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+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2010
+ * 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_STATIC_GRAPH_H
+#define LEMON_STATIC_GRAPH_H
+
+///\ingroup graphs
+///\file
+///\brief StaticDigraph class.
+
+#include <lemon/core.h>
+#include <lemon/bits/graph_extender.h>
+
+namespace lemon {
+
+ class StaticDigraphBase {
+ public:
+
+ StaticDigraphBase()
+ : built(false), node_num(0), arc_num(0),
+ node_first_out(NULL), node_first_in(NULL),
+ arc_source(NULL), arc_target(NULL),
+ arc_next_in(NULL), arc_next_out(NULL) {}
+
+ ~StaticDigraphBase() {
+ if (built) {
+ delete[] node_first_out;
+ delete[] node_first_in;
+ delete[] arc_source;
+ delete[] arc_target;
+ delete[] arc_next_out;
+ delete[] arc_next_in;
+ }
+ }
+
+ class Node {
+ friend class StaticDigraphBase;
+ protected:
+ int id;
+ 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 Arc {
+ friend class StaticDigraphBase;
+ protected:
+ int id;
+ Arc(int _id) : id(_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; }
+ };
+
+ Node source(const Arc& e) const { return Node(arc_source[e.id]); }
+ Node target(const Arc& e) const { return Node(arc_target[e.id]); }
+
+ void first(Node& n) const { n.id = node_num - 1; }
+ static void next(Node& n) { --n.id; }
+
+ void first(Arc& e) const { e.id = arc_num - 1; }
+ static void next(Arc& e) { --e.id; }
+
+ void firstOut(Arc& e, const Node& n) const {
+ e.id = node_first_out[n.id] != node_first_out[n.id + 1] ?
+ node_first_out[n.id] : -1;
+ }
+ void nextOut(Arc& e) const { e.id = arc_next_out[e.id]; }
+
+ void firstIn(Arc& e, const Node& n) const { e.id = node_first_in[n.id]; }
+ void nextIn(Arc& e) const { e.id = arc_next_in[e.id]; }
+
+ static int id(const Node& n) { return n.id; }
+ static Node nodeFromId(int id) { return Node(id); }
+ int maxNodeId() const { return node_num - 1; }
+
+ static int id(const Arc& e) { return e.id; }
+ static Arc arcFromId(int id) { return Arc(id); }
+ int maxArcId() const { return arc_num - 1; }
+
+ typedef True NodeNumTag;
+ typedef True ArcNumTag;
+
+ int nodeNum() const { return node_num; }
+ int arcNum() const { return arc_num; }
+
+ private:
+
+ template <typename Digraph, typename NodeRefMap>
+ class ArcLess {
+ public:
+ typedef typename Digraph::Arc Arc;
+
+ ArcLess(const Digraph &_graph, const NodeRefMap& _nodeRef)
+ : digraph(_graph), nodeRef(_nodeRef) {}
+
+ bool operator()(const Arc& left, const Arc& right) const {
+ return nodeRef[digraph.target(left)] < nodeRef[digraph.target(right)];
+ }
+ private:
+ const Digraph& digraph;
+ const NodeRefMap& nodeRef;
+ };
+
+ public:
+
+ typedef True BuildTag;
+
+ void clear() {
+ if (built) {
+ delete[] node_first_out;
+ delete[] node_first_in;
+ delete[] arc_source;
+ delete[] arc_target;
+ delete[] arc_next_out;
+ delete[] arc_next_in;
+ }
+ built = false;
+ node_num = 0;
+ arc_num = 0;
+ }
+
+ template <typename Digraph, typename NodeRefMap, typename ArcRefMap>
+ void build(const Digraph& digraph, NodeRefMap& nodeRef, ArcRefMap& arcRef) {
+ typedef typename Digraph::Node GNode;
+ typedef typename Digraph::Arc GArc;
+
+ built = true;
+
+ node_num = countNodes(digraph);
+ arc_num = countArcs(digraph);
+
+ node_first_out = new int[node_num + 1];
+ node_first_in = new int[node_num];
+
+ arc_source = new int[arc_num];
+ arc_target = new int[arc_num];
+ arc_next_out = new int[arc_num];
+ arc_next_in = new int[arc_num];
+
+ int node_index = 0;
+ for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) {
+ nodeRef[n] = Node(node_index);
+ node_first_in[node_index] = -1;
+ ++node_index;
+ }
+
+ ArcLess<Digraph, NodeRefMap> arcLess(digraph, nodeRef);
+
+ int arc_index = 0;
+ for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) {
+ int source = nodeRef[n].id;
+ std::vector<GArc> arcs;
+ for (typename Digraph::OutArcIt e(digraph, n); e != INVALID; ++e) {
+ arcs.push_back(e);
+ }
+ if (!arcs.empty()) {
+ node_first_out[source] = arc_index;
+ std::sort(arcs.begin(), arcs.end(), arcLess);
+ for (typename std::vector<GArc>::iterator it = arcs.begin();
+ it != arcs.end(); ++it) {
+ int target = nodeRef[digraph.target(*it)].id;
+ arcRef[*it] = Arc(arc_index);
+ arc_source[arc_index] = source;
+ arc_target[arc_index] = target;
+ arc_next_in[arc_index] = node_first_in[target];
+ node_first_in[target] = arc_index;
+ arc_next_out[arc_index] = arc_index + 1;
+ ++arc_index;
+ }
+ arc_next_out[arc_index - 1] = -1;
+ } else {
+ node_first_out[source] = arc_index;
+ }
+ }
+ node_first_out[node_num] = arc_num;
+ }
+
+ template <typename ArcListIterator>
+ void build(int n, ArcListIterator first, ArcListIterator last) {
+ built = true;
+
+ node_num = n;
+ arc_num = std::distance(first, last);
+
+ node_first_out = new int[node_num + 1];
+ node_first_in = new int[node_num];
+
+ arc_source = new int[arc_num];
+ arc_target = new int[arc_num];
+ arc_next_out = new int[arc_num];
+ arc_next_in = new int[arc_num];
+
+ for (int i = 0; i != node_num; ++i) {
+ node_first_in[i] = -1;
+ }
+
+ int arc_index = 0;
+ for (int i = 0; i != node_num; ++i) {
+ node_first_out[i] = arc_index;
+ for ( ; first != last && (*first).first == i; ++first) {
+ int j = (*first).second;
+ LEMON_ASSERT(j >= 0 && j < node_num,
+ "Wrong arc list for StaticDigraph::build()");
+ arc_source[arc_index] = i;
+ arc_target[arc_index] = j;
+ arc_next_in[arc_index] = node_first_in[j];
+ node_first_in[j] = arc_index;
+ arc_next_out[arc_index] = arc_index + 1;
+ ++arc_index;
+ }
+ if (arc_index > node_first_out[i])
+ arc_next_out[arc_index - 1] = -1;
+ }
+ LEMON_ASSERT(first == last,
+ "Wrong arc list for StaticDigraph::build()");
+ node_first_out[node_num] = arc_num;
+ }
+
+ protected:
+
+ void fastFirstOut(Arc& e, const Node& n) const {
+ e.id = node_first_out[n.id];
+ }
+
+ static void fastNextOut(Arc& e) {
+ ++e.id;
+ }
+ void fastLastOut(Arc& e, const Node& n) const {
+ e.id = node_first_out[n.id + 1];
+ }
+
+ protected:
+ bool built;
+ int node_num;
+ int arc_num;
+ int *node_first_out;
+ int *node_first_in;
+ int *arc_source;
+ int *arc_target;
+ int *arc_next_in;
+ int *arc_next_out;
+ };
+
+ typedef DigraphExtender<StaticDigraphBase> ExtendedStaticDigraphBase;
+
+
+ /// \ingroup graphs
+ ///
+ /// \brief A static directed graph class.
+ ///
+ /// \ref StaticDigraph is a highly efficient digraph implementation,
+ /// but it is fully static.
+ /// It stores only two \c int values for each node and only four \c int
+ /// values for each arc. Moreover it provides faster item iteration than
+ /// \ref ListDigraph and \ref SmartDigraph, especially using \c OutArcIt
+ /// iterators, since its arcs are stored in an appropriate order.
+ /// However it only provides build() and clear() functions and does not
+ /// support any other modification of the digraph.
+ ///
+ /// Since this digraph structure is completely static, its nodes and arcs
+ /// can be indexed with integers from the ranges <tt>[0..nodeNum()-1]</tt>
+ /// and <tt>[0..arcNum()-1]</tt>, respectively.
+ /// The index of an item is the same as its ID, it can be obtained
+ /// using the corresponding \ref index() or \ref concepts::Digraph::id()
+ /// "id()" function. A node or arc with a certain index can be obtained
+ /// using node() or arc().
+ ///
+ /// This type fully conforms to the \ref concepts::Digraph "Digraph concept".
+ /// Most of its member functions and nested classes are documented
+ /// only in the concept class.
+ ///
+ /// This class provides constant time counting for nodes and arcs.
+ ///
+ /// \sa concepts::Digraph
+ class StaticDigraph : public ExtendedStaticDigraphBase {
+ public:
+
+ typedef ExtendedStaticDigraphBase Parent;
+
+ public:
+
+ /// \brief Constructor
+ ///
+ /// Default constructor.
+ StaticDigraph() : Parent() {}
+
+ /// \brief The node with the given index.
+ ///
+ /// This function returns the node with the given index.
+ /// \sa index()
+ static Node node(int ix) { return Parent::nodeFromId(ix); }
+
+ /// \brief The arc with the given index.
+ ///
+ /// This function returns the arc with the given index.
+ /// \sa index()
+ static Arc arc(int ix) { return Parent::arcFromId(ix); }
+
+ /// \brief The index of the given node.
+ ///
+ /// This function returns the index of the the given node.
+ /// \sa node()
+ static int index(Node node) { return Parent::id(node); }
+
+ /// \brief The index of the given arc.
+ ///
+ /// This function returns the index of the the given arc.
+ /// \sa arc()
+ static int index(Arc arc) { return Parent::id(arc); }
+
+ /// \brief Number of nodes.
+ ///
+ /// This function returns the number of nodes.
+ int nodeNum() const { return node_num; }
+
+ /// \brief Number of arcs.
+ ///
+ /// This function returns the number of arcs.
+ int arcNum() const { return arc_num; }
+
+ /// \brief Build the digraph copying another digraph.
+ ///
+ /// This function builds the digraph copying another digraph of any
+ /// kind. It can be called more than once, but in such case, the whole
+ /// structure and all maps will be cleared and rebuilt.
+ ///
+ /// This method also makes possible to copy a digraph to a StaticDigraph
+ /// structure using \ref DigraphCopy.
+ ///
+ /// \param digraph An existing digraph to be copied.
+ /// \param nodeRef The node references will be copied into this map.
+ /// Its key type must be \c Digraph::Node and its value type must be
+ /// \c StaticDigraph::Node.
+ /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap"
+ /// concept.
+ /// \param arcRef The arc references will be copied into this map.
+ /// Its key type must be \c Digraph::Arc and its value type must be
+ /// \c StaticDigraph::Arc.
+ /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
+ ///
+ /// \note If you do not need the arc references, then you could use
+ /// \ref NullMap for the last parameter. However the node references
+ /// are required by the function itself, thus they must be readable
+ /// from the map.
+ template <typename Digraph, typename NodeRefMap, typename ArcRefMap>
+ void build(const Digraph& digraph, NodeRefMap& nodeRef, ArcRefMap& arcRef) {
+ if (built) Parent::clear();
+ Parent::build(digraph, nodeRef, arcRef);
+ }
+
+ /// \brief Build the digraph from an arc list.
+ ///
+ /// This function builds the digraph from the given arc list.
+ /// It can be called more than once, but in such case, the whole
+ /// structure and all maps will be cleared and rebuilt.
+ ///
+ /// The list of the arcs must be given in the range <tt>[begin, end)</tt>
+ /// specified by STL compatible itartors whose \c value_type must be
+ /// <tt>std::pair<int,int></tt>.
+ /// Each arc must be specified by a pair of integer indices
+ /// from the range <tt>[0..n-1]</tt>. <i>The pairs must be in a
+ /// non-decreasing order with respect to their first values.</i>
+ /// If the k-th pair in the list is <tt>(i,j)</tt>, then
+ /// <tt>arc(k-1)</tt> will connect <tt>node(i)</tt> to <tt>node(j)</tt>.
+ ///
+ /// \param n The number of nodes.
+ /// \param begin An iterator pointing to the beginning of the arc list.
+ /// \param end An iterator pointing to the end of the arc list.
+ ///
+ /// For example, a simple digraph can be constructed like this.
+ /// \code
+ /// std::vector<std::pair<int,int> > arcs;
+ /// arcs.push_back(std::make_pair(0,1));
+ /// arcs.push_back(std::make_pair(0,2));
+ /// arcs.push_back(std::make_pair(1,3));
+ /// arcs.push_back(std::make_pair(1,2));
+ /// arcs.push_back(std::make_pair(3,0));
+ /// StaticDigraph gr;
+ /// gr.build(4, arcs.begin(), arcs.end());
+ /// \endcode
+ template <typename ArcListIterator>
+ void build(int n, ArcListIterator begin, ArcListIterator end) {
+ if (built) Parent::clear();
+ StaticDigraphBase::build(n, begin, end);
+ notifier(Node()).build();
+ notifier(Arc()).build();
+ }
+
+ /// \brief Clear the digraph.
+ ///
+ /// This function erases all nodes and arcs from the digraph.
+ void clear() {
+ Parent::clear();
+ }
+
+ protected:
+
+ using Parent::fastFirstOut;
+ using Parent::fastNextOut;
+ using Parent::fastLastOut;
+
+ public:
+
+ class OutArcIt : public Arc {
+ public:
+
+ OutArcIt() { }
+
+ OutArcIt(Invalid i) : Arc(i) { }
+
+ OutArcIt(const StaticDigraph& digraph, const Node& node) {
+ digraph.fastFirstOut(*this, node);
+ digraph.fastLastOut(last, node);
+ if (last == *this) *this = INVALID;
+ }
+
+ OutArcIt(const StaticDigraph& digraph, const Arc& arc) : Arc(arc) {
+ if (arc != INVALID) {
+ digraph.fastLastOut(last, digraph.source(arc));
+ }
+ }
+
+ OutArcIt& operator++() {
+ StaticDigraph::fastNextOut(*this);
+ if (last == *this) *this = INVALID;
+ return *this;
+ }
+
+ private:
+ Arc last;
+ };
+
+ Node baseNode(const OutArcIt &arc) const {
+ return Parent::source(static_cast<const Arc&>(arc));
+ }
+
+ Node runningNode(const OutArcIt &arc) const {
+ return Parent::target(static_cast<const Arc&>(arc));
+ }
+
+ Node baseNode(const InArcIt &arc) const {
+ return Parent::target(static_cast<const Arc&>(arc));
+ }
+
+ Node runningNode(const InArcIt &arc) const {
+ return Parent::source(static_cast<const Arc&>(arc));
+ }
+
+ };
+
+}
+
+#endif