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/* -*- 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) 2003-2008
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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_CORE_H
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#define LEMON_CORE_H
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#include <vector>
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#include <algorithm>
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#include <lemon/core.h>
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#include <lemon/config.h>
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#include <lemon/bits/enable_if.h>
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#include <lemon/bits/traits.h>
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#include <lemon/assert.h>
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///\file
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///\brief LEMON core utilities.
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///
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///This header file contains core utilities for LEMON.
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///It is automatically included by all graph types, therefore it usually
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///do not have to be included directly.
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namespace lemon {
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/// \brief Dummy type to make it easier to create invalid iterators.
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///
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/// Dummy type to make it easier to create invalid iterators.
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/// See \ref INVALID for the usage.
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struct Invalid {
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public:
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bool operator==(Invalid) { return true; }
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bool operator!=(Invalid) { return false; }
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bool operator< (Invalid) { return false; }
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};
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/// \brief Invalid iterators.
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///
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/// \ref Invalid is a global type that converts to each iterator
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/// in such a way that the value of the target iterator will be invalid.
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#ifdef LEMON_ONLY_TEMPLATES
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const Invalid INVALID = Invalid();
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#else
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extern const Invalid INVALID;
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#endif
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/// \addtogroup gutils
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/// @{
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///Create convenience typedefs for the digraph types and iterators
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///This \c \#define creates convenient type definitions for the following
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///types 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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///
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///\note If the graph type is a dependent type, ie. the graph type depend
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///on a template parameter, then use \c TEMPLATE_DIGRAPH_TYPEDEFS()
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///macro.
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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 Digraph::NodeMap<bool> BoolNodeMap; \
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typedef Digraph::NodeMap<int> IntNodeMap; \
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typedef Digraph::NodeMap<double> DoubleNodeMap; \
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typedef Digraph::ArcMap<bool> BoolArcMap; \
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typedef Digraph::ArcMap<int> IntArcMap; \
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typedef Digraph::ArcMap<double> DoubleArcMap
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///Create convenience typedefs for the digraph types and iterators
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///\see DIGRAPH_TYPEDEFS
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///
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///\note Use this macro, if the graph type is a dependent type,
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///ie. the graph type depend on a template parameter.
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#define TEMPLATE_DIGRAPH_TYPEDEFS(Digraph) \
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typedef typename Digraph::Node Node; \
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typedef typename Digraph::NodeIt NodeIt; \
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typedef typename Digraph::Arc Arc; \
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typedef typename Digraph::ArcIt ArcIt; \
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typedef typename Digraph::InArcIt InArcIt; \
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typedef typename Digraph::OutArcIt OutArcIt; \
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typedef typename Digraph::template NodeMap<bool> BoolNodeMap; \
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typedef typename Digraph::template NodeMap<int> IntNodeMap; \
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typedef typename Digraph::template NodeMap<double> DoubleNodeMap; \
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typedef typename Digraph::template ArcMap<bool> BoolArcMap; \
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typedef typename Digraph::template ArcMap<int> IntArcMap; \
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typedef typename Digraph::template ArcMap<double> DoubleArcMap
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///Create convenience typedefs for the graph types and iterators
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///This \c \#define creates the same convenient type definitions 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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///
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///\note If the graph type is a dependent type, ie. the graph type depend
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///on a template parameter, then use \c TEMPLATE_GRAPH_TYPEDEFS()
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///macro.
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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 Graph::EdgeMap<bool> BoolEdgeMap; \
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typedef Graph::EdgeMap<int> IntEdgeMap; \
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typedef Graph::EdgeMap<double> DoubleEdgeMap
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///Create convenience typedefs for the graph types and iterators
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///\see GRAPH_TYPEDEFS
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///
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///\note Use this macro, if the graph type is a dependent type,
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///ie. the graph type depend on a template parameter.
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#define TEMPLATE_GRAPH_TYPEDEFS(Graph) \
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TEMPLATE_DIGRAPH_TYPEDEFS(Graph); \
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typedef typename Graph::Edge Edge; \
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typedef typename Graph::EdgeIt EdgeIt; \
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typedef typename Graph::IncEdgeIt IncEdgeIt; \
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typedef typename Graph::template EdgeMap<bool> BoolEdgeMap; \
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typedef typename Graph::template EdgeMap<int> IntEdgeMap; \
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typedef typename Graph::template EdgeMap<double> DoubleEdgeMap
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/// \brief Function to count the items in a graph.
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///
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/// This function counts the items (nodes, arcs etc.) in a graph.
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/// The complexity of the function is linear 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 _core_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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}
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};
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template <typename Graph>
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struct CountNodesSelector<
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Graph, typename
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enable_if<typename Graph::NodeNumTag, void>::type>
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{
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static int count(const Graph &g) {
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return g.nodeNum();
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}
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};
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}
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/// \brief Function to count the nodes in the graph.
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///
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/// This function counts the nodes in the graph.
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/// The complexity of the function is <em>O</em>(<em>n</em>), but for some
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/// graph structures it is specialized to run in <em>O</em>(1).
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///
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/// \note If the graph contains a \c nodeNum() member function and a
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/// \c NodeNumTag tag then this function calls directly the member
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/// function to query the cardinality of the node set.
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template <typename Graph>
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inline int countNodes(const Graph& g) {
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return _core_bits::CountNodesSelector<Graph>::count(g);
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}
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// Arc counting:
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namespace _core_bits {
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template <typename Graph, typename Enable = void>
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struct CountArcsSelector {
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static int count(const Graph &g) {
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return countItems<Graph, typename Graph::Arc>(g);
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}
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};
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template <typename Graph>
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struct CountArcsSelector<
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Graph,
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typename enable_if<typename Graph::ArcNumTag, void>::type>
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{
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static int count(const Graph &g) {
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return g.arcNum();
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}
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};
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}
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/// \brief Function to count the arcs in the graph.
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///
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/// This function counts the arcs in the graph.
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/// The complexity of the function is <em>O</em>(<em>m</em>), but for some
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/// graph structures it is specialized to run in <em>O</em>(1).
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///
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/// \note If the graph contains a \c arcNum() member function and a
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/// \c ArcNumTag tag then this function calls directly the member
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/// function to query the cardinality of the arc set.
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template <typename Graph>
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inline int countArcs(const Graph& g) {
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return _core_bits::CountArcsSelector<Graph>::count(g);
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}
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227 |
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228 |
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// Edge counting:
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namespace _core_bits {
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231 |
231 |
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template <typename Graph, typename Enable = void>
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struct CountEdgesSelector {
|
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static int count(const Graph &g) {
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return countItems<Graph, typename Graph::Edge>(g);
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}
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};
|
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template <typename Graph>
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struct CountEdgesSelector<
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241 |
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Graph,
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typename enable_if<typename Graph::EdgeNumTag, void>::type>
|
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{
|
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static int count(const Graph &g) {
|
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return g.edgeNum();
|
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}
|
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};
|
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}
|
249 |
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/// \brief Function to count the edges in the graph.
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///
|
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/// This function counts the edges in the graph.
|
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/// The complexity of the function is <em>O</em>(<em>m</em>), but for some
|
254 |
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/// graph structures it is specialized to run in <em>O</em>(1).
|
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///
|
256 |
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/// \note If the graph contains a \c edgeNum() member function and a
|
257 |
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/// \c EdgeNumTag tag then this function calls directly the member
|
258 |
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/// function to query the cardinality of the edge set.
|
259 |
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template <typename Graph>
|
260 |
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inline int countEdges(const Graph& g) {
|
261 |
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return _core_bits::CountEdgesSelector<Graph>::count(g);
|
262 |
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}
|
264 |
264 |
|
265 |
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|
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template <typename Graph, typename DegIt>
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inline int countNodeDegree(const Graph& _g, const typename Graph::Node& _n) {
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int num = 0;
|
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for (DegIt it(_g, _n); it != INVALID; ++it) {
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++num;
|
271 |
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}
|
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272 |
return num;
|
273 |
273 |
}
|
274 |
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|
275 |
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/// \brief Function to count the number of the out-arcs from node \c n.
|
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///
|
277 |
277 |
/// This function counts the number of the out-arcs from node \c n
|
278 |
278 |
/// in the graph \c g.
|
279 |
279 |
template <typename Graph>
|
280 |
280 |
inline int countOutArcs(const Graph& g, const typename Graph::Node& n) {
|
281 |
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return countNodeDegree<Graph, typename Graph::OutArcIt>(g, n);
|
282 |
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}
|
283 |
283 |
|
284 |
284 |
/// \brief Function to count the number of the in-arcs to node \c n.
|
285 |
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///
|
286 |
286 |
/// This function counts the number of the in-arcs to node \c n
|
287 |
287 |
/// in the graph \c g.
|
288 |
288 |
template <typename Graph>
|
289 |
289 |
inline int countInArcs(const Graph& g, const typename Graph::Node& n) {
|
290 |
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return countNodeDegree<Graph, typename Graph::InArcIt>(g, n);
|
291 |
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}
|
292 |
292 |
|
293 |
293 |
/// \brief Function to count the number of the inc-edges to node \c n.
|
294 |
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///
|
295 |
295 |
/// This function counts the number of the inc-edges to node \c n
|
296 |
296 |
/// in the undirected graph \c g.
|
297 |
297 |
template <typename Graph>
|
298 |
298 |
inline int countIncEdges(const Graph& g, const typename Graph::Node& n) {
|
299 |
299 |
return countNodeDegree<Graph, typename Graph::IncEdgeIt>(g, n);
|
300 |
300 |
}
|
301 |
301 |
|
302 |
302 |
namespace _core_bits {
|
303 |
303 |
|
304 |
304 |
template <typename Digraph, typename Item, typename RefMap>
|
305 |
305 |
class MapCopyBase {
|
306 |
306 |
public:
|
307 |
307 |
virtual void copy(const Digraph& from, const RefMap& refMap) = 0;
|
308 |
308 |
|
309 |
309 |
virtual ~MapCopyBase() {}
|
310 |
310 |
};
|
311 |
311 |
|
312 |
312 |
template <typename Digraph, typename Item, typename RefMap,
|
313 |
313 |
typename FromMap, typename ToMap>
|
314 |
314 |
class MapCopy : public MapCopyBase<Digraph, Item, RefMap> {
|
315 |
315 |
public:
|
316 |
316 |
|
317 |
317 |
MapCopy(const FromMap& map, ToMap& tmap)
|
318 |
318 |
: _map(map), _tmap(tmap) {}
|
319 |
319 |
|
320 |
320 |
virtual void copy(const Digraph& digraph, const RefMap& refMap) {
|
321 |
321 |
typedef typename ItemSetTraits<Digraph, Item>::ItemIt ItemIt;
|
322 |
322 |
for (ItemIt it(digraph); it != INVALID; ++it) {
|
323 |
323 |
_tmap.set(refMap[it], _map[it]);
|
324 |
324 |
}
|
325 |
325 |
}
|
326 |
326 |
|
327 |
327 |
private:
|
328 |
328 |
const FromMap& _map;
|
329 |
329 |
ToMap& _tmap;
|
330 |
330 |
};
|
331 |
331 |
|
332 |
332 |
template <typename Digraph, typename Item, typename RefMap, typename It>
|
333 |
333 |
class ItemCopy : public MapCopyBase<Digraph, Item, RefMap> {
|
334 |
334 |
public:
|
335 |
335 |
|
336 |
336 |
ItemCopy(const Item& item, It& it) : _item(item), _it(it) {}
|
337 |
337 |
|
338 |
338 |
virtual void copy(const Digraph&, const RefMap& refMap) {
|
339 |
339 |
_it = refMap[_item];
|
340 |
340 |
}
|
341 |
341 |
|
342 |
342 |
private:
|
343 |
343 |
Item _item;
|
344 |
344 |
It& _it;
|
345 |
345 |
};
|
346 |
346 |
|
347 |
347 |
template <typename Digraph, typename Item, typename RefMap, typename Ref>
|
348 |
348 |
class RefCopy : public MapCopyBase<Digraph, Item, RefMap> {
|
349 |
349 |
public:
|
350 |
350 |
|
351 |
351 |
RefCopy(Ref& map) : _map(map) {}
|
352 |
352 |
|
353 |
353 |
virtual void copy(const Digraph& digraph, const RefMap& refMap) {
|
354 |
354 |
typedef typename ItemSetTraits<Digraph, Item>::ItemIt ItemIt;
|
355 |
355 |
for (ItemIt it(digraph); it != INVALID; ++it) {
|
356 |
356 |
_map.set(it, refMap[it]);
|
357 |
357 |
}
|
358 |
358 |
}
|
359 |
359 |
|
360 |
360 |
private:
|
361 |
361 |
Ref& _map;
|
362 |
362 |
};
|
363 |
363 |
|
364 |
364 |
template <typename Digraph, typename Item, typename RefMap,
|
365 |
365 |
typename CrossRef>
|
366 |
366 |
class CrossRefCopy : public MapCopyBase<Digraph, Item, RefMap> {
|
367 |
367 |
public:
|
368 |
368 |
|
369 |
369 |
CrossRefCopy(CrossRef& cmap) : _cmap(cmap) {}
|
370 |
370 |
|
371 |
371 |
virtual void copy(const Digraph& digraph, const RefMap& refMap) {
|
372 |
372 |
typedef typename ItemSetTraits<Digraph, Item>::ItemIt ItemIt;
|
373 |
373 |
for (ItemIt it(digraph); it != INVALID; ++it) {
|
374 |
374 |
_cmap.set(refMap[it], it);
|
375 |
375 |
}
|
376 |
376 |
}
|
377 |
377 |
|
378 |
378 |
private:
|
379 |
379 |
CrossRef& _cmap;
|
380 |
380 |
};
|
381 |
381 |
|
382 |
382 |
template <typename Digraph, typename Enable = void>
|
383 |
383 |
struct DigraphCopySelector {
|
384 |
384 |
template <typename From, typename NodeRefMap, typename ArcRefMap>
|
385 |
385 |
static void copy(const From& from, Digraph &to,
|
386 |
386 |
NodeRefMap& nodeRefMap, ArcRefMap& arcRefMap) {
|
387 |
387 |
for (typename From::NodeIt it(from); it != INVALID; ++it) {
|
388 |
388 |
nodeRefMap[it] = to.addNode();
|
389 |
389 |
}
|
390 |
390 |
for (typename From::ArcIt it(from); it != INVALID; ++it) {
|
391 |
391 |
arcRefMap[it] = to.addArc(nodeRefMap[from.source(it)],
|
392 |
392 |
nodeRefMap[from.target(it)]);
|
393 |
393 |
}
|
394 |
394 |
}
|
395 |
395 |
};
|
396 |
396 |
|
397 |
397 |
template <typename Digraph>
|
398 |
398 |
struct DigraphCopySelector<
|
399 |
399 |
Digraph,
|
400 |
400 |
typename enable_if<typename Digraph::BuildTag, void>::type>
|
401 |
401 |
{
|
402 |
402 |
template <typename From, typename NodeRefMap, typename ArcRefMap>
|
403 |
403 |
static void copy(const From& from, Digraph &to,
|
404 |
404 |
NodeRefMap& nodeRefMap, ArcRefMap& arcRefMap) {
|
405 |
405 |
to.build(from, nodeRefMap, arcRefMap);
|
406 |
406 |
}
|
407 |
407 |
};
|
408 |
408 |
|
409 |
409 |
template <typename Graph, typename Enable = void>
|
410 |
410 |
struct GraphCopySelector {
|
411 |
411 |
template <typename From, typename NodeRefMap, typename EdgeRefMap>
|
412 |
412 |
static void copy(const From& from, Graph &to,
|
413 |
413 |
NodeRefMap& nodeRefMap, EdgeRefMap& edgeRefMap) {
|
414 |
414 |
for (typename From::NodeIt it(from); it != INVALID; ++it) {
|
415 |
415 |
nodeRefMap[it] = to.addNode();
|
416 |
416 |
}
|
417 |
417 |
for (typename From::EdgeIt it(from); it != INVALID; ++it) {
|
418 |
418 |
edgeRefMap[it] = to.addEdge(nodeRefMap[from.u(it)],
|
419 |
419 |
nodeRefMap[from.v(it)]);
|
420 |
420 |
}
|
421 |
421 |
}
|
422 |
422 |
};
|
423 |
423 |
|
424 |
424 |
template <typename Graph>
|
425 |
425 |
struct GraphCopySelector<
|
426 |
426 |
Graph,
|
427 |
427 |
typename enable_if<typename Graph::BuildTag, void>::type>
|
428 |
428 |
{
|
429 |
429 |
template <typename From, typename NodeRefMap, typename EdgeRefMap>
|
430 |
430 |
static void copy(const From& from, Graph &to,
|
431 |
431 |
NodeRefMap& nodeRefMap, EdgeRefMap& edgeRefMap) {
|
432 |
432 |
to.build(from, nodeRefMap, edgeRefMap);
|
433 |
433 |
}
|
434 |
434 |
};
|
435 |
435 |
|
436 |
436 |
}
|
437 |
437 |
|
438 |
438 |
/// \brief Class to copy a digraph.
|
439 |
439 |
///
|
440 |
440 |
/// Class to copy a digraph to another digraph (duplicate a digraph). The
|
441 |
441 |
/// simplest way of using it is through the \c digraphCopy() function.
|
442 |
442 |
///
|
443 |
443 |
/// This class not only make a copy of a digraph, but it can create
|
444 |
444 |
/// references and cross references between the nodes and arcs of
|
445 |
445 |
/// the two digraphs, and it can copy maps to use with the newly created
|
446 |
446 |
/// digraph.
|
447 |
447 |
///
|
448 |
448 |
/// To make a copy from a digraph, first an instance of DigraphCopy
|
449 |
449 |
/// should be created, then the data belongs to the digraph should
|
450 |
450 |
/// assigned to copy. In the end, the \c run() member should be
|
451 |
451 |
/// called.
|
452 |
452 |
///
|
453 |
453 |
/// The next code copies a digraph with several data:
|
454 |
454 |
///\code
|
455 |
455 |
/// DigraphCopy<OrigGraph, NewGraph> cg(orig_graph, new_graph);
|
456 |
456 |
/// // Create references for the nodes
|
457 |
457 |
/// OrigGraph::NodeMap<NewGraph::Node> nr(orig_graph);
|
458 |
458 |
/// cg.nodeRef(nr);
|
459 |
459 |
/// // Create cross references (inverse) for the arcs
|
460 |
460 |
/// NewGraph::ArcMap<OrigGraph::Arc> acr(new_graph);
|
461 |
461 |
/// cg.arcCrossRef(acr);
|
462 |
462 |
/// // Copy an arc map
|
463 |
463 |
/// OrigGraph::ArcMap<double> oamap(orig_graph);
|
464 |
464 |
/// NewGraph::ArcMap<double> namap(new_graph);
|
465 |
465 |
/// cg.arcMap(oamap, namap);
|
466 |
466 |
/// // Copy a node
|
467 |
467 |
/// OrigGraph::Node on;
|
468 |
468 |
/// NewGraph::Node nn;
|
469 |
469 |
/// cg.node(on, nn);
|
470 |
470 |
/// // Execute copying
|
471 |
471 |
/// cg.run();
|
472 |
472 |
///\endcode
|
473 |
473 |
template <typename From, typename To>
|
474 |
474 |
class DigraphCopy {
|
475 |
475 |
private:
|
476 |
476 |
|
477 |
477 |
typedef typename From::Node Node;
|
478 |
478 |
typedef typename From::NodeIt NodeIt;
|
479 |
479 |
typedef typename From::Arc Arc;
|
480 |
480 |
typedef typename From::ArcIt ArcIt;
|
481 |
481 |
|
482 |
482 |
typedef typename To::Node TNode;
|
483 |
483 |
typedef typename To::Arc TArc;
|
484 |
484 |
|
485 |
485 |
typedef typename From::template NodeMap<TNode> NodeRefMap;
|
486 |
486 |
typedef typename From::template ArcMap<TArc> ArcRefMap;
|
487 |
487 |
|
488 |
488 |
public:
|
489 |
489 |
|
490 |
490 |
/// \brief Constructor of DigraphCopy.
|
491 |
491 |
///
|
492 |
492 |
/// Constructor of DigraphCopy for copying the content of the
|
493 |
493 |
/// \c from digraph into the \c to digraph.
|
494 |
494 |
DigraphCopy(const From& from, To& to)
|
495 |
495 |
: _from(from), _to(to) {}
|
496 |
496 |
|
497 |
497 |
/// \brief Destructor of DigraphCopy
|
498 |
498 |
///
|
499 |
499 |
/// Destructor of DigraphCopy.
|
500 |
500 |
~DigraphCopy() {
|
501 |
501 |
for (int i = 0; i < int(_node_maps.size()); ++i) {
|
502 |
502 |
delete _node_maps[i];
|
503 |
503 |
}
|
504 |
504 |
for (int i = 0; i < int(_arc_maps.size()); ++i) {
|
505 |
505 |
delete _arc_maps[i];
|
506 |
506 |
}
|
507 |
507 |
|
508 |
508 |
}
|
509 |
509 |
|
510 |
510 |
/// \brief Copy the node references into the given map.
|
511 |
511 |
///
|
512 |
512 |
/// This function copies the node references into the given map.
|
513 |
513 |
/// The parameter should be a map, whose key type is the Node type of
|
514 |
514 |
/// the source digraph, while the value type is the Node type of the
|
515 |
515 |
/// destination digraph.
|
516 |
516 |
template <typename NodeRef>
|
517 |
517 |
DigraphCopy& nodeRef(NodeRef& map) {
|
518 |
518 |
_node_maps.push_back(new _core_bits::RefCopy<From, Node,
|
519 |
519 |
NodeRefMap, NodeRef>(map));
|
520 |
520 |
return *this;
|
521 |
521 |
}
|
522 |
522 |
|
523 |
523 |
/// \brief Copy the node cross references into the given map.
|
524 |
524 |
///
|
525 |
525 |
/// This function copies the node cross references (reverse references)
|
526 |
526 |
/// into the given map. The parameter should be a map, whose key type
|
527 |
527 |
/// is the Node type of the destination digraph, while the value type is
|
528 |
528 |
/// the Node type of the source digraph.
|
529 |
529 |
template <typename NodeCrossRef>
|
530 |
530 |
DigraphCopy& nodeCrossRef(NodeCrossRef& map) {
|
531 |
531 |
_node_maps.push_back(new _core_bits::CrossRefCopy<From, Node,
|
532 |
532 |
NodeRefMap, NodeCrossRef>(map));
|
533 |
533 |
return *this;
|
534 |
534 |
}
|
535 |
535 |
|
536 |
536 |
/// \brief Make a copy of the given node map.
|
537 |
537 |
///
|