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@@ -21,73 +21,178 @@
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#include <iterator>
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#include <vector>
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#include <map>
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#include <cmath>
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#include <algorithm>
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#include <lemon/bits/invalid.h>
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#include <lemon/bits/utility.h>
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#include <lemon/maps.h>
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#include <lemon/bits/traits.h>
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#include <lemon/bits/alteration_notifier.h>
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#include <lemon/bits/default_map.h>
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///\ingroup gutils
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///\file
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///\brief Graph utilities.
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namespace lemon {
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/// \addtogroup gutils
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/// @{
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namespace _graph_utils_bits {
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template <typename Graph>
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struct Node { typedef typename Graph::Node type; };
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template <typename Graph>
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struct NodeIt { typedef typename Graph::NodeIt type; };
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template <typename Graph>
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struct Arc { typedef typename Graph::Arc type; };
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template <typename Graph>
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struct ArcIt { typedef typename Graph::ArcIt type; };
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template <typename Graph>
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struct Edge { typedef typename Graph::Edge type; };
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template <typename Graph>
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struct EdgeIt { typedef typename Graph::EdgeIt type; };
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template <typename Graph>
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struct OutArcIt { typedef typename Graph::OutArcIt type; };
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template <typename Graph>
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struct InArcIt { typedef typename Graph::InArcIt type; };
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template <typename Graph>
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struct IncEdgeIt { typedef typename Graph::IncEdgeIt type; };
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template <typename Graph>
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struct BoolNodeMap {
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typedef typename Graph::template NodeMap<bool> type;
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};
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template <typename Graph>
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struct IntNodeMap {
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typedef typename Graph::template NodeMap<int> type;
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};
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template <typename Graph>
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struct DoubleNodeMap {
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typedef typename Graph::template NodeMap<double> type;
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};
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template <typename Graph>
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struct BoolArcMap {
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typedef typename Graph::template ArcMap<bool> type;
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};
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template <typename Graph>
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struct IntArcMap {
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typedef typename Graph::template ArcMap<int> type;
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};
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template <typename Graph>
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struct DoubleArcMap {
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typedef typename Graph::template ArcMap<double> type;
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};
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template <typename Graph>
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struct BoolEdgeMap {
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typedef typename Graph::template EdgeMap<bool> type;
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};
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template <typename Graph>
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struct IntEdgeMap {
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typedef typename Graph::template EdgeMap<int> type;
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};
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template <typename Graph>
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struct DoubleEdgeMap {
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typedef typename Graph::template EdgeMap<double> type;
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};
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}
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///Creates convenience typedefs for the digraph types and iterators
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///This \c \#define creates convenience typedefs for the following types
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///of \c Digraph: \c Node, \c NodeIt, \c Arc, \c ArcIt, \c InArcIt,
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///\c OutArcIt, \c BoolNodeMap, \c IntNodeMap, \c DoubleNodeMap,
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///\c BoolArcMap, \c IntArcMap, \c DoubleArcMap.
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#define DIGRAPH_TYPEDEFS(Digraph) \
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typedef Digraph::Node Node; \
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typedef Digraph::NodeIt NodeIt; \
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typedef Digraph::Arc Arc; \
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typedef Digraph::ArcIt ArcIt; \
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typedef Digraph::InArcIt InArcIt; \
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typedef Digraph::OutArcIt OutArcIt
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typedef typename ::lemon::_graph_utils_bits:: \
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Node<Digraph>::type Node; \
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typedef typename ::lemon::_graph_utils_bits:: \
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NodeIt<Digraph>::type NodeIt; \
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typedef typename ::lemon::_graph_utils_bits:: \
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Arc<Digraph>::type Arc; \
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typedef typename ::lemon::_graph_utils_bits:: \
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ArcIt<Digraph>::type ArcIt; \
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typedef typename ::lemon::_graph_utils_bits:: \
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OutArcIt<Digraph>::type OutArcIt; \
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typedef typename ::lemon::_graph_utils_bits:: \
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InArcIt<Digraph>::type InArcIt; \
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typedef typename ::lemon::_graph_utils_bits:: \
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BoolNodeMap<Digraph>::type BoolNodeMap; \
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typedef typename ::lemon::_graph_utils_bits:: \
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IntNodeMap<Digraph>::type IntNodeMap; \
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typedef typename ::lemon::_graph_utils_bits:: \
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DoubleNodeMap<Digraph>::type DoubleNodeMap; \
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typedef typename ::lemon::_graph_utils_bits:: \
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BoolArcMap<Digraph>::type BoolArcMap; \
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typedef typename ::lemon::_graph_utils_bits:: \
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IntArcMap<Digraph>::type IntArcMap; \
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typedef typename ::lemon::_graph_utils_bits:: \
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DoubleArcMap<Digraph>::type DoubleArcMap
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///Creates convenience typedefs for the graph types and iterators
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///This \c \#define creates the same convenience typedefs as defined
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///by \ref DIGRAPH_TYPEDEFS(Graph) and six more, namely it creates
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///\c Edge, \c EdgeIt, \c IncEdgeIt, \c BoolEdgeMap, \c IntEdgeMap,
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///\c DoubleEdgeMap.
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#define GRAPH_TYPEDEFS(Graph) \
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DIGRAPH_TYPEDEFS(Graph); \
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typedef Graph::Edge Edge; \
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typedef Graph::EdgeIt EdgeIt; \
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typedef Graph::IncEdgeIt IncEdgeIt
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typedef typename ::lemon::_graph_utils_bits:: \
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Edge<Graph>::type Edge; \
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typedef typename ::lemon::_graph_utils_bits:: \
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EdgeIt<Graph>::type EdgeIt; \
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typedef typename ::lemon::_graph_utils_bits:: \
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IncEdgeIt<Graph>::type IncEdgeIt \
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typedef typename ::lemon::_graph_utils_bits:: \
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BoolEdgeMap<Graph>::type BoolEdgeMap; \
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typedef typename ::lemon::_graph_utils_bits:: \
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IntEdgeMap<Graph>::type IntEdgeMap; \
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typedef typename ::lemon::_graph_utils_bits:: \
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DoubleEdgeMap<Graph>::type DoubleEdgeMap
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/// \brief Function to count the items in the graph.
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///
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/// This function counts the items (nodes, arcs etc) in the graph.
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/// The complexity of the function is O(n) because
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/// it iterates on all of the items.
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template <typename Graph, typename Item>
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inline int countItems(const Graph& g) {
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typedef typename ItemSetTraits<Graph, Item>::ItemIt ItemIt;
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int num = 0;
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for (ItemIt it(g); it != INVALID; ++it) {
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++num;
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}
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return num;
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}
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// Node counting:
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namespace _graph_utils_bits {
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template <typename Graph, typename Enable = void>
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struct CountNodesSelector {
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static int count(const Graph &g) {
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return countItems<Graph, typename Graph::Node>(g);
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@@ -2035,49 +2140,49 @@
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///It is possible to find \e all parallel arcs between two nodes with
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///the \c findFirst() and \c findNext() members.
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///
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///See the \ref ArcLookUp and \ref AllArcLookUp classes if your
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///digraph is not changed so frequently.
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///
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///This class uses a self-adjusting binary search tree, Sleator's
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///and Tarjan's Splay tree for guarantee the logarithmic amortized
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///time bound for arc lookups. This class also guarantees the
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///optimal time bound in a constant factor for any distribution of
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///queries.
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///
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///\param G The type of the underlying digraph.
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///
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///\sa ArcLookUp
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///\sa AllArcLookUp
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template<class G>
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class DynArcLookUp
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: protected ItemSetTraits<G, typename G::Arc>::ItemNotifier::ObserverBase
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{
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public:
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typedef typename ItemSetTraits<G, typename G::Arc>
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::ItemNotifier::ObserverBase Parent;
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DIGRAPH_TYPEDEFS(typename G);
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DIGRAPH_TYPEDEFS(G);
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typedef G Digraph;
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protected:
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class AutoNodeMap : public DefaultMap<G, Node, Arc> {
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public:
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typedef DefaultMap<G, Node, Arc> Parent;
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AutoNodeMap(const G& digraph) : Parent(digraph, INVALID) {}
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virtual void add(const Node& node) {
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Parent::add(node);
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Parent::set(node, INVALID);
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}
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virtual void add(const std::vector<Node>& nodes) {
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Parent::add(nodes);
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for (int i = 0; i < int(nodes.size()); ++i) {
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Parent::set(nodes[i], INVALID);
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}
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}
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virtual void build() {
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@@ -2472,49 +2577,49 @@
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///Fast arc look up between given endpoints.
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2579 |
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///\ingroup gutils
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///Using this class, you can find an arc in a digraph from a given
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///source to a given target in time <em>O(log d)</em>,
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///where <em>d</em> is the out-degree of the source node.
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///
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///It is not possible to find \e all parallel arcs between two nodes.
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///Use \ref AllArcLookUp for this purpose.
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///
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///\warning This class is static, so you should refresh() (or at least
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///refresh(Node)) this data structure
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///whenever the digraph changes. This is a time consuming (superlinearly
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///proportional (<em>O(m</em>log<em>m)</em>) to the number of arcs).
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///
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///\param G The type of the underlying digraph.
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///
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///\sa DynArcLookUp
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///\sa AllArcLookUp
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template<class G>
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class ArcLookUp
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{
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public:
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DIGRAPH_TYPEDEFS(typename G);
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DIGRAPH_TYPEDEFS(G);
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typedef G Digraph;
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2603 |
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protected:
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2605 |
const Digraph &_g;
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typename Digraph::template NodeMap<Arc> _head;
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2607 |
typename Digraph::template ArcMap<Arc> _left;
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2608 |
typename Digraph::template ArcMap<Arc> _right;
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2609 |
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2610 |
class ArcLess {
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const Digraph &g;
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public:
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2613 |
ArcLess(const Digraph &_g) : g(_g) {}
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2614 |
bool operator()(Arc a,Arc b) const
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2615 |
{
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2616 |
return g.target(a)<g.target(b);
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2617 |
}
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2618 |
};
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2619 |
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public:
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2621 |
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2622 |
///Constructor
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2623 |
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2624 |
///Constructor.
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2625 |
///
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@@ -2589,49 +2694,49 @@
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2694 |
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///Fast look up of all arcs between given endpoints.
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2696 |
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2697 |
///\ingroup gutils
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2698 |
///This class is the same as \ref ArcLookUp, with the addition
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2699 |
///that it makes it possible to find all arcs between given endpoints.
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2700 |
///
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2701 |
///\warning This class is static, so you should refresh() (or at least
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2702 |
///refresh(Node)) this data structure
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2703 |
///whenever the digraph changes. This is a time consuming (superlinearly
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///proportional (<em>O(m</em>log<em>m)</em>) to the number of arcs).
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2705 |
///
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2706 |
///\param G The type of the underlying digraph.
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2707 |
///
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2708 |
///\sa DynArcLookUp
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2709 |
///\sa ArcLookUp
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2710 |
template<class G>
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2711 |
class AllArcLookUp : public ArcLookUp<G>
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2712 |
{
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2713 |
using ArcLookUp<G>::_g;
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2714 |
using ArcLookUp<G>::_right;
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2715 |
using ArcLookUp<G>::_left;
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2716 |
using ArcLookUp<G>::_head;
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2717 |
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DIGRAPH_TYPEDEFS(typename G);
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2718 |
DIGRAPH_TYPEDEFS(G);
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2719 |
typedef G Digraph;
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2720 |
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2721 |
typename Digraph::template ArcMap<Arc> _next;
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2722 |
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2723 |
Arc refreshNext(Arc head,Arc next=INVALID)
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2724 |
{
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2725 |
if(head==INVALID) return next;
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2726 |
else {
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2727 |
next=refreshNext(_right[head],next);
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2728 |
// _next[head]=next;
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2729 |
_next[head]=( next!=INVALID && _g.target(next)==_g.target(head))
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2730 |
? next : INVALID;
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2731 |
return refreshNext(_left[head],head);
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2732 |
}
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2733 |
}
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| 2629 |
2734 |
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2735 |
void refreshNext()
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2736 |
{
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2737 |
for(NodeIt n(_g);n!=INVALID;++n) refreshNext(_head[n]);
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2738 |
}
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| 2634 |
2739 |
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2740 |
public:
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2741 |
///Constructor
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2742 |
|