1345 lines
36 KiB
C++
Executable File
1345 lines
36 KiB
C++
Executable File
/* -*- 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) 2003-2013
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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_SMART_GRAPH_H
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#define LEMON_SMART_GRAPH_H
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///\ingroup graphs
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///\file
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///\brief SmartDigraph and SmartGraph classes.
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#include <vector>
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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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namespace lemon {
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class SmartDigraph;
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class SmartDigraphBase {
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protected:
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struct NodeT
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{
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int first_in, first_out;
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NodeT() {}
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};
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struct ArcT
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{
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int target, source, next_in, next_out;
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ArcT() {}
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};
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std::vector<NodeT> nodes;
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std::vector<ArcT> arcs;
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public:
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typedef SmartDigraphBase Digraph;
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class Node;
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class Arc;
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public:
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SmartDigraphBase() : nodes(), arcs() { }
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SmartDigraphBase(const SmartDigraphBase &_g)
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: nodes(_g.nodes), arcs(_g.arcs) { }
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typedef True NodeNumTag;
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typedef True ArcNumTag;
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int nodeNum() const { return nodes.size(); }
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int arcNum() const { return arcs.size(); }
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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 addNode() {
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int n = nodes.size();
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nodes.push_back(NodeT());
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nodes[n].first_in = -1;
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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 = arcs.size();
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arcs.push_back(ArcT());
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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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arcs[n].next_in = nodes[v._id].first_in;
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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 clear() {
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arcs.clear();
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nodes.clear();
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}
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Node source(Arc a) const { return Node(arcs[a._id].source); }
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Node target(Arc a) const { return Node(arcs[a._id].target); }
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static int id(Node v) { return v._id; }
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static int id(Arc a) { return a._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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}
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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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}
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class Node {
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friend class SmartDigraphBase;
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friend class SmartDigraph;
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protected:
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int _id;
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explicit Node(int id) : _id(id) {}
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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 i) const {return _id == i._id;}
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bool operator!=(const Node i) const {return _id != i._id;}
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bool operator<(const Node i) const {return _id < i._id;}
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};
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class Arc {
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friend class SmartDigraphBase;
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friend class SmartDigraph;
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protected:
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int _id;
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explicit Arc(int id) : _id(id) {}
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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 i) const {return _id == i._id;}
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bool operator!=(const Arc i) const {return _id != i._id;}
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bool operator<(const Arc i) const {return _id < i._id;}
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};
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void first(Node& node) const {
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node._id = nodes.size() - 1;
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}
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static void next(Node& node) {
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--node._id;
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}
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void first(Arc& arc) const {
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arc._id = arcs.size() - 1;
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}
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static void next(Arc& arc) {
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--arc._id;
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}
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void firstOut(Arc& arc, const Node& node) const {
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arc._id = nodes[node._id].first_out;
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}
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void nextOut(Arc& arc) const {
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arc._id = arcs[arc._id].next_out;
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}
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void firstIn(Arc& arc, const Node& node) const {
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arc._id = nodes[node._id].first_in;
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}
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void nextIn(Arc& arc) const {
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arc._id = arcs[arc._id].next_in;
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}
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};
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typedef DigraphExtender<SmartDigraphBase> ExtendedSmartDigraphBase;
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///\ingroup graphs
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///
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///\brief A smart directed graph class.
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///
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///\ref SmartDigraph is a simple and fast digraph implementation.
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///It is also quite memory efficient but at the price
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///that it does not support node and arc deletion
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///(except for the Snapshot feature).
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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 some 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 constant time counting for nodes and arcs.
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///
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///\sa concepts::Digraph
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///\sa SmartGraph
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class SmartDigraph : public ExtendedSmartDigraphBase {
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typedef ExtendedSmartDigraphBase Parent;
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private:
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/// Digraphs are \e not copy constructible. Use DigraphCopy instead.
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SmartDigraph(const SmartDigraph &) : ExtendedSmartDigraphBase() {};
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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 SmartDigraph &) {}
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public:
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/// Constructor
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/// Constructor.
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///
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SmartDigraph() {};
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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 Node validity check
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///
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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 (using Snapshot) could become valid again
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/// if new nodes are added to the digraph.
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bool valid(Node n) const { return Parent::valid(n); }
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/// \brief Arc validity check
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///
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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 (using Snapshot) could become valid again
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/// if new arcs are added to the graph.
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bool valid(Arc a) const { return Parent::valid(a); }
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///Split a node.
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///This function splits the given node. First, a new node is added
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///to the digraph, then the source of each outgoing arc of node \c n
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///is moved to this new node.
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///If the second parameter \c connect is \c true (this is the default
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///value), then a new arc from node \c n to the newly created node
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///is also added.
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///\return The newly created node.
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///
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///\note All iterators remain valid.
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///
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///\warning This functionality cannot be used together with the Snapshot
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///feature.
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Node split(Node n, bool connect = true)
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{
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Node b = addNode();
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nodes[b._id].first_out=nodes[n._id].first_out;
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nodes[n._id].first_out=-1;
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for(int i=nodes[b._id].first_out; i!=-1; i=arcs[i].next_out) {
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arcs[i].source=b._id;
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}
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if(connect) addArc(n,b);
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return b;
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}
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///Clear the digraph.
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///This function erases all nodes and arcs from the digraph.
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///
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void clear() {
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Parent::clear();
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}
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/// Reserve memory for nodes.
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/// Using this function, it is possible to avoid superfluous memory
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/// allocation: if you know that the digraph you want to build will
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/// be large (e.g. it will contain millions of nodes and/or arcs),
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/// then it is worth reserving space for this amount before starting
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/// to build the digraph.
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/// \sa reserveArc()
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void reserveNode(int n) { nodes.reserve(n); };
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/// Reserve memory for arcs.
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/// Using this function, it is possible to avoid superfluous memory
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/// allocation: if you know that the digraph you want to build will
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/// be large (e.g. it will contain millions of nodes and/or arcs),
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/// then it is worth reserving space for this amount before starting
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/// to build the digraph.
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/// \sa reserveNode()
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void reserveArc(int m) { arcs.reserve(m); };
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public:
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class Snapshot;
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protected:
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void restoreSnapshot(const Snapshot &s)
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{
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while(s.arc_num<arcs.size()) {
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Arc arc = arcFromId(arcs.size()-1);
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Parent::notifier(Arc()).erase(arc);
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nodes[arcs.back().source].first_out=arcs.back().next_out;
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nodes[arcs.back().target].first_in=arcs.back().next_in;
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arcs.pop_back();
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}
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while(s.node_num<nodes.size()) {
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Node node = nodeFromId(nodes.size()-1);
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Parent::notifier(Node()).erase(node);
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nodes.pop_back();
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}
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}
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public:
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///Class to make a snapshot of the digraph and to restore it later.
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///Class to make a snapshot of the digraph and to restore it later.
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///
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///The newly added nodes and arcs can be removed using the
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///restore() function. This is the only way for deleting nodes and/or
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///arcs from a SmartDigraph structure.
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///
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///\note After a state is restored, you cannot restore a later state,
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///i.e. you cannot add the removed nodes and arcs again using
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///another Snapshot instance.
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///
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///\warning Node splitting cannot be restored.
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///\warning The validity of the snapshot is not stored due to
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///performance reasons. If you do not use the snapshot correctly,
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///it can cause broken program, invalid or not restored state of
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///the digraph or no change.
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class Snapshot
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{
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SmartDigraph *_graph;
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protected:
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friend class SmartDigraph;
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unsigned int node_num;
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unsigned int arc_num;
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public:
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///Default constructor.
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///Default constructor.
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///You have to call save() to actually make a snapshot.
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Snapshot() : _graph(0) {}
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///Constructor that immediately makes a snapshot
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///This constructor immediately makes a snapshot of the given digraph.
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///
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Snapshot(SmartDigraph &gr) : _graph(&gr) {
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node_num=_graph->nodes.size();
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arc_num=_graph->arcs.size();
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}
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///Make a snapshot.
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///This function makes a snapshot of the given digraph.
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///It can be called more than once. In case of a repeated
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///call, the previous snapshot gets lost.
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void save(SmartDigraph &gr) {
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_graph=&gr;
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node_num=_graph->nodes.size();
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arc_num=_graph->arcs.size();
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}
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///Undo the changes until a snapshot.
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///This function undos the changes until the last snapshot
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///created by save() or Snapshot(SmartDigraph&).
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void restore()
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{
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_graph->restoreSnapshot(*this);
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}
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};
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};
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class SmartGraphBase {
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protected:
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struct NodeT {
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int first_out;
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};
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struct ArcT {
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int target;
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int next_out;
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};
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std::vector<NodeT> nodes;
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std::vector<ArcT> arcs;
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public:
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typedef SmartGraphBase Graph;
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class Node;
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class Arc;
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class Edge;
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class Node {
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friend class SmartGraphBase;
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protected:
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int _id;
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explicit Node(int id) { _id = id;}
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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 Edge {
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friend class SmartGraphBase;
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protected:
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int _id;
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explicit Edge(int id) { _id = id;}
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public:
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Edge() {}
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Edge (Invalid) { _id = -1; }
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bool operator==(const Edge& arc) const {return _id == arc._id;}
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bool operator!=(const Edge& arc) const {return _id != arc._id;}
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bool operator<(const Edge& arc) const {return _id < arc._id;}
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};
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class Arc {
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friend class SmartGraphBase;
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protected:
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int _id;
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explicit Arc(int id) { _id = id;}
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public:
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operator Edge() const {
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return _id != -1 ? edgeFromId(_id / 2) : INVALID;
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}
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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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SmartGraphBase()
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: nodes(), arcs() {}
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typedef True NodeNumTag;
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typedef True EdgeNumTag;
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typedef True ArcNumTag;
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int nodeNum() const { return nodes.size(); }
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int edgeNum() const { return arcs.size() / 2; }
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int arcNum() const { return arcs.size(); }
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int maxNodeId() const { return nodes.size()-1; }
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int maxEdgeId() const { return arcs.size() / 2 - 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 ^ 1].target); }
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Node target(Arc e) const { return Node(arcs[e._id].target); }
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Node u(Edge e) const { return Node(arcs[2 * e._id].target); }
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Node v(Edge e) const { return Node(arcs[2 * e._id + 1].target); }
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static bool direction(Arc e) {
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return (e._id & 1) == 1;
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}
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static Arc direct(Edge e, bool d) {
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return Arc(e._id * 2 + (d ? 1 : 0));
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}
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void first(Node& node) const {
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node._id = nodes.size() - 1;
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}
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static void next(Node& node) {
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--node._id;
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}
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void first(Arc& arc) const {
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arc._id = arcs.size() - 1;
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}
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static void next(Arc& arc) {
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--arc._id;
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}
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void first(Edge& arc) const {
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arc._id = arcs.size() / 2 - 1;
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}
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static void next(Edge& arc) {
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--arc._id;
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}
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void firstOut(Arc &arc, const Node& v) const {
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arc._id = nodes[v._id].first_out;
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}
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void nextOut(Arc &arc) const {
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arc._id = arcs[arc._id].next_out;
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}
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void firstIn(Arc &arc, const Node& v) const {
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arc._id = ((nodes[v._id].first_out) ^ 1);
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if (arc._id == -2) arc._id = -1;
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}
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void nextIn(Arc &arc) const {
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arc._id = ((arcs[arc._id ^ 1].next_out) ^ 1);
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if (arc._id == -2) arc._id = -1;
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}
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void firstInc(Edge &arc, bool& d, const Node& v) const {
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int de = nodes[v._id].first_out;
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if (de != -1) {
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arc._id = de / 2;
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d = ((de & 1) == 1);
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} else {
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arc._id = -1;
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d = true;
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}
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}
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void nextInc(Edge &arc, bool& d) const {
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int de = (arcs[(arc._id * 2) | (d ? 1 : 0)].next_out);
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if (de != -1) {
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arc._id = de / 2;
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d = ((de & 1) == 1);
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} else {
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arc._id = -1;
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d = true;
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}
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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 int id(Edge 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);}
|
|
static Edge edgeFromId(int id) { return Edge(id);}
|
|
|
|
bool valid(Node n) const {
|
|
return n._id >= 0 && n._id < static_cast<int>(nodes.size());
|
|
}
|
|
bool valid(Arc a) const {
|
|
return a._id >= 0 && a._id < static_cast<int>(arcs.size());
|
|
}
|
|
bool valid(Edge e) const {
|
|
return e._id >= 0 && 2 * e._id < static_cast<int>(arcs.size());
|
|
}
|
|
|
|
Node addNode() {
|
|
int n = nodes.size();
|
|
nodes.push_back(NodeT());
|
|
nodes[n].first_out = -1;
|
|
|
|
return Node(n);
|
|
}
|
|
|
|
Edge addEdge(Node u, Node v) {
|
|
int n = arcs.size();
|
|
arcs.push_back(ArcT());
|
|
arcs.push_back(ArcT());
|
|
|
|
arcs[n].target = u._id;
|
|
arcs[n | 1].target = v._id;
|
|
|
|
arcs[n].next_out = nodes[v._id].first_out;
|
|
nodes[v._id].first_out = n;
|
|
|
|
arcs[n | 1].next_out = nodes[u._id].first_out;
|
|
nodes[u._id].first_out = (n | 1);
|
|
|
|
return Edge(n / 2);
|
|
}
|
|
|
|
void clear() {
|
|
arcs.clear();
|
|
nodes.clear();
|
|
}
|
|
|
|
};
|
|
|
|
typedef GraphExtender<SmartGraphBase> ExtendedSmartGraphBase;
|
|
|
|
/// \ingroup graphs
|
|
///
|
|
/// \brief A smart undirected graph class.
|
|
///
|
|
/// \ref SmartGraph is a simple and fast graph implementation.
|
|
/// It is also quite memory efficient but at the price
|
|
/// that it does not support node and edge deletion
|
|
/// (except for the Snapshot feature).
|
|
///
|
|
/// This type fully conforms to the \ref concepts::Graph "Graph concept"
|
|
/// and it also provides some additional functionalities.
|
|
/// Most of its member functions and nested classes are documented
|
|
/// only in the concept class.
|
|
///
|
|
/// This class provides constant time counting for nodes, edges and arcs.
|
|
///
|
|
/// \sa concepts::Graph
|
|
/// \sa SmartDigraph
|
|
class SmartGraph : public ExtendedSmartGraphBase {
|
|
typedef ExtendedSmartGraphBase Parent;
|
|
|
|
private:
|
|
/// Graphs are \e not copy constructible. Use GraphCopy instead.
|
|
SmartGraph(const SmartGraph &) : ExtendedSmartGraphBase() {};
|
|
/// \brief Assignment of a graph to another one is \e not allowed.
|
|
/// Use GraphCopy instead.
|
|
void operator=(const SmartGraph &) {}
|
|
|
|
public:
|
|
|
|
/// Constructor
|
|
|
|
/// Constructor.
|
|
///
|
|
SmartGraph() {}
|
|
|
|
/// \brief Add a new node to the graph.
|
|
///
|
|
/// This function adds a new node to the graph.
|
|
/// \return The new node.
|
|
Node addNode() { return Parent::addNode(); }
|
|
|
|
/// \brief Add a new edge to the graph.
|
|
///
|
|
/// This function adds a new edge to the graph between nodes
|
|
/// \c u and \c v with inherent orientation from node \c u to
|
|
/// node \c v.
|
|
/// \return The new edge.
|
|
Edge addEdge(Node u, Node v) {
|
|
return Parent::addEdge(u, v);
|
|
}
|
|
|
|
/// \brief Node validity check
|
|
///
|
|
/// This function gives back \c true if the given node is valid,
|
|
/// i.e. it is a real node of the graph.
|
|
///
|
|
/// \warning A removed node (using Snapshot) could become valid again
|
|
/// if new nodes are added to the graph.
|
|
bool valid(Node n) const { return Parent::valid(n); }
|
|
|
|
/// \brief Edge validity check
|
|
///
|
|
/// This function gives back \c true if the given edge is valid,
|
|
/// i.e. it is a real edge of the graph.
|
|
///
|
|
/// \warning A removed edge (using Snapshot) could become valid again
|
|
/// if new edges are added to the graph.
|
|
bool valid(Edge e) const { return Parent::valid(e); }
|
|
|
|
/// \brief Arc validity check
|
|
///
|
|
/// This function gives back \c true if the given arc is valid,
|
|
/// i.e. it is a real arc of the graph.
|
|
///
|
|
/// \warning A removed arc (using Snapshot) could become valid again
|
|
/// if new edges are added to the graph.
|
|
bool valid(Arc a) const { return Parent::valid(a); }
|
|
|
|
///Clear the graph.
|
|
|
|
///This function erases all nodes and arcs from the graph.
|
|
///
|
|
void clear() {
|
|
Parent::clear();
|
|
}
|
|
|
|
/// Reserve memory for nodes.
|
|
|
|
/// Using this function, it is possible to avoid superfluous memory
|
|
/// allocation: if you know that the graph you want to build will
|
|
/// be large (e.g. it will contain millions of nodes and/or edges),
|
|
/// then it is worth reserving space for this amount before starting
|
|
/// to build the graph.
|
|
/// \sa reserveEdge()
|
|
void reserveNode(int n) { nodes.reserve(n); };
|
|
|
|
/// Reserve memory for edges.
|
|
|
|
/// Using this function, it is possible to avoid superfluous memory
|
|
/// allocation: if you know that the graph you want to build will
|
|
/// be large (e.g. it will contain millions of nodes and/or edges),
|
|
/// then it is worth reserving space for this amount before starting
|
|
/// to build the graph.
|
|
/// \sa reserveNode()
|
|
void reserveEdge(int m) { arcs.reserve(2 * m); };
|
|
|
|
public:
|
|
|
|
class Snapshot;
|
|
|
|
protected:
|
|
|
|
void saveSnapshot(Snapshot &s)
|
|
{
|
|
s._graph = this;
|
|
s.node_num = nodes.size();
|
|
s.arc_num = arcs.size();
|
|
}
|
|
|
|
void restoreSnapshot(const Snapshot &s)
|
|
{
|
|
while(s.arc_num<arcs.size()) {
|
|
int n=arcs.size()-1;
|
|
Edge arc=edgeFromId(n/2);
|
|
Parent::notifier(Edge()).erase(arc);
|
|
std::vector<Arc> dir;
|
|
dir.push_back(arcFromId(n));
|
|
dir.push_back(arcFromId(n-1));
|
|
Parent::notifier(Arc()).erase(dir);
|
|
nodes[arcs[n-1].target].first_out=arcs[n].next_out;
|
|
nodes[arcs[n].target].first_out=arcs[n-1].next_out;
|
|
arcs.pop_back();
|
|
arcs.pop_back();
|
|
}
|
|
while(s.node_num<nodes.size()) {
|
|
int n=nodes.size()-1;
|
|
Node node = nodeFromId(n);
|
|
Parent::notifier(Node()).erase(node);
|
|
nodes.pop_back();
|
|
}
|
|
}
|
|
|
|
public:
|
|
|
|
///Class to make a snapshot of the graph and to restore it later.
|
|
|
|
///Class to make a snapshot of the graph and to restore it later.
|
|
///
|
|
///The newly added nodes and edges can be removed using the
|
|
///restore() function. This is the only way for deleting nodes and/or
|
|
///edges from a SmartGraph structure.
|
|
///
|
|
///\note After a state is restored, you cannot restore a later state,
|
|
///i.e. you cannot add the removed nodes and edges again using
|
|
///another Snapshot instance.
|
|
///
|
|
///\warning The validity of the snapshot is not stored due to
|
|
///performance reasons. If you do not use the snapshot correctly,
|
|
///it can cause broken program, invalid or not restored state of
|
|
///the graph or no change.
|
|
class Snapshot
|
|
{
|
|
SmartGraph *_graph;
|
|
protected:
|
|
friend class SmartGraph;
|
|
unsigned int node_num;
|
|
unsigned int arc_num;
|
|
public:
|
|
///Default constructor.
|
|
|
|
///Default constructor.
|
|
///You have to call save() to actually make a snapshot.
|
|
Snapshot() : _graph(0) {}
|
|
///Constructor that immediately makes a snapshot
|
|
|
|
/// This constructor immediately makes a snapshot of the given graph.
|
|
///
|
|
Snapshot(SmartGraph &gr) {
|
|
gr.saveSnapshot(*this);
|
|
}
|
|
|
|
///Make a snapshot.
|
|
|
|
///This function makes a snapshot of the given graph.
|
|
///It can be called more than once. In case of a repeated
|
|
///call, the previous snapshot gets lost.
|
|
void save(SmartGraph &gr)
|
|
{
|
|
gr.saveSnapshot(*this);
|
|
}
|
|
|
|
///Undo the changes until the last snapshot.
|
|
|
|
///This function undos the changes until the last snapshot
|
|
///created by save() or Snapshot(SmartGraph&).
|
|
void restore()
|
|
{
|
|
_graph->restoreSnapshot(*this);
|
|
}
|
|
};
|
|
};
|
|
|
|
class SmartBpGraphBase {
|
|
|
|
protected:
|
|
|
|
struct NodeT {
|
|
int first_out;
|
|
int partition_next;
|
|
int partition_index;
|
|
bool red;
|
|
};
|
|
|
|
struct ArcT {
|
|
int target;
|
|
int next_out;
|
|
};
|
|
|
|
std::vector<NodeT> nodes;
|
|
std::vector<ArcT> arcs;
|
|
|
|
int first_red, first_blue;
|
|
int max_red, max_blue;
|
|
|
|
public:
|
|
|
|
typedef SmartBpGraphBase Graph;
|
|
|
|
class Node;
|
|
class Arc;
|
|
class Edge;
|
|
|
|
class Node {
|
|
friend class SmartBpGraphBase;
|
|
protected:
|
|
|
|
int _id;
|
|
explicit Node(int id) { _id = id;}
|
|
|
|
public:
|
|
Node() {}
|
|
Node (Invalid) { _id = -1; }
|
|
bool operator==(const Node& node) const {return _id == node._id;}
|
|
bool operator!=(const Node& node) const {return _id != node._id;}
|
|
bool operator<(const Node& node) const {return _id < node._id;}
|
|
};
|
|
|
|
class RedNode : public Node {
|
|
friend class SmartBpGraphBase;
|
|
protected:
|
|
|
|
explicit RedNode(int pid) : Node(pid) {}
|
|
|
|
public:
|
|
RedNode() {}
|
|
RedNode(const RedNode& node) : Node(node) {}
|
|
RedNode(Invalid) : Node(INVALID){}
|
|
};
|
|
|
|
class BlueNode : public Node {
|
|
friend class SmartBpGraphBase;
|
|
protected:
|
|
|
|
explicit BlueNode(int pid) : Node(pid) {}
|
|
|
|
public:
|
|
BlueNode() {}
|
|
BlueNode(const BlueNode& node) : Node(node) {}
|
|
BlueNode(Invalid) : Node(INVALID){}
|
|
};
|
|
|
|
class Edge {
|
|
friend class SmartBpGraphBase;
|
|
protected:
|
|
|
|
int _id;
|
|
explicit Edge(int id) { _id = id;}
|
|
|
|
public:
|
|
Edge() {}
|
|
Edge (Invalid) { _id = -1; }
|
|
bool operator==(const Edge& arc) const {return _id == arc._id;}
|
|
bool operator!=(const Edge& arc) const {return _id != arc._id;}
|
|
bool operator<(const Edge& arc) const {return _id < arc._id;}
|
|
};
|
|
|
|
class Arc {
|
|
friend class SmartBpGraphBase;
|
|
protected:
|
|
|
|
int _id;
|
|
explicit Arc(int id) { _id = id;}
|
|
|
|
public:
|
|
operator Edge() const {
|
|
return _id != -1 ? edgeFromId(_id / 2) : INVALID;
|
|
}
|
|
|
|
Arc() {}
|
|
Arc (Invalid) { _id = -1; }
|
|
bool operator==(const Arc& arc) const {return _id == arc._id;}
|
|
bool operator!=(const Arc& arc) const {return _id != arc._id;}
|
|
bool operator<(const Arc& arc) const {return _id < arc._id;}
|
|
};
|
|
|
|
|
|
|
|
SmartBpGraphBase()
|
|
: nodes(), arcs(), first_red(-1), first_blue(-1),
|
|
max_red(-1), max_blue(-1) {}
|
|
|
|
typedef True NodeNumTag;
|
|
typedef True EdgeNumTag;
|
|
typedef True ArcNumTag;
|
|
|
|
int nodeNum() const { return nodes.size(); }
|
|
int redNum() const { return max_red + 1; }
|
|
int blueNum() const { return max_blue + 1; }
|
|
int edgeNum() const { return arcs.size() / 2; }
|
|
int arcNum() const { return arcs.size(); }
|
|
|
|
int maxNodeId() const { return nodes.size()-1; }
|
|
int maxRedId() const { return max_red; }
|
|
int maxBlueId() const { return max_blue; }
|
|
int maxEdgeId() const { return arcs.size() / 2 - 1; }
|
|
int maxArcId() const { return arcs.size()-1; }
|
|
|
|
bool red(Node n) const { return nodes[n._id].red; }
|
|
bool blue(Node n) const { return !nodes[n._id].red; }
|
|
|
|
static RedNode asRedNodeUnsafe(Node n) { return RedNode(n._id); }
|
|
static BlueNode asBlueNodeUnsafe(Node n) { return BlueNode(n._id); }
|
|
|
|
Node source(Arc a) const { return Node(arcs[a._id ^ 1].target); }
|
|
Node target(Arc a) const { return Node(arcs[a._id].target); }
|
|
|
|
RedNode redNode(Edge e) const {
|
|
return RedNode(arcs[2 * e._id].target);
|
|
}
|
|
BlueNode blueNode(Edge e) const {
|
|
return BlueNode(arcs[2 * e._id + 1].target);
|
|
}
|
|
|
|
static bool direction(Arc a) {
|
|
return (a._id & 1) == 1;
|
|
}
|
|
|
|
static Arc direct(Edge e, bool d) {
|
|
return Arc(e._id * 2 + (d ? 1 : 0));
|
|
}
|
|
|
|
void first(Node& node) const {
|
|
node._id = nodes.size() - 1;
|
|
}
|
|
|
|
static void next(Node& node) {
|
|
--node._id;
|
|
}
|
|
|
|
void first(RedNode& node) const {
|
|
node._id = first_red;
|
|
}
|
|
|
|
void next(RedNode& node) const {
|
|
node._id = nodes[node._id].partition_next;
|
|
}
|
|
|
|
void first(BlueNode& node) const {
|
|
node._id = first_blue;
|
|
}
|
|
|
|
void next(BlueNode& node) const {
|
|
node._id = nodes[node._id].partition_next;
|
|
}
|
|
|
|
void first(Arc& arc) const {
|
|
arc._id = arcs.size() - 1;
|
|
}
|
|
|
|
static void next(Arc& arc) {
|
|
--arc._id;
|
|
}
|
|
|
|
void first(Edge& arc) const {
|
|
arc._id = arcs.size() / 2 - 1;
|
|
}
|
|
|
|
static void next(Edge& arc) {
|
|
--arc._id;
|
|
}
|
|
|
|
void firstOut(Arc &arc, const Node& v) const {
|
|
arc._id = nodes[v._id].first_out;
|
|
}
|
|
void nextOut(Arc &arc) const {
|
|
arc._id = arcs[arc._id].next_out;
|
|
}
|
|
|
|
void firstIn(Arc &arc, const Node& v) const {
|
|
arc._id = ((nodes[v._id].first_out) ^ 1);
|
|
if (arc._id == -2) arc._id = -1;
|
|
}
|
|
void nextIn(Arc &arc) const {
|
|
arc._id = ((arcs[arc._id ^ 1].next_out) ^ 1);
|
|
if (arc._id == -2) arc._id = -1;
|
|
}
|
|
|
|
void firstInc(Edge &arc, bool& d, const Node& v) const {
|
|
int de = nodes[v._id].first_out;
|
|
if (de != -1) {
|
|
arc._id = de / 2;
|
|
d = ((de & 1) == 1);
|
|
} else {
|
|
arc._id = -1;
|
|
d = true;
|
|
}
|
|
}
|
|
void nextInc(Edge &arc, bool& d) const {
|
|
int de = (arcs[(arc._id * 2) | (d ? 1 : 0)].next_out);
|
|
if (de != -1) {
|
|
arc._id = de / 2;
|
|
d = ((de & 1) == 1);
|
|
} else {
|
|
arc._id = -1;
|
|
d = true;
|
|
}
|
|
}
|
|
|
|
static int id(Node v) { return v._id; }
|
|
int id(RedNode v) const { return nodes[v._id].partition_index; }
|
|
int id(BlueNode v) const { return nodes[v._id].partition_index; }
|
|
static int id(Arc e) { return e._id; }
|
|
static int id(Edge e) { return e._id; }
|
|
|
|
static Node nodeFromId(int id) { return Node(id);}
|
|
static Arc arcFromId(int id) { return Arc(id);}
|
|
static Edge edgeFromId(int id) { return Edge(id);}
|
|
|
|
bool valid(Node n) const {
|
|
return n._id >= 0 && n._id < static_cast<int>(nodes.size());
|
|
}
|
|
bool valid(Arc a) const {
|
|
return a._id >= 0 && a._id < static_cast<int>(arcs.size());
|
|
}
|
|
bool valid(Edge e) const {
|
|
return e._id >= 0 && 2 * e._id < static_cast<int>(arcs.size());
|
|
}
|
|
|
|
RedNode addRedNode() {
|
|
int n = nodes.size();
|
|
nodes.push_back(NodeT());
|
|
nodes[n].first_out = -1;
|
|
nodes[n].red = true;
|
|
nodes[n].partition_index = ++max_red;
|
|
nodes[n].partition_next = first_red;
|
|
first_red = n;
|
|
|
|
return RedNode(n);
|
|
}
|
|
|
|
BlueNode addBlueNode() {
|
|
int n = nodes.size();
|
|
nodes.push_back(NodeT());
|
|
nodes[n].first_out = -1;
|
|
nodes[n].red = false;
|
|
nodes[n].partition_index = ++max_blue;
|
|
nodes[n].partition_next = first_blue;
|
|
first_blue = n;
|
|
|
|
return BlueNode(n);
|
|
}
|
|
|
|
Edge addEdge(RedNode u, BlueNode v) {
|
|
int n = arcs.size();
|
|
arcs.push_back(ArcT());
|
|
arcs.push_back(ArcT());
|
|
|
|
arcs[n].target = u._id;
|
|
arcs[n | 1].target = v._id;
|
|
|
|
arcs[n].next_out = nodes[v._id].first_out;
|
|
nodes[v._id].first_out = n;
|
|
|
|
arcs[n | 1].next_out = nodes[u._id].first_out;
|
|
nodes[u._id].first_out = (n | 1);
|
|
|
|
return Edge(n / 2);
|
|
}
|
|
|
|
void clear() {
|
|
arcs.clear();
|
|
nodes.clear();
|
|
first_red = -1;
|
|
first_blue = -1;
|
|
max_blue = -1;
|
|
max_red = -1;
|
|
}
|
|
|
|
};
|
|
|
|
typedef BpGraphExtender<SmartBpGraphBase> ExtendedSmartBpGraphBase;
|
|
|
|
/// \ingroup graphs
|
|
///
|
|
/// \brief A smart undirected bipartite graph class.
|
|
///
|
|
/// \ref SmartBpGraph is a simple and fast bipartite graph implementation.
|
|
/// It is also quite memory efficient but at the price
|
|
/// that it does not support node and edge deletion
|
|
/// (except for the Snapshot feature).
|
|
///
|
|
/// This type fully conforms to the \ref concepts::BpGraph "BpGraph concept"
|
|
/// and it also provides some 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 constant time counting for nodes, edges and arcs.
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///
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/// \sa concepts::BpGraph
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/// \sa SmartGraph
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class SmartBpGraph : public ExtendedSmartBpGraphBase {
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typedef ExtendedSmartBpGraphBase Parent;
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private:
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/// Graphs are \e not copy constructible. Use GraphCopy instead.
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SmartBpGraph(const SmartBpGraph &) : ExtendedSmartBpGraphBase() {};
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/// \brief Assignment of a graph to another one is \e not allowed.
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/// Use GraphCopy instead.
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void operator=(const SmartBpGraph &) {}
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public:
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/// Constructor
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/// Constructor.
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///
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SmartBpGraph() {}
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/// \brief Add a new red node to the graph.
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///
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/// This function adds a red new node to the graph.
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/// \return The new node.
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RedNode addRedNode() { return Parent::addRedNode(); }
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/// \brief Add a new blue node to the graph.
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///
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/// This function adds a blue new node to the graph.
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/// \return The new node.
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BlueNode addBlueNode() { return Parent::addBlueNode(); }
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/// \brief Add a new edge to the graph.
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///
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/// This function adds a new edge to the graph between nodes
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/// \c u and \c v with inherent orientation from node \c u to
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/// node \c v.
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/// \return The new edge.
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Edge addEdge(RedNode u, BlueNode v) {
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return Parent::addEdge(u, v);
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}
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Edge addEdge(BlueNode v, RedNode u) {
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return Parent::addEdge(u, v);
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}
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/// \brief Node validity check
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///
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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 graph.
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///
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/// \warning A removed node (using Snapshot) could become valid again
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/// if new nodes are added to the graph.
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bool valid(Node n) const { return Parent::valid(n); }
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/// \brief Edge validity check
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///
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/// This function gives back \c true if the given edge is valid,
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/// i.e. it is a real edge of the graph.
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///
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/// \warning A removed edge (using Snapshot) could become valid again
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/// if new edges are added to the graph.
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bool valid(Edge e) const { return Parent::valid(e); }
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/// \brief Arc validity check
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///
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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 graph.
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///
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/// \warning A removed arc (using Snapshot) could become valid again
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/// if new edges are added to the graph.
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bool valid(Arc a) const { return Parent::valid(a); }
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///Clear the graph.
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///This function erases all nodes and arcs from the graph.
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///
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void clear() {
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Parent::clear();
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}
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/// Reserve memory for nodes.
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/// Using this function, it is possible to avoid superfluous memory
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/// allocation: if you know that the graph you want to build will
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/// be large (e.g. it will contain millions of nodes and/or edges),
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/// then it is worth reserving space for this amount before starting
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/// to build the graph.
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/// \sa reserveEdge()
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void reserveNode(int n) { nodes.reserve(n); };
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|
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/// Reserve memory for edges.
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|
|
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/// Using this function, it is possible to avoid superfluous memory
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|
/// allocation: if you know that the graph you want to build will
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/// be large (e.g. it will contain millions of nodes and/or edges),
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/// then it is worth reserving space for this amount before starting
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/// to build the graph.
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/// \sa reserveNode()
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void reserveEdge(int m) { arcs.reserve(2 * m); };
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|
|
public:
|
|
|
|
class Snapshot;
|
|
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|
protected:
|
|
|
|
void saveSnapshot(Snapshot &s)
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|
{
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s._graph = this;
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s.node_num = nodes.size();
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|
s.arc_num = arcs.size();
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|
}
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|
|
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void restoreSnapshot(const Snapshot &s)
|
|
{
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|
while(s.arc_num<arcs.size()) {
|
|
int n=arcs.size()-1;
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|
Edge arc=edgeFromId(n/2);
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|
Parent::notifier(Edge()).erase(arc);
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std::vector<Arc> dir;
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|
dir.push_back(arcFromId(n));
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|
dir.push_back(arcFromId(n-1));
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Parent::notifier(Arc()).erase(dir);
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nodes[arcs[n-1].target].first_out=arcs[n].next_out;
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|
nodes[arcs[n].target].first_out=arcs[n-1].next_out;
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|
arcs.pop_back();
|
|
arcs.pop_back();
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|
}
|
|
while(s.node_num<nodes.size()) {
|
|
int n=nodes.size()-1;
|
|
Node node = nodeFromId(n);
|
|
if (Parent::red(node)) {
|
|
first_red = nodes[n].partition_next;
|
|
if (first_red != -1) {
|
|
max_red = nodes[first_red].partition_index;
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|
} else {
|
|
max_red = -1;
|
|
}
|
|
Parent::notifier(RedNode()).erase(asRedNodeUnsafe(node));
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|
} else {
|
|
first_blue = nodes[n].partition_next;
|
|
if (first_blue != -1) {
|
|
max_blue = nodes[first_blue].partition_index;
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|
} else {
|
|
max_blue = -1;
|
|
}
|
|
Parent::notifier(BlueNode()).erase(asBlueNodeUnsafe(node));
|
|
}
|
|
Parent::notifier(Node()).erase(node);
|
|
nodes.pop_back();
|
|
}
|
|
}
|
|
|
|
public:
|
|
|
|
///Class to make a snapshot of the graph and to restore it later.
|
|
|
|
///Class to make a snapshot of the graph and to restore it later.
|
|
///
|
|
///The newly added nodes and edges can be removed using the
|
|
///restore() function. This is the only way for deleting nodes and/or
|
|
///edges from a SmartBpGraph structure.
|
|
///
|
|
///\note After a state is restored, you cannot restore a later state,
|
|
///i.e. you cannot add the removed nodes and edges again using
|
|
///another Snapshot instance.
|
|
///
|
|
///\warning The validity of the snapshot is not stored due to
|
|
///performance reasons. If you do not use the snapshot correctly,
|
|
///it can cause broken program, invalid or not restored state of
|
|
///the graph or no change.
|
|
class Snapshot
|
|
{
|
|
SmartBpGraph *_graph;
|
|
protected:
|
|
friend class SmartBpGraph;
|
|
unsigned int node_num;
|
|
unsigned int arc_num;
|
|
public:
|
|
///Default constructor.
|
|
|
|
///Default constructor.
|
|
///You have to call save() to actually make a snapshot.
|
|
Snapshot() : _graph(0) {}
|
|
///Constructor that immediately makes a snapshot
|
|
|
|
/// This constructor immediately makes a snapshot of the given graph.
|
|
///
|
|
Snapshot(SmartBpGraph &gr) {
|
|
gr.saveSnapshot(*this);
|
|
}
|
|
|
|
///Make a snapshot.
|
|
|
|
///This function makes a snapshot of the given graph.
|
|
///It can be called more than once. In case of a repeated
|
|
///call, the previous snapshot gets lost.
|
|
void save(SmartBpGraph &gr)
|
|
{
|
|
gr.saveSnapshot(*this);
|
|
}
|
|
|
|
///Undo the changes until the last snapshot.
|
|
|
|
///This function undos the changes until the last snapshot
|
|
///created by save() or Snapshot(SmartBpGraph&).
|
|
void restore()
|
|
{
|
|
_graph->restoreSnapshot(*this);
|
|
}
|
|
};
|
|
};
|
|
|
|
} //namespace lemon
|
|
|
|
|
|
#endif //LEMON_SMART_GRAPH_H
|