MacroReader.cc 45.3 KB
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/******************************************************************************
 *
 * AMDiS - Adaptive multidimensional simulations
 *
 * Copyright (C) 2013 Dresden University of Technology. All Rights Reserved.
 * Web: https://fusionforge.zih.tu-dresden.de/projects/amdis
 *
 * Authors: 
 * Simon Vey, Thomas Witkowski, Andreas Naumann, Simon Praetorius, et al.
 *
 * This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
 * WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
 *
 *
 * This file is part of AMDiS
 *
 * See also license.opensource.txt in the distribution.
 * 
 ******************************************************************************/
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#include <string.h>
#include <map>
#include <iostream>
#include <fstream>
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#include "MacroReader.h"
#include "MacroWriter.h"
#include "MacroElement.h"
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#include "MacroInfo.h"
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#include "Boundary.h"
#include "FiniteElemSpace.h"
#include "Mesh.h"
#include "FixVec.h"
#include "ElInfo.h"
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#include "Initfile.h"
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#include "DOFIterator.h"
#include "LeafData.h"
#include "VertexVector.h"

namespace AMDiS {

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  MacroInfo* MacroReader::readMacro(std::string filename, 
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				    Mesh* mesh,
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				    std::string periodicFile,
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				    int check)
  {
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    FUNCNAME("MacroReader::readMacro()");
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    TEST_EXIT(filename != "")("no file specified; filename nullptr\n");  
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    MacroInfo *macroInfo = new MacroInfo();
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    macroInfo->readAMDiSMacro(filename, mesh);

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    std::deque<MacroElement*>::iterator mel = macroInfo->mel.begin();
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    int **melVertex = macroInfo->mel_vertex;
    WorldVector<double> *coords = macroInfo->coords;
    DegreeOfFreedom **dof = macroInfo->dof;
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    // === read periodic data =================================
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    if (periodicFile != "") {   
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      FILE *file = fopen(periodicFile.c_str(), "r");
      TEST_EXIT(file)("can't open file %s\n", periodicFile.c_str());
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      int n;
      int dim = mesh->getDim();

      int el1, el2;
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      int *verticesEl1 = new int[dim];
      int *verticesEl2 = new int[dim];
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      int mode = -1; // 0: drop dofs, 1: associate dofs
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      int result = 0;
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      BoundaryType boundaryType;
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      MacroReader::PeriodicMap periodicMap;
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      result = fscanf(file, "%*s %d", &n);
      result = fscanf(file, "%*s %*s %*s %*s %*s %*s %*s %*s %*s %*s %*s");
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      for (int i = 0; i < n; i++) {
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	std::map<int, int> vertexMapEl1;
	std::map<int, int> vertexMapEl2;
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	result = fscanf(file, "%d", &mode);
	TEST_EXIT(result == 1)("mode?\n");
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	result = fscanf(file, "%d", &boundaryType);
	TEST_EXIT(result == 1)("boundaryType?\n");
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	result = fscanf(file, "%d", &el1);
	TEST_EXIT(result == 1)("el1?\n");

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	for (int j = 0; j < dim; j++) {
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	  result = fscanf(file, "%d", &verticesEl1[j]);
	  TEST_EXIT(result == 1)("vertEl1[%d]\n", j);
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	}
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	result = fscanf(file, "%d", &el2);
	TEST_EXIT(result == 1)("el2?\n");
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	for (int j = 0; j < dim; j++) {
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	  result = fscanf(file, "%d", &verticesEl2[j]);
	  TEST_EXIT(result == 1)("vertEl2[%d]\n", j);
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	}
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	for (int j = 0; j < dim; j++) {
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	  if (mode == 0)
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	    periodicMap.setEntry(melVertex[el1][verticesEl1[j]], 
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				 melVertex[el2][verticesEl2[j]]);	  
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	  vertexMapEl1[verticesEl1[j]] = verticesEl2[j];
	  vertexMapEl2[verticesEl2[j]] = verticesEl1[j];
	}

	// calculate sides of periodic vertices
	int sideEl1 = 0, sideEl2 = 0;
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	if (dim == 1) {
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	  sideEl1 = verticesEl1[0];
	  sideEl2 = verticesEl2[0];
	} else {
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	  for (int j = 0; j < dim + 1; j++) {
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	    sideEl1 += j;
	    sideEl2 += j;
	  }
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	  for (int j = 0; j < dim; j++) {
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	    sideEl1 -= verticesEl1[j];
	    sideEl2 -= verticesEl2[j];
	  }
	}
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	// create periodic info
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	DimVec<WorldVector<double> > periodicCoordsEl1(dim - 1, NO_INIT);
	DimVec<WorldVector<double> > periodicCoordsEl2(dim - 1, NO_INIT);
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	Element *element1 = const_cast<Element*>((*(mel + el1))->getElement());
	Element *element2 = const_cast<Element*>((*(mel + el2))->getElement());
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	// for all vertices of this side
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	for (int j = 0; j < dim; j++) {
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	  periodicCoordsEl1[element1->getPositionOfVertex(sideEl1, verticesEl1[j])] = 
	    coords[melVertex[el2][vertexMapEl1[verticesEl1[j]]]];
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	  periodicCoordsEl2[element2->getPositionOfVertex(sideEl2, verticesEl2[j])] =
	    coords[melVertex[el1][vertexMapEl2[verticesEl2[j]]]];
	}
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	// decorate leaf data
	ElementData *ld1 = element1->getElementData();
	ElementData *ld2 = element2->getElementData();

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	TEST_EXIT_DBG(ld1)
	  ("Should not happen: no element data pointer in macro element %d!\n",
	   element1->getIndex());

	TEST_EXIT_DBG(ld2)
	  ("Should not happen: no element data pointer in macro element %d!\n",
	   element2->getIndex());

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	LeafDataPeriodic *ldp1 = 
	  dynamic_cast<LeafDataPeriodic*>(ld1->getElementData(PERIODIC));
	LeafDataPeriodic *ldp2 = 
	  dynamic_cast<LeafDataPeriodic*>(ld2->getElementData(PERIODIC));
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	if (!ldp1) {
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	  ldp1 = new LeafDataPeriodic(ld1);
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	  element1->setElementData(ldp1);
	}

	if (!ldp2) {
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	  ldp2 = new LeafDataPeriodic(ld2);
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	  element2->setElementData(ldp2);
	}

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	ldp1->addPeriodicInfo(mode, boundaryType, sideEl1, &periodicCoordsEl1);
	ldp2->addPeriodicInfo(mode, boundaryType, sideEl2, &periodicCoordsEl2);
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	if (mode != 0) {
	  VertexVector *associated = mesh->periodicAssociations[boundaryType];
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	  if (!associated) {
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	    associated = new VertexVector(mesh->getVertexAdmin(), "vertex vector");
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	    mesh->periodicAssociations[boundaryType] = associated;
	    VertexVector::Iterator it(associated, ALL_DOFS);
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	    for (it.reset2(); !it.end(); ++it)
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	      *it = it.getDOFIndex();
	  }

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	  for (int j = 0; j < dim; j++) {
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	    (*associated)[melVertex[el1][verticesEl1[j]]] =
	      melVertex[el2][vertexMapEl1[verticesEl1[j]]];
	    (*associated)[melVertex[el2][verticesEl2[j]]] =
	      melVertex[el1][vertexMapEl2[verticesEl2[j]]];
	  }
	}
      }    

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      delete [] verticesEl1;
      delete [] verticesEl2;
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      // change periodic vertex dofs
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      for (int i = 0; i < mesh->getNumberOfVertices(); i++) {
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	if (periodicMap.getEntry(i) != -1) {
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	  mesh->freeDof(dof[i], VERTEX);
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	  dof[i] = dof[periodicMap.getEntry(i)];

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	  std::map<BoundaryType, VertexVector*>::iterator assoc;
	  std::map<BoundaryType, VertexVector*>::iterator assocEnd =
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	    mesh->periodicAssociations.end();
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	  for (assoc = mesh->periodicAssociations.begin(); assoc != assocEnd; ++assoc) {
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	    DegreeOfFreedom a = (*(assoc->second))[i];
	    if (a != i) {
	      (*(assoc->second))[i] = i;
	      (*(assoc->second))[a] = periodicMap.getEntry(i);
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	    }
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	  }

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	}
      }

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#if (DEBUG != 0)
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      std::map<BoundaryType, VertexVector*>::iterator assoc;
      std::map<BoundaryType, VertexVector*>::iterator assocEnd =
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	mesh->periodicAssociations.end();
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      for (assoc = mesh->periodicAssociations.begin(); 
	   assoc != assocEnd; ++assoc)
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	for (int i = 0; i < mesh->getNumberOfVertices(); i++)
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	  if (i != (*(assoc->second))[i])
	    MSG("association %d: vertex %d -> vertex %d\n", 
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		assoc->first, i, (*(assoc->second))[i]);
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      for (int i = 0; i < mesh->getNumberOfVertices(); i++)
	if (periodicMap.getEntry(i) != -1)
	  MSG("identification : vertex %d is now vertex %d\n", 
	      i, periodicMap.getEntry(i));
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#endif
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    } // periodicFile

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    // =========================================================

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    for (int i = 0; i < mesh->getNumberOfMacros(); i++) {
      for (int k = 0; k < mesh->getGeo(VERTEX); k++) {
	(*(mel + i))->setCoord(k, coords[melVertex[i][k]]);
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	const_cast<Element*>((*(mel + i))->getElement())->
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	  setDof(k, dof[melVertex[i][k]]);
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      }
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    }
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    if (!macroInfo->neigh_set) {
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      TEST_EXIT(periodicFile == "")
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	("periodic boundary condition => element neighbours must be set\n");
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      computeNeighbours(mesh);
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    } else {
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      /****************************************************************************/
      /* fill MEL oppVertex values when reading neighbour information form file  */
      /****************************************************************************/
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      for (int i = 0; i < mesh->getNumberOfMacros(); i++) {
	for (int k = 0; k < mesh->getGeo(NEIGH); k++) {
	  MacroElement *neigh = const_cast<MacroElement*>(mel[i]->getNeighbour(k));

	  if (neigh) {
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	    int j = 0;
	    for (; j < mesh->getGeo(NEIGH); j++)
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	      if (neigh->getNeighbour(j) == *(mel + i))  
		break;
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	    TEST_EXIT(j < mesh->getGeo(NEIGH))("el %d no neighbour of neighbour %d\n", 
					       mel[i]->getIndex(), neigh->getIndex());
	    mel[i]->setOppVertex(k, j);
	  } else {
	    mel[i]->setOppVertex(k, -1);
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	  }
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	}
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      }
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    }
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    if (!macroInfo->bound_set)
      macroInfo->dirichletBoundary();    
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    if (mesh->getDim() > 1)
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      boundaryDOFs(mesh);

    // initial boundary projections
    int numFaces = mesh->getGeo(FACE);
    int dim = mesh->getDim();
    mel = mesh->firstMacroElement();
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    for (int i = 0; i < mesh->getNumberOfLeaves(); i++) {
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      MacroElement *macroEl = *(mel + i);
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      Projection *projector = macroEl->getProjection(0);
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      if (projector && projector->getType() == VOLUME_PROJECTION) {
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	for (int j = 0; j <= dim; j++)
	  projector->project(macroEl->getCoord(j));	
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      } else {
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	for (int j = 0; j < mesh->getGeo(EDGE); j++) {
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	  projector = macroEl->getProjection(numFaces + j);
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	  if (projector) {
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	    int vertex0 = Global::getReferenceElement(dim)->getVertexOfEdge(j, 0);
	    int vertex1 = Global::getReferenceElement(dim)->getVertexOfEdge(j, 1);
	    projector->project(macroEl->getCoord(vertex0));
	    projector->project(macroEl->getCoord(vertex1));
	  }
	}
      }
    }

    macroInfo->fillBoundaryInfo(mesh);

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    if (mesh->getNumberOfDofs(CENTER)) {
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      for (int i = 0; i < mesh->getNumberOfMacros(); i++)
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	const_cast<Element*>(mel[i]->getElement())->
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	  setDof(mesh->getNode(CENTER), mesh->getDof(CENTER));
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    }

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    // === Domain size ===
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    WorldVector<double> x_min, x_max;
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    for (int j = 0; j < Global::getGeo(WORLD); j++) {
      x_min[j] =  1.E30;
      x_max[j] = -1.E30;
    }

    for (int i = 0; i < mesh->getNumberOfVertices(); i++) {
      for (int j = 0; j < Global::getGeo(WORLD); j++) {
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	x_min[j] = std::min(x_min[j], coords[i][j]);
	x_max[j] = std::max(x_max[j], coords[i][j]);
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      }
    }
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    for (int j = 0; j < Global::getGeo(WORLD); j++)
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      mesh->setDiameter(j, x_max[j] - x_min[j]);

    if (check) {
      checkMesh(mesh);

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      if (mesh->getDim() > 1)
	macroTest(mesh);
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    }

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    return macroInfo;
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  }


  void MacroReader::computeNeighbours(Mesh *mesh)
  {
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    FUNCNAME("MacroReader::computeNeighbours()");
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    int dim = mesh->getDim();
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    FixVec<DegreeOfFreedom*, DIMEN> dof(dim, NO_INIT);
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    for (int i = 0; i < mesh->getNumberOfLeaves(); i++) {
      for (int k = 0; k < mesh->getGeo(NEIGH); k++) {
	mesh->getMacroElement(i)->setOppVertex(k, AMDIS_UNDEFINED);
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	mesh->getMacroElement(i)->setNeighbour(k, nullptr);
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      }
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    }
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    for (int i = 0; i < mesh->getNumberOfLeaves(); i++) {
      for (int k = 0; k < mesh->getGeo(NEIGH); k++) {
	if (mesh->getMacroElement(i)->getBoundary(k) != INTERIOR) {
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	  mesh->getMacroElement(i)->setNeighbour(k, nullptr);
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	  mesh->getMacroElement(i)->setOppVertex(k, -1);
	  continue;
	}
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	if (mesh->getMacroElement(i)->getOppVertex(k) == AMDIS_UNDEFINED) {
	  if (dim == 1) {
	    dof[0] = const_cast<DegreeOfFreedom*>(mesh->getMacroElement(i)->
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						  getElement()->getDof(k));
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	  } else {
	    for (int l = 0; l < dim; l++)
	      dof[l] = const_cast<DegreeOfFreedom*>(mesh->getMacroElement(i)->
						    getElement()->
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						    getDof((k + l + 1) % (dim + 1)));
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	  }
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	  int j = 0;
	  for (j = i + 1; j < mesh->getNumberOfLeaves(); j++) {
	    int m = mesh->getMacroElement(j)->getElement()->oppVertex(dof);
	    if (m != -1) {
	      mesh->getMacroElement(i)->setNeighbour(k, mesh->getMacroElement(j));
	      mesh->getMacroElement(j)->setNeighbour(m, mesh->getMacroElement(i));
	      mesh->getMacroElement(i)->setOppVertex(k, m);
	      mesh->getMacroElement(j)->setOppVertex(m, k);
	      break;
	    }
	  }

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	  if (j >= mesh->getNumberOfLeaves()) {
	    std::cout << "----------- ERROR ------------" << std::endl;
	    std::cout << "Cannot find neighbour " << k << " of element " << i << std::endl;
	    std::cout << "  dim = " << dim << std::endl;
	    std::cout << "  coords of element = ";
	    for (int l = 0; l <= dim; l++) {
	      std::cout << mesh->getMacroElement(i)->getCoord(l);
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	      if (l < dim)
		std::cout << " / ";	      
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	    }
	    std::cout << std::endl;
	    std::cout << "  dofs = ";
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	    for (int l = 0; l < dim; l++)
	      std::cout << *(dof[l]) << " ";	    
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	    std::cout << std::endl;

	    ERROR_EXIT("\n");
	  }    
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	}
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      }
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    }
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  }


  /****************************************************************************/
  /*  boundaryDOFs:                                                           */
  /*  adds dof's at the edges of a given macro triangulation and calculates   */
  /*  the number of edges                                                     */
  /****************************************************************************/

  void MacroReader::boundaryDOFs(Mesh *mesh)
  {
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    FUNCNAME("Mesh::boundaryDOFs()");

    int lnode = mesh->getNode(EDGE);
    int k, lne = mesh->getNumberOfLeaves();
    int max_n_neigh = 0, n_neigh, ov;
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    std::deque<MacroElement*>::iterator mel;
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    const MacroElement* neigh;
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    DegreeOfFreedom *dof;
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    mesh->setNumberOfEdges(0);
    mesh->setNumberOfFaces(0);

    int dim = mesh->getDim();

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    switch (dim) {
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    case 2:
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      for (mel = mesh->firstMacroElement(); mel != mesh->endOfMacroElements(); mel++) {
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	// check for periodic boundary
	Element *el = const_cast<Element*>((*mel)->getElement());
	ElementData *ed = el->getElementData(PERIODIC);

	DimVec<bool> periodic(dim, DEFAULT_VALUE, false);

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	if (ed) {
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	  std::list<LeafDataPeriodic::PeriodicInfo> &periodicInfos = 
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	    dynamic_cast<LeafDataPeriodic*>(ed)->getInfoList();
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	  std::list<LeafDataPeriodic::PeriodicInfo>::iterator it;
	  std::list<LeafDataPeriodic::PeriodicInfo>::iterator end = periodicInfos.end();
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	  for (it = periodicInfos.begin(); it != end; ++it)
	    if (it->type != 0)
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	      periodic[it->elementSide] = true;
	}

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	for (int i = 0; i < mesh->getGeo(NEIGH); i++) {
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	  if (!(*mel)->getNeighbour(i) || 
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	      ((*mel)->getNeighbour(i)->getIndex() < (*mel)->getIndex())) {

	    mesh->incrementNumberOfEdges(1);

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	    if (mesh->getNumberOfDofs(EDGE)) {
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	      dof = mesh->getDof(EDGE);
	      el->setDof(lnode + i, dof);
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	      if ((*mel)->getNeighbour(i)) {
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		Element *neigh = 
		  const_cast<Element*>((*mel)->getNeighbour(i)->getElement());
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		if (periodic[i])
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		  neigh->setDof(lnode + (*mel)->getOppVertex(i), mesh->getDof(EDGE));
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		else
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		  neigh->setDof(lnode + (*mel)->getOppVertex(i), dof);		
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	      }
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	    }
	  }  
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	}
      }
      break;
    case 3:
      lnode = mesh->getNode(FACE);
      mel = mesh->firstMacroElement();
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      for (int i = 0; i < lne; i++) {
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	// check for periodic boundary
	Element *el = const_cast<Element*>((*(mel+i))->getElement());
	ElementData *ed = el->getElementData(PERIODIC);

	DimVec<bool> periodic(dim, DEFAULT_VALUE, false);
      
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	if (ed) {
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	  std::list<LeafDataPeriodic::PeriodicInfo> &periodicInfos = 
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	    dynamic_cast<LeafDataPeriodic*>(ed)->getInfoList();
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	  std::list<LeafDataPeriodic::PeriodicInfo>::iterator it;
	  std::list<LeafDataPeriodic::PeriodicInfo>::iterator end = periodicInfos.end();
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	  for (it = periodicInfos.begin(); it != end; ++it)
	    if (it->type != 0)
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	      periodic[it->elementSide] = true;
	}

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	for (k = 0; k < mesh->getGeo(EDGE); k++) {
	  // === Check for not counted edges. ===
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	  n_neigh = 1;

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	  if (newEdge(mesh, (*(mel + i)), k, &n_neigh)) {
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	    mesh->incrementNumberOfEdges(1);
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	    max_n_neigh = std::max(max_n_neigh, n_neigh);
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	  }
	}
      
	for (k = 0; k < mesh->getGeo(NEIGH); k++) {
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	  neigh = (*(mel + i))->getNeighbour(k);
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	  // === Face is counted and dof is added by the element with bigger index. ===
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	  if (neigh && (neigh->getIndex() > (*(mel + i))->getIndex()))  
	    continue;
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	  mesh->incrementNumberOfFaces(1);
	
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	  if (mesh->getNumberOfDofs(FACE)) {
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	    TEST_EXIT(!(*(mel + i))->getElement()->getDof(lnode + k))
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	      ("dof %d on element %d already set\n", 
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	       lnode + k, (*(mel + i))->getIndex());
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	    const_cast<Element*>((*(mel + i))->getElement())->setDof(lnode + k,
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								     mesh->getDof(FACE));
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	    if (neigh) {
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	      ov = (*(mel + i))->getOppVertex(k);
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	      TEST_EXIT(!neigh->getElement()->getDof(lnode + ov))
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		("dof %d on neighbour %d already set\n", 
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		 lnode + ov, neigh->getIndex());
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	      Element *neighEl = 
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		const_cast<Element*>((*(mel + i))->getNeighbour(k)->getElement());
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	      if (periodic[k])
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		neighEl->setDof(lnode+ov, mesh->getDof(FACE));
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	      else
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		neighEl->setDof(lnode+ov, const_cast<DegreeOfFreedom*>((*(mel + i))->getElement()->
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							   getDof(lnode + k)));	      
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	    }
	  }
	}
      }
      break;
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    default: 
      ERROR_EXIT("invalid dim\n");
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    }
    
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    if (3 == dim)
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      mesh->setMaxEdgeNeigh(std::max(8, 2 * max_n_neigh));
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    else
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      mesh->setMaxEdgeNeigh(dim - 1);    
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  }

  /* 
     testet mesh auf auftretende Zyklen
  
     wenn Zyklus auftritt:
     ordnet Eintraege in MacroElement-Struktur um, so dass kein Zyklus auftritt
     erzeugt neue Macro-Datei nameneu mit umgeordnetem Netz 
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     (wenn nameneu=nullptr wird keine MAcro-Datei erzeugt)
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  */      

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  void MacroReader::macroTest(Mesh *mesh)
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  {
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    FUNCNAME("MacroReader::macroTest()");
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    int i = macrotest(mesh);

    if (i >= 0) {
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      WARNING("There is a cycle beginning in macro element %d\n", i);
      WARNING("Entries in MacroElement structures get reordered\n");
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      umb(nullptr, mesh, umbVkantMacro);
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    }
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  }
  
  /****************************************************************************/
  /*  macro_test():                              Author: Thomas Kastl (1998)  */
  /****************************************************************************/
  /*
    testet mesh auf auftretende Zyklen
  
    wenn mesh zyklenfrei -> -1
    sonst ->  globaler Index des Macroelementes bei dem ein Zyklus beginnt 
  */

  int MacroReader::macrotest(Mesh *mesh)
  {
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    std::deque<MacroElement*>::const_iterator macro, mac;
    int flg = 0;
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    int dim = mesh->getDim();
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    int *test = new int[mesh->getNumberOfMacros()];
    int *zykl = new int[mesh->getNumberOfMacros()];
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    for (int i = 0; i < mesh->getNumberOfMacros(); i++)
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      test[i] = 0;
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    int zykstart = -1;
    std::deque<MacroElement*>::const_iterator macrolfd = mesh->firstMacroElement();
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    while (macrolfd != mesh->endOfMacroElements()) {
      if (test[(*macrolfd)->getIndex()] == 1) {
	macrolfd++;
      } else {
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	for (int i = 0; i < mesh->getNumberOfMacros(); i++)
	  zykl[i] = 0;	
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	macro = macrolfd;
	flg = 2;
	do {
	  if (zykl[(*macro)->getIndex()] == 1) {
	    flg = 0;
	    zykstart = (*macro)->getIndex();
	  } else {
	    zykl[(*macro)->getIndex()] = 1;
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	    if (test[(*macro)->getIndex()] == 1) {
	      flg = 1;
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	    } else if ((*macro)->getNeighbour(dim) == nullptr) {
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	      flg = 1;
	      test[(*macro)->getIndex()] = 1;
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	    } else if ((*macro) == (*macro)->getNeighbour(dim)->getNeighbour(dim)) {
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	      flg = 1;
	      test[(*macro)->getIndex()] = 1;
	      test[(*macro)->getNeighbour(dim)->getIndex()] = 1;
	    } else {
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	      for (mac = mesh->firstMacroElement(); 
		   (*mac) != (*macro)->getNeighbour(dim); mac++);
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	      macro = mac;
	    } 
	  }	  
	} while(flg == 2);
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	if (flg == 1)
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	  macrolfd++;
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	else 
	  macrolfd=mesh->endOfMacroElements();	
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      }
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    }
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    delete [] zykl;
    delete [] test;
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    return zykstart;
  }

  //   waehlt geeignete Verfeinerungskanten, so dass kein Zyklus auftritt (recumb)

  //   ele     Integer-Vektor der Dimension Anzahl der Macro-Elemente
  //           zur Speicherung der neuen Verfeinerungskanten
  //           (wird nur benoetigt, wenn umbvk=umb_vkant_macrodat) 
  
  //   umbvk   Fkt. zur Neuordnung der Verfeinerungskanten
  //           = umb_vkant_macro :
  //               Eintraege in MacroElement-Struktur und Eintraege in macro->el
  //               werden tatsaechlich umgeordnet
  //               -> ALBERT-Routine write_macro kann zum erzeugen einer
  //                  neuen Macro-Datei angewendet werden 
  //           = umb_vkant_macrodat :
  //               Eintraege werden nicht veraendert, es werden nur die lokalen
  //               Indices der Kanten, die zu Verfeinerungskanten werden im
  //               Integer-Vektor ele abgespeichert
  //               -> print_Macrodat zur Erzeugung einer zyklenfreien neuen
  //                  Macro-Datei kann angewendet werden

  void MacroReader::umb(int *ele, Mesh *mesh,
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			void (*umbvk)(Mesh*, MacroElement*, int, int*))
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  {
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    int *test = new int[mesh->getNumberOfMacros()];
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    for (int i = 0; i < static_cast<int>(mesh->getNumberOfMacros()); i++)
      test[i] = 0;
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    recumb(mesh, (*mesh->firstMacroElement()), nullptr, test, 0, 0, ele, umbvk);
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    delete [] test;
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  }

  bool MacroReader::newEdge(Mesh *mesh, MacroElement *mel,
			    int mel_edge_no, int *n_neigh)
  {
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    FUNCNAME("MacroElement::newEdge()"); 
    MacroElement *nei;
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    const DegreeOfFreedom *dof[2];
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    DegreeOfFreedom *edge_dof = nullptr;
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    int j, k, opp_v, node = 0;
    BoundaryType lbound = INTERIOR;
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    Projection *lproject = nullptr;
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    const int max_no_list_el = 100;
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    BoundaryType *list_bound[100];
    Projection **list_project[100];
    Element *el = const_cast<Element*>(mel->getElement());
    int edge_no = mel_edge_no;
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    static int next_el[6][2] = {{3,2},{1,3},{1,2},{0,3},{0,2},{0,1}};
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    int vertices = mesh->getGeo(VERTEX);

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    int mel_index = mel->getIndex();
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    list_bound[0] = &(mel->boundary[mesh->getGeo(FACE)+edge_no]);
    list_project[0] = &(mel->projection[mesh->getGeo(FACE)+edge_no]);

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    if (mesh->getNumberOfDofs(EDGE)) {
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      node = mesh->getNode(EDGE);
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      if (el->getDof(node+edge_no)) {
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	/****************************************************************************/
	/*  edge was counted by another macro element and dof was added on the      */
	/*  complete patch                                                          */
	/****************************************************************************/
	return false;
      } else {
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	edge_dof = mesh->getDof(EDGE);
	el->setDof(node+edge_no, edge_dof);
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      }
    }

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    for (j = 0; j < 2; j++)
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      dof[j] = el->getDof(el->getVertexOfEdge(edge_no, j));
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    /****************************************************************************/
    /*  first look for all neighbours in one direction until a boundary is      */
    /*  reached :-( or we are back to mel :-)                                   */
    /*  if the index of a neighbour is smaller than the element index, the edge */
    /*  is counted by this neighbour, return 0.                                 */
    /*  If we are back to element, return 1, to count the edge                  */
    /****************************************************************************/

    nei = mel->getNeighbour(next_el[edge_no][0]);
    opp_v = mel->getOppVertex(next_el[edge_no][0]);


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    if (mel->getBoundary(next_el[edge_no][0])) {
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      lbound = newBound(mel->getBoundary(next_el[edge_no][0]), lbound);
      lproject = mel->getProjection(next_el[edge_no][0]);
    }

    while (nei  &&  nei != mel) {
      for (j = 0; j < vertices; j++)
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	if (nei->getElement()->getDof(j) == dof[0])  break;
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      for (k = 0; k < vertices; k++)
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	if (nei->getElement()->getDof(k) == dof[1])  break;
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      // check for periodic boundary
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      if (j == 4 || k == 4) {
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	nei = nullptr;
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	break;
      }

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      if (mesh->getNumberOfDofs(EDGE)) {
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	TEST_EXIT(nei->index > mel_index)
	  ("neighbour index %d < element index %d\n", nei->getIndex(), mel_index);
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      }
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      if (!mesh->getNumberOfDofs(EDGE) && nei->getIndex() < mel_index) 
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	return false;
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      edge_no = Tetrahedron::edgeOfDofs[j][k];
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      TEST_EXIT(*n_neigh < max_no_list_el)
	("too many neigbours for local list\n");

      list_bound[(*n_neigh)] = 
	&(nei->boundary[mesh->getGeo(FACE)+edge_no]);

      list_project[(*n_neigh)++] = 
	&(nei->projection[mesh->getGeo(FACE)+edge_no]);

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      if (mesh->getNumberOfDofs(EDGE))
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	nei->element->setDof(node+edge_no,edge_dof);      
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      if (next_el[edge_no][0] != opp_v) {
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	if (nei->getBoundary(next_el[edge_no][0])) {
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	  lbound = newBound(nei->getBoundary(next_el[edge_no][0]), lbound);
	  Projection *neiProject = nei->getProjection(next_el[edge_no][0]);
	  if (!lproject) {
	    lproject = neiProject;
	  } else {
	    if (neiProject && (lproject->getID() < neiProject->getID()))
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	      lproject = neiProject;
	  }
	}
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	opp_v = nei->getOppVertex(next_el[edge_no][0]);
	nei = nei->getNeighbour(next_el[edge_no][0]);
      } else {
	if (nei->getBoundary(next_el[edge_no][1])) {
	  lbound = newBound(nei->getBoundary(next_el[edge_no][1]), lbound);
	  Projection *neiProject = nei->getProjection(next_el[edge_no][1]);	
	  if (!lproject) {
	    lproject = neiProject;
	  } else {
	    if (neiProject && (lproject->getID() < neiProject->getID()))
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	      lproject = neiProject;
	  }
	}
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	opp_v = nei->getOppVertex(next_el[edge_no][1]);
	nei = nei->getNeighbour(next_el[edge_no][1]);
      }
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    }

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    if (!nei) {
      /****************************************************************************/
      /*  while looping around the edge the domain's boundary was reached. Now,   */
      /*  loop in the other direction to the domain's boundary		    */
      /****************************************************************************/
      edge_no = mel_edge_no;
      
      nei = mel->getNeighbour(next_el[edge_no][1]);
      opp_v = mel->getOppVertex(next_el[edge_no][1]);
      if (mel->getBoundary(next_el[edge_no][1])) {
	lbound = newBound(mel->getBoundary(next_el[edge_no][1]), lbound); 
	Projection *neiProject =  mel->getProjection(next_el[edge_no][1]);
	if (!lproject) {
	  lproject = neiProject;
	} else {
	  if (neiProject && (lproject->getID() < neiProject->getID()))
	    lproject = neiProject;	  
	}
      }
      
      while (nei) {
	for (j = 0; j < vertices; j++)
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	  if (nei->getElement()->getDof(j) == dof[0])  break;
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	for (k = 0; k < vertices; k++)
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	  if (nei->getElement()->getDof(k) == dof[1])  break;
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	// check for periodic boundary
	if (j == 4 || k == 4)
	  return false;
	
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	if (mesh->getNumberOfDofs(EDGE)) {
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	  TEST_EXIT(nei->getIndex() > mel_index)
	    ("neighbour index %d < element index %d\n", nei->getIndex(),
	     mel_index);
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	}
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	if (nei->getIndex() < mel_index)  
	  return false;
	
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	edge_no = Tetrahedron::edgeOfDofs[j][k];
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	TEST_EXIT(*n_neigh < max_no_list_el)("too many neigbours for local list\n");
	
	list_bound[(*n_neigh)] = &(nei->boundary[mesh->getGeo(FACE) + edge_no]);
	list_project[(*n_neigh)++] = &(nei->projection[mesh->getGeo(FACE) + edge_no]);
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	if (mesh->getNumberOfDofs(EDGE)) {
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	  TEST_EXIT(!nei->getElement()->getDof(node+edge_no))
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	    ("dof %d on element %d is already set, but not on element %d\n",
	     node + edge_no, nei->getIndex(), mel_index);
	  
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	  nei->element->setDof(node+edge_no, edge_dof);
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	}
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	if (next_el[edge_no][0] != opp_v) {
	  if (nei->getBoundary(next_el[edge_no][0])) {
	    lbound = newBound(nei->getBoundary(next_el[edge_no][0]), lbound);
	    Projection *neiProject = nei->getProjection(next_el[edge_no][0]);
	    if (!lproject) {
	      lproject = neiProject;
	    } else {
	      if (neiProject &&( lproject->getID() < neiProject->getID()))
		lproject = neiProject;	      
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	    }
	  }
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	  opp_v = nei->getOppVertex(next_el[edge_no][0]);
	  nei = nei->getNeighbour(next_el[edge_no][0]);
	} else {
	  if (nei->getBoundary(next_el[edge_no][1])) {
	    lbound = newBound(nei->getBoundary(next_el[edge_no][1]), lbound); 
	    Projection *neiProject = nei->getProjection(next_el[edge_no][1]);
	    if (!lproject) {
	      lproject = neiProject;
	    } else {
	      if (neiProject && (lproject->getID() < neiProject->getID()))
		lproject = neiProject;	      
	    }
	  }
	  
	  opp_v = nei->getOppVertex(next_el[edge_no][1]);
	  nei = nei->getNeighbour(next_el[edge_no][1]);
	}
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      }
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    }
    
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    for (j = 0; j < *n_neigh; j++) {
      *(list_bound[j]) = lbound;
      *(list_project[j]) = lproject;
    }
  
    return true;
  }

  void MacroReader::fillMelBoundary(Mesh *mesh, MacroElement *mel, 
				    FixVec<BoundaryType ,NEIGH> ind)
  {
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    for (int i = 0; i < mesh->getGeo(NEIGH); i++)
      mel->boundary[i] = ind[i];        
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  }


  void MacroReader::fillMelNeigh(MacroElement *mel,
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				 std::deque<MacroElement*>& macro_elements, 
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				 FixVec<int,NEIGH> ind)
  {
    int dim = mel->element->getMesh()->getDim();

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    for (int k = 0; k < Global::getGeo(NEIGH, dim); k++) {
      if (ind[k] >= 0) 
	mel->neighbour[k] = macro_elements[ind[k]];
      else
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	mel->neighbour[k] = nullptr;
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    }
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  }


  //   ordnet Eintraege in Macro-Element macro bzgl. Verfeinerungskante ka um
  //   (coord, bound, boundary, neigh, oppVertex)

  //   ordnet Eintraege in macro->el bzgl. Verfeinerungskante ka um
  //   (Element-DOF's (macro->el->dof) in Ecken und auf Kanten,
  //    wenn NEIGH_IN_EL macro->el->neigh, macro->el->oppVertex)
  //   (wird fuer ALBERT-Routine write_macro benoetigt)

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  //   ele wird nicht benoetigt (es kann nullptr uebergeben werden)    
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  void MacroReader::umbVkantMacro(Mesh *mesh, MacroElement* me, int ka, int *)
  {
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    MacroElement* macr=new MacroElement(mesh->getDim());
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    int i;
    int n0;
    DegreeOfFreedom *d[7];
  
    int vertices = mesh->getGeo(VERTEX);
    int facesPlusEdges = mesh->getGeo(EDGE) + mesh->getGeo(FACE);

    if (ka == 2);
    else { 
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      for (i = 0; i < 3; i++) {
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	macr->coord[i]=me->coord[i];
	macr->setBoundary(facesPlusEdges + i, me->getBoundary(facesPlusEdges + i));
	macr->setBoundary(i, me->getBoundary(i));
	macr->setNeighbour(i, me->getNeighbour(i));
	macr->setOppVertex(i,me->getOppVertex(i));
      }    
  
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      for (i = 0; i < 7; i++)
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	d[i] = const_cast<DegreeOfFreedom*>(me->getElement()->getDof(i));      
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      if (ka == 1) { 
	me->coord[0] = macr->coord[2];
	me->coord[1] = macr->coord[0];
	me->coord[2] = macr->coord[1];

	me->setBoundary(facesPlusEdges + 0,macr->getBoundary(facesPlusEdges + 2));
	me->setBoundary(facesPlusEdges + 1,macr->getBoundary(facesPlusEdges + 0));
	me->setBoundary(facesPlusEdges + 2,macr->getBoundary(facesPlusEdges + 1));

	me->setBoundary(0, macr->getBoundary(2));
	me->setBoundary(1, macr->getBoundary(0));
	me->setBoundary(2, macr->getBoundary(1));

	me->setNeighbour(0