ElementObjectData.cc 27 KB
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//
// Software License for AMDiS
//
// Copyright (c) 2010 Dresden University of Technology 
// All rights reserved.
// Authors: Simon Vey, Thomas Witkowski et al.
//
// This file is part of AMDiS
//
// See also license.opensource.txt in the distribution.


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#include "ElementObjectData.h"
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#include "VertexVector.h"
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namespace AMDiS {

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  void ElementObjects::addElement(ElInfo *elInfo)
  {
    FUNCNAME("ElementObjects::addElement()");

    TEST_EXIT_DBG(mesh)("Mesh not set!\n");

    Element *el = elInfo->getElement();


    // === First, add all element objects to the database. ===

    for (int i = 0; i < el->getGeo(VERTEX); i++)
      addVertex(el, i);
    
    for (int i = 0; i < el->getGeo(EDGE); i++)
      addEdge(el, i);      
    
    for (int i = 0; i < el->getGeo(FACE); i++)
      addFace(el, i);


    // === Get periodic boundary information. === 
    
    switch (mesh->getDim()) {
    case 2:
      for (int i = 0; i < el->getGeo(EDGE); i++) {
	if (mesh->isPeriodicAssociation(elInfo->getBoundary(EDGE, i))) {
	  // The current element's i-th edge is periodic.
	  Element *neigh = elInfo->getNeighbour(i);
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	  TEST_EXIT_DBG(neigh)("Should not happen!\n");
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	  DofEdge edge0 = el->getEdge(i);
	  DofEdge edge1 = neigh->getEdge(elInfo->getOppVertex(i));
	  BoundaryType boundaryType = elInfo->getBoundary(EDGE, i);
	  
	  // Add the periodic edge.
	  periodicEdges[make_pair(edge0, edge1)] = boundaryType;
	  periodicEdgeAssoc[edge0].insert(edge1);
	  
	  // Add both vertices of the edge to be periodic.
	  periodicVertices[make_pair(edge0.first, edge1.first)] = boundaryType;
	  periodicVertices[make_pair(edge0.second, edge1.second)] = boundaryType;
	  periodicDofAssoc[edge0.first].insert(boundaryType);
	  periodicDofAssoc[edge0.second].insert(boundaryType);
	  
	  TEST_EXIT_DBG(edge0.first == 
			mesh->getPeriodicAssociations(boundaryType)[edge1.first] &&
			edge0.second == 
			mesh->getPeriodicAssociations(boundaryType)[edge1.second])
	    ("Should not happen!\n");
	}
      }
      break;
    case 3:
      for (int i = 0; i < el->getGeo(FACE); i++) {
	if (mesh->isPeriodicAssociation(elInfo->getBoundary(FACE, i))) {
	  // The current element's i-th face is periodic.
	  Element *neigh = elInfo->getNeighbour(i);
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	  TEST_EXIT_DBG(neigh)("Should not happen!\n");
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	  DofFace face0 = el->getFace(i);
	  DofFace face1 = neigh->getFace(elInfo->getOppVertex(i));
	  BoundaryType boundaryType = elInfo->getBoundary(FACE, i);
	  
	  // Add the periodic face.
	  periodicFaces[make_pair(face0, face1)] = elInfo->getBoundary(i);
	  
	  /// Add all three vertices of the face to be periodic.
	  periodicVertices[make_pair(face0.get<0>(), face1.get<0>())] = boundaryType;
	  periodicVertices[make_pair(face0.get<1>(), face1.get<1>())] = boundaryType;
	  periodicVertices[make_pair(face0.get<2>(), face1.get<2>())] = boundaryType;
	  
	  periodicDofAssoc[face0.get<0>()].insert(boundaryType);
	  periodicDofAssoc[face0.get<1>()].insert(boundaryType);
	  periodicDofAssoc[face0.get<2>()].insert(boundaryType);
	  
	  TEST_EXIT_DBG(face0.get<0>() == 
			mesh->getPeriodicAssociations(boundaryType)[face1.get<0>()] &&
			face0.get<1>() == 
			mesh->getPeriodicAssociations(boundaryType)[face1.get<1>()] &&
			face0.get<2>() == 
			mesh->getPeriodicAssociations(boundaryType)[face1.get<2>()])
	    ("Should not happen!\n");
	  
	  // Create all three edges of the element and add them to be periodic.
	  DofEdge elEdge0 = make_pair(face0.get<0>(), face0.get<1>());
	  DofEdge elEdge1 = make_pair(face0.get<0>(), face0.get<2>());
	  DofEdge elEdge2 = make_pair(face0.get<1>(), face0.get<2>());
	  DofEdge neighEdge0 = make_pair(face1.get<0>(), face1.get<1>());
	  DofEdge neighEdge1 = make_pair(face1.get<0>(), face1.get<2>());
	  DofEdge neighEdge2 = make_pair(face1.get<1>(), face1.get<2>());
	  	  
	  periodicEdges[make_pair(elEdge0, neighEdge0)] = boundaryType;
	  periodicEdges[make_pair(elEdge1, neighEdge1)] = boundaryType;
	  periodicEdges[make_pair(elEdge2, neighEdge2)] = boundaryType;
	  
	  periodicEdgeAssoc[elEdge0].insert(neighEdge0);
	  periodicEdgeAssoc[elEdge1].insert(neighEdge1);
	  periodicEdgeAssoc[elEdge2].insert(neighEdge2);
	}
      }
      break;
    default:
      ERROR_EXIT("Should not happen!\n");
    }       
  }


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  void ElementObjects::createPeriodicData(const FiniteElemSpace *feSpace)
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  {
    FUNCNAME("ElementObjects::createPeriodicData()");

    TEST_EXIT_DBG(mesh)("Mesh not set!\n");

    // === Return, if there are no periodic vertices, i.e., there are no no  ===
    // === periodic boundaries in the mesh.                                  ===
    
    if (periodicVertices.size() == 0)
      return;
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    // === Get all vertex DOFs that have multiple periodic associations. ===
    
    // We group all vertices together, that have either two or three periodic
    // associations. For rectangular domains in 2D, the four corner vertices have all
    // two periodic associations. For box domains in 3D, the eight corner vertices
    // have all three periodic associations.

    vector<DegreeOfFreedom> multPeriodicDof2, multPeriodicDof3;
    for (map<DegreeOfFreedom, std::set<BoundaryType> >::iterator it = periodicDofAssoc.begin();
	 it != periodicDofAssoc.end(); ++it) {
      TEST_EXIT_DBG((mesh->getDim() == 2 && it->second.size() <= 2) ||
		    (mesh->getDim() == 3 && it->second.size() <= 3))
	("Should not happen!\n");
      
      if (it->second.size() == 2)
	multPeriodicDof2.push_back(it->first);
      if (it->second.size() == 3)
	multPeriodicDof3.push_back(it->first);
    }


    if (mesh->getDim() == 2) {
      TEST_EXIT_DBG(multPeriodicDof2.size() == 0 || 
		    multPeriodicDof2.size() == 4)
	("Should not happen (%d)!\n", multPeriodicDof2.size());
      TEST_EXIT_DBG(multPeriodicDof3.size() == 0)("Should not happen!\n");
    }
    if (mesh->getDim() == 3) {
      TEST_EXIT_DBG(multPeriodicDof3.size() == 0 || 
		    multPeriodicDof3.size() == 8)
	("Should not happen (%d)!\n", multPeriodicDof3.size());
    }
    
    
    if (multPeriodicDof2.size() > 0) {
      for (unsigned int i = 0; i < multPeriodicDof2.size(); i++) {
	DegreeOfFreedom dof0 = multPeriodicDof2[i];
	if (dof0 == -1)
	  continue;
	
	DegreeOfFreedom dof1 = -1;
	DegreeOfFreedom dof2 = -1;
	BoundaryType type0 = *(periodicDofAssoc[dof0].begin());
	BoundaryType type1 = *(++(periodicDofAssoc[dof0].begin()));
	
	for (PerBoundMap<DegreeOfFreedom>::iterator it = periodicVertices.begin();
	     it != periodicVertices.end(); ++it) {
	  if (it->first.first == dof0 && it->second == type0)
	    dof1 = it->first.second;
	  if (it->first.first == dof0 && it->second == type1)
	    dof2 = it->first.second;
	  
	  if (dof1 != -1 && dof2 != -1)
	    break;
	}
	
	TEST_EXIT_DBG(dof1 != -1 && dof2 != -1)("Should not happen!\n");
	
	DegreeOfFreedom dof3 = -1;
	for (PerBoundMap<DegreeOfFreedom>::iterator it = periodicVertices.begin();
	     it != periodicVertices.end(); ++it) {
	  if (it->first.first == dof1 && it->second == type1) {
	    dof3 = it->first.second;
	    
	    TEST_EXIT_DBG(periodicVertices[make_pair(dof2, dof3)] == type0)
	      ("Should not happen!\n");
	    
	    break;
	  }
	}
	  
	TEST_EXIT_DBG(dof3 != -1)("Should not happen!\n");
	TEST_EXIT_DBG(periodicVertices.count(make_pair(dof0, dof3)) == 0)
	  ("Should not happen!\n");
	TEST_EXIT_DBG(periodicVertices.count(make_pair(dof3, dof0)) == 0)
	  ("Should not happen!\n");
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 	periodicVertices[make_pair(dof0, dof3)] = 
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 	  provideConnectedPeriodicBoundary(feSpace->getAdmin(), type0, type1);
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 	periodicVertices[make_pair(dof3, dof0)] = 
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 	  provideConnectedPeriodicBoundary(feSpace->getAdmin(), type0, type1);
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	for (unsigned int j = i + 1; j < multPeriodicDof2.size(); j++)
	  if (multPeriodicDof2[j] == dof3)
	    multPeriodicDof2[j] = -1;
      }
    }

    if (multPeriodicDof3.size() > 0) {
      int nMultPeriodicDofs = multPeriodicDof3.size();
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      for (int i = 0; i < nMultPeriodicDofs; i++) {
	for (int j = i + 1; j < nMultPeriodicDofs; j++) {
	  pair<DegreeOfFreedom, DegreeOfFreedom> perDofs0 = 
	    make_pair(multPeriodicDof3[i], multPeriodicDof3[j]);
	  pair<DegreeOfFreedom, DegreeOfFreedom> perDofs1 = 
	    make_pair(multPeriodicDof3[j], multPeriodicDof3[i]);
	  
	  if (periodicVertices.count(perDofs0) == 0) {
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	    BoundaryType b = getNewBoundaryType(feSpace->getAdmin());
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	    periodicVertices[perDofs0] = b;
	    periodicVertices[perDofs1] = b;
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	  }
	}
      }
    }
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    // === Get all edges that have multiple periodic associations (3D only!). ===
    
    for (map<DofEdge, std::set<DofEdge> >::iterator it = periodicEdgeAssoc.begin();
	 it != periodicEdgeAssoc.end(); ++it) {
      if (it->second.size() > 1) {
	TEST_EXIT_DBG(mesh->getDim() == 3)("Should not happen!\n");
	TEST_EXIT_DBG(it->second.size() == 2)("Should not happen!\n");
	
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	DofEdge edge0 = it->first;
	DofEdge edge1 = *(it->second.begin());
	DofEdge edge2 = *(++(it->second.begin()));
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	pair<DofEdge, DofEdge> perEdge0 = make_pair(edge1, edge2);
	pair<DofEdge, DofEdge> perEdge1 = make_pair(edge2, edge1);

	TEST_EXIT_DBG(periodicEdges.count(make_pair(edge0, edge1)) == 1)
	  ("Should not happen!\n");
	TEST_EXIT_DBG(periodicEdges.count(make_pair(edge1, edge0)) == 1)
	  ("Should not happen!\n");

	BoundaryType type0 = periodicEdges[make_pair(edge0, edge1)];
	BoundaryType type1 = periodicEdges[make_pair(edge0, edge2)];
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	BoundaryType type2 = 
	  provideConnectedPeriodicBoundary(feSpace->getAdmin(), type0, type1);
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 	periodicEdges[perEdge0] = type2;
 	periodicEdges[perEdge1] = type2;
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      }
    }


    // === In debug mode we make some tests, if the periodic structures are set ===
    // === in a symmetric way, i.e., if A -> B for a specific boundary type,    ===
    // === there must be a mapping B -> A with the same boundary type.          ===
    
#if (DEBUG != 0)
    for (PerBoundMap<DegreeOfFreedom>::iterator it = periodicVertices.begin();
	 it != periodicVertices.end(); ++it) {
      pair<DegreeOfFreedom, DegreeOfFreedom> testVertex = 
	make_pair(it->first.second, it->first.first);
      
      TEST_EXIT_DBG(periodicVertices.count(testVertex) == 1)("Should not happen!\n");
      TEST_EXIT_DBG(periodicVertices[testVertex] == it->second)("Should not happen!\n");
    }

    for (PerBoundMap<DofEdge>::iterator it = periodicEdges.begin();
	 it != periodicEdges.end(); ++it) {
      pair<DofEdge, DofEdge> testEdge = 
	make_pair(it->first.second, it->first.first);
      
      TEST_EXIT_DBG(periodicEdges.count(testEdge) == 1)("Should not happen!\n");
      TEST_EXIT_DBG(periodicEdges[testEdge] == it->second)("Should not happen!\n");
    }
    
    for (PerBoundMap<DofFace>::iterator it = periodicFaces.begin();
	 it != periodicFaces.end(); ++it) {
      pair<DofFace, DofFace> testFace = 
	make_pair(it->first.second, it->first.first);
      
      TEST_EXIT_DBG(periodicFaces.count(testFace) == 1)("Should not happen!\n");
      TEST_EXIT_DBG(periodicFaces[testFace] == it->second)("Should not happen!\n");
    }
#endif       
  }


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  BoundaryType ElementObjects::getNewBoundaryType(DOFAdmin *admin)
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  {
    FUNCNAME("ElementObjects::getNewBoundaryType()");

    BoundaryType newPeriodicBoundaryType = 0;
    for (map<BoundaryType, VertexVector*>::iterator it = mesh->getPeriodicAssociations().begin();
	 it != mesh->getPeriodicAssociations().end(); ++it)
      newPeriodicBoundaryType = std::min(newPeriodicBoundaryType, it->first);
    
    TEST_EXIT_DBG(newPeriodicBoundaryType < 0)("Should not happen!\n");
    newPeriodicBoundaryType--;
    
    mesh->getPeriodicAssociations()[newPeriodicBoundaryType] = 
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      new VertexVector(admin, "");
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    return newPeriodicBoundaryType;
  }


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  BoundaryType ElementObjects::provideConnectedPeriodicBoundary(DOFAdmin *admin,
								BoundaryType b0, 
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								BoundaryType b1)
  {
    FUNCNAME("ElementObjects::provideConnectedPeriodicBoundary()");

    std::pair<BoundaryType, BoundaryType> bConn = 
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      (b0 <= b1 ? make_pair(b0, b1) : make_pair(b1, b0));
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    if (bConnMap.count(bConn) == 0) {
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      BoundaryType newPeriodicBoundaryType = getNewBoundaryType(admin);
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      VertexVector &vecB0 = mesh->getPeriodicAssociations(b0);
      VertexVector &vecB1 = mesh->getPeriodicAssociations(b1);
      VertexVector &vecC = mesh->getPeriodicAssociations(newPeriodicBoundaryType);

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      DOFIteratorBase it(const_cast<DOFAdmin*>(admin), USED_DOFS);
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      for (it.reset(); !it.end(); ++it) {
	if (!it.isDofFree()) {
	  TEST_EXIT_DBG(vecB1[vecB0[it.getDOFIndex()]] == vecB0[vecB1[it.getDOFIndex()]])
	    ("Should not happen!\n");

	  vecC[it.getDOFIndex()] = vecB1[vecB0[it.getDOFIndex()]];
	}
      }
      
      bConnMap[bConn] = newPeriodicBoundaryType;
    }


    return bConnMap[bConn];
  }


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  void ElementObjects::createRankData(map<int, int>& macroElementRankMap) 
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  {
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    FUNCNAME("ElementObjects::createRankData()");

    vertexOwner.clear();
    vertexInRank.clear();
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    for (map<DegreeOfFreedom, vector<ElementObjectData> >::iterator it = vertexElements.begin();
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	 it != vertexElements.end(); ++it) {
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      for (vector<ElementObjectData>::iterator it2 = it->second.begin(); 
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	   it2 != it->second.end(); ++it2) {
	int elementInRank = macroElementRankMap[it2->elIndex];
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	if (it2->elIndex > vertexInRank[it->first][elementInRank].elIndex)
	  vertexInRank[it->first][elementInRank] = *it2;

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	vertexOwner[it->first] = std::max(vertexOwner[it->first], elementInRank);
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      }
    }
    
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    edgeOwner.clear();
    edgeInRank.clear();
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    for (map<DofEdge, vector<ElementObjectData> >::iterator it = edgeElements.begin();
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	 it != edgeElements.end(); ++it) {
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      for (vector<ElementObjectData>::iterator it2 = it->second.begin(); 
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	   it2 != it->second.end(); ++it2) {
	int elementInRank = macroElementRankMap[it2->elIndex];
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	if (it2->elIndex > edgeInRank[it->first][elementInRank].elIndex)
	  edgeInRank[it->first][elementInRank] = *it2;

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	edgeOwner[it->first] = std::max(edgeOwner[it->first], elementInRank);
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      }
    }
    
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    faceOwner.clear();
    faceInRank.clear();
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    for (map<DofFace, vector<ElementObjectData> >::iterator it = faceElements.begin();
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	 it != faceElements.end(); ++it) {
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      for (vector<ElementObjectData>::iterator it2 = it->second.begin(); 
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	   it2 != it->second.end(); ++it2) {
	int elementInRank = macroElementRankMap[it2->elIndex];
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	if (it2->elIndex > faceInRank[it->first][elementInRank].elIndex)
	  faceInRank[it->first][elementInRank] = *it2;

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	faceOwner[it->first] = std::max(faceOwner[it->first], elementInRank);
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      }
    }
  }

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  void ElementObjects::createReverseModeData(const FiniteElemSpace* feSpace,
					     map<int, Element*> &elIndexMap,
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					     map<int, int> &elIndexTypeMap)
  {
    FUNCNAME("ElementObjects::createReverseModeData()");

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    // === In 2D, all reverse modes are always true! ===

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    if (mesh->getDim() == 2)
      return;

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    // === First, create reverse modes for all "directly" neighbouring elements. ===

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    for (map<DofEdge, vector<ElementObjectData> >::iterator edgeIt = edgeElements.begin();
	 edgeIt != edgeElements.end(); ++edgeIt) {

      vector<ElementObjectData>& els = edgeIt->second;

      for (unsigned int i = 0; i < els.size(); i++) {
	BoundaryObject obj0(elIndexMap[els[i].elIndex], 
			    elIndexTypeMap[els[i].elIndex], 
			    EDGE, els[i].ithObject);

	for (unsigned int j = i + 1; j < els.size(); j++) {
	  BoundaryObject obj1(elIndexMap[els[j].elIndex], 
			      elIndexTypeMap[els[j].elIndex], 
			      EDGE, els[j].ithObject);

	  bool reverseMode = 
	    BoundaryObject::computeReverseMode(obj0, obj1, feSpace, INTERIOR);

	  edgeReverseMode[make_pair(els[i], els[j])] = reverseMode;
	  edgeReverseMode[make_pair(els[j], els[i])] = reverseMode;
	}
      }
    }

    for (map<DofFace, vector<ElementObjectData> >::iterator faceIt = faceElements.begin();
	 faceIt != faceElements.end(); ++faceIt) {

      vector<ElementObjectData>& els = faceIt->second;

      for (unsigned int i = 0; i < els.size(); i++) {
	BoundaryObject obj0(elIndexMap[els[i].elIndex], 
			    elIndexTypeMap[els[i].elIndex], 
			    FACE, els[i].ithObject);

	for (unsigned int j = i + 1; j < els.size(); j++) {
	  BoundaryObject obj1(elIndexMap[els[j].elIndex], 
			      elIndexTypeMap[els[j].elIndex], 
			      FACE, els[j].ithObject);

	  bool reverseMode = 
	    BoundaryObject::computeReverseMode(obj0, obj1, feSpace, INTERIOR);

	  faceReverseMode[make_pair(els[i], els[j])] = reverseMode;
	  faceReverseMode[make_pair(els[j], els[i])] = reverseMode;
	}
      }
    }
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    // === And create reverse modes for periodic neighbouring elements. ===

    for (PerBoundMap<DofEdge>::iterator edgeIt = periodicEdges.begin();
	 edgeIt != periodicEdges.end(); ++edgeIt) {
      vector<ElementObjectData> &edges0 = edgeElements[edgeIt->first.first];
      vector<ElementObjectData> &edges1 = edgeElements[edgeIt->first.second];

      for (unsigned int i = 0; i < edges0.size(); i++) {
	BoundaryObject obj0(elIndexMap[edges0[i].elIndex], 
			    elIndexTypeMap[edges0[i].elIndex], 
			    EDGE, edges0[i].ithObject);

	for (unsigned int j = 0; j < edges1.size(); j++) {
	  BoundaryObject obj1(elIndexMap[edges1[j].elIndex], 
			      elIndexTypeMap[edges1[j].elIndex], 
			      EDGE, edges1[j].ithObject);

	  bool reverseMode = 
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	    BoundaryObject::computeReverseMode(obj0, obj1, feSpace, 
					       edgeIt->second);
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	  edgeReverseMode[make_pair(edges0[i], edges1[j])] = reverseMode;
	  edgeReverseMode[make_pair(edges1[j], edges0[i])] = reverseMode;
	}
      }
    }

    for (PerBoundMap<DofFace>::iterator faceIt = periodicFaces.begin();
	 faceIt != periodicFaces.end(); ++faceIt) {
      vector<ElementObjectData> &faces0 = faceElements[faceIt->first.first];
      vector<ElementObjectData> &faces1 = faceElements[faceIt->first.second];

      TEST_EXIT_DBG(faces0.size() == faces1.size() == 1)("Should not happen!\n");

      BoundaryObject obj0(elIndexMap[faces0[0].elIndex], 
			  elIndexTypeMap[faces0[0].elIndex], 
			  FACE, faces0[0].ithObject);      
      BoundaryObject obj1(elIndexMap[faces1[0].elIndex], 
			  elIndexTypeMap[faces1[0].elIndex], 
			  FACE, faces1[0].ithObject);
      
      bool reverseMode = 
	BoundaryObject::computeReverseMode(obj0, obj1, feSpace, faceIt->second);
      
      faceReverseMode[make_pair(faces0[0], faces1[0])] = reverseMode;
      faceReverseMode[make_pair(faces1[0], faces0[0])] = reverseMode;
    }  
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  }


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  void ElementObjects::serialize(ostream &out)
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  {
    FUNCNAME("ElementObjects::serialize()");

    int nSize = vertexElements.size();
    SerUtil::serialize(out, nSize);
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    for (map<DegreeOfFreedom, vector<ElementObjectData> >::iterator it = vertexElements.begin();
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	 it != vertexElements.end(); ++it) {
      SerUtil::serialize(out, it->first);
      serialize(out, it->second);
    }

    nSize = edgeElements.size();
    SerUtil::serialize(out, nSize);
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    for (map<DofEdge, vector<ElementObjectData> >::iterator it = edgeElements.begin();
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	 it != edgeElements.end(); ++it) {
      SerUtil::serialize(out, it->first);
      serialize(out, it->second);
    }

    nSize = faceElements.size();
    SerUtil::serialize(out, nSize);
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    for (map<DofFace, vector<ElementObjectData> >::iterator it = faceElements.begin();
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	 it != faceElements.end(); ++it) {
      SerUtil::serialize(out, it->first);
      serialize(out, it->second);
    }


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    nSize = vertexLocalMap.size();
    SerUtil::serialize(out, nSize);
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    for (map<ElementObjectData, DegreeOfFreedom>::iterator it = vertexLocalMap.begin();
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	 it != vertexLocalMap.end(); ++it) {
      it->first.serialize(out);
      SerUtil::serialize(out, it->second);
    }

    nSize = edgeLocalMap.size();
    SerUtil::serialize(out, nSize);
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    for (map<ElementObjectData, DofEdge>::iterator it = edgeLocalMap.begin();
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	 it != edgeLocalMap.end(); ++it) {
      it->first.serialize(out);
      SerUtil::serialize(out, it->second);
    }

    nSize = faceLocalMap.size();
    SerUtil::serialize(out, nSize);
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    for (map<ElementObjectData, DofFace>::iterator it = faceLocalMap.begin();
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	 it != faceLocalMap.end(); ++it) {
      it->first.serialize(out);
      SerUtil::serialize(out, it->second);
    }



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    SerUtil::serialize(out, vertexOwner);
    SerUtil::serialize(out, edgeOwner);
    SerUtil::serialize(out, faceOwner);


    nSize = vertexInRank.size();
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    SerUtil::serialize(out, nSize);
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    for (map<DegreeOfFreedom, map<int, ElementObjectData> >::iterator it = vertexInRank.begin();
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	 it != vertexInRank.end(); ++it) {
      SerUtil::serialize(out, it->first);
      serialize(out, it->second);
    }

    nSize = edgeInRank.size();
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    SerUtil::serialize(out, nSize);
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    for (map<DofEdge, map<int, ElementObjectData> >::iterator it = edgeInRank.begin();
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	 it != edgeInRank.end(); ++it) {
      SerUtil::serialize(out, it->first);
      serialize(out, it->second);
    }

    nSize = faceInRank.size();
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    SerUtil::serialize(out, nSize);
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    for (map<DofFace, map<int, ElementObjectData> >::iterator it = faceInRank.begin();
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	 it != faceInRank.end(); ++it) {
      SerUtil::serialize(out, it->first);
      serialize(out, it->second);
    }

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    SerUtil::serialize(out, periodicVertices);
    SerUtil::serialize(out, periodicEdges);
    SerUtil::serialize(out, periodicFaces);
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    nSize = periodicDofAssoc.size();
    SerUtil::serialize(out, nSize);
    for (map<DegreeOfFreedom, std::set<BoundaryType> >::iterator it = periodicDofAssoc.begin();
	 it != periodicDofAssoc.end(); ++it) {
      SerUtil::serialize(out, it->first);
      SerUtil::serialize(out, it->second);
    }

    nSize = periodicEdgeAssoc.size();
    SerUtil::serialize(out, nSize);
    for (map<DofEdge, std::set<DofEdge> >::iterator it = periodicEdgeAssoc.begin();
	 it != periodicEdgeAssoc.end(); ++it) {
      SerUtil::serialize(out, it->first);
      SerUtil::serialize(out, it->second);
    }


    nSize = edgeReverseMode.size();
    SerUtil::serialize(out, nSize);
    for (map<pair<ElementObjectData, ElementObjectData>, bool>::iterator it = edgeReverseMode.begin();
	 it != edgeReverseMode.end(); ++it) {
      it->first.first.serialize(out);
      it->first.second.serialize(out);
      SerUtil::serialize(out, it->second);
    }

    nSize = faceReverseMode.size();
    SerUtil::serialize(out, nSize);
    for (map<pair<ElementObjectData, ElementObjectData>, bool>::iterator it = faceReverseMode.begin();
	 it != faceReverseMode.end(); ++it) {
      it->first.first.serialize(out);
      it->first.second.serialize(out);
      SerUtil::serialize(out, it->second);
    }
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  }


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  void ElementObjects::deserialize(istream &in)
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  {
    FUNCNAME("ElementObjects::deserialize()");

    int nSize;
    SerUtil::deserialize(in, nSize);
    vertexElements.clear();
    for (int i = 0; i < nSize; i++) {
      DegreeOfFreedom dof;
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      vector<ElementObjectData> data;
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      SerUtil::deserialize(in, dof);
      deserialize(in, data);
      vertexElements[dof] = data;
    }

    SerUtil::deserialize(in, nSize);
    edgeElements.clear();
    for (int i = 0; i < nSize; i++) {
      DofEdge edge;
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      vector<ElementObjectData> data;
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      SerUtil::deserialize(in, edge);
      deserialize(in, data);
      edgeElements[edge] = data;
    }

    SerUtil::deserialize(in, nSize);
    faceElements.clear();
    for (int i = 0; i < nSize; i++) {
      DofFace face;
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      vector<ElementObjectData> data;
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      SerUtil::deserialize(in, face);
      deserialize(in, data);
      faceElements[face] = data;
    }
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    SerUtil::deserialize(in, nSize);
    vertexLocalMap.clear();
    for (int i = 0; i < nSize; i++) {
      ElementObjectData data;
      DegreeOfFreedom dof;
      data.deserialize(in);
      SerUtil::deserialize(in, dof);
      vertexLocalMap[data] = dof;
    }

    SerUtil::deserialize(in, nSize);
    edgeLocalMap.clear();
    for (int i = 0; i < nSize; i++) {
      ElementObjectData data;
      DofEdge edge;
      data.deserialize(in);
      SerUtil::deserialize(in, edge);
      edgeLocalMap[data] = edge;
    }

    SerUtil::deserialize(in, nSize);
    faceLocalMap.clear();
    for (int i = 0; i < nSize; i++) {
      ElementObjectData data;
      DofFace face;
      data.deserialize(in);
      SerUtil::deserialize(in, face);
      faceLocalMap[data] = face;
    }


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    SerUtil::deserialize(in, vertexOwner);
    SerUtil::deserialize(in, edgeOwner);
    SerUtil::deserialize(in, faceOwner);


    SerUtil::deserialize(in, nSize);
    vertexInRank.clear();
    for (int i = 0; i < nSize; i++) {
      DegreeOfFreedom dof;
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      map<int, ElementObjectData> data;
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      SerUtil::deserialize(in, dof);
      deserialize(in, data);
      vertexInRank[dof] = data;
    }

    SerUtil::deserialize(in, nSize);
    edgeInRank.clear();
    for (int i = 0; i < nSize; i++) {
      DofEdge edge;
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      map<int, ElementObjectData> data;
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      SerUtil::deserialize(in, edge);
      deserialize(in, data);
      edgeInRank[edge] = data;
    }

    SerUtil::deserialize(in, nSize);
    faceInRank.clear();
    for (int i = 0; i < nSize; i++) {
      DofFace face;
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      map<int, ElementObjectData> data;
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      SerUtil::deserialize(in, face);
      deserialize(in, data);
      faceInRank[face] = data;
    }
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    SerUtil::deserialize(in, periodicVertices);
    SerUtil::deserialize(in, periodicEdges);
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    SerUtil::deserialize(in, periodicFaces);

    

    SerUtil::deserialize(in, nSize);
    periodicDofAssoc.clear();
    for (int i = 0; i < nSize; i++) {
      DegreeOfFreedom dof;
      std::set<DegreeOfFreedom> dofs;
      SerUtil::deserialize(in, dof);
      SerUtil::deserialize(in, dofs);
      periodicDofAssoc[dof] = dofs;
    }

    SerUtil::deserialize(in, nSize);
    periodicEdgeAssoc.clear();
    for (int i = 0; i < nSize; i++) {
      DofEdge edge;
      std::set<DofEdge> edges;
      SerUtil::deserialize(in, edge);
      SerUtil::deserialize(in, edges);
      periodicEdgeAssoc[edge] = edges;
    }



    SerUtil::deserialize(in, nSize);
    edgeReverseMode.clear();
    for (int i = 0; i < nSize; i++) {
      ElementObjectData obj0, obj1;
      bool reverseMode;
      obj0.deserialize(in);
      obj1.deserialize(in);
      SerUtil::deserialize(in, reverseMode);

      edgeReverseMode[make_pair(obj0, obj1)] = reverseMode;
    }

    SerUtil::deserialize(in, nSize);
    faceReverseMode.clear();
    for (int i = 0; i < nSize; i++) {
      ElementObjectData obj0, obj1;
      bool reverseMode;
      obj0.deserialize(in);
      obj1.deserialize(in);
      SerUtil::deserialize(in, reverseMode);

      faceReverseMode[make_pair(obj0, obj1)] = reverseMode;
    }
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  }


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  void ElementObjects::serialize(ostream &out, vector<ElementObjectData>& elVec)
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  {
    int nSize = elVec.size();
    SerUtil::serialize(out, nSize);
    for (int i = 0; i < nSize; i++)
      elVec[i].serialize(out);
  }


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  void ElementObjects::deserialize(istream &in, vector<ElementObjectData>& elVec)
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  {
    int nSize;
    SerUtil::deserialize(in, nSize);
    elVec.resize(nSize);
    for (int i = 0; i < nSize; i++)
      elVec[i].deserialize(in);
  }

  
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  void ElementObjects::serialize(ostream &out, map<int, ElementObjectData>& data)
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  {
    int nSize = data.size();
    SerUtil::serialize(out, nSize);
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    for (map<int, ElementObjectData>::iterator it = data.begin();
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	 it != data.end(); ++it) {
      SerUtil::serialize(out, it->first);
      it->second.serialize(out);
    }
  }

  
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  void ElementObjects::deserialize(istream &in, map<int, ElementObjectData>& data)
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  {
    int nSize;
    SerUtil::deserialize(in, nSize);
    for (int i = 0; i < nSize; i++) {
      int index;
      ElementObjectData elObj;
      SerUtil::deserialize(in, index);
      elObj.deserialize(in);

      data[index] = elObj;
    }
  }

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}