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								#include <limits>
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								#include <fstream>
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								#include "ElimGraph.h"
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								ElimHeuristic ElimGraph::elimHeuristic = MIN_NEIGHBORS;
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								ElimGraph::ElimGraph (const vector<Factor*>& factors)
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								{
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								  for (size_t i = 0; i < factors.size(); i++) {
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								    if (factors[i] == 0) { // if contained just one var with evidence
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								      continue;
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								    }
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								    const VarIds& vids = factors[i]->arguments();
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								    for (size_t j = 0; j < vids.size() - 1; j++) {
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								      EgNode* n1 = getEgNode (vids[j]);
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								      if (n1 == 0) {
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								        n1 = new EgNode (vids[j], factors[i]->range (j));
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								        addNode (n1);
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								      }
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								      for (size_t k = j + 1; k < vids.size(); k++) {
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								        EgNode* n2 = getEgNode (vids[k]);
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								        if (n2 == 0) {
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								          n2 = new EgNode (vids[k], factors[i]->range (k));
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								          addNode (n2);
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								        }
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								        if (neighbors (n1, n2) == false) {
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								          addEdge (n1, n2);
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								        } 
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								      }
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								    }
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								    if (vids.size() == 1) {
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								      if (getEgNode (vids[0]) == 0) {
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								        addNode (new EgNode (vids[0], factors[i]->range (0)));
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								      }
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								    }
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								  }
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								}
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								ElimGraph::~ElimGraph (void)
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								{
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								  for (size_t i = 0; i < nodes_.size(); i++) {
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								    delete nodes_[i];    
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								  }
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								}
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								VarIds
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								ElimGraph::getEliminatingOrder (const VarIds& exclude)
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								{
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								  VarIds elimOrder;
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								  unmarked_.reserve (nodes_.size());
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								  for (size_t i = 0; i < nodes_.size(); i++) {
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								    if (Util::contains (exclude, nodes_[i]->varId()) == false) {
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								      unmarked_.insert (nodes_[i]);
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								    }
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								  }
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								  size_t nrVarsToEliminate = nodes_.size() - exclude.size();
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								  for (size_t i = 0; i < nrVarsToEliminate; i++) {
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								    EgNode* node = getLowestCostNode();
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								    unmarked_.remove (node);
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								    const EGNeighs& neighs = node->neighbors();
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								    for (size_t j = 0; j < neighs.size(); j++) {
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								      neighs[j]->removeNeighbor (node);
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								    }
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								    elimOrder.push_back (node->varId());
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								    connectAllNeighbors (node);
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								  }
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								  return elimOrder;
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								}
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								void
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								ElimGraph::print (void) const
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								{
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								  for (size_t i = 0; i < nodes_.size(); i++) {
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								    cout << "node " << nodes_[i]->label() << " neighs:" ;
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								    EGNeighs neighs = nodes_[i]->neighbors();
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								    for (size_t j = 0; j < neighs.size(); j++) {
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								      cout << "  " << neighs[j]->label();
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								    }
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								    cout << endl;
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								  }  
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								}
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								void
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								ElimGraph::exportToGraphViz (
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								    const char* fileName,
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								    bool showNeighborless,
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								    const VarIds& highlightVarIds) const
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								{
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								  ofstream out (fileName);
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								  if (!out.is_open()) {
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								    cerr << "error: cannot open file to write at " ;
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								    cerr << "Markov::exportToDotFile()" << endl;
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								    abort();
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								  }
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								  out << "strict graph {" << endl;
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								  for (size_t i = 0; i < nodes_.size(); i++) {
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								    if (showNeighborless || nodes_[i]->neighbors().size() != 0) {
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								      out << '"' << nodes_[i]->label() << '"' << endl;
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								    }
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								  }
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								  for (size_t i = 0; i < highlightVarIds.size(); i++) {
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								    EgNode* node =getEgNode (highlightVarIds[i]);
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								    if (node) {
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								      out << '"' << node->label() << '"' ;
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								      out << " [shape=box3d]" << endl;
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								    } else {
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								      cout << "error: invalid variable id: " << highlightVarIds[i] << endl;
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								      abort();
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								    }
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								  }
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								  for (size_t i = 0; i < nodes_.size(); i++) {
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								    EGNeighs neighs = nodes_[i]->neighbors();
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								    for (size_t j = 0; j < neighs.size(); j++) {
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								      out << '"' << nodes_[i]->label() << '"' << " -- " ;
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								      out << '"' << neighs[j]->label() << '"' << endl;
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								    }
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								  }
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								  out << "}" << endl;
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								  out.close();
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								}
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								VarIds
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								ElimGraph::getEliminationOrder (
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								    const Factors& factors,
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								    VarIds excludedVids)
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								{
							 | 
						
					
						
							
								
									
										
										
										
											2012-05-29 17:12:57 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								  if (elimHeuristic == ElimHeuristic::SEQUENTIAL) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    VarIds allVids;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    Factors::const_iterator first = factors.begin();
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    Factors::const_iterator end   = factors.end();
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    for (; first != end; ++first) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      Util::addToVector (allVids, (*first)->arguments());      
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    TinySet<VarId> elimOrder (allVids);
							 | 
						
					
						
							
								
									
										
										
										
											2012-05-29 17:19:49 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    elimOrder -= TinySet<VarId> (excludedVids);
							 | 
						
					
						
							
								
									
										
										
										
											2012-05-29 17:12:57 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    return elimOrder.elements();
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  }
							 | 
						
					
						
							
								
									
										
										
										
											2012-05-23 14:56:01 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  ElimGraph graph (factors);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  return graph.getEliminatingOrder (excludedVids);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								void
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								ElimGraph::addNode (EgNode* n)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								{
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  nodes_.push_back (n);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  n->setIndex (nodes_.size() - 1);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  varMap_.insert (make_pair (n->varId(), n));
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								EgNode*
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								ElimGraph::getEgNode (VarId vid) const
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								{
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  unordered_map<VarId, EgNode*>::const_iterator it;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  it = varMap_.find (vid);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  return (it != varMap_.end()) ? it->second : 0;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								EgNode*
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								ElimGraph::getLowestCostNode (void) const
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								{
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  EgNode* bestNode = 0;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  unsigned minCost = std::numeric_limits<unsigned>::max();
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  EGNeighs::const_iterator it;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  switch (elimHeuristic) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    case MIN_NEIGHBORS: {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      for (it = unmarked_.begin(); it != unmarked_.end(); ++ it) {
							 | 
						
					
						
							
								
									
										
										
										
											2012-07-02 22:53:44 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								        unsigned cost = getNeighborsCost (*it);
							 | 
						
					
						
							
								
									
										
										
										
											2012-05-23 14:56:01 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        if (cost < minCost) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								          bestNode = *it;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								          minCost  = cost;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      }}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      break;
							 | 
						
					
						
							
								
									
										
										
										
											2012-07-02 22:53:44 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    case MIN_WEIGHT: {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      for (it = unmarked_.begin(); it != unmarked_.end(); ++ it) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        unsigned cost = getWeightCost (*it);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        if (cost < minCost) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								          bestNode = *it;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								          minCost  = cost;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      }}
							 | 
						
					
						
							
								
									
										
										
										
											2012-05-23 14:56:01 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      break;
							 | 
						
					
						
							
								
									
										
										
										
											2012-07-02 22:53:44 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    case MIN_FILL: {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      for (it = unmarked_.begin(); it != unmarked_.end(); ++ it) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        unsigned cost = getFillCost (*it);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        if (cost < minCost) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								          bestNode = *it;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								          minCost  = cost;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      }}
							 | 
						
					
						
							
								
									
										
										
										
											2012-05-23 14:56:01 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      break;
							 | 
						
					
						
							
								
									
										
										
										
											2012-07-02 22:53:44 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    case WEIGHTED_MIN_FILL: {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      for (it = unmarked_.begin(); it != unmarked_.end(); ++ it) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        unsigned cost = getWeightedFillCost (*it);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        if (cost < minCost) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								          bestNode = *it;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								          minCost  = cost;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      }}
							 | 
						
					
						
							
								
									
										
										
										
											2012-05-23 14:56:01 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      break;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    default:
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      assert (false);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  assert (bestNode);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  return bestNode;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								void
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								ElimGraph::connectAllNeighbors (const EgNode* n)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								{
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  const EGNeighs& neighs = n->neighbors();
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  if (neighs.size() > 0) {
							 | 
						
					
						
							
								
									
										
										
										
											2012-05-24 22:55:20 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    for (size_t i = 0; i < neighs.size() - 1; i++) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      for (size_t j = i + 1; j < neighs.size(); j++) {
							 | 
						
					
						
							
								
									
										
										
										
											2012-05-23 14:56:01 +01:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        if ( ! neighbors (neighs[i], neighs[j])) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								          addEdge (neighs[i], neighs[j]);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								  }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 |