* 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_STATIC_GRAPH_H
#define LEMON_STATIC_GRAPH_H
///\brief StaticDigraph class.
#include <lemon/bits/graph_extender.h>
class StaticDigraphBase {
: node_num(-1), 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) {}
friend class StaticDigraphBase;
Node(int _id) : id(_id) {}
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; }
friend class StaticDigraphBase;
Arc(int _id) : id(_id) {}
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]; }
int id(const Node& n) const { return n.id; }
Node nodeFromId(int id) const { return Node(id); }
int maxNodeId() const { return node_num - 1; }
int id(const Arc& e) const { return e.id; }
Arc arcFromId(int id) const { return Arc(id); }
int maxArcId() const { return arc_num - 1; }
int nodeNum() const { return node_num; }
int arcNum() const { return arc_num; }
template <typename Digraph, typename NodeRefMap>
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)];
const NodeRefMap& nodeRef;
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;
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];
for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) {
nodeRef[n] = Node(node_index);
node_first_in[node_index] = -1;
ArcLess<Digraph, NodeRefMap> arcLess(digraph, nodeRef);
for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) {
int source = nodeRef[n].id;
for (typename Digraph::OutArcIt e(digraph, n); e != INVALID; ++e) {
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_next_out[arc_index - 1] = -1;
node_first_out[source] = arc_index;
node_first_out[node_num] = arc_num;
void fastFirstOut(Arc& e, const Node& n) const {
e.id = node_first_out[n.id];
static void fastNextOut(Arc& e) {
void fastLastOut(Arc& e, const Node& n) const {
e.id = node_first_out[n.id + 1];
typedef DigraphExtender<StaticDigraphBase> ExtendedStaticDigraphBase;
class StaticDigraph : public ExtendedStaticDigraphBase {
typedef ExtendedStaticDigraphBase Parent;
using Parent::fastFirstOut;
using Parent::fastNextOut;
using Parent::fastLastOut;
class OutArcIt : public Arc {
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) {
digraph.fastLastOut(last, digraph.source(arc));
StaticDigraph::fastNextOut(*this);
if (last == *this) *this = INVALID;