Xpetra_BlockedCrsMatrix.hpp

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#ifndef XPETRA_BLOCKEDCRSMATRIX_HPP
#define XPETRA_BLOCKEDCRSMATRIX_HPP
 
#include <Kokkos_DefaultNode.hpp>
 
#include <Teuchos_SerialDenseMatrix.hpp>
#include <Teuchos_Hashtable.hpp>
 
#include "Xpetra_ConfigDefs.hpp"
#include "Xpetra_Exceptions.hpp"
 
#include "Xpetra_MapFactory.hpp"
#include "Xpetra_MultiVector.hpp"
#include "Xpetra_BlockedMultiVector.hpp"
#include "Xpetra_MultiVectorFactory.hpp"
#include "Xpetra_BlockedVector.hpp"
#include "Xpetra_CrsGraph.hpp"
#include "Xpetra_CrsMatrix.hpp"
#include "Xpetra_CrsMatrixFactory.hpp"
 
#include "Xpetra_MapExtractor.hpp"
 
#include "Xpetra_Matrix.hpp"
#include "Xpetra_MatrixFactory.hpp"
#include "Xpetra_CrsMatrixWrap.hpp"
 
#ifdef HAVE_XPETRA_THYRA
#include <Thyra_ProductVectorSpaceBase.hpp>
#include <Thyra_VectorSpaceBase.hpp>
#include <Thyra_LinearOpBase.hpp>
#include <Thyra_BlockedLinearOpBase.hpp>
#include <Thyra_PhysicallyBlockedLinearOpBase.hpp>
#include "Xpetra_ThyraUtils.hpp"
#endif
 
#include "Xpetra_VectorFactory.hpp"
 
 
namespace Xpetra {
 
  typedef std::string viewLabel_t;
 
  template <class Scalar,
            class LocalOrdinal,
            class GlobalOrdinal,
            class Node = KokkosClassic::DefaultNode::DefaultNodeType>
  class BlockedCrsMatrix :
    public Matrix<Scalar, LocalOrdinal, GlobalOrdinal, Node> {
  public:
    typedef Scalar scalar_type;
    typedef LocalOrdinal local_ordinal_type;
    typedef GlobalOrdinal global_ordinal_type;
    typedef Node node_type;
 
  private:
#undef XPETRA_BLOCKEDCRSMATRIX_SHORT
#include "Xpetra_UseShortNames.hpp"
 
  public:
 
 
 
 
    BlockedCrsMatrix(const Teuchos::RCP<const BlockedMap>& rangeMaps,
                     const Teuchos::RCP<const BlockedMap>& domainMaps,
                     size_t npr) {
      is_diagonal_ = true;
      domainmaps_ = Teuchos::rcp(new MapExtractor(domainMaps));
      rangemaps_  = Teuchos::rcp(new MapExtractor(rangeMaps));
      bRangeThyraMode_  = rangeMaps->getThyraMode();
      bDomainThyraMode_ = domainMaps->getThyraMode();
 
      blocks_.reserve(Rows()*Cols());
 
      // add CrsMatrix objects in row,column order
      for (size_t r = 0; r < Rows(); ++r)
        for (size_t c = 0; c < Cols(); ++c)
          blocks_.push_back(MatrixFactory::Build(getRangeMap(r,bRangeThyraMode_), npr));
 
      // Default view
      CreateDefaultView();
    }
 
 
    BlockedCrsMatrix(Teuchos::RCP<const MapExtractor>& rangeMaps,
                     Teuchos::RCP<const MapExtractor>& domainMaps,
                     size_t npr)
      : is_diagonal_(true), domainmaps_(domainMaps), rangemaps_(rangeMaps)
    {
      bRangeThyraMode_  = rangeMaps->getThyraMode();
      bDomainThyraMode_ = domainMaps->getThyraMode();
 
      blocks_.reserve(Rows()*Cols());
 
      // add CrsMatrix objects in row,column order
      for (size_t r = 0; r < Rows(); ++r)
        for (size_t c = 0; c < Cols(); ++c)
          blocks_.push_back(MatrixFactory::Build(getRangeMap(r,bRangeThyraMode_), npr));
 
      // Default view
      CreateDefaultView();
    }
 
#ifdef HAVE_XPETRA_THYRA
 
    BlockedCrsMatrix(const Teuchos::RCP<const Thyra::BlockedLinearOpBase<Scalar> >& thyraOp, const Teuchos::RCP<const Teuchos::Comm<int> >& /* comm */)
      : is_diagonal_(true), thyraOp_(thyraOp)
    {
      // extract information from Thyra blocked operator and rebuilt information
      const Teuchos::RCP<const Thyra::ProductVectorSpaceBase<Scalar> > productRangeSpace  = thyraOp->productRange();
      const Teuchos::RCP<const Thyra::ProductVectorSpaceBase<Scalar> > productDomainSpace = thyraOp->productDomain();
 
      int numRangeBlocks  = productRangeSpace->numBlocks();
      int numDomainBlocks = productDomainSpace->numBlocks();
 
      // build range map extractor from Thyra::BlockedLinearOpBase object
      std::vector<Teuchos::RCP<const Map> > subRangeMaps(numRangeBlocks);
      for (size_t r=0; r<Teuchos::as<size_t>(numRangeBlocks); ++r) {
        for (size_t c=0; c<Teuchos::as<size_t>(numDomainBlocks); ++c) {
          if (thyraOp->blockExists(r,c)) {
            // we only need at least one block in each block row to extract the range map
            Teuchos::RCP<const Thyra::LinearOpBase<Scalar> > const_op = thyraOp->getBlock(r,c); // nonConst access is not allowed.
            Teuchos::RCP<const Xpetra::CrsMatrix<Scalar,LO,GO,Node> > xop =
                            Xpetra::ThyraUtils<Scalar,LocalOrdinal,GlobalOrdinal,Node>::toXpetra(const_op);
            subRangeMaps[r] = xop->getRangeMap();
            if(r!=c) is_diagonal_ = false;
            break;
          }
        }
      }
      Teuchos::RCP<const Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > fullRangeMap = mergeMaps(subRangeMaps);
 
      // check whether the underlying Thyra operator uses Thyra-style numbering (default for most applications) or
      // Xpetra style numbering
      bool bRangeUseThyraStyleNumbering = false;
      size_t numAllElements = 0;
      for(size_t v = 0; v < subRangeMaps.size(); ++v) {
        numAllElements += subRangeMaps[v]->getGlobalNumElements();
      }
      if ( fullRangeMap->getGlobalNumElements() != numAllElements) bRangeUseThyraStyleNumbering = true;
      rangemaps_ = Teuchos::rcp(new Xpetra::MapExtractor<Scalar,LocalOrdinal,GlobalOrdinal,Node>(fullRangeMap, subRangeMaps, bRangeUseThyraStyleNumbering));
 
      // build domain map extractor from Thyra::BlockedLinearOpBase object
      std::vector<Teuchos::RCP<const Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > > subDomainMaps(numDomainBlocks);
      for (size_t c=0; c<Teuchos::as<size_t>(numDomainBlocks); ++c) {
        for (size_t r=0; r<Teuchos::as<size_t>(numRangeBlocks); ++r) {
          if (thyraOp->blockExists(r,c)) {
            // we only need at least one block in each block row to extract the range map
            Teuchos::RCP<const Thyra::LinearOpBase<Scalar> > const_op = thyraOp->getBlock(r,c); // nonConst access is not allowed.
            Teuchos::RCP<const Xpetra::CrsMatrix<Scalar,LO,GO,Node> > xop =
                            Xpetra::ThyraUtils<Scalar,LO,GO,Node>::toXpetra(const_op);
            subDomainMaps[c] = xop->getDomainMap();
            break;
          }
        }
      }
      Teuchos::RCP<const Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > fullDomainMap = mergeMaps(subDomainMaps);
      // plausibility check for numbering style (Xpetra or Thyra)
      bool bDomainUseThyraStyleNumbering = false;
      numAllElements = 0;
      for(size_t v = 0; v < subDomainMaps.size(); ++v) {
        numAllElements += subDomainMaps[v]->getGlobalNumElements();
      }
      if (fullDomainMap->getGlobalNumElements() != numAllElements) bDomainUseThyraStyleNumbering = true;
      domainmaps_ = Teuchos::rcp(new Xpetra::MapExtractor<Scalar,LocalOrdinal,GlobalOrdinal,Node>(fullDomainMap, subDomainMaps, bDomainUseThyraStyleNumbering));
 
      // store numbering mode
      bRangeThyraMode_  = bRangeUseThyraStyleNumbering;
      bDomainThyraMode_ = bDomainUseThyraStyleNumbering;
 
      // add CrsMatrix objects in row,column order
      blocks_.reserve(Rows()*Cols());
      for (size_t r = 0; r < Rows(); ++r) {
        for (size_t c = 0; c < Cols(); ++c) {
          if(thyraOp->blockExists(r,c)) {
            // TODO we do not support nested Thyra operators here!
            Teuchos::RCP<const Thyra::LinearOpBase<Scalar> > const_op = thyraOp->getBlock(r,c); // nonConst access is not allowed.
            Teuchos::RCP<Thyra::LinearOpBase<Scalar> > op = Teuchos::rcp_const_cast<Thyra::LinearOpBase<Scalar> >(const_op); // cast away const
            Teuchos::RCP<Xpetra::CrsMatrix<Scalar,LO,GO,Node> > xop =
                Xpetra::ThyraUtils<Scalar,LO,GO,Node>::toXpetra(op);
            Teuchos::RCP<Xpetra::CrsMatrixWrap<Scalar,LO,GO,Node> > xwrap =
                Teuchos::rcp(new Xpetra::CrsMatrixWrap<Scalar,LO,GO,Node>(xop));
            blocks_.push_back(xwrap);
          } else {
            // add empty block
            blocks_.push_back(MatrixFactory::Build(getRangeMap(r,bRangeThyraMode_), 0));
          }
        }
      }
      // Default view
      CreateDefaultView();
    }
 
  private:
 
    Teuchos::RCP<const Map> mergeMaps(std::vector<Teuchos::RCP<const Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > > & subMaps) {
      // TODO merging for Thyra mode is missing (similar to what we do in constructor of MapExtractor
 
      // merge submaps to global map
      std::vector<GlobalOrdinal> gids;
      for(size_t tt = 0; tt<subMaps.size(); ++tt) {
        Teuchos::RCP<const Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > subMap = subMaps[tt];
#if 1
        Teuchos::ArrayView< const GlobalOrdinal > subMapGids = subMap->getNodeElementList();
        gids.insert(gids.end(), subMapGids.begin(), subMapGids.end());
#else
        size_t myNumElements = subMap->getNodeNumElements();
        for(LocalOrdinal l = 0; l < Teuchos::as<LocalOrdinal>(myNumElements); ++l) {
          GlobalOrdinal gid = subMap->getGlobalElement(l);
          gids.push_back(gid);
        }
#endif
      }
 
      // we have to sort the matrix entries and get rid of the double entries
      // since we use this to detect Thyra-style numbering or Xpetra-style
      // numbering. In Thyra-style numbering mode, the Xpetra::MapExtractor builds
      // the correct row maps.
      const GO INVALID = Teuchos::OrdinalTraits<Xpetra::global_size_t>::invalid();
      std::sort(gids.begin(), gids.end());
      gids.erase(std::unique(gids.begin(), gids.end()), gids.end());
      Teuchos::ArrayView<GO> gidsView(&gids[0], gids.size());
      Teuchos::RCP<Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > fullMap = Xpetra::MapFactory<LocalOrdinal,GlobalOrdinal,Node>::Build(subMaps[0]->lib(), INVALID, gidsView, subMaps[0]->getIndexBase(), subMaps[0]->getComm());
      return fullMap;
    }
 
  public:
#endif
 
    virtual ~BlockedCrsMatrix() {}
 
 
 
 
 
 
    void insertGlobalValues(GlobalOrdinal globalRow, const ArrayView<const GlobalOrdinal>& cols, const ArrayView<const Scalar>& vals) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::insertGlobalValues");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->insertGlobalValues(globalRow, cols, vals);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("insertGlobalValues not supported by BlockedCrsMatrix");
    }
 
 
    void insertLocalValues(LocalOrdinal localRow, const ArrayView<const LocalOrdinal>& cols, const ArrayView<const Scalar>& vals) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::insertLocalValues");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->insertLocalValues(localRow, cols, vals);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("insertLocalValues not supported by BlockedCrsMatrix");
    }
 
    void removeEmptyProcessesInPlace(const Teuchos::RCP<const Map>& newMap) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::removeEmptyProcessesInPlace");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->removeEmptyProcessesInPlace(newMap);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("removeEmptyProcesses not supported by BlockedCrsMatrix");
    }
 
 
    void replaceGlobalValues(GlobalOrdinal globalRow,
                             const ArrayView<const GlobalOrdinal> &cols,
                             const ArrayView<const Scalar>        &vals) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::replaceGlobalValues");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->replaceGlobalValues(globalRow,cols,vals);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("replaceGlobalValues not supported by BlockedCrsMatrix");
    }
 
 
    void replaceLocalValues(LocalOrdinal localRow,
                            const ArrayView<const LocalOrdinal> &cols,
                            const ArrayView<const Scalar>       &vals) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::replaceLocalValues");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->replaceLocalValues(localRow,cols,vals);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("replaceLocalValues not supported by BlockedCrsMatrix");
    }
 
    virtual void setAllToScalar(const Scalar& alpha) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::setAllToScalar");
      for (size_t row = 0; row < Rows(); row++) {
        for (size_t col = 0; col < Cols(); col++) {
          if (!getMatrix(row,col).is_null()) {
            getMatrix(row,col)->setAllToScalar(alpha);
          }
        }
      }
    }
 
    void scale(const Scalar& alpha) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::scale");
      for (size_t row = 0; row < Rows(); row++) {
        for (size_t col = 0; col < Cols(); col++) {
          if (!getMatrix(row,col).is_null()) {
            getMatrix(row,col)->scale(alpha);
          }
        }
      }
    }
 
 
 
 
    void resumeFill(const RCP< ParameterList >& params = null) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::resumeFill");
      for (size_t row = 0; row < Rows(); row++) {
        for (size_t col = 0; col < Cols(); col++) {
          if (!getMatrix(row,col).is_null()) {
            getMatrix(row,col)->resumeFill(params);
          }
        }
      }
    }
 
    void fillComplete(const RCP<const Map>& domainMap, const RCP<const Map>& rangeMap, const RCP<ParameterList>& params = null) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::fillComplete");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->fillComplete(domainMap, rangeMap, params);
        return;
      }
      fillComplete(params);
    }
 
    void fillComplete(const RCP<ParameterList>& params = null) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::fillComplete");
      TEUCHOS_TEST_FOR_EXCEPTION(rangemaps_==Teuchos::null, Xpetra::Exceptions::RuntimeError,"BlockedCrsMatrix::fillComplete: rangemaps_ is not set. Error.");
 
      for (size_t r = 0; r < Rows(); ++r)
        for (size_t c = 0; c < Cols(); ++c) {
          if(getMatrix(r,c) != Teuchos::null) {
            Teuchos::RCP<Matrix> Ablock = getMatrix(r,c);
            if(r!=c) is_diagonal_ = false;
            if (Ablock != Teuchos::null && !Ablock->isFillComplete())
              Ablock->fillComplete(getDomainMap(c, bDomainThyraMode_), getRangeMap(r, bRangeThyraMode_), params);
          }
        }
 
#if 0
      // get full row map
      RCP<const Map> rangeMap = rangemaps_->getFullMap();
      fullrowmap_ = MapFactory::Build(rangeMap()->lib(), rangeMap()->getGlobalNumElements(), rangeMap()->getNodeElementList(), rangeMap()->getIndexBase(), rangeMap()->getComm());
 
      // build full col map
      fullcolmap_ = Teuchos::null; // delete old full column map
 
      std::vector<GO> colmapentries;
      for (size_t c = 0; c < Cols(); ++c) {
        // copy all local column lids of all block rows to colset
        std::set<GO> colset;
        for (size_t r = 0; r < Rows(); ++r) {
          Teuchos::RCP<CrsMatrix> Ablock = getMatrix(r,c);
 
          if (Ablock != Teuchos::null) {
            Teuchos::ArrayView<const GO> colElements = Ablock->getColMap()->getNodeElementList();
            Teuchos::RCP<const Map>      colmap      = Ablock->getColMap();
            copy(colElements.getRawPtr(), colElements.getRawPtr() + colElements.size(), inserter(colset, colset.begin()));
          }
        }
 
        // remove duplicates (entries which are in column maps of more than one block row)
        colmapentries.reserve(colmapentries.size() + colset.size());
        copy(colset.begin(), colset.end(), back_inserter(colmapentries));
        sort(colmapentries.begin(), colmapentries.end());
        typename std::vector<GO>::iterator gendLocation;
        gendLocation = std::unique(colmapentries.begin(), colmapentries.end());
        colmapentries.erase(gendLocation,colmapentries.end());
      }
 
      // sum up number of local elements
      size_t numGlobalElements = 0;
      Teuchos::reduceAll(*(rangeMap->getComm()), Teuchos::REDUCE_SUM, colmapentries.size(), Teuchos::outArg(numGlobalElements));
 
      // store global full column map
      const Teuchos::ArrayView<const GO> aView = Teuchos::ArrayView<const GO>(colmapentries);
      fullcolmap_ = MapFactory::Build(rangeMap->lib(), numGlobalElements, aView, 0, rangeMap->getComm());
#endif
    }
 
 
 
    global_size_t getGlobalNumRows() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getGlobalNumRows");
      global_size_t globalNumRows = 0;
 
      for (size_t row = 0; row < Rows(); row++)
        for (size_t col = 0; col < Cols(); col++)
          if (!getMatrix(row,col).is_null()) {
            globalNumRows += getMatrix(row,col)->getGlobalNumRows();
            break; // we need only one non-null matrix in a row
          }
 
      return globalNumRows;
    }
 
 
    global_size_t getGlobalNumCols() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getGlobalNumCols");
      global_size_t globalNumCols = 0;
 
      for (size_t col = 0; col < Cols(); col++)
        for (size_t row = 0; row < Rows(); row++)
          if (!getMatrix(row,col).is_null()) {
            globalNumCols += getMatrix(row,col)->getGlobalNumCols();
            break; // we need only one non-null matrix in a col
          }
 
      return globalNumCols;
    }
 
    size_t getNodeNumRows() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getNodeNumRows");
      global_size_t nodeNumRows = 0;
 
      for (size_t row = 0; row < Rows(); ++row)
        for (size_t col = 0; col < Cols(); col++)
          if (!getMatrix(row,col).is_null()) {
            nodeNumRows += getMatrix(row,col)->getNodeNumRows();
            break; // we need only one non-null matrix in a row
          }
 
      return nodeNumRows;
    }
 
    global_size_t getGlobalNumEntries() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getGlobalNumEntries");
      global_size_t globalNumEntries = 0;
 
      for (size_t row = 0; row < Rows(); ++row)
        for (size_t col = 0; col < Cols(); ++col)
          if (!getMatrix(row,col).is_null())
            globalNumEntries += getMatrix(row,col)->getGlobalNumEntries();
 
      return globalNumEntries;
    }
 
    size_t getNodeNumEntries() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getNodeNumEntries");
      global_size_t nodeNumEntries = 0;
 
      for (size_t row = 0; row < Rows(); ++row)
        for (size_t col = 0; col < Cols(); ++col)
          if (!getMatrix(row,col).is_null())
            nodeNumEntries += getMatrix(row,col)->getNodeNumEntries();
 
      return nodeNumEntries;
    }
 
 
    size_t getNumEntriesInLocalRow(LocalOrdinal localRow) const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getNumEntriesInLocalRow");
      GlobalOrdinal gid = this->getRowMap()->getGlobalElement(localRow);
      size_t row = getBlockedRangeMap()->getMapIndexForGID(gid);
      LocalOrdinal lid = getBlockedRangeMap()->getMap(row)->getLocalElement(gid);
      size_t numEntriesInLocalRow = 0;
      for (size_t col = 0; col < Cols(); ++col)
        if (!getMatrix(row,col).is_null())
          numEntriesInLocalRow += getMatrix(row,col)->getNumEntriesInLocalRow(lid);
      return numEntriesInLocalRow;
    }
 
 
    size_t getNumEntriesInGlobalRow(GlobalOrdinal globalRow) const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getNumEntriesInGlobalRow");      
      size_t row = getBlockedRangeMap()->getMapIndexForGID(globalRow);
      size_t numEntriesInGlobalRow = 0;
      for (size_t col = 0; col < Cols(); ++col)
        if (!getMatrix(row,col).is_null())
          numEntriesInGlobalRow += getMatrix(row,col)->getNumEntriesInGlobalRow(globalRow);
      return numEntriesInGlobalRow;
    }
 
 
    size_t getGlobalMaxNumRowEntries() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getGlobalMaxNumRowEntries");
      global_size_t globalMaxEntries = 0;
 
      for (size_t row = 0; row < Rows(); row++) {
        global_size_t globalMaxEntriesBlockRows = 0;
        for (size_t col = 0; col < Cols(); col++) {
          if (!getMatrix(row,col).is_null()) {
            globalMaxEntriesBlockRows += getMatrix(row,col)->getGlobalMaxNumRowEntries();
          }
        }
        if(globalMaxEntriesBlockRows > globalMaxEntries)
          globalMaxEntries = globalMaxEntriesBlockRows;
      }
      return globalMaxEntries;
    }
 
 
    size_t getNodeMaxNumRowEntries() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getNodeMaxNumRowEntries");
      size_t localMaxEntries = 0;
 
      for (size_t row = 0; row < Rows(); row++) {
        size_t localMaxEntriesBlockRows = 0;
        for (size_t col = 0; col < Cols(); col++) {
          if (!getMatrix(row,col).is_null()) {
            localMaxEntriesBlockRows += getMatrix(row,col)->getNodeMaxNumRowEntries();
          }
        }
        if(localMaxEntriesBlockRows > localMaxEntries)
          localMaxEntries = localMaxEntriesBlockRows;
      }
      return localMaxEntries;
    }
 
 
    bool isLocallyIndexed() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::isLocallyIndexed");
      for (size_t i = 0; i < blocks_.size(); ++i)
        if (blocks_[i] != Teuchos::null && !blocks_[i]->isLocallyIndexed())
          return false;
      return true;
    }
 
 
    bool isGloballyIndexed() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::isGloballyIndexed");
      for (size_t i = 0; i < blocks_.size(); i++)
        if (blocks_[i] != Teuchos::null && !blocks_[i]->isGloballyIndexed())
          return false;
      return true;
    }
 
    bool isFillComplete() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::isFillComplete");
      for (size_t i = 0; i < blocks_.size(); i++)
        if (blocks_[i] != Teuchos::null && !blocks_[i]->isFillComplete())
          return false;
      return true;
    }
 
 
    virtual void getLocalRowCopy(LocalOrdinal LocalRow,
                                 const ArrayView<LocalOrdinal>& Indices,
                                 const ArrayView<Scalar>& Values,
                                 size_t &NumEntries) const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getLocalRowCopy");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->getLocalRowCopy(LocalRow, Indices, Values, NumEntries);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("getLocalRowCopy not supported by BlockedCrsMatrix" );
    }
 
 
    void getGlobalRowView(GlobalOrdinal GlobalRow, ArrayView<const GlobalOrdinal>& indices, ArrayView<const Scalar>& values) const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getGlobalRowView");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->getGlobalRowView(GlobalRow, indices, values);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("getGlobalRowView not supported by BlockedCrsMatrix");
    }
 
 
    void getLocalRowView(LocalOrdinal LocalRow, ArrayView<const LocalOrdinal>& indices, ArrayView<const Scalar>& values) const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getLocalRowView");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->getLocalRowView(LocalRow, indices, values);
        return;
      }
      else if(is_diagonal_) {
        GlobalOrdinal gid = this->getRowMap()->getGlobalElement(LocalRow);
        size_t row = getBlockedRangeMap()->getMapIndexForGID(gid);
        getMatrix(row,row)->getLocalRowView(getMatrix(row,row)->getRowMap()->getLocalElement(gid),indices,values);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("getLocalRowView not supported by BlockedCrsMatrix");
    }
 
 
    void getLocalDiagCopy(Vector& diag) const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getLocalDiagCopy");
 
      //RCP<Teuchos::FancyOStream> fancy = Teuchos::fancyOStream(Teuchos::rcpFromRef(std::cout));
 
      Teuchos::RCP<Vector> rcpdiag = Teuchos::rcpFromRef(diag);
      Teuchos::RCP<BlockedVector> bdiag = Teuchos::rcp_dynamic_cast<BlockedVector>(rcpdiag);
 
      // special treatment for 1x1 block matrices
      // ReorderedBlockedCrsMatrix object encapsulate single blocks in ReorderedBlocks
      // BlockedVectors have Vector objects as Leaf objects.
      if(Rows() == 1 && Cols() == 1 && bdiag.is_null() == true) {
        Teuchos::RCP<const Matrix> rm = getMatrix(0,0);
        rm->getLocalDiagCopy(diag);
        return;
      }
 
      TEUCHOS_TEST_FOR_EXCEPTION(bdiag.is_null() == true, Xpetra::Exceptions::RuntimeError, "BlockedCrsMatrix::getLocalDiagCopy: diag must be a Blocked(Multi)Vector.");
      TEUCHOS_TEST_FOR_EXCEPTION(bdiag->getNumVectors() != 1, Xpetra::Exceptions::RuntimeError, "BlockedCrsMatrix::getLocalDiagCopy: diag must be a Blocked(Multi)Vector with exactly one vector. However, the number of stored vectors is " << bdiag->getNumVectors());
      TEUCHOS_TEST_FOR_EXCEPTION(bdiag->getBlockedMap()->getNumMaps() != this->Rows(), Xpetra::Exceptions::RuntimeError,
        "BlockedCrsMatrix::getLocalDiagCopy(): the number of blocks in diag differ from the number of blocks in this operator." );
      //XPETRA_TEST_FOR_EXCEPTION(bdiag->getMap()->isSameAs(*(getMap())) == false, Xpetra::Exceptions::RuntimeError,
      //  "BlockedCrsMatrix::getLocalDiagCopy(): the map of the vector diag is not compatible with the map of the blocked operator." );
 
      for (size_t row = 0; row < Rows(); row++) {
        Teuchos::RCP<const Matrix> rm = getMatrix(row,row);
        if (!rm.is_null()) {
          Teuchos::RCP<Vector> rv = VectorFactory::Build(bdiag->getBlockedMap()->getMap(row,bdiag->getBlockedMap()->getThyraMode()));
          rm->getLocalDiagCopy(*rv);
          bdiag->setMultiVector(row,rv,bdiag->getBlockedMap()->getThyraMode());
        }
      }
    }
 
    void leftScale (const Vector& x) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::leftScale");
 
      Teuchos::RCP<const Vector> rcpx = Teuchos::rcpFromRef(x);
      Teuchos::RCP<const BlockedVector> bx = Teuchos::rcp_dynamic_cast<const BlockedVector>(rcpx);
 
      //RCP<Teuchos::FancyOStream> fancy = Teuchos::fancyOStream(Teuchos::rcpFromRef(std::cout));
 
      // special treatment for 1xn block matrices
      // ReorderedBlockedCrsMatrix object encapsulate single blocks in ReorderedBlocks
      // BlockedVectors have Vector objects as Leaf objects.
      if(Rows() == 1 && bx.is_null() == true) {
        for (size_t col = 0; col < Cols(); ++col) {
          Teuchos::RCP<Matrix> rm = getMatrix(0,col);
          rm->leftScale(x);
        }
        return;
      }
 
      TEUCHOS_TEST_FOR_EXCEPTION(bx.is_null() == true, Xpetra::Exceptions::RuntimeError, "BlockedCrsMatrix::leftScale: x must be a Blocked(Multi)Vector.");
      TEUCHOS_TEST_FOR_EXCEPTION(bx->getNumVectors() != 1, Xpetra::Exceptions::RuntimeError, "BlockedCrsMatrix::leftScale: x must be a Blocked(Multi)Vector with exactly one vector. However, the number of stored vectors is " << bx->getNumVectors());
      TEUCHOS_TEST_FOR_EXCEPTION(bx->getBlockedMap()->getNumMaps() != this->Rows(), Xpetra::Exceptions::RuntimeError,
        "BlockedCrsMatrix::leftScale(): the number of blocks in diag differ from the number of blocks in this operator." );
 
      for (size_t row = 0; row < Rows(); row++) {
        Teuchos::RCP<const MultiVector> rmv = bx->getMultiVector(row);
        Teuchos::RCP<const Vector> rscale = rmv->getVector(0);
        XPETRA_TEST_FOR_EXCEPTION(rscale.is_null()==true, Xpetra::Exceptions::RuntimeError, "BlockedCrsMatrix::leftScale: x must be a Vector.");
        for (size_t col = 0; col < Cols(); ++col) {
          Teuchos::RCP<Matrix> rm = getMatrix(row,col);
          if (!rm.is_null()) {
            rm->leftScale(*rscale);
          }
        }
      }
    }
 
    void rightScale (const Vector& x) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::rightScale");
 
      Teuchos::RCP<const Vector> rcpx = Teuchos::rcpFromRef(x);
      Teuchos::RCP<const BlockedVector> bx = Teuchos::rcp_dynamic_cast<const BlockedVector>(rcpx);
 
      //RCP<Teuchos::FancyOStream> fancy = Teuchos::fancyOStream(Teuchos::rcpFromRef(std::cout));
 
      // special treatment for nx1 block matrices
      // ReorderedBlockedCrsMatrix object encapsulate single blocks in ReorderedBlocks
      // BlockedVectors have Vector objects as Leaf objects.
      if(Cols() == 1 && bx.is_null() == true) {
        for (size_t row = 0; row < Rows(); ++row) {
          Teuchos::RCP<Matrix> rm = getMatrix(row,0);
          rm->rightScale(x);
        }
        return;
      }
 
      TEUCHOS_TEST_FOR_EXCEPTION(bx.is_null() == true, Xpetra::Exceptions::RuntimeError, "BlockedCrsMatrix::rightScale: x must be a Blocked(Multi)Vector.");
      TEUCHOS_TEST_FOR_EXCEPTION(bx->getNumVectors() != 1, Xpetra::Exceptions::RuntimeError, "BlockedCrsMatrix::rightScale: x must be a Blocked(Multi)Vector with exactly one vector. However, the number of stored vectors is " << bx->getNumVectors());
      TEUCHOS_TEST_FOR_EXCEPTION(bx->getBlockedMap()->getNumMaps() != this->Cols(), Xpetra::Exceptions::RuntimeError,
        "BlockedCrsMatrix::rightScale(): the number of blocks in diag differ from the number of blocks in this operator." );
 
      for (size_t col = 0; col < Cols(); ++col) {
        Teuchos::RCP<const MultiVector> rmv = bx->getMultiVector(col);
        Teuchos::RCP<const Vector> rscale = rmv->getVector(0);
        XPETRA_TEST_FOR_EXCEPTION(rscale.is_null()==true, Xpetra::Exceptions::RuntimeError, "BlockedCrsMatrix::leftScale: x must be a Vector.");
        for (size_t row = 0; row < Rows(); row++) {
          Teuchos::RCP<Matrix> rm = getMatrix(row,col);
          if (!rm.is_null()) {
            rm->rightScale(*rscale);
          }
        }
      }
    }
 
 
    virtual typename ScalarTraits<Scalar>::magnitudeType getFrobeniusNorm() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getFrobeniusNorm");
      typename ScalarTraits<Scalar>::magnitudeType ret = Teuchos::ScalarTraits<Scalar>::magnitude(Teuchos::ScalarTraits<Scalar>::zero());
      for (size_t col = 0; col < Cols(); ++col) {
        for (size_t row = 0; row < Rows(); ++row) {
          if(getMatrix(row,col)!=Teuchos::null) {
            typename ScalarTraits<Scalar>::magnitudeType n = getMatrix(row,col)->getFrobeniusNorm();
            ret += n * n;
          }
        }
      }
      return Teuchos::ScalarTraits< typename ScalarTraits<Scalar>::magnitudeType >::squareroot(ret);
    }
 
 
    virtual bool haveGlobalConstants() const {return true;}
 
 
 
 
 
 
 
 
 
 
    virtual void apply(const MultiVector& X, MultiVector& Y,
                       Teuchos::ETransp mode = Teuchos::NO_TRANS,
                       Scalar alpha = ScalarTraits<Scalar>::one(),
                       Scalar beta  = ScalarTraits<Scalar>::zero()) const
    {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::apply");
      //using Teuchos::RCP;
 
      TEUCHOS_TEST_FOR_EXCEPTION(mode != Teuchos::NO_TRANS && mode != Teuchos::TRANS, Xpetra::Exceptions::RuntimeError,
                                 "apply() only supports the following modes: NO_TRANS and TRANS." );
 
      // check whether input parameters are blocked or not
      RCP<const MultiVector>         refX = rcpFromRef(X);
      RCP<const BlockedMultiVector> refbX = Teuchos::rcp_dynamic_cast<const BlockedMultiVector>(refX);
      //RCP<MultiVector>               tmpY = rcpFromRef(Y);
      //RCP<BlockedMultiVector>       tmpbY = Teuchos::rcp_dynamic_cast<BlockedMultiVector>(tmpY);
 
      // TODO get rid of me: adapt MapExtractor
      bool bBlockedX = (refbX != Teuchos::null) ? true : false;
 
      // create (temporary) vectors for output
      // In the end we call Y.update(alpha, *tmpY, beta). Therefore we need a new vector storing the temporary results
      RCP<MultiVector> tmpY = MultiVectorFactory::Build(Y.getMap(), Y.getNumVectors(), true);
 
      //RCP<Teuchos::FancyOStream> out = rcp(new Teuchos::FancyOStream(rcp(&std::cout,false)));
 
      SC one = ScalarTraits<SC>::one();
 
      if (mode == Teuchos::NO_TRANS) {
 
        for (size_t row = 0; row < Rows(); row++) {
          RCP<MultiVector>    Yblock = rangemaps_->getVector(row, Y.getNumVectors(), bRangeThyraMode_, true);
          for (size_t col = 0; col < Cols(); col++) {
 
            // extract matrix block
            RCP<Matrix> Ablock = getMatrix(row, col);
 
            if (Ablock.is_null())
              continue;
 
            // check whether Ablock is itself a blocked operator
            // If it is a blocked operator we have to provide Xpetra style GIDs, i.e. we have to transform GIDs
            bool bBlockedSubMatrix = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(Ablock) == Teuchos::null ? false : true;
 
            // input/output vectors for local block operation
            RCP<const MultiVector> Xblock = Teuchos::null; // subpart of X vector to be applied to subblock of A
 
            // extract sub part of X using Xpetra or Thyra GIDs
            // if submatrix is again blocked, we extract it using Xpetra style gids. If it is a single
            // block matrix we use the Thyra or Xpetra style GIDs that are used to store the matrix
            if(bBlockedX) Xblock = domainmaps_->ExtractVector(refbX, col, bDomainThyraMode_);
            else          Xblock = domainmaps_->ExtractVector(refX,  col, bBlockedSubMatrix == true ? false : bDomainThyraMode_);
 
            RCP<MultiVector> tmpYblock = rangemaps_->getVector(row, Y.getNumVectors(), bRangeThyraMode_, false);  // subpart of Y vector containing part of solution of Xblock applied to Ablock
            Ablock->apply(*Xblock, *tmpYblock);
 
            Yblock->update(one, *tmpYblock, one);
          }
          rangemaps_->InsertVector(Yblock, row, tmpY, bRangeThyraMode_);
        }
 
      } else if (mode == Teuchos::TRANS) {
        // TODO: test me!
        for (size_t col = 0; col < Cols(); col++) {
          RCP<MultiVector>    Yblock = domainmaps_->getVector(col, Y.getNumVectors(), bDomainThyraMode_, true);
 
          for (size_t row = 0; row<Rows(); row++) {
            RCP<Matrix>            Ablock = getMatrix(row, col);
 
            if (Ablock.is_null())
              continue;
 
            // check whether Ablock is itself a blocked operator
            // If it is a blocked operator we have to provide Xpetra style GIDs, i.e. we have to transform GIDs
            bool bBlockedSubMatrix = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(Ablock) == Teuchos::null ? false : true;
 
            RCP<const MultiVector> Xblock = Teuchos::null;
 
            // extract sub part of X using Xpetra or Thyra GIDs
            if(bBlockedX) Xblock = rangemaps_->ExtractVector(refbX, row, bRangeThyraMode_);
            else          Xblock = rangemaps_->ExtractVector(refX,  row, bBlockedSubMatrix == true ? false : bRangeThyraMode_);
            RCP<MultiVector> tmpYblock = domainmaps_->getVector(col, Y.getNumVectors(), bDomainThyraMode_, false);
            Ablock->apply(*Xblock, *tmpYblock, Teuchos::TRANS);
 
            Yblock->update(one, *tmpYblock, one);
          }
          domainmaps_->InsertVector(Yblock, col, tmpY, bDomainThyraMode_);
        }
      }
      Y.update(alpha, *tmpY, beta);
    }
 
    RCP<const Map > getFullDomainMap() const        { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getFullDomainMap()"); return domainmaps_->getFullMap(); }
 
    RCP<const BlockedMap > getBlockedDomainMap() const     { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getBlockedDomainMap()"); return domainmaps_->getBlockedMap(); }
 
    RCP<const Map > getDomainMap() const            { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getDomainMap()"); return domainmaps_->getMap(); /*domainmaps_->getFullMap();*/ }
 
    RCP<const Map > getDomainMap(size_t i) const    { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getDomainMap(size_t)"); return domainmaps_->getMap(i, bDomainThyraMode_); }
 
    RCP<const Map > getDomainMap(size_t i, bool bThyraMode) const    { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getDomainMap(size_t,bool)"); return domainmaps_->getMap(i, bThyraMode); }
 
    RCP<const Map > getFullRangeMap() const         { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getRangeMap()"); return rangemaps_->getFullMap(); }
 
    RCP<const BlockedMap > getBlockedRangeMap() const     { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getBlockedRangeMap()"); return rangemaps_->getBlockedMap(); }
 
    RCP<const Map > getRangeMap() const             { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getRangeMap()"); return rangemaps_->getMap(); /*rangemaps_->getFullMap();*/ }
 
    RCP<const Map > getRangeMap(size_t i) const     { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getRangeMap(size_t)"); return rangemaps_->getMap(i, bRangeThyraMode_); }
 
    RCP<const Map > getRangeMap(size_t i, bool bThyraMode) const     { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getRangeMap(size_t,bool)"); return rangemaps_->getMap(i, bThyraMode); }
 
    RCP<const MapExtractor> getRangeMapExtractor() const { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getRangeMapExtractor()"); return rangemaps_; }
 
    RCP<const MapExtractor> getDomainMapExtractor() const { XPETRA_MONITOR("XpetraBlockedCrsMatrix::getDomainMapExtractor()"); return domainmaps_; }
 
 
    //{@
 
    virtual void bgs_apply(
        const MultiVector& X, 
        MultiVector& Y, 
        size_t row, 
        Teuchos::ETransp mode = Teuchos::NO_TRANS, 
        Scalar alpha = ScalarTraits<Scalar>::one(), 
        Scalar beta  = ScalarTraits<Scalar>::zero() 
        ) const
    {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::bgs_apply");
      //using Teuchos::RCP;
 
      TEUCHOS_TEST_FOR_EXCEPTION(mode != Teuchos::NO_TRANS && mode != Teuchos::TRANS, Xpetra::Exceptions::RuntimeError,
                                 "apply() only supports the following modes: NO_TRANS and TRANS." );
 
      // check whether input parameters are blocked or not
      RCP<const MultiVector>         refX = rcpFromRef(X);
      RCP<const BlockedMultiVector> refbX = Teuchos::rcp_dynamic_cast<const BlockedMultiVector>(refX);
      //RCP<MultiVector>               tmpY = rcpFromRef(Y);
      //RCP<BlockedMultiVector>       tmpbY = Teuchos::rcp_dynamic_cast<BlockedMultiVector>(tmpY);
 
      bool bBlockedX = (refbX != Teuchos::null) ? true : false;
 
      // create (temporary) vectors for output
      // In the end we call Y.update(alpha, *tmpY, beta). Therefore we need a new vector storing the temporary results
      RCP<MultiVector> tmpY = MultiVectorFactory::Build(Y.getMap(), Y.getNumVectors(), true);
 
      SC one = ScalarTraits<SC>::one();
 
      if (mode == Teuchos::NO_TRANS) {
        RCP<MultiVector>    Yblock = rangemaps_->getVector(row, Y.getNumVectors(), bRangeThyraMode_, true);
        for (size_t col = 0; col < Cols(); col++) {
 
          // extract matrix block
          RCP<Matrix> Ablock = getMatrix(row, col);
 
          if (Ablock.is_null())
            continue;
 
          // check whether Ablock is itself a blocked operator
          // If it is a blocked operator we have to provide Xpetra style GIDs, i.e. we have to transform GIDs
          bool bBlockedSubMatrix = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(Ablock) == Teuchos::null ? false : true;
 
          // input/output vectors for local block operation
          RCP<const MultiVector> Xblock = Teuchos::null; // subpart of X vector to be applied to subblock of A
 
          // extract sub part of X using Xpetra or Thyra GIDs
          // if submatrix is again blocked, we extract it using Xpetra style gids. If it is a single
          // block matrix we use the Thyra or Xpetra style GIDs that are used to store the matrix
          if(bBlockedX) Xblock = domainmaps_->ExtractVector(refbX, col, bDomainThyraMode_);
          else          Xblock = domainmaps_->ExtractVector(refX,  col, bBlockedSubMatrix == true ? false : bDomainThyraMode_);
 
          RCP<MultiVector> tmpYblock = rangemaps_->getVector(row, Y.getNumVectors(), bRangeThyraMode_, false);  // subpart of Y vector containing part of solution of Xblock applied to Ablock
          Ablock->apply(*Xblock, *tmpYblock);
 
          Yblock->update(one, *tmpYblock, one);
        }
        rangemaps_->InsertVector(Yblock, row, tmpY, bRangeThyraMode_);
      } else {
        TEUCHOS_TEST_FOR_EXCEPTION(true,Xpetra::Exceptions::NotImplemented,"Xpetar::BlockedCrsMatrix::bgs_apply: not implemented for transpose case.");
      }
      Y.update(alpha, *tmpY, beta);
    }
 
 
 
 
    //{@
 
    const Teuchos::RCP< const Map > getMap() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getMap");
      if (Rows() == 1 && Cols () == 1) {
        return getMatrix(0,0)->getMap();
      }
      throw Xpetra::Exceptions::RuntimeError("BlockedCrsMatrix::getMap(): operation not supported.");
    }
 
    void doImport(const Matrix &source, const Import& importer, CombineMode CM) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::doImport");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->doImport(source, importer, CM);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("BlockedCrsMatrix::doImport(): operation not supported.");
    }
 
    void doExport(const Matrix& dest, const Import& importer, CombineMode CM) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::doExport");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->doExport(dest, importer, CM);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("BlockedCrsMatrix::doExport(): operation not supported.");
    }
 
    void doImport(const Matrix& source, const Export& exporter, CombineMode CM) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::doImport");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->doImport(source, exporter, CM);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("BlockedCrsMatrix::doImport(): operation not supported.");
    }
 
    void doExport(const Matrix& dest, const Export& exporter, CombineMode CM) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::doExport");
      if (Rows() == 1 && Cols () == 1) {
        getMatrix(0,0)->doExport(dest, exporter, CM);
        return;
      }
      throw Xpetra::Exceptions::RuntimeError("BlockedCrsMatrix::doExport(): operation not supported.");
    }
 
    // @}
 
 
 
    std::string description() const                       { return "Xpetra_BlockedCrsMatrix.description()"; }
 
    void describe(Teuchos::FancyOStream& out, const Teuchos::EVerbosityLevel verbLevel = Teuchos::Describable::verbLevel_default) const {
      out << "Xpetra::BlockedCrsMatrix: " << Rows() << " x " << Cols() << std::endl;
 
      if (isFillComplete()) {
        out << "BlockMatrix is fillComplete" << std::endl;
 
        /*if(fullrowmap_ != Teuchos::null) {
          out << "fullRowMap" << std::endl;
          fullrowmap_->describe(out,verbLevel);
        } else {
          out << "fullRowMap not set. Check whether block matrix is properly fillCompleted!" << std::endl;
        }*/
 
        //out << "fullColMap" << std::endl;
        //fullcolmap_->describe(out,verbLevel);
 
      } else {
        out << "BlockMatrix is NOT fillComplete" << std::endl;
      }
 
      for (size_t r = 0; r < Rows(); ++r)
        for (size_t c = 0; c < Cols(); ++c) {
          if(getMatrix(r,c)!=Teuchos::null) {
            out << "Block(" << r << "," << c << ")" << std::endl;
            getMatrix(r,c)->describe(out,verbLevel);
          } else out << "Block(" << r << "," << c << ") = null" << std::endl;
        }
    }
 
 
    void setObjectLabel( const std::string &objectLabel ) {
      XPETRA_MONITOR("TpetraBlockedCrsMatrix::setObjectLabel");
      for (size_t r = 0; r < Rows(); ++r)
        for (size_t c = 0; c < Cols(); ++c) {
          if(getMatrix(r,c)!=Teuchos::null) {
            std::ostringstream oss; oss<< objectLabel << "(" << r << "," << c << ")";
            getMatrix(r,c)->setObjectLabel(oss.str());
          }
        }
    }
 
 
    bool hasCrsGraph() const {
      if (Rows() == 1 && Cols () == 1) return true;
      else return false;
    }
 
    RCP<const CrsGraph> getCrsGraph() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getCrsGraph");
      if (Rows() == 1 && Cols () == 1) {
        return getMatrix(0,0)->getCrsGraph();
      }
      throw Xpetra::Exceptions::RuntimeError("getCrsGraph() not supported by BlockedCrsMatrix");
    }
 
 
 
 
    virtual bool isDiagonal() const {return is_diagonal_;}
 
    virtual size_t Rows() const                                       { XPETRA_MONITOR("XpetraBlockedCrsMatrix::Rows"); return rangemaps_->NumMaps(); }
 
    virtual size_t Cols() const                                       { XPETRA_MONITOR("XpetraBlockedCrsMatrix::Cols"); return domainmaps_->NumMaps(); }
 
    Teuchos::RCP<Matrix> getCrsMatrix() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getCrsMatrix");
      TEUCHOS_TEST_FOR_EXCEPTION(Rows()!=1, std::out_of_range, "Can only unwrap a 1x1 blocked matrix. The matrix has " << Rows() << " block rows, though.");
      TEUCHOS_TEST_FOR_EXCEPTION(Cols()!=1, std::out_of_range, "Can only unwrap a 1x1 blocked matrix. The matrix has " << Cols() << " block columns, though.");
 
      RCP<Matrix> mat = getMatrix(0,0);
      RCP<BlockedCrsMatrix> bmat = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(mat);
      if (bmat == Teuchos::null) return mat;
      return bmat->getCrsMatrix();
    }
 
    Teuchos::RCP<Matrix> getInnermostCrsMatrix() {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getInnermostCrsMatrix");
      size_t row = Rows()+1, col = Cols()+1;
      for (size_t r = 0; r < Rows(); ++r)
        for(size_t c = 0; c < Cols(); ++c)
          if (getMatrix(r,c) != Teuchos::null) {
            row = r;
            col = c;
            break;
          }
      TEUCHOS_TEST_FOR_EXCEPTION(row == Rows()+1 || col == Cols()+1, Xpetra::Exceptions::Incompatible, "Xpetra::BlockedCrsMatrix::getInnermostCrsMatrix: Could not find a non-zero sub-block in blocked operator.")
      RCP<Matrix> mm = getMatrix(row,col);
      RCP<BlockedCrsMatrix> bmat = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(mm);
      if (bmat == Teuchos::null) return mm;
      return bmat->getInnermostCrsMatrix();
    }
 
    Teuchos::RCP<Matrix> getMatrix(size_t r, size_t c) const       {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::getMatrix");
      TEUCHOS_TEST_FOR_EXCEPTION(r > Rows(), std::out_of_range, "Error, r = " << Rows() << " is too big");
      TEUCHOS_TEST_FOR_EXCEPTION(c > Cols(), std::out_of_range, "Error, c = " << Cols() << " is too big");
 
      // transfer strided/blocked map information
      /*      if (blocks_[r*Cols()+c] != Teuchos::null &&
          blocks_[r*Cols()+c]->IsView("stridedMaps") == false)
          blocks_[r*Cols()+c]->CreateView("stridedMaps", getRangeMap(r,bRangeThyraMode_), getDomainMap(c,bDomainThyraMode_));*/
      return blocks_[r*Cols()+c];
    }
 
    //void setMatrix(size_t r, size_t c, Teuchos::RCP<CrsMatrix> mat) {
    void setMatrix(size_t r, size_t c, Teuchos::RCP<Matrix> mat) {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::setMatrix");
      // TODO: if filled -> return error
 
      TEUCHOS_TEST_FOR_EXCEPTION(r > Rows(), std::out_of_range, "Error, r = " << Rows() << " is too big");
      TEUCHOS_TEST_FOR_EXCEPTION(c > Cols(), std::out_of_range, "Error, c = " << Cols() << " is too big");
      if(!mat.is_null() && r!=c) is_diagonal_ = false;
      // set matrix
      blocks_[r*Cols() + c] = mat;
    }
 
    // NOTE: This is a rather expensive operation, since all blocks are copied
    // into a new big CrsMatrix
    Teuchos::RCP<Matrix> Merge() const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::Merge");
      using Teuchos::RCP;
      using Teuchos::rcp_dynamic_cast;
      Scalar one = ScalarTraits<SC>::one();
 
      TEUCHOS_TEST_FOR_EXCEPTION(bRangeThyraMode_ != bDomainThyraMode_, Xpetra::Exceptions::RuntimeError,
                                 "BlockedCrsMatrix::Merge: only implemented for Xpetra-style or Thyra-style numbering. No mixup allowed!" );
 
      TEUCHOS_TEST_FOR_EXCEPTION(isFillComplete() == false, Xpetra::Exceptions::RuntimeError,
                                 "BlockedCrsMatrix::Merge: BlockMatrix must be fill-completed." );
 
      LocalOrdinal lclNumRows = getFullRangeMap()->getNodeNumElements();
      Teuchos::ArrayRCP<size_t> numEntPerRow (lclNumRows);
      for (LocalOrdinal lclRow = 0; lclRow < lclNumRows; ++lclRow)
        numEntPerRow[lclRow] = getNumEntriesInLocalRow(lclRow);
 
      RCP<Matrix> sparse = MatrixFactory::Build(getFullRangeMap(), numEntPerRow);
 
      if(bRangeThyraMode_ == false) {
        // Xpetra mode
        for (size_t i = 0; i < Rows(); i++) {
          for (size_t j = 0; j < Cols(); j++) {
            if (getMatrix(i,j) != Teuchos::null) {
              RCP<const Matrix> mat = getMatrix(i,j);
 
              // recursively call Merge routine
              RCP<const BlockedCrsMatrix> bMat = Teuchos::rcp_dynamic_cast<const BlockedCrsMatrix>(mat);
              if (bMat != Teuchos::null) mat = bMat->Merge();
 
              bMat = Teuchos::rcp_dynamic_cast<const BlockedCrsMatrix>(mat);
              TEUCHOS_TEST_FOR_EXCEPTION(bMat != Teuchos::null, Xpetra::Exceptions::RuntimeError,
                                         "BlockedCrsMatrix::Merge: Merging of blocked sub-operators failed?!" );
 
              // jump over empty blocks
              if(mat->getNodeNumEntries() == 0) continue;
 
              this->Add(*mat, one, *sparse, one);
            }
          }
        }
      } else {
        // Thyra mode
        for (size_t i = 0; i < Rows(); i++) {
          for (size_t j = 0; j < Cols(); j++) {
            if (getMatrix(i,j) != Teuchos::null) {
              RCP<const Matrix> mat = getMatrix(i,j);
              // recursively call Merge routine
              RCP<const BlockedCrsMatrix> bMat = Teuchos::rcp_dynamic_cast<const BlockedCrsMatrix>(mat);
              if (bMat != Teuchos::null) mat = bMat->Merge();
 
              bMat = Teuchos::rcp_dynamic_cast<const BlockedCrsMatrix>(mat);
              TEUCHOS_TEST_FOR_EXCEPTION(bMat != Teuchos::null, Xpetra::Exceptions::RuntimeError,
                                         "BlockedCrsMatrix::Merge: Merging of blocked sub-operators failed?!" );
 
              // check whether we have a CrsMatrix block (no blocked operator)
              RCP<const CrsMatrixWrap> crsMat = Teuchos::rcp_dynamic_cast<const CrsMatrixWrap>(mat);
              TEUCHOS_ASSERT(crsMat != Teuchos::null);
 
              // these are the thyra style maps of the matrix
              RCP<const Map> trowMap = mat->getRowMap();
              RCP<const Map> tcolMap = mat->getColMap();
              RCP<const Map> tdomMap = mat->getDomainMap();
 
              // get Xpetra maps
              RCP<const Map> xrowMap = getRangeMapExtractor()->getMap(i,false);
              RCP<const Map> xdomMap = getDomainMapExtractor()->getMap(j,false);
 
              // generate column map with Xpetra GIDs
              // We have to do this separately for each block since the column
              // map of each block might be different in the same block column
              Teuchos::RCP<Map> xcolMap = MapUtils::transformThyra2XpetraGIDs(
                    *tcolMap,
                    *tdomMap,
                    *xdomMap);
 
              // jump over empty blocks
              if(mat->getNodeNumEntries() == 0) continue;
 
              size_t maxNumEntries = mat->getNodeMaxNumRowEntries();
 
              size_t    numEntries;
              Array<GO> inds (maxNumEntries);
              Array<GO> inds2(maxNumEntries);
              Array<SC> vals (maxNumEntries);
 
              // loop over all rows and add entries
              for (size_t k = 0; k < mat->getNodeNumRows(); k++) {
                GlobalOrdinal rowTGID = trowMap->getGlobalElement(k);
                crsMat->getCrsMatrix()->getGlobalRowCopy(rowTGID, inds(), vals(), numEntries);
 
                // create new indices array
                for (size_t l = 0; l < numEntries; ++l) {
                  LocalOrdinal lid = tcolMap->getLocalElement(inds[l]);
                  inds2[l] = xcolMap->getGlobalElement(lid);
                }
 
                GlobalOrdinal rowXGID = xrowMap->getGlobalElement(k);
                sparse->insertGlobalValues(
                    rowXGID, inds2(0, numEntries),
                    vals(0, numEntries));
              }
            }
          }
        }
      }
 
      sparse->fillComplete(getFullDomainMap(), getFullRangeMap());
 
      TEUCHOS_TEST_FOR_EXCEPTION(sparse->getNodeNumEntries() != getNodeNumEntries(), Xpetra::Exceptions::RuntimeError,
                                 "BlockedCrsMatrix::Merge: Local number of entries of merged matrix does not coincide with local number of entries of blocked operator." );
 
      TEUCHOS_TEST_FOR_EXCEPTION(sparse->getGlobalNumEntries() != getGlobalNumEntries(), Xpetra::Exceptions::RuntimeError,
                                 "BlockedCrsMatrix::Merge: Global number of entries of merged matrix does not coincide with global number of entries of blocked operator." );
 
      return sparse;
    }
 
#ifdef HAVE_XPETRA_KOKKOS_REFACTOR
    typedef typename CrsMatrix::local_matrix_type local_matrix_type;
 
    local_matrix_type getLocalMatrix () const {
      if (Rows() == 1 && Cols () == 1) {
        return getMatrix(0,0)->getLocalMatrix();
      }
      throw Xpetra::Exceptions::RuntimeError("BlockedCrsMatrix::getLocalMatrix(): operation not supported.");
    }
#endif
 
#ifdef HAVE_XPETRA_THYRA
    Teuchos::RCP<Thyra::BlockedLinearOpBase<Scalar> > getThyraOperator() {
      Teuchos::RCP<Thyra::LinearOpBase<Scalar> > thOp =
          Xpetra::ThyraUtils<Scalar,LO,GO,Node>::toThyra(Teuchos::rcpFromRef(*this));
      TEUCHOS_TEST_FOR_EXCEPT(Teuchos::is_null(thOp));
 
      Teuchos::RCP<Thyra::BlockedLinearOpBase<Scalar> > thbOp =
          Teuchos::rcp_dynamic_cast<Thyra::BlockedLinearOpBase<Scalar> >(thOp);
      TEUCHOS_TEST_FOR_EXCEPT(Teuchos::is_null(thbOp));
      return thbOp;
    }
#endif
 
    void residual(const MultiVector & X,
                  const MultiVector & B,
                  MultiVector & R) const {
      using STS = Teuchos::ScalarTraits<Scalar>;
      R.update(STS::one(),B,STS::zero());
      this->apply (X, R, Teuchos::NO_TRANS, -STS::one(), STS::one());
    }
    
  private:
 
 
 
    void Add(const Matrix& A, const Scalar scalarA, Matrix& B, const Scalar scalarB) const {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::Add");
      TEUCHOS_TEST_FOR_EXCEPTION(!A.isFillComplete(), Xpetra::Exceptions::RuntimeError,
                                 "Matrix A is not completed");
      using Teuchos::Array;
      using Teuchos::ArrayView;
 
      B.scale(scalarB);
 
      Scalar one  = ScalarTraits<SC>::one();
      Scalar zero = ScalarTraits<SC>::zero();
 
      if (scalarA == zero)
        return;
 
      Teuchos::RCP<const Matrix> rcpA = Teuchos::rcpFromRef(A);
      Teuchos::RCP<const CrsMatrixWrap> rcpAwrap = Teuchos::rcp_dynamic_cast<const CrsMatrixWrap>(rcpA);
      TEUCHOS_TEST_FOR_EXCEPTION(rcpAwrap == Teuchos::null, Xpetra::Exceptions::BadCast,
                                       "BlockedCrsMatrix::Add: matrix A must be of type CrsMatrixWrap.");
      Teuchos::RCP<const CrsMatrix> crsA = rcpAwrap->getCrsMatrix();
 
      size_t maxNumEntries = crsA->getNodeMaxNumRowEntries();
 
      size_t    numEntries;
      Array<GO> inds(maxNumEntries);
      Array<SC> vals(maxNumEntries);
 
      RCP<const Map> rowMap = crsA->getRowMap();
      RCP<const Map> colMap = crsA->getColMap();
 
      ArrayView<const GO> rowGIDs = crsA->getRowMap()->getNodeElementList();
      for (size_t i = 0; i < crsA->getNodeNumRows(); i++) {
        GO row = rowGIDs[i];
        crsA->getGlobalRowCopy(row, inds(), vals(), numEntries);
 
        if (scalarA != one)
          for (size_t j = 0; j < numEntries; ++j)
            vals[j] *= scalarA;
 
        B.insertGlobalValues(row, inds(0, numEntries), vals(0, numEntries)); // insert should be ok, since blocks in BlockedCrsOpeartor do not overlap!
      }
    }
 
 
    // Default view is created after fillComplete()
    // Because ColMap might not be available before fillComplete().
    void CreateDefaultView() {
      XPETRA_MONITOR("XpetraBlockedCrsMatrix::CreateDefaultView");
 
      // Create default view
      this->defaultViewLabel_ = "point";
      this->CreateView(this->GetDefaultViewLabel(), getRangeMap(), getDomainMap());
 
      // Set current view
      this->currentViewLabel_ = this->GetDefaultViewLabel();
    }
 
  private:
    bool is_diagonal_;   // If we're diagonal a bunch of the extraction stuff should work
    Teuchos::RCP<const MapExtractor>      domainmaps_;        // full        domain map together with all partial domain maps
    Teuchos::RCP<const MapExtractor>      rangemaps_;         // full         range map together with all partial domain maps
 
    std::vector<Teuchos::RCP<Matrix> > blocks_;            // row major matrix block storage
#ifdef HAVE_XPETRA_THYRA
    Teuchos::RCP<const Thyra::BlockedLinearOpBase<Scalar> > thyraOp_; 
#endif
    bool                                   bRangeThyraMode_;  
    bool                                   bDomainThyraMode_; 
 
};
 
} //namespace Xpetra
 
#define XPETRA_BLOCKEDCRSMATRIX_SHORT
#endif /* XPETRA_BLOCKEDCRSMATRIX_HPP */