2002-02-26 18:58:39 +00:00
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//===--Graph.cpp--- implements Graph class ---------------- ------*- C++ -*--=//
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//
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// This implements Graph for helping in trace generation
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2002-02-26 19:40:28 +00:00
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// This graph gets used by "ProfilePaths" class
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2002-02-26 18:58:39 +00:00
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//
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//===----------------------------------------------------------------------===//
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#include "Graph.h"
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#include "llvm/BasicBlock.h"
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#include <algorithm>
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2002-02-26 19:40:28 +00:00
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#include <iostream>
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using std::list;
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using std::set;
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using std::map;
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using std::vector;
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using std::cerr;
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2002-02-26 18:58:39 +00:00
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static const graphListElement *findNodeInList(const Graph::nodeList &NL,
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Node *N) {
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for(Graph::nodeList::const_iterator NI = NL.begin(), NE=NL.end(); NI != NE;
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++NI)
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if (*NI->element== *N)
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return &*NI;
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return 0;
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}
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static graphListElement *findNodeInList(Graph::nodeList &NL, Node *N) {
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for(Graph::nodeList::iterator NI = NL.begin(), NE=NL.end(); NI != NE; ++NI)
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if (*NI->element== *N)
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return &*NI;
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return 0;
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}
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//graph constructor with root and exit specified
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Graph::Graph(std::set<Node*> n, std::set<Edge> e,
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Node *rt, Node *lt){
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strt=rt;
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ext=lt;
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for(set<Node* >::iterator x=n.begin(), en=n.end(); x!=en; ++x)
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nodes[*x] = list<graphListElement>();
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for(set<Edge >::iterator x=e.begin(), en=e.end(); x!=en; ++x){
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Edge ee=*x;
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int w=ee.getWeight();
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nodes[ee.getFirst()].push_front(graphListElement(ee.getSecond(),w));
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}
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}
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//check whether graph has an edge
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//having an edge simply means that there is an edge in the graph
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//which has same endpoints as the given edge
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bool Graph::hasEdge(Edge ed) const{
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if(ed.isNull())
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return false;
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nodeList nli=getNodeList(ed.getFirst());
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Node *nd2=ed.getSecond();
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return (findNodeInList(nli,nd2)!=NULL);
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}
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//check whether graph has an edge, with a given wt
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//having an edge simply means that there is an edge in the graph
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//which has same endpoints as the given edge
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//This function checks, moreover, that the wt of edge matches too
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bool Graph::hasEdgeAndWt(Edge ed) const{
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if(ed.isNull())
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return false;
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Node *nd2=ed.getSecond();
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nodeList nli=getNodeList(ed.getFirst());
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for(nodeList::iterator NI=nli.begin(), NE=nli.end(); NI!=NE; ++NI)
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if(*NI->element == *nd2 && ed.getWeight()==NI->weight)
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return true;
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return false;
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}
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//add a node
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void Graph::addNode(Node *nd){
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list<Node *> lt=getAllNodes();
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for(list<Node *>::iterator LI=lt.begin(), LE=lt.end(); LI!=LE;++LI){
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if(**LI==*nd)
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return;
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}
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nodes[nd] = list<graphListElement>();
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}
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//add an edge
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//this adds an edge ONLY when
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//the edge to be added doesn not already exist
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//we "equate" two edges here only with their
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//end points
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void Graph::addEdge(Edge ed, int w){
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nodeList &ndList = nodes[ed.getFirst()];
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Node *nd2=ed.getSecond();
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if(findNodeInList(nodes[ed.getFirst()], nd2))
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return;
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ndList.push_front(graphListElement(nd2,w));
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}
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//add an edge EVEN IF such an edge already exists
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//this may make a multi-graph
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//which does happen when we add dummy edges
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//to the graph, for compensating for back-edges
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void Graph::addEdgeForce(Edge ed){
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nodes[ed.getFirst()].push_front(graphListElement(ed.getSecond(),
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ed.getWeight()));
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}
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//remove an edge
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//Note that it removes just one edge,
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//the first edge that is encountered
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void Graph::removeEdge(Edge ed){
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nodeList &ndList = nodes[ed.getFirst()];
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Node &nd2 = *ed.getSecond();
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for(nodeList::iterator NI=ndList.begin(), NE=ndList.end(); NI!=NE ;++NI) {
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if(*NI->element == nd2) {
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ndList.erase(NI);
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break;
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}
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}
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}
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//set the weight of an edge
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void Graph::setWeight(Edge ed){
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graphListElement *El = findNodeInList(nodes[ed.getFirst()], ed.getSecond());
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if (El)
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El->weight=ed.getWeight();
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}
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//get the list of successor nodes
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list<Node *> Graph::getSuccNodes(Node *nd) const {
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nodeMapTy::const_iterator nli = nodes.find(nd);
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assert(nli != nodes.end() && "Node must be in nodes map");
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const nodeList &nl = nli->second;
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list<Node *> lt;
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for(nodeList::const_iterator NI=nl.begin(), NE=nl.end(); NI!=NE; ++NI)
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lt.push_back(NI->element);
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return lt;
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}
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//get the list of predecessor nodes
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list<Node *> Graph::getPredNodes(Node *nd) const{
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list<Node *> lt;
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for(nodeMapTy::const_iterator EI=nodes.begin(), EE=nodes.end(); EI!=EE ;++EI){
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Node *lnode=EI->first;
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const nodeList &nl = getNodeList(lnode);
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const graphListElement *N = findNodeInList(nl, nd);
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if (N) lt.push_back(lnode);
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}
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return lt;
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}
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//get the list of all the vertices in graph
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list<Node *> Graph::getAllNodes() const{
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list<Node *> lt;
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for(nodeMapTy::const_iterator x=nodes.begin(), en=nodes.end(); x != en; ++x)
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lt.push_back(x->first);
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return lt;
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}
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//class to compare two nodes in graph
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//based on their wt: this is used in
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//finding the maximal spanning tree
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struct compare_nodes {
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bool operator()(Node *n1, Node *n2){
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return n1->getWeight() < n2->getWeight();
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}
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};
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2002-02-26 19:40:28 +00:00
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static void printNode(Node *nd){
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cerr<<"Node:"<<nd->getElement()->getName()<<"\n";
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2002-02-26 18:58:39 +00:00
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}
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//Get the Maximal spanning tree (also a graph)
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//of the graph
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Graph* Graph::getMaxSpanningTree(){
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//assume connected graph
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Graph *st=new Graph();//max spanning tree, undirected edges
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int inf=9999999;//largest key
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list<Node *> lt = getAllNodes();
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//initially put all vertices in vector vt
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//assign wt(root)=0
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//wt(others)=infinity
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//
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//now:
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//pull out u: a vertex frm vt of min wt
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//for all vertices w in vt,
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//if wt(w) greater than
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//the wt(u->w), then assign
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//wt(w) to be wt(u->w).
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//
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//make parent(u)=w in the spanning tree
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//keep pulling out vertices from vt till it is empty
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vector<Node *> vt;
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map<Node*, Node* > parent;
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map<Node*, int > ed_weight;
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//initialize: wt(root)=0, wt(others)=infinity
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//parent(root)=NULL, parent(others) not defined (but not null)
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for(list<Node *>::iterator LI=lt.begin(), LE=lt.end(); LI!=LE; ++LI){
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Node *thisNode=*LI;
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if(*thisNode == *getRoot()){
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thisNode->setWeight(0);
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parent[thisNode]=NULL;
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ed_weight[thisNode]=0;
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}
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else{
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thisNode->setWeight(inf);
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}
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st->addNode(thisNode);//add all nodes to spanning tree
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//we later need to assign edges in the tree
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vt.push_back(thisNode); //pushed all nodes in vt
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}
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//keep pulling out vertex of min wt from vt
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while(!vt.empty()){
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Node *u=*(min_element(vt.begin(), vt.end(), compare_nodes()));
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#ifdef DEBUG_PATH_PROFILES
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2002-02-26 19:40:28 +00:00
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cerr<<"popped wt"<<(u)->getWeight()<<"\n";
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2002-02-26 18:58:39 +00:00
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printNode(u);
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#endif
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if(parent[u]!=NULL){ //so not root
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Edge edge(parent[u],u, ed_weight[u]); //assign edge in spanning tree
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st->addEdge(edge,ed_weight[u]);
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#ifdef DEBUG_PATH_PROFILES
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cerr<<"added:\n";
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printEdge(edge);
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#endif
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}
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//vt.erase(u);
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//remove u frm vt
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for(vector<Node *>::iterator VI=vt.begin(), VE=vt.end(); VI!=VE; ++VI){
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if(**VI==*u){
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vt.erase(VI);
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break;
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}
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}
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//assign wt(v) to all adjacent vertices v of u
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//only if v is in vt
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Graph::nodeList nl=getNodeList(u);
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for(nodeList::iterator NI=nl.begin(), NE=nl.end(); NI!=NE; ++NI){
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Node *v=NI->element;
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int weight=-NI->weight;
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//check if v is in vt
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bool contains=false;
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for(vector<Node *>::iterator VI=vt.begin(), VE=vt.end(); VI!=VE; ++VI){
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if(**VI==*v){
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contains=true;
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break;
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}
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}
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#ifdef DEBUG_PATH_PROFILES
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2002-02-26 19:40:28 +00:00
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cerr<<"wt:v->wt"<<weight<<":"<<v->getWeight()<<"\n";
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printNode(v);cerr<<"node wt:"<<(*v).weight<<"\n";
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2002-02-26 18:58:39 +00:00
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#endif
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//so if v in in vt, change wt(v) to wt(u->v)
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//only if wt(u->v)<wt(v)
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if(contains && weight<v->getWeight()){
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parent[v]=u;
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ed_weight[v]=weight;
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v->setWeight(weight);
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#ifdef DEBUG_PATH_PROFILES
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cerr<<v->getWeight()<<":Set weight------\n";
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printGraph();
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printEdge(Edge(u,v,weight));
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#endif
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}
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}
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}
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return st;
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}
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//print the graph (for debugging)
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void Graph::printGraph(){
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list<Node *> lt=getAllNodes();
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cerr<<"Graph---------------------\n";
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for(list<Node *>::iterator LI=lt.begin(), LE=lt.end(); LI!=LE; ++LI){
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cerr<<((*LI)->getElement())->getName()<<"->";
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Graph::nodeList nl=getNodeList(*LI);
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for(Graph::nodeList::iterator NI=nl.begin(), NE=nl.end(); NI!=NE; ++NI){
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cerr<<":"<<"("<<(NI->element->getElement())
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->getName()<<":"<<NI->element->getWeight()<<","<<NI->weight<<")";
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}
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cerr<<"--------\n";
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}
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}
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//get a list of nodes in the graph
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//in r-topological sorted order
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//note that we assumed graph to be connected
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list<Node *> Graph::reverseTopologicalSort() const{
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list <Node *> toReturn;
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list<Node *> lt=getAllNodes();
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for(list<Node *>::iterator LI=lt.begin(), LE=lt.end(); LI!=LE; ++LI){
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if((*LI)->getWeight()!=GREY && (*LI)->getWeight()!=BLACK)
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DFS_Visit(*LI, toReturn);
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}
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return toReturn;
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}
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//a private method for doing DFS traversal of graph
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//this is used in determining the reverse topological sort
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//of the graph
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void Graph::DFS_Visit(Node *nd, list<Node *> &toReturn) const {
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nd->setWeight(GREY);
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list<Node *> lt=getSuccNodes(nd);
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for(list<Node *>::iterator LI=lt.begin(), LE=lt.end(); LI!=LE; ++LI){
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if((*LI)->getWeight()!=GREY && (*LI)->getWeight()!=BLACK)
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DFS_Visit(*LI, toReturn);
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}
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toReturn.push_back(nd);
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}
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//Ordinarily, the graph is directional
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//this converts the graph into an
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//undirectional graph
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//This is done by adding an edge
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//v->u for all existing edges u->v
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void Graph::makeUnDirectional(){
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list<Node* > allNodes=getAllNodes();
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for(list<Node *>::iterator NI=allNodes.begin(), NE=allNodes.end(); NI!=NE;
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++NI) {
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nodeList nl=getNodeList(*NI);
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for(nodeList::iterator NLI=nl.begin(), NLE=nl.end(); NLI!=NLE; ++NLI){
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Edge ed(NLI->element, *NI, NLI->weight);
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if(!hasEdgeAndWt(ed)){
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#ifdef DEBUG_PATH_PROFILES
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cerr<<"######doesn't hv\n";
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printEdge(ed);
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#endif
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addEdgeForce(ed);
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}
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}
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}
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}
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//reverse the sign of weights on edges
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//this way, max-spanning tree could be obtained
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//usin min-spanning tree, and vice versa
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void Graph::reverseWts(){
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list<Node *> allNodes=getAllNodes();
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for(list<Node *>::iterator NI=allNodes.begin(), NE=allNodes.end(); NI!=NE;
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++NI) {
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nodeList node_list=getNodeList(*NI);
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for(nodeList::iterator NLI=nodes[*NI].begin(), NLE=nodes[*NI].end();
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NLI!=NLE; ++NLI)
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NLI->weight=-NLI->weight;
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}
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}
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//getting the backedges in a graph
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//Its a variation of DFS to get the backedges in the graph
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//We get back edges by associating a time
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//and a color with each vertex.
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//The time of a vertex is the time when it was first visited
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//The color of a vertex is initially WHITE,
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//Changes to GREY when it is first visited,
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//and changes to BLACK when ALL its neighbors
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//have been visited
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//So we have a back edge when we meet a successor of
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//a node with smaller time, and GREY color
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void Graph::getBackEdges(vector<Edge > &be) const{
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map<Node *, Color > color;
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map<Node *, int > d;
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list<Node *> allNodes=getAllNodes();
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int time=0;
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for(list<Node *>::const_iterator NI=allNodes.begin(), NE=allNodes.end();
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NI!=NE; ++NI){
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if(color[*NI]!=GREY && color[*NI]!=BLACK)
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getBackEdgesVisit(*NI, be, color, d, time);
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}
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}
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//helper function to get back edges: it is called by
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//the "getBackEdges" function above
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void Graph::getBackEdgesVisit(Node *u, vector<Edge > &be,
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map<Node *, Color > &color,
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map<Node *, int > &d, int &time) const{
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color[u]=GREY;
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time++;
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d[u]=time;
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list<Node *> succ_list=getSuccNodes(u);
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for(list<Node *>::const_iterator v=succ_list.begin(), ve=succ_list.end();
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v!=ve; ++v){
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if(color[*v]!=GREY && color[*v]!=BLACK){
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getBackEdgesVisit(*v, be, color, d, time);
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}
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//now checking for d and f vals
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if(color[*v]==GREY){
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//so v is ancestor of u if time of u > time of v
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if(d[u] >= d[*v]){
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Edge *ed=new Edge(u, *v);
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if (!(*u == *getExit() && **v == *getRoot()))
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be.push_back(*ed); // choose the forward edges
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}
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}
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}
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color[u]=BLACK;//done with visiting the node and its neighbors
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}
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