843
      Edge() {}
deba@57
   844
      Edge (Invalid) { id = -1; }
kpeter@73
   845
      bool operator==(const Edge& edge) const {return id == edge.id;}
kpeter@73
   846
      bool operator!=(const Edge& edge) const {return id != edge.id;}
kpeter@73
   847
      bool operator<(const Edge& edge) const {return id < edge.id;}
deba@57
   848
    };
deba@57
   849
deba@57
   850
    class Arc {
deba@57
   851
      friend class ListGraphBase;
deba@57
   852
    protected:
deba@57
   853
deba@57
   854
      int id;
deba@57
   855
      explicit Arc(int pid) { id = pid;}
deba@57
   856
deba@57
   857
    public:
kpeter@329
   858
      operator Edge() const {
kpeter@329
   859
        return id != -1 ? edgeFromId(id / 2) : INVALID;
deba@238
   860
      }
deba@57
   861
deba@57
   862
      Arc() {}
deba@57
   863
      Arc (Invalid) { id = -1; }
deba@57
   864
      bool operator==(const Arc& arc) const {return id == arc.id;}
deba@57
   865
      bool operator!=(const Arc& arc) const {return id != arc.id;}
deba@57
   866
      bool operator<(const Arc& arc) const {return id < arc.id;}
deba@57
   867
    };
deba@57
   868
deba@57
   869
    ListGraphBase()
deba@57
   870
      : nodes(), first_node(-1),
alpar@209
   871
        first_free_node(-1), arcs(), first_free_arc(-1) {}
deba@57
   872
alpar@209
   873
alpar@209
   874
    int maxNodeId() const { return nodes.size()-1; }
deba@57
   875
    int maxEdgeId() const { return arcs.size() / 2 - 1; }
deba@57
   876
    int maxArcId() const { return arcs.size()-1; }
deba@57
   877
deba@57
   878
    Node source(Arc e) const { return Node(arcs[e.id ^ 1].target); }
deba@57
   879
    Node target(Arc e) const { return Node(arcs[e.id].target); }
deba@57
   880
deba@57
   881
    Node u(Edge e) const { return Node(arcs[2 * e.id].target); }
deba@57
   882
    Node v(Edge e) const { return Node(arcs[2 * e.id + 1].target); }
deba@57
   883
deba@57
   884
    static bool direction(Arc e) {
deba@57
   885
      return (e.id & 1) == 1;
deba@57
   886
    }
deba@57
   887
deba@57
   888
    static Arc direct(Edge e, bool d) {
deba@57
   889
      return Arc(e.id * 2 + (d ? 1 : 0));
deba@57
   890
    }
deba@57
   891
alpar@209
   892
    void first(Node& node) const {
deba@57
   893
      node.id = first_node;
deba@57
   894
    }
deba@57
   895
deba@57
   896
    void next(Node& node) const {
deba@57
   897
      node.id = nodes[node.id].next;
deba@57
   898
    }
deba@57
   899
alpar@209
   900
    void first(Arc& e) const {
deba@57
   901
      int n = first_node;
deba@57
   902
      while (n != -1 && nodes[n].first_out == -1) {
deba@57
   903
        n = nodes[n].next;
deba@57
   904
      }
deba@57
   905
      e.id = (n == -1) ? -1 : nodes[n].first_out;
deba@57
   906
    }
deba@57
   907
deba@57
   908
    void next(Arc& e) const {
deba@57
   909
      if (arcs[e.id].next_out != -1) {
alpar@209
   910
        e.id = arcs[e.id].next_out;
deba@57
   911
      } else {
alpar@209
   912
        int n = nodes[arcs[e.id ^ 1].target].next;
deba@57
   913
        while(n != -1 && nodes[n].first_out == -1) {
deba@57
   914
          n = nodes[n].next;
deba@57
   915
        }
alpar@209
   916
        e.id = (n == -1) ? -1 : nodes[n].first_out;
alpar@209
   917
      }
deba@57
   918
    }
deba@57
   919
alpar@209
   920
    void first(Edge& e) const {
deba@57
   921
      int n = first_node;
deba@57
   922
      while (n != -1) {
deba@57
   923
        e.id = nodes[n].first_out;
deba@57
   924
        while ((e.id & 1) != 1) {
deba@57
   925
          e.id = arcs[e.id].next_out;
deba@57
   926
        }
deba@57
   927
        if (e.id != -1) {
deba@57
   928
          e.id /= 2;
deba@57
   929
          return;
alpar@209
   930
        }
deba@57
   931
        n = nodes[n].next;
deba@57
   932
      }
deba@57
   933
      e.id = -1;
deba@57
   934
    }
deba@57
   935
deba@57
   936
    void next(Edge& e) const {
deba@57
   937
      int n = arcs[e.id * 2].target;
deba@57
   938
      e.id = arcs[(e.id * 2) | 1].next_out;
deba@57
   939
      while ((e.id & 1) != 1) {
deba@57
   940
        e.id = arcs[e.id].next_out;
deba@57
   941
      }
deba@57
   942
      if (e.id != -1) {
deba@57
   943
        e.id /= 2;
deba@57
   944
        return;
alpar@209
   945
      }
deba@57
   946
      n = nodes[n].next;
deba@57
   947
      while (n != -1) {
deba@57
   948
        e.id = nodes[n].first_out;
deba@57
   949
        while ((e.id & 1) != 1) {
deba@57
   950
          e.id = arcs[e.id].next_out;
deba@57
   951
        }
deba@57
   952
        if (e.id != -1) {
deba@57
   953
          e.id /= 2;
deba@57
   954
          return;
alpar@209
   955
        }
deba@57
   956
        n = nodes[n].next;
deba@57
   957
      }
deba@57
   958
      e.id = -1;
deba@57
   959
    }
deba@57
   960
deba@57
   961
    void firstOut(Arc &e, const Node& v) const {
deba@57
   962
      e.id = nodes[v.id].first_out;
deba@57
   963
    }
deba@57
   964
    void nextOut(Arc &e) const {
deba@57
   965
      e.id = arcs[e.id].next_out;
deba@57
   966
    }
deba@57
   967
deba@57
   968
    void firstIn(Arc &e, const Node& v) const {
deba@57
   969
      e.id = ((nodes[v.id].first_out) ^ 1);
deba@57
   970
      if (e.id == -2) e.id = -1;
deba@57
   971
    }
deba@57
   972
    void nextIn(Arc &e) const {
deba@57
   973
      e.id = ((arcs[e.id ^ 1].next_out) ^ 1);
deba@57
   974
      if (e.id == -2) e.id = -1;
deba@57
   975
    }
deba@57
   976
deba@57
   977
    void firstInc(Edge &e, bool& d, const Node& v) const {
kpeter@73
   978
      int a = nodes[v.id].first_out;
kpeter@73
   979
      if (a != -1 ) {
kpeter@73
   980
        e.id = a / 2;
kpeter@73
   981
        d = ((a & 1) == 1);
deba@57
   982
      } else {
deba@57
   983
        e.id = -1;
deba@57
   984
        d = true;
deba@57
   985
      }
deba@57
   986
    }
deba@57
   987
    void nextInc(Edge &e, bool& d) const {
kpeter@73
   988
      int a = (arcs[(e.id * 2) | (d ? 1 : 0)].next_out);
kpeter@73
   989
      if (a != -1 ) {
kpeter@73
   990
        e.id = a / 2;
kpeter@73
   991
        d = ((a & 1) == 1);
deba@57
   992
      } else {
deba@57
   993
        e.id = -1;
deba@57
   994
        d = true;
deba@57
   995
      }
deba@57
   996
    }
alpar@209
   997
deba@57
   998
    static int id(Node v) { return v.id; }
deba@57
   999
    static int id(Arc e) { return e.id; }
deba@57
  1000
    static int id(Edge e) { return e.id; }
deba@57
  1001
deba@57
  1002
    static Node nodeFromId(int id) { return Node(id);}
deba@57
  1003
    static Arc arcFromId(int id) { return Arc(id);}
deba@57
  1004
    static Edge edgeFromId(int id) { return Edge(id);}
deba@57
  1005
alpar@209
  1006
    bool valid(Node n) const {
alpar@209
  1007
      return n.id >= 0 && n.id < static_cast<int>(nodes.size()) &&
alpar@209
  1008
        nodes[n.id].prev != -2;
deba@149
  1009
    }
deba@149
  1010
alpar@209
  1011
    bool valid(Arc a) const {
alpar@209
  1012
      return a.id >= 0 && a.id < static_cast<int>(arcs.size()) &&
alpar@209
  1013
        arcs[a.id].prev_out != -2;
deba@149
  1014
    }
deba@149
  1015
alpar@209
  1016
    bool valid(Edge e) const {
alpar@209
  1017
      return e.id >= 0 && 2 * e.id < static_cast<int>(arcs.size()) &&
alpar@209
  1018
        arcs[2 * e.id].prev_out != -2;
deba@149
  1019
    }
deba@149
  1020
alpar@209
  1021
    Node addNode() {
deba@57
  1022
      int n;
alpar@209
  1023
deba@57
  1024
      if(first_free_node==-1) {
alpar@209
  1025
        n = nodes.size();
alpar@209
  1026
        nodes.push_back(NodeT());
deba@57
  1027
      } else {
alpar@209
  1028
        n = first_free_node;
alpar@209
  1029
        first_free_node = nodes[n].next;
deba@57
  1030
      }
alpar@209
  1031
deba@57
  1032
      nodes[n].next = first_node;
deba@57
  1033
      if (first_node != -1) nodes[first_node].prev = n;
deba@57
  1034
      first_node = n;
deba@57
  1035
      nodes[n].prev = -1;
alpar@209
  1036
deba@57
  1037
      nodes[n].first_out = -1;
alpar@209
  1038
deba@57
  1039
      return Node(n);
deba@57
  1040
    }
alpar@209
  1041
deba@57
  1042
    Edge addEdge(Node u, Node v) {
alpar@209
  1043
      int n;
deba@57
  1044
deba@57
  1045
      if (first_free_arc == -1) {
alpar@209
  1046
        n = arcs.size();
alpar@209
  1047
        arcs.push_back(ArcT());
alpar@209
  1048
        arcs.push_back(ArcT());
deba@57
  1049
      } else {
alpar@209
  1050
        n = first_free_arc;
alpar@209
  1051
        first_free_arc = arcs[n].next_out;
deba@57
  1052
      }
alpar@209
  1053
deba@57
  1054
      arcs[n].target = u.id;
deba@57
  1055
      arcs[n | 1].target = v.id;
deba@57
  1056
deba@57
  1057
      arcs[n].next_out = nodes[v.id].first_out;
deba@57
  1058
      if (nodes[v.id].first_out != -1) {
alpar@209
  1059
        arcs[nodes[v.id].first_out].prev_out = n;
alpar@209
  1060
      }
deba@57
  1061
      arcs[n].prev_out = -1;
deba@57
  1062
      nodes[v.id].first_out = n;
alpar@209
  1063
deba@57
  1064
      arcs[n | 1].next_out = nodes[u.id].first_out;
deba@57
  1065
      if (nodes[u.id].first_out != -1) {
alpar@209
  1066
        arcs[nodes[u.id].first_out].prev_out = (n | 1);
deba@57
  1067
      }
alpar@209
  1068
      arcs[n | 1].prev_out = -1;
deba@57
  1069
      nodes[u.id].first_out = (n | 1);
deba@57
  1070
deba@57
  1071
      return Edge(n / 2);
deba@57
  1072
    }
alpar@209
  1073
deba@57
  1074
    void erase(const Node& node) {
deba@57
  1075
      int n = node.id;
alpar@209
  1076
deba@57
  1077
      if(nodes[n].next != -1) {
alpar@209
  1078
        nodes[nodes[n].next].prev = nodes[n].prev;
deba@57
  1079
      }
alpar@209
  1080
deba@57
  1081
      if(nodes[n].prev != -1) {
alpar@209
  1082
        nodes[nodes[n].prev].next = nodes[n].next;
deba@57
  1083
      } else {
alpar@209
  1084
        first_node = nodes[n].next;
deba@57
  1085
      }
alpar@209
  1086
deba@57
  1087
      nodes[n].next = first_free_node;
deba@57
  1088
      first_free_node = n;
deba@149
  1089
      nodes[n].prev = -2;
deba@57
  1090
    }
alpar@209
  1091
kpeter@73
  1092
    void erase(const Edge& edge) {
kpeter@73
  1093
      int n = edge.id * 2;
alpar@209
  1094
deba@57
  1095
      if (arcs[n].next_out != -1) {
alpar@209
  1096
        arcs[arcs[n].next_out].prev_out = arcs[n].prev_out;
alpar@209
  1097
      }
deba@57
  1098
deba@57
  1099
      if (arcs[n].prev_out != -1) {
alpar@209
  1100
        arcs[arcs[n].prev_out].next_out = arcs[n].next_out;
deba@57
  1101
      } else {
alpar@209
  1102
        nodes[arcs[n | 1].target].first_out = arcs[n].next_out;
deba@57
  1103
      }
deba@57
  1104
deba@57
  1105
      if (arcs[n | 1].next_out != -1) {
alpar@209
  1106
        arcs[arcs[n | 1].next_out].prev_out = arcs[n | 1].prev_out;
alpar@209
  1107
      }
deba@57
  1108
deba@57
  1109
      if (arcs[n | 1].prev_out != -1) {
alpar@209
  1110
        arcs[arcs[n | 1].prev_out].next_out = arcs[n | 1].next_out;
deba@57
  1111
      } else {
alpar@209
  1112
        nodes[arcs[n].target].first_out = arcs[n | 1].next_out;
deba@57
  1113
      }
alpar@209
  1114
deba@57
  1115
      arcs[n].next_out = first_free_arc;
alpar@209
  1116
      first_free_arc = n;
deba@149
  1117
      arcs[n].prev_out = -2;
deba@149
  1118
      arcs[n | 1].prev_out = -2;
deba@57
  1119
deba@57
  1120
    }
deba@57
  1121
deba@57
  1122
    void clear() {
deba@57
  1123
      arcs.clear();
deba@57
  1124
      nodes.clear();
deba@57
  1125
      first_node = first_free_node = first_free_arc = -1;
deba@57
  1126
    }
deba@57
  1127
deba@57
  1128
  protected:
deba@57
  1129
deba@235
  1130
    void changeV(Edge e, Node n) {
deba@57
  1131
      if(arcs[2 * e.id].next_out != -1) {
alpar@209
  1132
        arcs[arcs[2 * e.id].next_out].prev_out = arcs[2 * e.id].prev_out;
deba@57
  1133
      }
deba@57
  1134
      if(arcs[2 * e.id].prev_out != -1) {
alpar@209
  1135
        arcs[arcs[2 * e.id].prev_out].next_out =
deba@57
  1136
          arcs[2 * e.id].next_out;
deba@57
  1137
      } else {
alpar@209
  1138
        nodes[arcs[(2 * e.id) | 1].target].first_out =
deba@57
  1139
          arcs[2 * e.id].next_out;
deba@57
  1140
      }
deba@57
  1141
deba@57
  1142
      if (nodes[n.id].first_out != -1) {
alpar@209
  1143
        arcs[nodes[n.id].first_out].prev_out = 2 * e.id;
deba@57
  1144
      }
deba@57
  1145
      arcs[(2 * e.id) | 1].target = n.id;
deba@57
  1146
      arcs[2 * e.id].prev_out = -1;
deba@57
  1147
      arcs[2 * e.id].next_out = nodes[n.id].first_out;
deba@57
  1148
      nodes[n.id].first_out = 2 * e.id;
deba@57
  1149
    }
deba@57
  1150
deba@235
  1151
    void changeU(Edge e, Node n) {
deba@57
  1152
      if(arcs[(2 * e.id) | 1].next_out != -1) {
alpar@209
  1153
        arcs[arcs[(2 * e.id) | 1].next_out].prev_out =
deba@57
  1154
          arcs[(2 * e.id) | 1].prev_out;
deba@57
  1155
      }
deba@57
  1156
      if(arcs[(2 * e.id) | 1].prev_out != -1) {
alpar@209
  1157
        arcs[arcs[(2 * e.id) | 1].prev_out].next_out =
deba@57
  1158
          arcs[(2 * e.id) | 1].next_out;
deba@57
  1159
      } else {
alpar@209
  1160
        nodes[arcs[2 * e.id].target].first_out =
deba@57
  1161
          arcs[(2 * e.id) | 1].next_out;
deba@57
  1162
      }
deba@57
  1163
deba@57
  1164
      if (nodes[n.id].first_out != -1) {
alpar@209
  1165
        arcs[nodes[n.id].first_out].prev_out = ((2 * e.id) | 1);
deba@57
  1166
      }
deba@57
  1167
      arcs[2 * e.id].target = n.id;
deba@57
  1168
      arcs[(2 * e.id) | 1].prev_out = -1;
deba@57
  1169
      arcs[(2 * e.id) | 1].next_out = nodes[n.id].first_out;
deba@57
  1170
      nodes[n.id].first_out = ((2 * e.id) | 1);
deba@57
  1171
    }
deba@57
  1172
deba@57
  1173
  };
deba@57
  1174
deba@57
  1175
  typedef GraphExtender<ListGraphBase> ExtendedListGraphBase;
deba@57
  1176
deba@57
  1177
kpeter@73
  1178
  /// \addtogroup graphs
deba@57
  1179
  /// @{
deba@57
  1180
kpeter@73
  1181
  ///A general undirected graph structure.
deba@57
  1182
kpeter@735
  1183
  ///\ref ListGraph is a versatile and fast undirected graph
kpeter@735
  1184
  ///implementation based on linked lists that are stored in
alpar@209
  1185
  ///\c std::vector structures.
deba@57
  1186
  ///
kpeter@735
  1187
  ///This type fully conforms to the \ref concepts::Graph "Graph concept"
kpeter@735
  1188
  ///and it also provides several useful additional functionalities.
kpeter@735
  1189
  ///Most of its member functions and nested classes are documented
kpeter@73
  1190
  ///only in the concept class.
kpeter@73
  1191
  ///
kpeter@787
  1192
  ///This class provides only linear time counting for nodes, edges and arcs.
kpeter@787
  1193
  ///
kpeter@73
  1194
  ///\sa concepts::Graph
kpeter@735
  1195
  ///\sa ListDigraph
deba@57
  1196
  class ListGraph : public ExtendedListGraphBase {
kpeter@617
  1197
    typedef ExtendedListGraphBase Parent;
kpeter@617
  1198
deba@57
  1199
  private:
kpeter@735
  1200
    /// Graphs are \e not copy constructible. Use GraphCopy instead.
deba@57
  1201
    ListGraph(const ListGraph &) :ExtendedListGraphBase()  {};
kpeter@735
  1202
    /// \brief Assignment of a graph to another one is \e not allowed.
kpeter@735
  1203
    /// Use GraphCopy instead.
deba@57
  1204
    void operator=(const ListGraph &) {}
deba@57
  1205
  public:
deba@57
  1206
    /// Constructor
alpar@209
  1207
deba@57
  1208
    /// Constructor.
deba@57
  1209
    ///
deba@57
  1210
    ListGraph() {}
deba@57
  1211
kpeter@73
  1212
    typedef Parent::OutArcIt IncEdgeIt;
deba@57
  1213
kpeter@73
  1214
    /// \brief Add a new node to the graph.
deba@57
  1215
    ///
kpeter@735
  1216
    /// This function adds a new node to the graph.
kpeter@559
  1217
    /// \return The new node.
deba@57
  1218
    Node addNode() { return Parent::addNode(); }
deba@57
  1219
kpeter@73
  1220
    /// \brief Add a new edge to the graph.
deba@57
  1221
    ///
kpeter@735
  1222
    /// This function adds a new edge to the graph between nodes
kpeter@735
  1223
    /// \c u and \c v with inherent orientation from node \c u to
kpeter@735
  1224
    /// node \c v.
kpeter@559
  1225
    /// \return The new edge.
kpeter@735
  1226
    Edge addEdge(Node u, Node v) {
kpeter@735
  1227
      return Parent::addEdge(u, v);
deba@57
  1228
    }
deba@234
  1229
kpeter@735
  1230
    ///\brief Erase a node from the graph.
deba@234
  1231
    ///
kpeter@787
  1232
    /// This function erases the given node along with its incident arcs
kpeter@787
  1233
    /// from the graph.
kpeter@787
  1234
    ///
kpeter@787
  1235
    /// \note All iterators referencing the removed node or the incident
kpeter@787
  1236
    /// edges are invalidated, of course.
kpeter@735
  1237
    void erase(Node n) { Parent::erase(n); }
kpeter@735
  1238
kpeter@735
  1239
    ///\brief Erase an edge from the graph.
deba@234
  1240
    ///
kpeter@735
  1241
    /// This function erases the given edge from the graph.
kpeter@787
  1242
    ///
kpeter@787
  1243
    /// \note All iterators referencing the removed edge are invalidated,
kpeter@787
  1244
    /// of course.
kpeter@735
  1245
    void erase(Edge e) { Parent::erase(e); }
deba@149
  1246
    /// Node validity check
deba@149
  1247
kpeter@735
  1248
    /// This function gives back \c true if the given node is valid,
kpeter@735
  1249
    /// i.e. it is a real node of the graph.
deba@149
  1250
    ///
kpeter@735
  1251
    /// \warning A removed node could become valid again if new nodes are
deba@149
  1252
    /// added to the graph.
deba@149
  1253
    bool valid(Node n) const { return Parent::valid(n); }
kpeter@735
  1254
    /// Edge validity check
kpeter@735
  1255
kpeter@735
  1256
    /// This function gives back \c true if the given edge is valid,
kpeter@735
  1257
    /// i.e. it is a real edge of the graph.
kpeter@735
  1258
    ///
kpeter@735
  1259
    /// \warning A removed edge could become valid again if new edges are
kpeter@735
  1260
    /// added to the graph.
kpeter@735
  1261
    bool valid(Edge e) const { return Parent::valid(e); }
deba@149
  1262
    /// Arc validity check
deba@149
  1263
kpeter@735
  1264
    /// This function gives back \c true if the given arc is valid,
kpeter@735
  1265
    /// i.e. it is a real arc of the graph.
deba@149
  1266
    ///
kpeter@735
  1267
    /// \warning A removed arc could become valid again if new edges are
deba@149
  1268
    /// added to the graph.
deba@149
  1269
    bool valid(Arc a) const { return Parent::valid(a); }
deba@149
  1270
kpeter@735
  1271
    /// \brief Change the first node of an edge.
deba@149
  1272
    ///
kpeter@735
  1273
    /// This function changes the first node of the given edge \c e to \c n.
deba@57
  1274
    ///
kpeter@735
  1275
    ///\note \c EdgeIt and \c ArcIt iterators referencing the
kpeter@735
  1276
    ///changed edge are invalidated and all other iterators whose
kpeter@735
  1277
    ///base node is the changed node are also invalidated.
kpeter@73
  1278
    ///
kpeter@73
  1279
    ///\warning This functionality cannot be used together with the
kpeter@73
  1280
    ///Snapshot feature.
deba@235
  1281
    void changeU(Edge e, Node n) {
deba@235
  1282
      Parent::changeU(e,n);
alpar@209
  1283
    }
kpeter@735
  1284
    /// \brief Change the second node of an edge.
deba@57
  1285
    ///
kpeter@735
  1286
    /// This function changes the second node of the given edge \c e to \c n.
deba@57
  1287
    ///
kpeter@735
  1288
    ///\note \c EdgeIt iterators referencing the changed edge remain
kpeter@786
  1289
    ///valid, but \c ArcIt iterators referencing the changed edge and
kpeter@735
  1290
    ///all other iterators whose base node is the changed node are also
kpeter@735
  1291
    ///invalidated.
kpeter@73
  1292
    ///
kpeter@73
  1293
    ///\warning This functionality cannot be used together with the
kpeter@73
  1294
    ///Snapshot feature.
deba@235
  1295
    void changeV(Edge e, Node n) {
deba@235
  1296
      Parent::changeV(e,n);
deba@57
  1297
    }
kpeter@735
  1298
deba@57
  1299
    /// \brief Contract two nodes.
deba@57
  1300
    ///
kpeter@735
  1301
    /// This function contracts the given two nodes.
kpeter@735
  1302
    /// Node \c b is removed, but instead of deleting
kpeter@735
  1303
    /// its incident edges, they are joined to node \c a.
kpeter@735
  1304
    /// If the last parameter \c r is \c true (this is the default value),
kpeter@735
  1305
    /// then the newly created loops are removed.
deba@57
  1306
    ///
kpeter@735
  1307
    /// \note The moved edges are joined to node \c a using changeU()
kpeter@735
  1308
    /// or changeV(), thus all edge and arc iterators whose base node is
kpeter@735
  1309
    /// \c b are invalidated.
kpeter@735
  1310
    /// Moreover all iterators referencing node \c b or the removed 
kpeter@735
  1311
    /// loops are also invalidated. Other iterators remain valid.
kpeter@73
  1312
    ///
kpeter@73
  1313
    ///\warning This functionality cannot be used together with the
kpeter@73
  1314
    ///Snapshot feature.
deba@57
  1315
    void contract(Node a, Node b, bool r = true) {
kpeter@73
  1316
      for(IncEdgeIt e(*this, b); e!=INVALID;) {
alpar@209
  1317
        IncEdgeIt f = e; ++f;
alpar@209
  1318
        if (r && runningNode(e) == a) {
alpar@209
  1319
          erase(e);
deba@235
  1320
        } else if (u(e) == b) {
deba@235
  1321
          changeU(e, a);
alpar@209
  1322
        } else {
deba@235
  1323
          changeV(e, a);
alpar@209
  1324
        }
alpar@209
  1325
        e = f;
deba@57
  1326
      }
deba@57
  1327
      erase(b);
deba@57
  1328
    }
deba@57
  1329
kpeter@735
  1330
    ///Clear the graph.
kpeter@735
  1331
kpeter@735
  1332
    ///This function erases all nodes and arcs from the graph.
kpeter@735
  1333
    ///
kpeter@787
  1334
    ///\note All iterators of the graph are invalidated, of course.
kpeter@735
  1335
    void clear() {
kpeter@735
  1336
      Parent::clear();
kpeter@735
  1337
    }
kpeter@617
  1338
kpeter@736
  1339
    /// Reserve memory for nodes.
kpeter@736
  1340
kpeter@736
  1341
    /// Using this function, it is possible to avoid superfluous memory
kpeter@736
  1342
    /// allocation: if you know that the graph you want to build will
kpeter@736
  1343
    /// be large (e.g. it will contain millions of nodes and/or edges),
kpeter@736
  1344
    /// then it is worth reserving space for this amount before starting
kpeter@736
  1345
    /// to build the graph.
kpeter@736
  1346
    /// \sa reserveEdge()
kpeter@736
  1347
    void reserveNode(int n) { nodes.reserve(n); };
kpeter@736
  1348
kpeter@736
  1349
    /// Reserve memory for edges.
kpeter@736
  1350
kpeter@736
  1351
    /// Using this function, it is possible to avoid superfluous memory
kpeter@736
  1352
    /// allocation: if you know that the graph you want to build will
kpeter@736
  1353
    /// be large (e.g. it will contain millions of nodes and/or edges),
kpeter@736
  1354
    /// then it is worth reserving space for this amount before starting
kpeter@736
  1355
    /// to build the graph.
kpeter@736
  1356
    /// \sa reserveNode()
kpeter@736
  1357
    void reserveEdge(int m) { arcs.reserve(2 * m); };
deba@57
  1358
kpeter@73
  1359
    /// \brief Class to make a snapshot of the graph and restore
kpeter@73
  1360
    /// it later.
deba@57
  1361
    ///
kpeter@73
  1362
    /// Class to make a snapshot of the graph and restore it later.
deba@57
  1363
    ///
deba@57
  1364
    /// The newly added nodes and edges can be removed
deba@57
  1365
    /// using the restore() function.
deba@57
  1366
    ///
kpeter@735
  1367
    /// \note After a state is restored, you cannot restore a later state, 
kpeter@735
  1368
    /// i.e. you cannot add the removed nodes and edges again using
kpeter@735
  1369
    /// another Snapshot instance.
kpeter@735
  1370
    ///
kpeter@735
  1371
    /// \warning Node and edge deletions and other modifications
kpeter@735
  1372
    /// (e.g. changing the end-nodes of edges or contracting nodes)
kpeter@735
  1373
    /// cannot be restored. These events invalidate the snapshot.
kpeter@786
  1374
    /// However, the edges and nodes that were added to the graph after
kpeter@735
  1375
    /// making the current snapshot can be removed without invalidating it.
deba@57
  1376
    class Snapshot {
deba@57
  1377
    protected:
deba@57
  1378
deba@57
  1379
      typedef Parent::NodeNotifier NodeNotifier;
deba@57
  1380
deba@57
  1381
      class NodeObserverProxy : public NodeNotifier::ObserverBase {
deba@57
  1382
      public:
deba@57
  1383
deba@57
  1384
        NodeObserverProxy(Snapshot& _snapshot)
deba@57
  1385
          : snapshot(_snapshot) {}
deba@57
  1386
deba@57
  1387
        using NodeNotifier::ObserverBase::attach;
deba@57
  1388
        using NodeNotifier::ObserverBase::detach;
deba@57
  1389
        using NodeNotifier::ObserverBase::attached;
alpar@209
  1390
deba@57
  1391
      protected:
alpar@209
  1392
deba@57
  1393
        virtual void add(const Node& node) {
deba@57
  1394
          snapshot.addNode(node);
deba@57
  1395
        }
deba@57
  1396
        virtual void add(const std::vector<Node>& nodes) {
deba@57
  1397
          for (int i = nodes.size() - 1; i >= 0; ++i) {
deba@57
  1398
            snapshot.addNode(nodes[i]);
deba@57
  1399
          }
deba@57
  1400
        }
deba@57
  1401
        virtual void erase(const Node& node) {
deba@57
  1402
          snapshot.eraseNode(node);
deba@57
  1403
        }
deba@57
  1404
        virtual void erase(const std::vector<Node>& nodes) {
deba@57
  1405
          for (int i = 0; i < int(nodes.size()); ++i) {
deba@57
  1406
            snapshot.eraseNode(nodes[i]);
deba@57
  1407
          }
deba@57
  1408
        }
deba@57
  1409
        virtual void build() {
deba@57
  1410
          Node node;
deba@57
  1411
          std::vector<Node> nodes;
alpar@209
  1412
          for (notifier()->first(node); node != INVALID;
deba@57
  1413
               notifier()->next(node)) {
deba@57
  1414
            nodes.push_back(node);
deba@57
  1415
          }
deba@57
  1416
          for (int i = nodes.size() - 1; i >= 0; --i) {
deba@57
  1417
            snapshot.addNode(nodes[i]);
deba@57
  1418
          }
deba@57
  1419
        }
deba@57
  1420
        virtual void clear() {
deba@57
  1421
          Node node;
alpar@209
  1422
          for (notifier()->first(node); node != INVALID;
deba@57
  1423
               notifier()->next(node)) {
deba@57
  1424
            snapshot.eraseNode(node);
deba@57
  1425
          }
deba@57
  1426
        }
deba@57
  1427
deba@57
  1428
        Snapshot& snapshot;
deba@57
  1429
      };
deba@57
  1430
deba@57
  1431
      class EdgeObserverProxy : public EdgeNotifier::ObserverBase {
deba@57
  1432
      public:
deba@57
  1433
deba@57
  1434
        EdgeObserverProxy(Snapshot& _snapshot)
deba@57
  1435
          : snapshot(_snapshot) {}
deba@57
  1436
deba@57
  1437
        using EdgeNotifier::ObserverBase::attach;
deba@57
  1438
        using EdgeNotifier::ObserverBase::detach;
deba@57
  1439
        using EdgeNotifier::ObserverBase::attached;
alpar@209
  1440
deba@57
  1441
      protected:
deba@57
  1442
kpeter@73
  1443
        virtual void add(const Edge& edge) {
kpeter@73
  1444
          snapshot.addEdge(edge);
deba@57
  1445
        }
kpeter@73
  1446
        virtual void add(const std::vector<Edge>& edges) {
kpeter@73
  1447
          for (int i = edges.size() - 1; i >= 0; ++i) {
kpeter@73
  1448
            snapshot.addEdge(edges[i]);
deba@57
  1449
          }
deba@57
  1450
        }
kpeter@73
  1451
        virtual void erase(const Edge& edge) {
kpeter@73
  1452
          snapshot.eraseEdge(edge);
deba@57
  1453
        }
kpeter@73
  1454
        virtual void erase(const std::vector<Edge>& edges) {
kpeter@73
  1455
          for (int i = 0; i < int(edges.size()); ++i) {
kpeter@73
  1456
            snapshot.eraseEdge(edges[i]);
deba@57
  1457
          }
deba@57
  1458
        }
deba@57
  1459
        virtual void build() {
kpeter@73
  1460
          Edge edge;
kpeter@73
  1461
          std::vector<Edge> edges;
alpar@209
  1462
          for (notifier()->first(edge); edge != INVALID;
kpeter@73
  1463
               notifier()->next(edge)) {
kpeter@73
  1464
            edges.push_back(edge);
deba@57
  1465
          }
kpeter@73
  1466
          for (int i = edges.size() - 1; i >= 0; --i) {
kpeter@73
  1467
            snapshot.addEdge(edges[i]);
deba@57
  1468
          }
deba@57
  1469
        }
deba@57
  1470
        virtual void clear() {
kpeter@73
  1471
          Edge edge;
alpar@209
  1472
          for (notifier()->first(edge); edge != INVALID;
kpeter@73
  1473
               notifier()->next(edge)) {
kpeter@73
  1474
            snapshot.eraseEdge(edge);
deba@57
  1475
          }
deba@57
  1476
        }
deba@57
  1477
deba@57
  1478
        Snapshot& snapshot;
deba@57
  1479
      };
kpeter@73
  1480
kpeter@73
  1481
      ListGraph *graph;
deba@57
  1482
deba@57
  1483
      NodeObserverProxy node_observer_proxy;
kpeter@73
  1484
      EdgeObserverProxy edge_observer_proxy;
deba@57
  1485
deba@57
  1486
      std::list<Node> added_nodes;
kpeter@73
  1487
      std::list<Edge> added_edges;
deba@57
  1488
deba@57
  1489
deba@57
  1490
      void addNode(const Node& node) {
alpar@209
  1491
        added_nodes.push_front(node);
deba@57
  1492
      }
deba@57
  1493
      void eraseNode(const Node& node) {
alpar@209
  1494
        std::list<Node>::iterator it =
deba@57
  1495
          std::find(added_nodes.begin(), added_nodes.end(), node);
deba@57
  1496
        if (it == added_nodes.end()) {
deba@57
  1497
          clear();
kpeter@73
  1498
          edge_observer_proxy.detach();
deba@57
  1499
          throw NodeNotifier::ImmediateDetach();
deba@57
  1500
        } else {
deba@57
  1501
          added_nodes.erase(it);
deba@57
  1502
        }
deba@57
  1503
      }
deba@57
  1504
kpeter@73
  1505
      void addEdge(const Edge& edge) {
alpar@209
  1506
        added_edges.push_front(edge);
deba@57
  1507
      }
kpeter@73
  1508
      void eraseEdge(const Edge& edge) {
alpar@209
  1509
        std::list<Edge>::iterator it =
kpeter@73
  1510
          std::find(added_edges.begin(), added_edges.end(), edge);
kpeter@73
  1511
        if (it == added_edges.end()) {
deba@57
  1512
          clear();
deba@57
  1513
          node_observer_proxy.detach();
deba@57
  1514
          throw EdgeNotifier::ImmediateDetach();
deba@57
  1515
        } else {
kpeter@73
  1516
          added_edges.erase(it);
kpeter@73
  1517
        }
deba@57
  1518
      }
deba@57
  1519
kpeter@73
  1520
      void attach(ListGraph &_graph) {
alpar@209
  1521
        graph = &_graph;
alpar@209
  1522
        node_observer_proxy.attach(graph->notifier(Node()));
kpeter@73
  1523
        edge_observer_proxy.attach(graph->notifier(Edge()));
deba@57
  1524
      }
alpar@209
  1525
deba@57
  1526
      void detach() {
alpar@209
  1527
        node_observer_proxy.detach();
alpar@209
  1528
        edge_observer_proxy.detach();
deba@57
  1529
      }
deba@57
  1530
deba@57
  1531
      bool attached() const {
deba@57
  1532
        return node_observer_proxy.attached();
deba@57
  1533
      }
deba@57
  1534
deba@57
  1535
      void clear() {
deba@57
  1536
        added_nodes.clear();
alpar@209
  1537
        added_edges.clear();
deba@57
  1538
      }
deba@57
  1539
deba@57
  1540
    public:
deba@57
  1541
deba@57
  1542
      /// \brief Default constructor.
deba@57
  1543
      ///
deba@57
  1544
      /// Default constructor.
kpeter@735
  1545
      /// You have to call save() to actually make a snapshot.
alpar@209
  1546
      Snapshot()
alpar@209
  1547
        : graph(0), node_observer_proxy(*this),
kpeter@73
  1548
          edge_observer_proxy(*this) {}
alpar@209
  1549
deba@57
  1550
      /// \brief Constructor that immediately makes a snapshot.
alpar@209
  1551
      ///
kpeter@735
  1552
      /// This constructor immediately makes a snapshot of the given graph.
kpeter@735
  1553
      Snapshot(ListGraph &gr)
alpar@209
  1554
        : node_observer_proxy(*this),
kpeter@73
  1555
          edge_observer_proxy(*this) {
kpeter@735
  1556
        attach(gr);
deba@57
  1557
      }
alpar@209
  1558
deba@57
  1559
      /// \brief Make a snapshot.
deba@57
  1560
      ///
kpeter@735
  1561
      /// This function makes a snapshot of the given graph.
kpeter@735
  1562
      /// It can be called more than once. In case of a repeated
deba@57
  1563
      /// call, the previous snapshot gets lost.
kpeter@735
  1564
      void save(ListGraph &gr) {
deba@57
  1565
        if (attached()) {
deba@57
  1566
          detach();
deba@57
  1567
          clear();
deba@57
  1568
        }
kpeter@735
  1569
        attach(gr);
deba@57
  1570
      }
alpar@209
  1571
deba@57
  1572
      /// \brief Undo the changes until the last snapshot.
kpeter@735
  1573
      ///
kpeter@735
  1574
      /// This function undos the changes until the last snapshot
kpeter@735
  1575
      /// created by save() or Snapshot(ListGraph&).
kpeter@740
  1576
      ///
kpeter@740
  1577
      /// \warning This method invalidates the snapshot, i.e. repeated
kpeter@740
  1578
      /// restoring is not supported unless you call save() again.
deba@57
  1579
      void restore() {
alpar@209
  1580
        detach();
alpar@209
  1581
        for(std::list<Edge>::iterator it = added_edges.begin();
kpeter@73
  1582
            it != added_edges.end(); ++it) {
alpar@209
  1583
          graph->erase(*it);
alpar@209
  1584
        }
alpar@209
  1585
        for(std::list<Node>::iterator it = added_nodes.begin();
deba@57
  1586
            it != added_nodes.end(); ++it) {
alpar@209
  1587
          graph->erase(*it);
alpar@209
  1588
        }
deba@57
  1589
        clear();
deba@57
  1590
      }
deba@57
  1591
kpeter@735
  1592
      /// \brief Returns \c true if the snapshot is valid.
deba@57
  1593
      ///
kpeter@735
  1594
      /// This function returns \c true if the snapshot is valid.
deba@57
  1595
      bool valid() const {
deba@57
  1596
        return attached();
deba@57
  1597
      }
deba@57
  1598
    };
deba@57
  1599
  };
alpar@209
  1600
alpar@209
  1601
  /// @}
deba@57
  1602
} //namespace lemon
alpar@209
  1603
deba@57
  1604
deba@57
  1605
#endif