Xpetra_ReorderedBlockedCrsMatrix.hpp

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#ifndef XPETRA_REORDEREDBLOCKEDCRSMATRIX_HPP
#define XPETRA_REORDEREDBLOCKEDCRSMATRIX_HPP
 
#include <Kokkos_DefaultNode.hpp>
 
#include "Xpetra_ConfigDefs.hpp"
#include "Xpetra_Exceptions.hpp"
 
#include "Xpetra_MapUtils.hpp"
 
#include "Xpetra_BlockedMultiVector.hpp"
#include "Xpetra_ReorderedBlockedMultiVector.hpp"
#include "Xpetra_CrsMatrixWrap.hpp"
#include "Xpetra_BlockedCrsMatrix.hpp"
 
 
namespace Xpetra {
 
  typedef std::string viewLabel_t;
 
  template <class Scalar,
            class LocalOrdinal,
            class GlobalOrdinal,
            class Node = KokkosClassic::DefaultNode::DefaultNodeType>
  class ReorderedBlockedCrsMatrix :
    public BlockedCrsMatrix<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_REORDEREDBLOCKEDCRSMATRIX_SHORT
#include "Xpetra_UseShortNames.hpp"
 
  public:
 
 
 
 
    ReorderedBlockedCrsMatrix
        (Teuchos::RCP<const MapExtractor>& rangeMaps,
         Teuchos::RCP<const MapExtractor>& domainMaps,
         size_t npr,
         Teuchos::RCP<const Xpetra::BlockReorderManager> brm,
         Teuchos::RCP<const Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > bmat,
         Xpetra::ProfileType pftype = Xpetra::DynamicProfile)
  : Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node>(rangeMaps, domainMaps, npr,pftype) {
      brm_ = brm;
      fullOp_ = bmat;
    }
 
  //protected:
 
    virtual ~ReorderedBlockedCrsMatrix() {}
 
 
  private:
    Teuchos::RCP<const Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > mergeSubBlockMaps(Teuchos::RCP<const Xpetra::BlockReorderManager> brm) {
      RCP<const MapExtractor> fullRangeMapExtractor = fullOp_->getRangeMapExtractor();
 
      // number of sub blocks
      size_t numBlocks = brm->GetNumBlocks();
 
      Teuchos::RCP<const Map> map = Teuchos::null;
 
      if(numBlocks == 0) {
        // it is a leaf node
        Teuchos::RCP<const Xpetra::BlockReorderLeaf> leaf = Teuchos::rcp_dynamic_cast<const Xpetra::BlockReorderLeaf>(brm);
 
        // never extract Thyra style maps (since we have to merge them)
        map = fullRangeMapExtractor->getMap(Teuchos::as<size_t>(leaf->GetIndex()), false);
      } else {
        // initialize vector for sub maps
        std::vector<Teuchos::RCP<const Map> > subMaps (numBlocks, Teuchos::null);
 
        for(size_t i = 0; i < numBlocks; i++) {
          Teuchos::RCP<const Xpetra::BlockReorderManager> blkMgr = brm->GetBlock(Teuchos::as<int>(i));
          subMaps[i] = mergeSubBlockMaps(blkMgr);
          TEUCHOS_ASSERT(subMaps[i].is_null()==false);
        }
 
        map = MapUtils::concatenateMaps(subMaps);
      }
      TEUCHOS_ASSERT(map.is_null()==false);
      return map;
    }
 
  public:
 
 
 
    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
    {
 
      // Nested sub-operators should just use the provided X and B vectors
      if(fullOp_->getNodeNumRows() != this->getNodeNumRows()) {
        Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node>::apply(X,Y,mode,alpha,beta);
        return;
      }
 
      // Special handling for the top level of the nested operator
 
      // 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 bCopyResultX = false;
      bool bCopyResultY = false;
 
      // TODO create a nested ReorderedBlockedMultiVector out of a nested BlockedMultiVector!
      // probably not necessary, is it?
      // check whether X and B are blocked but not ReorderedBlocked operators
      /*if (refbX != Teuchos::null && fullOp_->getNodeNumRows() == this->getNodeNumRows()) {
        RCP<const ReorderedBlockedMultiVector> rbCheck = Teuchos::rcp_dynamic_cast<const ReorderedBlockedMultiVector>(refbX);
        if(rbCheck == Teuchos::null) {
          RCP<const BlockedMultiVector> bX =
            Teuchos::rcp_dynamic_cast<const BlockedMultiVector>(Xpetra::buildReorderedBlockedMultiVector(brm_, refbX));
          TEUCHOS_ASSERT(bX.is_null()==false);
          refbX.swap(bX);
        }
      }
      if (tmpbY != Teuchos::null && fullOp_->getNodeNumRows() == this->getNodeNumRows()) {
        RCP<ReorderedBlockedMultiVector> rbCheck = Teuchos::rcp_dynamic_cast<ReorderedBlockedMultiVector>(tmpbY);
        if(rbCheck == Teuchos::null) {
          RCP<BlockedMultiVector> bY =
              Teuchos::rcp_dynamic_cast<BlockedMultiVector>(Xpetra::buildReorderedBlockedMultiVector(brm_, tmpbY));
          TEUCHOS_ASSERT(bY.is_null()==false);
          tmpbY.swap(bY);
        }
      }*/
 
      // if X and B are not blocked, create a blocked version here and use the blocked vectors
      // for the internal (nested) apply call.
 
      // Check whether "this" operator is the reordered variant of the underlying fullOp_.
      // Note, that nested ReorderedBlockedCrsMatrices always have the same full operator "fullOp_"
      // stored underneath for being able to "translate" the block ids.
      if (refbX == Teuchos::null && fullOp_->getNodeNumRows() == this->getNodeNumRows())
      {
        // create a new (non-nested) blocked multi vector (using the blocked range map of fullOp_)
        RCP<const BlockedMap> blkRgMap = Teuchos::rcp_dynamic_cast<const BlockedMap>(fullOp_->getRangeMap());
        TEUCHOS_ASSERT(blkRgMap.is_null()==false);
        RCP<const BlockedMultiVector> bXtemp = Teuchos::rcp(new BlockedMultiVector(blkRgMap, refX));
        TEUCHOS_ASSERT(bXtemp.is_null()==false);
        RCP<const BlockedMultiVector> bX =
          Teuchos::rcp_dynamic_cast<const BlockedMultiVector>(Xpetra::buildReorderedBlockedMultiVector(brm_, bXtemp));
        TEUCHOS_ASSERT(bX.is_null()==false);
        refbX.swap(bX);
        bCopyResultX = true;
      }
 
      if (tmpbY == Teuchos::null && fullOp_->getNodeNumRows() == this->getNodeNumRows()) {
        // create a new (non-nested) blocked multi vector (using the blocked range map of fullOp_)
        RCP<const BlockedMap> blkRgMap = Teuchos::rcp_dynamic_cast<const BlockedMap>(fullOp_->getRangeMap());
        TEUCHOS_ASSERT(blkRgMap.is_null()==false);
        RCP<BlockedMultiVector> tmpbYtemp = Teuchos::rcp(new BlockedMultiVector(blkRgMap, tmpY));
        TEUCHOS_ASSERT(tmpbYtemp.is_null()==false);
        RCP<BlockedMultiVector> bY =
            Teuchos::rcp_dynamic_cast<BlockedMultiVector>(Xpetra::buildReorderedBlockedMultiVector(brm_, tmpbYtemp));
        TEUCHOS_ASSERT(bY.is_null()==false);
        tmpbY.swap(bY);
        bCopyResultY = true;
      }
 
      TEUCHOS_ASSERT(refbX.is_null()==false);
      TEUCHOS_ASSERT(tmpbY.is_null()==false);
 
      Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node>::apply(*refbX,*tmpbY,mode,alpha,beta);
 
      if (bCopyResultX == true) {
        RCP<const MultiVector> Xmerged = refbX->Merge();
        RCP<MultiVector>         nonconstX = Teuchos::rcp_const_cast<MultiVector>(refX);
        nonconstX->update(Teuchos::ScalarTraits<Scalar>::one(), *Xmerged, Teuchos::ScalarTraits<Scalar>::zero());
      }
      if (bCopyResultY == true) {
        RCP<      MultiVector> Ymerged = tmpbY->Merge();
        Y.update(Teuchos::ScalarTraits<Scalar>::one(), *Ymerged, Teuchos::ScalarTraits<Scalar>::zero());
      }
 
    }
 
    // @}
 
 
 
 
 
    Teuchos::RCP<const Xpetra::BlockReorderManager > getBlockReorderManager() { return brm_; }
 
    // @}
 
 
 
    std::string description() const                       { return "ReorderedBlockedCrsMatrix"; }
 
    void describe(Teuchos::FancyOStream& out, const Teuchos::EVerbosityLevel verbLevel = Teuchos::Describable::verbLevel_default) const {
      typedef Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> BlockedCrsMatrix;
 
      out << "Xpetra::ReorderedBlockedCrsMatrix: " << BlockedCrsMatrix::Rows() << " x " << BlockedCrsMatrix::Cols() << std::endl;
 
      if (BlockedCrsMatrix::isFillComplete()) {
        out << "ReorderedBlockMatrix is fillComplete" << std::endl;
 
        out << "fullRowMap" << std::endl;
        BlockedCrsMatrix::getRangeMap(0,false)->describe(out,verbLevel);
 
        //out << "fullColMap" << std::endl;
        //fullcolmap_->describe(out,verbLevel);
 
      } else {
        out << "Xpetra::ReorderedBlockedCrsMatrix is NOT fillComplete" << std::endl;
      }
 
      for (size_t r = 0; r < BlockedCrsMatrix::Rows(); ++r)
        for (size_t c = 0; c < BlockedCrsMatrix::Cols(); ++c) {
          out << "Block(" << r << "," << c << ")" << std::endl;
          BlockedCrsMatrix::getMatrix(r,c)->describe(out,verbLevel);
        }
    }
 
 
  private:
    Teuchos::RCP<const Xpetra::BlockReorderManager > brm_;
    Teuchos::RCP<const Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > fullOp_;
 
 
};
 
template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > mergeSubBlockMaps(Teuchos::RCP<const Xpetra::BlockReorderManager> brm, Teuchos::RCP<const Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > bmat, bool bThyraMode) {
  typedef Xpetra::MapUtils<LocalOrdinal,GlobalOrdinal,Node> MapUtils;
 
  // TODO distinguish between range and domain map extractor! provide MapExtractor as parameter!
  RCP<const Xpetra::MapExtractor<Scalar,LocalOrdinal,GlobalOrdinal,Node> > fullRangeMapExtractor = bmat->getRangeMapExtractor();
 
  // number of sub blocks
  size_t numBlocks = brm->GetNumBlocks();
 
  Teuchos::RCP<const Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node>> map = Teuchos::null;
 
  if(numBlocks == 0) {
    // it is a leaf node
    Teuchos::RCP<const Xpetra::BlockReorderLeaf> leaf = Teuchos::rcp_dynamic_cast<const Xpetra::BlockReorderLeaf>(brm);
 
    map = fullRangeMapExtractor->getMap(Teuchos::as<size_t>(leaf->GetIndex()), bThyraMode);
  } else {
    // initialize vector for sub maps
    std::vector<Teuchos::RCP<const Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > > subMaps (numBlocks, Teuchos::null);
 
    for(size_t i = 0; i < numBlocks; i++) {
      Teuchos::RCP<const Xpetra::BlockReorderManager> blkMgr = brm->GetBlock(Teuchos::as<int>(i));
      subMaps[i] = mergeSubBlockMaps(blkMgr,bmat,bThyraMode);
      TEUCHOS_ASSERT(subMaps[i].is_null()==false);
    }
 
#if 1
    // concatenate submaps
    // for Thyra mode this map isn't important
    Teuchos::RCP<const Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > fullMap = MapUtils::concatenateMaps(subMaps);
 
    // create new BlockedMap (either in Thyra Mode or Xpetra mode)
    map = Teuchos::rcp(new Xpetra::BlockedMap<LocalOrdinal,GlobalOrdinal,Node>(fullMap, subMaps, bThyraMode));
#else
    // TAW: 11/27/16 we just concatenate the submaps to one monolithic Map object.
    // Alternatively, we could create a new BlockedMap using the concatenated map and the submaps
    // However, the block smoothers only need the concatenated map for creating MultiVectors...
    // But for the Thyra mode version concatenating would not be ok for the whole map
    map = MapUtils::concatenateMaps(subMaps);
#endif
  }
  TEUCHOS_ASSERT(map.is_null()==false);
  return map;
}
 
template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const Xpetra::Matrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > mergeSubBlocks(Teuchos::RCP<const Xpetra::BlockReorderManager> rowMgr, Teuchos::RCP<const Xpetra::BlockReorderManager> colMgr, Teuchos::RCP<const Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > bmat) {
 
  typedef Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> Map;
  typedef Xpetra::MapUtils<LocalOrdinal,GlobalOrdinal,Node> MapUtils;
  typedef Xpetra::MapExtractor<Scalar,LocalOrdinal,GlobalOrdinal,Node> MapExtractor;
  typedef Xpetra::Matrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> Matrix;
  typedef Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> BlockedCrsMatrix;
  typedef Xpetra::ReorderedBlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> ReorderedBlockedCrsMatrix;
 
  // number of sub blocks
  size_t rowSz = rowMgr->GetNumBlocks();
  size_t colSz = colMgr->GetNumBlocks();
 
  Teuchos::RCP<BlockedCrsMatrix> rbmat = Teuchos::null;
 
  if(rowSz == 0 && colSz == 0) {
    // it is a leaf node
    Teuchos::RCP<const Xpetra::BlockReorderLeaf> rowleaf = Teuchos::rcp_dynamic_cast<const Xpetra::BlockReorderLeaf>(rowMgr);
    Teuchos::RCP<const Xpetra::BlockReorderLeaf> colleaf = Teuchos::rcp_dynamic_cast<const Xpetra::BlockReorderLeaf>(colMgr);
 
    // extract leaf node
    Teuchos::RCP<Matrix> mat = bmat->getMatrix(rowleaf->GetIndex(), colleaf->GetIndex());
 
    if (mat == Teuchos::null) return Teuchos::null;
 
    // check, whether leaf node is of type Xpetra::CrsMatrixWrap
    Teuchos::RCP<Xpetra::CrsMatrixWrap<Scalar, LocalOrdinal, GlobalOrdinal, Node> > matwrap = Teuchos::rcp_dynamic_cast<Xpetra::CrsMatrixWrap<Scalar, LocalOrdinal, GlobalOrdinal, Node> >(mat);
    if(matwrap != Teuchos::null) {
      // If the leaf node is of type Xpetra::CrsMatrixWrap wrap it into a 1x1 ReorderedBlockMatrix
      // with the corresponding MapExtractors for translating Thyra to Xpetra GIDs if necessary
      RCP<const MapExtractor> fullRangeMapExtractor = bmat->getRangeMapExtractor();
      Teuchos::RCP<const Map> submap = fullRangeMapExtractor->getMap(rowleaf->GetIndex(),false);
      std::vector<Teuchos::RCP<const Map> > rowSubMaps (1, submap);
      Teuchos::RCP<const MapExtractor> rgMapExtractor = Teuchos::rcp(new MapExtractor(submap, rowSubMaps, false));
 
      RCP<const MapExtractor> fullDomainMapExtractor = bmat->getDomainMapExtractor();
      Teuchos::RCP<const Map> submap2 = fullDomainMapExtractor->getMap(colleaf->GetIndex(),false);
      std::vector<Teuchos::RCP<const Map> > colSubMaps (1, submap2);
      Teuchos::RCP<const MapExtractor> doMapExtractor = Teuchos::rcp(new MapExtractor(submap2, colSubMaps, false));
 
      rbmat = Teuchos::rcp(new ReorderedBlockedCrsMatrix(rgMapExtractor,doMapExtractor, 33, rowMgr,bmat));
      rbmat->setMatrix(0,0,mat);
    } else {
      // If leaf node is already wrapped into a blocked matrix do not wrap it again.
      rbmat = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(mat);
      TEUCHOS_ASSERT(rbmat != Teuchos::null);
    }
    TEUCHOS_ASSERT(mat->getNodeNumEntries() == rbmat->getNodeNumEntries());
  } else {
    // create the map extractors
    // we cannot create block matrix in thyra mode since merged maps might not start with 0 GID
    Teuchos::RCP<const MapExtractor> rgMapExtractor = Teuchos::null;
    if(rowSz > 0) {
      std::vector<Teuchos::RCP<const Map> > rowSubMaps (rowSz, Teuchos::null);
      for(size_t i = 0; i < rowSz; i++) {
        Teuchos::RCP<const Xpetra::BlockReorderManager> rowSubMgr = rowMgr->GetBlock(Teuchos::as<int>(i));
        rowSubMaps[i] = mergeSubBlockMaps(rowSubMgr,bmat,false /*xpetra*/);
        TEUCHOS_ASSERT(rowSubMaps[i].is_null()==false);
      }
      Teuchos::RCP<const Map> rgMergedSubMaps = MapUtils::concatenateMaps(rowSubMaps);
      rgMapExtractor = Teuchos::rcp(new MapExtractor(rgMergedSubMaps, rowSubMaps, false));
    } else {
      Teuchos::RCP<const Xpetra::BlockReorderLeaf> rowleaf = Teuchos::rcp_dynamic_cast<const Xpetra::BlockReorderLeaf>(rowMgr);
      RCP<const MapExtractor> fullRangeMapExtractor = bmat->getRangeMapExtractor();
      // TODO think about Thyra style maps: we cannot use thyra style maps when recombining several blocks!!!
      // The GIDs might not start with 0 and may not be consecutive!
      Teuchos::RCP<const Map> submap = fullRangeMapExtractor->getMap(rowleaf->GetIndex(),false);
      std::vector<Teuchos::RCP<const Map> > rowSubMaps (1, submap);
      rgMapExtractor = Teuchos::rcp(new MapExtractor(submap, rowSubMaps, false));
    }
 
    Teuchos::RCP<const MapExtractor> doMapExtractor = Teuchos::null;
    if(colSz > 0) {
      std::vector<Teuchos::RCP<const Map> > colSubMaps (colSz, Teuchos::null);
      for(size_t j = 0; j < colSz; j++) {
        Teuchos::RCP<const Xpetra::BlockReorderManager> colSubMgr = colMgr->GetBlock(Teuchos::as<int>(j));
        colSubMaps[j] = mergeSubBlockMaps(colSubMgr,bmat,false/*xpetra*/);
        TEUCHOS_ASSERT(colSubMaps[j].is_null()==false);
      }
      Teuchos::RCP<const Map> doMergedSubMaps = MapUtils::concatenateMaps(colSubMaps);
      doMapExtractor = Teuchos::rcp(new MapExtractor(doMergedSubMaps, colSubMaps, false));
    } else {
      Teuchos::RCP<const Xpetra::BlockReorderLeaf> colleaf = Teuchos::rcp_dynamic_cast<const Xpetra::BlockReorderLeaf>(colMgr);
      RCP<const MapExtractor> fullDomainMapExtractor = bmat->getDomainMapExtractor();
      // TODO think about Thyra style maps: we cannot use thyra style maps when recombining several blocks!!!
      // The GIDs might not start with 0 and may not be consecutive!
      Teuchos::RCP<const Map> submap = fullDomainMapExtractor->getMap(colleaf->GetIndex(),false);
      std::vector<Teuchos::RCP<const Map> > colSubMaps (1, submap);
      doMapExtractor = Teuchos::rcp(new MapExtractor(submap, colSubMaps, false));
    }
 
    rbmat = Teuchos::rcp(new ReorderedBlockedCrsMatrix(rgMapExtractor,doMapExtractor, 33, rowMgr,bmat));
 
    size_t cntNNZ = 0;
 
    if (rowSz == 0 && colSz > 0) {
      for(size_t j = 0; j < colSz; j++) {
        Teuchos::RCP<const Xpetra::BlockReorderManager> colSubMgr = colMgr->GetBlock(Teuchos::as<int>(j));
        Teuchos::RCP<const Matrix> submat = mergeSubBlocks(rowMgr, colSubMgr, bmat);
        rbmat->setMatrix(0,j,Teuchos::rcp_const_cast<Matrix>(submat));
        if(submat != Teuchos::null) cntNNZ += submat->getNodeNumEntries();
      }
    } else if (rowSz > 0 && colSz == 0) {
      for(size_t i = 0; i < rowSz; i++) {
        Teuchos::RCP<const Xpetra::BlockReorderManager> rowSubMgr = rowMgr->GetBlock(Teuchos::as<int>(i));
        Teuchos::RCP<const Matrix> submat = mergeSubBlocks(rowSubMgr, colMgr, bmat);
        rbmat->setMatrix(i,0,Teuchos::rcp_const_cast<Matrix>(submat));
        if(submat != Teuchos::null) cntNNZ += submat->getNodeNumEntries();
      }
    } else {
      for(size_t i = 0; i < rowSz; i++) {
        Teuchos::RCP<const Xpetra::BlockReorderManager> rowSubMgr = rowMgr->GetBlock(Teuchos::as<int>(i));
        for(size_t j = 0; j < colSz; j++) {
          Teuchos::RCP<const Xpetra::BlockReorderManager> colSubMgr = colMgr->GetBlock(Teuchos::as<int>(j));
          Teuchos::RCP<const Matrix> submat = mergeSubBlocks(rowSubMgr, colSubMgr, bmat);
          rbmat->setMatrix(i,j,Teuchos::rcp_const_cast<Matrix>(submat));
          if(submat != Teuchos::null) cntNNZ += submat->getNodeNumEntries();
        }
      }
    }
    TEUCHOS_ASSERT(rbmat->getNodeNumEntries() == cntNNZ);
  }
  rbmat->fillComplete();
  return rbmat;
}
 
  //MapExtractor(const std::vector<RCP<const Map> >& maps, const std::vector<RCP<const Map> >& thyramaps);
 
template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const Xpetra::Matrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > mergeSubBlocksThyra(Teuchos::RCP<const Xpetra::BlockReorderManager> rowMgr, Teuchos::RCP<const Xpetra::BlockReorderManager> colMgr, Teuchos::RCP<const Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > bmat) {
 
  typedef Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node> Map;
  typedef Xpetra::MapExtractor<Scalar,LocalOrdinal,GlobalOrdinal,Node> MapExtractor;
  typedef Xpetra::Matrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> Matrix;
  typedef Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> BlockedCrsMatrix;
  typedef Xpetra::ReorderedBlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> ReorderedBlockedCrsMatrix;
 
  TEUCHOS_ASSERT(bmat->getRangeMapExtractor()->getThyraMode() == true);
  TEUCHOS_ASSERT(bmat->getDomainMapExtractor()->getThyraMode() == true);
 
  // number of sub blocks
  size_t rowSz = rowMgr->GetNumBlocks();
  size_t colSz = colMgr->GetNumBlocks();
 
  Teuchos::RCP<BlockedCrsMatrix> rbmat = Teuchos::null;
 
  if(rowSz == 0 && colSz == 0) {
    // it is a leaf node
    Teuchos::RCP<const Xpetra::BlockReorderLeaf> rowleaf = Teuchos::rcp_dynamic_cast<const Xpetra::BlockReorderLeaf>(rowMgr);
    Teuchos::RCP<const Xpetra::BlockReorderLeaf> colleaf = Teuchos::rcp_dynamic_cast<const Xpetra::BlockReorderLeaf>(colMgr);
 
    // this matrix uses Thyra style GIDs as global row, range, domain and column indices
    Teuchos::RCP<Matrix> mat = bmat->getMatrix(rowleaf->GetIndex(), colleaf->GetIndex());
 
    if(mat == Teuchos::null) return Teuchos::null; //std::cout << "Block " << rowleaf->GetIndex() << "," << colleaf->GetIndex() << " is zero" << std::endl;
 
    // check, whether leaf node is of type Xpetra::CrsMatrixWrap
    Teuchos::RCP<Xpetra::CrsMatrixWrap<Scalar, LocalOrdinal, GlobalOrdinal, Node> > matwrap = Teuchos::rcp_dynamic_cast<Xpetra::CrsMatrixWrap<Scalar, LocalOrdinal, GlobalOrdinal, Node> >(mat);
    if(matwrap != Teuchos::null) {
      // build map extractors
      RCP<const MapExtractor> fullRangeMapExtractor = bmat->getRangeMapExtractor();
      // extract Xpetra and Thyra based GIDs
      Teuchos::RCP<const Map> xpsubmap  = fullRangeMapExtractor->getMap(rowleaf->GetIndex(),false);
      Teuchos::RCP<const Map> thysubmap = fullRangeMapExtractor->getMap(rowleaf->GetIndex(),true);
      std::vector<Teuchos::RCP<const Map> > rowXpSubMaps (1, xpsubmap);
      std::vector<Teuchos::RCP<const Map> > rowTySubMaps (1, thysubmap);
      // use expert constructor
      Teuchos::RCP<const MapExtractor> rgMapExtractor = Teuchos::rcp(new MapExtractor(rowXpSubMaps, rowTySubMaps));
 
      RCP<const MapExtractor> fullDomainMapExtractor = bmat->getDomainMapExtractor();
      // extract Xpetra and Thyra based GIDs
      Teuchos::RCP<const Map> xpsubmap2 = fullDomainMapExtractor->getMap(colleaf->GetIndex(),false);
      Teuchos::RCP<const Map> tysubmap2 = fullDomainMapExtractor->getMap(colleaf->GetIndex(),true);
      std::vector<Teuchos::RCP<const Map> > colXpSubMaps (1, xpsubmap2);
      std::vector<Teuchos::RCP<const Map> > colTySubMaps (1, tysubmap2);
      // use expert constructor
      Teuchos::RCP<const MapExtractor> doMapExtractor = Teuchos::rcp(new MapExtractor(colXpSubMaps, colTySubMaps));
 
      // build reordered block operator
      rbmat = Teuchos::rcp(new ReorderedBlockedCrsMatrix(rgMapExtractor,doMapExtractor, 33, rowMgr,bmat));
      rbmat->setMatrix(0,0,mat);
    } else {
      // If leaf node is already wrapped into a blocked matrix do not wrap it again.
      rbmat = Teuchos::rcp_dynamic_cast<BlockedCrsMatrix>(mat);
      TEUCHOS_ASSERT(rbmat != Teuchos::null);
    }
    TEUCHOS_ASSERT(mat->getNodeNumEntries() == rbmat->getNodeNumEntries());
  } else {
    // create the map extractors
    // we cannot create block matrix in thyra mode since merged maps might not start with 0 GID
    Teuchos::RCP<const MapExtractor> rgMapExtractor = Teuchos::null;
    if(rowSz > 0) {
      std::vector<Teuchos::RCP<const Map> > rowXpSubMaps (rowSz, Teuchos::null);
      std::vector<Teuchos::RCP<const Map> > rowTySubMaps (rowSz, Teuchos::null);
      for(size_t i = 0; i < rowSz; i++) {
        Teuchos::RCP<const Xpetra::BlockReorderManager> rowSubMgr = rowMgr->GetBlock(Teuchos::as<int>(i));
        // extract Xpetra and Thyra based merged GIDs
        rowXpSubMaps[i] = mergeSubBlockMaps(rowSubMgr,bmat,false);
        rowTySubMaps[i] = mergeSubBlockMaps(rowSubMgr,bmat,true);
        TEUCHOS_ASSERT(rowXpSubMaps[i].is_null()==false);
        TEUCHOS_ASSERT(rowTySubMaps[i].is_null()==false);
      }
      // use expert constructor
      rgMapExtractor = Teuchos::rcp(new MapExtractor(rowXpSubMaps, rowTySubMaps));
    } else {
      Teuchos::RCP<const Xpetra::BlockReorderLeaf> rowleaf = Teuchos::rcp_dynamic_cast<const Xpetra::BlockReorderLeaf>(rowMgr);
      RCP<const MapExtractor> fullRangeMapExtractor = bmat->getRangeMapExtractor();
      // extract Xpetra and Thyra based GIDs
      Teuchos::RCP<const Map> xpsubmap  = fullRangeMapExtractor->getMap(rowleaf->GetIndex(),false);
      Teuchos::RCP<const Map> thysubmap = fullRangeMapExtractor->getMap(rowleaf->GetIndex(),true);
      std::vector<Teuchos::RCP<const Map> > rowXpSubMaps (1, xpsubmap);
      std::vector<Teuchos::RCP<const Map> > rowTySubMaps (1, thysubmap);
      // use expert constructor
      rgMapExtractor = Teuchos::rcp(new MapExtractor(rowXpSubMaps, rowTySubMaps));
    }
 
    Teuchos::RCP<const MapExtractor> doMapExtractor = Teuchos::null;
    if(colSz > 0) {
      std::vector<Teuchos::RCP<const Map> > colXpSubMaps (colSz, Teuchos::null);
      std::vector<Teuchos::RCP<const Map> > colTySubMaps (colSz, Teuchos::null);
      for(size_t j = 0; j < colSz; j++) {
        Teuchos::RCP<const Xpetra::BlockReorderManager> colSubMgr = colMgr->GetBlock(Teuchos::as<int>(j));
        // extract Xpetra and Thyra based merged GIDs
        colXpSubMaps[j] = mergeSubBlockMaps(colSubMgr,bmat,false);
        colTySubMaps[j] = mergeSubBlockMaps(colSubMgr,bmat,true);
        TEUCHOS_ASSERT(colXpSubMaps[j].is_null()==false);
        TEUCHOS_ASSERT(colTySubMaps[j].is_null()==false);
      }
      // use expert constructor
      doMapExtractor = Teuchos::rcp(new MapExtractor(colXpSubMaps,colTySubMaps));
    } else {
      Teuchos::RCP<const Xpetra::BlockReorderLeaf> colleaf = Teuchos::rcp_dynamic_cast<const Xpetra::BlockReorderLeaf>(colMgr);
      RCP<const MapExtractor> fullDomainMapExtractor = bmat->getDomainMapExtractor();
      // extract Xpetra and Thyra based GIDs
      Teuchos::RCP<const Map> xpsubmap = fullDomainMapExtractor->getMap(colleaf->GetIndex(),false);
      Teuchos::RCP<const Map> tysubmap = fullDomainMapExtractor->getMap(colleaf->GetIndex(),true);
      std::vector<Teuchos::RCP<const Map> > colXpSubMaps (1, xpsubmap);
      std::vector<Teuchos::RCP<const Map> > colTySubMaps (1, tysubmap);
      // use expert constructor
      doMapExtractor = Teuchos::rcp(new MapExtractor(colXpSubMaps, colTySubMaps));
    }
 
    // TODO matrix should have both rowMgr and colMgr??
    rbmat = Teuchos::rcp(new ReorderedBlockedCrsMatrix(rgMapExtractor,doMapExtractor, 33, rowMgr,bmat));
 
    size_t cntNNZ = 0;
 
    if (rowSz == 0 && colSz > 0) {
      for(size_t j = 0; j < colSz; j++) {
        Teuchos::RCP<const Xpetra::BlockReorderManager> colSubMgr = colMgr->GetBlock(Teuchos::as<int>(j));
        Teuchos::RCP<const Matrix> submat = mergeSubBlocksThyra(rowMgr, colSubMgr, bmat);
        rbmat->setMatrix(0,j,Teuchos::rcp_const_cast<Matrix>(submat));
        if(submat != Teuchos::null) cntNNZ += submat->getNodeNumEntries();
      }
    } else if (rowSz > 0 && colSz == 0) {
      for(size_t i = 0; i < rowSz; i++) {
        Teuchos::RCP<const Xpetra::BlockReorderManager> rowSubMgr = rowMgr->GetBlock(Teuchos::as<int>(i));
        Teuchos::RCP<const Matrix> submat = mergeSubBlocksThyra(rowSubMgr, colMgr, bmat);
        rbmat->setMatrix(i,0,Teuchos::rcp_const_cast<Matrix>(submat));
        if(submat != Teuchos::null) cntNNZ += submat->getNodeNumEntries();
      }
    } else {
      for(size_t i = 0; i < rowSz; i++) {
        Teuchos::RCP<const Xpetra::BlockReorderManager> rowSubMgr = rowMgr->GetBlock(Teuchos::as<int>(i));
        for(size_t j = 0; j < colSz; j++) {
          Teuchos::RCP<const Xpetra::BlockReorderManager> colSubMgr = colMgr->GetBlock(Teuchos::as<int>(j));
          Teuchos::RCP<const Matrix> submat = mergeSubBlocksThyra(rowSubMgr, colSubMgr, bmat);
          rbmat->setMatrix(i,j,Teuchos::rcp_const_cast<Matrix>(submat));
          if(submat != Teuchos::null) cntNNZ += submat->getNodeNumEntries();
        }
      }
    }
    TEUCHOS_ASSERT(rbmat->getNodeNumEntries() == cntNNZ);
  }
 
  rbmat->fillComplete();
  return rbmat;
}
 
template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const Xpetra::Matrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > buildReorderedBlockedCrsMatrix(Teuchos::RCP<const Xpetra::BlockReorderManager> brm, Teuchos::RCP<const Xpetra::BlockedCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > bmat) {
  TEUCHOS_ASSERT(bmat->getRangeMapExtractor()->getThyraMode() == bmat->getDomainMapExtractor()->getThyraMode());
  Teuchos::RCP<const Xpetra::Matrix<Scalar,LocalOrdinal,GlobalOrdinal,Node> > rbmat = Teuchos::null;
  if(bmat->getRangeMapExtractor()->getThyraMode() == false) {
    rbmat = mergeSubBlocks(brm, brm, bmat);
  } else {
    rbmat = mergeSubBlocksThyra(brm, brm, bmat);
  }
 
  // TAW, 6/7/2016: rbmat might be Teuchos::null for empty blocks!
  return rbmat;
}
 
} //namespace Xpetra
 
#define XPETRA_REORDEREDBLOCKEDCRSMATRIX_SHORT
#endif /* XPETRA_REORDEREDBLOCKEDCRSMATRIX_HPP */