/* -*- 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
#include <lemon/concepts/graph.h>
#include <lemon/list_graph.h>
#include <lemon/smart_graph.h>
#include <lemon/full_graph.h>
#include <lemon/grid_graph.h>
#include <lemon/hypercube_graph.h>
using namespace lemon::concepts;
TEMPLATE_GRAPH_TYPEDEFS(Graph);
checkGraphNodeList(G, 0);
checkGraphEdgeList(G, 0);
checkGraphNodeList(G, 3);
checkGraphEdgeList(G, 0);
Edge e1 = G.addEdge(n1, n2);
check((G.u(e1) == n1 && G.v(e1) == n2) || (G.u(e1) == n2 && G.v(e1) == n1),
checkGraphNodeList(G, 3);
checkGraphEdgeList(G, 1);
checkGraphIncEdgeArcLists(G, n1, 1);
checkGraphIncEdgeArcLists(G, n2, 1);
checkGraphIncEdgeArcLists(G, n3, 0);
checkGraphConEdgeList(G, 1);
checkGraphConArcList(G, 2);
Edge e2 = G.addEdge(n2, n1),
checkGraphNodeList(G, 3);
checkGraphEdgeList(G, 3);
checkGraphIncEdgeArcLists(G, n1, 2);
checkGraphIncEdgeArcLists(G, n2, 3);
checkGraphIncEdgeArcLists(G, n3, 1);
checkGraphConEdgeList(G, 3);
checkGraphConArcList(G, 6);
TEMPLATE_GRAPH_TYPEDEFS(Graph);
Node n1 = G.addNode(), n2 = G.addNode(),
n3 = G.addNode(), n4 = G.addNode();
Edge e1 = G.addEdge(n1, n2), e2 = G.addEdge(n2, n1),
e3 = G.addEdge(n2, n3), e4 = G.addEdge(n1, n4),
checkGraphNodeList(G, 4);
checkGraphEdgeList(G, 5);
checkGraphArcList(G, 10);
// Check changeU() and changeV()
checkGraphNodeList(G, 4);
checkGraphEdgeList(G, 5);
checkGraphArcList(G, 10);
checkGraphIncEdgeArcLists(G, n1, 3);
checkGraphIncEdgeArcLists(G, n2, 2);
checkGraphIncEdgeArcLists(G, n3, 3);
checkGraphIncEdgeArcLists(G, n4, 2);
checkGraphConEdgeList(G, 5);
checkGraphConArcList(G, 10);
checkGraphNodeList(G, 4);
checkGraphEdgeList(G, 5);
checkGraphArcList(G, 10);
checkGraphIncEdgeArcLists(G, n1, 2);
checkGraphIncEdgeArcLists(G, n2, 3);
checkGraphIncEdgeArcLists(G, n3, 3);
checkGraphIncEdgeArcLists(G, n4, 2);
checkGraphConEdgeList(G, 5);
checkGraphConArcList(G, 10);
G.contract(n1, n4, false);
checkGraphNodeList(G, 3);
checkGraphEdgeList(G, 5);
checkGraphArcList(G, 10);
checkGraphIncEdgeArcLists(G, n1, 4);
checkGraphIncEdgeArcLists(G, n2, 3);
checkGraphIncEdgeArcLists(G, n3, 3);
checkGraphConEdgeList(G, 5);
checkGraphConArcList(G, 10);
checkGraphNodeList(G, 2);
checkGraphEdgeList(G, 3);
checkGraphIncEdgeArcLists(G, n1, 4);
checkGraphIncEdgeArcLists(G, n2, 2);
checkGraphConEdgeList(G, 3);
checkGraphConArcList(G, 6);
TEMPLATE_GRAPH_TYPEDEFS(Graph);
Node n1 = G.addNode(), n2 = G.addNode(),
n3 = G.addNode(), n4 = G.addNode();
Edge e1 = G.addEdge(n1, n2), e2 = G.addEdge(n2, n1),
e3 = G.addEdge(n2, n3), e4 = G.addEdge(n1, n4),
checkGraphNodeList(G, 4);
checkGraphEdgeList(G, 4);
checkGraphIncEdgeArcLists(G, n1, 2);
checkGraphIncEdgeArcLists(G, n2, 2);
checkGraphIncEdgeArcLists(G, n3, 2);
checkGraphIncEdgeArcLists(G, n4, 2);
checkGraphConEdgeList(G, 4);
checkGraphConArcList(G, 8);
checkGraphNodeList(G, 3);
checkGraphEdgeList(G, 2);
checkGraphIncEdgeArcLists(G, n1, 2);
checkGraphIncEdgeArcLists(G, n2, 1);
checkGraphIncEdgeArcLists(G, n4, 1);
checkGraphConEdgeList(G, 2);
checkGraphConArcList(G, 4);
void checkGraphSnapshot() {
TEMPLATE_GRAPH_TYPEDEFS(Graph);
Node n1 = G.addNode(), n2 = G.addNode(), n3 = G.addNode();
Edge e1 = G.addEdge(n1, n2), e2 = G.addEdge(n2, n1),
checkGraphNodeList(G, 3);
checkGraphEdgeList(G, 3);
typename Graph::Snapshot snapshot(G);
checkGraphNodeList(G, 4);
checkGraphEdgeList(G, 6);
checkGraphArcList(G, 12);
checkGraphNodeList(G, 3);
checkGraphEdgeList(G, 3);
checkGraphIncEdgeArcLists(G, n1, 2);
checkGraphIncEdgeArcLists(G, n2, 3);
checkGraphIncEdgeArcLists(G, n3, 1);
checkGraphConEdgeList(G, 3);
checkGraphConArcList(G, 6);
G.addEdge(G.addNode(), G.addNode());
checkGraphNodeList(G, 4);
checkGraphEdgeList(G, 3);
G.addEdge(G.addNode(), G.addNode());
checkGraphNodeList(G, 4);
checkGraphEdgeList(G, 3);
void checkFullGraph(int num) {
check(G.nodeNum() == num && G.edgeNum() == num * (num - 1) / 2,
check(G.nodeNum() == num && G.edgeNum() == num * (num - 1) / 2,
checkGraphNodeList(G, num);
checkGraphEdgeList(G, num * (num - 1) / 2);
for (NodeIt n(G); n != INVALID; ++n) {
checkGraphOutArcList(G, n, num - 1);
checkGraphInArcList(G, n, num - 1);
checkGraphIncEdgeList(G, n, num - 1);
checkGraphConArcList(G, num * (num - 1));
checkGraphConEdgeList(G, num * (num - 1) / 2);
for (int i = 0; i < G.nodeNum(); ++i) {
check(G.index(G(i)) == i, "Wrong index");
for (NodeIt u(G); u != INVALID; ++u) {
for (NodeIt v(G); v != INVALID; ++v) {
check(e == INVALID, "Wrong edge lookup");
check(a == INVALID, "Wrong arc lookup");
check((G.u(e) == u && G.v(e) == v) ||
(G.u(e) == v && G.v(e) == u), "Wrong edge lookup");
check(G.source(a) == u && G.target(a) == v, "Wrong arc lookup");
{ // Checking graph components
checkConcept<BaseGraphComponent, BaseGraphComponent >();
checkConcept<IDableGraphComponent<>,
IDableGraphComponent<> >();
checkConcept<IterableGraphComponent<>,
IterableGraphComponent<> >();
checkConcept<MappableGraphComponent<>,
MappableGraphComponent<> >();
{ // Checking skeleton graph
checkConcept<Graph, Graph>();
checkConcept<Graph, ListGraph>();
checkConcept<AlterableGraphComponent<>, ListGraph>();
checkConcept<ExtendableGraphComponent<>, ListGraph>();
checkConcept<ClearableGraphComponent<>, ListGraph>();
checkConcept<ErasableGraphComponent<>, ListGraph>();
checkConcept<Graph, SmartGraph>();
checkConcept<AlterableGraphComponent<>, SmartGraph>();
checkConcept<ExtendableGraphComponent<>, SmartGraph>();
checkConcept<ClearableGraphComponent<>, SmartGraph>();
checkConcept<Graph, FullGraph>();
checkConcept<Graph, GridGraph>();
{ // Checking HypercubeGraph
checkConcept<Graph, HypercubeGraph>();
template <typename Graph>
void checkGraphValidity() {
TEMPLATE_GRAPH_TYPEDEFS(Graph);
check(g.valid(n1), "Wrong validity check");
check(g.valid(e1), "Wrong validity check");
check(g.valid(g.direct(e1, true)), "Wrong validity check");
check(!g.valid(g.nodeFromId(-1)), "Wrong validity check");
check(!g.valid(g.edgeFromId(-1)), "Wrong validity check");
check(!g.valid(g.arcFromId(-1)), "Wrong validity check");
template <typename Graph>
void checkGraphValidityErase() {
TEMPLATE_GRAPH_TYPEDEFS(Graph);
check(g.valid(n1), "Wrong validity check");
check(g.valid(e1), "Wrong validity check");
check(g.valid(g.direct(e1, true)), "Wrong validity check");
check(!g.valid(n1), "Wrong validity check");
check(g.valid(n2), "Wrong validity check");
check(g.valid(n3), "Wrong validity check");
check(!g.valid(e1), "Wrong validity check");
check(g.valid(e2), "Wrong validity check");
check(!g.valid(g.nodeFromId(-1)), "Wrong validity check");
check(!g.valid(g.edgeFromId(-1)), "Wrong validity check");
check(!g.valid(g.arcFromId(-1)), "Wrong validity check");
void checkGridGraph(int width, int height) {
check(G.width() == width, "Wrong column number");
check(G.height() == height, "Wrong row number");
check(G.width() == width, "Wrong column number");
check(G.height() == height, "Wrong row number");
for (int i = 0; i < width; ++i) {
for (int j = 0; j < height; ++j) {
check(G.col(G(i, j)) == i, "Wrong column");
check(G.row(G(i, j)) == j, "Wrong row");
check(G.pos(G(i, j)).x == i, "Wrong column");
check(G.pos(G(i, j)).y == j, "Wrong row");
for (int j = 0; j < height; ++j) {
for (int i = 0; i < width - 1; ++i) {
check(G.source(G.right(G(i, j))) == G(i, j), "Wrong right");
check(G.target(G.right(G(i, j))) == G(i + 1, j), "Wrong right");
check(G.right(G(width - 1, j)) == INVALID, "Wrong right");
for (int j = 0; j < height; ++j) {
for (int i = 1; i < width; ++i) {
check(G.source(G.left(G(i, j))) == G(i, j), "Wrong left");
check(G.target(G.left(G(i, j))) == G(i - 1, j), "Wrong left");
check(G.left(G(0, j)) == INVALID, "Wrong left");
for (int i = 0; i < width; ++i) {
for (int j = 0; j < height - 1; ++j) {
check(G.source(G.up(G(i, j))) == G(i, j), "Wrong up");
check(G.target(G.up(G(i, j))) == G(i, j + 1), "Wrong up");
check(G.up(G(i, height - 1)) == INVALID, "Wrong up");
for (int i = 0; i < width; ++i) {
for (int j = 1; j < height; ++j) {
check(G.source(G.down(G(i, j))) == G(i, j), "Wrong down");
check(G.target(G.down(G(i, j))) == G(i, j - 1), "Wrong down");
check(G.down(G(i, 0)) == INVALID, "Wrong down");
checkGraphNodeList(G, width * height);
checkGraphEdgeList(G, width * (height - 1) + (width - 1) * height);
checkGraphArcList(G, 2 * (width * (height - 1) + (width - 1) * height));
for (NodeIt n(G); n != INVALID; ++n) {
if (G.col(n) == width - 1) --nb;
if (G.row(n) == height - 1) --nb;
checkGraphOutArcList(G, n, nb);
checkGraphInArcList(G, n, nb);
checkGraphIncEdgeList(G, n, nb);
checkGraphConArcList(G, 2 * (width * (height - 1) + (width - 1) * height));
checkGraphConEdgeList(G, width * (height - 1) + (width - 1) * height);
void checkHypercubeGraph(int dim) {
GRAPH_TYPEDEFS(HypercubeGraph);
check(G.dimension() == dim, "Wrong dimension");
check(G.dimension() == dim, "Wrong dimension");
checkGraphNodeList(G, 1 << dim);
checkGraphEdgeList(G, dim * (1 << (dim-1)));
checkGraphArcList(G, dim * (1 << dim));
Node n = G.nodeFromId(dim);
for (NodeIt n(G); n != INVALID; ++n) {
checkGraphIncEdgeList(G, n, dim);
for (IncEdgeIt e(G, n); e != INVALID; ++e) {
G.id(G.v(e)) == (G.id(n) ^ (1 << G.dimension(e)))) ||
G.id(G.u(e)) == (G.id(n) ^ (1 << G.dimension(e)))),
"Wrong edge or wrong dimension");
checkGraphOutArcList(G, n, dim);
for (OutArcIt a(G, n); a != INVALID; ++a) {
check(G.source(a) == n &&
G.id(G.target(a)) == (G.id(n) ^ (1 << G.dimension(a))),
"Wrong arc or wrong dimension");
checkGraphInArcList(G, n, dim);
for (InArcIt a(G, n); a != INVALID; ++a) {
check(G.target(a) == n &&
G.id(G.source(a)) == (G.id(n) ^ (1 << G.dimension(a))),
"Wrong arc or wrong dimension");
checkGraphConArcList(G, (1 << dim) * dim);
checkGraphConEdgeList(G, dim * (1 << (dim-1)));
checkGraphBuild<ListGraph>();
checkGraphAlter<ListGraph>();
checkGraphErase<ListGraph>();
checkGraphSnapshot<ListGraph>();
checkGraphValidityErase<ListGraph>();
checkGraphBuild<SmartGraph>();
checkGraphSnapshot<SmartGraph>();
checkGraphValidity<SmartGraph>();
{ // Checking HypercubeGraph