int main( void ){
Timer T(true);
int final_nodes_num, edge_addition_num;
final_nodes_num = 30000;
edge_addition_num = 7;
ListGraph mGr;
lemon::Random mRandom;
mRandom.seedFromTime();
vector<int> nodeChoice;
set<int> mRndNodes;
vector<int> targets(edge_addition_num, -1);
int currentIndex = 0;
// First targets are all nodes
for(auto &v : targets){
v = currentIndex++;
mGr.addNode();
}
while (countNodes(mGr)<final_nodes_num ) {
// Add new node and connect to targets
currentIndex = mGr.id( mGr.addNode() );
for(const auto &v : targets ){
mGr.addEdge( mGr.nodeFromId( currentIndex ), mGr.nodeFromId( v ) );
}
// Add the nodes, which were connented again
nodeChoice.insert(nodeChoice.end(), targets.begin(), targets.end() );
nodeChoice.insert(nodeChoice.end(), edge_addition_num, currentIndex);
mRndNodes.clear();
while (mRndNodes.size() < edge_addition_num) {
mRndNodes.insert( nodeChoice[ mRandom.integer( nodeChoice.size() ) ] );
}
targets.clear();
targets.insert(targets.begin(), mRndNodes.begin(), mRndNodes.end() );
}
cout << "time: " << T.realTime() << endl;
cout << countNodes( mGr) << endl;
cout << countEdges( mGr) << endl;
graphWriter( mGr, "/Users/sonneundasche/Documents/FLI/DATA/05 LEMON Graphs/BaraBasiTEST.txt")
.run();
InDegMap<ListGraph> inDeg(mGr);
graphWriter( mGr, "/Users/sonneundasche/Documents/FLI/DATA/05 LEMON Graphs/BaraBasi_Degree_TEST.txt")
.nodeMap("degree", inDeg)
.skipEdges()
.run();
}
void ViewTspCircuit(TSP_Data &tsp)
{
ListGraph h;
ListGraph::NodeMap<string> h_vname(h); // node names
ListGraph::NodeMap<Node> h_g2h(tsp.g); // maps a node of g to a node of h
ListGraph::NodeMap<double> h_posx(h);
ListGraph::NodeMap<double> h_posy(h);
ListGraph::NodeMap<int> vcolor(h); // color of the vertices
ListGraph::EdgeMap<int> acolor(h); // color of edges
ListGraph::EdgeMap<string> aname(h); // name of edges
for (ListGraph::NodeIt v(tsp.g); v!=INVALID; ++v) {
Node hv;
hv = h.addNode();
h_g2h[v] = hv;
h_posx[hv] = tsp.posx[v];
h_posy[hv] = tsp.posy[v];
h_vname[hv] = tsp.vname[v];
vcolor[hv] = BLUE;
}
for (int i=0;i<tsp.NNodes;i++) {
ListGraph::Node u,v;
ListGraph::Edge a;
u = tsp.BestCircuit[i];
v = tsp.BestCircuit[(i+1) % tsp.NNodes];
a = h.addEdge(h_g2h[u] , h_g2h[v]);
aname[a] = "";
acolor[a] = BLUE;
}
ViewListGraph(h,h_vname,aname,h_posx,h_posy,vcolor,acolor,"TSP Circuit with cost "+DoubleToString(tsp.BestCircuitValue));
}
//Generate a random complete euclidean ListGraph
bool GenerateRandomEuclideanListGraph(ListGraph &g,
NodeStringMap &vname, // node names
NodePosMap& px, // x-position of the nodes
NodePosMap& py, // y-position of the nodes
EdgeValueMap& weight, // weight of edges
int n, // number of nodes
double SizeX, // coordinate x is a random number in [0,SizeX)
double SizeY) // coordinate y is a random number in [0,SizeY)
{
int i,j; // n=number of nodes
Node *V;
V = new Node[n];
if (V==NULL){
cout << "Memory allocation error, number of nodes " << n << " too large\n";
exit(0);}
for (i=0;i<n;i++) { // insert nodes (random points in [0,100] x [0,100] )
V[i] = g.addNode(); // generate a new node
px[V[i]] = SizeX*drand48();
py[V[i]] = SizeY*drand48();
vname[V[i]] = IntToString(i+1); // name of the node is i+1
}
for (i=0;i<n;i++)
for (j=i+1;j<n;j++) {
Edge e = g.addEdge(V[i],V[j]); // generate an edge
weight[e] = sqrt(pow(px[V[i]]-px[V[j]],2) + pow(py[V[i]]-py[V[j]],2));
}
delete[] V;
return(true);
}
// To read list of nodes in the format: <node_name> <double1> <double2>
void ReadListGraphNodes(ListGraph &g,int nnodes,ifstream & ifile,
#if __cplusplus >= 201103L
std::unordered_map<string,Node> & string2node,
#else
std::tr1::unordered_map<string,Node> & string2node,
#endif
NodeStringMap &vname,
NodePosMap &posx,
NodePosMap &posy)
{ string STR; Node u,v; string token;
for (int i=0;i<nnodes;i++) {
getline(ifile,STR);
if (ifile.eof()) {cout<<"Reached unexpected end of file.\n";exit(0);}
while (STR=="") getline(ifile,STR);
{ istringstream ins; // Declare an input string stream.
ins.str(STR); // Specify string to read.
for (int p=0; getline(ins, token, ' ') ; p++) {
if (p==0) { // For example, to read: node_name posx posy
auto test = string2node.find(token);
if (test!=string2node.end()){cout<<"ERROR: Repeated node: "<<token<<endl;exit(0);}
v = g.addNode(); string2node[token] = v; vname[v] = token;
posx[v]=DBL_MAX; posy[v]=DBL_MAX; }
else if (p==1) { posx[v] = atof(token.c_str());}
else if (p==2) { posy[v] = atof(token.c_str());}
}}
}
}
int ViewGomoryHuTree(ListGraph &g,
NodeStringMap& vname,
GomoryHu<ListGraph,
EdgeValueMap > &ght,
double threshold,
string text)
{
ListGraph T;
NodeNodeMap map(g);
Edge te;
EdgeStringMap tename(T); // name of T edges
NodeStringMap tvname(T); // name of T nodes
NodeColorMap tvcolor(T); // color of the vertices
EdgeColorMap tecolor(T); // color of the edges
for (NodeIt v(g); v != INVALID; ++v) {
map[v] = T.addNode();
tvname[map[v]] = vname[v];
tvcolor[map[v]] = BLACK;
}
for (NodeIt u(g); u != INVALID; ++u) {
if ((g).id(ght.predNode(u))==-1) continue;
te = T.addEdge(map[u], map[ght.predNode(u)]);
tename[te] = DoubleToString(ght.predValue(u));
if (ght.predValue(u)<threshold-MY_EPS)
tecolor[te] = RED;
else
tecolor[te] = BLUE;
}
return(ViewListGraph(g,tvname,tename,tvcolor,tecolor,text));
}
int ViewGomoryHuTree(ListGraph &g,
NodeStringMap &vname,
NodePosMap &px, // xy-coodinates for each node
NodePosMap &py, //
GomoryHu<ListGraph, EdgeValueMap > &ght,
string text)
{
ListGraph T;
NodeNodeMap map(g);
Edge te;
EdgeStringMap tename(T); // name of T edges
EdgeValueMap teweight(T); // name of T edges
NodeStringMap tvname(T); // name of T nodes
NodePosMap tpx(T); // xy-coodinates for each node
NodePosMap tpy(T); //
NodeColorMap tvcolor(T); // color of the vertices
EdgeColorMap tecolor(T); // color of the edges
for (NodeIt v(g); v != INVALID; ++v) {
map[v] = T.addNode();
tvname[map[v]] = vname[v];
tvcolor[map[v]] = WHITE;
tpx[map[v]] = px[v];
tpy[map[v]] = py[v];
}
for (NodeIt u(g); u != INVALID; ++u) {
if ((g).id(ght.predNode(u))==-1) continue;
te = T.addEdge(map[u], map[ght.predNode(u)]);
tename[te] = DoubleToString(ght.predValue(u));
teweight[te] = ght.predValue(u);
tecolor[te] = BLUE;
}
return(ViewListGraph(T,tvname,tename,tpx,tpy,tvcolor,tecolor,text));
}
// Generate a triangulated ListGraph, building the Delaunay
// triangulation of random points
// Uses the geompack program, available in
// http://people.sc.fsu.edu/~jburkardt/cpp_src/geompack/geompack.html
bool GenerateTriangulatedListGraph(ListGraph &g, // return with generated graph
NodeStringMap &vname, // return with name of the nodes
NodePosMap& px, // return with x-position of the nodes
NodePosMap& py, // return with y-position of the nodes
EdgeValueMap& weight, // return with weight of edges
int n, // number of nodes
double SizeX, // coordinate x is a random number in [0,SizeX)
double SizeY) // coordinate y is a random number in [0,SizeY)
{
int i; // n=number of nodes
int ntri; // number of Delaunay triangles
Node *V = new Node[n];
double *p = new double[2*n+2];// node coodinates are (x;y) = ( p[2*i] ; p[2*i+1] )
int *tri = new int[6*n]; // Each 3 elements are the indexes of a triangle
int *tri_nabe = new int[6*n];
if ((V==NULL)||(p==NULL)||(tri==NULL)||(tri_nabe==NULL)){
cout << "Memory allocation error, number of nodes " << n << " too large\n";
exit(0);}
for (i=0;i<n;i++) {
V[i] = g.addNode(); // gera um vértice nó do grafo
px[V[i]] = SizeX*drand48(); // nodes are random points
py[V[i]] = SizeY*drand48();
p[2*i] = px[V[i]];
p[2*i+1] = py[V[i]];
vname[V[i]] = IntToString(i+1); // name of the node is i+1
}
if (r8tris2 ( n, p, &ntri, tri, tri_nabe )) { printf("ERROR\n");Pause(); }
for (i=0;i<ntri;i++) {
int a,b,c;
a = tri[3*i]-1; b = tri[3*i+1]-1; c = tri[3*i+2]-1;
// each triangle if formed with nodes V[a] , V[b] , V[c]
// insert edges without duplications
if ((findEdge(g,V[a],V[b])==INVALID) && (findEdge(g,V[b],V[a])==INVALID)){
Edge e = g.addEdge(V[a],V[b]);
weight[e] = sqrt(pow(px[V[a]]-px[V[b]],2) + pow(py[V[a]]-py[V[b]],2));
}
if ((findEdge(g,V[a],V[c])==INVALID) && (findEdge(g,V[c],V[a])==INVALID)){
Edge e = g.addEdge(V[a],V[c]);
weight[e] = sqrt(pow(px[V[a]]-px[V[c]],2) + pow(py[V[a]]-py[V[c]],2));
}
if ((findEdge(g,V[b],V[c])==INVALID) && (findEdge(g,V[c],V[b])==INVALID)) {
Edge e = g.addEdge(V[b],V[c]);
weight[e] = sqrt(pow(px[V[b]]-px[V[c]],2) + pow(py[V[b]]-py[V[c]],2));
}
}
delete[] V;
delete[] p;
delete[] tri;
delete[] tri_nabe;
return(true);
}
int main( void ){
Timer T(true);
int init_nodes_num, final_nodes_num, edge_addition_num;
init_nodes_num = 10;
final_nodes_num = 50;
edge_addition_num = 7;
typedef ListEdgeSet< ListGraph > EdgeSet;
ListGraph mListGraph;
EdgeSet mNewEdges( mListGraph );
FullGraph fg(init_nodes_num);
GraphCopy<FullGraph, ListGraph> cg( fg, mListGraph); // Create the seed nodes
cg.run();
int mNumEdges = countEdges( mListGraph );
EdgeSet::Edge e;
lemon::Random mRandom;
mRandom.seedFromTime();
ListGraph::Node newNode, randNode;
// new edges will be saved seperatly in an EdgeSet, not to change the original node degrees
for ( int i = init_nodes_num; i < final_nodes_num; i++){
mNumEdges = countEdges( mListGraph );
mNewEdges.clear();
newNode = mListGraph.addNode();
while ( countEdges( mNewEdges ) != edge_addition_num ) {
randNode = mListGraph.nodeFromId( mRandom[ mListGraph.maxNodeId() ] ) ;
// --- CALCULATE THE PROBABILITY
if ( mRandom.real() < (( (double)(countIncEdges(mListGraph, randNode)) / (double)( 2*mNumEdges ) )) ){
if ( findEdge( mNewEdges, newNode, randNode ) == INVALID){ // does the edge already exist?
mNewEdges.addEdge( newNode, randNode );
}
}
}
// Create the new edges in the original graph
for (EdgeSet::EdgeIt e( mNewEdges ); e!=INVALID; ++e){
mListGraph.addEdge( mNewEdges.u( e ), mNewEdges.v(e) );
}
}
cout << T.realTime() << endl;
cout << countEdges( mListGraph) << endl;
cout << countEdges( fg ) << endl;
}
bool ReadEuclideanListGraph(string filename,
ListGraph &g,
NodeStringMap & vname,
EdgeValueMap & custo,
NodePosMap & posx,
NodePosMap & posy,
NodeBoolMap& is_terminal)
{
int i,n,m, terminal;
Node nu,nv;
Edge a;
char nomev[100];
Node v;
double px,py;
ifstream ifile; ifile.open(filename.c_str()); if (!ifile) return(false);
PulaBrancoComentario(ifile);
// format: <number_of_nodes> -1
// The value -1 is to indicate that there is no edge/arc, as edge weights
// are given by the euclidean distance
ifile >> n; ifile >> m;
if (m!=-1) {
printf("Wrong format in the euclidean graph of file %s.\n",filename.c_str());
return(false);
}
for (i=0;i<n;i++) {
ifile >> nomev; ifile >> px; ifile >> py; ifile >> terminal;
v = g.addNode(); vname[v] = nomev; posx[v] = px; posy[v] = py;
if(terminal == 0) is_terminal[v] = false;
else is_terminal[v] = true;
}
for (NodeIt v(g); v!=INVALID; ++v) {
NodeIt u(g);
u=v;
for (++u; u!=INVALID; ++u) {
a = g.addEdge(u,v);
custo[a] = sqrt((posx[u]-posx[v])*(posx[u]-posx[v]) +
(posy[u]-posy[v])*(posy[u]-posy[v]));
}
}
ifile.close();
return(true);
}
//指定一些特殊分支,要求搜索一条路径时尽可能多的通过这些特殊分支
//例如:搜索一条串联通风路径(通过多个用风地点的一条路径)
//采用二分匹配实现失败!!!
static bool MaxKeyEdgePass_Match(Digraph& dg, EdgeArray& airEdges, Digraph::Node s, Digraph::Node t, EdgeArray& mpp)
{
EdgeArray p;
if(!GraphUtils::DFS_Path(dg, s, t, p)) return false;
typedef Digraph::NodeMap<Digraph::Node> DDMap;
DDMap ddm(dg, INVALID);
NodeArray left, right;
left.push_back(s); right.push_back(t);
for(size_t i=0;i<airEdges.size();i++)
{
Digraph::Arc e = airEdges[i];
Digraph::Node u = dg.source(e);
Digraph::Node v = dg.target(e);
p.clear();
bool ret = GraphUtils::DFS_Path(dg, v, t, p);
if(!ret) continue;
p.clear();
ret = GraphUtils::DFS_Path(dg, s, u, p);
if(!ret) continue;
left.push_back(v); right.push_back(u);
}
//cout<<"left="<<left.size()<<" right="<<right.size()<<endl;
ListGraph g;
ListGraph::NodeMap<Digraph::Node> udm(g);
typedef std::vector<ListGraph::Node> UNodeArray;
UNodeArray left_nodes, right_nodes;
typedef std::map<Digraph::Node, ListGraph::Node> DUMap;
DUMap dum;
//添加节点
for(size_t i=0;i<left.size();i++)
{
Digraph::Node u = left[i];
ListGraph::Node uu = g.addNode();
udm[uu] = u; left_nodes.push_back(uu);
//cout<<dg.id(u)<< " ";
}
//cout<<endl;
for(size_t i=0;i<right.size();i++)
{
Digraph::Node u = right[i];
ListGraph::Node uu = g.addNode();
udm[uu] = u; right_nodes.push_back(uu);
//cout<<dg.id(u)<<" ";
}
//cout<<endl;
for(size_t i=0;i<right.size();i++)
{
Digraph::Node u = right[i];
ListGraph::Node uu = g.addNode();
udm[uu] = u; left_nodes.push_back(uu);
//cout<<dg.id(u)<< " ";
}
//cout<<endl;
for(size_t i=0;i<left.size();i++)
{
Digraph::Node u = left[i];
ListGraph::Node uu = g.addNode();
udm[uu] = u; right_nodes.push_back(uu);
//cout<<dg.id(u)<< " ";
}
//cout<<endl;
//添加分支
for(size_t i=0;i<left_nodes.size();i++)
{
ListGraph::Node uv = left_nodes[i];
for(size_t j=0;j<right_nodes.size();j++)
{
ListGraph::Node uu = right_nodes[j];
Digraph::Node v = udm[uv];
Digraph::Node u = udm[uu];
if(u == v) continue;
p.clear();
if(GraphUtils::DFS_Path(dg, v, u, p))
{
//ListGraph::Node uv = left_nodes[i];
//ListGraph::Node uu = right_nodes[j];
ListGraph::Edge e = g.addEdge(uu,uv);
//cout<<"二分图:"<<dg.id(v)<<"<-->"<<dg.id(u)<<endl;
}
}
}
//二分图最大匹配
MaxMatching<ListGraph> mm(g);
mm.run();
//cout<<"分支数:"<<countEdges(g)<<" 匹配数:"<<mm.matchingSize()<<endl;
for(ListGraph::EdgeIt e(g);e!=INVALID;++e)
{
if(mm.matching(e))
{
ListGraph::Node du = g.u(e);
ListGraph::Node dv = g.v(e);
Digraph::Node u = udm[du];
Digraph::Node v = udm[dv];
//cout<<"匹配:"<<dg.id(v)<<"<-->"<<dg.id(u)<<endl;
if(ddm[u] != INVALID && ddm[v] == INVALID)
{
ddm[v] = u;
//cout<<" v"<<dg.id(v)<<"-->v"<<dg.id(u) <<" v"<<dg.id(u)<<"-->"<<dg.id(ddm[u])<<endl;
}
else if(ddm[v] != INVALID && ddm[u] == INVALID)
{
ddm[u] = v;
//cout<<" v"<<dg.id(v)<<"-->v"<<dg.id(ddm[v]) <<" v"<<dg.id(u)<<"-->"<<dg.id(v)<<endl;
}
}
}
NodeArray node_path;
Digraph::Node u = s;
bool ret = true;
while(u != t)
{
Digraph::Node v = ddm[u];
//cout<<dg.id(u)<<"->"<<endl;
if(v == INVALID)
{
//cout<<"错误"<<endl;
ret = false;
break;
}
//cout<<" ->"<<dg.id(v)<<" "<<endl;
node_path.push_back(v);
u = v;
}
if(ret)
{
u = s;
for(size_t i=0;i<node_path.size();i++)
{
Digraph::Node v = node_path[i];
GraphUtils::DFS_Path(dg, u, v, mpp);
u = v;
}
}
return ret;
}
int Steiner::steiner(const set<ListGraph::Node> terminals)
{
if (this->s != 0) delete this->s;
this->s = new ListGraph();
if (this->sweight != 0) delete this->sweight;
this->sweight = new ListGraph::EdgeMap<int>(*this->s);
// perform dijkstra for every terminal
ListGraph::NodeMap<Dijkstra*> dijk(this->g);
for (set<ListGraph::Node>::iterator it = terminals.begin(); it != terminals.end(); ++it)
{
dijk[*it] = new Dijkstra(this->g, this->weight);
dijk[*it]->dijkstra(*it);
}
// build intermediate graph
ListGraph intermediate;
ListGraph::EdgeMap<int> iweight(intermediate);
map<ListGraph::Node, ListGraph::Node> imapper;
for (set<ListGraph::Node>::iterator it = terminals.begin(); it != terminals.end(); ++it)
{
ListGraph::Node n = intermediate.addNode();
imapper[n] = *it;
}
for (ListGraph::NodeIt it1(intermediate); it1 != INVALID; ++it1)
{
ListGraph::NodeIt it2 = it1;
for (++it2; it2 != INVALID; ++it2)
{
ListGraph::Edge e = intermediate.addEdge(it1, it2);
iweight[e] = (*dijk[imapper[it1]]->dist)[imapper[it2]];
}
}
// compute mst
MST mst(intermediate, iweight);
mst.prim();
// Kruskal mst(intermediate, iweight);
// mst.kruskal();
// build final graph
map<ListGraph::Node, ListGraph::Node> smapper;
for (set<ListGraph::Edge>::iterator it = mst.mst->begin(); it != mst.mst->end(); ++it)
{ // for each edge in the mst
// add end nodes to graph
ListGraph::Node u = imapper[intermediate.u(*it)];
if (smapper.count(u) == 0) smapper[u] = this->s->addNode();
ListGraph::Node v = imapper[intermediate.v(*it)];
if (smapper.count(v) == 0) smapper[v] = this->s->addNode();
ListGraph::Node last = v;
ListGraph::Node cur = v;
do
{ // walk through path
cur = (*dijk[u]->pred)[cur];
if (smapper.count(cur) == 0) smapper[cur] = this->s->addNode();
// add edge to graph, if not already existing
if (findEdge(*this->s, smapper[last], smapper[cur]) == INVALID)
{
ListGraph::Edge e = this->s->addEdge(smapper[last], smapper[cur]);
(*this->sweight)[e] = (*dijk[u]->dist)[last] - (*dijk[u]->dist)[cur];
}
last = cur;
}
while (cur != u);
}
// compute overall weight
int overallw = 0;
for (ListGraph::EdgeIt e(*this->s); e != INVALID; ++e)
{
overallw += (*this->sweight)[e];
}
// clean up dijkstras
for (set<ListGraph::Node>::iterator it = terminals.begin(); it != terminals.end(); ++it)
{
delete dijk[*it];
}
return overallw;
}
void callback()
{ // --------------------------------------------------------------------------------
// get the correct function to obtain the values of the lp variables
if (where==GRB_CB_MIPSOL) // if this condition is true, all variables are integer
{solution_value = &subtourelim::getSolution;}
else if ((where==GRB_CB_MIPNODE) &&
(getIntInfo(GRB_CB_MIPNODE_STATUS)==GRB_OPTIMAL))// node with optimal fractional solution
{solution_value = &subtourelim::getNodeRel;}
else return; // return, as this code do not take advantage of the other options
// --------------------------------------------------------------------------------
// Stores the edges with fractional values and integer values
vector<Edge> FracEdges,OneEdges;
// produces a subgraph h of g, with edges e with x[e]==1
// contracted, so we can apply Gomory-Hu tree in a small graph
ListGraph::EdgeMap<bool> one_filter(tsp.g, false); // start without any edge
ListGraph::EdgeMap<bool> non_zero_filter(tsp.g, false); // start without any edge
for (EdgeIt e(tsp.g); e != INVALID; ++e) {
if ((this->*solution_value)(x[e]) > 1-MY_EPS)
OneEdges.push_back(e); // stores the edges with x[e]==1
else if ((this->*solution_value)(x[e]) > MY_EPS)
FracEdges.push_back(e); // includes edges with 0 < x[e] < 1
}// define the subgraph with edges that have x[e]==1
try {
// --------------------------------------------------------------------------------
// Use union-find to contract nodes (to obtain graph where each componente of g is contracted)
//for (int i=0;i<tsp.NNodes;i++) UFIndexToNode[i]=INVALID;
ListGraph::NodeMap<int> aux_map(tsp.g);
UnionFind<ListGraph::NodeMap<int> > UFNodes(aux_map);
for (NodeIt v(tsp.g); v!=INVALID; ++v) UFNodes.insert(v);
for (vector<Edge>::iterator e_it=OneEdges.begin(); e_it != OneEdges.end(); ++e_it)
UFNodes.join(tsp.g.u(*e_it),tsp.g.v(*e_it));// No problem if they are in a same component
// --------------------------------------------------------------------------------
// Put in a separate set all edges that are not inside a component
vector<Edge> CrossingEdges;
for (EdgeIt e(tsp.g); e != INVALID; ++e)
if (UFNodes.find(tsp.g.u(e)) != UFNodes.find(tsp.g.v(e)))
CrossingEdges.push_back(e);
// --------------------------------------------------------------------------------
// Generate an inverted list UFIndexToNode to find the node that represents a component
vector<bool> ComponentIndex(tsp.NNodes);
vector<Node> Index2h(tsp.NNodes);
for(int i=0;i<tsp.NNodes;i++) ComponentIndex[i]=false;
for (NodeIt v(tsp.g); v!=INVALID; ++v) ComponentIndex[UFNodes.find(v)]=true;
// --------------------------------------------------------------------------------
// Generate graph of components, add one node for each component and edges
ListGraph h;
EdgeValueMap h_capacity(h);
for(int i=0;i<tsp.NNodes;i++) // add nodes to the graph h
if (ComponentIndex[i]) Index2h[i]=h.addNode();
for (vector<Edge>::iterator e_it=FracEdges.begin(); e_it != FracEdges.end(); ++e_it){
Node u = tsp.g.u(*e_it), v = tsp.g.v(*e_it),
hu = Index2h[UFNodes.find(u)], hv = Index2h[UFNodes.find(v)];
Edge a = h.addEdge(hu , hv ); // add edges to the graph h
h_capacity[a] = (this->*solution_value)(x[*e_it]);
}
// create a map to terminals
NodeBoolMap HasTerminal(h);
for (NodeIt uit(tsp.g); uit!=INVALID; ++uit)
{
// if it is not a station
if(!postos[uit])
{
HasTerminal[Index2h[UFNodes.find(uit)]] = true;
}
}
// add the source to the 'terminal'
HasTerminal[Index2h[UFNodes.find(source)]] = true;
// --------------------------------------------------------------------------------
GomoryHu<ListGraph, EdgeValueMap> ght(h, h_capacity); ght.run();
// The Gomory-Hu tree is given as a rooted directed tree. Each node has
// an arc that points to its father. The root node has father -1.
// Remember that each arc in this tree represents a cut and the value of
// the arc is the weight of the corresponding cut. So, if an arc has weight
// less than 2, then we found a violated cut and in this case, we insert the
// corresponding constraint.
NodeBoolMap cutmap(h);
for (NodeIt u(h); u != INVALID; ++u) {
GRBLinExpr expr = 0;
if (ght.predNode(u)==INVALID) continue; // skip the root node
if (ght.predValue(u) > 2.0 - MY_EPS) continue; // value of the cut is good
// this cut violate this conditions
// check if there is a terminal in both components
if (HasTerminal[u] && HasTerminal[ght.predNode(u)])
{
ght.minCutMap(u, ght.predNode(u), cutmap); // now, we have a violated cut
// Percorre as arestas que cruzam alguma componente e insere as que pertencem ao corte
for (vector<Edge>::iterator e_it=CrossingEdges.begin();e_it!=CrossingEdges.end();++e_it){
Node u=tsp.g.u(*e_it), v=tsp.g.v(*e_it),
hu = Index2h[UFNodes.find(u)], hv=Index2h[UFNodes.find(v)];
if (cutmap[hu] != cutmap[hv])
expr += x[*e_it];
}
addLazy( expr >= 2 );
}
}
// Insere a restricao de sub caminho -------------------------------
// -----------------------------------------------------------------
// Mapeia as arestas da solucao
int uncovered = 0;
EdgeBoolMap covered(tsp.g, false);
EdgeBoolMap active(tsp.g, false);
for (EdgeIt a(tsp.g); a!=INVALID; ++a)
{
if (getSolution(x[a]) > 1 - MY_EPS)
{
active[a] = true;
uncovered++;
}
else
{
active[a] = false;
}
}
// -----------------------------------------------------------------
// Percorre os caminhos e insere as restricoes de consumo
GRBLinExpr expr = 0;
Node u = source;
bool changed = false;
while (uncovered > 0)
{
// u := vertice atual
// v := vertice destino
// a := arco percorrido
for (ListGraph::IncEdgeIt ait(tsp.g,u); ait!=INVALID; ++ait)
{
// verifica se o arco esta na solucao
Edge a(ait);
if (active[a] && !covered[a])
{
// soma a distancia percorrida
changed = true;
expr += x[a]*tsp.weight[a];
// verifica se o node destino e um posto
Node v = tsp.g.v(a);
if (u == v)
{
v = tsp.g.u(a);
}
if (postos[v])
{
// se for um posto, termina aqui uma restricao de consumo
addLazy( expr <= delta);
expr = 0;
}
// atualiza o valor do vertice atual e diminui as arestas
// que ainda nao foram cobertas
u = v;
covered[a] = true;
uncovered--;
break;
}
}
// check the changed
if (changed)
{
changed = false;
}
else // it is a dead end
{
break;
}
}
// cout << "TERMINANDO CALLBACK" << endl;
} catch (...) {
cout << "Error during callback..." << endl;
}
}
// ATENÇÃO: Não modifique a assinatura deste método.
bool brach_and_bound999999(TSP_Data_R &tsp, const vector<DNode> &terminais, const vector<DNode> &postos,
const DNode source,
int delta, int maxTime, vector<DNode> &sol, double &lbound){
// Converte o TSP direcionado para um nao direcionado com duas arestas
ListGraph graph;
EdgeValueMap weights(graph);
// Adiciona os nos
for (ListDigraph::NodeIt u(tsp.g); u!=INVALID; ++u)
{
Node v = graph.addNode();
}
// Adiciona as arestas
for (ListDigraph::ArcIt ait(tsp.g); ait!=INVALID; ++ait)
{
// pega os dois nos incidentes
Arc a(ait);
DNode u = tsp.g.source(a);
DNode v = tsp.g.target(a);
// cria a mesma aresta no grafo não direcionado
Node gu = graph.nodeFromId(tsp.g.id(u));
Node gv = graph.nodeFromId(tsp.g.id(v));
// insere a aresta no grafo nao direcionado
Edge e = graph.addEdge(gu, gv);
// Atribui pesos as arestas
weights[e] = tsp.weight[a];
}
NodeStringMap nodename(graph);
NodePosMap posicaox(graph);
NodePosMap posicaoy(graph);
TSP_Data utsp(graph, nodename, posicaox, posicaoy, weights);
// utiliza o convertido
ListGraph::EdgeMap<GRBVar> x(graph);
GRBEnv env = GRBEnv();
GRBModel model = GRBModel(env);
// TODO: [Opcional] Comente a linha abaixo caso não queira inserir cortes durante a execução do B&B
model.getEnv().set(GRB_IntParam_LazyConstraints, 1);
model.getEnv().set(GRB_IntParam_Seed, 0);
model.set(GRB_StringAttr_ModelName, "TSPR - TSP with Refueling"); // name to the problem
model.set(GRB_IntAttr_ModelSense, GRB_MINIMIZE); // is a minimization problem
// Add one binary variable for each arc and also sets its cost in the objective function
for (EdgeIt e(utsp.g); e!=INVALID; ++e) {
char name[100];
Edge edge(e);
unsigned uid = utsp.g.id(utsp.g.u(edge));
unsigned vid = utsp.g.id(utsp.g.v(edge));
sprintf(name,"x_%s_%s",tsp.vname[tsp.g.nodeFromId(uid)].c_str(),tsp.vname[tsp.g.nodeFromId(vid)].c_str());
x[e] = model.addVar(0.0, 1.0, utsp.weight[e],GRB_BINARY,name);
}
model.update(); // run update to use model inserted variables
// converte os terminais e os postos
vector<Node> uterminais;
for (auto t : terminais)
{
unsigned tid = tsp.g.id(t);
uterminais.push_back(utsp.g.nodeFromId(tid));
}
NodeBoolMap upostos(utsp.g, false);
for (auto p: postos)
{
unsigned pid = tsp.g.id(p);
// upostos.push_back(utsp.g.nodeFromId(pid));
upostos[utsp.g.nodeFromId(pid)] = true;
}
// Adicione restrições abaixo
// (1) Nós terminais devem ser visitados exatamente uma vez
for (auto v : uterminais) {
GRBLinExpr expr = 0;
for (IncEdgeIt e(utsp.g,v); e!=INVALID; ++e){
expr += x[e];
}
model.addConstr(expr == 2 );
}
// (3) Nó source sempre presente no início do caminho
Node usource = utsp.g.nodeFromId(tsp.g.id(source));
GRBLinExpr expr = 0;
for (IncEdgeIt e(utsp.g,usource); e!=INVALID; ++e){
expr += x[e];
}
model.addConstr(expr >= 1 );
try {
model.update(); // Process any pending model modifications.
//if (maxTime >= 0) model.getEnv().set(GRB_DoubleParam_TimeLimit,maxTime);
subtourelim cb = subtourelim(utsp , x, usource, upostos, delta);
model.setCallback(&cb);
// TODO: [Opcional] Pode-se utilizar o valor de uma solução heurística p/ acelerar o algoritmo B&B (cutoff value).
//cutoff = tsp.BestCircuitValue-MY_EPS;
double cutoff = 0.0;
if (cutoff > MY_EPS) model.getEnv().set(GRB_DoubleParam_Cutoff, cutoff );
model.update(); // Process any pending model modifications.
model.optimize();
// Obtém o status da otimização
int status = model.get(GRB_IntAttr_Status);
if(status == GRB_INFEASIBLE || status == GRB_INF_OR_UNBD){
cout << "Modelo inviavel ou unbounded." << endl;
return false;
}
// Limitante inferior e superior do modelo
//lbound = model.get(GRB_DoubleAttr_ObjBoundC);
if( model.get(GRB_IntAttr_SolCount) <= 0 ){
cout << "Modelo nao encontrou nenhuma solucao viavel no tempo. LowerBound = " << lbound << endl;
return false;
}
else if (status == GRB_OPTIMAL){
if(verbose) cout << "O modelo foi resolvido ate a otimalidade." << endl;
}
else {
if(verbose) cout << "O modelo encontrou uma solucao sub-otima (i.e. nao ha garantia de otimalidade)." << endl;
}
double custo_solucao = model.get(GRB_DoubleAttr_ObjVal);
int uncovered=0;
EdgeBoolMap cover(utsp.g, false);
for (EdgeIt e(utsp.g); e!=INVALID; ++e)
{
if (BinaryIsOne(x[e].get(GRB_DoubleAttr_X)))
{
cover[e] = true;
uncovered++;
}
}
sol.push_back(tsp.g.nodeFromId(utsp.g.id(usource)));
convertSol(x, sol, tsp, utsp, usource, cover, uncovered);
// Calculo manual do custo da solução (deve ser igual ao ObjVal do Gurobi).
double soma=0.0;
ArcName aname(tsp.g);
vector<Arc> edgesSol;
ArcColorMap acolor(tsp.g);
// if( verbose ) cout << "####### " << endl << "Edges of Solution (B&B):" << endl;
// for (EdgeIt e(utsp.g); e!=INVALID; ++e){
// if (BinaryIsOne(x[e].get(GRB_DoubleAttr_X))){ // Note que se este método serve para variáveis binárias, p/ inteiras terá de usar outro método.
// soma += utsp.weight[e];
// edgesSol.push_back(tsp.g.arcFromId(utsp.g.id(e)));
// if( verbose) cout << "(" << tsp.vname[tsp.g.nodeFromId(utsp.g.id(utsp.g.u(e)))] << "," << tsp.vname[tsp.g.nodeFromId(utsp.g.id(utsp.g.v(e)))] << ")" << endl;
// acolor[tsp.g.arcFromId(utsp.g.id(e))] = BLUE;
// }
// }
// if( verbose ) cout << "####### " << endl;
if( verbose ) cout << "####### " << endl << "Edges of Solution (B&B):" << endl;
DNode u = sol[0];
for (int i=1; i<sol.size(); i++)
{
DNode v = sol[i];
soma += tsp.AdjMatD.Cost(u,v);
if ( verbose ) cout << "(" << tsp.vname[u] << "," << tsp.vname[v] << ")" << endl;
u = v;
}
if( verbose ) cout << "####### " << endl;
if( verbose ) cout << "Custo calculado pelo B&B = "<< soma << " / " << custo_solucao << endl;
if( verbose ){
cout << "Caminho encontrado a partir do vértice de origem (" << tsp.vname[source] << "): ";
for(auto node : sol){
cout << tsp.vname[node] << " ";
} // Obs: O caminho é gerado a partir do nó source, se o conjunto de arestas retornado pelo B&B for desconexo, o caminho retornado por 'path_search' será incompleto.
cout << endl << "Custo calculado da solucao (caminho a partir do no origem) = " << solutionCost(tsp, sol) << endl;
ostringstream out;
out << "TSP with Refueling B&B, cost= " << custo_solucao;
ViewListDigraph(tsp.g, tsp.vname, tsp.posx, tsp.posy, tsp.vcolor, acolor, out.str());
}
return true;
}
catch(GRBException e) {
cerr << "Gurobi exception has been thrown." << endl;
cerr << "Error code = " << e.getErrorCode() << endl;
cerr << e.getMessage();
}
catch (...) {
cout << "Model is infeasible" << endl;
return false;
}
return false;
}
void IMFT<Ptr>::twoFrameCorresponding(vector<ListGraph::Node> vecUFrame, vector<ListGraph::Node> vecVFrame)
{
if(m_isDebug) printf("2-Frame Corresponding : # F1 - %d, # F2 - %d\n", vecUFrame.size(), vecVFrame.size());
// make graph, weight map
ListGraph g;
ListGraph::NodeMap<V> gNodeMap(g);
ListGraph::EdgeMap<double> gEdgeMap(g);
// make nodes of UFrame : save node id of UFrame
for(int i=0;i<vecUFrame.size();i++){
ListGraph::Node n = g.addNode();
V v;
v.id = m_g.id(vecUFrame.at(i));
v.ptr = (*m_gNodeMap)[vecUFrame.at(i)].ptr;
v.nFrame = 1;
gNodeMap[n] = v;
}
// make nodes of VFrame : save node id of VFrame
for(int i=0;i<vecVFrame.size();i++){
ListGraph::Node n = g.addNode();
V v;
v.id = m_g.id(vecVFrame.at(i));
v.ptr = (*m_gNodeMap)[vecVFrame.at(i)].ptr;
v.nFrame = 2;
gNodeMap[n] = v;
// connection
for(ListGraph::NodeIt pn(g); pn != INVALID; ++pn){
if(gNodeMap[pn].nFrame != v.nFrame){
double weight = gain(gNodeMap[pn], v);
gEdgeMap[g.addEdge(pn,n)] = weight;
// ListGraph::Edge e = g.addEdge(pn,n);
// gEdgeMap[e] = weight;
// gNodeMap[m_g.u(e)].edgeID = g.id(e);
// gNodeMap[m_g.v(e)].edgeID = g.id(e);
}
}
}
// maximum weighted matching
MaxWeightedMatching<ListGraph, ListGraph::EdgeMap<double> > mwm(g, gEdgeMap);
mwm.run();
int wsum = mwm.matchingWeight();
if(m_isDebug) printf("2-Frame Max = %d\n", wsum);
// make edges of original graph using original nodes' ids
for(ListGraph::EdgeIt e(g); e != INVALID; ++e){
if(mwm.matching(e)){
int origUId = gNodeMap[g.u(e)].id;
int origVId = gNodeMap[g.v(e)].id;
ListGraph::Node newU, newV;
newU = m_g.nodeFromId(origUId);
newV = m_g.nodeFromId(origVId);
if(m_isDebug) printf("2-Frame Connection %d, %d nodes\n", origUId, origVId);
double weight = gain((*m_gNodeMap)[newU], (*m_gNodeMap)[newV]);
ListGraph::Edge e = m_g.addEdge(newU,newV);
(*m_gEdgeMap)[e] = weight;
(*m_gNodeMap)[m_g.u(e)].edgeID = m_g.id(e);
(*m_gNodeMap)[m_g.v(e)].edgeID = m_g.id(e);
// if u가 track이 없으면, track 생성하고, v도 track에 집어 넣음.
// u가 track이 있으면, v를 그 track에 집어 넣음.
if(cnt > m_nWindow){
int vId = m_g.id(m_g.u(e))-1;
if(!(*m_gNodeMap)[m_g.nodeFromId(vId)].isTrack){
// generate a track of vId
m_cntTrack ++;
Track track;
track.setNum(m_cntTrack);
track.putNode((*m_gNodeMap)[m_g.nodeFromId(vId)].ptr, vId, (*m_gNodeMap)[m_g.nodeFromId(vId)].nFrame);
(*m_gNodeMap)[m_g.nodeFromId(vId)].isTrack = 1;
(*m_gNodeMap)[m_g.nodeFromId(vId)].nTrack = m_cntTrack;
if(m_isDebug) printf("Generate new track # %d of node %d\n", m_cntTrack, vId);
// add v(e) to the track
track.putNode((*m_gNodeMap)[m_g.v(e)].ptr, m_g.id(m_g.v(e)), (*m_gNodeMap)[m_g.v(e)].nFrame);
(*m_gNodeMap)[m_g.v(e)].isTrack = 1;
(*m_gNodeMap)[m_g.v(e)].nTrack = m_cntTrack;
m_tracks.push_back(track);
}
else{
// add v(e) to the track
for(int i=0;i<m_tracks.size();i++){
if(m_tracks.at(i).num() == (*m_gNodeMap)[m_g.nodeFromId(vId)].nTrack){
m_tracks.at(i).putNode((*m_gNodeMap)[m_g.v(e)].ptr, m_g.id(m_g.v(e)), (*m_gNodeMap)[m_g.v(e)].nFrame);
(*m_gNodeMap)[m_g.v(e)].nTrack = (*m_gNodeMap)[m_g.nodeFromId(vId)].nTrack;
(*m_gNodeMap)[m_g.v(e)].isTrack = 1;
if(m_isDebug) printf("put node %d to the track %d\n", m_g.id(m_g.v(e)), (*m_gNodeMap)[m_g.v(e)].nTrack);
break;
}
}
}
}
}
}
}