/* -*- mode: C++; indent-tabs-mode: nil; -*-
* This file is a part of LEMON, a generic C++ optimization library.
* Copyright (C) 2003-2008
* 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
#ifndef LEMON_BITS_BASE_EXTENDER_H
#define LEMON_BITS_BASE_EXTENDER_H
#include <lemon/bits/map_extender.h>
#include <lemon/bits/default_map.h>
#include <lemon/concept_check.h>
#include <lemon/concepts/maps.h>
//\brief Extenders for the graph types
// \brief BaseDigraph to BaseGraph extender
class UndirDigraphExtender : public Base {
typedef typename Parent::Arc Edge;
typedef typename Parent::Node Node;
typedef True UndirectedTag;
class Arc : public Edge {
friend class UndirDigraphExtender;
Arc(const Edge &ue, bool _forward) :
Edge(ue), forward(_forward) {}
// Invalid arc constructor
Arc(Invalid i) : Edge(i), forward(true) {}
bool operator==(const Arc &that) const {
return forward==that.forward && Edge(*this)==Edge(that);
bool operator!=(const Arc &that) const {
return forward!=that.forward || Edge(*this)!=Edge(that);
bool operator<(const Arc &that) const {
return forward<that.forward ||
(!(that.forward<forward) && Edge(*this)<Edge(that));
// First node of the edge
Node u(const Edge &e) const {
return Parent::source(e);
// Source of the given arc
Node source(const Arc &e) const {
return e.forward ? Parent::source(e) : Parent::target(e);
// Second node of the edge
Node v(const Edge &e) const {
return Parent::target(e);
// Target of the given arc
Node target(const Arc &e) const {
return e.forward ? Parent::target(e) : Parent::source(e);
// \brief Directed arc from an edge.
// Returns a directed arc corresponding to the specified edge.
// If the given bool is true, the first node of the given edge and
// the source node of the returned arc are the same.
static Arc direct(const Edge &e, bool d) {
// Returns whether the given directed arc has the same orientation
// as the corresponding edge.
static bool direction(const Arc &a) { return a.forward; }
void first(Arc &e) const {
void next(Arc &e) const {
void firstOut(Arc &e, const Node &n) const {
if( Edge(e) != INVALID ) {
void nextOut(Arc &e) const {
Node n = Parent::target(e);
if( Edge(e) == INVALID ) {
void firstIn(Arc &e, const Node &n) const {
if( Edge(e) != INVALID ) {
void nextIn(Arc &e) const {
Node n = Parent::source(e);
if( Edge(e) == INVALID ) {
void firstInc(Edge &e, bool &d, const Node &n) const {
if (e != INVALID) return;
void nextInc(Edge &e, bool &d) const {
Node s = Parent::source(e);
if (e != INVALID) return;
Node nodeFromId(int ix) const {
return Parent::nodeFromId(ix);
Arc arcFromId(int ix) const {
return direct(Parent::arcFromId(ix >> 1), bool(ix & 1));
Edge edgeFromId(int ix) const {
return Parent::arcFromId(ix);
int id(const Node &n) const {
int id(const Edge &e) const {
int id(const Arc &e) const {
return 2 * Parent::id(e) + int(e.forward);
return Parent::maxNodeId();
return 2 * Parent::maxArcId() + 1;
return Parent::maxArcId();
return 2 * Parent::arcNum();
Arc findArc(Node s, Node t, Arc p = INVALID) const {
Edge arc = Parent::findArc(s, t);
if (arc != INVALID) return direct(arc, true);
arc = Parent::findArc(t, s);
if (arc != INVALID) return direct(arc, false);
} else if (direction(p)) {
Edge arc = Parent::findArc(s, t, p);
if (arc != INVALID) return direct(arc, true);
arc = Parent::findArc(t, s);
if (arc != INVALID) return direct(arc, false);
Edge arc = Parent::findArc(t, s, p);
if (arc != INVALID) return direct(arc, false);
Edge findEdge(Node s, Node t, Edge p = INVALID) const {
Edge arc = Parent::findArc(s, t);
if (arc != INVALID) return arc;
arc = Parent::findArc(t, s);
if (arc != INVALID) return arc;
} else if (Parent::s(p) == s) {
Edge arc = Parent::findArc(s, t, p);
if (arc != INVALID) return arc;
arc = Parent::findArc(t, s);
if (arc != INVALID) return arc;
Edge arc = Parent::findArc(t, s, p);
if (arc != INVALID) return arc;
return Parent::findArc(s, t, p);
class BidirBpGraphExtender : public Base {
typedef BidirBpGraphExtender Digraph;
typedef typename Parent::Node Node;
typedef typename Parent::Edge Edge;
class Red : public Node {
friend class BidirBpGraphExtender;
Red(const Node& node) : Node(node) {
LEMON_DEBUG(Parent::red(node) || node == INVALID,
typename Parent::NodeSetError());
Red& operator=(const Node& node) {
LEMON_DEBUG(Parent::red(node) || node == INVALID,
typename Parent::NodeSetError());
Red(Invalid) : Node(INVALID) {}
Red& operator=(Invalid) {
Node::operator=(INVALID);
void first(Red& node) const {
Parent::firstRed(static_cast<Node&>(node));
void next(Red& node) const {
Parent::nextRed(static_cast<Node&>(node));
int id(const Red& node) const {
return Parent::redId(node);
class Blue : public Node {
friend class BidirBpGraphExtender;
Blue(const Node& node) : Node(node) {
LEMON_DEBUG(Parent::blue(node) || node == INVALID,
typename Parent::NodeSetError());
Blue& operator=(const Node& node) {
LEMON_DEBUG(Parent::blue(node) || node == INVALID,
typename Parent::NodeSetError());
Blue(Invalid) : Node(INVALID) {}
Blue& operator=(Invalid) {
Node::operator=(INVALID);
void first(Blue& node) const {
Parent::firstBlue(static_cast<Node&>(node));
void next(Blue& node) const {
Parent::nextBlue(static_cast<Node&>(node));
int id(const Blue& node) const {
return Parent::redId(node);
Node source(const Edge& arc) const {
Node target(const Edge& arc) const {
void firstInc(Edge& arc, bool& dir, const Node& node) const {
Parent::firstFromRed(arc, node);
Parent::firstFromBlue(arc, node);
dir = static_cast<Edge&>(arc) == INVALID;
void nextInc(Edge& arc, bool& dir) const {
Parent::nextFromRed(arc);
Parent::nextFromBlue(arc);
if (arc == INVALID) dir = true;
class Arc : public Edge {
friend class BidirBpGraphExtender;
Arc(const Edge& arc, bool _forward)
: Edge(arc), forward(_forward) {}
Arc (Invalid) : Edge(INVALID), forward(true) {}
bool operator==(const Arc& i) const {
return Edge::operator==(i) && forward == i.forward;
bool operator!=(const Arc& i) const {
return Edge::operator!=(i) || forward != i.forward;
bool operator<(const Arc& i) const {
return Edge::operator<(i) ||
(!(i.forward<forward) && Edge(*this)<Edge(i));
void first(Arc& arc) const {
Parent::first(static_cast<Edge&>(arc));
void next(Arc& arc) const {
Parent::next(static_cast<Edge&>(arc));
arc.forward = !arc.forward;
void firstOut(Arc& arc, const Node& node) const {
Parent::firstFromRed(arc, node);
Parent::firstFromBlue(arc, node);
arc.forward = static_cast<Edge&>(arc) == INVALID;
void nextOut(Arc& arc) const {
Parent::nextFromRed(arc);
Parent::nextFromBlue(arc);
arc.forward = static_cast<Edge&>(arc) == INVALID;
void firstIn(Arc& arc, const Node& node) const {
if (Parent::blue(node)) {
Parent::firstFromBlue(arc, node);
Parent::firstFromRed(arc, node);
arc.forward = static_cast<Edge&>(arc) == INVALID;
void nextIn(Arc& arc) const {
Parent::nextFromBlue(arc);
Parent::nextFromRed(arc);
arc.forward = static_cast<Edge&>(arc) == INVALID;
Node source(const Arc& arc) const {
return arc.forward ? Parent::red(arc) : Parent::blue(arc);
Node target(const Arc& arc) const {
return arc.forward ? Parent::blue(arc) : Parent::red(arc);
int id(const Arc& arc) const {
return (Parent::id(static_cast<const Edge&>(arc)) << 1) +
Arc arcFromId(int ix) const {
return Arc(Parent::fromEdgeId(ix >> 1), (ix & 1) == 0);
return (Parent::maxEdgeId() << 1) + 1;
bool direction(const Arc& arc) const {
Arc direct(const Edge& arc, bool dir) const {
return 2 * Parent::edgeNum();
return Parent::edgeNum();