diff -r 4c89e925cfe2 -r 5ef0ab7b61cd lemon/full_graph.h --- a/lemon/full_graph.h Sun Nov 14 20:06:23 2010 +0100 +++ b/lemon/full_graph.h Sun Nov 14 22:48:32 2010 +0100 @@ -621,6 +621,436 @@ }; + class FullBpGraphBase { + + protected: + + int _red_num, _blue_num; + int _node_num, _edge_num; + + public: + + typedef FullBpGraphBase Graph; + + class Node; + class Arc; + class Edge; + + class Node { + friend class FullBpGraphBase; + 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 Edge { + friend class FullBpGraphBase; + 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 FullBpGraphBase; + 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;} + }; + + + protected: + + FullBpGraphBase() + : _red_num(0), _blue_num(0), _node_num(0), _edge_num(0) {} + + void construct(int redNum, int blueNum) { + _red_num = redNum; _blue_num = blueNum; + _node_num = redNum + blueNum; _edge_num = redNum * blueNum; + } + + public: + + typedef True NodeNumTag; + typedef True EdgeNumTag; + typedef True ArcNumTag; + + int nodeNum() const { return _node_num; } + int redNum() const { return _red_num; } + int blueNum() const { return _blue_num; } + int edgeNum() const { return _edge_num; } + int arcNum() const { return 2 * _edge_num; } + + int maxNodeId() const { return _node_num - 1; } + int maxRedId() const { return _red_num - 1; } + int maxBlueId() const { return _blue_num - 1; } + int maxEdgeId() const { return _edge_num - 1; } + int maxArcId() const { return 2 * _edge_num - 1; } + + bool red(Node n) const { return n._id < _red_num; } + bool blue(Node n) const { return n._id >= _red_num; } + + Node source(Arc a) const { + if (a._id & 1) { + return Node((a._id >> 1) % _red_num); + } else { + return Node((a._id >> 1) / _red_num + _red_num); + } + } + Node target(Arc a) const { + if (a._id & 1) { + return Node((a._id >> 1) / _red_num + _red_num); + } else { + return Node((a._id >> 1) % _red_num); + } + } + + Node redNode(Edge e) const { + return Node(e._id % _red_num); + } + Node blueNode(Edge e) const { + return Node(e._id / _red_num + _red_num); + } + + 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 = _node_num - 1; + } + + static void next(Node& node) { + --node._id; + } + + void firstRed(Node& node) const { + node._id = _red_num - 1; + } + + static void nextRed(Node& node) { + --node._id; + } + + void firstBlue(Node& node) const { + if (_red_num == _node_num) node._id = -1; + else node._id = _node_num - 1; + } + + void nextBlue(Node& node) const { + if (node._id == _red_num) node._id = -1; + else --node._id; + } + + void first(Arc& arc) const { + arc._id = 2 * _edge_num - 1; + } + + static void next(Arc& arc) { + --arc._id; + } + + void first(Edge& arc) const { + arc._id = _edge_num - 1; + } + + static void next(Edge& arc) { + --arc._id; + } + + void firstOut(Arc &a, const Node& v) const { + if (v._id < _red_num) { + a._id = 2 * (v._id + _red_num * (_blue_num - 1)) + 1; + } else { + a._id = 2 * (_red_num - 1 + _red_num * (v._id - _red_num)); + } + } + void nextOut(Arc &a) const { + if (a._id & 1) { + a._id -= 2 * _red_num; + if (a._id < 0) a._id = -1; + } else { + if (a._id % (2 * _red_num) == 0) a._id = -1; + else a._id -= 2; + } + } + + void firstIn(Arc &a, const Node& v) const { + if (v._id < _red_num) { + a._id = 2 * (v._id + _red_num * (_blue_num - 1)); + } else { + a._id = 2 * (_red_num - 1 + _red_num * (v._id - _red_num)) + 1; + } + } + void nextIn(Arc &a) const { + if (a._id & 1) { + if (a._id % (2 * _red_num) == 1) a._id = -1; + else a._id -= 2; + } else { + a._id -= 2 * _red_num; + if (a._id < 0) a._id = -1; + } + } + + void firstInc(Edge &e, bool& d, const Node& v) const { + if (v._id < _red_num) { + d = true; + e._id = v._id + _red_num * (_blue_num - 1); + } else { + d = false; + e._id = _red_num - 1 + _red_num * (v._id - _red_num); + } + } + void nextInc(Edge &e, bool& d) const { + if (d) { + e._id -= _red_num; + if (e._id < 0) e._id = -1; + } else { + if (e._id % _red_num == 0) e._id = -1; + else --e._id; + } + } + + static int id(Node v) { return v._id; } + int redId(Node v) const { + LEMON_DEBUG(v._id < _red_num, "Node has to be red"); + return v._id; + } + int blueId(Node v) const { + LEMON_DEBUG(v._id >= _red_num, "Node has to be blue"); + return v._id - _red_num; + } + 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 < _node_num; + } + bool valid(Arc a) const { + return a._id >= 0 && a._id < 2 * _edge_num; + } + bool valid(Edge e) const { + return e._id >= 0 && e._id < _edge_num; + } + + Node redNode(int index) const { + return Node(index); + } + + int redIndex(Node n) const { + return n._id; + } + + Node blueNode(int index) const { + return Node(index + _red_num); + } + + int blueIndex(Node n) const { + return n._id - _red_num; + } + + void clear() { + _red_num = 0; _blue_num = 0; + _node_num = 0; _edge_num = 0; + } + + Edge edge(const Node& u, const Node& v) const { + if (u._id < _red_num) { + if (v._id < _red_num) { + return Edge(-1); + } else { + return Edge(u._id + _red_num * (v._id - _red_num)); + } + } else { + if (v._id < _red_num) { + return Edge(v._id + _red_num * (u._id - _red_num)); + } else { + return Edge(-1); + } + } + } + + Arc arc(const Node& u, const Node& v) const { + if (u._id < _red_num) { + if (v._id < _red_num) { + return Arc(-1); + } else { + return Arc(2 * (u._id + _red_num * (v._id - _red_num)) + 1); + } + } else { + if (v._id < _red_num) { + return Arc(2 * (v._id + _red_num * (u._id - _red_num))); + } else { + return Arc(-1); + } + } + } + + typedef True FindEdgeTag; + typedef True FindArcTag; + + Edge findEdge(Node u, Node v, Edge prev = INVALID) const { + return prev != INVALID ? INVALID : edge(u, v); + } + + Arc findArc(Node s, Node t, Arc prev = INVALID) const { + return prev != INVALID ? INVALID : arc(s, t); + } + + }; + + typedef BpGraphExtender ExtendedFullBpGraphBase; + + /// \ingroup graphs + /// + /// \brief An undirected full bipartite graph class. + /// + /// FullBpGraph is a simple and fast implmenetation of undirected + /// full bipartite graphs. It contains an edge between every + /// red-blue pairs of nodes, therefore the number of edges is + /// nr*nb. This class is completely static and it needs + /// constant memory space. Thus you can neither add nor delete + /// nodes or edges, however the structure can be resized using + /// resize(). + /// + /// This type fully conforms to the \ref concepts::BpGraph "BpGraph concept". + /// 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 FullGraph + class FullBpGraph : public ExtendedFullBpGraphBase { + public: + + typedef ExtendedFullBpGraphBase Parent; + + /// \brief Default constructor. + /// + /// Default constructor. The number of nodes and edges will be zero. + FullBpGraph() { construct(0, 0); } + + /// \brief Constructor + /// + /// Constructor. + /// \param redNum The number of the red nodes. + /// \param blueNum The number of the blue nodes. + FullBpGraph(int redNum, int blueNum) { construct(redNum, blueNum); } + + /// \brief Resizes the graph + /// + /// This function resizes the graph. It fully destroys and + /// rebuilds the structure, therefore the maps of the graph will be + /// reallocated automatically and the previous values will be lost. + void resize(int redNum, int blueNum) { + Parent::notifier(Arc()).clear(); + Parent::notifier(Edge()).clear(); + Parent::notifier(Node()).clear(); + Parent::notifier(BlueNode()).clear(); + Parent::notifier(RedNode()).clear(); + construct(redNum, blueNum); + Parent::notifier(RedNode()).build(); + Parent::notifier(BlueNode()).build(); + Parent::notifier(Node()).build(); + Parent::notifier(Edge()).build(); + Parent::notifier(Arc()).build(); + } + + /// \brief Returns the red node with the given index. + /// + /// Returns the red node with the given index. Since this + /// structure is completely static, the red nodes can be indexed + /// with integers from the range [0..redNum()-1]. + /// \sa redIndex() + Node redNode(int index) const { return Parent::redNode(index); } + + /// \brief Returns the index of the given red node. + /// + /// Returns the index of the given red node. Since this structure + /// is completely static, the red nodes can be indexed with + /// integers from the range [0..redNum()-1]. + /// + /// \sa operator()() + int redIndex(Node node) const { return Parent::redIndex(node); } + + /// \brief Returns the blue node with the given index. + /// + /// Returns the blue node with the given index. Since this + /// structure is completely static, the blue nodes can be indexed + /// with integers from the range [0..blueNum()-1]. + /// \sa blueIndex() + Node blueNode(int index) const { return Parent::blueNode(index); } + + /// \brief Returns the index of the given blue node. + /// + /// Returns the index of the given blue node. Since this structure + /// is completely static, the blue nodes can be indexed with + /// integers from the range [0..blueNum()-1]. + /// + /// \sa operator()() + int blueIndex(Node node) const { return Parent::blueIndex(node); } + + /// \brief Returns the edge which connects the given nodes. + /// + /// Returns the edge which connects the given nodes. + Edge edge(const Node& u, const Node& v) const { + return Parent::edge(u, v); + } + + /// \brief Returns the arc which connects the given nodes. + /// + /// Returns the arc which connects the given nodes. + Arc arc(const Node& u, const Node& v) const { + return Parent::arc(u, v); + } + + /// \brief Number of nodes. + int nodeNum() const { return Parent::nodeNum(); } + /// \brief Number of red nodes. + int redNum() const { return Parent::redNum(); } + /// \brief Number of blue nodes. + int blueNum() const { return Parent::blueNum(); } + /// \brief Number of arcs. + int arcNum() const { return Parent::arcNum(); } + /// \brief Number of edges. + int edgeNum() const { return Parent::edgeNum(); } + }; + } //namespace lemon