Beispiel #1
0
// extracts and adds external subgraph from stopnode to ancestors of the node with dfi root
// to edgelist, nodeMarker is used as a visited flag. returns the endnode with lowest dfi.
void FindKuratowskis::extractExternalSubgraph(
			const node stop,
			int root,
			SListPure<int>& externalStartnodes,
			SListPure<node>& externalEndnodes)
{
	int lowpoint;
	ListConstIterator<node> it;

	if (m_leastAncestor[stop] < root) {
		externalStartnodes.pushBack(m_dfi[stop]);
		externalEndnodes.pushBack(m_nodeFromDFI[m_leastAncestor[stop]]);
	}

	// descent to external active child bicomps of stopnode
	node temp;
	for (it = m_separatedDFSChildList[stop].begin(); it.valid(); ++it) {
		temp = *it;
		lowpoint = m_lowPoint[temp];
		if (lowpoint >= root) break;

		externalStartnodes.pushBack(m_dfi[temp]);
		externalEndnodes.pushBack(m_nodeFromDFI[lowpoint]);
	}
}
Beispiel #2
0
// The function front scans the frontier of nodePtr. It returns the keys
// of the leaves found in the frontier of nodePtr in a SListPure.
// These keys include keys of direction indicators detected in the frontier.
//
// No direction is assigned to the direction indicators.
//
void EmbedPQTree::getFront(
	PQNode<edge,IndInfo*,bool>* nodePtr,
	SListPure<PQBasicKey<edge,IndInfo*,bool>*> &keys)
{
	ArrayBuffer<PQNode<edge,IndInfo*,bool>*> S;
	S.push(nodePtr);

	while (!S.empty())
	{
		PQNode<edge,IndInfo*,bool> *checkNode = S.popRet();

		if (checkNode->type() == PQNodeRoot::PQNodeType::Leaf)
			keys.pushBack((PQBasicKey<edge,IndInfo*,bool>*) checkNode->getKey());
		else
		{
			PQNode<edge,IndInfo*,bool>* firstSon  = nullptr;
			if (checkNode->type() == PQNodeRoot::PQNodeType::PNode)
			{
				firstSon = checkNode->referenceChild();
			}
			else if (checkNode->type() == PQNodeRoot::PQNodeType::QNode)
			{
				firstSon = checkNode->getEndmost(PQNodeRoot::SibDirection::Right);
				// By this, we make sure that we start on the left side
				// since the left endmost child will be on top of the stack
			}

			if (firstSon->status() == PQNodeRoot::PQNodeStatus::Indicator)
			{
				keys.pushBack((PQBasicKey<edge,IndInfo*,bool>*) firstSon->getNodeInfo());
			}
			else
				S.push(firstSon);

			PQNode<edge,IndInfo*,bool> *nextSon = firstSon->getNextSib(nullptr);
			PQNode<edge,IndInfo*,bool> *oldSib = firstSon;
			while (nextSon && nextSon != firstSon)
			{
				if (nextSon->status() == PQNodeRoot::PQNodeStatus::Indicator)
					keys.pushBack((PQBasicKey<edge,IndInfo*,bool>*) nextSon->getNodeInfo());
				else
					S.push(nextSon);

				PQNode<edge,IndInfo*,bool> *holdSib = nextSon->getNextSib(oldSib);
				oldSib = nextSon;
				nextSon = holdSib;
			}
		}
	}
}
Beispiel #3
0
// The function front scans the frontier of nodePtr. It returns the keys 
// of the leaves found in the frontier of nodePtr in a SListPure. 
// These keys include keys of direction indicators detected in the frontier.
//
// No direction is assigned to the direction indicators.
//
void EmbedPQTree::getFront(
	PQNode<edge,indInfo*,bool>* nodePtr,
	SListPure<PQBasicKey<edge,indInfo*,bool>*> &keys)
{   
	Stack<PQNode<edge,indInfo*,bool>*> S;
	S.push(nodePtr);
  
	while (!S.empty())
	{
		PQNode<edge,indInfo*,bool> *checkNode = S.pop();

		if (checkNode->type() == PQNodeRoot::leaf)
			keys.pushBack((PQBasicKey<edge,indInfo*,bool>*) checkNode->getKey());      
		else
		{
			PQNode<edge,indInfo*,bool>* firstSon  = 0;
			if (checkNode->type() == PQNodeRoot::PNode)
			{  
				firstSon = checkNode->referenceChild();
			}
 			else if (checkNode->type() == PQNodeRoot::QNode)
			{
				firstSon = checkNode->getEndmost(RIGHT);
				// By this, we make sure that we start on the left side
				// since the left endmost child will be on top of the stack
			}

			if (firstSon->status() == INDICATOR)
			{
				keys.pushBack((PQBasicKey<edge,indInfo*,bool>*) firstSon->getNodeInfo());
			}
			else
				S.push(firstSon);

			PQNode<edge,indInfo*,bool> *nextSon = firstSon->getNextSib(0);
			PQNode<edge,indInfo*,bool> *oldSib = firstSon;
			while (nextSon && nextSon != firstSon)
			{
				if (nextSon->status() == INDICATOR)
					keys.pushBack((PQBasicKey<edge,indInfo*,bool>*) nextSon->getNodeInfo());
				else
					S.push(nextSon);

				PQNode<edge,indInfo*,bool> *holdSib = nextSon->getNextSib(oldSib);
				oldSib = nextSon;
				nextSon = holdSib;
			}
		}
	}
}
Beispiel #4
0
// extract and add external subgraph from stopnode to ancestors of the node with dfi root
// to edgelist, nodeMarker is used as a visited flag. returns the endnode with lowest dfi.
void FindKuratowskis::extractExternalSubgraphBundles(
			const node stop,
			int root,
			SListPure<edge>& externalSubgraph,
			int nodeMarker)
{
	node v,temp;
	adjEntry adj;

	#ifdef OGDF_DEBUG
	forall_nodes(v,m_g) OGDF_ASSERT(m_wasHere[v]!=nodeMarker);
	#endif

	StackPure<node> stack; // stack for dfs-traversal
	ListConstIterator<node> it;
	stack.push(stop);
	while (!stack.empty()) {
		v = stack.pop();
		if (m_wasHere[v]==nodeMarker) continue;
		// mark visited nodes
		m_wasHere[v]=nodeMarker;

		// search for unvisited nodes and add them to stack
		forall_adj(adj,v) {
			temp = adj->twinNode();
			if (m_edgeType[adj->theEdge()]==EDGE_BACK_DELETED) continue;

			// go along backedges to ancestor (ignore virtual nodes)
			if (m_dfi[temp] < root && m_dfi[temp] > 0) {
				OGDF_ASSERT(m_edgeType[adj->theEdge()]==EDGE_BACK);
				externalSubgraph.pushBack(adj->theEdge());
			} else if (v != stop && m_dfi[temp]>=m_dfi[v]) {
				// set flag and push unvisited nodes
				OGDF_ASSERT(m_edgeType[adj->theEdge()]==EDGE_BACK ||
							m_edgeType[adj->theEdge()]==EDGE_DFS ||
							m_edgeType[adj->theEdge()]==EDGE_BACK_DELETED);
				externalSubgraph.pushBack(adj->theEdge());
				if (m_wasHere[temp] != nodeMarker) stack.push(temp);
			}
		}

		// descent to external active child bicomps
		for (it = m_separatedDFSChildList[v].begin(); it.valid(); ++it) {
			temp = *it;
			if (m_lowPoint[temp] >= root) break;
			stack.push(m_nodeFromDFI[-m_dfi[temp]]);
		}
	}
Beispiel #5
0
// compute the separated DFS children for all nodes in ascending order of
// their lowpoint values in linear time
void BoyerMyrvoldInit::computeDFSChildLists() {
	// Bucketsort by lowpoint values
	BucketLowPoint blp(m_lowPoint);

	// copy all non-virtual nodes in a list and sort them with Bucketsort
	SListPure<node> allNodes;
	for (node v : m_g.nodes) {
		if (m_dfi[v] > 0)
			allNodes.pushBack(v);
	}
	allNodes.bucketSort(1, m_nodeFromDFI.high(), blp);

	// build DFS-child list
	for (node v : allNodes) {
		OGDF_ASSERT(m_dfi[v] > 0);

		// if node is not root: insert node after last element of parent's DFSChildList
		// to achieve constant time deletion later:
		// set a pointer for each node to predecessor of his representative in the list
		if (m_adjParent[v] != nullptr) {
			OGDF_ASSERT(m_realVertex[m_adjParent[v]->theNode()] != nullptr);

			m_pNodeInParent[v] = m_separatedDFSChildList[m_realVertex[m_adjParent[v]->theNode()]].pushBack(v);

			OGDF_ASSERT(m_pNodeInParent[v].valid());
			OGDF_ASSERT(v == *m_pNodeInParent[v]);
		}
		else m_pNodeInParent[v] = nullptr;
	}
}
Beispiel #6
0
// Reduction reduced a set of leaves determined by their keys stored
// in leafKeys. Integer redNumber is for debugging only.
bool EmbedPQTree::Reduction(SListPure<PlanarLeafKey<IndInfo*>*> &leafKeys)
{
	SListPure<PQLeafKey<edge, IndInfo*, bool>*> castLeafKeys;
	for (PlanarLeafKey<IndInfo*> *key : leafKeys)
		castLeafKeys.pushBack(static_cast<PQLeafKey<edge, IndInfo*, bool>*>(key));

	return PQTree<edge, IndInfo*, bool>::Reduction(castLeafKeys);
}
Beispiel #7
0
// Initializes a PQTree by a set of leaves that will korrespond to
// the set of Keys stored in leafKeys.
int PlanarPQTree::Initialize(SListPure<PlanarLeafKey<IndInfo*>*> &leafKeys)
{
	SListIterator<PlanarLeafKey<IndInfo*>* >  it;
	SListPure<PQLeafKey<edge,IndInfo*,bool>*> castLeafKeys;
	for (it = leafKeys.begin(); it.valid(); ++it)
		castLeafKeys.pushBack((PQLeafKey<edge,IndInfo*,bool>*) *it);

	return PQTree<edge,IndInfo*,bool>::Initialize(castLeafKeys);
}
Beispiel #8
0
// Reduction reduced a set of leaves determined by their keys stored 
// in leafKeys. Integer redNumber is for debugging only.
bool PlanarPQTree::Reduction(SListPure<PlanarLeafKey<indInfo*>*> &leafKeys)
{
	SListIterator<PlanarLeafKey<indInfo*>* >  it;
	SListPure<PQLeafKey<edge,indInfo*,bool>*> castLeafKeys;
	for (it = leafKeys.begin(); it.valid(); ++it)
		castLeafKeys.pushBack((PQLeafKey<edge,indInfo*,bool>*) *it);

	return PQTree<edge,indInfo*,bool>::Reduction(castLeafKeys);
}
Beispiel #9
0
void FaceSinkGraph::doInit()
{
	const ConstCombinatorialEmbedding &E = *m_pE;

	NodeArray<node> sinkSwitch(E,nullptr); // corresponding node in F (if any)
	NodeArray<bool> isSinkSwitch(E,true);

	NodeArray<int> visited(E,-1);
	int faceNo = -1;
	for(face f : E.faces)
	{
		faceNo++;
		node faceNode = newNode();
		m_originalFace[faceNode] = f;

		SListPure<node> nodesInF;

		adjEntry adj1 = f->firstAdj(), adj = adj1;
		do {
			node v = adj->theNode();
			// if the graph is not biconnected, then node v can visited more than once
			if (visited[v] != faceNo) {
				nodesInF.pushBack(v);
				visited[v] = faceNo;
			}

			if (v == m_source)
				m_containsSource[faceNode] = true;

			isSinkSwitch[adj->theEdge()->source()] = false;

			adj = adj->twin()->cyclicPred();
		} while (adj != adj1);

		SListConstIterator<node> it;
		for(it = nodesInF.begin(); it.valid(); ++it)
		{
			node v = *it;
			if(isSinkSwitch[v])	{
				if (sinkSwitch[v] == nullptr) {
					node vF = newNode();
					m_originalNode[vF] = v;
					sinkSwitch[v] = vF;
				}

				newEdge(faceNode,sinkSwitch[v]);
			}
		}

		for(it = nodesInF.begin(); it.valid(); ++it)
			isSinkSwitch[*it] = true;
	}
}
Beispiel #10
0
void PlanarSPQRTree::setPosInEmbedding(
	NodeArray<SListPure<adjEntry> > &adjEdges,
	NodeArray<node> &currentCopy,
	NodeArray<adjEntry> &lastAdj,
	SListPure<node> &current,
	const Skeleton &S,
	adjEntry adj)
{
	node vT = S.treeNode();

	adjEdges[vT].pushBack(adj);

	node vCopy = adj->theNode();
	node vOrig = S.original(vCopy);

	if(currentCopy[vT] == nullptr) {
		currentCopy[vT] = vCopy;
		current.pushBack(vT);

		for (adjEntry adjVirt : vCopy->adjEdges) {
			edge eCopy = S.twinEdge(adjVirt->theEdge());
			if (eCopy == nullptr) continue;
			if (adjVirt == adj) {
				lastAdj[vT] = adj;
				continue;
			}

			const Skeleton &STwin = skeleton(S.twinTreeNode(adjVirt->theEdge()));

			adjEntry adjCopy = (STwin.original(eCopy->source()) == vOrig) ?
				eCopy->adjSource() : eCopy->adjTarget();

			setPosInEmbedding(adjEdges,currentCopy,lastAdj,current,
				STwin, adjCopy);
		}

	} else if (lastAdj[vT] != nullptr && lastAdj[vT] != adj) {
		adjEntry adjVirt = lastAdj[vT];
		edge eCopy = S.twinEdge(adjVirt->theEdge());

		const Skeleton &STwin = skeleton(S.twinTreeNode(adjVirt->theEdge()));

		adjEntry adjCopy = (STwin.original(eCopy->source()) == vOrig) ?
			eCopy->adjSource() : eCopy->adjTarget();

		setPosInEmbedding(adjEdges,currentCopy,lastAdj,current,
			STwin, adjCopy);

		lastAdj[vT] = nullptr;
	}

}
Beispiel #11
0
void EmbedPQTree::ReplaceRoot(
	SListPure<PlanarLeafKey<indInfo*>*> &leafKeys,
	SListPure<edge> &frontier,
	SListPure<node> &opposed,
	SListPure<node> &nonOpposed,
	node v)
{
	SListPure<PQBasicKey<edge,indInfo*,bool>*> nodeFrontier;

	if (leafKeys.empty() && m_pertinentRoot == m_root)
	{
		front(m_pertinentRoot,nodeFrontier);
		m_pertinentRoot = 0;  // check for this emptyAllPertinentNodes

	} else {
		if (m_pertinentRoot->status() == FULL)
			ReplaceFullRoot(leafKeys,nodeFrontier,v);
		else
			ReplacePartialRoot(leafKeys,nodeFrontier,v);
	}

	// Check the frontier and get the direction indicators.
	while (!nodeFrontier.empty())
	{
		PQBasicKey<edge,indInfo*,bool>* entry = nodeFrontier.popFrontRet();
		if (entry->userStructKey()) // is a regular leaf
			frontier.pushBack(entry->userStructKey());

		else if (entry->userStructInfo()) {
			if (entry->userStructInfo()->changeDir)
				opposed.pushBack(entry->userStructInfo()->v);
			else
				nonOpposed.pushBack(entry->userStructInfo()->v);
		}
	}
}
Beispiel #12
0
node PivotMDS::getRootedPath(const Graph& G)
{
	node head = nullptr;
	NodeArray<bool> visited(G, false);
	SListPure<node> neighbors;
	// in every path there are two nodes with degree 1 and
	// each node has at most degree 2
	for(node v : G.nodes)
	{
		int degree = 0;
		visited[v] = true;
		neighbors.pushBack(v);

		for(adjEntry adj : v->adjEntries) {
			node w = adj->twinNode();
			if (!visited[w])
			{
				neighbors.pushBack(w);
				visited[w]=true;
				++degree;
			}
		}
		if (degree > 2) {
			neighbors.clear();
			return nullptr;
		}
		if (degree == 1) {
			head = v;
		}
		for(node u : neighbors) {
			visited[u] = false;
		}
		neighbors.clear();
	}
	return head;
}
// Function ReplaceFullRoot either replaces the full root 
// or one full child of a partial root of a pertinent subtree
// by a single P-node  with leaves corresponding the keys stored in leafKeys.
void PlanarSubgraphPQTree::
ReplaceFullRoot(SListPure<PlanarLeafKey<whaInfo*>*> &leafKeys)
{

	PQLeaf<edge,whaInfo*,bool>          *leafPtr     = 0; // dummy
	PQInternalNode<edge,whaInfo*,bool>	*nodePtr     = 0; // dummy
	//PQNodeKey<edge,whaInfo*,bool>	    *nodeInfoPtr = 0; // dummy
	PQNode<edge,whaInfo*,bool>		    *currentNode = 0; // dummy
	SListIterator<PlanarLeafKey<whaInfo*>* >  it;

	if (!leafKeys.empty() && leafKeys.front() == leafKeys.back())
	{
		//ReplaceFullRoot: replace pertinent root by a single leaf
		leafPtr = OGDF_NEW PQLeaf<edge,whaInfo*,bool>(m_identificationNumber++,
                    EMPTY,(PQLeafKey<edge,whaInfo*,bool>*)leafKeys.front());
		exchangeNodes(m_pertinentRoot,(PQNode<edge,whaInfo*,bool>*) leafPtr);
		if (m_pertinentRoot == m_root)
			m_root = (PQNode<edge,whaInfo*,bool>*) leafPtr;      
	}
	else if (!leafKeys.empty()) // at least two leaves
	{
		//replace pertinent root by a $P$-node
		if ((m_pertinentRoot->type() == P_NODE) || 
			(m_pertinentRoot->type() == Q_NODE))
		{
			nodePtr = (PQInternalNode<edge,whaInfo*,bool>*)m_pertinentRoot;
			nodePtr->type(P_NODE);
			nodePtr->status(PERTROOT);
			nodePtr->childCount(0);
			while (!fullChildren(m_pertinentRoot)->empty())
			{	
				currentNode = fullChildren(m_pertinentRoot)->popFrontRet();
				removeChildFromSiblings(currentNode);
			}
		}      
		else if (m_pertinentRoot->type() == LEAF)
		{
			nodePtr = OGDF_NEW PQInternalNode<edge,whaInfo*,bool>(m_identificationNumber++,
														 P_NODE,EMPTY);
			exchangeNodes(m_pertinentRoot,nodePtr);
		}
		SListPure<PQLeafKey<edge,whaInfo*,bool>*> castLeafKeys;
		for (it = leafKeys.begin(); it.valid(); ++it)
			castLeafKeys.pushBack((PQLeafKey<edge,whaInfo*,bool>*) *it);
		addNewLeavesToTree(nodePtr,castLeafKeys);
	}
  
}
void FaceSinkGraph::doInit()
{
	const ConstCombinatorialEmbedding &E = *m_pE;

	NodeArray<node> sinkSwitch(E,0); // corresponding node in F (if any)
	NodeArray<bool> isSinkSwitch(E,true);

	face f;
	forall_faces(f,E)
	{
		node faceNode = newNode();
		m_originalFace[faceNode] = f;

		SListPure<node> nodesInF;

		adjEntry adj1 = f->firstAdj(), adj = adj1;
		do {
			node v = adj->theNode();
			nodesInF.pushBack(v);

			if (v == m_source)
				m_containsSource[faceNode] = true;

			isSinkSwitch[adj->theEdge()->source()] = false;

			adj = adj->twin()->cyclicPred();
		} while (adj != adj1);

		SListConstIterator<node> it;
		for(it = nodesInF.begin(); it.valid(); ++it)
		{
			node v = *it;
			if(isSinkSwitch[v])	{
				if (sinkSwitch[v] == 0) {
					node vF = newNode();
					m_originalNode[vF] = v;
					sinkSwitch[v] = vF;
				}

				newEdge(faceNode,sinkSwitch[v]);
			}
		}

		for(it = nodesInF.begin(); it.valid(); ++it)
			isSinkSwitch[*it] = true;
	}
void UpwardPlanarSubgraphSimple::dfsBuildSpanningTree(
	node v,
	SListPure<edge> &treeEdges,
	NodeArray<bool> &visited)
{
	visited[v] = true;

	for(adjEntry adj : v->adjEntries) {
		edge e = adj->theEdge();
		node w = e->target();
		if(w == v) continue;

		if(!visited[w]) {
			treeEdges.pushBack(e);
			dfsBuildSpanningTree(w,treeEdges,visited);
		}
	}
}
void UpwardPlanarSubgraphSimple::dfsBuildSpanningTree(
	node v,
	SListPure<edge> &treeEdges,
	NodeArray<bool> &visited)
{
	visited[v] = true;

	edge e;
	forall_adj_edges(e,v)
	{
		node w = e->target();
		if(w == v) continue;

		if(!visited[w]) {
			treeEdges.pushBack(e);
			dfsBuildSpanningTree(w,treeEdges,visited);
		}
	}
Beispiel #17
0
// Function ReplaceFullRoot either replaces the full root 
// or one full child of a partial root of a pertinent subtree
// by a single P-node  with leaves corresponding the keys stored in leafKeys.
void PlanarPQTree::ReplaceFullRoot(SListPure<PlanarLeafKey<indInfo*>*> &leafKeys)
{
	if (!leafKeys.empty() && leafKeys.front() == leafKeys.back())
	{
		//ReplaceFullRoot: replace pertinent root by a single leaf
		PQLeaf<edge,indInfo*,bool> *leafPtr =
			OGDF_NEW PQLeaf<edge,indInfo*,bool>(m_identificationNumber++,
            EMPTY,(PQLeafKey<edge,indInfo*,bool>*)leafKeys.front());

		exchangeNodes(m_pertinentRoot,(PQNode<edge,indInfo*,bool>*) leafPtr);
		if (m_pertinentRoot == m_root)
			m_root = (PQNode<edge,indInfo*,bool>*) leafPtr;      
		m_pertinentRoot = 0;  // check for this emptyAllPertinentNodes
	}

	else if (!leafKeys.empty()) // at least two leaves
	{
		PQInternalNode<edge,indInfo*,bool> *nodePtr = 0; // dummy
		//replace pertinent root by a $P$-node
		if ((m_pertinentRoot->type() == PQNodeRoot::PNode) || 
			(m_pertinentRoot->type() == PQNodeRoot::QNode))
		{
			nodePtr = (PQInternalNode<edge,indInfo*,bool>*)m_pertinentRoot;
			nodePtr->type(PQNodeRoot::PNode);
			nodePtr->childCount(0);
			while (!fullChildren(m_pertinentRoot)->empty())
				removeChildFromSiblings(fullChildren(m_pertinentRoot)->popFrontRet());
		}      
		else if (m_pertinentRoot->type() == PQNodeRoot::leaf)
		{
			nodePtr = OGDF_NEW PQInternalNode<edge,indInfo*,bool>(m_identificationNumber++,
														 PQNodeRoot::PNode,EMPTY);
			exchangeNodes(m_pertinentRoot,nodePtr);
			m_pertinentRoot = 0;  // check for this emptyAllPertinentNodes
		}
		
		SListPure<PQLeafKey<edge,indInfo*,bool>*> castLeafKeys;
		SListIterator<PlanarLeafKey<indInfo*>* >  it;
		for (it = leafKeys.begin(); it.valid(); ++it)
			castLeafKeys.pushBack((PQLeafKey<edge,indInfo*,bool>*) *it);
		addNewLeavesToTree(nodePtr,castLeafKeys);
	}
}
//in ClusterGraph??
//is not yet recursive!!!
node collapseCluster(ClusterGraph& CG, cluster c, Graph& G)
{
	OGDF_ASSERT(c->cCount() == 0)

	ListIterator<node> its;
	SListPure<node> collaps;

	//we should check here if not empty
	node robinson = (*(c->nBegin()));

	for (its = c->nBegin(); its.valid(); its++)
		collaps.pushBack(*its);

	CG.collaps(collaps, G);

	if (c != CG.rootCluster())
		CG.delCluster(c);

	return robinson;
}
// test if graphAcyclicTest plus edges in tmpAugmented is acyclic
// removes added edges again
bool UpwardPlanarSubgraphSimple::checkAcyclic(
	GraphCopySimple &graphAcyclicTest,
	SList<Tuple2<node,node> > &tmpAugmented)
{
	SListPure<edge> added;

	SListConstIterator<Tuple2<node,node> > it;
	for(it = tmpAugmented.begin(); it.valid(); ++it)
		added.pushBack(graphAcyclicTest.newEdge(
			graphAcyclicTest.copy((*it).x1()),
			graphAcyclicTest.copy((*it).x2())));

	bool acyclic = isAcyclic(graphAcyclicTest);

	SListConstIterator<edge> itE;
	for(itE = added.begin(); itE.valid(); ++itE)
		graphAcyclicTest.delEdge(*itE);

	return acyclic;
}
// Reduction reduced a set of leaves determined by their keys stored 
// in leafKeys. Integer redNumber is for debugging only.
bool PlanarSubgraphPQTree::
Reduction(SListPure<PlanarLeafKey<whaInfo*>*> &leafKeys,
		  SList<PQLeafKey<edge,whaInfo*,bool>*> &eliminatedKeys,
		  int redNumber)
{
	SListPure<PQLeafKey<edge,whaInfo*,bool>*> castLeafKeys;

	SListIterator<PlanarLeafKey<whaInfo*>* >  it;
	for (it = leafKeys.begin(); it.valid(); ++it)
	{
		castLeafKeys.pushBack((PQLeafKey<edge,whaInfo*,bool>*) *it);
		#ifdef OGDF_DEBUG
		if (int(ogdf::debugLevel) >= int(dlHeavyChecks))
		{		
			cout << (*it)->print() << endl;
		}
		#endif
	}

	determineMinRemoveSequence(castLeafKeys,eliminatedKeys);
	removeEliminatedLeaves(eliminatedKeys);

	SListIterator<PQLeafKey<edge,whaInfo*,bool>* >  itn = castLeafKeys.begin();
	SListIterator<PQLeafKey<edge,whaInfo*,bool>* >  itp = itn++;
	for (; itn.valid();)
	{
		if ((*itn)->nodePointer()->status()== WHA_DELETE) 
		{
			itn++;
			castLeafKeys.delSucc(itp);
		}
		else
			itp = itn++;
	}
	
	if ((*castLeafKeys.begin())->nodePointer()->status() == WHA_DELETE)
		castLeafKeys.popFront();

	
	return Reduce(castLeafKeys,redNumber);
}
Beispiel #21
0
//
// embed original graph according to embedding of skeletons
//
// The procedure also handles the case when some (real or virtual)
// edges are reversed (used in upward-planarity algorithms)
void PlanarSPQRTree::embed(Graph &G)
{
	OGDF_ASSERT(&G == &originalGraph());

	const Skeleton &S = skeleton(rootNode());
	const Graph &M = S.getGraph();

	for (node v : M.nodes)
	{
		node vOrig = S.original(v);
		SListPure<adjEntry> adjEdges;

		for (adjEntry adj : v->adjEdges) {
			edge e = adj->theEdge();
			edge eOrig = S.realEdge(e);

			if (eOrig != nullptr) {
				adjEntry adjOrig = (vOrig == eOrig->source()) ?
					eOrig->adjSource() : eOrig->adjTarget();
				OGDF_ASSERT(adjOrig->theNode() == S.original(v));
				adjEdges.pushBack(adjOrig);

			} else {
				node wT    = S.twinTreeNode(e);
				edge eTwin = S.twinEdge(e);
				expandVirtualEmbed(wT,
					(vOrig == skeleton(wT).original(eTwin->source())) ?
					eTwin->adjSource() : eTwin->adjTarget(),
					adjEdges);
			}
		}

		G.sort(vOrig,adjEdges);
	}

	edge e;
	forall_adj_edges(e,rootNode()) {
		node wT = e->target();
		if (wT != rootNode())
			createInnerVerticesEmbed(G, wT);
	}
Beispiel #22
0
// original variant of st-augmentation
// Inserts also new nodes representing faces into G.
void FaceSinkGraph::stAugmentation(
	node h,                       // node corresponding to external face
	Graph &G,                     // original graph (not const)
	SList<node> &augmentedNodes,  // list of augmented nodes
	SList<edge> &augmentedEdges)  // list of augmented edges
{
	SListPure<node> roots;
	for(node v : nodes) {
		node vOrig = m_originalNode[v];
		if (vOrig != nullptr && vOrig->indeg() > 0 && vOrig->outdeg() > 0)
			roots.pushBack(v);
	}

	node vh = dfsStAugmentation(h,nullptr,G,augmentedNodes,augmentedEdges);

	SListConstIterator<node> it;
	for(it = roots.begin(); it.valid(); ++it)
		dfsStAugmentation(*it,nullptr,G,augmentedNodes,augmentedEdges);

	augmentedEdges.pushBack(G.newEdge(m_source,vh));

}
Beispiel #23
0
// The function front scans the frontier of nodePtr. It returns the keys 
// of the leaves found in the frontier of nodePtr in a SListPure. 
// These keys include keys of direction indicators detected in the frontier.
//
// CAREFUL: Funktion marks all full nodes for destruction. 
//			Only to be used in connection with replaceRoot. 
//
void EmbedPQTree::front(
	PQNode<edge,indInfo*,bool>* nodePtr,
	SListPure<PQBasicKey<edge,indInfo*,bool>*> &keys)
{   
	Stack<PQNode<edge,indInfo*,bool>*> S;
	S.push(nodePtr);
  
	while (!S.empty())
	{
		PQNode<edge,indInfo*,bool> *checkNode = S.pop();

		if (checkNode->type() == PQNodeRoot::leaf)
			keys.pushBack((PQBasicKey<edge,indInfo*,bool>*) checkNode->getKey());      
		else
		{
			PQNode<edge,indInfo*,bool>* firstSon = 0;
			if (checkNode->type() == PQNodeRoot::PNode)
			{  
				firstSon = checkNode->referenceChild();
			}
 			else if (checkNode->type() == PQNodeRoot::QNode)
			{
				firstSon = checkNode->getEndmost(RIGHT);
				// By this, we make sure that we start on the left side
				// since the left endmost child will be on top of the stack
			}

			if (firstSon->status() == INDICATOR)
			{
				keys.pushBack((PQBasicKey<edge,indInfo*,bool>*) firstSon->getNodeInfo());
				m_pertinentNodes->pushBack(firstSon);
				destroyNode(firstSon);
			}
			else
				S.push(firstSon);

			PQNode<edge,indInfo*,bool> *nextSon = firstSon->getNextSib(0);
			PQNode<edge,indInfo*,bool> *oldSib = firstSon;
			while (nextSon && nextSon != firstSon)
			{
				if (nextSon->status() == INDICATOR)
				{
					// Direction indicators point with their left sibling pointer
					// in the direction of their sequence. If an indicator is scanned
					// from the opposite direction, coming from its right sibling
					// the corresponding sequence must be reversed.
					if (oldSib == nextSon->getSib(LEFT)) //Direction changed
						nextSon->getNodeInfo()->userStructInfo()->changeDir = true;
					keys.pushBack((PQBasicKey<edge,indInfo*,bool>*) nextSon->getNodeInfo());
					m_pertinentNodes->pushBack(nextSon);
				}
				else
					S.push(nextSon);

				PQNode<edge,indInfo*,bool> *holdSib = nextSon->getNextSib(oldSib);
				oldSib = nextSon;
				nextSon = holdSib;
			}
		}
	}
}
Beispiel #24
0
void EmbedPQTree::ReplaceFullRoot(
	SListPure<PlanarLeafKey<IndInfo*>*> &leafKeys,
	SListPure<PQBasicKey<edge,IndInfo*,bool>*> &frontier,
	node v,
	bool addIndicator,
	PQNode<edge,IndInfo*,bool> *opposite)
{
	EmbedIndicator *newInd = nullptr;

	front(m_pertinentRoot,frontier);
	if (addIndicator)
	{
		IndInfo *newInfo = new IndInfo(v);
		PQNodeKey<edge,IndInfo*,bool> *nodeInfoPtr = new PQNodeKey<edge,IndInfo*,bool>(newInfo);
		newInd = new EmbedIndicator(m_identificationNumber++, nodeInfoPtr);
		newInd->setNodeInfo(nodeInfoPtr);
		nodeInfoPtr->setNodePointer(newInd);
	}

	if (!leafKeys.empty() && leafKeys.front() == leafKeys.back())
	{
		//ReplaceFullRoot: replace pertinent root by a single leaf
		if (addIndicator)
		{
			opposite = m_pertinentRoot->getNextSib(opposite);
			if (!opposite) // m_pertinentRoot is endmost child
			{
				addNodeToNewParent(m_pertinentRoot->parent(), newInd, m_pertinentRoot, opposite);
			}
			else
				addNodeToNewParent(nullptr,newInd,m_pertinentRoot,opposite);

			// Setting the sibling pointers into opposite direction of
			// scanning the front allows to track swaps of the indicator
			newInd->changeSiblings(m_pertinentRoot,nullptr);
			newInd->changeSiblings(opposite,nullptr);
			newInd->putSibling(m_pertinentRoot,PQNodeRoot::SibDirection::Left);
			newInd->putSibling(opposite,PQNodeRoot::SibDirection::Right);
		}
		PQLeaf<edge,IndInfo*,bool> *leafPtr =
			new PQLeaf<edge,IndInfo*,bool>(m_identificationNumber++,
			PQNodeRoot::PQNodeStatus::Empty,(PQLeafKey<edge,IndInfo*,bool>*)leafKeys.front());
		exchangeNodes(m_pertinentRoot,(PQNode<edge,IndInfo*,bool>*) leafPtr);
		if (m_pertinentRoot == m_root)
			m_root = (PQNode<edge,IndInfo*,bool>*) leafPtr;
		m_pertinentRoot = nullptr;  // check for this emptyAllPertinentNodes
	}

	else if (!leafKeys.empty()) // at least two leaves
	{
		//replace pertinent root by a $P$-node
		if (addIndicator)
		{
			opposite = m_pertinentRoot->getNextSib(opposite);
			if (!opposite) // m_pertinentRoot is endmost child
			{
				addNodeToNewParent(m_pertinentRoot->parent(), newInd, m_pertinentRoot, opposite);
			}
			else
				addNodeToNewParent(nullptr, newInd, m_pertinentRoot, opposite);

			// Setting the sibling pointers into opposite direction of
			// scanning the front allows to track swaps of the indicator
			newInd->changeSiblings(m_pertinentRoot,nullptr);
			newInd->changeSiblings(opposite,nullptr);
			newInd->putSibling(m_pertinentRoot,PQNodeRoot::SibDirection::Left);
			newInd->putSibling(opposite,PQNodeRoot::SibDirection::Right);
		}

		PQInternalNode<edge,IndInfo*,bool> *nodePtr = nullptr; // dummy
		if ((m_pertinentRoot->type() == PQNodeRoot::PQNodeType::PNode) ||
			(m_pertinentRoot->type() == PQNodeRoot::PQNodeType::QNode))
		{
			nodePtr = (PQInternalNode<edge,IndInfo*,bool>*)m_pertinentRoot;
			nodePtr->type(PQNodeRoot::PQNodeType::PNode);
			nodePtr->childCount(0);
			while (!fullChildren(m_pertinentRoot)->empty())
			{
				PQNode<edge,IndInfo*,bool> *currentNode =
					fullChildren(m_pertinentRoot)->popFrontRet();
				removeChildFromSiblings(currentNode);
			}
		}
		else if (m_pertinentRoot->type() == PQNodeRoot::PQNodeType::Leaf)
		{
			nodePtr = new PQInternalNode<edge,IndInfo*,bool>(m_identificationNumber++,
			                                                 PQNodeRoot::PQNodeType::PNode,
			                                                 PQNodeRoot::PQNodeStatus::Empty);
			exchangeNodes(m_pertinentRoot,nodePtr);
			m_pertinentRoot = nullptr;  // check for this emptyAllPertinentNodes
		}

		SListPure<PQLeafKey<edge, IndInfo*, bool>*> castLeafKeys;
		for (PlanarLeafKey<IndInfo*> *key : leafKeys)
			castLeafKeys.pushBack(static_cast<PQLeafKey<edge, IndInfo*, bool>*>(key));
		addNewLeavesToTree(nodePtr, castLeafKeys);
	}
}
Beispiel #25
0
	//--------------------------------------------------------------------
	// actual algorithm call
	//--------------------------------------------------------------------
	Module::ReturnType VarEdgeInserterDynCore::call(
		const Array<edge> &origEdges,
		RemoveReinsertType rrPost,
		double percentMostCrossed)
	{
		double T;
		usedTime(T);

		Module::ReturnType retValue = Module::retFeasible;
		m_runsPostprocessing = 0;

		if (origEdges.size() == 0)
			return Module::retOptimal;  // nothing to do

		SListPure<edge> currentOrigEdges;

		if (rrPost == rrIncremental) {
			for (edge e : m_pr.edges)
				currentOrigEdges.pushBack(m_pr.original(e));

			// insertion of edges
			for (int i = origEdges.low(); i <= origEdges.high(); ++i)
			{
				edge eOrig = origEdges[i];
				storeTypeOfCurrentEdge(eOrig);

				m_pBC = createBCandSPQRtrees();
				SList<adjEntry> eip;
				insert(eOrig, eip);
				m_pr.insertEdgePath(eOrig, eip);
				delete m_pBC;

				currentOrigEdges.pushBack(eOrig);

				bool improved;
				do {
					++m_runsPostprocessing;
					improved = false;

					for (edge eOrigRR : currentOrigEdges)
					{
						int pathLength = (m_pCost != nullptr) ? costCrossed(eOrigRR) : (m_pr.chain(eOrigRR).size() - 1);
						if (pathLength == 0) continue; // cannot improve

						m_pr.removeEdgePath(eOrigRR);

						storeTypeOfCurrentEdge(eOrigRR);

						m_pBC = createBCandSPQRtrees();
						SList<adjEntry> eip;
						insert(eOrigRR, eip);
						m_pr.insertEdgePath(eOrigRR, eip);
						delete m_pBC;

						int newPathLength = (m_pCost != nullptr) ? costCrossed(eOrigRR) : (m_pr.chain(eOrigRR).size() - 1);
						OGDF_ASSERT(newPathLength <= pathLength);

						if (newPathLength < pathLength)
							improved = true;
					}
				} while (improved);
			}

		}
		else {

			// insertion of edges
			m_pBC = createBCandSPQRtrees();

			for (int i = origEdges.low(); i <= origEdges.high(); ++i)
			{
				edge eOrig = origEdges[i];
				storeTypeOfCurrentEdge(eOrig);

				SList<adjEntry> eip;
				insert(eOrig, eip);
				m_pBC->insertEdgePath(eOrig, eip);
			}

			delete m_pBC;

			// postprocessing (remove-reinsert heuristc)
			const int m = m_pr.original().numberOfEdges();
			SListPure<edge> rrEdges;

			switch (rrPost)
			{
			case rrAll:
			case rrMostCrossed:
				for (int i = m_pr.startEdge(); i < m_pr.stopEdge(); ++i)
					rrEdges.pushBack(m_pr.e(i));
				break;

			case rrInserted:
				for (int i = origEdges.low(); i <= origEdges.high(); ++i)
					rrEdges.pushBack(origEdges[i]);
				break;

			case rrNone:
			case rrIncremental:
			case rrIncInserted:
				break;
			}

			// marks the end of the interval of rrEdges over which we iterate
			// initially set to invalid iterator which means all edges
			SListConstIterator<edge> itStop;

			bool improved;
			do {
				// abort postprocessing if time limit reached
				if (m_timeLimit >= 0 && m_timeLimit <= usedTime(T)) {
					retValue = Module::retTimeoutFeasible;
					break;
				}

				++m_runsPostprocessing;
				improved = false;

				if (rrPost == rrMostCrossed)
				{
					VEICrossingsBucket bucket(&m_pr);
					rrEdges.bucketSort(bucket);

					const int num = int(0.01 * percentMostCrossed * m);
					itStop = rrEdges.get(num);
				}

				SListConstIterator<edge> it;
				for (it = rrEdges.begin(); it != itStop; ++it)
				{
					edge eOrig = *it;

					int pathLength = (m_pCost != nullptr) ? costCrossed(eOrig) : (m_pr.chain(eOrig).size() - 1);
					if (pathLength == 0) continue; // cannot improve

					m_pr.removeEdgePath(eOrig);

					storeTypeOfCurrentEdge(eOrig);

					m_pBC = createBCandSPQRtrees();
					SList<adjEntry> eip;
					insert(eOrig, eip);
					m_pr.insertEdgePath(eOrig, eip);
					delete m_pBC;

					// we cannot find a shortest path that is longer than before!
					int newPathLength = (m_pCost != nullptr) ? costCrossed(eOrig) : (m_pr.chain(eOrig).size() - 1);
					OGDF_ASSERT(newPathLength <= pathLength);

					if (newPathLength < pathLength)
						improved = true;
				}

			} while (improved);
		}


#ifdef OGDF_DEBUG
		bool isPlanar =
#endif
			planarEmbed(m_pr);

		OGDF_ASSERT(isPlanar);

		m_pr.removePseudoCrossings();
		OGDF_ASSERT(m_pr.representsCombEmbedding());

		return retValue;
	}
Beispiel #26
0
// separate pertinent nodes in the lists of possible different minor-types
void FindKuratowskis::splitInMinorTypes(
			const SListPure<adjEntry>& externalFacePath,
			int marker)
{
	// mark nodes, which are before stopX or behind stopY in CCW-traversal and add
	// all extern nodes strictly between stopX and stopY to list
	// externE for minor E (pertinent nodes are considered because of the
	// position of z left or right of w)
	SListConstIterator<adjEntry> itExtern;
	SListIterator<WInfo> it = k.wNodes.begin();
	node x;
	bool between = false;
	SListPure<WInfo*> infoList;
	SListIterator<WInfo*> itList;
	ExternE externEdummy;
	// compute list of externE nodes
	for (itExtern=externalFacePath.begin(); itExtern.valid(); ++itExtern) {
		x = (*itExtern)->theNode();
		if (x==k.stopX || x==k.stopY) {
			between = (between==false) ? true : false;
		} else {
			if (!between) {
				m_wasHere[x]=marker;
			} else {
				if (pBM->externallyActive(x,k.V_DFI)) {
					externEdummy.theNode = x;

					// check minor type B and save extern linkage
					if (it.valid() && (*it).w==x &&
							!m_pertinentRoots[x].empty() &&
							m_lowPoint[m_nodeFromDFI[-m_dfi[m_pertinentRoots[x].back()]]]
							< k.V_DFI) {
						WInfo& info(*it);

						// checking minor type B
						info.minorType |= WInfo::B;
						// mark extern node for later extraction
						externEdummy.startnodes.pushBack(0);
						// create externE-list
						k.externE.pushBack(externEdummy);
						// save extern linkage
						info.externEStart = k.externE.rbegin();
						info.externEEnd = k.externE.rbegin();
					} else {
						// create externE-list
						externEdummy.startnodes.clear();
						k.externE.pushBack(externEdummy);
					}

					// save for each wNode the first externally active successor
					// on the external face
					for (itList = infoList.begin(); itList.valid(); ++itList)
						(*itList)->firstExternEAfterW = x;
					infoList.clear();


				}

				// get appropriate WInfo
				if (it.valid() && (*it).w==x) {
					infoList.pushBack(&(*it));
					++it;
				}
			}
		}
	}

	// divide wNodes in different minor types
	// avoids multiple computation of the externE range
	itExtern = externalFacePath.begin();
	SListIterator<ExternE> itExternE = k.externE.begin();
	WInfo* oldInfo = NULL;
	for (it=k.wNodes.begin(); it.valid(); ++it) {
		WInfo& info(*it);

		// checking minor type A
		if (k.RReal!=k.V) info.minorType |= WInfo::A;

		// if a XYPath exists
		if (info.highestXYPath!=NULL) {
			if (m_wasHere[info.highestXYPath->front()->theNode()]==marker)
				info.pxAboveStopX = true;
			if (m_wasHere[info.highestXYPath->back()->theNode()]==marker)
				info.pyAboveStopY = true;

			// checking minor type C
			if (info.pxAboveStopX || info.pyAboveStopY)
				info.minorType |= WInfo::C;

			// checking minor type D
			if (info.zPath!=NULL) info.minorType |= WInfo::D;

			// checking minor type E
			if (!k.externE.empty()) {
				node t;

				// compute valid range of externE-nodes in linear time
				if (oldInfo!=NULL && info.highestXYPath==oldInfo->highestXYPath) {
					// found the same highestXYPath as before
					info.externEStart = oldInfo->externEStart;
					info.externEEnd = oldInfo->externEEnd;
					if (oldInfo->minorType & WInfo::E) info.minorType |= WInfo::E;
				} else {
					// compute range of a new highestXYPath
					node px;
					if (info.pxAboveStopX) px = k.stopX;
						else px = info.highestXYPath->front()->theNode();
					node py;
					if (info.pyAboveStopY) py = k.stopY;
						else py = info.highestXYPath->back()->theNode();
					while ((*itExtern)->theNode() != px) ++itExtern;
					t = (*(++itExtern))->theNode();
					node start = NULL;
					node end = NULL;
					while (t != py) {
						if (pBM->externallyActive(t,k.V_DFI)) {
							if (start==NULL) start = t;
							end = t;
						}
						t = (*(++itExtern))->theNode();
					}
					if (start != NULL) {
						while ((*itExternE).theNode != start) ++itExternE;
						info.externEStart = itExternE;
						// mark node to extract external subgraph later
						(*itExternE).startnodes.pushBack(0);
						node temp = start;
						while (temp != end) {
							temp = (*++itExternE).theNode;
							// mark node to extract external subgraph later
							(*itExternE).startnodes.pushBack(0);
						}
						info.externEEnd = itExternE;
						info.minorType |= WInfo::E;
					}
					oldInfo = &info;
				}
			}
		}

		/*
		// use this to find special kuratowski-structures
		if ((info.minorType & (WInfo::A|WInfo::B|WInfo::C|WInfo::D|WInfo::E)) ==
			(WInfo::A|WInfo::B|WInfo::C|WInfo::D|WInfo::E)) {
			char t; cin >> t;
		}
		*/
	}

	// extract the externalSubgraph of all saved externally active nodes
	// exclude the already extracted minor b-types
	#ifdef OGDF_DEBUG
	int visited = m_nodeMarker+1;
	#endif
	for (itExternE=k.externE.begin(); itExternE.valid(); ++itExternE) {
		if ((*itExternE).startnodes.empty()) continue;

		ExternE& externE(*itExternE);
		externE.startnodes.clear();
		if (m_bundles) {
			OGDF_ASSERT(m_wasHere[externE.theNode] < visited);
			extractExternalSubgraphBundles(externE.theNode,k.V_DFI,
										k.externalSubgraph,++m_nodeMarker);
		} else {
			extractExternalSubgraph(externE.theNode,k.V_DFI,externE.startnodes,
															externE.endnodes);
			SListIterator<int> itInt;
			SListPure<edge> dummy;
			for (itInt = externE.startnodes.begin(); itInt.valid(); ++itInt)
				externE.externalPaths.pushBack(dummy);
		}
	}
}
Beispiel #27
0
// extract external facepath in direction CCW and split the highest facepath
// in highest xy-paths. marker marks the node, highMarker is used to check,
// whether the node was visited before by the highest facepath traversal.
// highMarker+1 identifies the nodes that are zNodes.
void FindKuratowskis::extractExternalFacePath(
				SListPure<adjEntry>& externalFacePath,
				const ListPure<adjEntry>& highestFacePath,
				int marker,
				int highMarker)
{
	int dir = CCW;
	// x traverses the external facepath
	node x = pBM->successorWithoutShortCircuit(k.R,dir);
	externalFacePath.pushBack(pBM->beforeShortCircuitEdge(k.R,CCW));
	m_wasHere[k.R] = marker;
	while (x != k.R) {
		// set visited sign on nodes that are both on the highest and external facepath
		if (m_wasHere[x]>=highMarker) m_wasHere[x] = marker;
		externalFacePath.pushBack(pBM->beforeShortCircuitEdge(x,dir));
		x = pBM->successorWithoutShortCircuit(x,dir);
	}

	dir = CCW;
	x = pBM->successorWithoutShortCircuit(k.R,dir);
	ListConstIterator<adjEntry> highIt = highestFacePath.begin();
	OGDF_ASSERT(x == (*highIt)->theNode());
	SListPure<adjEntry> XYPathList;
	SListPure<adjEntry> zList;
	WInfo info;
	adjEntry adj = pBM->beforeShortCircuitEdge(k.R,CCW);
	adjEntry temp;
	while (x != k.R) {
		// go along the highest face path until next visited sign
		OGDF_ASSERT(adj->theNode()==x);
		if (m_wasHere[x] == marker) {
			XYPathList.clear();
			zList.clear();
			info.w = NULL;
			info.minorType = 0;
			info.highestXYPath = NULL;
			info.zPath = NULL;
			info.pxAboveStopX = false;
			info.pyAboveStopY = false;
			info.externEStart = NULL;
			info.externEEnd = NULL;
			info.firstExternEAfterW = NULL;
		}

		// push in wNodes-list
		if (pBM->pertinent(x)) {
			info.w = x;
			k.wNodes.pushBack(info);
		}

		// compute next highestXYPath
		if (m_wasHere[x] == marker &&
					m_wasHere[pBM->constSuccessorWithoutShortCircuit(x,dir)] != marker) {
			// traverse highFacePath to x
			while ((*highIt)->theNode() != x) ++highIt;
			OGDF_ASSERT(highIt.valid());
			XYPathList.pushBack(adj);
			OGDF_ASSERT((*highIt.succ())->theNode() !=
						pBM->constSuccessorWithoutShortCircuit(x,dir));

			// traverse highFacePath to next marker
			do {
				++highIt;
				if (!highIt.valid()) break;
				temp = *highIt;
				XYPathList.pushBack(temp);
				// check, if node is z-node and push one single z-node
				if (m_wasHere[temp->theNode()]==highMarker+1 && zList.empty())
					zList.pushBack(temp);
			} while (m_wasHere[temp->theNode()] != marker);

			// save highestXY-Path
			OGDF_ASSERT(!XYPathList.empty());
			k.highestXYPaths.pushBack(XYPathList);
			info.highestXYPath = &k.highestXYPaths.back();

			// compute path from zNode to V and save it
			if (!zList.empty()) {
				OGDF_ASSERT(zList.size()==1); // just one zNode for now
				temp = zList.back();
				do {
					do {
						temp = temp->cyclicSucc();
						OGDF_ASSERT(m_dfi[temp->twinNode()]==m_dfi[k.R] ||
									m_dfi[temp->twinNode()]>=m_dfi[k.RReal]);
					} while (m_edgeType[temp->theEdge()]==EDGE_BACK_DELETED);
					temp = temp->twin();
					zList.pushBack(temp);
				} while (temp->theNode() != k.R);
				k.zPaths.pushBack(zList);
				info.zPath = &k.zPaths.back();
			}
		}

		// go on
		adj = pBM->beforeShortCircuitEdge(x,dir);
		x = pBM->successorWithoutShortCircuit(x,dir);
	}
}
Beispiel #28
0
//---------------------------------------------------------
// actual call (called by all variations of call)
//   crossing of generalizations is forbidden if forbidCrossingGens = true
//   edge costs are obeyed if costOrig != 0
//
Module::ReturnType FixedEmbeddingInserter::doCall(
	PlanRep &PG,
	const List<edge> &origEdges,
	bool forbidCrossingGens,
	const EdgeArray<int>  *costOrig,
	const EdgeArray<bool> *forbiddenEdgeOrig,
	const EdgeArray<unsigned int> *edgeSubGraph)
{
  
	double T;
	usedTime(T);
	
	ReturnType retValue = retFeasible;
	m_runsPostprocessing = 0;

	PG.embed(); 
	OGDF_ASSERT(PG.representsCombEmbedding() == true);

	if (origEdges.size() == 0)
		return retOptimal;  // nothing to do

	// initialization
	CombinatorialEmbedding E(PG);  // embedding of PG

	m_dual.clear();
	m_primalAdj.init(m_dual);
	m_nodeOf.init(E);

	// construct dual graph
	m_primalIsGen.init(m_dual,false);

	OGDF_ASSERT(forbidCrossingGens == false || forbiddenEdgeOrig == 0);

	if(forbidCrossingGens)
		constructDualForbidCrossingGens((const PlanRepUML&)PG,E);
	else
		constructDual(PG,E,forbiddenEdgeOrig);

	// m_delFaces and m_newFaces are used by removeEdge()
	// if we can't allocate memory for them, we throw an exception
	if (removeReinsert() != rrNone) {
		m_delFaces = new FaceSetSimple(E);
		if (m_delFaces == 0)
			OGDF_THROW(InsufficientMemoryException);

		m_newFaces = new FaceSetPure(E);
		if (m_newFaces == 0) {
			delete m_delFaces;
			OGDF_THROW(InsufficientMemoryException);
		}

	// no postprocessing -> no removeEdge()
	} else {
		m_delFaces = 0;
		m_newFaces = 0;
	}

	SListPure<edge> currentOrigEdges;
	if(removeReinsert() == rrIncremental) {
		edge e;
		forall_edges(e,PG)
			currentOrigEdges.pushBack(PG.original(e));
	}

	// insertion of edges
	ListConstIterator<edge> it;
	for(it = origEdges.begin(); it.valid(); ++it)
	{
		edge eOrig = *it;

		int eSubGraph = 0;  // edgeSubGraph-data of eOrig
		if(edgeSubGraph!=0) eSubGraph = (*edgeSubGraph)[eOrig];

		SList<adjEntry> crossed;
		if(costOrig != 0) {
			findShortestPath(PG, E, *costOrig,
				PG.copy(eOrig->source()),PG.copy(eOrig->target()),
				forbidCrossingGens ? ((const PlanRepUML&)PG).typeOrig(eOrig) : Graph::association,
				crossed, edgeSubGraph, eSubGraph);
		} else {
			findShortestPath(E,
				PG.copy(eOrig->source()),PG.copy(eOrig->target()),
				forbidCrossingGens ? ((const PlanRepUML&)PG).typeOrig(eOrig) : Graph::association,
				crossed);
		}

		insertEdge(PG,E,eOrig,crossed,forbidCrossingGens,forbiddenEdgeOrig);
		
		if(removeReinsert() == rrIncremental) {
			currentOrigEdges.pushBack(eOrig);

			bool improved;
			do {
				++m_runsPostprocessing;
				improved = false;
				
				SListConstIterator<edge> itRR;
				for(itRR = currentOrigEdges.begin(); itRR.valid(); ++itRR)
				{
					edge eOrigRR = *itRR;
		
					int pathLength;
					if(costOrig != 0)
						pathLength = costCrossed(eOrigRR,PG,*costOrig,edgeSubGraph);
					else
						pathLength = PG.chain(eOrigRR).size() - 1;
					if (pathLength == 0) continue; // cannot improve
		
					removeEdge(PG,E,eOrigRR,forbidCrossingGens,forbiddenEdgeOrig);
		
					// try to find a better insertion path
					SList<adjEntry> crossed;
					if(costOrig != 0) {
						int eSubGraph = 0;  // edgeSubGraph-data of eOrig
						if(edgeSubGraph!=0) eSubGraph = (*edgeSubGraph)[eOrigRR];

						findShortestPath(PG, E, *costOrig,
							PG.copy(eOrigRR->source()),PG.copy(eOrigRR->target()),
							forbidCrossingGens ? ((const PlanRepUML&)PG).typeOrig(eOrigRR) : Graph::association,
							crossed, edgeSubGraph, eSubGraph);
					} else {
						findShortestPath(E,
							PG.copy(eOrigRR->source()),PG.copy(eOrigRR->target()),
							forbidCrossingGens ? ((const PlanRepUML&)PG).typeOrig(eOrigRR) : Graph::association,
							crossed);
					}
					
					// re-insert edge (insertion path cannot be longer)
					insertEdge(PG,E,eOrigRR,crossed,forbidCrossingGens,forbiddenEdgeOrig);
		
					int newPathLength = (costOrig != 0) ? costCrossed(eOrigRR,PG,*costOrig,edgeSubGraph) : (PG.chain(eOrigRR).size() - 1);
					OGDF_ASSERT(newPathLength <= pathLength);
					
					if(newPathLength < pathLength)
						improved = true;
				}
			} while (improved);
		}
	}

	const Graph &G = PG.original();
	if(removeReinsert() != rrIncremental) {
		// postprocessing (remove-reinsert heuristc)
		SListPure<edge> rrEdges;
	
		switch(removeReinsert())
		{
		case rrAll:
		case rrMostCrossed: {
				const List<node> &origInCC = PG.nodesInCC();
				ListConstIterator<node> itV;
	
				for(itV = origInCC.begin(); itV.valid(); ++itV) {
					node vG = *itV;
					adjEntry adj;
					forall_adj(adj,vG) {
						if ((adj->index() & 1) == 0) continue;
						edge eG = adj->theEdge();
						rrEdges.pushBack(eG);
					}
				}
			}
			break;
	
		case rrInserted:
			for(ListConstIterator<edge> it = origEdges.begin(); it.valid(); ++it)
				rrEdges.pushBack(*it);
			break;

		case rrNone:
		case rrIncremental:
			break;
		}
	
		// marks the end of the interval of rrEdges over which we iterate
		// initially set to invalid iterator which means all edges
		SListConstIterator<edge> itStop;
	
		bool improved;
		do {
			// abort postprocessing if time limit reached
			if (m_timeLimit >= 0 && m_timeLimit <= usedTime(T)) {
				retValue = retTimeoutFeasible;
				break;
			}
				
			++m_runsPostprocessing;
			improved = false;
	
			if(removeReinsert() == rrMostCrossed)
			{
				FEICrossingsBucket bucket(&PG);
				rrEdges.bucketSort(bucket);
	
				const int num = int(0.01 * percentMostCrossed() * G.numberOfEdges());
				itStop = rrEdges.get(num);
			}
	
			SListConstIterator<edge> it;
			for(it = rrEdges.begin(); it != itStop; ++it)
			{
				edge eOrig = *it;
							
				// remove only if crossings on edge;
				// in especially: forbidden edges are never handled by postprocessing
				//   since there are no crossings on such edges
				int pathLength;
				if(costOrig != 0)
					pathLength = costCrossed(eOrig,PG,*costOrig,edgeSubGraph);
				else
					pathLength = PG.chain(eOrig).size() - 1;
				if (pathLength == 0) continue; // cannot improve
	
				removeEdge(PG,E,eOrig,forbidCrossingGens,forbiddenEdgeOrig);
	
				// try to find a better insertion path
				SList<adjEntry> crossed;
				if(costOrig != 0) {
					int eSubGraph = 0;  // edgeSubGraph-data of eOrig
					if(edgeSubGraph!=0) eSubGraph = (*edgeSubGraph)[eOrig];

					findShortestPath(PG, E, *costOrig,
						PG.copy(eOrig->source()),PG.copy(eOrig->target()),
						forbidCrossingGens ? ((const PlanRepUML&)PG).typeOrig(eOrig) : Graph::association,
						crossed, edgeSubGraph, eSubGraph);
				} else {
					findShortestPath(E,
						PG.copy(eOrig->source()),PG.copy(eOrig->target()),
						forbidCrossingGens ? ((const PlanRepUML&)PG).typeOrig(eOrig) : Graph::association,
						crossed);
				}
	
				// re-insert edge (insertion path cannot be longer)
				insertEdge(PG,E,eOrig,crossed,forbidCrossingGens,forbiddenEdgeOrig);
	
				int newPathLength = (costOrig != 0) ? costCrossed(eOrig,PG,*costOrig,edgeSubGraph) : (PG.chain(eOrig).size() - 1);
				OGDF_ASSERT(newPathLength <= pathLength);
				
				if(newPathLength < pathLength)
					improved = true;
			}
		} while(improved); // iterate as long as we improve
	}
Beispiel #29
0
void EmbedPQTree::ReplacePartialRoot(
	SListPure<PlanarLeafKey<indInfo*>*> &leafKeys,
	SListPure<PQBasicKey<edge,indInfo*,bool>*> &frontier,
	node v)
{
	m_pertinentRoot->childCount(m_pertinentRoot->childCount() + 1 -
								fullChildren(m_pertinentRoot)->size());

	PQNode<edge,indInfo*,bool> *predNode = 0; // dummy
	PQNode<edge,indInfo*,bool> *beginSequence = 0; // marks begin consecuitve seqeunce
	PQNode<edge,indInfo*,bool> *endSequence	= 0; // marks end consecutive sequence
	PQNode<edge,indInfo*,bool> *beginInd = 0; // initially, marks direct sibling indicator
											  // next to beginSequence not contained 
											  // in consectuive sequence

	// Get beginning and end of sequence.
	while (fullChildren(m_pertinentRoot)->size())
	{
		PQNode<edge,indInfo*,bool> *currentNode = fullChildren(m_pertinentRoot)->popFrontRet();
		if (!clientSibLeft(currentNode) ||
			clientSibLeft(currentNode)->status() == EMPTY)
		{
			if (!beginSequence)
			{
				beginSequence = currentNode;
				predNode = clientSibLeft(currentNode);
				beginInd =PQTree<edge,indInfo*,bool>::clientSibLeft(currentNode);
			}
			else 
				endSequence = currentNode;
		}
		else if (!clientSibRight(currentNode) ||
				 clientSibRight(currentNode)->status() == EMPTY )
		{
			if (!beginSequence)
			{
				beginSequence = currentNode;
				predNode = clientSibRight(currentNode);
				beginInd =PQTree<edge,indInfo*,bool>::clientSibRight(currentNode);
			}
			else 
				endSequence = currentNode;
		}
	}

	SListPure<PQBasicKey<edge,indInfo*,bool>*> partialFrontier;
	

	// Now scan the sequence of full nodes. Remove all of them but the last.
	// Call ReplaceFullRoot on the last one.
	// For every full node get its frontier. Scan intermediate indicators.

	PQNode<edge,indInfo*,bool> *currentNode = beginSequence;
	while (currentNode != endSequence)
	{		
		PQNode<edge,indInfo*,bool>* nextNode = 
			clientNextSib(currentNode,predNode);
		front(currentNode,partialFrontier);
		frontier.conc(partialFrontier);

		PQNode<edge,indInfo*,bool>* currentInd	= PQTree<edge,indInfo*,bool>::
			clientNextSib(currentNode,beginInd);

		// Scan for intermediate direction indicators.
		while (currentInd != nextNode)
		{
			PQNode<edge,indInfo*,bool> *nextInd = PQTree<edge,indInfo*,bool>::
				clientNextSib(currentInd,currentNode);
			if (currentNode == currentInd->getSib(RIGHT)) //Direction changed
				currentInd->getNodeInfo()->userStructInfo()->changeDir = true;
			frontier.pushBack((PQBasicKey<edge,indInfo*,bool>*) 
								currentInd->getNodeInfo());
			removeChildFromSiblings(currentInd);
			m_pertinentNodes->pushBack(currentInd);
			currentInd = nextInd;
		}

		removeChildFromSiblings(currentNode);
		currentNode = nextNode;
	}
		
	currentNode->parent(m_pertinentRoot);
	m_pertinentRoot = currentNode;
	ReplaceFullRoot(leafKeys,partialFrontier,v,true,beginInd);
	frontier.conc(partialFrontier);
}
Beispiel #30
0
void EmbedPQTree::ReplaceFullRoot(
	SListPure<PlanarLeafKey<indInfo*>*> &leafKeys,
	SListPure<PQBasicKey<edge,indInfo*,bool>*> &frontier,
	node v,
	bool addIndicator,
	PQNode<edge,indInfo*,bool> *opposite)
{
	EmbedIndicator *newInd = 0; 

	front(m_pertinentRoot,frontier);
	if (addIndicator)
	{
		indInfo *newInfo = OGDF_NEW indInfo(v);
		embedKey *nodeInfoPtr = OGDF_NEW embedKey(newInfo);
		newInd = OGDF_NEW EmbedIndicator(m_identificationNumber++,
			(PQNodeKey<edge,indInfo*,bool>*)nodeInfoPtr);
		newInd->setNodeInfo(nodeInfoPtr);
		nodeInfoPtr->setNodePointer(newInd);
	}

	if (!leafKeys.empty() && leafKeys.front() == leafKeys.back())
	{
		//ReplaceFullRoot: replace pertinent root by a single leaf
		if (addIndicator)
		{
			opposite = m_pertinentRoot->getNextSib(opposite);
			if (!opposite) // m_pertinentRoot is endmost child
			{
				addNodeToNewParent(m_pertinentRoot->parent(),newInd,
								   m_pertinentRoot,opposite);
			}
			else 
				addNodeToNewParent(0,newInd,m_pertinentRoot,opposite);

			// Setting the sibling pointers into opposite direction of
			// scanning the front allows to track swaps of the indicator
			newInd->changeSiblings(m_pertinentRoot,0);
			newInd->changeSiblings(opposite,0);
			newInd->putSibling(m_pertinentRoot,LEFT);
			newInd->putSibling(opposite,RIGHT);
		}
		PQLeaf<edge,indInfo*,bool> *leafPtr =
			OGDF_NEW PQLeaf<edge,indInfo*,bool>(m_identificationNumber++,
			EMPTY,(PQLeafKey<edge,indInfo*,bool>*)leafKeys.front());
		exchangeNodes(m_pertinentRoot,(PQNode<edge,indInfo*,bool>*) leafPtr);
 		if (m_pertinentRoot == m_root)
			m_root = (PQNode<edge,indInfo*,bool>*) leafPtr;      
		m_pertinentRoot = 0;  // check for this emptyAllPertinentNodes
	}

	else if (!leafKeys.empty()) // at least two leaves
	{
		//replace pertinent root by a $P$-node
		if (addIndicator)
		{
			opposite = m_pertinentRoot->getNextSib(opposite);
			if (!opposite) // m_pertinentRoot is endmost child
			{
				addNodeToNewParent(m_pertinentRoot->parent(),newInd,
								   m_pertinentRoot,opposite);
			}
			else 
				addNodeToNewParent(0,newInd,m_pertinentRoot,opposite);

			// Setting the sibling pointers into opposite direction of
			// scanning the front allows to track swaps of the indicator
			newInd->changeSiblings(m_pertinentRoot,0);
			newInd->changeSiblings(opposite,0);
			newInd->putSibling(m_pertinentRoot,LEFT);
			newInd->putSibling(opposite,RIGHT);
		}

		PQInternalNode<edge,indInfo*,bool> *nodePtr = 0; // dummy
		if ((m_pertinentRoot->type() == PQNodeRoot::PNode) || 
			(m_pertinentRoot->type() == PQNodeRoot::QNode))
		{
			nodePtr = (PQInternalNode<edge,indInfo*,bool>*)m_pertinentRoot;
			nodePtr->type(PQNodeRoot::PNode);
			nodePtr->childCount(0);
			while (!fullChildren(m_pertinentRoot)->empty())
			{	
				PQNode<edge,indInfo*,bool> *currentNode =
					fullChildren(m_pertinentRoot)->popFrontRet();
				removeChildFromSiblings(currentNode);
			}
		}      
		else if (m_pertinentRoot->type() == PQNodeRoot::leaf)
		{
			nodePtr = OGDF_NEW PQInternalNode<edge,indInfo*,bool>(m_identificationNumber++,
														 PQNodeRoot::PNode,EMPTY);
			exchangeNodes(m_pertinentRoot,nodePtr);
			m_pertinentRoot = 0;  // check for this emptyAllPertinentNodes
		}
	
		SListPure<PQLeafKey<edge,indInfo*,bool>*> castLeafKeys;
		SListIterator<PlanarLeafKey<indInfo*>* > it;
		for (it = leafKeys.begin(); it.valid(); ++it)
			castLeafKeys.pushBack((PQLeafKey<edge,indInfo*,bool>*) *it);
		addNewLeavesToTree(nodePtr,castLeafKeys);
	}  
}