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diff --git a/extern/quadriflow/3rd/lemon-1.3.1/lemon/edge_set.h b/extern/quadriflow/3rd/lemon-1.3.1/lemon/edge_set.h
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+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2013
+ * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
+ * (Egervary Research Group on Combinatorial Optimization, EGRES).
+ *
+ * Permission to use, modify and distribute this software is granted
+ * provided that this copyright notice appears in all copies. For
+ * precise terms see the accompanying LICENSE file.
+ *
+ * This software is provided "AS IS" with no warranty of any kind,
+ * express or implied, and with no claim as to its suitability for any
+ * purpose.
+ *
+ */
+
+#ifndef LEMON_EDGE_SET_H
+#define LEMON_EDGE_SET_H
+
+#include <lemon/core.h>
+#include <lemon/bits/edge_set_extender.h>
+
+/// \ingroup graphs
+/// \file
+/// \brief ArcSet and EdgeSet classes.
+///
+/// Graphs which use another graph's node-set as own.
+namespace lemon {
+
+ template <typename GR>
+ class ListArcSetBase {
+ public:
+
+ typedef typename GR::Node Node;
+ typedef typename GR::NodeIt NodeIt;
+
+ protected:
+
+ struct NodeT {
+ int first_out, first_in;
+ NodeT() : first_out(-1), first_in(-1) {}
+ };
+
+ typedef typename ItemSetTraits<GR, Node>::
+ template Map<NodeT>::Type NodesImplBase;
+
+ NodesImplBase* _nodes;
+
+ struct ArcT {
+ Node source, target;
+ int next_out, next_in;
+ int prev_out, prev_in;
+ ArcT() : prev_out(-1), prev_in(-1) {}
+ };
+
+ std::vector<ArcT> arcs;
+
+ int first_arc;
+ int first_free_arc;
+
+ const GR* _graph;
+
+ void initalize(const GR& graph, NodesImplBase& nodes) {
+ _graph = &graph;
+ _nodes = &nodes;
+ }
+
+ public:
+
+ class Arc {
+ friend class ListArcSetBase<GR>;
+ protected:
+ Arc(int _id) : id(_id) {}
+ int id;
+ public:
+ 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; }
+ };
+
+ ListArcSetBase() : first_arc(-1), first_free_arc(-1) {}
+
+ Node addNode() {
+ LEMON_ASSERT(false,
+ "This graph structure does not support node insertion");
+ return INVALID; // avoid warning
+ }
+
+ Arc addArc(const Node& u, const Node& v) {
+ int n;
+ if (first_free_arc == -1) {
+ n = arcs.size();
+ arcs.push_back(ArcT());
+ } else {
+ n = first_free_arc;
+ first_free_arc = arcs[first_free_arc].next_in;
+ }
+ arcs[n].next_in = (*_nodes)[v].first_in;
+ if ((*_nodes)[v].first_in != -1) {
+ arcs[(*_nodes)[v].first_in].prev_in = n;
+ }
+ (*_nodes)[v].first_in = n;
+ arcs[n].next_out = (*_nodes)[u].first_out;
+ if ((*_nodes)[u].first_out != -1) {
+ arcs[(*_nodes)[u].first_out].prev_out = n;
+ }
+ (*_nodes)[u].first_out = n;
+ arcs[n].source = u;
+ arcs[n].target = v;
+ return Arc(n);
+ }
+
+ void erase(const Arc& arc) {
+ int n = arc.id;
+ if (arcs[n].prev_in != -1) {
+ arcs[arcs[n].prev_in].next_in = arcs[n].next_in;
+ } else {
+ (*_nodes)[arcs[n].target].first_in = arcs[n].next_in;
+ }
+ if (arcs[n].next_in != -1) {
+ arcs[arcs[n].next_in].prev_in = arcs[n].prev_in;
+ }
+
+ if (arcs[n].prev_out != -1) {
+ arcs[arcs[n].prev_out].next_out = arcs[n].next_out;
+ } else {
+ (*_nodes)[arcs[n].source].first_out = arcs[n].next_out;
+ }
+ if (arcs[n].next_out != -1) {
+ arcs[arcs[n].next_out].prev_out = arcs[n].prev_out;
+ }
+
+ }
+
+ void clear() {
+ Node node;
+ for (first(node); node != INVALID; next(node)) {
+ (*_nodes)[node].first_in = -1;
+ (*_nodes)[node].first_out = -1;
+ }
+ arcs.clear();
+ first_arc = -1;
+ first_free_arc = -1;
+ }
+
+ void first(Node& node) const {
+ _graph->first(node);
+ }
+
+ void next(Node& node) const {
+ _graph->next(node);
+ }
+
+ void first(Arc& arc) const {
+ Node node;
+ first(node);
+ while (node != INVALID && (*_nodes)[node].first_in == -1) {
+ next(node);
+ }
+ arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_in;
+ }
+
+ void next(Arc& arc) const {
+ if (arcs[arc.id].next_in != -1) {
+ arc.id = arcs[arc.id].next_in;
+ } else {
+ Node node = arcs[arc.id].target;
+ next(node);
+ while (node != INVALID && (*_nodes)[node].first_in == -1) {
+ next(node);
+ }
+ arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_in;
+ }
+ }
+
+ void firstOut(Arc& arc, const Node& node) const {
+ arc.id = (*_nodes)[node].first_out;
+ }
+
+ void nextOut(Arc& arc) const {
+ arc.id = arcs[arc.id].next_out;
+ }
+
+ void firstIn(Arc& arc, const Node& node) const {
+ arc.id = (*_nodes)[node].first_in;
+ }
+
+ void nextIn(Arc& arc) const {
+ arc.id = arcs[arc.id].next_in;
+ }
+
+ int id(const Node& node) const { return _graph->id(node); }
+ int id(const Arc& arc) const { return arc.id; }
+
+ Node nodeFromId(int ix) const { return _graph->nodeFromId(ix); }
+ Arc arcFromId(int ix) const { return Arc(ix); }
+
+ int maxNodeId() const { return _graph->maxNodeId(); };
+ int maxArcId() const { return arcs.size() - 1; }
+
+ Node source(const Arc& arc) const { return arcs[arc.id].source;}
+ Node target(const Arc& arc) const { return arcs[arc.id].target;}
+
+ typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier;
+
+ NodeNotifier& notifier(Node) const {
+ return _graph->notifier(Node());
+ }
+
+ template <typename V>
+ class NodeMap : public GR::template NodeMap<V> {
+ typedef typename GR::template NodeMap<V> Parent;
+
+ public:
+
+ explicit NodeMap(const ListArcSetBase<GR>& arcset)
+ : Parent(*arcset._graph) {}
+
+ NodeMap(const ListArcSetBase<GR>& arcset, const V& value)
+ : Parent(*arcset._graph, value) {}
+
+ NodeMap& operator=(const NodeMap& cmap) {
+ return operator=<NodeMap>(cmap);
+ }
+
+ template <typename CMap>
+ NodeMap& operator=(const CMap& cmap) {
+ Parent::operator=(cmap);
+ return *this;
+ }
+ };
+
+ };
+
+ /// \ingroup graphs
+ ///
+ /// \brief Digraph using a node set of another digraph or graph and
+ /// an own arc set.
+ ///
+ /// This structure can be used to establish another directed graph
+ /// over a node set of an existing one. This class uses the same
+ /// Node type as the underlying graph, and each valid node of the
+ /// original graph is valid in this arc set, therefore the node
+ /// objects of the original graph can be used directly with this
+ /// class. The node handling functions (id handling, observing, and
+ /// iterators) works equivalently as in the original graph.
+ ///
+ /// This implementation is based on doubly-linked lists, from each
+ /// node the outgoing and the incoming arcs make up lists, therefore
+ /// one arc can be erased in constant time. It also makes possible,
+ /// that node can be removed from the underlying graph, in this case
+ /// all arcs incident to the given node is erased from the arc set.
+ ///
+ /// This class fully conforms to the \ref concepts::Digraph
+ /// "Digraph" concept.
+ /// It provides only linear time counting for nodes and arcs.
+ ///
+ /// \param GR The type of the graph which shares its node set with
+ /// this class. Its interface must conform to the
+ /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph"
+ /// concept.
+ template <typename GR>
+ class ListArcSet : public ArcSetExtender<ListArcSetBase<GR> > {
+ typedef ArcSetExtender<ListArcSetBase<GR> > Parent;
+
+ public:
+
+ typedef typename Parent::Node Node;
+ typedef typename Parent::Arc Arc;
+
+ typedef typename Parent::NodesImplBase NodesImplBase;
+
+ void eraseNode(const Node& node) {
+ Arc arc;
+ Parent::firstOut(arc, node);
+ while (arc != INVALID ) {
+ erase(arc);
+ Parent::firstOut(arc, node);
+ }
+
+ Parent::firstIn(arc, node);
+ while (arc != INVALID ) {
+ erase(arc);
+ Parent::firstIn(arc, node);
+ }
+ }
+
+ void clearNodes() {
+ Parent::clear();
+ }
+
+ class NodesImpl : public NodesImplBase {
+ typedef NodesImplBase Parent;
+
+ public:
+ NodesImpl(const GR& graph, ListArcSet& arcset)
+ : Parent(graph), _arcset(arcset) {}
+
+ virtual ~NodesImpl() {}
+
+ protected:
+
+ virtual void erase(const Node& node) {
+ _arcset.eraseNode(node);
+ Parent::erase(node);
+ }
+ virtual void erase(const std::vector<Node>& nodes) {
+ for (int i = 0; i < int(nodes.size()); ++i) {
+ _arcset.eraseNode(nodes[i]);
+ }
+ Parent::erase(nodes);
+ }
+ virtual void clear() {
+ _arcset.clearNodes();
+ Parent::clear();
+ }
+
+ private:
+ ListArcSet& _arcset;
+ };
+
+ NodesImpl _nodes;
+
+ public:
+
+ /// \brief Constructor of the ArcSet.
+ ///
+ /// Constructor of the ArcSet.
+ ListArcSet(const GR& graph) : _nodes(graph, *this) {
+ Parent::initalize(graph, _nodes);
+ }
+
+ /// \brief Add a new arc to the digraph.
+ ///
+ /// Add a new arc to the digraph with source node \c s
+ /// and target node \c t.
+ /// \return The new arc.
+ Arc addArc(const Node& s, const Node& t) {
+ return Parent::addArc(s, t);
+ }
+
+ /// \brief Erase an arc from the digraph.
+ ///
+ /// Erase an arc \c a from the digraph.
+ void erase(const Arc& a) {
+ return Parent::erase(a);
+ }
+
+ };
+
+ template <typename GR>
+ class ListEdgeSetBase {
+ public:
+
+ typedef typename GR::Node Node;
+ typedef typename GR::NodeIt NodeIt;
+
+ protected:
+
+ struct NodeT {
+ int first_out;
+ NodeT() : first_out(-1) {}
+ };
+
+ typedef typename ItemSetTraits<GR, Node>::
+ template Map<NodeT>::Type NodesImplBase;
+
+ NodesImplBase* _nodes;
+
+ struct ArcT {
+ Node target;
+ int prev_out, next_out;
+ ArcT() : prev_out(-1), next_out(-1) {}
+ };
+
+ std::vector<ArcT> arcs;
+
+ int first_arc;
+ int first_free_arc;
+
+ const GR* _graph;
+
+ void initalize(const GR& graph, NodesImplBase& nodes) {
+ _graph = &graph;
+ _nodes = &nodes;
+ }
+
+ public:
+
+ class Edge {
+ friend class ListEdgeSetBase;
+ 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 ListEdgeSetBase;
+ protected:
+ Arc(int _id) : id(_id) {}
+ int id;
+ public:
+ operator Edge() const { return edgeFromId(id / 2); }
+
+ 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; }
+ };
+
+ ListEdgeSetBase() : first_arc(-1), first_free_arc(-1) {}
+
+ Node addNode() {
+ LEMON_ASSERT(false,
+ "This graph structure does not support node insertion");
+ return INVALID; // avoid warning
+ }
+
+ Edge addEdge(const Node& u, const Node& v) {
+ int n;
+
+ if (first_free_arc == -1) {
+ n = arcs.size();
+ arcs.push_back(ArcT());
+ arcs.push_back(ArcT());
+ } else {
+ n = first_free_arc;
+ first_free_arc = arcs[n].next_out;
+ }
+
+ arcs[n].target = u;
+ arcs[n | 1].target = v;
+
+ arcs[n].next_out = (*_nodes)[v].first_out;
+ if ((*_nodes)[v].first_out != -1) {
+ arcs[(*_nodes)[v].first_out].prev_out = n;
+ }
+ (*_nodes)[v].first_out = n;
+ arcs[n].prev_out = -1;
+
+ if ((*_nodes)[u].first_out != -1) {
+ arcs[(*_nodes)[u].first_out].prev_out = (n | 1);
+ }
+ arcs[n | 1].next_out = (*_nodes)[u].first_out;
+ (*_nodes)[u].first_out = (n | 1);
+ arcs[n | 1].prev_out = -1;
+
+ return Edge(n / 2);
+ }
+
+ void erase(const Edge& arc) {
+ int n = arc.id * 2;
+
+ if (arcs[n].next_out != -1) {
+ arcs[arcs[n].next_out].prev_out = arcs[n].prev_out;
+ }
+
+ if (arcs[n].prev_out != -1) {
+ arcs[arcs[n].prev_out].next_out = arcs[n].next_out;
+ } else {
+ (*_nodes)[arcs[n | 1].target].first_out = arcs[n].next_out;
+ }
+
+ if (arcs[n | 1].next_out != -1) {
+ arcs[arcs[n | 1].next_out].prev_out = arcs[n | 1].prev_out;
+ }
+
+ if (arcs[n | 1].prev_out != -1) {
+ arcs[arcs[n | 1].prev_out].next_out = arcs[n | 1].next_out;
+ } else {
+ (*_nodes)[arcs[n].target].first_out = arcs[n | 1].next_out;
+ }
+
+ arcs[n].next_out = first_free_arc;
+ first_free_arc = n;
+
+ }
+
+ void clear() {
+ Node node;
+ for (first(node); node != INVALID; next(node)) {
+ (*_nodes)[node].first_out = -1;
+ }
+ arcs.clear();
+ first_arc = -1;
+ first_free_arc = -1;
+ }
+
+ void first(Node& node) const {
+ _graph->first(node);
+ }
+
+ void next(Node& node) const {
+ _graph->next(node);
+ }
+
+ void first(Arc& arc) const {
+ Node node;
+ first(node);
+ while (node != INVALID && (*_nodes)[node].first_out == -1) {
+ next(node);
+ }
+ arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_out;
+ }
+
+ void next(Arc& arc) const {
+ if (arcs[arc.id].next_out != -1) {
+ arc.id = arcs[arc.id].next_out;
+ } else {
+ Node node = arcs[arc.id ^ 1].target;
+ next(node);
+ while(node != INVALID && (*_nodes)[node].first_out == -1) {
+ next(node);
+ }
+ arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_out;
+ }
+ }
+
+ void first(Edge& edge) const {
+ Node node;
+ first(node);
+ while (node != INVALID) {
+ edge.id = (*_nodes)[node].first_out;
+ while ((edge.id & 1) != 1) {
+ edge.id = arcs[edge.id].next_out;
+ }
+ if (edge.id != -1) {
+ edge.id /= 2;
+ return;
+ }
+ next(node);
+ }
+ edge.id = -1;
+ }
+
+ void next(Edge& edge) const {
+ Node node = arcs[edge.id * 2].target;
+ edge.id = arcs[(edge.id * 2) | 1].next_out;
+ while ((edge.id & 1) != 1) {
+ edge.id = arcs[edge.id].next_out;
+ }
+ if (edge.id != -1) {
+ edge.id /= 2;
+ return;
+ }
+ next(node);
+ while (node != INVALID) {
+ edge.id = (*_nodes)[node].first_out;
+ while ((edge.id & 1) != 1) {
+ edge.id = arcs[edge.id].next_out;
+ }
+ if (edge.id != -1) {
+ edge.id /= 2;
+ return;
+ }
+ next(node);
+ }
+ edge.id = -1;
+ }
+
+ void firstOut(Arc& arc, const Node& node) const {
+ arc.id = (*_nodes)[node].first_out;
+ }
+
+ void nextOut(Arc& arc) const {
+ arc.id = arcs[arc.id].next_out;
+ }
+
+ void firstIn(Arc& arc, const Node& node) const {
+ arc.id = (((*_nodes)[node].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& dir, const Node& node) const {
+ int de = (*_nodes)[node].first_out;
+ if (de != -1 ) {
+ arc.id = de / 2;
+ dir = ((de & 1) == 1);
+ } else {
+ arc.id = -1;
+ dir = true;
+ }
+ }
+ void nextInc(Edge &arc, bool& dir) const {
+ int de = (arcs[(arc.id * 2) | (dir ? 1 : 0)].next_out);
+ if (de != -1 ) {
+ arc.id = de / 2;
+ dir = ((de & 1) == 1);
+ } else {
+ arc.id = -1;
+ dir = true;
+ }
+ }
+
+ static bool direction(Arc arc) {
+ return (arc.id & 1) == 1;
+ }
+
+ static Arc direct(Edge edge, bool dir) {
+ return Arc(edge.id * 2 + (dir ? 1 : 0));
+ }
+
+ int id(const Node& node) const { return _graph->id(node); }
+ static int id(Arc e) { return e.id; }
+ static int id(Edge e) { return e.id; }
+
+ Node nodeFromId(int id) const { return _graph->nodeFromId(id); }
+ static Arc arcFromId(int id) { return Arc(id);}
+ static Edge edgeFromId(int id) { return Edge(id);}
+
+ int maxNodeId() const { return _graph->maxNodeId(); };
+ int maxEdgeId() const { return arcs.size() / 2 - 1; }
+ int maxArcId() const { return arcs.size()-1; }
+
+ Node source(Arc e) const { return arcs[e.id ^ 1].target; }
+ Node target(Arc e) const { return arcs[e.id].target; }
+
+ Node u(Edge e) const { return arcs[2 * e.id].target; }
+ Node v(Edge e) const { return arcs[2 * e.id + 1].target; }
+
+ typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier;
+
+ NodeNotifier& notifier(Node) const {
+ return _graph->notifier(Node());
+ }
+
+ template <typename V>
+ class NodeMap : public GR::template NodeMap<V> {
+ typedef typename GR::template NodeMap<V> Parent;
+
+ public:
+
+ explicit NodeMap(const ListEdgeSetBase<GR>& arcset)
+ : Parent(*arcset._graph) {}
+
+ NodeMap(const ListEdgeSetBase<GR>& arcset, const V& value)
+ : Parent(*arcset._graph, value) {}
+
+ NodeMap& operator=(const NodeMap& cmap) {
+ return operator=<NodeMap>(cmap);
+ }
+
+ template <typename CMap>
+ NodeMap& operator=(const CMap& cmap) {
+ Parent::operator=(cmap);
+ return *this;
+ }
+ };
+
+ };
+
+ /// \ingroup graphs
+ ///
+ /// \brief Graph using a node set of another digraph or graph and an
+ /// own edge set.
+ ///
+ /// This structure can be used to establish another graph over a
+ /// node set of an existing one. This class uses the same Node type
+ /// as the underlying graph, and each valid node of the original
+ /// graph is valid in this arc set, therefore the node objects of
+ /// the original graph can be used directly with this class. The
+ /// node handling functions (id handling, observing, and iterators)
+ /// works equivalently as in the original graph.
+ ///
+ /// This implementation is based on doubly-linked lists, from each
+ /// node the incident edges make up lists, therefore one edge can be
+ /// erased in constant time. It also makes possible, that node can
+ /// be removed from the underlying graph, in this case all edges
+ /// incident to the given node is erased from the arc set.
+ ///
+ /// This class fully conforms to the \ref concepts::Graph "Graph"
+ /// concept.
+ /// It provides only linear time counting for nodes, edges and arcs.
+ ///
+ /// \param GR The type of the graph which shares its node set
+ /// with this class. Its interface must conform to the
+ /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph"
+ /// concept.
+ template <typename GR>
+ class ListEdgeSet : public EdgeSetExtender<ListEdgeSetBase<GR> > {
+ typedef EdgeSetExtender<ListEdgeSetBase<GR> > Parent;
+
+ public:
+
+ typedef typename Parent::Node Node;
+ typedef typename Parent::Arc Arc;
+ typedef typename Parent::Edge Edge;
+
+ typedef typename Parent::NodesImplBase NodesImplBase;
+
+ void eraseNode(const Node& node) {
+ Arc arc;
+ Parent::firstOut(arc, node);
+ while (arc != INVALID ) {
+ erase(arc);
+ Parent::firstOut(arc, node);
+ }
+
+ }
+
+ void clearNodes() {
+ Parent::clear();
+ }
+
+ class NodesImpl : public NodesImplBase {
+ typedef NodesImplBase Parent;
+
+ public:
+ NodesImpl(const GR& graph, ListEdgeSet& arcset)
+ : Parent(graph), _arcset(arcset) {}
+
+ virtual ~NodesImpl() {}
+
+ protected:
+
+ virtual void erase(const Node& node) {
+ _arcset.eraseNode(node);
+ Parent::erase(node);
+ }
+ virtual void erase(const std::vector<Node>& nodes) {
+ for (int i = 0; i < int(nodes.size()); ++i) {
+ _arcset.eraseNode(nodes[i]);
+ }
+ Parent::erase(nodes);
+ }
+ virtual void clear() {
+ _arcset.clearNodes();
+ Parent::clear();
+ }
+
+ private:
+ ListEdgeSet& _arcset;
+ };
+
+ NodesImpl _nodes;
+
+ public:
+
+ /// \brief Constructor of the EdgeSet.
+ ///
+ /// Constructor of the EdgeSet.
+ ListEdgeSet(const GR& graph) : _nodes(graph, *this) {
+ Parent::initalize(graph, _nodes);
+ }
+
+ /// \brief Add a new edge to the graph.
+ ///
+ /// Add a new edge to the graph with node \c u
+ /// and node \c v endpoints.
+ /// \return The new edge.
+ Edge addEdge(const Node& u, const Node& v) {
+ return Parent::addEdge(u, v);
+ }
+
+ /// \brief Erase an edge from the graph.
+ ///
+ /// Erase the edge \c e from the graph.
+ void erase(const Edge& e) {
+ return Parent::erase(e);
+ }
+
+ };
+
+ template <typename GR>
+ class SmartArcSetBase {
+ public:
+
+ typedef typename GR::Node Node;
+ typedef typename GR::NodeIt NodeIt;
+
+ protected:
+
+ struct NodeT {
+ int first_out, first_in;
+ NodeT() : first_out(-1), first_in(-1) {}
+ };
+
+ typedef typename ItemSetTraits<GR, Node>::
+ template Map<NodeT>::Type NodesImplBase;
+
+ NodesImplBase* _nodes;
+
+ struct ArcT {
+ Node source, target;
+ int next_out, next_in;
+ ArcT() {}
+ };
+
+ std::vector<ArcT> arcs;
+
+ const GR* _graph;
+
+ void initalize(const GR& graph, NodesImplBase& nodes) {
+ _graph = &graph;
+ _nodes = &nodes;
+ }
+
+ public:
+
+ class Arc {
+ friend class SmartArcSetBase<GR>;
+ protected:
+ Arc(int _id) : id(_id) {}
+ int id;
+ public:
+ 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; }
+ };
+
+ SmartArcSetBase() {}
+
+ Node addNode() {
+ LEMON_ASSERT(false,
+ "This graph structure does not support node insertion");
+ return INVALID; // avoid warning
+ }
+
+ Arc addArc(const Node& u, const Node& v) {
+ int n = arcs.size();
+ arcs.push_back(ArcT());
+ arcs[n].next_in = (*_nodes)[v].first_in;
+ (*_nodes)[v].first_in = n;
+ arcs[n].next_out = (*_nodes)[u].first_out;
+ (*_nodes)[u].first_out = n;
+ arcs[n].source = u;
+ arcs[n].target = v;
+ return Arc(n);
+ }
+
+ void clear() {
+ Node node;
+ for (first(node); node != INVALID; next(node)) {
+ (*_nodes)[node].first_in = -1;
+ (*_nodes)[node].first_out = -1;
+ }
+ arcs.clear();
+ }
+
+ void first(Node& node) const {
+ _graph->first(node);
+ }
+
+ void next(Node& node) const {
+ _graph->next(node);
+ }
+
+ void first(Arc& arc) const {
+ arc.id = arcs.size() - 1;
+ }
+
+ static void next(Arc& arc) {
+ --arc.id;
+ }
+
+ void firstOut(Arc& arc, const Node& node) const {
+ arc.id = (*_nodes)[node].first_out;
+ }
+
+ void nextOut(Arc& arc) const {
+ arc.id = arcs[arc.id].next_out;
+ }
+
+ void firstIn(Arc& arc, const Node& node) const {
+ arc.id = (*_nodes)[node].first_in;
+ }
+
+ void nextIn(Arc& arc) const {
+ arc.id = arcs[arc.id].next_in;
+ }
+
+ int id(const Node& node) const { return _graph->id(node); }
+ int id(const Arc& arc) const { return arc.id; }
+
+ Node nodeFromId(int ix) const { return _graph->nodeFromId(ix); }
+ Arc arcFromId(int ix) const { return Arc(ix); }
+
+ int maxNodeId() const { return _graph->maxNodeId(); };
+ int maxArcId() const { return arcs.size() - 1; }
+
+ Node source(const Arc& arc) const { return arcs[arc.id].source;}
+ Node target(const Arc& arc) const { return arcs[arc.id].target;}
+
+ typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier;
+
+ NodeNotifier& notifier(Node) const {
+ return _graph->notifier(Node());
+ }
+
+ template <typename V>
+ class NodeMap : public GR::template NodeMap<V> {
+ typedef typename GR::template NodeMap<V> Parent;
+
+ public:
+
+ explicit NodeMap(const SmartArcSetBase<GR>& arcset)
+ : Parent(*arcset._graph) { }
+
+ NodeMap(const SmartArcSetBase<GR>& arcset, const V& value)
+ : Parent(*arcset._graph, value) { }
+
+ NodeMap& operator=(const NodeMap& cmap) {
+ return operator=<NodeMap>(cmap);
+ }
+
+ template <typename CMap>
+ NodeMap& operator=(const CMap& cmap) {
+ Parent::operator=(cmap);
+ return *this;
+ }
+ };
+
+ };
+
+
+ /// \ingroup graphs
+ ///
+ /// \brief Digraph using a node set of another digraph or graph and
+ /// an own arc set.
+ ///
+ /// This structure can be used to establish another directed graph
+ /// over a node set of an existing one. This class uses the same
+ /// Node type as the underlying graph, and each valid node of the
+ /// original graph is valid in this arc set, therefore the node
+ /// objects of the original graph can be used directly with this
+ /// class. The node handling functions (id handling, observing, and
+ /// iterators) works equivalently as in the original graph.
+ ///
+ /// \param GR The type of the graph which shares its node set with
+ /// this class. Its interface must conform to the
+ /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph"
+ /// concept.
+ ///
+ /// This implementation is slightly faster than the \c ListArcSet,
+ /// because it uses continuous storage for arcs and it uses just
+ /// single-linked lists for enumerate outgoing and incoming
+ /// arcs. Therefore the arcs cannot be erased from the arc sets.
+ ///
+ /// This class fully conforms to the \ref concepts::Digraph "Digraph"
+ /// concept.
+ /// It provides only linear time counting for nodes and arcs.
+ ///
+ /// \warning If a node is erased from the underlying graph and this
+ /// node is the source or target of one arc in the arc set, then
+ /// the arc set is invalidated, and it cannot be used anymore. The
+ /// validity can be checked with the \c valid() member function.
+ template <typename GR>
+ class SmartArcSet : public ArcSetExtender<SmartArcSetBase<GR> > {
+ typedef ArcSetExtender<SmartArcSetBase<GR> > Parent;
+
+ public:
+
+ typedef typename Parent::Node Node;
+ typedef typename Parent::Arc Arc;
+
+ protected:
+
+ typedef typename Parent::NodesImplBase NodesImplBase;
+
+ void eraseNode(const Node& node) {
+ if (typename Parent::InArcIt(*this, node) == INVALID &&
+ typename Parent::OutArcIt(*this, node) == INVALID) {
+ return;
+ }
+ throw typename NodesImplBase::Notifier::ImmediateDetach();
+ }
+
+ void clearNodes() {
+ Parent::clear();
+ }
+
+ class NodesImpl : public NodesImplBase {
+ typedef NodesImplBase Parent;
+
+ public:
+ NodesImpl(const GR& graph, SmartArcSet& arcset)
+ : Parent(graph), _arcset(arcset) {}
+
+ virtual ~NodesImpl() {}
+
+ bool attached() const {
+ return Parent::attached();
+ }
+
+ protected:
+
+ virtual void erase(const Node& node) {
+ try {
+ _arcset.eraseNode(node);
+ Parent::erase(node);
+ } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) {
+ Parent::clear();
+ throw;
+ }
+ }
+ virtual void erase(const std::vector<Node>& nodes) {
+ try {
+ for (int i = 0; i < int(nodes.size()); ++i) {
+ _arcset.eraseNode(nodes[i]);
+ }
+ Parent::erase(nodes);
+ } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) {
+ Parent::clear();
+ throw;
+ }
+ }
+ virtual void clear() {
+ _arcset.clearNodes();
+ Parent::clear();
+ }
+
+ private:
+ SmartArcSet& _arcset;
+ };
+
+ NodesImpl _nodes;
+
+ public:
+
+ /// \brief Constructor of the ArcSet.
+ ///
+ /// Constructor of the ArcSet.
+ SmartArcSet(const GR& graph) : _nodes(graph, *this) {
+ Parent::initalize(graph, _nodes);
+ }
+
+ /// \brief Add a new arc to the digraph.
+ ///
+ /// Add a new arc to the digraph with source node \c s
+ /// and target node \c t.
+ /// \return The new arc.
+ Arc addArc(const Node& s, const Node& t) {
+ return Parent::addArc(s, t);
+ }
+
+ /// \brief Validity check
+ ///
+ /// This functions gives back false if the ArcSet is
+ /// invalidated. It occurs when a node in the underlying graph is
+ /// erased and it is not isolated in the ArcSet.
+ bool valid() const {
+ return _nodes.attached();
+ }
+
+ };
+
+
+ template <typename GR>
+ class SmartEdgeSetBase {
+ public:
+
+ typedef typename GR::Node Node;
+ typedef typename GR::NodeIt NodeIt;
+
+ protected:
+
+ struct NodeT {
+ int first_out;
+ NodeT() : first_out(-1) {}
+ };
+
+ typedef typename ItemSetTraits<GR, Node>::
+ template Map<NodeT>::Type NodesImplBase;
+
+ NodesImplBase* _nodes;
+
+ struct ArcT {
+ Node target;
+ int next_out;
+ ArcT() {}
+ };
+
+ std::vector<ArcT> arcs;
+
+ const GR* _graph;
+
+ void initalize(const GR& graph, NodesImplBase& nodes) {
+ _graph = &graph;
+ _nodes = &nodes;
+ }
+
+ public:
+
+ class Edge {
+ friend class SmartEdgeSetBase;
+ 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 SmartEdgeSetBase;
+ protected:
+ Arc(int _id) : id(_id) {}
+ int id;
+ public:
+ operator Edge() const { return edgeFromId(id / 2); }
+
+ 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; }
+ };
+
+ SmartEdgeSetBase() {}
+
+ Node addNode() {
+ LEMON_ASSERT(false,
+ "This graph structure does not support node insertion");
+ return INVALID; // avoid warning
+ }
+
+ Edge addEdge(const Node& u, const Node& v) {
+ int n = arcs.size();
+ arcs.push_back(ArcT());
+ arcs.push_back(ArcT());
+
+ arcs[n].target = u;
+ arcs[n | 1].target = v;
+
+ arcs[n].next_out = (*_nodes)[v].first_out;
+ (*_nodes)[v].first_out = n;
+
+ arcs[n | 1].next_out = (*_nodes)[u].first_out;
+ (*_nodes)[u].first_out = (n | 1);
+
+ return Edge(n / 2);
+ }
+
+ void clear() {
+ Node node;
+ for (first(node); node != INVALID; next(node)) {
+ (*_nodes)[node].first_out = -1;
+ }
+ arcs.clear();
+ }
+
+ void first(Node& node) const {
+ _graph->first(node);
+ }
+
+ void next(Node& node) const {
+ _graph->next(node);
+ }
+
+ 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& node) const {
+ arc.id = (*_nodes)[node].first_out;
+ }
+
+ void nextOut(Arc& arc) const {
+ arc.id = arcs[arc.id].next_out;
+ }
+
+ void firstIn(Arc& arc, const Node& node) const {
+ arc.id = (((*_nodes)[node].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& dir, const Node& node) const {
+ int de = (*_nodes)[node].first_out;
+ if (de != -1 ) {
+ arc.id = de / 2;
+ dir = ((de & 1) == 1);
+ } else {
+ arc.id = -1;
+ dir = true;
+ }
+ }
+ void nextInc(Edge &arc, bool& dir) const {
+ int de = (arcs[(arc.id * 2) | (dir ? 1 : 0)].next_out);
+ if (de != -1 ) {
+ arc.id = de / 2;
+ dir = ((de & 1) == 1);
+ } else {
+ arc.id = -1;
+ dir = true;
+ }
+ }
+
+ static bool direction(Arc arc) {
+ return (arc.id & 1) == 1;
+ }
+
+ static Arc direct(Edge edge, bool dir) {
+ return Arc(edge.id * 2 + (dir ? 1 : 0));
+ }
+
+ int id(Node node) const { return _graph->id(node); }
+ static int id(Arc arc) { return arc.id; }
+ static int id(Edge arc) { return arc.id; }
+
+ Node nodeFromId(int id) const { return _graph->nodeFromId(id); }
+ static Arc arcFromId(int id) { return Arc(id); }
+ static Edge edgeFromId(int id) { return Edge(id);}
+
+ int maxNodeId() const { return _graph->maxNodeId(); };
+ int maxArcId() const { return arcs.size() - 1; }
+ int maxEdgeId() const { return arcs.size() / 2 - 1; }
+
+ Node source(Arc e) const { return arcs[e.id ^ 1].target; }
+ Node target(Arc e) const { return arcs[e.id].target; }
+
+ Node u(Edge e) const { return arcs[2 * e.id].target; }
+ Node v(Edge e) const { return arcs[2 * e.id + 1].target; }
+
+ typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier;
+
+ NodeNotifier& notifier(Node) const {
+ return _graph->notifier(Node());
+ }
+
+ template <typename V>
+ class NodeMap : public GR::template NodeMap<V> {
+ typedef typename GR::template NodeMap<V> Parent;
+
+ public:
+
+ explicit NodeMap(const SmartEdgeSetBase<GR>& arcset)
+ : Parent(*arcset._graph) { }
+
+ NodeMap(const SmartEdgeSetBase<GR>& arcset, const V& value)
+ : Parent(*arcset._graph, value) { }
+
+ NodeMap& operator=(const NodeMap& cmap) {
+ return operator=<NodeMap>(cmap);
+ }
+
+ template <typename CMap>
+ NodeMap& operator=(const CMap& cmap) {
+ Parent::operator=(cmap);
+ return *this;
+ }
+ };
+
+ };
+
+ /// \ingroup graphs
+ ///
+ /// \brief Graph using a node set of another digraph or graph and an
+ /// own edge set.
+ ///
+ /// This structure can be used to establish another graph over a
+ /// node set of an existing one. This class uses the same Node type
+ /// as the underlying graph, and each valid node of the original
+ /// graph is valid in this arc set, therefore the node objects of
+ /// the original graph can be used directly with this class. The
+ /// node handling functions (id handling, observing, and iterators)
+ /// works equivalently as in the original graph.
+ ///
+ /// \param GR The type of the graph which shares its node set
+ /// with this class. Its interface must conform to the
+ /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph"
+ /// concept.
+ ///
+ /// This implementation is slightly faster than the \c ListEdgeSet,
+ /// because it uses continuous storage for edges and it uses just
+ /// single-linked lists for enumerate incident edges. Therefore the
+ /// edges cannot be erased from the edge sets.
+ ///
+ /// This class fully conforms to the \ref concepts::Graph "Graph"
+ /// concept.
+ /// It provides only linear time counting for nodes, edges and arcs.
+ ///
+ /// \warning If a node is erased from the underlying graph and this
+ /// node is incident to one edge in the edge set, then the edge set
+ /// is invalidated, and it cannot be used anymore. The validity can
+ /// be checked with the \c valid() member function.
+ template <typename GR>
+ class SmartEdgeSet : public EdgeSetExtender<SmartEdgeSetBase<GR> > {
+ typedef EdgeSetExtender<SmartEdgeSetBase<GR> > Parent;
+
+ public:
+
+ typedef typename Parent::Node Node;
+ typedef typename Parent::Arc Arc;
+ typedef typename Parent::Edge Edge;
+
+ protected:
+
+ typedef typename Parent::NodesImplBase NodesImplBase;
+
+ void eraseNode(const Node& node) {
+ if (typename Parent::IncEdgeIt(*this, node) == INVALID) {
+ return;
+ }
+ throw typename NodesImplBase::Notifier::ImmediateDetach();
+ }
+
+ void clearNodes() {
+ Parent::clear();
+ }
+
+ class NodesImpl : public NodesImplBase {
+ typedef NodesImplBase Parent;
+
+ public:
+ NodesImpl(const GR& graph, SmartEdgeSet& arcset)
+ : Parent(graph), _arcset(arcset) {}
+
+ virtual ~NodesImpl() {}
+
+ bool attached() const {
+ return Parent::attached();
+ }
+
+ protected:
+
+ virtual void erase(const Node& node) {
+ try {
+ _arcset.eraseNode(node);
+ Parent::erase(node);
+ } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) {
+ Parent::clear();
+ throw;
+ }
+ }
+ virtual void erase(const std::vector<Node>& nodes) {
+ try {
+ for (int i = 0; i < int(nodes.size()); ++i) {
+ _arcset.eraseNode(nodes[i]);
+ }
+ Parent::erase(nodes);
+ } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) {
+ Parent::clear();
+ throw;
+ }
+ }
+ virtual void clear() {
+ _arcset.clearNodes();
+ Parent::clear();
+ }
+
+ private:
+ SmartEdgeSet& _arcset;
+ };
+
+ NodesImpl _nodes;
+
+ public:
+
+ /// \brief Constructor of the EdgeSet.
+ ///
+ /// Constructor of the EdgeSet.
+ SmartEdgeSet(const GR& graph) : _nodes(graph, *this) {
+ Parent::initalize(graph, _nodes);
+ }
+
+ /// \brief Add a new edge to the graph.
+ ///
+ /// Add a new edge to the graph with node \c u
+ /// and node \c v endpoints.
+ /// \return The new edge.
+ Edge addEdge(const Node& u, const Node& v) {
+ return Parent::addEdge(u, v);
+ }
+
+ /// \brief Validity check
+ ///
+ /// This functions gives back false if the EdgeSet is
+ /// invalidated. It occurs when a node in the underlying graph is
+ /// erased and it is not isolated in the EdgeSet.
+ bool valid() const {
+ return _nodes.attached();
+ }
+
+ };
+
+}
+
+#endif