//! Given pGraph with data about edge weights, computes the distance of the shortest paths from sourceNode //! and returns the result in the nodes of pDAGGraph. //! Updates the edges if bUpdateEdges is set to true. Default is false. In that case only the node data is updated with the shortest distance to sourceNode. //! @note Requires initial values for the nodes of pDAGGraph (edges are not needed) void Dijkstra(const TPt<TNodeEDatNet<TFlt, TFlt>>& pGraph, int sourceNode, double dThreshold, TPt<TNodeEDatNet<TFlt, TFlt>>& pDAGGraph, bool bUpdateEdges = false) { double logThreshold = log(dThreshold); if(dThreshold==0) logThreshold=-DBL_MAX; // List of visited nodes std::map<int, bool> visitedNodes; // Stores the edge vertices to build the final DAG std::map<int, int> mapPrevious; std::priority_queue<std::pair<int,double>, std::vector<std::pair<int,double>>, Order> nodesToVisit; // Distance from source node to itself is 0 pDAGGraph->SetNDat(sourceNode, 0); nodesToVisit.push(std::make_pair(sourceNode,0)); // Beginning of the loop of Dijkstra algorithm while(!nodesToVisit.empty()) { // Find the vertex in queue with the smallest distance and remove it int iParentID = -1; while (!nodesToVisit.empty() && visitedNodes[iParentID = nodesToVisit.top().first]) nodesToVisit.pop(); if (iParentID == -1) break; // mark the vertex with the shortest distance visitedNodes[iParentID]=true; auto parent = pGraph->GetNI(iParentID); int numChildren = parent.GetOutDeg(); for(int i = 0; i < numChildren; ++i) { int iChildID = parent.GetOutNId(i); // Accumulate the shortest distance from source double alt = pDAGGraph->GetNDat(iParentID) - log(parent.GetOutEDat(i).Val); if(alt >= logThreshold) { auto it = visitedNodes.find(iChildID); if (alt < pDAGGraph->GetNDat(iChildID) && it->second == false) { //1. update distance //2. update the predecessor //3. push new shortest rank of chidren nodes pDAGGraph->SetNDat(iChildID, alt); mapPrevious[iChildID]= iParentID; nodesToVisit.push(std::make_pair(iChildID,alt)); } } } } if(bUpdateEdges) for(auto it=mapPrevious.begin(); it!= mapPrevious.end(); ++it) { pDAGGraph->AddEdge(it->second, it->first); pDAGGraph->SetEDat(it->second,it->first, pGraph->GetEDat(it->second,it->first)); } }
// Test update node data TEST(TNodeEdgeNet, UpdateNodeData) { int NNodes = 10000; int NEdges = 100000; TPt <TNodeEdgeNet<TInt, TInt> > Net; TPt <TNodeEdgeNet<TInt, TInt> > Net1; TPt <TNodeEdgeNet<TInt, TInt> > Net2; int i; int n; int NCount; int x,y; Net = TNodeEdgeNet<TInt, TInt>::New(); EXPECT_EQ(1,Net->Empty()); // create the nodes for (i = 0; i < NNodes; i++) { Net->AddNode(i,i+5); } EXPECT_EQ(0,Net->Empty()); EXPECT_EQ(NNodes,Net->GetNodes()); // create random edges NCount = NEdges; while (NCount > 0) { x = (long) (drand48() * NNodes); y = (long) (drand48() * NNodes); n = Net->AddEdge(x, y); NCount--; } EXPECT_EQ(NEdges,Net->GetEdges()); EXPECT_EQ(0,Net->Empty()); EXPECT_EQ(1,Net->IsOk()); for (i = 0; i < NNodes; i++) { EXPECT_EQ(1,Net->IsNode(i)); } EXPECT_EQ(0,Net->IsNode(NNodes)); EXPECT_EQ(0,Net->IsNode(NNodes+1)); EXPECT_EQ(0,Net->IsNode(2*NNodes)); // test node data for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { EXPECT_EQ(NI.GetId()+5, Net->GetNDat(NI.GetId())); } // update node data, node ID + 10 for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Net->SetNDat(NI.GetId(), NI.GetId()+10); } // test node data for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { EXPECT_EQ(NI.GetId()+10, Net->GetNDat(NI.GetId())); } }
// Test set node data void SetNodeData() { int NNodes = 10000; int NEdges = 100000; TPt <TNodeEDatNet<TInt, TInt> > Net; TPt <TNodeEDatNet<TInt, TInt> > Net1; TPt <TNodeEDatNet<TInt, TInt> > Net2; int i; int n; int NCount; int x,y; bool t; int NodeId; int NodeDat; int Value; bool ok; Net = TNodeEDatNet<TInt, TInt>::New(); t = Net->Empty(); // create the nodes for (i = 0; i < NNodes; i++) { Net->AddNode(i); } t = Net->Empty(); n = Net->GetNodes(); // create random edges NCount = NEdges; while (NCount > 0) { x = (long) (drand48() * NNodes); y = (long) (drand48() * NNodes); // Net->GetEdges() is not correct for the loops (x == y), // skip the loops in this test if (x != y && !Net->IsEdge(x,y)) { n = Net->AddEdge(x, y); NCount--; } } PrintNStats("SetNodeData:Net", Net); // set node data, square of node ID for (TNodeEDatNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { NodeId = NI.GetId(); NodeDat = NI.GetId()*NI.GetId(); Net->SetNDat(NodeId, NodeDat); } // read and test node data ok = true; for (TNodeEDatNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { NodeDat = Net->GetNDat(NI.GetId()); Value = NI.GetId()*NI.GetId(); if (NodeDat != Value) { ok = false; } } printf("network SetNodeData:Net, status %s\n", (ok == true) ? "ok" : "ERROR"); }
// before generating DAG void RandomGraphInitialization(TPt<TNodeEDatNet<TFlt, TFlt>> &pGraph) { srand(time(NULL)); for (auto EI = pGraph->BegEI(); EI < pGraph->EndEI(); EI++) pGraph->SetEDat(EI.GetSrcNId(), EI.GetDstNId(), (double) rand() / RAND_MAX); for (auto NI = pGraph->BegNI(); NI < pGraph->EndNI(); NI++) pGraph->SetNDat(NI.GetId(), 0.0); }
// Test node data sorting TEST(TNodeEdgeNet, SortNodeData) { int NNodes = 10000; int NEdges = 100000; TPt <TNodeEdgeNet<TInt, TInt> > Net; TPt <TNodeEdgeNet<TInt, TInt> > Net1; TPt <TNodeEdgeNet<TInt, TInt> > Net2; int i; int n; int NCount; int x,y; bool Sorted; int Min; int Value; Net = TNodeEdgeNet<TInt, TInt>::New(); EXPECT_EQ(1,Net->Empty()); // create the nodes for (i = 0; i < NNodes; i++) { Net->AddNode((i*13) % NNodes); } EXPECT_EQ(0,Net->Empty()); EXPECT_EQ(NNodes,Net->GetNodes()); // create random edges NCount = NEdges; while (NCount > 0) { x = (long) (drand48() * NNodes); y = (long) (drand48() * NNodes); n = Net->AddEdge(x, y); NCount--; } EXPECT_EQ(NEdges,Net->GetEdges()); EXPECT_EQ(0,Net->Empty()); EXPECT_EQ(1,Net->IsOk()); for (i = 0; i < NNodes; i++) { EXPECT_EQ(1,Net->IsNode(i)); } EXPECT_EQ(0,Net->IsNode(NNodes)); EXPECT_EQ(0,Net->IsNode(NNodes+1)); EXPECT_EQ(0,Net->IsNode(2*NNodes)); // add data to nodes, square of node ID % NNodes for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { // Net->AddNode(NI.GetId(), (NI.GetId()*NI.GetId()) % NNodes); Net->SetNDat(NI.GetId(), NI.GetId()*NI.GetId() % NNodes); } // test node data for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { EXPECT_EQ((NI.GetId()*NI.GetId()) % NNodes, Net->GetNDat(NI.GetId())); } // test sorting of node IDs (unsorted) Min = -1; Sorted = true; for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Value = NI.GetId(); if (Min > Value) { Sorted = false; } Min = Value; } EXPECT_EQ(false,Sorted); // sort the nodes by node IDs (sorted) Net->SortNIdById(); // test sorting of node IDs Min = -1; Sorted = true; for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Value = NI.GetId(); if (Min > Value) { Sorted = false; } Min = Value; } EXPECT_EQ(true,Sorted); // test sorting of node data (unsorted) Min = -1; Sorted = true; for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Value = Net->GetNDat(NI.GetId()); if (Min > Value) { Sorted = false; } Min = Value; } EXPECT_EQ(false,Sorted); // sort the nodes by node data Net->SortNIdByDat(); // test sorting of node data (sorted) Min = -1; Sorted = true; for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Value = Net->GetNDat(NI.GetId()); if (Min > Value) { Sorted = false; } Min = Value; } EXPECT_EQ(true,Sorted); // test sorting of node IDs (unsorted) Min = -1; Sorted = true; for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Value = NI.GetId(); if (Min > Value) { Sorted = false; } Min = Value; } EXPECT_EQ(false,Sorted); // test node data for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { EXPECT_EQ((NI.GetId()*NI.GetId()) % NNodes, Net->GetNDat(NI.GetId())); } }
// Test update edge data TEST(TNodeEdgeNet, UpdateEdgeData) { int NNodes = 10000; int NEdges = 100000; TPt <TNodeEdgeNet<TInt, TInt> > Net; TPt <TNodeEdgeNet<TInt, TInt> > Net1; TPt <TNodeEdgeNet<TInt, TInt> > Net2; int i; int n; int NCount; int x,y; Net = TNodeEdgeNet<TInt, TInt>::New(); EXPECT_EQ(1,Net->Empty()); // create the nodes for (i = 0; i < NNodes; i++) { Net->AddNode(i); } EXPECT_EQ(0,Net->Empty()); EXPECT_EQ(NNodes,Net->GetNodes()); // create random edges and edge data x+y+10 NCount = NEdges; while (NCount > 0) { x = (long) (drand48() * NNodes); y = (long) (drand48() * NNodes); n = Net->AddEdge(x, y, -1, x+y+10); // printf("0a %d %d %d\n",x,y,n); NCount--; } EXPECT_EQ(NEdges,Net->GetEdges()); EXPECT_EQ(0,Net->Empty()); EXPECT_EQ(1,Net->IsOk()); for (i = 0; i < NNodes; i++) { EXPECT_EQ(1,Net->IsNode(i)); } EXPECT_EQ(0,Net->IsNode(NNodes)); EXPECT_EQ(0,Net->IsNode(NNodes+1)); EXPECT_EQ(0,Net->IsNode(2*NNodes)); // add data to nodes, square of node ID for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Net->SetNDat(NI.GetId(), NI.GetId()*NI.GetId()); } // test node data for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { EXPECT_EQ(NI.GetId()*NI.GetId(), Net->GetNDat(NI.GetId())); } // verify edge data, x+y+10 for (TNodeEdgeNet<TInt, TInt>::TEdgeI EI = Net->BegEI(); EI < Net->EndEI(); EI++) { EXPECT_EQ(EI.GetSrcNId()+EI.GetDstNId()+10, Net->GetEDat(EI.GetId())); } // update edge data, x+y+5 for (TNodeEdgeNet<TInt, TInt>::TEdgeI EI = Net->BegEI(); EI < Net->EndEI(); EI++) { Net->SetEDat(EI.GetId(),EI.GetSrcNId()+EI.GetDstNId()+5); } // verify edge data, x+y+5 for (TNodeEdgeNet<TInt, TInt>::TEdgeI EI = Net->BegEI(); EI < Net->EndEI(); EI++) { EXPECT_EQ(EI.GetSrcNId()+EI.GetDstNId()+5, Net->GetEDat(EI.GetId())); } // test node data again for (TNodeEdgeNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { EXPECT_EQ(NI.GetId()*NI.GetId(), Net->GetNDat(NI.GetId())); } }
// Test node data sorting void SortNodeData() { int NNodes = 10000; int NEdges = 100000; TPt <TNodeEDatNet<TInt, TInt> > Net; TPt <TNodeEDatNet<TInt, TInt> > Net1; TPt <TNodeEDatNet<TInt, TInt> > Net2; int i; int n; int NCount; int x,y; bool t; int NodeId; int NodeDat; bool ok; bool Sorted; int Min; int Value; Net = TNodeEDatNet<TInt, TInt>::New(); t = Net->Empty(); // create the nodes for (i = 0; i < NNodes; i++) { Net->AddNode((i*13) % NNodes); } t = Net->Empty(); n = Net->GetNodes(); // create random edges NCount = NEdges; while (NCount > 0) { x = (long) (drand48() * NNodes); y = (long) (drand48() * NNodes); // Net->GetEdges() is not correct for the loops (x == y), // skip the loops in this test if (x != y && !Net->IsEdge(x,y)) { n = Net->AddEdge(x, y); NCount--; } } PrintNStats("SortNodeData:Net", Net); // add data to nodes, square of node ID % NNodes for (TNodeEDatNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { NodeId = NI.GetId(); NodeDat = (NI.GetId()*NI.GetId()) % NNodes; Net->SetNDat(NodeId, NodeDat); } // test node data ok = true; for (TNodeEDatNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { NodeDat = Net->GetNDat(NI.GetId()); Value = (NI.GetId()*NI.GetId()) % NNodes; if (NodeDat != Value) { ok = false; } } printf("network SortNodeData:Net, status1 %s\n", (ok == true) ? "ok" : "ERROR"); // test sorting of node IDs (unsorted) Min = -1; Sorted = true; for (TNodeEDatNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Value = NI.GetId(); if (Min > Value) { Sorted = false; } Min = Value; } printf("network SortNodeData:Net, status2 %s\n", (Sorted == false) ? "ok" : "ERROR"); // sort the nodes by node IDs (sorted) Net->SortNIdById(); // test sorting of node IDs Min = -1; Sorted = true; for (TNodeEDatNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Value = NI.GetId(); if (Min > Value) { Sorted = false; } Min = Value; } printf("network SortNodeData:Net, status3 %s\n", (Sorted == true) ? "ok" : "ERROR"); // test sorting of node data (unsorted) Min = -1; Sorted = true; for (TNodeEDatNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Value = Net->GetNDat(NI.GetId()); if (Min > Value) { Sorted = false; } Min = Value; } printf("network SortNodeData:Net, status4 %s\n", (Sorted == false) ? "ok" : "ERROR"); // sort the nodes by node data Net->SortNIdByDat(); // test sorting of node data (sorted) Min = -1; Sorted = true; for (TNodeEDatNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Value = Net->GetNDat(NI.GetId()); if (Min > Value) { Sorted = false; } Min = Value; } printf("network SortNodeData:Net, status5 %s\n", (Sorted == true) ? "ok" : "ERROR"); // test sorting of node IDs (unsorted) Min = -1; Sorted = true; for (TNodeEDatNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { Value = NI.GetId(); if (Min > Value) { Sorted = false; } Min = Value; } printf("network SortNodeData:Net, status6 %s\n", (Sorted == false) ? "ok" : "ERROR"); // test node data ok = true; for (TNodeEDatNet<TInt, TInt>::TNodeI NI = Net->BegNI(); NI < Net->EndNI(); NI++) { NodeDat = Net->GetNDat(NI.GetId()); Value = (NI.GetId()*NI.GetId()) % NNodes; if (NodeDat != Value) { ok = false; } } printf("network SortNodeData:Net, status7 %s\n", (ok == true) ? "ok" : "ERROR"); }
// before belief propagation void InitializationBeforePropagation(TPt<TNodeEDatNet<TFlt, TFlt>>& pGraph) { for (auto NI = pGraph->BegNI(); NI < pGraph->EndNI(); NI++) pGraph->SetNDat(NI.GetId(), 0.0); }