Tpetra_CrsMatrix_def.hpp

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// @HEADER
// *****************************************************************************
//          Tpetra: Templated Linear Algebra Services Package
//
// Copyright 2008 NTESS and the Tpetra contributors.
// SPDX-License-Identifier: BSD-3-Clause
// *****************************************************************************
// @HEADER

#ifndef TPETRA_CRSMATRIX_DEF_HPP
#define TPETRA_CRSMATRIX_DEF_HPP


#include "Tpetra_Import_Util.hpp"
#include "Tpetra_Import_Util2.hpp"
#include "Tpetra_RowMatrix.hpp"
#include "Tpetra_LocalCrsMatrixOperator.hpp"
#include "Tpetra_computeRowAndColumnOneNorms.hpp"
#include "Tpetra_Details_EquilibrationInfo.hpp"

#include "Tpetra_Details_Behavior.hpp"
#include "Tpetra_Details_castAwayConstDualView.hpp"
#include "Tpetra_Details_computeOffsets.hpp"
#include "Tpetra_Details_copyOffsets.hpp"
#include "Tpetra_Details_createMirrorView.hpp"
#include "Tpetra_Details_gathervPrint.hpp"
#include "Tpetra_Details_getDiagCopyWithoutOffsets.hpp"
#include "Tpetra_Details_leftScaleLocalCrsMatrix.hpp"
#include "Tpetra_Details_Profiling.hpp"
#include "Tpetra_Details_rightScaleLocalCrsMatrix.hpp"
#include "Tpetra_Details_ScalarViewTraits.hpp"
#include "Tpetra_Details_copyConvert.hpp"
#include "Tpetra_Details_iallreduce.hpp"
#include "Tpetra_Details_getEntryOnHost.hpp"
#include "Tpetra_Details_packCrsMatrix.hpp"
#include "Tpetra_Details_unpackCrsMatrixAndCombine.hpp"
#include "Tpetra_Details_crsUtils.hpp"
#include "Teuchos_FancyOStream.hpp"
#include "Teuchos_RCP.hpp"
#include "Teuchos_DataAccess.hpp"
#include "Teuchos_SerialDenseMatrix.hpp"  // unused here, could delete
#include "KokkosBlas1_scal.hpp"
#include "KokkosSparse_getDiagCopy.hpp"
#include "KokkosSparse_spmv.hpp"
#include "Tpetra_computeRowAndColumnOneNorms_decl.hpp"

#include <memory>
#include <sstream>
#include <typeinfo>
#include <utility>
#include <vector>

namespace Tpetra {

namespace {  // (anonymous)

template <class T, class BinaryFunction>
T atomic_binary_function_update(T* const dest,
                                const T& inputVal,
                                BinaryFunction f) {
  T oldVal = *dest;
  T assume;

  // NOTE (mfh 30 Nov 2015) I do NOT need a fence here for IBM
  // POWER architectures, because 'newval' depends on 'assume',
  // which depends on 'oldVal', which depends on '*dest'.  This
  // sets up a chain of read dependencies that should ensure
  // correct behavior given a sane memory model.
  do {
    assume   = oldVal;
    T newVal = f(assume, inputVal);
    oldVal   = Kokkos::atomic_compare_exchange(dest, assume, newVal);
  } while (assume != oldVal);

  return oldVal;
}
}  // namespace

//
// Users must never rely on anything in the Details namespace.
//
namespace Details {

template <class Scalar>
struct AbsMax {
  Scalar operator()(const Scalar& x, const Scalar& y) {
    typedef Teuchos::ScalarTraits<Scalar> STS;
    return std::max(STS::magnitude(x), STS::magnitude(y));
  }
};

}  // namespace Details
}  // namespace Tpetra

namespace Tpetra {

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const Teuchos::RCP<const map_type>& rowMap,
              size_t maxNumEntriesPerRow,
              const Teuchos::RCP<Teuchos::ParameterList>& params)
  : dist_object_type(rowMap) {
  const char tfecfFuncName[] =
      "CrsMatrix(RCP<const Map>, size_t "
      "[, RCP<ParameterList>]): ";
  Teuchos::RCP<crs_graph_type> graph;
  try {
    graph = Teuchos::rcp(new crs_graph_type(rowMap, maxNumEntriesPerRow,
                                            params));
  } catch (std::exception& e) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsGraph constructor (RCP<const Map>, "
                                          "size_t [, RCP<ParameterList>]) threw an exception: "
                                              << e.what());
  }
  // myGraph_ not null means that the matrix owns the graph.  That's
  // different than the const CrsGraph constructor, where the matrix
  // does _not_ own the graph.
  myGraph_     = graph;
  staticGraph_ = myGraph_;
  resumeFill(params);
  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const Teuchos::RCP<const map_type>& rowMap,
              const Teuchos::ArrayView<const size_t>& numEntPerRowToAlloc,
              const Teuchos::RCP<Teuchos::ParameterList>& params)
  : dist_object_type(rowMap) {
  const char tfecfFuncName[] =
      "CrsMatrix(RCP<const Map>, "
      "ArrayView<const size_t>[, RCP<ParameterList>]): ";
  Teuchos::RCP<crs_graph_type> graph;
  try {
    using Teuchos::rcp;
    graph = rcp(new crs_graph_type(rowMap, numEntPerRowToAlloc,
                                   params));
  } catch (std::exception& e) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsGraph constructor "
                                          "(RCP<const Map>, ArrayView<const size_t>"
                                          "[, RCP<ParameterList>]) threw an exception: "
                                              << e.what());
  }
  // myGraph_ not null means that the matrix owns the graph.  That's
  // different than the const CrsGraph constructor, where the matrix
  // does _not_ own the graph.
  myGraph_     = graph;
  staticGraph_ = graph;
  resumeFill(params);
  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const Teuchos::RCP<const map_type>& rowMap,
              const Teuchos::RCP<const map_type>& colMap,
              const size_t maxNumEntPerRow,
              const Teuchos::RCP<Teuchos::ParameterList>& params)
  : dist_object_type(rowMap) {
  const char tfecfFuncName[] =
      "CrsMatrix(RCP<const Map>, "
      "RCP<const Map>, size_t[, RCP<ParameterList>]): ";
  const char suffix[] =
      "  Please report this bug to the Tpetra developers.";

  // An artifact of debugging something a while back.
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!staticGraph_.is_null(), std::logic_error,
                                        "staticGraph_ is not null at the beginning of the constructor."
                                            << suffix);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!myGraph_.is_null(), std::logic_error,
                                        "myGraph_ is not null at the beginning of the constructor."
                                            << suffix);
  Teuchos::RCP<crs_graph_type> graph;
  try {
    graph = Teuchos::rcp(new crs_graph_type(rowMap, colMap,
                                            maxNumEntPerRow,
                                            params));
  } catch (std::exception& e) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsGraph constructor (RCP<const Map>, "
                                          "RCP<const Map>, size_t[, RCP<ParameterList>]) threw an "
                                          "exception: "
                                              << e.what());
  }
  // myGraph_ not null means that the matrix owns the graph.  That's
  // different than the const CrsGraph constructor, where the matrix
  // does _not_ own the graph.
  myGraph_     = graph;
  staticGraph_ = myGraph_;
  resumeFill(params);
  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const Teuchos::RCP<const map_type>& rowMap,
              const Teuchos::RCP<const map_type>& colMap,
              const Teuchos::ArrayView<const size_t>& numEntPerRowToAlloc,
              const Teuchos::RCP<Teuchos::ParameterList>& params)
  : dist_object_type(rowMap) {
  const char tfecfFuncName[] =
      "CrsMatrix(RCP<const Map>, RCP<const Map>, "
      "ArrayView<const size_t>[, RCP<ParameterList>]): ";
  Teuchos::RCP<crs_graph_type> graph;
  try {
    graph = Teuchos::rcp(new crs_graph_type(rowMap, colMap,
                                            numEntPerRowToAlloc,
                                            params));
  } catch (std::exception& e) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsGraph constructor (RCP<const Map>, "
                                          "RCP<const Map>, ArrayView<const size_t>[, "
                                          "RCP<ParameterList>]) threw an exception: "
                                              << e.what());
  }
  // myGraph_ not null means that the matrix owns the graph.  That's
  // different than the const CrsGraph constructor, where the matrix
  // does _not_ own the graph.
  myGraph_     = graph;
  staticGraph_ = graph;
  resumeFill(params);
  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const Teuchos::RCP<const crs_graph_type>& graph,
              const Teuchos::RCP<Teuchos::ParameterList>& /* params */)
  : dist_object_type(graph->getRowMap())
  , staticGraph_(graph)
  , storageStatus_(Details::STORAGE_1D_PACKED) {
  using std::endl;
  typedef typename local_matrix_device_type::values_type values_type;
  const char tfecfFuncName[] =
      "CrsMatrix(RCP<const CrsGraph>[, "
      "RCP<ParameterList>]): ";
  const bool verbose = Details::Behavior::verbose("CrsMatrix");

  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "CrsMatrix(graph,params)");
    std::ostringstream os;
    os << *prefix << "Start" << endl;
    std::cerr << os.str();
  }

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(graph.is_null(), std::runtime_error, "Input graph is null.");
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!graph->isFillComplete(), std::runtime_error,
                                        "Input graph "
                                        "is not fill complete. You must call fillComplete on the "
                                        "graph before using it to construct a CrsMatrix.  Note that "
                                        "calling resumeFill on the graph makes it not fill complete, "
                                        "even if you had previously called fillComplete.  In that "
                                        "case, you must call fillComplete on the graph again.");

  // The graph is fill complete, so it is locally indexed and has a
  // fixed structure.  This means we can allocate the (1-D) array of
  // values and build the local matrix right now.  Note that the
  // local matrix's number of columns comes from the column Map, not
  // the domain Map.

  const size_t numEnt = graph->lclIndsPacked_wdv.extent(0);
  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Allocate values: " << numEnt << endl;
    std::cerr << os.str();
  }

  values_type val("Tpetra::CrsMatrix::values", numEnt);
  valuesPacked_wdv   = values_wdv_type(val);
  valuesUnpacked_wdv = valuesPacked_wdv;

  checkInternalState();

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Done" << endl;
    std::cerr << os.str();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>& matrix,
              const Teuchos::RCP<const crs_graph_type>& graph,
              const Teuchos::RCP<Teuchos::ParameterList>& params)
  : dist_object_type(graph->getRowMap())
  , staticGraph_(graph)
  , storageStatus_(matrix.storageStatus_) {
  const char tfecfFuncName[] =
      "CrsMatrix(RCP<const CrsGraph>, "
      "local_matrix_device_type::values_type, "
      "[,RCP<ParameterList>]): ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(graph.is_null(), std::runtime_error, "Input graph is null.");
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!graph->isFillComplete(), std::runtime_error,
                                        "Input graph "
                                        "is not fill complete. You must call fillComplete on the "
                                        "graph before using it to construct a CrsMatrix.  Note that "
                                        "calling resumeFill on the graph makes it not fill complete, "
                                        "even if you had previously called fillComplete.  In that "
                                        "case, you must call fillComplete on the graph again.");

  size_t numValuesPacked = graph->lclIndsPacked_wdv.extent(0);
  valuesPacked_wdv       = values_wdv_type(matrix.valuesPacked_wdv, 0, numValuesPacked);

  size_t numValuesUnpacked = graph->lclIndsUnpacked_wdv.extent(0);
  valuesUnpacked_wdv       = values_wdv_type(matrix.valuesUnpacked_wdv, 0, numValuesUnpacked);

  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const Teuchos::RCP<const crs_graph_type>& graph,
              const typename local_matrix_device_type::values_type& values,
              const Teuchos::RCP<Teuchos::ParameterList>& /* params */)
  : dist_object_type(graph->getRowMap())
  , staticGraph_(graph)
  , storageStatus_(Details::STORAGE_1D_PACKED) {
  const char tfecfFuncName[] =
      "CrsMatrix(RCP<const CrsGraph>, "
      "local_matrix_device_type::values_type, "
      "[,RCP<ParameterList>]): ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(graph.is_null(), std::runtime_error, "Input graph is null.");
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!graph->isFillComplete(), std::runtime_error,
                                        "Input graph "
                                        "is not fill complete. You must call fillComplete on the "
                                        "graph before using it to construct a CrsMatrix.  Note that "
                                        "calling resumeFill on the graph makes it not fill complete, "
                                        "even if you had previously called fillComplete.  In that "
                                        "case, you must call fillComplete on the graph again.");

  // The graph is fill complete, so it is locally indexed and has a
  // fixed structure.  This means we can allocate the (1-D) array of
  // values and build the local matrix right now.  Note that the
  // local matrix's number of columns comes from the column Map, not
  // the domain Map.

  valuesPacked_wdv   = values_wdv_type(values);
  valuesUnpacked_wdv = valuesPacked_wdv;

  // FIXME (22 Jun 2016) I would very much like to get rid of
  // k_values1D_ at some point.  I find it confusing to have all
  // these extra references lying around.
  // KDDKDD ALMOST THERE, MARK!
  //    k_values1D_ = valuesUnpacked_wdv.getDeviceView(Access::ReadWrite);

  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const Teuchos::RCP<const map_type>& rowMap,
              const Teuchos::RCP<const map_type>& colMap,
              const typename local_graph_device_type::row_map_type& rowPointers,
              const typename local_graph_device_type::entries_type::non_const_type& columnIndices,
              const typename local_matrix_device_type::values_type& values,
              const Teuchos::RCP<Teuchos::ParameterList>& params)
  : dist_object_type(rowMap)
  , storageStatus_(Details::STORAGE_1D_PACKED) {
  using Details::getEntryOnHost;
  using std::endl;
  using Teuchos::RCP;
  const char tfecfFuncName[] =
      "Tpetra::CrsMatrix(RCP<const Map>, "
      "RCP<const Map>, ptr, ind, val[, params]): ";
  const char suffix[] =
      ".  Please report this bug to the Tpetra developers.";
  const bool debug   = Details::Behavior::debug("CrsMatrix");
  const bool verbose = Details::Behavior::verbose("CrsMatrix");

  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix(
        "CrsMatrix", "CrsMatrix(rowMap,colMap,ptr,ind,val[,params])");
    std::ostringstream os;
    os << *prefix << "Start" << endl;
    std::cerr << os.str();
  }

  // Check the user's input.  Note that this might throw only on
  // some processes but not others, causing deadlock.  We prefer
  // deadlock due to exceptions to segfaults, because users can
  // catch exceptions.
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(values.extent(0) != columnIndices.extent(0),
                                        std::invalid_argument, "values.extent(0)=" << values.extent(0) << " != columnIndices.extent(0) = " << columnIndices.extent(0) << ".");
  if (debug && rowPointers.extent(0) != 0) {
    const size_t numEnt =
        getEntryOnHost(rowPointers, rowPointers.extent(0) - 1);
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(numEnt != size_t(columnIndices.extent(0)) ||
                                              numEnt != size_t(values.extent(0)),
                                          std::invalid_argument,
                                          "Last entry of rowPointers says that "
                                          "the matrix has "
                                              << numEnt << " entr"
                                              << (numEnt != 1 ? "ies" : "y") << ", but the dimensions of "
                                                                                "columnIndices and values don't match this.  "
                                                                                "columnIndices.extent(0)="
                                              << columnIndices.extent(0)
                                              << " and values.extent(0)=" << values.extent(0) << ".");
  }

  RCP<crs_graph_type> graph;
  try {
    graph = Teuchos::rcp(new crs_graph_type(rowMap, colMap, rowPointers,
                                            columnIndices, params));
  } catch (std::exception& e) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsGraph constructor (RCP<const Map>, "
                                          "RCP<const Map>, ptr, ind[, params]) threw an exception: "
                                              << e.what());
  }
  // The newly created CrsGraph _must_ have a local graph at this
  // point.  We don't really care whether CrsGraph's constructor
  // deep-copies or shallow-copies the input, but the dimensions
  // have to be right.  That's how we tell whether the CrsGraph has
  // a local graph.
  auto lclGraph = graph->getLocalGraphDevice();
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(lclGraph.row_map.extent(0) != rowPointers.extent(0) ||
                                            lclGraph.entries.extent(0) != columnIndices.extent(0),
                                        std::logic_error,
                                        "CrsGraph's constructor (rowMap, colMap, ptr, "
                                        "ind[, params]) did not set the local graph correctly."
                                            << suffix);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(lclGraph.entries.extent(0) != values.extent(0),
                                        std::logic_error,
                                        "CrsGraph's constructor (rowMap, colMap, ptr, ind[, "
                                        "params]) did not set the local graph correctly.  "
                                        "lclGraph.entries.extent(0) = "
                                            << lclGraph.entries.extent(0)
                                            << " != values.extent(0) = " << values.extent(0) << suffix);

  // myGraph_ not null means that the matrix owns the graph.  This
  // is true because the column indices come in as nonconst,
  // implying shared ownership.
  myGraph_     = graph;
  staticGraph_ = graph;

  // The graph may not be fill complete yet.  However, it is locally
  // indexed (since we have a column Map) and has a fixed structure
  // (due to the input arrays).  This means we can allocate the
  // (1-D) array of values and build the local matrix right now.
  // Note that the local matrix's number of columns comes from the
  // column Map, not the domain Map.

  valuesPacked_wdv   = values_wdv_type(values);
  valuesUnpacked_wdv = valuesPacked_wdv;

  // FIXME (22 Jun 2016) I would very much like to get rid of
  // k_values1D_ at some point.  I find it confusing to have all
  // these extra references lying around.
  //    this->k_values1D_ = valuesPacked_wdv.getDeviceView(Access::ReadWrite);

  checkInternalState();
  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Done" << endl;
    std::cerr << os.str();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const Teuchos::RCP<const map_type>& rowMap,
              const Teuchos::RCP<const map_type>& colMap,
              const Teuchos::ArrayRCP<size_t>& ptr,
              const Teuchos::ArrayRCP<LocalOrdinal>& ind,
              const Teuchos::ArrayRCP<Scalar>& val,
              const Teuchos::RCP<Teuchos::ParameterList>& params)
  : dist_object_type(rowMap)
  , storageStatus_(Details::STORAGE_1D_PACKED) {
  using Kokkos::Compat::getKokkosViewDeepCopy;
  using Teuchos::av_reinterpret_cast;
  using Teuchos::RCP;
  using values_type = typename local_matrix_device_type::values_type;
  using IST         = impl_scalar_type;
  const char tfecfFuncName[] =
      "Tpetra::CrsMatrix(RCP<const Map>, "
      "RCP<const Map>, ptr, ind, val[, params]): ";

  RCP<crs_graph_type> graph;
  try {
    graph = Teuchos::rcp(new crs_graph_type(rowMap, colMap, ptr,
                                            ind, params));
  } catch (std::exception& e) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsGraph constructor (RCP<const Map>, "
                                          "RCP<const Map>, ArrayRCP<size_t>, ArrayRCP<LocalOrdinal>[, "
                                          "RCP<ParameterList>]) threw an exception: "
                                              << e.what());
  }
  // myGraph_ not null means that the matrix owns the graph.  This
  // is true because the column indices come in as nonconst,
  // implying shared ownership.
  myGraph_     = graph;
  staticGraph_ = graph;

  // The graph may not be fill complete yet.  However, it is locally
  // indexed (since we have a column Map) and has a fixed structure
  // (due to the input arrays).  This means we can allocate the
  // (1-D) array of values and build the local matrix right now.
  // Note that the local matrix's number of columns comes from the
  // column Map, not the domain Map.

  // The graph _must_ have a local graph at this point.  We don't
  // really care whether CrsGraph's constructor deep-copies or
  // shallow-copies the input, but the dimensions have to be right.
  // That's how we tell whether the CrsGraph has a local graph.
  auto lclGraph = staticGraph_->getLocalGraphDevice();
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(size_t(lclGraph.row_map.extent(0)) != size_t(ptr.size()) ||
                                            size_t(lclGraph.entries.extent(0)) != size_t(ind.size()),
                                        std::logic_error,
                                        "CrsGraph's constructor (rowMap, colMap, "
                                        "ptr, ind[, params]) did not set the local graph correctly.  "
                                        "Please report this bug to the Tpetra developers.");

  values_type valIn =
      getKokkosViewDeepCopy<device_type>(av_reinterpret_cast<IST>(val()));
  valuesPacked_wdv   = values_wdv_type(valIn);
  valuesUnpacked_wdv = valuesPacked_wdv;

  // FIXME (22 Jun 2016) I would very much like to get rid of
  // k_values1D_ at some point.  I find it confusing to have all
  // these extra references lying around.
  //    this->k_values1D_ = valuesPacked_wdv.getDeviceView(Access::ReadWrite);

  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const Teuchos::RCP<const map_type>& rowMap,
              const Teuchos::RCP<const map_type>& colMap,
              const local_matrix_device_type& lclMatrix,
              const Teuchos::RCP<Teuchos::ParameterList>& params)
  : dist_object_type(rowMap)
  , storageStatus_(Details::STORAGE_1D_PACKED)
  , fillComplete_(true) {
  const char tfecfFuncName[] =
      "Tpetra::CrsMatrix(RCP<const Map>, "
      "RCP<const Map>, local_matrix_device_type[, RCP<ParameterList>]): ";
  const char suffix[] =
      "  Please report this bug to the Tpetra developers.";

  Teuchos::RCP<crs_graph_type> graph;
  try {
    graph = Teuchos::rcp(new crs_graph_type(rowMap, colMap,
                                            lclMatrix.graph, params));
  } catch (std::exception& e) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsGraph constructor (RCP<const Map>, "
                                          "RCP<const Map>, local_graph_device_type[, RCP<ParameterList>]) threw an "
                                          "exception: "
                                              << e.what());
  }
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!graph->isFillComplete(), std::logic_error,
                                        "CrsGraph constructor (RCP"
                                        "<const Map>, RCP<const Map>, local_graph_device_type[, RCP<ParameterList>]) "
                                        "did not produce a fill-complete graph.  Please report this bug to the "
                                        "Tpetra developers.");
  // myGraph_ not null means that the matrix owns the graph.  This
  // is true because the column indices come in as nonconst through
  // the matrix, implying shared ownership.
  myGraph_     = graph;
  staticGraph_ = graph;

  valuesPacked_wdv   = values_wdv_type(lclMatrix.values);
  valuesUnpacked_wdv = valuesPacked_wdv;

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(isFillActive(), std::logic_error,
                                        "At the end of a CrsMatrix constructor that should produce "
                                        "a fillComplete matrix, isFillActive() is true."
                                            << suffix);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!isFillComplete(), std::logic_error,
                                        "At the end of a "
                                        "CrsMatrix constructor that should produce a fillComplete "
                                        "matrix, isFillComplete() is false."
                                            << suffix);
  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const local_matrix_device_type& lclMatrix,
              const Teuchos::RCP<const map_type>& rowMap,
              const Teuchos::RCP<const map_type>& colMap,
              const Teuchos::RCP<const map_type>& domainMap,
              const Teuchos::RCP<const map_type>& rangeMap,
              const Teuchos::RCP<Teuchos::ParameterList>& params)
  : dist_object_type(rowMap)
  , storageStatus_(Details::STORAGE_1D_PACKED)
  , fillComplete_(true) {
  const char tfecfFuncName[] =
      "Tpetra::CrsMatrix(RCP<const Map>, "
      "RCP<const Map>, RCP<const Map>, RCP<const Map>, "
      "local_matrix_device_type[, RCP<ParameterList>]): ";
  const char suffix[] =
      "  Please report this bug to the Tpetra developers.";

  Teuchos::RCP<crs_graph_type> graph;
  try {
    graph = Teuchos::rcp(new crs_graph_type(lclMatrix.graph, rowMap, colMap,
                                            domainMap, rangeMap, params));
  } catch (std::exception& e) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsGraph constructor (RCP<const Map>, "
                                          "RCP<const Map>, RCP<const Map>, RCP<const Map>, local_graph_device_type[, "
                                          "RCP<ParameterList>]) threw an exception: "
                                              << e.what());
  }
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!graph->isFillComplete(), std::logic_error,
                                        "CrsGraph "
                                        "constructor (RCP<const Map>, RCP<const Map>, RCP<const Map>, "
                                        "RCP<const Map>, local_graph_device_type[, RCP<ParameterList>]) did "
                                        "not produce a fillComplete graph."
                                            << suffix);
  // myGraph_ not null means that the matrix owns the graph.  This
  // is true because the column indices come in as nonconst through
  // the matrix, implying shared ownership.
  myGraph_     = graph;
  staticGraph_ = graph;

  valuesPacked_wdv   = values_wdv_type(lclMatrix.values);
  valuesUnpacked_wdv = valuesPacked_wdv;

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(isFillActive(), std::logic_error,
                                        "At the end of a CrsMatrix constructor that should produce "
                                        "a fillComplete matrix, isFillActive() is true."
                                            << suffix);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!isFillComplete(), std::logic_error,
                                        "At the end of a "
                                        "CrsMatrix constructor that should produce a fillComplete "
                                        "matrix, isFillComplete() is false."
                                            << suffix);
  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const local_matrix_device_type& lclMatrix,
              const Teuchos::RCP<const map_type>& rowMap,
              const Teuchos::RCP<const map_type>& colMap,
              const Teuchos::RCP<const map_type>& domainMap,
              const Teuchos::RCP<const map_type>& rangeMap,
              const Teuchos::RCP<const import_type>& importer,
              const Teuchos::RCP<const export_type>& exporter,
              const Teuchos::RCP<Teuchos::ParameterList>& params)
  : dist_object_type(rowMap)
  , storageStatus_(Details::STORAGE_1D_PACKED)
  , fillComplete_(true) {
  using Teuchos::rcp;
  const char tfecfFuncName[] =
      "Tpetra::CrsMatrix"
      "(lclMat,Map,Map,Map,Map,Import,Export,params): ";
  const char suffix[] =
      "  Please report this bug to the Tpetra developers.";

  Teuchos::RCP<crs_graph_type> graph;
  try {
    graph = rcp(new crs_graph_type(lclMatrix.graph, rowMap, colMap,
                                   domainMap, rangeMap, importer,
                                   exporter, params));
  } catch (std::exception& e) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsGraph constructor "
                                          "(local_graph_device_type, Map, Map, Map, Map, Import, Export, "
                                          "params) threw: "
                                              << e.what());
  }
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!graph->isFillComplete(), std::logic_error,
                                        "CrsGraph "
                                        "constructor (local_graph_device_type, Map, Map, Map, Map, Import, "
                                        "Export, params) did not produce a fill-complete graph.  "
                                        "Please report this bug to the Tpetra developers.");
  // myGraph_ not null means that the matrix owns the graph.  This
  // is true because the column indices come in as nonconst through
  // the matrix, implying shared ownership.
  myGraph_     = graph;
  staticGraph_ = graph;

  valuesPacked_wdv   = values_wdv_type(lclMatrix.values);
  valuesUnpacked_wdv = valuesPacked_wdv;

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(isFillActive(), std::logic_error,
                                        "At the end of a CrsMatrix constructor that should produce "
                                        "a fillComplete matrix, isFillActive() is true."
                                            << suffix);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!isFillComplete(), std::logic_error,
                                        "At the end of a "
                                        "CrsMatrix constructor that should produce a fillComplete "
                                        "matrix, isFillComplete() is false."
                                            << suffix);
  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    CrsMatrix(const CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>& source,
              const Teuchos::DataAccess copyOrView)
  : dist_object_type(source.getCrsGraph()->getRowMap())
  , staticGraph_(source.getCrsGraph())
  , storageStatus_(source.storageStatus_) {
  const char tfecfFuncName[] =
      "Tpetra::CrsMatrix("
      "const CrsMatrix&, const Teuchos::DataAccess): ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!source.isFillComplete(), std::invalid_argument,
                                        "Source graph must be fillComplete().");

  if (copyOrView == Teuchos::Copy) {
    using values_type = typename local_matrix_device_type::values_type;
    auto vals         = source.getLocalValuesDevice(Access::ReadOnly);
    using Kokkos::view_alloc;
    using Kokkos::WithoutInitializing;
    values_type newvals(view_alloc("val", WithoutInitializing),
                        vals.extent(0));
    // DEEP_COPY REVIEW - DEVICE-TO_DEVICE
    Kokkos::deep_copy(newvals, vals);
    valuesPacked_wdv   = values_wdv_type(newvals);
    valuesUnpacked_wdv = valuesPacked_wdv;
    fillComplete(source.getDomainMap(), source.getRangeMap());
  } else if (copyOrView == Teuchos::View) {
    valuesPacked_wdv   = values_wdv_type(source.valuesPacked_wdv);
    valuesUnpacked_wdv = values_wdv_type(source.valuesUnpacked_wdv);
    fillComplete(source.getDomainMap(), source.getRangeMap());
  } else {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::invalid_argument,
                                          "Second argument 'copyOrView' "
                                          "has an invalid value "
                                              << copyOrView << ".  Valid values "
                                                               "include Teuchos::Copy = "
                                              << Teuchos::Copy << " and "
                                                                  "Teuchos::View = "
                                              << Teuchos::View << ".");
  }
  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    swap(CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>& crs_matrix) {
  std::swap(crs_matrix.importMV_, this->importMV_);
  std::swap(crs_matrix.exportMV_, this->exportMV_);
  std::swap(crs_matrix.staticGraph_, this->staticGraph_);
  std::swap(crs_matrix.myGraph_, this->myGraph_);
  std::swap(crs_matrix.valuesPacked_wdv, this->valuesPacked_wdv);
  std::swap(crs_matrix.valuesUnpacked_wdv, this->valuesUnpacked_wdv);
  std::swap(crs_matrix.storageStatus_, this->storageStatus_);
  std::swap(crs_matrix.fillComplete_, this->fillComplete_);
  std::swap(crs_matrix.nonlocals_, this->nonlocals_);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const Teuchos::Comm<int>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getComm() const {
  return getCrsGraphRef().getComm();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    isFillComplete() const {
  return fillComplete_;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    isFillActive() const {
  return !fillComplete_;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    isStorageOptimized() const {
  return this->getCrsGraphRef().isStorageOptimized();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    isLocallyIndexed() const {
  return getCrsGraphRef().isLocallyIndexed();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    isGloballyIndexed() const {
  return getCrsGraphRef().isGloballyIndexed();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    hasColMap() const {
  return getCrsGraphRef().hasColMap();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
global_size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getGlobalNumEntries() const {
  return getCrsGraphRef().getGlobalNumEntries();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalNumEntries() const {
  return getCrsGraphRef().getLocalNumEntries();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
global_size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getGlobalNumRows() const {
  return getCrsGraphRef().getGlobalNumRows();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
global_size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getGlobalNumCols() const {
  return getCrsGraphRef().getGlobalNumCols();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalNumRows() const {
  return getCrsGraphRef().getLocalNumRows();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalNumCols() const {
  return getCrsGraphRef().getLocalNumCols();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getNumEntriesInGlobalRow(GlobalOrdinal globalRow) const {
  return getCrsGraphRef().getNumEntriesInGlobalRow(globalRow);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getNumEntriesInLocalRow(LocalOrdinal localRow) const {
  return getCrsGraphRef().getNumEntriesInLocalRow(localRow);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getGlobalMaxNumRowEntries() const {
  return getCrsGraphRef().getGlobalMaxNumRowEntries();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalMaxNumRowEntries() const {
  return getCrsGraphRef().getLocalMaxNumRowEntries();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
GlobalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getIndexBase() const {
  return getRowMap()->getIndexBase();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const Map<LocalOrdinal, GlobalOrdinal, Node>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getRowMap() const {
  return getCrsGraphRef().getRowMap();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const Map<LocalOrdinal, GlobalOrdinal, Node>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getColMap() const {
  return getCrsGraphRef().getColMap();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const Map<LocalOrdinal, GlobalOrdinal, Node>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getDomainMap() const {
  return getCrsGraphRef().getDomainMap();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const Map<LocalOrdinal, GlobalOrdinal, Node>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getRangeMap() const {
  return getCrsGraphRef().getRangeMap();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const RowGraph<LocalOrdinal, GlobalOrdinal, Node>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getGraph() const {
  if (staticGraph_ != Teuchos::null) {
    return staticGraph_;
  }
  return myGraph_;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<const CrsGraph<LocalOrdinal, GlobalOrdinal, Node>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getCrsGraph() const {
  if (staticGraph_ != Teuchos::null) {
    return staticGraph_;
  }
  return myGraph_;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
const CrsGraph<LocalOrdinal, GlobalOrdinal, Node>&
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getCrsGraphRef() const {
#ifdef HAVE_TPETRA_DEBUG
  constexpr bool debug = true;
#else
  constexpr bool debug = false;
#endif  // HAVE_TPETRA_DEBUG

  if (!this->staticGraph_.is_null()) {
    return *(this->staticGraph_);
  } else {
    if (debug) {
      const char tfecfFuncName[] = "getCrsGraphRef: ";
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(this->myGraph_.is_null(), std::logic_error,
                                            "Both staticGraph_ and myGraph_ are null.  "
                                            "Please report this bug to the Tpetra developers.");
    }
    return *(this->myGraph_);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::local_matrix_device_type
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalMatrixDevice() const {
  auto numCols = staticGraph_->getColMap()->getLocalNumElements();
  return local_matrix_device_type("Tpetra::CrsMatrix::lclMatrixDevice",
                                  numCols,
                                  valuesPacked_wdv.getDeviceView(Access::ReadWrite),
                                  staticGraph_->getLocalGraphDevice());
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::local_matrix_host_type
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalMatrixHost() const {
  auto numCols = staticGraph_->getColMap()->getLocalNumElements();
  return local_matrix_host_type("Tpetra::CrsMatrix::lclMatrixHost", numCols,
                                valuesPacked_wdv.getHostView(Access::ReadWrite),
                                staticGraph_->getLocalGraphHost());
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    isStaticGraph() const {
  return myGraph_.is_null();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    hasTransposeApply() const {
  return true;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    supportsRowViews() const {
  return true;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    allocateValues(ELocalGlobal lg, GraphAllocationStatus gas,
                   const bool verbose) {
  using Details::Behavior;
  using Details::ProfilingRegion;
  using std::endl;
  const char tfecfFuncName[] = "allocateValues: ";
  const char suffix[] =
      "  Please report this bug to the Tpetra developers.";
  ProfilingRegion region("Tpetra::CrsMatrix::allocateValues");

  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "allocateValues");
    std::ostringstream os;
    os << *prefix << "lg: "
       << (lg == LocalIndices ? "Local" : "Global") << "Indices"
       << ", gas: Graph"
       << (gas == GraphAlreadyAllocated ? "Already" : "NotYet")
       << "Allocated" << endl;
    std::cerr << os.str();
  }

  const bool debug = Behavior::debug("CrsMatrix");
  if (debug) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(this->staticGraph_.is_null(), std::logic_error,
                                          "staticGraph_ is null." << suffix);

    // If the graph indices are already allocated, then gas should be
    // GraphAlreadyAllocated.  Otherwise, gas should be
    // GraphNotYetAllocated.
    if ((gas == GraphAlreadyAllocated) !=
        staticGraph_->indicesAreAllocated()) {
      const char err1[] =
          "The caller has asserted that the graph "
          "is ";
      const char err2[] =
          "already allocated, but the static graph "
          "says that its indices are ";
      const char err3[] = "already allocated.  ";
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(gas == GraphAlreadyAllocated &&
                                                !staticGraph_->indicesAreAllocated(),
                                            std::logic_error,
                                            err1 << err2 << "not " << err3 << suffix);
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(gas != GraphAlreadyAllocated &&
                                                staticGraph_->indicesAreAllocated(),
                                            std::logic_error,
                                            err1 << "not " << err2 << err3 << suffix);
    }

    // If the graph is unallocated, then it had better be a
    // matrix-owned graph.  ("Matrix-owned graph" means that the
    // matrix gets to define the graph structure.  If the CrsMatrix
    // constructor that takes an RCP<const CrsGraph> was used, then
    // the matrix does _not_ own the graph.)
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!this->staticGraph_->indicesAreAllocated() &&
                                              this->myGraph_.is_null(),
                                          std::logic_error,
                                          "The static graph says that its indices are not allocated, "
                                          "but the graph is not owned by the matrix."
                                              << suffix);
  }

  if (gas == GraphNotYetAllocated) {
    if (debug) {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(this->myGraph_.is_null(), std::logic_error,
                                            "gas = GraphNotYetAllocated, but myGraph_ is null." << suffix);
    }
    try {
      this->myGraph_->allocateIndices(lg, verbose);
    } catch (std::exception& e) {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                            "CrsGraph::allocateIndices "
                                            "threw an exception: "
                                                << e.what());
    } catch (...) {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                            "CrsGraph::allocateIndices "
                                            "threw an exception not a subclass of std::exception.");
    }
  }

  // Allocate matrix values.
  const size_t lclTotalNumEntries = this->staticGraph_->getLocalAllocationSize();
  if (debug) {
    const size_t lclNumRows = this->staticGraph_->getLocalNumRows();
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(this->staticGraph_->getRowPtrsUnpackedHost()(lclNumRows) != lclTotalNumEntries, std::logic_error,
                                          "length of staticGraph's lclIndsUnpacked does not match final entry of rowPtrsUnapcked_host." << suffix);
  }

  // Allocate array of (packed???) matrix values.
  using values_type = typename local_matrix_device_type::values_type;
  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Allocate values_wdv: Pre "
       << valuesUnpacked_wdv.extent(0) << ", post "
       << lclTotalNumEntries << endl;
    std::cerr << os.str();
  }
  //    this->k_values1D_ =
  valuesUnpacked_wdv = values_wdv_type(
      values_type("Tpetra::CrsMatrix::values",
                  lclTotalNumEntries));
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    fillLocalGraphAndMatrix(const Teuchos::RCP<Teuchos::ParameterList>& params) {
  using std::endl;
  using Teuchos::arcp_const_cast;
  using Teuchos::Array;
  using Teuchos::ArrayRCP;
  using Teuchos::null;
  using Teuchos::RCP;
  using Teuchos::rcp;
  using ::Tpetra::Details::computeOffsetsFromCounts;
  using ::Tpetra::Details::getEntryOnHost;
  using row_map_type    = typename local_graph_device_type::row_map_type;
  using lclinds_1d_type = typename Graph::local_graph_device_type::entries_type::non_const_type;
  using values_type     = typename local_matrix_device_type::values_type;
  Details::ProfilingRegion regionFLGAM("Tpetra::CrsMatrix::fillLocalGraphAndMatrix");

  const char tfecfFuncName[] =
      "fillLocalGraphAndMatrix (called from "
      "fillComplete or expertStaticFillComplete): ";
  const char suffix[] =
      "  Please report this bug to the Tpetra developers.";
  const bool debug   = Details::Behavior::debug("CrsMatrix");
  const bool verbose = Details::Behavior::verbose("CrsMatrix");

  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "fillLocalGraphAndMatrix");
    std::ostringstream os;
    os << *prefix << endl;
    std::cerr << os.str();
  }

  if (debug) {
    // fillComplete() only calls fillLocalGraphAndMatrix() if the
    // matrix owns the graph, which means myGraph_ is not null.
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(myGraph_.is_null(), std::logic_error,
                                          "The nonconst graph "
                                          "(myGraph_) is null.  This means that the matrix has a "
                                          "const (a.k.a. \"static\") graph.  fillComplete or "
                                          "expertStaticFillComplete should never call "
                                          "fillLocalGraphAndMatrix in that case."
                                              << suffix);
  }

  const size_t lclNumRows = this->getLocalNumRows();

  // This method's goal is to fill in the three arrays (compressed
  // sparse row format) that define the sparse graph's and matrix's
  // structure, and the sparse matrix's values.
  //
  // Get references to the data in myGraph_, so we can modify them
  // as well.  Note that we only call fillLocalGraphAndMatrix() if
  // the matrix owns the graph, which means myGraph_ is not null.

  // NOTE: This does not work correctly w/ GCC 12.3 + CUDA due to a compiler bug.
  // See: https://github.com/trilinos/Trilinos/issues/12237
  // using row_entries_type = decltype (myGraph_->k_numRowEntries_);
  using row_entries_type = typename crs_graph_type::num_row_entries_type;

  typename Graph::local_graph_device_type::row_map_type curRowOffsets =
      myGraph_->rowPtrsUnpacked_dev_;

  if (debug) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(curRowOffsets.extent(0) == 0, std::logic_error,
                                          "curRowOffsets.extent(0) == 0.");
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(curRowOffsets.extent(0) != lclNumRows + 1, std::logic_error,
                                          "curRowOffsets.extent(0) = "
                                              << curRowOffsets.extent(0) << " != lclNumRows + 1 = "
                                              << (lclNumRows + 1) << ".");
    const size_t numOffsets = curRowOffsets.extent(0);
    const auto valToCheck   = myGraph_->getRowPtrsUnpackedHost()(numOffsets - 1);
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(numOffsets != 0 &&
                                              myGraph_->lclIndsUnpacked_wdv.extent(0) != valToCheck,
                                          std::logic_error, "numOffsets = " << numOffsets << " != 0 and myGraph_->lclIndsUnpacked_wdv.extent(0) = " << myGraph_->lclIndsUnpacked_wdv.extent(0) << " != curRowOffsets(" << numOffsets << ") = " << valToCheck << ".");
  }

  if (myGraph_->getLocalNumEntries() !=
      myGraph_->getLocalAllocationSize()) {
    // Use the nonconst version of row_map_type for k_ptrs,
    // because row_map_type is const and we need to modify k_ptrs here.
    typename row_map_type::non_const_type k_ptrs;
    row_map_type k_ptrs_const;
    lclinds_1d_type k_inds;
    values_type k_vals;

    if (verbose) {
      std::ostringstream os;
      const auto numEnt    = myGraph_->getLocalNumEntries();
      const auto allocSize = myGraph_->getLocalAllocationSize();
      os << *prefix << "Unpacked 1-D storage: numEnt=" << numEnt
         << ", allocSize=" << allocSize << endl;
      std::cerr << os.str();
    }
    // The matrix's current 1-D storage is "unpacked."  This means
    // the row offsets may differ from what the final row offsets
    // should be.  This could happen, for example, if the user
    // set an upper
    // bound on the number of entries per row, but didn't fill all
    // those entries.
    if (debug && curRowOffsets.extent(0) != 0) {
      const size_t numOffsets =
          static_cast<size_t>(curRowOffsets.extent(0));
      const auto valToCheck = myGraph_->getRowPtrsUnpackedHost()(numOffsets - 1);
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(static_cast<size_t>(valToCheck) !=
                                                static_cast<size_t>(valuesUnpacked_wdv.extent(0)),
                                            std::logic_error,
                                            "(unpacked branch) Before "
                                            "allocating or packing, curRowOffsets("
                                                << (numOffsets - 1)
                                                << ") = " << valToCheck << " != valuesUnpacked_wdv.extent(0)"
                                                                           " = "
                                                << valuesUnpacked_wdv.extent(0) << ".");
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(static_cast<size_t>(valToCheck) !=
                                                static_cast<size_t>(myGraph_->lclIndsUnpacked_wdv.extent(0)),
                                            std::logic_error,
                                            "(unpacked branch) Before "
                                            "allocating or packing, curRowOffsets("
                                                << (numOffsets - 1)
                                                << ") = " << valToCheck
                                                << " != myGraph_->lclIndsUnpacked_wdv.extent(0) = "
                                                << myGraph_->lclIndsUnpacked_wdv.extent(0) << ".");
    }
    // Pack the row offsets into k_ptrs, by doing a sum-scan of
    // the array of valid entry counts per row.

    // Total number of entries in the matrix on the calling
    // process.  We will compute this in the loop below.  It's
    // cheap to compute and useful as a sanity check.
    size_t lclTotalNumEntries = 0;
    {
      // Allocate the packed row offsets array.  We use a nonconst
      // temporary (packedRowOffsets) here, because k_ptrs is
      // const.  We will assign packedRowOffsets to k_ptrs below.
      if (verbose) {
        std::ostringstream os;
        os << *prefix << "Allocate packed row offsets: "
           << (lclNumRows + 1) << endl;
        std::cerr << os.str();
      }
      typename row_map_type::non_const_type
          packedRowOffsets("Tpetra::CrsGraph::ptr", lclNumRows + 1);
      typename row_entries_type::const_type numRowEnt_h =
          myGraph_->k_numRowEntries_;
      // We're computing offsets on device.  This function can
      // handle numRowEnt_h being a host View.
      lclTotalNumEntries =
          computeOffsetsFromCounts(packedRowOffsets, numRowEnt_h);
      // packedRowOffsets is modifiable; k_ptrs isn't, so we have
      // to use packedRowOffsets in the loop above and assign here.
      k_ptrs       = packedRowOffsets;
      k_ptrs_const = k_ptrs;
    }

    if (debug) {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(static_cast<size_t>(k_ptrs.extent(0)) != lclNumRows + 1,
                                            std::logic_error,
                                            "(unpacked branch) After packing k_ptrs, "
                                            "k_ptrs.extent(0) = "
                                                << k_ptrs.extent(0) << " != "
                                                                       "lclNumRows+1 = "
                                                << (lclNumRows + 1) << ".");
      const auto valToCheck = getEntryOnHost(k_ptrs, lclNumRows);
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(valToCheck != lclTotalNumEntries, std::logic_error,
                                            "(unpacked branch) After filling k_ptrs, "
                                            "k_ptrs(lclNumRows="
                                                << lclNumRows << ") = " << valToCheck
                                                << " != total number of entries on the calling process = "
                                                << lclTotalNumEntries << ".");
    }

    // Allocate the arrays of packed column indices and values.
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Allocate packed local column indices: "
         << lclTotalNumEntries << endl;
      std::cerr << os.str();
    }
    k_inds = lclinds_1d_type("Tpetra::CrsGraph::lclInds", lclTotalNumEntries);
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Allocate packed values: "
         << lclTotalNumEntries << endl;
      std::cerr << os.str();
    }
    k_vals = values_type("Tpetra::CrsMatrix::values", lclTotalNumEntries);

    // curRowOffsets (myGraph_->rowPtrsUnpacked_) (???), lclIndsUnpacked_wdv,
    // and valuesUnpacked_wdv are currently unpacked.  Pack them, using
    // the packed row offsets array k_ptrs that we created above.
    //
    // FIXME (mfh 06 Aug 2014) If "Optimize Storage" is false, we
    // need to keep around the unpacked row offsets, column
    // indices, and values arrays.

    // Pack the column indices from unpacked lclIndsUnpacked_wdv into
    // packed k_inds.  We will replace lclIndsUnpacked_wdv below.
    using inds_packer_type = pack_functor<
        typename Graph::local_graph_device_type::entries_type::non_const_type,
        typename Graph::local_inds_dualv_type::t_dev::const_type,
        typename Graph::local_graph_device_type::row_map_type::non_const_type,
        typename Graph::local_graph_device_type::row_map_type>;
    inds_packer_type indsPacker(
        k_inds,
        myGraph_->lclIndsUnpacked_wdv.getDeviceView(Access::ReadOnly),
        k_ptrs, curRowOffsets);
    using exec_space = typename decltype(k_inds)::execution_space;
    using range_type = Kokkos::RangePolicy<exec_space, LocalOrdinal>;
    Kokkos::parallel_for("Tpetra::CrsMatrix pack column indices",
                         range_type(0, lclNumRows), indsPacker);

    // Pack the values from unpacked valuesUnpacked_wdv into packed
    // k_vals.  We will replace valuesPacked_wdv below.
    using vals_packer_type = pack_functor<
        typename values_type::non_const_type,
        typename values_type::const_type,
        typename row_map_type::non_const_type,
        typename row_map_type::const_type>;
    vals_packer_type valsPacker(
        k_vals,
        this->valuesUnpacked_wdv.getDeviceView(Access::ReadOnly),
        k_ptrs, curRowOffsets);
    Kokkos::parallel_for("Tpetra::CrsMatrix pack values",
                         range_type(0, lclNumRows), valsPacker);

    if (debug) {
      const char myPrefix[] =
          "(\"Optimize Storage\""
          "=true branch) After packing, ";
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(k_ptrs.extent(0) == 0, std::logic_error, myPrefix << "k_ptrs.extent(0) = 0.  This probably means that "
                                                                                                 "rowPtrsUnpacked_ was never allocated.");
      if (k_ptrs.extent(0) != 0) {
        const size_t numOffsets(k_ptrs.extent(0));
        const auto valToCheck =
            getEntryOnHost(k_ptrs, numOffsets - 1);
        TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(size_t(valToCheck) != k_vals.extent(0),
                                              std::logic_error, myPrefix << "k_ptrs(" << (numOffsets - 1) << ") = " << valToCheck << " != k_vals.extent(0) = " << k_vals.extent(0) << ".");
        TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(size_t(valToCheck) != k_inds.extent(0),
                                              std::logic_error, myPrefix << "k_ptrs(" << (numOffsets - 1) << ") = " << valToCheck << " != k_inds.extent(0) = " << k_inds.extent(0) << ".");
      }
    }
    // Build the local graph.
    myGraph_->setRowPtrsPacked(k_ptrs_const);
    myGraph_->lclIndsPacked_wdv =
        typename crs_graph_type::local_inds_wdv_type(k_inds);
    valuesPacked_wdv = values_wdv_type(k_vals);
  } else {  // We don't have to pack, so just set the pointers.
    // FIXME KDDKDD https://github.com/trilinos/Trilinos/issues/9657
    // FIXME? This is already done in the graph fill call - need to avoid the memcpy to host
    myGraph_->rowPtrsPacked_dev_          = myGraph_->rowPtrsUnpacked_dev_;
    myGraph_->rowPtrsPacked_host_         = myGraph_->rowPtrsUnpacked_host_;
    myGraph_->packedUnpackedRowPtrsMatch_ = true;
    myGraph_->lclIndsPacked_wdv           = myGraph_->lclIndsUnpacked_wdv;
    valuesPacked_wdv                      = valuesUnpacked_wdv;

    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Storage already packed: rowPtrsUnpacked_: "
         << myGraph_->getRowPtrsUnpackedHost().extent(0) << ", lclIndsUnpacked_wdv: "
         << myGraph_->lclIndsUnpacked_wdv.extent(0) << ", valuesUnpacked_wdv: "
         << valuesUnpacked_wdv.extent(0) << endl;
      std::cerr << os.str();
    }

    if (debug) {
      const char myPrefix[] =
          "(\"Optimize Storage\"=false branch) ";
      auto rowPtrsUnpackedHost = myGraph_->getRowPtrsUnpackedHost();
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(myGraph_->rowPtrsUnpacked_dev_.extent(0) == 0, std::logic_error, myPrefix << "myGraph->rowPtrsUnpacked_dev_.extent(0) = 0.  This probably means "
                                                                                                                         "that rowPtrsUnpacked_ was never allocated.");
      if (myGraph_->rowPtrsUnpacked_dev_.extent(0) != 0) {
        const size_t numOffsets = rowPtrsUnpackedHost.extent(0);
        const auto valToCheck   = rowPtrsUnpackedHost(numOffsets - 1);
        TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(size_t(valToCheck) != valuesPacked_wdv.extent(0),
                                              std::logic_error, myPrefix << "k_ptrs_const(" << (numOffsets - 1) << ") = " << valToCheck << " != valuesPacked_wdv.extent(0) = " << valuesPacked_wdv.extent(0) << ".");
        TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(size_t(valToCheck) != myGraph_->lclIndsPacked_wdv.extent(0),
                                              std::logic_error, myPrefix << "k_ptrs_const(" << (numOffsets - 1) << ") = " << valToCheck << " != myGraph_->lclIndsPacked.extent(0) = " << myGraph_->lclIndsPacked_wdv.extent(0) << ".");
      }
    }
  }

  if (debug) {
    const char myPrefix[]  = "After packing, ";
    auto rowPtrsPackedHost = myGraph_->getRowPtrsPackedHost();
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(size_t(rowPtrsPackedHost.extent(0)) != size_t(lclNumRows + 1),
                                          std::logic_error, myPrefix << "myGraph_->rowPtrsPacked_host_.extent(0) = " << rowPtrsPackedHost.extent(0) << " != lclNumRows+1 = " << (lclNumRows + 1) << ".");
    if (rowPtrsPackedHost.extent(0) != 0) {
      const size_t numOffsets(rowPtrsPackedHost.extent(0));
      const size_t valToCheck = rowPtrsPackedHost(numOffsets - 1);
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(valToCheck != size_t(valuesPacked_wdv.extent(0)),
                                            std::logic_error, myPrefix << "k_ptrs_const(" << (numOffsets - 1) << ") = " << valToCheck << " != valuesPacked_wdv.extent(0) = " << valuesPacked_wdv.extent(0) << ".");
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(valToCheck != size_t(myGraph_->lclIndsPacked_wdv.extent(0)),
                                            std::logic_error, myPrefix << "k_ptrs_const(" << (numOffsets - 1) << ") = " << valToCheck << " != myGraph_->lclIndsPacked_wdvk_inds.extent(0) = " << myGraph_->lclIndsPacked_wdv.extent(0) << ".");
    }
  }

  // May we ditch the old allocations for the packed (and otherwise
  // "optimized") allocations, later in this routine?  Optimize
  // storage if the graph is not static, or if the graph already has
  // optimized storage.
  const bool defaultOptStorage =
      !isStaticGraph() || staticGraph_->isStorageOptimized();
  const bool requestOptimizedStorage =
      (!params.is_null() &&
       params->get("Optimize Storage", defaultOptStorage)) ||
      (params.is_null() && defaultOptStorage);

  // The graph has optimized storage when indices are allocated,
  // myGraph_->k_numRowEntries_ is empty, and there are more than
  // zero rows on this process.
  if (requestOptimizedStorage) {
    // Free the old, unpacked, unoptimized allocations.
    // Free graph data structures that are only needed for
    // unpacked 1-D storage.
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Optimizing storage: free k_numRowEntries_: "
         << myGraph_->k_numRowEntries_.extent(0) << endl;
      std::cerr << os.str();
    }

    myGraph_->k_numRowEntries_ = row_entries_type();

    // Keep the new 1-D packed allocations.
    // FIXME KDDKDD https://github.com/trilinos/Trilinos/issues/9657
    // We directly set the memory spaces to avoid a memcpy from device to host
    myGraph_->rowPtrsUnpacked_dev_        = myGraph_->rowPtrsPacked_dev_;
    myGraph_->rowPtrsUnpacked_host_       = myGraph_->rowPtrsPacked_host_;
    myGraph_->packedUnpackedRowPtrsMatch_ = true;
    myGraph_->lclIndsUnpacked_wdv         = myGraph_->lclIndsPacked_wdv;
    valuesUnpacked_wdv                    = valuesPacked_wdv;

    myGraph_->storageStatus_ = Details::STORAGE_1D_PACKED;
    this->storageStatus_     = Details::STORAGE_1D_PACKED;
  } else {
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "User requested NOT to optimize storage"
         << endl;
      std::cerr << os.str();
    }
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    fillLocalMatrix(const Teuchos::RCP<Teuchos::ParameterList>& params) {
  using std::endl;
  using Teuchos::Array;
  using Teuchos::ArrayRCP;
  using Teuchos::null;
  using Teuchos::RCP;
  using Teuchos::rcp;
  using ::Tpetra::Details::ProfilingRegion;
  using row_map_type           = typename Graph::local_graph_device_type::row_map_type;
  using non_const_row_map_type = typename row_map_type::non_const_type;
  using values_type            = typename local_matrix_device_type::values_type;
  ProfilingRegion regionFLM("Tpetra::CrsMatrix::fillLocalMatrix");
  const size_t lclNumRows = getLocalNumRows();

  const bool verbose = Details::Behavior::verbose("CrsMatrix");
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "fillLocalMatrix");
    std::ostringstream os;
    os << *prefix << "lclNumRows: " << lclNumRows << endl;
    std::cerr << os.str();
  }

  // The goals of this routine are first, to allocate and fill
  // packed 1-D storage (see below for an explanation) in the vals
  // array, and second, to give vals to the local matrix and
  // finalize the local matrix.  We only need k_ptrs, the packed 1-D
  // row offsets, within the scope of this routine, since we're only
  // filling the local matrix here (use fillLocalGraphAndMatrix() to
  // fill both the graph and the matrix at the same time).

  // get data from staticGraph_
  size_t nodeNumEntries   = staticGraph_->getLocalNumEntries();
  size_t nodeNumAllocated = staticGraph_->getLocalAllocationSize();
  row_map_type k_rowPtrs  = staticGraph_->rowPtrsPacked_dev_;

  row_map_type k_ptrs;  // "packed" row offsets array
  values_type k_vals;   // "packed" values array

  // May we ditch the old allocations for the packed (and otherwise
  // "optimized") allocations, later in this routine?  Request
  // optimized storage by default.
  bool requestOptimizedStorage = true;
  const bool default_OptimizeStorage =
      !isStaticGraph() || staticGraph_->isStorageOptimized();
  if (!params.is_null() &&
      !params->get("Optimize Storage", default_OptimizeStorage)) {
    requestOptimizedStorage = false;
  }
  // If we're not allowed to change a static graph, then we can't
  // change the storage of the matrix, either.  This means that if
  // the graph's storage isn't already optimized, we can't optimize
  // the matrix's storage either.  Check and give warning, as
  // appropriate.
  if (!staticGraph_->isStorageOptimized() &&
      requestOptimizedStorage) {
    TPETRA_ABUSE_WARNING(true, std::runtime_error,
                         "You requested optimized storage "
                         "by setting the \"Optimize Storage\" flag to \"true\" in "
                         "the ParameterList, or by virtue of default behavior.  "
                         "However, the associated CrsGraph was filled separately and "
                         "requested not to optimize storage. Therefore, the "
                         "CrsMatrix cannot optimize storage.");
    requestOptimizedStorage = false;
  }

  // NOTE: This does not work correctly w/ GCC 12.3 + CUDA due to a compiler bug.
  // See: https://github.com/trilinos/Trilinos/issues/12237
  // using row_entries_type = decltype (staticGraph_->k_numRowEntries_);
  using row_entries_type = typename crs_graph_type::num_row_entries_type;

  // The matrix's values are currently
  // stored in a 1-D format.  However, this format is "unpacked";
  // it doesn't necessarily have the same row offsets as indicated
  // by the ptrs array returned by allocRowPtrs.  This could
  // happen, for example, if the user
  // fixed the number of matrix entries in
  // each row, but didn't fill all those entries.
  //
  // As above, we don't need to keep the "packed" row offsets
  // array ptrs here, but we do need it here temporarily, so we
  // have to allocate it.  We'll free ptrs later in this method.
  //
  // Note that this routine checks whether storage has already
  // been packed.  This is a common case for solution of nonlinear
  // PDEs using the finite element method, as long as the
  // structure of the sparse matrix does not change between linear
  // solves.
  if (nodeNumEntries != nodeNumAllocated) {
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Unpacked 1-D storage: numEnt="
         << nodeNumEntries << ", allocSize=" << nodeNumAllocated
         << endl;
      std::cerr << os.str();
    }
    // We have to pack the 1-D storage, since the user didn't fill
    // up all requested storage.
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Allocate packed row offsets: "
         << (lclNumRows + 1) << endl;
      std::cerr << os.str();
    }
    non_const_row_map_type tmpk_ptrs("Tpetra::CrsGraph::ptr",
                                     lclNumRows + 1);
    // Total number of entries in the matrix on the calling
    // process.  We will compute this in the loop below.  It's
    // cheap to compute and useful as a sanity check.
    size_t lclTotalNumEntries = 0;
    k_ptrs                    = tmpk_ptrs;
    {
      typename row_entries_type::const_type numRowEnt_h =
          staticGraph_->k_numRowEntries_;
      // This function can handle the counts being a host View.
      lclTotalNumEntries =
          Details::computeOffsetsFromCounts(tmpk_ptrs, numRowEnt_h);
    }

    // Allocate the "packed" values array.
    // It has exactly the right number of entries.
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Allocate packed values: "
         << lclTotalNumEntries << endl;
      std::cerr << os.str();
    }
    k_vals = values_type("Tpetra::CrsMatrix::val", lclTotalNumEntries);

    // Pack values_wdv into k_vals.  We will replace values_wdv below.
    pack_functor<
        typename values_type::non_const_type,
        typename values_type::const_type,
        typename row_map_type::non_const_type,
        typename row_map_type::const_type>
        valsPacker(k_vals, valuesUnpacked_wdv.getDeviceView(Access::ReadOnly),
                   tmpk_ptrs, k_rowPtrs);

    using exec_space = typename decltype(k_vals)::execution_space;
    using range_type = Kokkos::RangePolicy<exec_space, LocalOrdinal>;
    Kokkos::parallel_for("Tpetra::CrsMatrix pack values",
                         range_type(0, lclNumRows), valsPacker);
    valuesPacked_wdv = values_wdv_type(k_vals);
  } else {  // We don't have to pack, so just set the pointer.
    valuesPacked_wdv = valuesUnpacked_wdv;
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Storage already packed: "
         << "valuesUnpacked_wdv: " << valuesUnpacked_wdv.extent(0) << endl;
      std::cerr << os.str();
    }
  }

  // May we ditch the old allocations for the packed one?
  if (requestOptimizedStorage) {
    // The user requested optimized storage, so we can dump the
    // unpacked 1-D storage, and keep the packed storage.
    valuesUnpacked_wdv = valuesPacked_wdv;
    //      k_values1D_ = valuesPacked_wdv.getDeviceView(Access::ReadWrite);
    this->storageStatus_ = Details::STORAGE_1D_PACKED;
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    insertIndicesAndValues(crs_graph_type& graph,
                           RowInfo& rowInfo,
                           const typename crs_graph_type::SLocalGlobalViews& newInds,
                           const Teuchos::ArrayView<impl_scalar_type>& oldRowVals,
                           const Teuchos::ArrayView<const impl_scalar_type>& newRowVals,
                           const ELocalGlobal lg,
                           const ELocalGlobal I) {
  const size_t oldNumEnt   = rowInfo.numEntries;
  const size_t numInserted = graph.insertIndices(rowInfo, newInds, lg, I);

  // Use of memcpy here works around an issue with GCC >= 4.9.0,
  // that probably relates to scalar_type vs. impl_scalar_type
  // aliasing.  See history of Tpetra_CrsGraph_def.hpp for
  // details; look for GCC_WORKAROUND macro definition.
  if (numInserted > 0) {
    const size_t startOffset = oldNumEnt;
    memcpy((void*)&oldRowVals[startOffset], &newRowVals[0],
           numInserted * sizeof(impl_scalar_type));
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    insertLocalValues(const LocalOrdinal lclRow,
                      const Teuchos::ArrayView<const LocalOrdinal>& indices,
                      const Teuchos::ArrayView<const Scalar>& values,
                      const CombineMode CM) {
  using std::endl;
  const char tfecfFuncName[] = "insertLocalValues: ";

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!this->isFillActive(), std::runtime_error,
                                        "Fill is not active.  After calling fillComplete, you must call "
                                        "resumeFill before you may insert entries into the matrix again.");
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(this->isStaticGraph(), std::runtime_error,
                                        "Cannot insert indices with static graph; use replaceLocalValues() "
                                        "instead.");
  // At this point, we know that myGraph_ is nonnull.
  crs_graph_type& graph = *(this->myGraph_);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(graph.colMap_.is_null(), std::runtime_error,
                                        "Cannot insert local indices without a column map.");
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(graph.isGloballyIndexed(),
                                        std::runtime_error,
                                        "Graph indices are global; use "
                                        "insertGlobalValues().");
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(values.size() != indices.size(), std::runtime_error,
                                        "values.size() = " << values.size()
                                                           << " != indices.size() = " << indices.size() << ".");
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      !graph.rowMap_->isNodeLocalElement(lclRow), std::runtime_error,
      "Local row index " << lclRow << " does not belong to this process.");

  if (!graph.indicesAreAllocated()) {
    // We only allocate values at most once per process, so it's OK
    // to check TPETRA_VERBOSE here.
    const bool verbose = Details::Behavior::verbose("CrsMatrix");
    this->allocateValues(LocalIndices, GraphNotYetAllocated, verbose);
  }

#ifdef HAVE_TPETRA_DEBUG
  const size_t numEntriesToAdd = static_cast<size_t>(indices.size());
  // In a debug build, test whether any of the given column indices
  // are not in the column Map.  Keep track of the invalid column
  // indices so we can tell the user about them.
  {
    using Teuchos::toString;

    const map_type& colMap = *(graph.colMap_);
    Teuchos::Array<LocalOrdinal> badColInds;
    bool allInColMap = true;
    for (size_t k = 0; k < numEntriesToAdd; ++k) {
      if (!colMap.isNodeLocalElement(indices[k])) {
        allInColMap = false;
        badColInds.push_back(indices[k]);
      }
    }
    if (!allInColMap) {
      std::ostringstream os;
      os << "You attempted to insert entries in owned row " << lclRow
         << ", at the following column indices: " << toString(indices)
         << "." << endl;
      os << "Of those, the following indices are not in the column Map on "
            "this process: "
         << toString(badColInds) << "." << endl
         << "Since "
            "the matrix has a column Map already, it is invalid to insert "
            "entries at those locations.";
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::invalid_argument, os.str());
    }
  }
#endif  // HAVE_TPETRA_DEBUG

  RowInfo rowInfo = graph.getRowInfo(lclRow);

  auto valsView = this->getValuesViewHostNonConst(rowInfo);
  if (CM == ADD) {
    auto fun = [&](size_t const k, size_t const /*start*/, size_t const offset) { valsView[offset] += values[k]; };
    std::function<void(size_t const, size_t const, size_t const)> cb(std::ref(fun));
    graph.insertLocalIndicesImpl(lclRow, indices, cb);
  } else if (CM == INSERT) {
    auto fun = [&](size_t const k, size_t const /*start*/, size_t const offset) { valsView[offset] = values[k]; };
    std::function<void(size_t const, size_t const, size_t const)> cb(std::ref(fun));
    graph.insertLocalIndicesImpl(lclRow, indices, cb);
  } else {
    std::ostringstream os;
    os << "You attempted to use insertLocalValues with CombineMode " << combineModeToString(CM)
       << "but this has not been implemented." << endl;
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::invalid_argument, os.str());
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    insertLocalValues(const LocalOrdinal localRow,
                      const LocalOrdinal numEnt,
                      const Scalar vals[],
                      const LocalOrdinal cols[],
                      const CombineMode CM) {
  Teuchos::ArrayView<const LocalOrdinal> colsT(cols, numEnt);
  Teuchos::ArrayView<const Scalar> valsT(vals, numEnt);
  this->insertLocalValues(localRow, colsT, valsT, CM);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    insertGlobalValuesImpl(crs_graph_type& graph,
                           RowInfo& rowInfo,
                           const GlobalOrdinal gblColInds[],
                           const impl_scalar_type vals[],
                           const size_t numInputEnt) {
#ifdef HAVE_TPETRA_DEBUG
  const char tfecfFuncName[] = "insertGlobalValuesImpl: ";
  const size_t origNumEnt    = graph.getNumEntriesInLocalRow(rowInfo.localRow);
  const size_t curNumEnt     = rowInfo.numEntries;
#endif  // HAVE_TPETRA_DEBUG

  if (!graph.indicesAreAllocated()) {
    // We only allocate values at most once per process, so it's OK
    // to check TPETRA_VERBOSE here.
    using ::Tpetra::Details::Behavior;
    const bool verbose = Behavior::verbose("CrsMatrix");
    this->allocateValues(GlobalIndices, GraphNotYetAllocated, verbose);
    // mfh 23 Jul 2017: allocateValues invalidates existing
    // getRowInfo results.  Once we get rid of lazy graph
    // allocation, we'll be able to move the getRowInfo call outside
    // of this method.
    rowInfo = graph.getRowInfo(rowInfo.localRow);
  }

  auto valsView = this->getValuesViewHostNonConst(rowInfo);
  auto fun      = [&](size_t const k, size_t const /*start*/, size_t const offset) {
    valsView[offset] += vals[k];
  };
  std::function<void(size_t const, size_t const, size_t const)> cb(std::ref(fun));
#ifdef HAVE_TPETRA_DEBUG
  // numInserted is only used inside the debug code below.
  auto numInserted =
#endif
      graph.insertGlobalIndicesImpl(rowInfo, gblColInds, numInputEnt, cb);

#ifdef HAVE_TPETRA_DEBUG
  size_t newNumEnt = curNumEnt + numInserted;
  const size_t chkNewNumEnt =
      graph.getNumEntriesInLocalRow(rowInfo.localRow);
  if (chkNewNumEnt != newNumEnt) {
    std::ostringstream os;
    os << std::endl
       << "newNumEnt = " << newNumEnt
       << " != graph.getNumEntriesInLocalRow(" << rowInfo.localRow
       << ") = " << chkNewNumEnt << "." << std::endl
       << "\torigNumEnt: " << origNumEnt << std::endl
       << "\tnumInputEnt: " << numInputEnt << std::endl
       << "\tgblColInds: [";
    for (size_t k = 0; k < numInputEnt; ++k) {
      os << gblColInds[k];
      if (k + size_t(1) < numInputEnt) {
        os << ",";
      }
    }
    os << "]" << std::endl
       << "\tvals: [";
    for (size_t k = 0; k < numInputEnt; ++k) {
      os << vals[k];
      if (k + size_t(1) < numInputEnt) {
        os << ",";
      }
    }
    os << "]" << std::endl;

    if (this->supportsRowViews()) {
      values_host_view_type vals2;
      if (this->isGloballyIndexed()) {
        global_inds_host_view_type gblColInds2;
        const GlobalOrdinal gblRow =
            graph.rowMap_->getGlobalElement(rowInfo.localRow);
        if (gblRow ==
            Tpetra::Details::OrdinalTraits<GlobalOrdinal>::invalid()) {
          os << "Local row index " << rowInfo.localRow << " is invalid!"
             << std::endl;
        } else {
          bool getViewThrew = false;
          try {
            this->getGlobalRowView(gblRow, gblColInds2, vals2);
          } catch (std::exception& e) {
            getViewThrew = true;
            os << "getGlobalRowView threw exception:" << std::endl
               << e.what() << std::endl;
          }
          if (!getViewThrew) {
            os << "\tNew global column indices: ";
            for (size_t jjj = 0; jjj < gblColInds2.extent(0); jjj++)
              os << gblColInds2[jjj] << " ";
            os << std::endl;
            os << "\tNew values: ";
            for (size_t jjj = 0; jjj < vals2.extent(0); jjj++)
              os << vals2[jjj] << " ";
            os << std::endl;
          }
        }
      } else if (this->isLocallyIndexed()) {
        local_inds_host_view_type lclColInds2;
        this->getLocalRowView(rowInfo.localRow, lclColInds2, vals2);
        os << "\tNew local column indices: ";
        for (size_t jjj = 0; jjj < lclColInds2.extent(0); jjj++)
          os << lclColInds2[jjj] << " ";
        os << std::endl;
        os << "\tNew values: ";
        for (size_t jjj = 0; jjj < vals2.extent(0); jjj++)
          os << vals2[jjj] << " ";
        os << std::endl;
      }
    }

    os << "Please report this bug to the Tpetra developers.";
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::logic_error, os.str());
  }
#endif  // HAVE_TPETRA_DEBUG
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    insertGlobalValues(const GlobalOrdinal gblRow,
                       const Teuchos::ArrayView<const GlobalOrdinal>& indices,
                       const Teuchos::ArrayView<const Scalar>& values) {
  using std::endl;
  using Teuchos::toString;
  typedef impl_scalar_type IST;
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;
  typedef Tpetra::Details::OrdinalTraits<LO> OTLO;
  typedef typename Teuchos::ArrayView<const GO>::size_type size_type;
  const char tfecfFuncName[] = "insertGlobalValues: ";

#ifdef HAVE_TPETRA_DEBUG
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(values.size() != indices.size(), std::runtime_error,
                                        "values.size() = " << values.size() << " != indices.size() = "
                                                           << indices.size() << ".");
#endif  // HAVE_TPETRA_DEBUG

  // getRowMap() is not thread safe, because it increments RCP's
  // reference count.  getCrsGraphRef() is thread safe.
  const map_type& rowMap = *(this->getCrsGraphRef().rowMap_);
  const LO lclRow        = rowMap.getLocalElement(gblRow);

  if (lclRow == OTLO::invalid()) {
    // Input row is _not_ owned by the calling process.
    //
    // See a note (now deleted) from mfh 14 Dec 2012: If input row
    // is not in the row Map, it doesn't matter whether or not the
    // graph is static; the data just get stashed for later use by
    // globalAssemble().
    this->insertNonownedGlobalValues(gblRow, indices, values);
  } else {  // Input row _is_ owned by the calling process
    if (this->isStaticGraph()) {
      // Uh oh!  Not allowed to insert into owned rows in that case.
      const int myRank   = rowMap.getComm()->getRank();
      const int numProcs = rowMap.getComm()->getSize();
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                            "The matrix was constructed with a constant (\"static\") graph, "
                                            "yet the given global row index "
                                                << gblRow << " is in the row "
                                                             "Map on the calling process (with rank "
                                                << myRank << ", of " << numProcs << " process(es)).  In this case, you may not insert "
                                                                                    "new entries into rows owned by the calling process.");
    }

    crs_graph_type& graph = *(this->myGraph_);
    const IST* const inputVals =
        reinterpret_cast<const IST*>(values.getRawPtr());
    const GO* const inputGblColInds = indices.getRawPtr();
    const size_t numInputEnt        = indices.size();
    RowInfo rowInfo                 = graph.getRowInfo(lclRow);

    // If the matrix has a column Map, check at this point whether
    // the column indices belong to the column Map.
    //
    // FIXME (mfh 16 May 2013) We may want to consider deferring the
    // test to the CrsGraph method, since it may have to do this
    // anyway.
    if (!graph.colMap_.is_null()) {
      const map_type& colMap = *(graph.colMap_);
      // In a debug build, keep track of the nonowned ("bad") column
      // indices, so that we can display them in the exception
      // message.  In a release build, just ditch the loop early if
      // we encounter a nonowned column index.
#ifdef HAVE_TPETRA_DEBUG
      Teuchos::Array<GO> badColInds;
#endif  // HAVE_TPETRA_DEBUG
      const size_type numEntriesToInsert = indices.size();
      bool allInColMap                   = true;
      for (size_type k = 0; k < numEntriesToInsert; ++k) {
        if (!colMap.isNodeGlobalElement(indices[k])) {
          allInColMap = false;
#ifdef HAVE_TPETRA_DEBUG
          badColInds.push_back(indices[k]);
#else
          break;
#endif  // HAVE_TPETRA_DEBUG
        }
      }
      if (!allInColMap) {
        std::ostringstream os;
        os << "You attempted to insert entries in owned row " << gblRow
           << ", at the following column indices: " << toString(indices)
           << "." << endl;
#ifdef HAVE_TPETRA_DEBUG
        os << "Of those, the following indices are not in the column Map "
              "on this process: "
           << toString(badColInds) << "." << endl
           << "Since the matrix has a column Map already, it is invalid "
              "to insert entries at those locations.";
#else
        os << "At least one of those indices is not in the column Map "
              "on this process."
           << endl
           << "It is invalid to insert into "
              "columns not in the column Map on the process that owns the "
              "row.";
#endif  // HAVE_TPETRA_DEBUG
        TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::invalid_argument, os.str());
      }
    }

    this->insertGlobalValuesImpl(graph, rowInfo, inputGblColInds,
                                 inputVals, numInputEnt);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    insertGlobalValues(const GlobalOrdinal globalRow,
                       const LocalOrdinal numEnt,
                       const Scalar vals[],
                       const GlobalOrdinal inds[]) {
  Teuchos::ArrayView<const GlobalOrdinal> indsT(inds, numEnt);
  Teuchos::ArrayView<const Scalar> valsT(vals, numEnt);
  this->insertGlobalValues(globalRow, indsT, valsT);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    insertGlobalValuesFiltered(
        const GlobalOrdinal gblRow,
        const Teuchos::ArrayView<const GlobalOrdinal>& indices,
        const Teuchos::ArrayView<const Scalar>& values,
        const bool debug) {
  typedef impl_scalar_type IST;
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;
  typedef Tpetra::Details::OrdinalTraits<LO> OTLO;
  const char tfecfFuncName[] = "insertGlobalValuesFiltered: ";

  if (debug) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(values.size() != indices.size(), std::runtime_error,
                                          "values.size() = " << values.size() << " != indices.size() = "
                                                             << indices.size() << ".");
  }

  // getRowMap() is not thread safe, because it increments RCP's
  // reference count.  getCrsGraphRef() is thread safe.
  const map_type& rowMap = *(this->getCrsGraphRef().rowMap_);
  const LO lclRow        = rowMap.getLocalElement(gblRow);
  if (lclRow == OTLO::invalid()) {
    // Input row is _not_ owned by the calling process.
    //
    // See a note (now deleted) from mfh 14 Dec 2012: If input row
    // is not in the row Map, it doesn't matter whether or not the
    // graph is static; the data just get stashed for later use by
    // globalAssemble().
    this->insertNonownedGlobalValues(gblRow, indices, values);
  } else {  // Input row _is_ owned by the calling process
    if (this->isStaticGraph()) {
      // Uh oh!  Not allowed to insert into owned rows in that case.
      const int myRank   = rowMap.getComm()->getRank();
      const int numProcs = rowMap.getComm()->getSize();
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                            "The matrix was constructed with a constant (\"static\") graph, "
                                            "yet the given global row index "
                                                << gblRow << " is in the row "
                                                             "Map on the calling process (with rank "
                                                << myRank << ", of " << numProcs << " process(es)).  In this case, you may not insert "
                                                                                    "new entries into rows owned by the calling process.");
    }

    crs_graph_type& graph = *(this->myGraph_);
    const IST* const inputVals =
        reinterpret_cast<const IST*>(values.getRawPtr());
    const GO* const inputGblColInds = indices.getRawPtr();
    const size_t numInputEnt        = indices.size();
    RowInfo rowInfo                 = graph.getRowInfo(lclRow);

    if (!graph.colMap_.is_null() && graph.isLocallyIndexed()) {
      // This branch is similar in function to the following branch, but for
      // the special case that the target graph is locally indexed.
      // In this case, we cannot simply filter
      // out global indices that don't exist on the receiving process and
      // insert the remaining (global) indices, but we must convert them (the
      // remaining global indices) to local and call `insertLocalValues`.
      const map_type& colMap = *(graph.colMap_);
      size_t curOffset       = 0;
      while (curOffset < numInputEnt) {
        // Find a sequence of input indices that are in the column Map on the
        // calling process. Doing a sequence at a time, instead of one at a
        // time, amortizes some overhead.
        Teuchos::Array<LO> lclIndices;
        size_t endOffset = curOffset;
        for (; endOffset < numInputEnt; ++endOffset) {
          auto lclIndex = colMap.getLocalElement(inputGblColInds[endOffset]);
          if (lclIndex != OTLO::invalid())
            lclIndices.push_back(lclIndex);
          else
            break;
        }
        // curOffset, endOffset: half-exclusive range of indices in the column
        // Map on the calling process. If endOffset == curOffset, the range is
        // empty.
        const LO numIndInSeq = (endOffset - curOffset);
        if (numIndInSeq != 0) {
          this->insertLocalValues(lclRow, lclIndices(), values(curOffset, numIndInSeq));
        }
        // Invariant before the increment line: Either endOffset ==
        // numInputEnt, or inputGblColInds[endOffset] is not in the column Map
        // on the calling process.
        if (debug) {
          const bool invariant = endOffset == numInputEnt ||
                                 colMap.getLocalElement(inputGblColInds[endOffset]) == OTLO::invalid();
          TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!invariant, std::logic_error, std::endl
                                                                                  << "Invariant failed!");
        }
        curOffset = endOffset + 1;
      }
    } else if (!graph.colMap_.is_null()) {  // We have a column Map.
      const map_type& colMap = *(graph.colMap_);
      size_t curOffset       = 0;
      while (curOffset < numInputEnt) {
        // Find a sequence of input indices that are in the column
        // Map on the calling process.  Doing a sequence at a time,
        // instead of one at a time, amortizes some overhead.
        size_t endOffset = curOffset;
        for (; endOffset < numInputEnt &&
               colMap.getLocalElement(inputGblColInds[endOffset]) != OTLO::invalid();
             ++endOffset) {
        }
        // curOffset, endOffset: half-exclusive range of indices in
        // the column Map on the calling process.  If endOffset ==
        // curOffset, the range is empty.
        const LO numIndInSeq = (endOffset - curOffset);
        if (numIndInSeq != 0) {
          rowInfo = graph.getRowInfo(lclRow);  // KDD 5/19 Need fresh RowInfo in each loop iteration
          this->insertGlobalValuesImpl(graph, rowInfo,
                                       inputGblColInds + curOffset,
                                       inputVals + curOffset,
                                       numIndInSeq);
        }
        // Invariant before the increment line: Either endOffset ==
        // numInputEnt, or inputGblColInds[endOffset] is not in the
        // column Map on the calling process.
        if (debug) {
          const bool invariant = endOffset == numInputEnt ||
                                 colMap.getLocalElement(inputGblColInds[endOffset]) == OTLO::invalid();
          TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!invariant, std::logic_error, std::endl
                                                                                  << "Invariant failed!");
        }
        curOffset = endOffset + 1;
      }
    } else {  // we don't have a column Map.
      this->insertGlobalValuesImpl(graph, rowInfo, inputGblColInds,
                                   inputVals, numInputEnt);
    }
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    insertGlobalValuesFilteredChecked(
        const GlobalOrdinal gblRow,
        const Teuchos::ArrayView<const GlobalOrdinal>& indices,
        const Teuchos::ArrayView<const Scalar>& values,
        const char* const prefix,
        const bool debug,
        const bool verbose) {
  using Details::verbosePrintArray;
  using std::endl;

  try {
    insertGlobalValuesFiltered(gblRow, indices, values, debug);
  } catch (std::exception& e) {
    std::ostringstream os;
    if (verbose) {
      const size_t maxNumToPrint =
          Details::Behavior::verbosePrintCountThreshold();
      os << *prefix << ": insertGlobalValuesFiltered threw an "
                       "exception: "
         << e.what() << endl
         << "Global row index: " << gblRow << endl;
      verbosePrintArray(os, indices, "Global column indices",
                        maxNumToPrint);
      os << endl;
      verbosePrintArray(os, values, "Values", maxNumToPrint);
      os << endl;
    } else {
      os << ": insertGlobalValuesFiltered threw an exception: "
         << e.what();
    }
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::runtime_error, os.str());
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceLocalValuesImpl(impl_scalar_type rowVals[],
                           const crs_graph_type& graph,
                           const RowInfo& rowInfo,
                           const LocalOrdinal inds[],
                           const impl_scalar_type newVals[],
                           const LocalOrdinal numElts) {
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;
  const bool sorted = graph.isSorted();

  size_t hint = 0;  // Guess for the current index k into rowVals
  LO numValid = 0;  // number of valid local column indices

  if (graph.isLocallyIndexed()) {
    // Get a view of the column indices in the row.  This amortizes
    // the cost of getting the view over all the entries of inds.
    auto colInds = graph.getLocalIndsViewHost(rowInfo);

    for (LO j = 0; j < numElts; ++j) {
      const LO lclColInd = inds[j];
      const size_t offset =
          KokkosSparse::findRelOffset(colInds, rowInfo.numEntries,
                                      lclColInd, hint, sorted);
      if (offset != rowInfo.numEntries) {
        rowVals[offset] = newVals[j];
        hint            = offset + 1;
        ++numValid;
      }
    }
  } else if (graph.isGloballyIndexed()) {
    if (graph.colMap_.is_null()) {
      return Teuchos::OrdinalTraits<LO>::invalid();
    }
    const map_type colMap = *(graph.colMap_);

    // Get a view of the column indices in the row.  This amortizes
    // the cost of getting the view over all the entries of inds.
    auto colInds = graph.getGlobalIndsViewHost(rowInfo);

    for (LO j = 0; j < numElts; ++j) {
      const GO gblColInd = colMap.getGlobalElement(inds[j]);
      if (gblColInd != Teuchos::OrdinalTraits<GO>::invalid()) {
        const size_t offset =
            KokkosSparse::findRelOffset(colInds, rowInfo.numEntries,
                                        gblColInd, hint, sorted);
        if (offset != rowInfo.numEntries) {
          rowVals[offset] = newVals[j];
          hint            = offset + 1;
          ++numValid;
        }
      }
    }
  }
  // NOTE (mfh 26 Jun 2014, 26 Nov 2015) In the current version of
  // CrsGraph and CrsMatrix, it's possible for a matrix (or graph)
  // to be neither locally nor globally indexed on a process.
  // This means that the graph or matrix has no entries on that
  // process.  Epetra also works like this.  It's related to lazy
  // allocation (on first insertion, not at graph / matrix
  // construction).  Lazy allocation will go away because it is
  // not thread scalable.

  return numValid;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceLocalValues(const LocalOrdinal localRow,
                       const Teuchos::ArrayView<const LocalOrdinal>& lclCols,
                       const Teuchos::ArrayView<const Scalar>& vals) {
  typedef LocalOrdinal LO;

  const LO numInputEnt = static_cast<LO>(lclCols.size());
  if (static_cast<LO>(vals.size()) != numInputEnt) {
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  const LO* const inputInds     = lclCols.getRawPtr();
  const Scalar* const inputVals = vals.getRawPtr();
  return this->replaceLocalValues(localRow, numInputEnt,
                                  inputVals, inputInds);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    local_ordinal_type
    CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
        replaceLocalValues(
            const local_ordinal_type localRow,
            const Kokkos::View<const local_ordinal_type*, Kokkos::AnonymousSpace>& inputInds,
            const Kokkos::View<const impl_scalar_type*, Kokkos::AnonymousSpace>& inputVals) {
  using LO             = local_ordinal_type;
  const LO numInputEnt = inputInds.extent(0);
  if (numInputEnt != static_cast<LO>(inputVals.extent(0))) {
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  const Scalar* const inVals =
      reinterpret_cast<const Scalar*>(inputVals.data());
  return this->replaceLocalValues(localRow, numInputEnt,
                                  inVals, inputInds.data());
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceLocalValues(const LocalOrdinal localRow,
                       const LocalOrdinal numEnt,
                       const Scalar inputVals[],
                       const LocalOrdinal inputCols[]) {
  typedef impl_scalar_type IST;
  typedef LocalOrdinal LO;

  if (!this->isFillActive() || this->staticGraph_.is_null()) {
    // Fill must be active and the "nonconst" graph must exist.
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  const crs_graph_type& graph = *(this->staticGraph_);
  const RowInfo rowInfo       = graph.getRowInfo(localRow);

  if (rowInfo.localRow == Teuchos::OrdinalTraits<size_t>::invalid()) {
    // The calling process does not own this row, so it is not
    // allowed to modify its values.
    return static_cast<LO>(0);
  }
  auto curRowVals         = this->getValuesViewHostNonConst(rowInfo);
  const IST* const inVals = reinterpret_cast<const IST*>(inputVals);
  return this->replaceLocalValuesImpl(curRowVals.data(), graph, rowInfo,
                                      inputCols, inVals, numEnt);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceGlobalValuesImpl(impl_scalar_type rowVals[],
                            const crs_graph_type& graph,
                            const RowInfo& rowInfo,
                            const GlobalOrdinal inds[],
                            const impl_scalar_type newVals[],
                            const LocalOrdinal numElts) {
  Teuchos::ArrayView<const GlobalOrdinal> indsT(inds, numElts);
  auto fun =
      [&](size_t const k, size_t const /*start*/, size_t const offset) {
        rowVals[offset] = newVals[k];
      };
  std::function<void(size_t const, size_t const, size_t const)> cb(std::ref(fun));
  return graph.findGlobalIndices(rowInfo, indsT, cb);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceGlobalValues(const GlobalOrdinal globalRow,
                        const Teuchos::ArrayView<const GlobalOrdinal>& inputGblColInds,
                        const Teuchos::ArrayView<const Scalar>& inputVals) {
  typedef LocalOrdinal LO;

  const LO numInputEnt = static_cast<LO>(inputGblColInds.size());
  if (static_cast<LO>(inputVals.size()) != numInputEnt) {
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  return this->replaceGlobalValues(globalRow, numInputEnt,
                                   inputVals.getRawPtr(),
                                   inputGblColInds.getRawPtr());
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceGlobalValues(const GlobalOrdinal globalRow,
                        const LocalOrdinal numEnt,
                        const Scalar inputVals[],
                        const GlobalOrdinal inputGblColInds[]) {
  typedef impl_scalar_type IST;
  typedef LocalOrdinal LO;

  if (!this->isFillActive() || this->staticGraph_.is_null()) {
    // Fill must be active and the "nonconst" graph must exist.
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  const crs_graph_type& graph = *(this->staticGraph_);

  const RowInfo rowInfo = graph.getRowInfoFromGlobalRowIndex(globalRow);
  if (rowInfo.localRow == Teuchos::OrdinalTraits<size_t>::invalid()) {
    // The input local row is invalid on the calling process,
    // which means that the calling process summed 0 entries.
    return static_cast<LO>(0);
  }

  auto curRowVals         = this->getValuesViewHostNonConst(rowInfo);
  const IST* const inVals = reinterpret_cast<const IST*>(inputVals);
  return this->replaceGlobalValuesImpl(curRowVals.data(), graph, rowInfo,
                                       inputGblColInds, inVals, numEnt);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    local_ordinal_type
    CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
        replaceGlobalValues(
            const global_ordinal_type globalRow,
            const Kokkos::View<const global_ordinal_type*, Kokkos::AnonymousSpace>& inputInds,
            const Kokkos::View<const impl_scalar_type*, Kokkos::AnonymousSpace>& inputVals) {
  // We use static_assert here to check the template parameters,
  // rather than std::enable_if (e.g., on the return value, to
  // enable compilation only if the template parameters match the
  // desired attributes).  This turns obscure link errors into
  // clear compilation errors.  It also makes the return value a
  // lot easier to see.
  using LO             = local_ordinal_type;
  const LO numInputEnt = static_cast<LO>(inputInds.extent(0));
  if (static_cast<LO>(inputVals.extent(0)) != numInputEnt) {
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  const Scalar* const inVals =
      reinterpret_cast<const Scalar*>(inputVals.data());
  return this->replaceGlobalValues(globalRow, numInputEnt, inVals,
                                   inputInds.data());
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    sumIntoGlobalValuesImpl(impl_scalar_type rowVals[],
                            const crs_graph_type& graph,
                            const RowInfo& rowInfo,
                            const GlobalOrdinal inds[],
                            const impl_scalar_type newVals[],
                            const LocalOrdinal numElts,
                            const bool atomic) {
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;

  const bool sorted = graph.isSorted();

  size_t hint = 0;  // guess at the index's relative offset in the row
  LO numValid = 0;  // number of valid input column indices

  if (graph.isLocallyIndexed()) {
    // NOTE (mfh 04 Nov 2015) Dereferencing an RCP or reading its
    // pointer does NOT change its reference count.  Thus, this
    // code is still thread safe.
    if (graph.colMap_.is_null()) {
      // NO input column indices are valid in this case, since if
      // the column Map is null on the calling process, then the
      // calling process owns no graph entries.
      return numValid;
    }
    const map_type& colMap = *(graph.colMap_);

    // Get a view of the column indices in the row.  This amortizes
    // the cost of getting the view over all the entries of inds.
    auto colInds  = graph.getLocalIndsViewHost(rowInfo);
    const LO LINV = Teuchos::OrdinalTraits<LO>::invalid();

    for (LO j = 0; j < numElts; ++j) {
      const LO lclColInd = colMap.getLocalElement(inds[j]);
      if (lclColInd != LINV) {
        const size_t offset =
            KokkosSparse::findRelOffset(colInds, rowInfo.numEntries,
                                        lclColInd, hint, sorted);
        if (offset != rowInfo.numEntries) {
          if (atomic) {
            Kokkos::atomic_add(&rowVals[offset], newVals[j]);
          } else {
            rowVals[offset] += newVals[j];
          }
          hint = offset + 1;
          numValid++;
        }
      }
    }
  } else if (graph.isGloballyIndexed()) {
    // Get a view of the column indices in the row.  This amortizes
    // the cost of getting the view over all the entries of inds.
    auto colInds = graph.getGlobalIndsViewHost(rowInfo);

    for (LO j = 0; j < numElts; ++j) {
      const GO gblColInd = inds[j];
      const size_t offset =
          KokkosSparse::findRelOffset(colInds, rowInfo.numEntries,
                                      gblColInd, hint, sorted);
      if (offset != rowInfo.numEntries) {
        if (atomic) {
          Kokkos::atomic_add(&rowVals[offset], newVals[j]);
        } else {
          rowVals[offset] += newVals[j];
        }
        hint = offset + 1;
        numValid++;
      }
    }
  }
  // If the graph is neither locally nor globally indexed on the
  // calling process, that means the calling process has no graph
  // entries.  Thus, none of the input column indices are valid.

  return numValid;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    sumIntoGlobalValues(const GlobalOrdinal gblRow,
                        const Teuchos::ArrayView<const GlobalOrdinal>& inputGblColInds,
                        const Teuchos::ArrayView<const Scalar>& inputVals,
                        const bool atomic) {
  typedef LocalOrdinal LO;

  const LO numInputEnt = static_cast<LO>(inputGblColInds.size());
  if (static_cast<LO>(inputVals.size()) != numInputEnt) {
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  return this->sumIntoGlobalValues(gblRow, numInputEnt,
                                   inputVals.getRawPtr(),
                                   inputGblColInds.getRawPtr(),
                                   atomic);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    sumIntoGlobalValues(const GlobalOrdinal gblRow,
                        const LocalOrdinal numInputEnt,
                        const Scalar inputVals[],
                        const GlobalOrdinal inputGblColInds[],
                        const bool atomic) {
  typedef impl_scalar_type IST;
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;

  if (!this->isFillActive() || this->staticGraph_.is_null()) {
    // Fill must be active and the "nonconst" graph must exist.
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  const crs_graph_type& graph = *(this->staticGraph_);

  const RowInfo rowInfo = graph.getRowInfoFromGlobalRowIndex(gblRow);
  if (rowInfo.localRow == Teuchos::OrdinalTraits<size_t>::invalid()) {
    // mfh 23 Mar 2017, 26 Jul 2017: This branch may not be not
    // thread safe in a debug build, in part because it uses
    // Teuchos::ArrayView, and in part because of the data structure
    // used to stash outgoing entries.
    using Teuchos::ArrayView;
    ArrayView<const GO> inputGblColInds_av(
        numInputEnt == 0 ? nullptr : inputGblColInds,
        numInputEnt);
    ArrayView<const Scalar> inputVals_av(
        numInputEnt == 0 ? nullptr : inputVals, numInputEnt);
    // gblRow is not in the row Map on the calling process, so stash
    // the given entries away in a separate data structure.
    // globalAssemble() (called during fillComplete()) will exchange
    // that data and sum it in using sumIntoGlobalValues().
    this->insertNonownedGlobalValues(gblRow, inputGblColInds_av,
                                     inputVals_av);
    // FIXME (mfh 08 Jul 2014) It's not clear what to return here,
    // since we won't know whether the given indices were valid
    // until globalAssemble (called in fillComplete) is called.
    // That's why insertNonownedGlobalValues doesn't return
    // anything.  Just for consistency, I'll return the number of
    // entries that the user gave us.
    return numInputEnt;
  } else {  // input row is in the row Map on the calling process
    auto curRowVals         = this->getValuesViewHostNonConst(rowInfo);
    const IST* const inVals = reinterpret_cast<const IST*>(inputVals);
    return this->sumIntoGlobalValuesImpl(curRowVals.data(), graph, rowInfo,
                                         inputGblColInds, inVals,
                                         numInputEnt, atomic);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    transformLocalValues(const LocalOrdinal lclRow,
                         const LocalOrdinal numInputEnt,
                         const impl_scalar_type inputVals[],
                         const LocalOrdinal inputCols[],
                         std::function<impl_scalar_type(const impl_scalar_type&, const impl_scalar_type&)> f,
                         const bool atomic) {
  using Tpetra::Details::OrdinalTraits;
  typedef LocalOrdinal LO;

  if (!this->isFillActive() || this->staticGraph_.is_null()) {
    // Fill must be active and the "nonconst" graph must exist.
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  const crs_graph_type& graph = *(this->staticGraph_);
  const RowInfo rowInfo       = graph.getRowInfo(lclRow);

  if (rowInfo.localRow == OrdinalTraits<size_t>::invalid()) {
    // The calling process does not own this row, so it is not
    // allowed to modify its values.
    return static_cast<LO>(0);
  }
  auto curRowVals = this->getValuesViewHostNonConst(rowInfo);
  return this->transformLocalValues(curRowVals.data(), graph,
                                    rowInfo, inputCols, inputVals,
                                    numInputEnt, f, atomic);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    transformGlobalValues(const GlobalOrdinal gblRow,
                          const LocalOrdinal numInputEnt,
                          const impl_scalar_type inputVals[],
                          const GlobalOrdinal inputCols[],
                          std::function<impl_scalar_type(const impl_scalar_type&, const impl_scalar_type&)> f,
                          const bool atomic) {
  using Tpetra::Details::OrdinalTraits;
  typedef LocalOrdinal LO;

  if (!this->isFillActive() || this->staticGraph_.is_null()) {
    // Fill must be active and the "nonconst" graph must exist.
    return OrdinalTraits<LO>::invalid();
  }
  const crs_graph_type& graph = *(this->staticGraph_);
  const RowInfo rowInfo       = graph.getRowInfoFromGlobalRowIndex(gblRow);

  if (rowInfo.localRow == OrdinalTraits<size_t>::invalid()) {
    // The calling process does not own this row, so it is not
    // allowed to modify its values.
    return static_cast<LO>(0);
  }
  auto curRowVals = this->getValuesViewHostNonConst(rowInfo);
  return this->transformGlobalValues(curRowVals.data(), graph,
                                     rowInfo, inputCols, inputVals,
                                     numInputEnt, f, atomic);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    transformLocalValues(impl_scalar_type rowVals[],
                         const crs_graph_type& graph,
                         const RowInfo& rowInfo,
                         const LocalOrdinal inds[],
                         const impl_scalar_type newVals[],
                         const LocalOrdinal numElts,
                         std::function<impl_scalar_type(const impl_scalar_type&, const impl_scalar_type&)> f,
                         const bool atomic) {
  typedef impl_scalar_type ST;
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;

  // if (newVals.extent (0) != inds.extent (0)) {
  //  The sizes of the input arrays must match.
  // return Tpetra::Details::OrdinalTraits<LO>::invalid ();
  // }
  // const LO numElts = static_cast<LO> (inds.extent (0));
  const bool sorted = graph.isSorted();

  LO numValid = 0;  // number of valid input column indices
  size_t hint = 0;  // Guess for the current index k into rowVals

  if (graph.isLocallyIndexed()) {
    // Get a view of the column indices in the row.  This amortizes
    // the cost of getting the view over all the entries of inds.
    auto colInds = graph.getLocalIndsViewHost(rowInfo);

    for (LO j = 0; j < numElts; ++j) {
      const LO lclColInd = inds[j];
      const size_t offset =
          KokkosSparse::findRelOffset(colInds, rowInfo.numEntries,
                                      lclColInd, hint, sorted);
      if (offset != rowInfo.numEntries) {
        if (atomic) {
          // NOTE (mfh 30 Nov 2015) The commented-out code is
          // wrong because another thread may have changed
          // rowVals[offset] between those two lines of code.
          //
          // const ST newVal = f (rowVals[offset], newVals[j]);
          // Kokkos::atomic_assign (&rowVals[offset], newVal);

          ST* const dest = &rowVals[offset];
          (void)atomic_binary_function_update(dest, newVals[j], f);
        } else {
          // use binary function f
          rowVals[offset] = f(rowVals[offset], newVals[j]);
        }
        hint = offset + 1;
        ++numValid;
      }
    }
  } else if (graph.isGloballyIndexed()) {
    // NOTE (mfh 26 Nov 2015) Dereferencing an RCP or reading its
    // pointer does NOT change its reference count.  Thus, this
    // code is still thread safe.
    if (graph.colMap_.is_null()) {
      // NO input column indices are valid in this case.  Either
      // the column Map hasn't been set yet (so local indices
      // don't exist yet), or the calling process owns no graph
      // entries.
      return numValid;
    }
    const map_type& colMap = *(graph.colMap_);
    // Get a view of the column indices in the row.  This amortizes
    // the cost of getting the view over all the entries of inds.
    auto colInds = graph.getGlobalIndsViewHost(rowInfo);

    const GO GINV = Teuchos::OrdinalTraits<GO>::invalid();
    for (LO j = 0; j < numElts; ++j) {
      const GO gblColInd = colMap.getGlobalElement(inds[j]);
      if (gblColInd != GINV) {
        const size_t offset =
            KokkosSparse::findRelOffset(colInds, rowInfo.numEntries,
                                        gblColInd, hint, sorted);
        if (offset != rowInfo.numEntries) {
          if (atomic) {
            // NOTE (mfh 30 Nov 2015) The commented-out code is
            // wrong because another thread may have changed
            // rowVals[offset] between those two lines of code.
            //
            // const ST newVal = f (rowVals[offset], newVals[j]);
            // Kokkos::atomic_assign (&rowVals[offset], newVal);

            ST* const dest = &rowVals[offset];
            (void)atomic_binary_function_update(dest, newVals[j], f);
          } else {
            // use binary function f
            rowVals[offset] = f(rowVals[offset], newVals[j]);
          }
          hint = offset + 1;
          numValid++;
        }
      }
    }
  }
  // If the graph is neither locally nor globally indexed on the
  // calling process, that means the calling process has no graph
  // entries.  Thus, none of the input column indices are valid.

  return numValid;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    transformGlobalValues(impl_scalar_type rowVals[],
                          const crs_graph_type& graph,
                          const RowInfo& rowInfo,
                          const GlobalOrdinal inds[],
                          const impl_scalar_type newVals[],
                          const LocalOrdinal numElts,
                          std::function<impl_scalar_type(const impl_scalar_type&, const impl_scalar_type&)> f,
                          const bool atomic) {
  typedef impl_scalar_type ST;
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;

  // if (newVals.extent (0) != inds.extent (0)) {
  //  The sizes of the input arrays must match.
  // return Tpetra::Details::OrdinalTraits<LO>::invalid ();
  // }
  // const LO numElts = static_cast<LO> (inds.extent (0));
  const bool sorted = graph.isSorted();

  LO numValid = 0;  // number of valid input column indices
  size_t hint = 0;  // Guess for the current index k into rowVals

  if (graph.isGloballyIndexed()) {
    // Get a view of the column indices in the row.  This amortizes
    // the cost of getting the view over all the entries of inds.
    auto colInds = graph.getGlobalIndsViewHost(rowInfo);

    for (LO j = 0; j < numElts; ++j) {
      const GO gblColInd = inds[j];
      const size_t offset =
          KokkosSparse::findRelOffset(colInds, rowInfo.numEntries,
                                      gblColInd, hint, sorted);
      if (offset != rowInfo.numEntries) {
        if (atomic) {
          // NOTE (mfh 30 Nov 2015) The commented-out code is
          // wrong because another thread may have changed
          // rowVals[offset] between those two lines of code.
          //
          // const ST newVal = f (rowVals[offset], newVals[j]);
          // Kokkos::atomic_assign (&rowVals[offset], newVal);

          ST* const dest = &rowVals[offset];
          (void)atomic_binary_function_update(dest, newVals[j], f);
        } else {
          // use binary function f
          rowVals[offset] = f(rowVals[offset], newVals[j]);
        }
        hint = offset + 1;
        ++numValid;
      }
    }
  } else if (graph.isLocallyIndexed()) {
    // NOTE (mfh 26 Nov 2015) Dereferencing an RCP or reading its
    // pointer does NOT change its reference count.  Thus, this
    // code is still thread safe.
    if (graph.colMap_.is_null()) {
      // NO input column indices are valid in this case.  Either the
      // column Map hasn't been set yet (so local indices don't
      // exist yet), or the calling process owns no graph entries.
      return numValid;
    }
    const map_type& colMap = *(graph.colMap_);
    // Get a view of the column indices in the row.  This amortizes
    // the cost of getting the view over all the entries of inds.
    auto colInds = graph.getLocalIndsViewHost(rowInfo);

    const LO LINV = Teuchos::OrdinalTraits<LO>::invalid();
    for (LO j = 0; j < numElts; ++j) {
      const LO lclColInd = colMap.getLocalElement(inds[j]);
      if (lclColInd != LINV) {
        const size_t offset =
            KokkosSparse::findRelOffset(colInds, rowInfo.numEntries,
                                        lclColInd, hint, sorted);
        if (offset != rowInfo.numEntries) {
          if (atomic) {
            // NOTE (mfh 30 Nov 2015) The commented-out code is
            // wrong because another thread may have changed
            // rowVals[offset] between those two lines of code.
            //
            // const ST newVal = f (rowVals[offset], newVals[j]);
            // Kokkos::atomic_assign (&rowVals[offset], newVal);

            ST* const dest = &rowVals[offset];
            (void)atomic_binary_function_update(dest, newVals[j], f);
          } else {
            // use binary function f
            rowVals[offset] = f(rowVals[offset], newVals[j]);
          }
          hint = offset + 1;
          numValid++;
        }
      }
    }
  }
  // If the graph is neither locally nor globally indexed on the
  // calling process, that means the calling process has no graph
  // entries.  Thus, none of the input column indices are valid.

  return numValid;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    sumIntoLocalValuesImpl(impl_scalar_type rowVals[],
                           const crs_graph_type& graph,
                           const RowInfo& rowInfo,
                           const LocalOrdinal inds[],
                           const impl_scalar_type newVals[],
                           const LocalOrdinal numElts,
                           const bool atomic) {
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;

  const bool sorted = graph.isSorted();

  size_t hint = 0;  // Guess for the current index k into rowVals
  LO numValid = 0;  // number of valid local column indices

  if (graph.isLocallyIndexed()) {
    // Get a view of the column indices in the row.  This amortizes
    // the cost of getting the view over all the entries of inds.
    auto colInds = graph.getLocalIndsViewHost(rowInfo);

    for (LO j = 0; j < numElts; ++j) {
      const LO lclColInd = inds[j];
      const size_t offset =
          KokkosSparse::findRelOffset(colInds, rowInfo.numEntries,
                                      lclColInd, hint, sorted);
      if (offset != rowInfo.numEntries) {
        if (atomic) {
          Kokkos::atomic_add(&rowVals[offset], newVals[j]);
        } else {
          rowVals[offset] += newVals[j];
        }
        hint = offset + 1;
        ++numValid;
      }
    }
  } else if (graph.isGloballyIndexed()) {
    if (graph.colMap_.is_null()) {
      return Teuchos::OrdinalTraits<LO>::invalid();
    }
    const map_type colMap = *(graph.colMap_);

    // Get a view of the column indices in the row.  This amortizes
    // the cost of getting the view over all the entries of inds.
    auto colInds = graph.getGlobalIndsViewHost(rowInfo);

    for (LO j = 0; j < numElts; ++j) {
      const GO gblColInd = colMap.getGlobalElement(inds[j]);
      if (gblColInd != Teuchos::OrdinalTraits<GO>::invalid()) {
        const size_t offset =
            KokkosSparse::findRelOffset(colInds, rowInfo.numEntries,
                                        gblColInd, hint, sorted);
        if (offset != rowInfo.numEntries) {
          if (atomic) {
            Kokkos::atomic_add(&rowVals[offset], newVals[j]);
          } else {
            rowVals[offset] += newVals[j];
          }
          hint = offset + 1;
          ++numValid;
        }
      }
    }
  }
  // NOTE (mfh 26 Jun 2014, 26 Nov 2015) In the current version of
  // CrsGraph and CrsMatrix, it's possible for a matrix (or graph)
  // to be neither locally nor globally indexed on a process.
  // This means that the graph or matrix has no entries on that
  // process.  Epetra also works like this.  It's related to lazy
  // allocation (on first insertion, not at graph / matrix
  // construction).  Lazy allocation will go away because it is
  // not thread scalable.

  return numValid;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    sumIntoLocalValues(const LocalOrdinal localRow,
                       const Teuchos::ArrayView<const LocalOrdinal>& indices,
                       const Teuchos::ArrayView<const Scalar>& values,
                       const bool atomic) {
  using LO             = local_ordinal_type;
  const LO numInputEnt = static_cast<LO>(indices.size());
  if (static_cast<LO>(values.size()) != numInputEnt) {
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  const LO* const inputInds          = indices.getRawPtr();
  const scalar_type* const inputVals = values.getRawPtr();
  return this->sumIntoLocalValues(localRow, numInputEnt,
                                  inputVals, inputInds, atomic);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    local_ordinal_type
    CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
        sumIntoLocalValues(
            const local_ordinal_type localRow,
            const Kokkos::View<const local_ordinal_type*, Kokkos::AnonymousSpace>& inputInds,
            const Kokkos::View<const impl_scalar_type*, Kokkos::AnonymousSpace>& inputVals,
            const bool atomic) {
  using LO             = local_ordinal_type;
  const LO numInputEnt = static_cast<LO>(inputInds.extent(0));
  if (static_cast<LO>(inputVals.extent(0)) != numInputEnt) {
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  const scalar_type* inVals =
      reinterpret_cast<const scalar_type*>(inputVals.data());
  return this->sumIntoLocalValues(localRow, numInputEnt, inVals,
                                  inputInds.data(), atomic);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    sumIntoLocalValues(const LocalOrdinal localRow,
                       const LocalOrdinal numEnt,
                       const Scalar vals[],
                       const LocalOrdinal cols[],
                       const bool atomic) {
  typedef impl_scalar_type IST;
  typedef LocalOrdinal LO;

  if (!this->isFillActive() || this->staticGraph_.is_null()) {
    // Fill must be active and the "nonconst" graph must exist.
    return Teuchos::OrdinalTraits<LO>::invalid();
  }
  const crs_graph_type& graph = *(this->staticGraph_);
  const RowInfo rowInfo       = graph.getRowInfo(localRow);

  if (rowInfo.localRow == Teuchos::OrdinalTraits<size_t>::invalid()) {
    // The calling process does not own this row, so it is not
    // allowed to modify its values.
    return static_cast<LO>(0);
  }
  auto curRowVals            = this->getValuesViewHostNonConst(rowInfo);
  const IST* const inputVals = reinterpret_cast<const IST*>(vals);
  return this->sumIntoLocalValuesImpl(curRowVals.data(), graph, rowInfo,
                                      cols, inputVals, numEnt, atomic);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    values_dualv_type::t_host::const_type
    CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
        getValuesViewHost(const RowInfo& rowinfo) const {
  if (rowinfo.allocSize == 0 || valuesUnpacked_wdv.extent(0) == 0)
    return typename values_dualv_type::t_host::const_type();
  else
    return valuesUnpacked_wdv.getHostSubview(rowinfo.offset1D,
                                             rowinfo.allocSize,
                                             Access::ReadOnly);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    values_dualv_type::t_host
    CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
        getValuesViewHostNonConst(const RowInfo& rowinfo) {
  if (rowinfo.allocSize == 0 || valuesUnpacked_wdv.extent(0) == 0)
    return typename values_dualv_type::t_host();
  else
    return valuesUnpacked_wdv.getHostSubview(rowinfo.offset1D,
                                             rowinfo.allocSize,
                                             Access::ReadWrite);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    values_dualv_type::t_dev::const_type
    CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
        getValuesViewDevice(const RowInfo& rowinfo) const {
  if (rowinfo.allocSize == 0 || valuesUnpacked_wdv.extent(0) == 0)
    return typename values_dualv_type::t_dev::const_type();
  else
    return valuesUnpacked_wdv.getDeviceSubview(rowinfo.offset1D,
                                               rowinfo.allocSize,
                                               Access::ReadOnly);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    values_dualv_type::t_dev
    CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
        getValuesViewDeviceNonConst(const RowInfo& rowinfo) {
  if (rowinfo.allocSize == 0 || valuesUnpacked_wdv.extent(0) == 0)
    return typename values_dualv_type::t_dev();
  else
    return valuesUnpacked_wdv.getDeviceSubview(rowinfo.offset1D,
                                               rowinfo.allocSize,
                                               Access::ReadWrite);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalRowCopy(local_ordinal_type localRow,
                    nonconst_local_inds_host_view_type& indices,
                    nonconst_values_host_view_type& values,
                    size_t& numEntries) const {
  using Teuchos::ArrayView;
  using Teuchos::av_reinterpret_cast;
  const char tfecfFuncName[] = "getLocalRowCopy: ";

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!this->hasColMap(), std::runtime_error,
                                        "The matrix does not have a column Map yet.  This means we don't have "
                                        "local indices for columns yet, so it doesn't make sense to call this "
                                        "method.  If the matrix doesn't have a column Map yet, you should call "
                                        "fillComplete on it first.");

  const RowInfo rowinfo      = staticGraph_->getRowInfo(localRow);
  const size_t theNumEntries = rowinfo.numEntries;
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(static_cast<size_t>(indices.size()) < theNumEntries ||
                                            static_cast<size_t>(values.size()) < theNumEntries,
                                        std::runtime_error, "Row with local index " << localRow << " has " << theNumEntries << " entry/ies, but indices.size() = " << indices.size() << " and values.size() = " << values.size() << ".");
  numEntries = theNumEntries;  // first side effect

  if (rowinfo.localRow != Teuchos::OrdinalTraits<size_t>::invalid()) {
    if (staticGraph_->isLocallyIndexed()) {
      auto curLclInds = staticGraph_->getLocalIndsViewHost(rowinfo);
      auto curVals    = getValuesViewHost(rowinfo);

      for (size_t j = 0; j < theNumEntries; ++j) {
        values[j]  = curVals[j];
        indices[j] = curLclInds(j);
      }
    } else if (staticGraph_->isGloballyIndexed()) {
      // Don't call getColMap(), because it touches RCP's reference count.
      const map_type& colMap = *(staticGraph_->colMap_);
      auto curGblInds        = staticGraph_->getGlobalIndsViewHost(rowinfo);
      auto curVals           = getValuesViewHost(rowinfo);

      for (size_t j = 0; j < theNumEntries; ++j) {
        values[j]  = curVals[j];
        indices[j] = colMap.getLocalElement(curGblInds(j));
      }
    }
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getGlobalRowCopy(global_ordinal_type globalRow,
                     nonconst_global_inds_host_view_type& indices,
                     nonconst_values_host_view_type& values,
                     size_t& numEntries) const {
  using Teuchos::ArrayView;
  using Teuchos::av_reinterpret_cast;
  const char tfecfFuncName[] = "getGlobalRowCopy: ";

  const RowInfo rowinfo =
      staticGraph_->getRowInfoFromGlobalRowIndex(globalRow);
  const size_t theNumEntries = rowinfo.numEntries;
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      static_cast<size_t>(indices.size()) < theNumEntries ||
          static_cast<size_t>(values.size()) < theNumEntries,
      std::runtime_error, "Row with global index " << globalRow << " has " << theNumEntries << " entry/ies, but indices.size() = " << indices.size() << " and values.size() = " << values.size() << ".");
  numEntries = theNumEntries;  // first side effect

  if (rowinfo.localRow != Teuchos::OrdinalTraits<size_t>::invalid()) {
    if (staticGraph_->isLocallyIndexed()) {
      const map_type& colMap = *(staticGraph_->colMap_);
      auto curLclInds        = staticGraph_->getLocalIndsViewHost(rowinfo);
      auto curVals           = getValuesViewHost(rowinfo);

      for (size_t j = 0; j < theNumEntries; ++j) {
        values[j]  = curVals[j];
        indices[j] = colMap.getGlobalElement(curLclInds(j));
      }
    } else if (staticGraph_->isGloballyIndexed()) {
      auto curGblInds = staticGraph_->getGlobalIndsViewHost(rowinfo);
      auto curVals    = getValuesViewHost(rowinfo);

      for (size_t j = 0; j < theNumEntries; ++j) {
        values[j]  = curVals[j];
        indices[j] = curGblInds(j);
      }
    }
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalRowView(LocalOrdinal localRow,
                    local_inds_host_view_type& indices,
                    values_host_view_type& values) const {
  const char tfecfFuncName[] = "getLocalRowView: ";

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      isGloballyIndexed(), std::runtime_error,
      "The matrix currently stores "
      "its indices as global indices, so you cannot get a view with local "
      "column indices.  If the matrix has a column Map, you may call "
      "getLocalRowCopy() to get local column indices; otherwise, you may get "
      "a view with global column indices by calling getGlobalRowCopy().");

  const RowInfo rowInfo = staticGraph_->getRowInfo(localRow);
  if (rowInfo.localRow != Teuchos::OrdinalTraits<size_t>::invalid() &&
      rowInfo.numEntries > 0) {
    indices = staticGraph_->lclIndsUnpacked_wdv.getHostSubview(
        rowInfo.offset1D,
        rowInfo.numEntries,
        Access::ReadOnly);
    values = valuesUnpacked_wdv.getHostSubview(rowInfo.offset1D,
                                               rowInfo.numEntries,
                                               Access::ReadOnly);
  } else {
    // This does the right thing (reports an empty row) if the input
    // row is invalid.
    indices = local_inds_host_view_type();
    values  = values_host_view_type();
  }

#ifdef HAVE_TPETRA_DEBUG
  const char suffix[] =
      ".  This should never happen.  Please report this "
      "bug to the Tpetra developers.";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(static_cast<size_t>(indices.size()) !=
                                            static_cast<size_t>(values.size()),
                                        std::logic_error,
                                        "At the end of this method, for local row " << localRow << ", "
                                                                                                   "indices.size() = "
                                                                                    << indices.size() << " != values.size () = "
                                                                                    << values.size() << suffix);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(static_cast<size_t>(indices.size()) !=
                                            static_cast<size_t>(rowInfo.numEntries),
                                        std::logic_error,
                                        "At the end of this method, for local row " << localRow << ", "
                                                                                                   "indices.size() = "
                                                                                    << indices.size() << " != rowInfo.numEntries = "
                                                                                    << rowInfo.numEntries << suffix);
  const size_t expectedNumEntries = getNumEntriesInLocalRow(localRow);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(rowInfo.numEntries != expectedNumEntries, std::logic_error,
                                        "At the end "
                                        "of this method, for local row "
                                            << localRow << ", rowInfo.numEntries = "
                                            << rowInfo.numEntries << " != getNumEntriesInLocalRow(localRow) = " << expectedNumEntries << suffix);
#endif  // HAVE_TPETRA_DEBUG
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getGlobalRowView(GlobalOrdinal globalRow,
                     global_inds_host_view_type& indices,
                     values_host_view_type& values) const {
  const char tfecfFuncName[] = "getGlobalRowView: ";

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      isLocallyIndexed(), std::runtime_error,
      "The matrix is locally indexed, so we cannot return a view of the row "
      "with global column indices.  Use getGlobalRowCopy() instead.");

  // This does the right thing (reports an empty row) if the input
  // row is invalid.
  const RowInfo rowInfo =
      staticGraph_->getRowInfoFromGlobalRowIndex(globalRow);
  if (rowInfo.localRow != Teuchos::OrdinalTraits<size_t>::invalid() &&
      rowInfo.numEntries > 0) {
    indices = staticGraph_->gblInds_wdv.getHostSubview(rowInfo.offset1D,
                                                       rowInfo.numEntries,
                                                       Access::ReadOnly);
    values  = valuesUnpacked_wdv.getHostSubview(rowInfo.offset1D,
                                                rowInfo.numEntries,
                                                Access::ReadOnly);
  } else {
    indices = global_inds_host_view_type();
    values  = values_host_view_type();
  }

#ifdef HAVE_TPETRA_DEBUG
  const char suffix[] =
      ".  This should never happen.  Please report this "
      "bug to the Tpetra developers.";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(static_cast<size_t>(indices.size()) !=
                                            static_cast<size_t>(values.size()),
                                        std::logic_error,
                                        "At the end of this method, for global row " << globalRow << ", "
                                                                                                     "indices.size() = "
                                                                                     << indices.size() << " != values.size () = "
                                                                                     << values.size() << suffix);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(static_cast<size_t>(indices.size()) !=
                                            static_cast<size_t>(rowInfo.numEntries),
                                        std::logic_error,
                                        "At the end of this method, for global row " << globalRow << ", "
                                                                                                     "indices.size() = "
                                                                                     << indices.size() << " != rowInfo.numEntries = "
                                                                                     << rowInfo.numEntries << suffix);
  const size_t expectedNumEntries = getNumEntriesInGlobalRow(globalRow);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(rowInfo.numEntries != expectedNumEntries, std::logic_error,
                                        "At the end "
                                        "of this method, for global row "
                                            << globalRow << ", rowInfo.numEntries "
                                                            "= "
                                            << rowInfo.numEntries << " != getNumEntriesInGlobalRow(globalRow) ="
                                                                     " "
                                            << expectedNumEntries << suffix);
#endif  // HAVE_TPETRA_DEBUG
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    scale(const Scalar& alpha) {
  const impl_scalar_type theAlpha = static_cast<impl_scalar_type>(alpha);

  const size_t nlrs       = staticGraph_->getLocalNumRows();
  const size_t numEntries = staticGraph_->getLocalNumEntries();
  if (!staticGraph_->indicesAreAllocated() ||
      nlrs == 0 || numEntries == 0) {
    // do nothing
  } else {
    auto vals = valuesPacked_wdv.getDeviceView(Access::ReadWrite);
    KokkosBlas::scal(vals, theAlpha, vals);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    setAllToScalar(const Scalar& alpha) {
  const impl_scalar_type theAlpha = static_cast<impl_scalar_type>(alpha);

  // replace all values in the matrix
  // it is easiest to replace all allocated values, instead of replacing only the ones with valid entries
  // however, if there are no valid entries, we can short-circuit
  // furthermore, if the values aren't allocated, we can short-circuit (no entry have been inserted so far)
  const size_t numEntries = staticGraph_->getLocalNumEntries();
  if (!staticGraph_->indicesAreAllocated() || numEntries == 0) {
    // do nothing
  } else {
    // DEEP_COPY REVIEW - VALUE-TO-DEVICE
    Kokkos::deep_copy(execution_space(), valuesUnpacked_wdv.getDeviceView(Access::OverwriteAll),
                      theAlpha);
    // CAG: This fence was found to be required on Cuda with UVM=on.
    Kokkos::fence("CrsMatrix::setAllToScalar");
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    setAllValues(const typename local_graph_device_type::row_map_type& rowPointers,
                 const typename local_graph_device_type::entries_type::non_const_type& columnIndices,
                 const typename local_matrix_device_type::values_type& values) {
  using ProfilingRegion = Details::ProfilingRegion;
  ProfilingRegion region("Tpetra::CrsMatrix::setAllValues");
  const char tfecfFuncName[] = "setAllValues: ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(columnIndices.size() != values.size(), std::invalid_argument,
                                        "columnIndices.size() = " << columnIndices.size() << " != values.size()"
                                                                                             " = "
                                                                  << values.size() << ".");
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(myGraph_.is_null(), std::runtime_error, "myGraph_ must not be null.");

  try {
    myGraph_->setAllIndices(rowPointers, columnIndices);
  } catch (std::exception& e) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "myGraph_->setAllIndices() threw an "
                                          "exception: "
                                              << e.what());
  }

  // Make sure that myGraph_ now has a local graph.  It may not be
  // fillComplete yet, so it's important to check.  We don't care
  // whether setAllIndices() did a shallow copy or a deep copy, so a
  // good way to check is to compare dimensions.
  auto lclGraph       = myGraph_->getLocalGraphDevice();
  const size_t numEnt = lclGraph.entries.extent(0);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(lclGraph.row_map.extent(0) != rowPointers.extent(0) ||
                                            numEnt != static_cast<size_t>(columnIndices.extent(0)),
                                        std::logic_error,
                                        "myGraph_->setAllIndices() did not correctly create "
                                        "local graph.  Please report this bug to the Tpetra developers.");

  valuesPacked_wdv   = values_wdv_type(values);
  valuesUnpacked_wdv = valuesPacked_wdv;

  // Storage MUST be packed, since the interface doesn't give any
  // way to indicate any extra space at the end of each row.
  this->storageStatus_ = Details::STORAGE_1D_PACKED;

  checkInternalState();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    setAllValues(const local_matrix_device_type& localDeviceMatrix) {
  using ProfilingRegion = Details::ProfilingRegion;
  ProfilingRegion region("Tpetra::CrsMatrix::setAllValues from KokkosSparse::CrsMatrix");

  auto graph = localDeviceMatrix.graph;
  // FIXME how to check whether graph is allocated

  auto rows    = graph.row_map;
  auto columns = graph.entries;
  auto values  = localDeviceMatrix.values;

  setAllValues(rows, columns, values);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    setAllValues(const Teuchos::ArrayRCP<size_t>& ptr,
                 const Teuchos::ArrayRCP<LocalOrdinal>& ind,
                 const Teuchos::ArrayRCP<Scalar>& val) {
  using Kokkos::Compat::getKokkosViewDeepCopy;
  using Teuchos::ArrayRCP;
  using Teuchos::av_reinterpret_cast;
  typedef device_type DT;
  typedef impl_scalar_type IST;
  typedef typename local_graph_device_type::row_map_type row_map_type;
  // typedef typename row_map_type::non_const_value_type row_offset_type;
  const char tfecfFuncName[] = "setAllValues(ArrayRCP<size_t>, ArrayRCP<LO>, ArrayRCP<Scalar>): ";

  // The row offset type may depend on the execution space.  It may
  // not necessarily be size_t.  If it's not, we need to make a deep
  // copy.  We need to make a deep copy anyway so that Kokkos can
  // own the memory.  Regardless, ptrIn gets the copy.
  typename row_map_type::non_const_type ptrNative("ptr", ptr.size());
  Kokkos::View<const size_t*,
               typename row_map_type::array_layout,
               Kokkos::HostSpace,
               Kokkos::MemoryUnmanaged>
      ptrSizeT(ptr.getRawPtr(), ptr.size());
  ::Tpetra::Details::copyOffsets(ptrNative, ptrSizeT);

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(ptrNative.extent(0) != ptrSizeT.extent(0),
                                        std::logic_error, "ptrNative.extent(0) = " << ptrNative.extent(0) << " != ptrSizeT.extent(0) = " << ptrSizeT.extent(0) << ".  Please report this bug to the "
                                                                                                                                                                  "Tpetra developers.");

  auto indIn = getKokkosViewDeepCopy<DT>(ind());
  auto valIn = getKokkosViewDeepCopy<DT>(av_reinterpret_cast<IST>(val()));
  this->setAllValues(ptrNative, indIn, valIn);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalDiagOffsets(Teuchos::ArrayRCP<size_t>& offsets) const {
  const char tfecfFuncName[] = "getLocalDiagOffsets: ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(staticGraph_.is_null(), std::runtime_error, "The matrix has no graph.");

  // mfh 11 May 2016: We plan to deprecate the ArrayRCP version of
  // this method in CrsGraph too, so don't call it (otherwise build
  // warnings will show up and annoy users).  Instead, copy results
  // in and out, if the memory space requires it.

  const size_t lclNumRows = staticGraph_->getLocalNumRows();
  if (static_cast<size_t>(offsets.size()) < lclNumRows) {
    offsets.resize(lclNumRows);
  }

  // The input ArrayRCP must always be a host pointer.  Thus, if
  // device_type::memory_space is Kokkos::HostSpace, it's OK for us
  // to write to that allocation directly as a Kokkos::View.
  if (std::is_same<memory_space, Kokkos::HostSpace>::value) {
    // It is always syntactically correct to assign a raw host
    // pointer to a device View, so this code will compile correctly
    // even if this branch never runs.
    typedef Kokkos::View<size_t*, device_type,
                         Kokkos::MemoryUnmanaged>
        output_type;
    output_type offsetsOut(offsets.getRawPtr(), lclNumRows);
    staticGraph_->getLocalDiagOffsets(offsetsOut);
  } else {
    Kokkos::View<size_t*, device_type> offsetsTmp("diagOffsets", lclNumRows);
    staticGraph_->getLocalDiagOffsets(offsetsTmp);
    typedef Kokkos::View<size_t*, Kokkos::HostSpace,
                         Kokkos::MemoryUnmanaged>
        output_type;
    output_type offsetsOut(offsets.getRawPtr(), lclNumRows);
    // DEEP_COPY REVIEW - DEVICE-TO-HOST
    Kokkos::deep_copy(execution_space(), offsetsOut, offsetsTmp);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalDiagCopy(Vector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& diag) const {
  using Teuchos::ArrayRCP;
  using Teuchos::ArrayView;
  using Teuchos::av_reinterpret_cast;
  const char tfecfFuncName[] = "getLocalDiagCopy (1-arg): ";
  typedef local_ordinal_type LO;

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      staticGraph_.is_null(), std::runtime_error,
      "This method requires that the matrix have a graph.");
  auto rowMapPtr = this->getRowMap();
  if (rowMapPtr.is_null() || rowMapPtr->getComm().is_null()) {
    // Processes on which the row Map or its communicator is null
    // don't participate.  Users shouldn't even call this method on
    // those processes.
    return;
  }
  auto colMapPtr = this->getColMap();
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!this->hasColMap() || colMapPtr.is_null(), std::runtime_error,
                                        "This method requires that the matrix have a column Map.");
  const map_type& rowMap = *rowMapPtr;
  const map_type& colMap = *colMapPtr;
  const LO myNumRows     = static_cast<LO>(this->getLocalNumRows());

#ifdef HAVE_TPETRA_DEBUG
  // isCompatible() requires an all-reduce, and thus this check
  // should only be done in debug mode.
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      !diag.getMap()->isCompatible(rowMap), std::runtime_error,
      "The input Vector's Map must be compatible with the CrsMatrix's row "
      "Map.  You may check this by using Map's isCompatible method: "
      "diag.getMap ()->isCompatible (A.getRowMap ());");
#endif  // HAVE_TPETRA_DEBUG

  const auto D_lcl = diag.getLocalViewDevice(Access::OverwriteAll);
  // 1-D subview of the first (and only) column of D_lcl.
  const auto D_lcl_1d =
      Kokkos::subview(D_lcl, Kokkos::make_pair(LO(0), myNumRows), 0);

  const auto lclRowMap = rowMap.getLocalMap();
  const auto lclColMap = colMap.getLocalMap();
  using ::Tpetra::Details::getDiagCopyWithoutOffsets;
  (void)getDiagCopyWithoutOffsets(D_lcl_1d, lclRowMap,
                                  lclColMap,
                                  getLocalMatrixDevice());
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalDiagCopy(Vector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& diag,
                     const Kokkos::View<const size_t*, device_type,
                                        Kokkos::MemoryUnmanaged>& offsets) const {
  typedef LocalOrdinal LO;

#ifdef HAVE_TPETRA_DEBUG
  const char tfecfFuncName[] = "getLocalDiagCopy: ";
  const map_type& rowMap     = *(this->getRowMap());
  // isCompatible() requires an all-reduce, and thus this check
  // should only be done in debug mode.
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      !diag.getMap()->isCompatible(rowMap), std::runtime_error,
      "The input Vector's Map must be compatible with (in the sense of Map::"
      "isCompatible) the CrsMatrix's row Map.");
#endif  // HAVE_TPETRA_DEBUG

  // For now, we fill the Vector on the host and sync to device.
  // Later, we may write a parallel kernel that works entirely on
  // device.
  //
  // NOTE (mfh 21 Jan 2016): The host kernel here assumes UVM.  Once
  // we write a device kernel, it will not need to assume UVM.

  auto D_lcl         = diag.getLocalViewDevice(Access::OverwriteAll);
  const LO myNumRows = static_cast<LO>(this->getLocalNumRows());
  // Get 1-D subview of the first (and only) column of D_lcl.
  auto D_lcl_1d =
      Kokkos::subview(D_lcl, Kokkos::make_pair(LO(0), myNumRows), 0);

  KokkosSparse::getDiagCopy(D_lcl_1d, offsets,
                            getLocalMatrixDevice());
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getLocalDiagCopy(Vector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& diag,
                     const Teuchos::ArrayView<const size_t>& offsets) const {
  using LO                   = LocalOrdinal;
  using host_execution_space = Kokkos::DefaultHostExecutionSpace;
  using IST                  = impl_scalar_type;

#ifdef HAVE_TPETRA_DEBUG
  const char tfecfFuncName[] = "getLocalDiagCopy: ";
  const map_type& rowMap     = *(this->getRowMap());
  // isCompatible() requires an all-reduce, and thus this check
  // should only be done in debug mode.
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      !diag.getMap()->isCompatible(rowMap), std::runtime_error,
      "The input Vector's Map must be compatible with (in the sense of Map::"
      "isCompatible) the CrsMatrix's row Map.");
#endif  // HAVE_TPETRA_DEBUG

  // See #1510.  In case diag has already been marked modified on
  // device, we need to clear that flag, since the code below works
  // on host.
  // diag.clear_sync_state ();

  // For now, we fill the Vector on the host and sync to device.
  // Later, we may write a parallel kernel that works entirely on
  // device.
  auto lclVecHost = diag.getLocalViewHost(Access::OverwriteAll);
  // 1-D subview of the first (and only) column of lclVecHost.
  auto lclVecHost1d = Kokkos::subview(lclVecHost, Kokkos::ALL(), 0);

  using host_offsets_view_type =
      Kokkos::View<const size_t*, Kokkos::HostSpace,
                   Kokkos::MemoryTraits<Kokkos::Unmanaged>>;
  host_offsets_view_type h_offsets(offsets.getRawPtr(), offsets.size());
  // Find the diagonal entries and put them in lclVecHost1d.
  using range_type   = Kokkos::RangePolicy<host_execution_space, LO>;
  const LO myNumRows = static_cast<LO>(this->getLocalNumRows());
  const size_t INV   = Tpetra::Details::OrdinalTraits<size_t>::invalid();

  auto rowPtrsPackedHost = staticGraph_->getRowPtrsPackedHost();
  auto valuesPackedHost  = valuesPacked_wdv.getHostView(Access::ReadOnly);
  Kokkos::parallel_for("Tpetra::CrsMatrix::getLocalDiagCopy",
                       range_type(0, myNumRows),
                       [&, INV, h_offsets](const LO lclRow) {  // Value capture is a workaround for cuda + gcc-7.2 compiler bug w/c++14
                         lclVecHost1d(lclRow) = STS::zero();   // default value if no diag entry
                         if (h_offsets[lclRow] != INV) {
                           auto curRowOffset = rowPtrsPackedHost(lclRow);
                           lclVecHost1d(lclRow) =
                               static_cast<IST>(valuesPackedHost(curRowOffset + h_offsets[lclRow]));
                         }
                       });
  // diag.sync_device ();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    leftScale(const Vector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& x) {
  using Teuchos::ArrayRCP;
  using Teuchos::ArrayView;
  using Teuchos::null;
  using Teuchos::RCP;
  using Teuchos::rcp;
  using Teuchos::rcpFromRef;
  using ::Tpetra::Details::ProfilingRegion;
  using vec_type             = Vector<Scalar, LocalOrdinal, GlobalOrdinal, Node>;
  const char tfecfFuncName[] = "leftScale: ";

  ProfilingRegion region("Tpetra::CrsMatrix::leftScale");

  RCP<const vec_type> xp;
  if (this->getRangeMap()->isSameAs(*(x.getMap()))) {
    // Take from Epetra: If we have a non-trivial exporter, we must
    // import elements that are permuted or are on other processors.
    auto exporter = this->getCrsGraphRef().getExporter();
    if (exporter.get() != nullptr) {
      RCP<vec_type> tempVec(new vec_type(this->getRowMap()));
      tempVec->doImport(x, *exporter, REPLACE);  // reverse mode
      xp = tempVec;
    } else {
      xp = rcpFromRef(x);
    }
  } else if (this->getRowMap()->isSameAs(*(x.getMap()))) {
    xp = rcpFromRef(x);
  } else {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::invalid_argument,
                                          "x's Map must be the same as "
                                          "either the row Map or the range Map of the CrsMatrix.");
  }

  if (this->isFillComplete()) {
    auto x_lcl    = xp->getLocalViewDevice(Access::ReadOnly);
    auto x_lcl_1d = Kokkos::subview(x_lcl, Kokkos::ALL(), 0);
    using ::Tpetra::Details::leftScaleLocalCrsMatrix;
    leftScaleLocalCrsMatrix(getLocalMatrixDevice(),
                            x_lcl_1d, false, false);
  } else {
    // 6/2020  Disallow leftScale of non-fillComplete matrices #7446
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsMatrix::leftScale requires matrix to be"
                                          " fillComplete");
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    rightScale(const Vector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& x) {
  using Teuchos::ArrayRCP;
  using Teuchos::ArrayView;
  using Teuchos::null;
  using Teuchos::RCP;
  using Teuchos::rcp;
  using Teuchos::rcpFromRef;
  using ::Tpetra::Details::ProfilingRegion;
  typedef Vector<Scalar, LocalOrdinal, GlobalOrdinal, Node> vec_type;
  const char tfecfFuncName[] = "rightScale: ";

  ProfilingRegion region("Tpetra::CrsMatrix::rightScale");

  RCP<const vec_type> xp;
  if (this->getDomainMap()->isSameAs(*(x.getMap()))) {
    // Take from Epetra: If we have a non-trivial exporter, we must
    // import elements that are permuted or are on other processors.
    auto importer = this->getCrsGraphRef().getImporter();
    if (importer.get() != nullptr) {
      RCP<vec_type> tempVec(new vec_type(this->getColMap()));
      tempVec->doImport(x, *importer, REPLACE);
      xp = tempVec;
    } else {
      xp = rcpFromRef(x);
    }
  } else if (this->getColMap()->isSameAs(*(x.getMap()))) {
    xp = rcpFromRef(x);
  } else {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "x's Map must be the same as "
                                          "either the domain Map or the column Map of the CrsMatrix.");
  }

  if (this->isFillComplete()) {
    auto x_lcl    = xp->getLocalViewDevice(Access::ReadOnly);
    auto x_lcl_1d = Kokkos::subview(x_lcl, Kokkos::ALL(), 0);
    using ::Tpetra::Details::rightScaleLocalCrsMatrix;
    rightScaleLocalCrsMatrix(getLocalMatrixDevice(),
                             x_lcl_1d, false, false);
  } else {
    // 6/2020  Disallow rightScale of non-fillComplete matrices #7446
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::runtime_error,
                                          "CrsMatrix::rightScale requires matrix to be"
                                          " fillComplete");
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::mag_type
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::getNormInf() const {
  auto equilInfo = computeRowOneNorms(*this);
  mag_type myMax;
  using range_type = Kokkos::RangePolicy<execution_space, local_ordinal_type>;
  Kokkos::parallel_reduce(
      "getNormInf", range_type(0, equilInfo.rowNorms.extent(0)),
      KOKKOS_LAMBDA(local_ordinal_type i, mag_type & max) {
        max = equilInfo.rowNorms(i);
      },
      Kokkos::Max<mag_type>(myMax));
  mag_type totalMax = STM::zero();
  Teuchos::reduceAll<int, mag_type>(*(getComm()), Teuchos::REDUCE_MAX, myMax,
                                    Teuchos::outArg(totalMax));
  return totalMax;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::mag_type
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getNorm1(const bool assumeSymmetric) const {
  if (assumeSymmetric)
    return getNormInf();
  auto equilInfo = computeRowAndColumnOneNorms(*this, false);
  mag_type myMax;
  using range_type = Kokkos::RangePolicy<execution_space, local_ordinal_type>;
  Kokkos::parallel_reduce(
      "getNorm1", range_type(0, equilInfo.colNorms.extent(0)),
      KOKKOS_LAMBDA(local_ordinal_type i, mag_type & max) {
        max = equilInfo.colNorms(i);
      },
      Kokkos::Max<mag_type>(myMax));
  mag_type totalMax = STM::zero();
  Teuchos::reduceAll<int, mag_type>(*(getComm()), Teuchos::REDUCE_MAX, myMax,
                                    Teuchos::outArg(totalMax));
  return totalMax;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
typename CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::mag_type
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getFrobeniusNorm() const {
  using Teuchos::ArrayView;
  using Teuchos::outArg;
  using Teuchos::REDUCE_SUM;
  using Teuchos::reduceAll;

  // FIXME (mfh 05 Aug 2014) Write a thread-parallel kernel for the
  // local part of this computation.  It could make sense to put
  // this operation in the Kokkos::CrsMatrix.

  // check the cache first
  mag_type mySum = STM::zero();
  if (getLocalNumEntries() > 0) {
    if (isStorageOptimized()) {
      // "Optimized" storage is packed storage.  That means we can
      // iterate in one pass through the 1-D values array.
      const size_t numEntries = getLocalNumEntries();
      auto values             = valuesPacked_wdv.getHostView(Access::ReadOnly);
      for (size_t k = 0; k < numEntries; ++k) {
        auto val = values[k];
        // Note (etp 06 Jan 2015) We need abs() here for composite types
        // (in general, if mag_type is on the left-hand-side, we need
        // abs() on the right-hand-side)
        const mag_type val_abs = STS::abs(val);
        mySum += val_abs * val_abs;
      }
    } else {
      const LocalOrdinal numRows =
          static_cast<LocalOrdinal>(this->getLocalNumRows());
      for (LocalOrdinal r = 0; r < numRows; ++r) {
        const RowInfo rowInfo   = myGraph_->getRowInfo(r);
        const size_t numEntries = rowInfo.numEntries;
        auto A_r                = this->getValuesViewHost(rowInfo);
        for (size_t k = 0; k < numEntries; ++k) {
          const impl_scalar_type val = A_r[k];
          const mag_type val_abs     = STS::abs(val);
          mySum += val_abs * val_abs;
        }
      }
    }
  }
  mag_type totalSum = STM::zero();
  reduceAll<int, mag_type>(*(getComm()), REDUCE_SUM,
                           mySum, outArg(totalSum));
  return STM::sqrt(totalSum);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceColMap(const Teuchos::RCP<const map_type>& newColMap) {
  const char tfecfFuncName[] = "replaceColMap: ";
  // FIXME (mfh 06 Aug 2014) What if the graph is locally indexed?
  // Then replacing the column Map might mean that we need to
  // reindex the column indices.
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      myGraph_.is_null(), std::runtime_error,
      "This method does not work if the matrix has a const graph.  The whole "
      "idea of a const graph is that you are not allowed to change it, but "
      "this method necessarily must modify the graph, since the graph owns "
      "the matrix's column Map.");
  myGraph_->replaceColMap(newColMap);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    reindexColumns(crs_graph_type* const graph,
                   const Teuchos::RCP<const map_type>& newColMap,
                   const Teuchos::RCP<const import_type>& newImport,
                   const bool sortEachRow) {
  const char tfecfFuncName[] = "reindexColumns: ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      graph == nullptr && myGraph_.is_null(), std::invalid_argument,
      "The input graph is null, but the matrix does not own its graph.");

  crs_graph_type& theGraph = (graph == nullptr) ? *myGraph_ : *graph;
  const bool sortGraph     = false;  // we'll sort graph & matrix together below

  theGraph.reindexColumns(newColMap, newImport, sortGraph);

  if (sortEachRow && theGraph.isLocallyIndexed() && !theGraph.isSorted()) {
    const LocalOrdinal lclNumRows =
        static_cast<LocalOrdinal>(theGraph.getLocalNumRows());

    for (LocalOrdinal row = 0; row < lclNumRows; ++row) {
      const RowInfo rowInfo = theGraph.getRowInfo(row);
      auto lclColInds       = theGraph.getLocalIndsViewHostNonConst(rowInfo);
      auto vals             = this->getValuesViewHostNonConst(rowInfo);

      sort2(lclColInds.data(),
            lclColInds.data() + rowInfo.numEntries,
            vals.data());
    }
    theGraph.indicesAreSorted_ = true;
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceDomainMap(const Teuchos::RCP<const map_type>& newDomainMap) {
  const char tfecfFuncName[] = "replaceDomainMap: ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      myGraph_.is_null(), std::runtime_error,
      "This method does not work if the matrix has a const graph.  The whole "
      "idea of a const graph is that you are not allowed to change it, but this"
      " method necessarily must modify the graph, since the graph owns the "
      "matrix's domain Map and Import objects.");
  myGraph_->replaceDomainMap(newDomainMap);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceDomainMapAndImporter(const Teuchos::RCP<const map_type>& newDomainMap,
                                Teuchos::RCP<const import_type>& newImporter) {
  const char tfecfFuncName[] = "replaceDomainMapAndImporter: ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      myGraph_.is_null(), std::runtime_error,
      "This method does not work if the matrix has a const graph.  The whole "
      "idea of a const graph is that you are not allowed to change it, but this"
      " method necessarily must modify the graph, since the graph owns the "
      "matrix's domain Map and Import objects.");
  myGraph_->replaceDomainMapAndImporter(newDomainMap, newImporter);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceRangeMap(const Teuchos::RCP<const map_type>& newRangeMap) {
  const char tfecfFuncName[] = "replaceRangeMap: ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      myGraph_.is_null(), std::runtime_error,
      "This method does not work if the matrix has a const graph.  The whole "
      "idea of a const graph is that you are not allowed to change it, but this"
      " method necessarily must modify the graph, since the graph owns the "
      "matrix's domain Map and Import objects.");
  myGraph_->replaceRangeMap(newRangeMap);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    replaceRangeMapAndExporter(const Teuchos::RCP<const map_type>& newRangeMap,
                               Teuchos::RCP<const export_type>& newExporter) {
  const char tfecfFuncName[] = "replaceRangeMapAndExporter: ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      myGraph_.is_null(), std::runtime_error,
      "This method does not work if the matrix has a const graph.  The whole "
      "idea of a const graph is that you are not allowed to change it, but this"
      " method necessarily must modify the graph, since the graph owns the "
      "matrix's domain Map and Import objects.");
  myGraph_->replaceRangeMapAndExporter(newRangeMap, newExporter);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    insertNonownedGlobalValues(const GlobalOrdinal globalRow,
                               const Teuchos::ArrayView<const GlobalOrdinal>& indices,
                               const Teuchos::ArrayView<const Scalar>& values) {
  using Teuchos::Array;
  typedef GlobalOrdinal GO;
  typedef typename Array<GO>::size_type size_type;

  const size_type numToInsert = indices.size();
  // Add the new data to the list of nonlocals.
  // This creates the arrays if they don't exist yet.
  std::pair<Array<GO>, Array<Scalar>>& curRow = nonlocals_[globalRow];
  Array<GO>& curRowInds                       = curRow.first;
  Array<Scalar>& curRowVals                   = curRow.second;
  const size_type newCapacity                 = curRowInds.size() + numToInsert;
  curRowInds.reserve(newCapacity);
  curRowVals.reserve(newCapacity);
  for (size_type k = 0; k < numToInsert; ++k) {
    curRowInds.push_back(indices[k]);
    curRowVals.push_back(values[k]);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    globalAssemble() {
  using Details::Behavior;
  using Details::ProfilingRegion;
  using std::endl;
  using Teuchos::Comm;
  using Teuchos::outArg;
  using Teuchos::RCP;
  using Teuchos::rcp;
  using Teuchos::REDUCE_MAX;
  using Teuchos::REDUCE_MIN;
  using Teuchos::reduceAll;
  typedef CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node> crs_matrix_type;
  // typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;
  typedef typename Teuchos::Array<GO>::size_type size_type;
  const char tfecfFuncName[] = "globalAssemble: ";  // for exception macro
  ProfilingRegion regionGlobalAssemble("Tpetra::CrsMatrix::globalAssemble");

  const bool verbose = Behavior::verbose("CrsMatrix");
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "globalAssemble");
    std::ostringstream os;
    os << *prefix << "nonlocals_.size()=" << nonlocals_.size()
       << endl;
    std::cerr << os.str();
  }
  RCP<const Comm<int>> comm = getComm();

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!isFillActive(), std::runtime_error,
                                        "Fill must be active before "
                                        "you may call this method.");

  const size_t myNumNonlocalRows = nonlocals_.size();

  // If no processes have nonlocal rows, then we don't have to do
  // anything.  Checking this is probably cheaper than constructing
  // the Map of nonlocal rows (see below) and noticing that it has
  // zero global entries.
  {
    const int iHaveNonlocalRows = (myNumNonlocalRows == 0) ? 0 : 1;
    int someoneHasNonlocalRows  = 0;
    reduceAll<int, int>(*comm, REDUCE_MAX, iHaveNonlocalRows,
                        outArg(someoneHasNonlocalRows));
    if (someoneHasNonlocalRows == 0) {
      return;  // no process has nonlocal rows, so nothing to do
    }
  }

  // 1. Create a list of the "nonlocal" rows on each process.  this
  //    requires iterating over nonlocals_, so while we do this,
  //    deduplicate the entries and get a count for each nonlocal
  //    row on this process.
  // 2. Construct a new row Map corresponding to those rows.  This
  //    Map is likely overlapping.  We know that the Map is not
  //    empty on all processes, because the above all-reduce and
  //    return exclude that case.

  RCP<const map_type> nonlocalRowMap;
  Teuchos::Array<size_t> numEntPerNonlocalRow(myNumNonlocalRows);
  {
    Teuchos::Array<GO> myNonlocalGblRows(myNumNonlocalRows);
    size_type curPos = 0;
    for (auto mapIter = nonlocals_.begin(); mapIter != nonlocals_.end();
         ++mapIter, ++curPos) {
      myNonlocalGblRows[curPos] = mapIter->first;
      // Get the values and column indices by reference, since we
      // intend to change them in place (that's what "erase" does).
      Teuchos::Array<GO>& gblCols  = (mapIter->second).first;
      Teuchos::Array<Scalar>& vals = (mapIter->second).second;

      // Sort both arrays jointly, using the column indices as keys,
      // then merge them jointly.  "Merge" here adds values
      // corresponding to the same column indices.  The first 2 args
      // of merge2 are output arguments that work just like the
      // return value of std::unique.
      sort2(gblCols.begin(), gblCols.end(), vals.begin());
      typename Teuchos::Array<GO>::iterator gblCols_newEnd;
      typename Teuchos::Array<Scalar>::iterator vals_newEnd;
      merge2(gblCols_newEnd, vals_newEnd,
             gblCols.begin(), gblCols.end(),
             vals.begin(), vals.end());
      gblCols.erase(gblCols_newEnd, gblCols.end());
      vals.erase(vals_newEnd, vals.end());
      numEntPerNonlocalRow[curPos] = gblCols.size();
    }

    // Currently, Map requires that its indexBase be the global min
    // of all its global indices.  Map won't compute this for us, so
    // we must do it.  If our process has no nonlocal rows, set the
    // "min" to the max possible GO value.  This ensures that if
    // some process has at least one nonlocal row, then it will pick
    // that up as the min.  We know that at least one process has a
    // nonlocal row, since the all-reduce and return at the top of
    // this method excluded that case.
    GO myMinNonlocalGblRow = std::numeric_limits<GO>::max();
    {
      auto iter = std::min_element(myNonlocalGblRows.begin(),
                                   myNonlocalGblRows.end());
      if (iter != myNonlocalGblRows.end()) {
        myMinNonlocalGblRow = *iter;
      }
    }
    GO gblMinNonlocalGblRow = 0;
    reduceAll<int, GO>(*comm, REDUCE_MIN, myMinNonlocalGblRow,
                       outArg(gblMinNonlocalGblRow));
    const GO indexBase      = gblMinNonlocalGblRow;
    const global_size_t INV = Teuchos::OrdinalTraits<global_size_t>::invalid();
    nonlocalRowMap          = rcp(new map_type(INV, myNonlocalGblRows(), indexBase, comm));
  }

  // 3. Use the values and column indices for each nonlocal row, as
  //    stored in nonlocals_, to construct a CrsMatrix corresponding
  //    to nonlocal rows.  We have
  //    exact counts of the number of entries in each nonlocal row.

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Create nonlocal matrix" << endl;
    std::cerr << os.str();
  }
  RCP<crs_matrix_type> nonlocalMatrix =
      rcp(new crs_matrix_type(nonlocalRowMap, numEntPerNonlocalRow()));
  {
    size_type curPos = 0;
    for (auto mapIter = nonlocals_.begin(); mapIter != nonlocals_.end();
         ++mapIter, ++curPos) {
      const GO gblRow = mapIter->first;
      // Get values & column indices by ref, just to avoid copy.
      Teuchos::Array<GO>& gblCols  = (mapIter->second).first;
      Teuchos::Array<Scalar>& vals = (mapIter->second).second;
      // const LO numEnt = static_cast<LO> (numEntPerNonlocalRow[curPos]);
      nonlocalMatrix->insertGlobalValues(gblRow, gblCols(), vals());
    }
  }
  // There's no need to fill-complete the nonlocals matrix.
  // We just use it as a temporary container for the Export.

  // 4. If the original row Map is one to one, then we can Export
  //    directly from nonlocalMatrix into this.  Otherwise, we have
  //    to create a temporary matrix with a one-to-one row Map,
  //    Export into that, then Import from the temporary matrix into
  //    *this.

  auto origRowMap                 = this->getRowMap();
  const bool origRowMapIsOneToOne = origRowMap->isOneToOne();

  int isLocallyComplete = 1;  // true by default

  if (origRowMapIsOneToOne) {
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Original row Map is 1-to-1" << endl;
      std::cerr << os.str();
    }
    export_type exportToOrig(nonlocalRowMap, origRowMap);
    if (!exportToOrig.isLocallyComplete()) {
      isLocallyComplete = 0;
    }
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "doExport from nonlocalMatrix" << endl;
      std::cerr << os.str();
    }
    this->doExport(*nonlocalMatrix, exportToOrig, Tpetra::ADD);
    // We're done at this point!
  } else {
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Original row Map is NOT 1-to-1" << endl;
      std::cerr << os.str();
    }
    // If you ask a Map whether it is one to one, it does some
    // communication and stashes intermediate results for later use
    // by createOneToOne.  Thus, calling createOneToOne doesn't cost
    // much more then the original cost of calling isOneToOne.
    auto oneToOneRowMap = Tpetra::createOneToOne(origRowMap);
    export_type exportToOneToOne(nonlocalRowMap, oneToOneRowMap);
    if (!exportToOneToOne.isLocallyComplete()) {
      isLocallyComplete = 0;
    }

    // Create a temporary matrix with the one-to-one row Map.
    //
    // TODO (mfh 09 Sep 2016, 12 Sep 2016) Estimate # entries in
    // each row, to avoid reallocation during the Export operation.
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Create & doExport into 1-to-1 matrix"
         << endl;
      std::cerr << os.str();
    }
    crs_matrix_type oneToOneMatrix(oneToOneRowMap, 0);
    // Export from matrix of nonlocals into the temp one-to-one matrix.
    oneToOneMatrix.doExport(*nonlocalMatrix, exportToOneToOne,
                            Tpetra::ADD);

    // We don't need the matrix of nonlocals anymore, so get rid of
    // it, to keep the memory high-water mark down.
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Free nonlocalMatrix" << endl;
      std::cerr << os.str();
    }
    nonlocalMatrix = Teuchos::null;

    // Import from the one-to-one matrix to the original matrix.
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "doImport from 1-to-1 matrix" << endl;
      std::cerr << os.str();
    }
    import_type importToOrig(oneToOneRowMap, origRowMap);
    this->doImport(oneToOneMatrix, importToOrig, Tpetra::ADD);
  }

  // It's safe now to clear out nonlocals_, since we've already
  // committed side effects to *this.  The standard idiom for
  // clearing a Container like std::map, is to swap it with an empty
  // Container and let the swapped Container fall out of scope.
  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Free nonlocals_ (std::map)" << endl;
    std::cerr << os.str();
  }
  decltype(nonlocals_) newNonlocals;
  std::swap(nonlocals_, newNonlocals);

  // FIXME (mfh 12 Sep 2016) I don't like this all-reduce, and I
  // don't like throwing an exception here.  A local return value
  // would likely be more useful to users.  However, if users find
  // themselves exercising nonlocal inserts often, then they are
  // probably novice users who need the help.  See Gibhub Issues
  // #603 and #601 (esp. the latter) for discussion.

  int isGloballyComplete = 0;  // output argument of reduceAll
  reduceAll<int, int>(*comm, REDUCE_MIN, isLocallyComplete,
                      outArg(isGloballyComplete));
  TEUCHOS_TEST_FOR_EXCEPTION(isGloballyComplete != 1, std::runtime_error,
                             "On at least one process, "
                             "you called insertGlobalValues with a global row index which is not in "
                             "the matrix's row Map on any process in its communicator.");
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    resumeFill(const Teuchos::RCP<Teuchos::ParameterList>& params) {
  if (!isStaticGraph()) {  // Don't resume fill of a nonowned graph.
    myGraph_->resumeFill(params);
  }
  // Delete the apply helper (if it exists)
  applyHelper.reset();
  fillComplete_ = false;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    haveGlobalConstants() const {
  return getCrsGraphRef().haveGlobalConstants();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    fillComplete(const Teuchos::RCP<Teuchos::ParameterList>& params) {
  const char tfecfFuncName[] = "fillComplete(params): ";

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(this->getCrsGraph().is_null(), std::logic_error,
                                        "getCrsGraph() returns null.  This should not happen at this point.  "
                                        "Please report this bug to the Tpetra developers.");

  const crs_graph_type& graph = this->getCrsGraphRef();
  if (this->isStaticGraph() && graph.isFillComplete()) {
    // If this matrix's graph is fill complete and the user did not
    // supply a domain or range Map, use the graph's domain and
    // range Maps.
    this->fillComplete(graph.getDomainMap(), graph.getRangeMap(), params);
  } else {  // assume that user's row Map is the domain and range Map
    Teuchos::RCP<const map_type> rangeMap  = graph.getRowMap();
    Teuchos::RCP<const map_type> domainMap = rangeMap;
    this->fillComplete(domainMap, rangeMap, params);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    fillComplete(const Teuchos::RCP<const map_type>& domainMap,
                 const Teuchos::RCP<const map_type>& rangeMap,
                 const Teuchos::RCP<Teuchos::ParameterList>& params) {
  using Details::Behavior;
  using Details::ProfilingRegion;
  using std::endl;
  using Teuchos::ArrayRCP;
  using Teuchos::RCP;
  using Teuchos::rcp;
  const char tfecfFuncName[] = "fillComplete: ";
  ProfilingRegion regionFillComplete("Tpetra::CrsMatrix::fillComplete");
  const bool verbose = Behavior::verbose("CrsMatrix");
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "fillComplete(dom,ran,p)");
    std::ostringstream os;
    os << *prefix << endl;
    std::cerr << os.str();
  }
  Details::ProfilingRegion region(
      "Tpetra::CrsMatrix::fillCompete",
      "fillCompete");

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!this->isFillActive() || this->isFillComplete(), std::runtime_error,
                                        "Matrix fill state must be active (isFillActive() "
                                        "must be true) before you may call fillComplete().");
  const int numProcs = this->getComm()->getSize();

  //
  // Read parameters from the input ParameterList.
  //
  {
    Details::ProfilingRegion region_fc("Tpetra::CrsMatrix::fillCompete", "ParameterList");

    // If true, the caller promises that no process did nonlocal
    // changes since the last call to fillComplete.
    bool assertNoNonlocalInserts = false;
    // If true, makeColMap sorts remote GIDs (within each remote
    // process' group).
    bool sortGhosts = true;

    if (!params.is_null()) {
      assertNoNonlocalInserts = params->get("No Nonlocal Changes",
                                            assertNoNonlocalInserts);
      if (params->isParameter("sort column map ghost gids")) {
        sortGhosts = params->get("sort column map ghost gids", sortGhosts);
      } else if (params->isParameter("Sort column Map ghost GIDs")) {
        sortGhosts = params->get("Sort column Map ghost GIDs", sortGhosts);
      }
    }
    // We also don't need to do global assembly if there is only one
    // process in the communicator.
    const bool needGlobalAssemble = !assertNoNonlocalInserts && numProcs > 1;
    // This parameter only matters if this matrix owns its graph.
    if (!this->myGraph_.is_null()) {
      this->myGraph_->sortGhostsAssociatedWithEachProcessor_ = sortGhosts;
    }

    if (!this->getCrsGraphRef().indicesAreAllocated()) {
      if (this->hasColMap()) {  // use local indices
        allocateValues(LocalIndices, GraphNotYetAllocated, verbose);
      } else {  // no column Map, so use global indices
        allocateValues(GlobalIndices, GraphNotYetAllocated, verbose);
      }
    }
    // Global assemble, if we need to.  This call only costs a single
    // all-reduce if we didn't need global assembly after all.
    if (needGlobalAssemble) {
      this->globalAssemble();
    } else {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(numProcs == 1 && nonlocals_.size() > 0,
                                            std::runtime_error,
                                            "Cannot have nonlocal entries on a serial run.  "
                                            "An invalid entry (i.e., with row index not in the row Map) must have "
                                            "been submitted to the CrsMatrix.");
    }
  }
  if (this->isStaticGraph()) {
    Details::ProfilingRegion region_isg("Tpetra::CrsMatrix::fillCompete", "isStaticGraph");
    // FIXME (mfh 14 Nov 2016) In order to fix #843, I enable the
    // checks below only in debug mode.  It would be nicer to do a
    // local check, then propagate the error state in a deferred
    // way, whenever communication happens.  That would reduce the
    // cost of checking, to the point where it may make sense to
    // enable it even in release mode.
#ifdef HAVE_TPETRA_DEBUG
    // FIXME (mfh 18 Jun 2014) This check for correctness of the
    // input Maps incurs a penalty of two all-reduces for the
    // otherwise optimal const graph case.
    //
    // We could turn these (max) 2 all-reduces into (max) 1, by
    // fusing them.  We could do this by adding a "locallySameAs"
    // method to Map, which would return one of four states:
    //
    //   a. Certainly globally the same
    //   b. Certainly globally not the same
    //   c. Locally the same
    //   d. Locally not the same
    //
    // The first two states don't require further communication.
    // The latter two states require an all-reduce to communicate
    // globally, but we only need one all-reduce, since we only need
    // to check whether at least one of the Maps is wrong.
    const bool domainMapsMatch =
        this->staticGraph_->getDomainMap()->isSameAs(*domainMap);
    const bool rangeMapsMatch =
        this->staticGraph_->getRangeMap()->isSameAs(*rangeMap);

    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!domainMapsMatch, std::runtime_error,
                                          "The CrsMatrix's domain Map does not match the graph's domain Map.  "
                                          "The graph cannot be changed because it was given to the CrsMatrix "
                                          "constructor as const.  You can fix this by passing in the graph's "
                                          "domain Map and range Map to the matrix's fillComplete call.");

    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!rangeMapsMatch, std::runtime_error,
                                          "The CrsMatrix's range Map does not match the graph's range Map.  "
                                          "The graph cannot be changed because it was given to the CrsMatrix "
                                          "constructor as const.  You can fix this by passing in the graph's "
                                          "domain Map and range Map to the matrix's fillComplete call.");
#endif  // HAVE_TPETRA_DEBUG

    // The matrix does _not_ own the graph, and the graph's
    // structure is already fixed, so just fill the local matrix.
    this->fillLocalMatrix(params);
  } else {
    Details::ProfilingRegion region_insg("Tpetra::CrsMatrix::fillCompete", "isNotStaticGraph");
    // Set the graph's domain and range Maps.  This will clear the
    // Import if the domain Map has changed (is a different
    // pointer), and the Export if the range Map has changed (is a
    // different pointer).
    this->myGraph_->setDomainRangeMaps(domainMap, rangeMap);

    // Make the graph's column Map, if necessary.
    Teuchos::Array<int> remotePIDs(0);
    const bool mustBuildColMap = !this->hasColMap();
    if (mustBuildColMap) {
      this->myGraph_->makeColMap(remotePIDs);
    }

    // Make indices local, if necessary.  The method won't do
    // anything if the graph is already locally indexed.
    const std::pair<size_t, std::string> makeIndicesLocalResult =
        this->myGraph_->makeIndicesLocal(verbose);
    // TODO (mfh 20 Jul 2017) Instead of throwing here, pass along
    // the error state to makeImportExport
    // which may do all-reduces and thus may
    // have the opportunity to communicate that error state.
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(makeIndicesLocalResult.first != 0, std::runtime_error,
                                          makeIndicesLocalResult.second);

    const bool sorted = this->myGraph_->isSorted();
    const bool merged = this->myGraph_->isMerged();
    this->sortAndMergeIndicesAndValues(sorted, merged);

    // Make Import and Export objects, if they haven't been made
    // already.  If we made a column Map above, reuse information
    // from that process to avoid communiation in the Import setup.
    this->myGraph_->makeImportExport(remotePIDs, mustBuildColMap);

    // The matrix _does_ own the graph, so fill the local graph at
    // the same time as the local matrix.
    this->fillLocalGraphAndMatrix(params);

    const bool callGraphComputeGlobalConstants = params.get() == nullptr ||
                                                 params->get("compute global constants", true);
    if (callGraphComputeGlobalConstants) {
      this->myGraph_->computeGlobalConstants();
    } else {
      this->myGraph_->computeLocalConstants();
    }
    this->myGraph_->fillComplete_ = true;
    this->myGraph_->checkInternalState();
  }

  // FIXME (mfh 28 Aug 2014) "Preserve Local Graph" bool parameter no longer used.

  this->fillComplete_ = true;  // Now we're fill complete!
  {
    Details::ProfilingRegion region_cis(
        "Tpetra::CrsMatrix::fillCompete", "checkInternalState");
    this->checkInternalState();
  }
}  // fillComplete(domainMap, rangeMap, params)

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    expertStaticFillComplete(const Teuchos::RCP<const map_type>& domainMap,
                             const Teuchos::RCP<const map_type>& rangeMap,
                             const Teuchos::RCP<const import_type>& importer,
                             const Teuchos::RCP<const export_type>& exporter,
                             const Teuchos::RCP<Teuchos::ParameterList>& params) {
#ifdef HAVE_TPETRA_MMM_TIMINGS
  std::string label;
  if (!params.is_null())
    label = params->get("Timer Label", label);
  std::string prefix = std::string("Tpetra ") + label + std::string(": ");
  using Teuchos::TimeMonitor;

  Teuchos::TimeMonitor all(*TimeMonitor::getNewTimer(prefix + std::string("ESFC-all")));
#endif

  const char tfecfFuncName[] = "expertStaticFillComplete: ";
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!isFillActive() || isFillComplete(),
                                        std::runtime_error,
                                        "Matrix fill state must be active (isFillActive() "
                                        "must be true) before calling fillComplete().");
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
      myGraph_.is_null(), std::logic_error, "myGraph_ is null.  This is not allowed.");

  {
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor graph(*TimeMonitor::getNewTimer(prefix + std::string("eSFC-M-Graph")));
#endif
    // We will presume globalAssemble is not needed, so we do the ESFC on the graph
    myGraph_->expertStaticFillComplete(domainMap, rangeMap, importer, exporter, params);
  }

  {
#ifdef HAVE_TPETRA_MMM_TIMINGS
    TimeMonitor fLGAM(*TimeMonitor::getNewTimer(prefix + std::string("eSFC-M-fLGAM")));
#endif
    // Fill the local graph and matrix
    fillLocalGraphAndMatrix(params);
  }
  // FIXME (mfh 28 Aug 2014) "Preserve Local Graph" bool parameter no longer used.

  // Now we're fill complete!
  fillComplete_ = true;

  // Sanity checks at the end.
#ifdef HAVE_TPETRA_DEBUG
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(isFillActive(), std::logic_error,
                                        ": We're at the end of fillComplete(), but isFillActive() is true.  "
                                        "Please report this bug to the Tpetra developers.");
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!isFillComplete(), std::logic_error,
                                        ": We're at the end of fillComplete(), but isFillActive() is true.  "
                                        "Please report this bug to the Tpetra developers.");
#endif  // HAVE_TPETRA_DEBUG
  {
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor cIS(*TimeMonitor::getNewTimer(prefix + std::string("ESFC-M-cIS")));
#endif

    checkInternalState();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    mergeRowIndicesAndValues(size_t rowLen, LocalOrdinal* cols, impl_scalar_type* vals) {
  impl_scalar_type* rowValueIter = vals;
  // beg,end define a half-exclusive interval over which to iterate.
  LocalOrdinal* beg    = cols;
  LocalOrdinal* end    = cols + rowLen;
  LocalOrdinal* newend = beg;
  if (beg != end) {
    LocalOrdinal* cur      = beg + 1;
    impl_scalar_type* vcur = rowValueIter + 1;
    impl_scalar_type* vend = rowValueIter;
    cur                    = beg + 1;
    while (cur != end) {
      if (*cur != *newend) {
        // new entry; save it
        ++newend;
        ++vend;
        (*newend) = (*cur);
        (*vend)   = (*vcur);
      } else {
        // old entry; merge it
        //(*vend) = f (*vend, *vcur);
        (*vend) += *vcur;
      }
      ++cur;
      ++vcur;
    }
    ++newend;  // one past the last entry, per typical [beg,end) semantics
  }
  return newend - beg;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    sortAndMergeIndicesAndValues(const bool sorted, const bool merged) {
  using ::Tpetra::Details::ProfilingRegion;
  typedef LocalOrdinal LO;
  typedef typename Kokkos::View<LO*, device_type>::host_mirror_type::execution_space
      host_execution_space;
  typedef Kokkos::RangePolicy<host_execution_space, LO> range_type;
  const char tfecfFuncName[] = "sortAndMergeIndicesAndValues: ";
  ProfilingRegion regionSAM("Tpetra::CrsMatrix::sortAndMergeIndicesAndValues");

  if (!sorted || !merged) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(this->isStaticGraph(), std::runtime_error,
                                          "Cannot sort or merge with "
                                          "\"static\" (const) graph, since the matrix does not own the graph.");
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(this->myGraph_.is_null(), std::logic_error,
                                          "myGraph_ is null, but "
                                          "this matrix claims ! isStaticGraph().  "
                                          "Please report this bug to the Tpetra developers.");
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(this->isStorageOptimized(), std::logic_error,
                                          "It is invalid to call "
                                          "this method if the graph's storage has already been optimized.  "
                                          "Please report this bug to the Tpetra developers.");

    crs_graph_type& graph = *(this->myGraph_);
    const LO lclNumRows   = static_cast<LO>(this->getLocalNumRows());
    size_t totalNumDups   = 0;
    {
      // Accessing host unpacked (4-array CRS) local matrix.
      auto rowBegins_  = graph.getRowPtrsUnpackedHost();
      auto rowLengths_ = graph.k_numRowEntries_;
      auto vals_       = this->valuesUnpacked_wdv.getHostView(Access::ReadWrite);
      auto cols_       = graph.lclIndsUnpacked_wdv.getHostView(Access::ReadWrite);
      Kokkos::parallel_reduce(
          "sortAndMergeIndicesAndValues", range_type(0, lclNumRows),
          [=](const LO lclRow, size_t& numDups) {
            size_t rowBegin        = rowBegins_(lclRow);
            size_t rowLen          = rowLengths_(lclRow);
            LO* cols               = cols_.data() + rowBegin;
            impl_scalar_type* vals = vals_.data() + rowBegin;
            if (!sorted) {
              sort2(cols, cols + rowLen, vals);
            }
            if (!merged) {
              size_t newRowLength = mergeRowIndicesAndValues(rowLen, cols, vals);
              rowLengths_(lclRow) = newRowLength;
              numDups += rowLen - newRowLength;
            }
          },
          totalNumDups);
    }
    if (!sorted) {
      graph.indicesAreSorted_ = true;  // we just sorted every row
    }
    if (!merged) {
      graph.noRedundancies_ = true;  // we just merged every row
    }
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    applyNonTranspose(const MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& X_in,
                      MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& Y_in,
                      Scalar alpha,
                      Scalar beta) const {
  using Teuchos::RCP;
  using Teuchos::rcp;
  using Teuchos::rcp_const_cast;
  using Teuchos::rcpFromRef;
  using Tpetra::Details::ProfilingRegion;
  const Scalar ZERO = Teuchos::ScalarTraits<Scalar>::zero();
  const Scalar ONE  = Teuchos::ScalarTraits<Scalar>::one();

  // mfh 05 Jun 2014: Special case for alpha == 0.  I added this to
  // fix an Ifpack2 test (RILUKSingleProcessUnitTests), which was
  // failing only for the Kokkos refactor version of Tpetra.  It's a
  // good idea regardless to have the bypass.
  if (alpha == ZERO) {
    if (beta == ZERO) {
      Y_in.putScalar(ZERO);
    } else if (beta != ONE) {
      Y_in.scale(beta);
    }
    return;
  }

  // It's possible that X is a view of Y or vice versa.  We don't
  // allow this (apply() requires that X and Y not alias one
  // another), but it's helpful to detect and work around this case.
  // We don't try to to detect the more subtle cases (e.g., one is a
  // subview of the other, but their initial pointers differ).  We
  // only need to do this if this matrix's Import is trivial;
  // otherwise, we don't actually apply the operator from X into Y.

  RCP<const import_type> importer = this->getGraph()->getImporter();
  RCP<const export_type> exporter = this->getGraph()->getExporter();

  // If beta == 0, then the output MV will be overwritten; none of
  // its entries should be read.  (Sparse BLAS semantics say that we
  // must ignore any Inf or NaN entries in Y_in, if beta is zero.)
  // This matters if we need to do an Export operation; see below.
  const bool Y_is_overwritten = (beta == ZERO);

  // We treat the case of a replicated MV output specially.
  const bool Y_is_replicated =
      (!Y_in.isDistributed() && this->getComm()->getSize() != 1);

  // This is part of the special case for replicated MV output.
  // We'll let each process do its thing, but do an all-reduce at
  // the end to sum up the results.  Setting beta=0 on all processes
  // but Proc 0 makes the math work out for the all-reduce.  (This
  // assumes that the replicated data is correctly replicated, so
  // that the data are the same on all processes.)
  if (Y_is_replicated && this->getComm()->getRank() > 0) {
    beta = ZERO;
  }

  // Temporary MV for Import operation.  After the block of code
  // below, this will be an (Imported if necessary) column Map MV
  // ready to give to localApply(...).
  RCP<const MV> X_colMap;
  if (importer.is_null()) {
    if (!X_in.isConstantStride()) {
      // Not all sparse mat-vec kernels can handle an input MV with
      // nonconstant stride correctly, so we have to copy it in that
      // case into a constant stride MV.  To make a constant stride
      // copy of X_in, we force creation of the column (== domain)
      // Map MV (if it hasn't already been created, else fetch the
      // cached copy).  This avoids creating a new MV each time.
      RCP<MV> X_colMapNonConst = getColumnMapMultiVector(X_in, true);
      Tpetra::deep_copy(*X_colMapNonConst, X_in);
      X_colMap = rcp_const_cast<const MV>(X_colMapNonConst);
    } else {
      // The domain and column Maps are the same, so do the local
      // multiply using the domain Map input MV X_in.
      X_colMap = rcpFromRef(X_in);
    }
  } else {  // need to Import source (multi)vector
    ProfilingRegion regionImport("Tpetra::CrsMatrix::apply: Import");

    // We're doing an Import anyway, which will copy the relevant
    // elements of the domain Map MV X_in into a separate column Map
    // MV.  Thus, we don't have to worry whether X_in is constant
    // stride.
    RCP<MV> X_colMapNonConst = getColumnMapMultiVector(X_in);

    // Import from the domain Map MV to the column Map MV.
    X_colMapNonConst->doImport(X_in, *importer, INSERT);
    X_colMap = rcp_const_cast<const MV>(X_colMapNonConst);
  }

  // Temporary MV for doExport (if needed), or for copying a
  // nonconstant stride output MV into a constant stride MV.  This
  // is null if we don't need the temporary MV, that is, if the
  // Export is trivial (null).
  RCP<MV> Y_rowMap = getRowMapMultiVector(Y_in);

  // If we have a nontrivial Export object, we must perform an
  // Export.  In that case, the local multiply result will go into
  // the row Map multivector.  We don't have to make a
  // constant-stride version of Y_in in this case, because we had to
  // make a constant stride Y_rowMap MV and do an Export anyway.
  if (!exporter.is_null()) {
    this->localApply(*X_colMap, *Y_rowMap, Teuchos::NO_TRANS, alpha, ZERO);
    {
      ProfilingRegion regionExport("Tpetra::CrsMatrix::apply: Export");

      // If we're overwriting the output MV Y_in completely (beta ==
      // 0), then make sure that it is filled with zeros before we
      // do the Export.  Otherwise, the ADD combine mode will use
      // data in Y_in, which is supposed to be zero.
      if (Y_is_overwritten) {
        Y_in.putScalar(ZERO);
      } else {
        // Scale output MV by beta, so that doExport sums in the
        // mat-vec contribution: Y_in = beta*Y_in + alpha*A*X_in.
        Y_in.scale(beta);
      }
      // Do the Export operation.
      Y_in.doExport(*Y_rowMap, *exporter, ADD_ASSIGN);
    }
  } else {  // Don't do an Export: row Map and range Map are the same.
    //
    // If Y_in does not have constant stride, or if the column Map
    // MV aliases Y_in, then we can't let the kernel write directly
    // to Y_in.  Instead, we have to use the cached row (== range)
    // Map MV as temporary storage.
    //
    // FIXME (mfh 05 Jun 2014) This test for aliasing only tests if
    // the user passed in the same MultiVector for both X and Y.  It
    // won't detect whether one MultiVector views the other.  We
    // should also check the MultiVectors' raw data pointers.
    if (!Y_in.isConstantStride() || X_colMap.getRawPtr() == &Y_in) {
      // Force creating the MV if it hasn't been created already.
      // This will reuse a previously created cached MV.
      Y_rowMap = getRowMapMultiVector(Y_in, true);

      // If beta == 0, we don't need to copy Y_in into Y_rowMap,
      // since we're overwriting it anyway.
      if (beta != ZERO) {
        Tpetra::deep_copy(*Y_rowMap, Y_in);
      }
      this->localApply(*X_colMap, *Y_rowMap, Teuchos::NO_TRANS, alpha, beta);
      Tpetra::deep_copy(Y_in, *Y_rowMap);
    } else {
      this->localApply(*X_colMap, Y_in, Teuchos::NO_TRANS, alpha, beta);
    }
  }

  // If the range Map is a locally replicated Map, sum up
  // contributions from each process.  We set beta = 0 on all
  // processes but Proc 0 initially, so this will handle the scaling
  // factor beta correctly.
  if (Y_is_replicated) {
    ProfilingRegion regionReduce("Tpetra::CrsMatrix::apply: Reduce Y");
    Y_in.reduce();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    applyTranspose(const MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& X_in,
                   MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& Y_in,
                   const Teuchos::ETransp mode,
                   Scalar alpha,
                   Scalar beta) const {
  using Teuchos::null;
  using Teuchos::RCP;
  using Teuchos::rcp;
  using Teuchos::rcp_const_cast;
  using Teuchos::rcpFromRef;
  using Tpetra::Details::ProfilingRegion;
  const Scalar ZERO = Teuchos::ScalarTraits<Scalar>::zero();

  // Take shortcuts for alpha == 0.
  if (alpha == ZERO) {
    // Follow the Sparse BLAS convention by ignoring both the matrix
    // and X_in, in this case.
    if (beta == ZERO) {
      // Follow the Sparse BLAS convention by overwriting any Inf or
      // NaN values in Y_in, in this case.
      Y_in.putScalar(ZERO);
    } else {
      Y_in.scale(beta);
    }
    return;
  }

  const size_t numVectors = X_in.getNumVectors();

  // We don't allow X_in and Y_in to alias one another.  It's hard
  // to check this, because advanced users could create views from
  // raw pointers.  However, if X_in and Y_in reference the same
  // object, we will do the user a favor by copying X into new
  // storage (with a warning).  We only need to do this if we have
  // trivial importers; otherwise, we don't actually apply the
  // operator from X into Y.
  RCP<const import_type> importer = this->getGraph()->getImporter();
  RCP<const export_type> exporter = this->getGraph()->getExporter();
  // access X indirectly, in case we need to create temporary storage
  RCP<const MV> X;

  // some parameters for below
  const bool Y_is_replicated  = (!Y_in.isDistributed() && this->getComm()->getSize() != 1);
  const bool Y_is_overwritten = (beta == ZERO);
  if (Y_is_replicated && this->getComm()->getRank() > 0) {
    beta = ZERO;
  }

  // The kernels do not allow input or output with nonconstant stride.
  if (!X_in.isConstantStride() && importer.is_null()) {
    X = rcp(new MV(X_in, Teuchos::Copy));  // Constant-stride copy of X_in
  } else {
    X = rcpFromRef(X_in);  // Reference to X_in
  }

  // Set up temporary multivectors for Import and/or Export.
  if (importer != Teuchos::null) {
    if (importMV_ != Teuchos::null && importMV_->getNumVectors() != numVectors) {
      importMV_ = null;
    }
    if (importMV_ == null) {
      importMV_ = rcp(new MV(this->getColMap(), numVectors));
    }
  }
  if (exporter != Teuchos::null) {
    if (exportMV_ != Teuchos::null && exportMV_->getNumVectors() != numVectors) {
      exportMV_ = null;
    }
    if (exportMV_ == null) {
      exportMV_ = rcp(new MV(this->getRowMap(), numVectors));
    }
  }

  // If we have a non-trivial exporter, we must import elements that
  // are permuted or are on other processors.
  if (!exporter.is_null()) {
    ProfilingRegion regionImport("Tpetra::CrsMatrix::apply (transpose): Import");
    exportMV_->doImport(X_in, *exporter, INSERT);
    X = exportMV_;  // multiply out of exportMV_
  }

  // If we have a non-trivial importer, we must export elements that
  // are permuted or belong to other processors.  We will compute
  // solution into the to-be-exported MV; get a view.
  if (importer != Teuchos::null) {
    ProfilingRegion regionExport("Tpetra::CrsMatrix::apply (transpose): Export");

    // FIXME (mfh 18 Apr 2015) Temporary fix suggested by Clark
    // Dohrmann on Fri 17 Apr 2015.  At some point, we need to go
    // back and figure out why this helps.  importMV_ SHOULD be
    // completely overwritten in the localApply(...) call
    // below, because beta == ZERO there.
    importMV_->putScalar(ZERO);
    // Do the local computation.
    this->localApply(*X, *importMV_, mode, alpha, ZERO);

    if (Y_is_overwritten) {
      Y_in.putScalar(ZERO);
    } else {
      Y_in.scale(beta);
    }
    Y_in.doExport(*importMV_, *importer, ADD_ASSIGN);
  }
  // otherwise, multiply into Y
  else {
    // can't multiply in-situ; can't multiply into non-strided multivector
    //
    // FIXME (mfh 05 Jun 2014) This test for aliasing only tests if
    // the user passed in the same MultiVector for both X and Y.  It
    // won't detect whether one MultiVector views the other.  We
    // should also check the MultiVectors' raw data pointers.
    if (!Y_in.isConstantStride() || X.getRawPtr() == &Y_in) {
      // Make a deep copy of Y_in, into which to write the multiply result.
      MV Y(Y_in, Teuchos::Copy);
      this->localApply(*X, Y, mode, alpha, beta);
      Tpetra::deep_copy(Y_in, Y);
    } else {
      this->localApply(*X, Y_in, mode, alpha, beta);
    }
  }

  // If the range Map is a locally replicated map, sum the
  // contributions from each process.  (That's why we set beta=0
  // above for all processes but Proc 0.)
  if (Y_is_replicated) {
    ProfilingRegion regionReduce("Tpetra::CrsMatrix::apply (transpose): Reduce Y");
    Y_in.reduce();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    localApply(const MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& X,
               MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& Y,
               const Teuchos::ETransp mode,
               const Scalar& alpha,
               const Scalar& beta) const {
  using Teuchos::NO_TRANS;
  using Tpetra::Details::ProfilingRegion;
  ProfilingRegion regionLocalApply("Tpetra::CrsMatrix::localApply");

  auto X_lcl = X.getLocalViewDevice(Access::ReadOnly);
  auto Y_lcl = Y.getLocalViewDevice(Access::ReadWrite);

  const bool debug = ::Tpetra::Details::Behavior::debug();
  if (debug) {
    const char tfecfFuncName[] = "localApply: ";
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(X.getNumVectors() != Y.getNumVectors(), std::runtime_error,
                                          "X.getNumVectors() = " << X.getNumVectors() << " != "
                                                                                         "Y.getNumVectors() = "
                                                                 << Y.getNumVectors() << ".");
    const bool transpose = (mode != Teuchos::NO_TRANS);
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!transpose && X.getLocalLength() !=
                                                            getColMap()->getLocalNumElements(),
                                          std::runtime_error,
                                          "NO_TRANS case: X has the wrong number of local rows.  "
                                          "X.getLocalLength() = "
                                              << X.getLocalLength() << " != "
                                                                       "getColMap()->getLocalNumElements() = "
                                              << getColMap()->getLocalNumElements() << ".");
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!transpose && Y.getLocalLength() !=
                                                            getRowMap()->getLocalNumElements(),
                                          std::runtime_error,
                                          "NO_TRANS case: Y has the wrong number of local rows.  "
                                          "Y.getLocalLength() = "
                                              << Y.getLocalLength() << " != "
                                                                       "getRowMap()->getLocalNumElements() = "
                                              << getRowMap()->getLocalNumElements() << ".");
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(transpose && X.getLocalLength() !=
                                                           getRowMap()->getLocalNumElements(),
                                          std::runtime_error,
                                          "TRANS or CONJ_TRANS case: X has the wrong number of local "
                                          "rows.  X.getLocalLength() = "
                                              << X.getLocalLength()
                                              << " != getRowMap()->getLocalNumElements() = "
                                              << getRowMap()->getLocalNumElements() << ".");
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(transpose && Y.getLocalLength() !=
                                                           getColMap()->getLocalNumElements(),
                                          std::runtime_error,
                                          "TRANS or CONJ_TRANS case: X has the wrong number of local "
                                          "rows.  Y.getLocalLength() = "
                                              << Y.getLocalLength()
                                              << " != getColMap()->getLocalNumElements() = "
                                              << getColMap()->getLocalNumElements() << ".");
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!isFillComplete(), std::runtime_error,
                                          "The matrix is not "
                                          "fill complete.  You must call fillComplete() (possibly with "
                                          "domain and range Map arguments) without an intervening "
                                          "resumeFill() call before you may call this method.");
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!X.isConstantStride() || !Y.isConstantStride(),
                                          std::runtime_error, "X and Y must be constant stride.");
    // If the two pointers are null, then they don't alias one
    // another, even though they are equal.
    // Kokkos does not guarantee that zero row-extent vectors
    // point to different places, so we have to check that too.
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(X_lcl.data() == Y_lcl.data() && X_lcl.data() != nullptr && X_lcl.extent(0) != 0,
                                          std::runtime_error, "X and Y may not alias one another.");
  }

  auto A_lcl = getLocalMatrixDevice();

  if (!applyHelper.get()) {
    // The apply helper does not exist, so create it.
    // Decide now whether to use the imbalanced row path, or the default.
    bool useMergePath = false;
#ifdef KOKKOSKERNELS_ENABLE_TPL_CUSPARSE
    // TODO: when https://github.com/kokkos/kokkos-kernels/issues/2166 is fixed and,
    // we can use SPMV_MERGE_PATH for the native spmv as well.
    // Take out this ifdef to enable that.
    //
    // Until then, only use SPMV_MERGE_PATH when calling cuSPARSE.
    if constexpr (std::is_same_v<execution_space, Kokkos::Cuda>) {
      LocalOrdinal nrows           = getLocalNumRows();
      LocalOrdinal maxRowImbalance = 0;
      if (nrows != 0)
        maxRowImbalance = getLocalMaxNumRowEntries() - (getLocalNumEntries() / nrows);

      if (size_t(maxRowImbalance) >= Tpetra::Details::Behavior::rowImbalanceThreshold())
        useMergePath = true;
    }
#endif
    applyHelper = std::make_shared<ApplyHelper>(A_lcl.nnz(), A_lcl.graph.row_map,
                                                useMergePath ? KokkosSparse::SPMV_MERGE_PATH : KokkosSparse::SPMV_DEFAULT);
  }

  // Translate mode (Teuchos enum) to KokkosKernels (1-character string)
  const char* modeKK = nullptr;
  switch (mode) {
    case Teuchos::NO_TRANS:
      modeKK = KokkosSparse::NoTranspose;
      break;
    case Teuchos::TRANS:
      modeKK = KokkosSparse::Transpose;
      break;
    case Teuchos::CONJ_TRANS:
      modeKK = KokkosSparse::ConjugateTranspose;
      break;
    default:
      throw std::invalid_argument("Tpetra::CrsMatrix::localApply: invalid mode");
  }

  if (applyHelper->shouldUseIntRowptrs()) {
    auto A_lcl_int_rowptrs = applyHelper->getIntRowptrMatrix(A_lcl);
    KokkosSparse::spmv(
        &applyHelper->handle_int, modeKK,
        impl_scalar_type(alpha), A_lcl_int_rowptrs, X_lcl, impl_scalar_type(beta), Y_lcl);
  } else {
    KokkosSparse::spmv(
        &applyHelper->handle, modeKK,
        impl_scalar_type(alpha), A_lcl, X_lcl, impl_scalar_type(beta), Y_lcl);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    apply(const MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& X,
          MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& Y,
          Teuchos::ETransp mode,
          Scalar alpha,
          Scalar beta) const {
  using Tpetra::Details::ProfilingRegion;
  const char fnName[] = "Tpetra::CrsMatrix::apply";

  TEUCHOS_TEST_FOR_EXCEPTION(!isFillComplete(), std::runtime_error,
                             fnName << ": Cannot call apply() until fillComplete() "
                                       "has been called.");

  if (mode == Teuchos::NO_TRANS) {
    ProfilingRegion regionNonTranspose(fnName);
    this->applyNonTranspose(X, Y, alpha, beta);
  } else {
    ProfilingRegion regionTranspose("Tpetra::CrsMatrix::apply (transpose)");
    this->applyTranspose(X, Y, mode, alpha, beta);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
template <class T>
Teuchos::RCP<CrsMatrix<T, LocalOrdinal, GlobalOrdinal, Node>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    convert() const {
  using Teuchos::RCP;
  typedef CrsMatrix<T, LocalOrdinal, GlobalOrdinal, Node> output_matrix_type;
  const char tfecfFuncName[] = "convert: ";

  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!this->isFillComplete(), std::runtime_error,
                                        "This matrix (the source "
                                        "of the conversion) is not fill complete.  You must first call "
                                        "fillComplete() (possibly with the domain and range Map) without an "
                                        "intervening call to resumeFill(), before you may call this method.");

  RCP<output_matrix_type> newMatrix(new output_matrix_type(this->getCrsGraph()));
  // Copy old values into new values.  impl_scalar_type and T may
  // differ, so we can't use Kokkos::deep_copy.
  using ::Tpetra::Details::copyConvert;
  copyConvert(newMatrix->getLocalMatrixDevice().values,
              this->getLocalMatrixDevice().values);
  // Since newmat has a static (const) graph, the graph already has
  // a column Map, and Import and Export objects already exist (if
  // applicable).  Thus, calling fillComplete is cheap.
  newMatrix->fillComplete(this->getDomainMap(), this->getRangeMap());

  return newMatrix;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    checkInternalState() const {
  const bool debug = ::Tpetra::Details::Behavior::debug("CrsGraph");
  if (debug) {
    const char tfecfFuncName[] = "checkInternalState: ";
    const char err[] =
        "Internal state is not consistent.  "
        "Please report this bug to the Tpetra developers.";

    // This version of the graph (RCP<const crs_graph_type>) must
    // always be nonnull.
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(staticGraph_.is_null(), std::logic_error, err);
    // myGraph == null means that the matrix has a const ("static")
    // graph.  Otherwise, the matrix has a dynamic graph (it owns its
    // graph).
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!myGraph_.is_null() && myGraph_ != staticGraph_,
                                          std::logic_error, err);
    // if matrix is fill complete, then graph must be fill complete
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(isFillComplete() && !staticGraph_->isFillComplete(),
                                          std::logic_error, err << "  Specifically, the matrix is fill complete, "
                                                                   "but its graph is NOT fill complete.");
    // if values are allocated and they are non-zero in number, then
    // one of the allocations should be present
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(staticGraph_->indicesAreAllocated() &&
                                              staticGraph_->getLocalAllocationSize() > 0 &&
                                              staticGraph_->getLocalNumRows() > 0 &&
                                              valuesUnpacked_wdv.extent(0) == 0,
                                          std::logic_error, err);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
std::string
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    description() const {
  std::ostringstream os;

  os << "Tpetra::CrsMatrix (Kokkos refactor): {";
  if (this->getObjectLabel() != "") {
    os << "Label: \"" << this->getObjectLabel() << "\", ";
  }
  if (isFillComplete()) {
    os << "isFillComplete: true"
       << ", global dimensions: [" << getGlobalNumRows() << ", "
       << getGlobalNumCols() << "]"
       << ", global number of entries: " << getGlobalNumEntries()
       << "}";
  } else {
    os << "isFillComplete: false"
       << ", global dimensions: [" << getGlobalNumRows() << ", "
       << getGlobalNumCols() << "]}";
  }
  return os.str();
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    describe(Teuchos::FancyOStream& out,
             const Teuchos::EVerbosityLevel verbLevel) const {
  using std::endl;
  using std::setw;
  using Teuchos::ArrayView;
  using Teuchos::Comm;
  using Teuchos::RCP;
  using Teuchos::TypeNameTraits;
  using Teuchos::VERB_DEFAULT;
  using Teuchos::VERB_EXTREME;
  using Teuchos::VERB_HIGH;
  using Teuchos::VERB_LOW;
  using Teuchos::VERB_MEDIUM;
  using Teuchos::VERB_NONE;

  const Teuchos::EVerbosityLevel vl = (verbLevel == VERB_DEFAULT) ? VERB_LOW : verbLevel;

  if (vl == VERB_NONE) {
    return;  // Don't print anything at all
  }

  // By convention, describe() always begins with a tab.
  Teuchos::OSTab tab0(out);

  RCP<const Comm<int>> comm = this->getComm();
  const int myRank          = comm->getRank();
  const int numProcs        = comm->getSize();
  size_t width              = 1;
  for (size_t dec = 10; dec < getGlobalNumRows(); dec *= 10) {
    ++width;
  }
  width = std::max<size_t>(width, static_cast<size_t>(11)) + 2;

  //    none: print nothing
  //     low: print O(1) info from node 0
  //  medium: print O(P) info, num entries per process
  //    high: print O(N) info, num entries per row
  // extreme: print O(NNZ) info: print indices and values
  //
  // for medium and higher, print constituent objects at specified verbLevel
  if (myRank == 0) {
    out << "Tpetra::CrsMatrix (Kokkos refactor):" << endl;
  }
  Teuchos::OSTab tab1(out);

  if (myRank == 0) {
    if (this->getObjectLabel() != "") {
      out << "Label: \"" << this->getObjectLabel() << "\", ";
    }
    {
      out << "Template parameters:" << endl;
      Teuchos::OSTab tab2(out);
      out << "Scalar: " << TypeNameTraits<Scalar>::name() << endl
          << "LocalOrdinal: " << TypeNameTraits<LocalOrdinal>::name() << endl
          << "GlobalOrdinal: " << TypeNameTraits<GlobalOrdinal>::name() << endl
          << "Node: " << TypeNameTraits<Node>::name() << endl;
    }
    if (isFillComplete()) {
      out << "isFillComplete: true" << endl
          << "Global dimensions: [" << getGlobalNumRows() << ", "
          << getGlobalNumCols() << "]" << endl
          << "Global number of entries: " << getGlobalNumEntries() << endl
          << endl
          << "Global max number of entries in a row: "
          << getGlobalMaxNumRowEntries() << endl;
    } else {
      out << "isFillComplete: false" << endl
          << "Global dimensions: [" << getGlobalNumRows() << ", "
          << getGlobalNumCols() << "]" << endl;
    }
  }

  if (vl < VERB_MEDIUM) {
    return;  // all done!
  }

  // Describe the row Map.
  if (myRank == 0) {
    out << endl
        << "Row Map:" << endl;
  }
  if (getRowMap().is_null()) {
    if (myRank == 0) {
      out << "null" << endl;
    }
  } else {
    if (myRank == 0) {
      out << endl;
    }
    getRowMap()->describe(out, vl);
  }

  // Describe the column Map.
  if (myRank == 0) {
    out << "Column Map: ";
  }
  if (getColMap().is_null()) {
    if (myRank == 0) {
      out << "null" << endl;
    }
  } else if (getColMap() == getRowMap()) {
    if (myRank == 0) {
      out << "same as row Map" << endl;
    }
  } else {
    if (myRank == 0) {
      out << endl;
    }
    getColMap()->describe(out, vl);
  }

  // Describe the domain Map.
  if (myRank == 0) {
    out << "Domain Map: ";
  }
  if (getDomainMap().is_null()) {
    if (myRank == 0) {
      out << "null" << endl;
    }
  } else if (getDomainMap() == getRowMap()) {
    if (myRank == 0) {
      out << "same as row Map" << endl;
    }
  } else if (getDomainMap() == getColMap()) {
    if (myRank == 0) {
      out << "same as column Map" << endl;
    }
  } else {
    if (myRank == 0) {
      out << endl;
    }
    getDomainMap()->describe(out, vl);
  }

  // Describe the range Map.
  if (myRank == 0) {
    out << "Range Map: ";
  }
  if (getRangeMap().is_null()) {
    if (myRank == 0) {
      out << "null" << endl;
    }
  } else if (getRangeMap() == getDomainMap()) {
    if (myRank == 0) {
      out << "same as domain Map" << endl;
    }
  } else if (getRangeMap() == getRowMap()) {
    if (myRank == 0) {
      out << "same as row Map" << endl;
    }
  } else {
    if (myRank == 0) {
      out << endl;
    }
    getRangeMap()->describe(out, vl);
  }

  // O(P) data
  for (int curRank = 0; curRank < numProcs; ++curRank) {
    if (myRank == curRank) {
      out << "Process rank: " << curRank << endl;
      Teuchos::OSTab tab2(out);
      if (!staticGraph_->indicesAreAllocated()) {
        out << "Graph indices not allocated" << endl;
      } else {
        out << "Number of allocated entries: "
            << staticGraph_->getLocalAllocationSize() << endl;
      }
      out << "Number of entries: " << getLocalNumEntries() << endl
          << "Max number of entries per row: " << getLocalMaxNumRowEntries()
          << endl;
    }
    // Give output time to complete by executing some barriers.
    comm->barrier();
    comm->barrier();
    comm->barrier();
  }

  if (vl < VERB_HIGH) {
    return;  // all done!
  }

  // O(N) and O(NNZ) data
  for (int curRank = 0; curRank < numProcs; ++curRank) {
    if (myRank == curRank) {
      out << std::setw(width) << "Proc Rank"
          << std::setw(width) << "Global Row"
          << std::setw(width) << "Num Entries";
      if (vl == VERB_EXTREME) {
        out << std::setw(width) << "(Index,Value)";
      }
      out << endl;
      for (size_t r = 0; r < getLocalNumRows(); ++r) {
        const size_t nE   = getNumEntriesInLocalRow(r);
        GlobalOrdinal gid = getRowMap()->getGlobalElement(r);
        out << std::setw(width) << myRank
            << std::setw(width) << gid
            << std::setw(width) << nE;
        if (vl == VERB_EXTREME) {
          if (isGloballyIndexed()) {
            global_inds_host_view_type rowinds;
            values_host_view_type rowvals;
            getGlobalRowView(gid, rowinds, rowvals);
            for (size_t j = 0; j < nE; ++j) {
              out << " (" << rowinds[j]
                  << ", " << rowvals[j]
                  << ") ";
            }
          } else if (isLocallyIndexed()) {
            local_inds_host_view_type rowinds;
            values_host_view_type rowvals;
            getLocalRowView(r, rowinds, rowvals);
            for (size_t j = 0; j < nE; ++j) {
              out << " (" << getColMap()->getGlobalElement(rowinds[j])
                  << ", " << rowvals[j]
                  << ") ";
            }
          }  // globally or locally indexed
        }    // vl == VERB_EXTREME
        out << endl;
      }  // for each row r on this process
    }    // if (myRank == curRank)

    // Give output time to complete
    comm->barrier();
    comm->barrier();
    comm->barrier();
  }  // for each process p
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
bool CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    checkSizes(const SrcDistObject& source) {
  // It's not clear what kind of compatibility checks on sizes can
  // be performed here.  Epetra_CrsGraph doesn't check any sizes for
  // compatibility.

  // Currently, the source object must be a RowMatrix with the same
  // four template parameters as the target CrsMatrix.  We might
  // relax this requirement later.
  const row_matrix_type* srcRowMat =
      dynamic_cast<const row_matrix_type*>(&source);
  return (srcRowMat != nullptr);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    applyCrsPadding(
        const typename crs_graph_type::padding_type& padding,
        const bool verbose) {
  using Details::padCrsArrays;
  using Details::ProfilingRegion;
  using std::endl;
  using LO = local_ordinal_type;
  using row_ptrs_type =
      typename local_graph_device_type::row_map_type::non_const_type;
  using range_policy =
      Kokkos::RangePolicy<execution_space, Kokkos::IndexType<LO>>;
  const char tfecfFuncName[] = "applyCrsPadding";
  const char suffix[] =
      ".  Please report this bug to the Tpetra developers.";
  ProfilingRegion regionCAP("Tpetra::CrsMatrix::applyCrsPadding");

  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", tfecfFuncName);
    std::ostringstream os;
    os << *prefix << "padding: ";
    padding.print(os);
    os << endl;
    std::cerr << os.str();
  }
  const int myRank = !verbose ? -1 : [&]() {
    auto map = this->getMap();
    if (map.is_null()) {
      return -1;
    }
    auto comm = map->getComm();
    if (comm.is_null()) {
      return -1;
    }
    return comm->getRank();
  }();

  // NOTE (mfh 29 Jan 2020) This allocates the values array.
  if (!myGraph_->indicesAreAllocated()) {
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Call allocateIndices" << endl;
      std::cerr << os.str();
    }
    allocateValues(GlobalIndices, GraphNotYetAllocated, verbose);
  }

  // FIXME (mfh 10 Feb 2020) We shouldn't actually reallocate
  // row_ptrs_beg or allocate row_ptrs_end unless the allocation
  // size needs to increase.  That should be the job of
  // padCrsArrays.

  // Making copies here because rowPtrsUnpacked_ has a const type. Otherwise, we
  // would use it directly.

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Allocate row_ptrs_beg: "
       << myGraph_->getRowPtrsUnpackedHost().extent(0) << endl;
    std::cerr << os.str();
  }
  using Kokkos::view_alloc;
  using Kokkos::WithoutInitializing;
  row_ptrs_type row_ptr_beg(view_alloc("row_ptr_beg", WithoutInitializing),
                            myGraph_->rowPtrsUnpacked_dev_.extent(0));
  // DEEP_COPY REVIEW - DEVICE-TO-DEVICE
  Kokkos::deep_copy(execution_space(), row_ptr_beg, myGraph_->rowPtrsUnpacked_dev_);

  const size_t N = row_ptr_beg.extent(0) == 0 ? size_t(0) : size_t(row_ptr_beg.extent(0) - 1);
  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Allocate row_ptrs_end: " << N << endl;
    std::cerr << os.str();
  }
  row_ptrs_type row_ptr_end(
      view_alloc("row_ptr_end", WithoutInitializing), N);

  row_ptrs_type num_row_entries_d;

  const bool refill_num_row_entries =
      myGraph_->k_numRowEntries_.extent(0) != 0;

  if (refill_num_row_entries) {  // unpacked storage
    // We can't assume correct *this capture until C++17, and it's
    // likely more efficient just to capture what we need anyway.
    num_row_entries_d = create_mirror_view_and_copy(memory_space(),
                                                    myGraph_->k_numRowEntries_);
    Kokkos::parallel_for(
        "Fill end row pointers", range_policy(0, N),
        KOKKOS_LAMBDA(const size_t i) {
          row_ptr_end(i) = row_ptr_beg(i) + num_row_entries_d(i);
        });
  } else {
    // FIXME (mfh 04 Feb 2020) Fix padCrsArrays so that if packed
    // storage, we don't need row_ptr_end to be separate allocation;
    // could just have it alias row_ptr_beg+1.
    Kokkos::parallel_for(
        "Fill end row pointers", range_policy(0, N),
        KOKKOS_LAMBDA(const size_t i) {
          row_ptr_end(i) = row_ptr_beg(i + 1);
        });
  }

  if (myGraph_->isGloballyIndexed()) {
    padCrsArrays(row_ptr_beg, row_ptr_end,
                 myGraph_->gblInds_wdv,
                 valuesUnpacked_wdv, padding, myRank, verbose);
    const auto newValuesLen  = valuesUnpacked_wdv.extent(0);
    const auto newColIndsLen = myGraph_->gblInds_wdv.extent(0);
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(newValuesLen != newColIndsLen, std::logic_error,
                                          ": After padding, valuesUnpacked_wdv.extent(0)=" << newValuesLen
                                                                                           << " != myGraph_->gblInds_wdv.extent(0)=" << newColIndsLen
                                                                                           << suffix);
  } else {
    padCrsArrays(row_ptr_beg, row_ptr_end,
                 myGraph_->lclIndsUnpacked_wdv,
                 valuesUnpacked_wdv, padding, myRank, verbose);
    const auto newValuesLen  = valuesUnpacked_wdv.extent(0);
    const auto newColIndsLen = myGraph_->lclIndsUnpacked_wdv.extent(0);
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(newValuesLen != newColIndsLen, std::logic_error,
                                          ": After padding, valuesUnpacked_wdv.extent(0)=" << newValuesLen
                                                                                           << " != myGraph_->lclIndsUnpacked_wdv.extent(0)=" << newColIndsLen
                                                                                           << suffix);
  }

  if (refill_num_row_entries) {
    Kokkos::parallel_for(
        "Fill num entries", range_policy(0, N),
        KOKKOS_LAMBDA(const size_t i) {
          num_row_entries_d(i) = row_ptr_end(i) - row_ptr_beg(i);
        });
    Kokkos::deep_copy(myGraph_->k_numRowEntries_, num_row_entries_d);
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Assign myGraph_->rowPtrsUnpacked_; "
       << "old size: " << myGraph_->rowPtrsUnpacked_host_.extent(0)
       << ", new size: " << row_ptr_beg.extent(0) << endl;
    std::cerr << os.str();
    TEUCHOS_ASSERT(myGraph_->getRowPtrsUnpackedHost().extent(0) ==
                   row_ptr_beg.extent(0));
  }
  myGraph_->setRowPtrsUnpacked(row_ptr_beg);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    copyAndPermuteStaticGraph(
        const RowMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>& srcMat,
        const size_t numSameIDs,
        const LocalOrdinal permuteToLIDs[],
        const LocalOrdinal permuteFromLIDs[],
        const size_t numPermutes) {
  using Details::ProfilingRegion;
  using std::endl;
  using Teuchos::Array;
  using Teuchos::ArrayView;
  using LO                   = LocalOrdinal;
  using GO                   = GlobalOrdinal;
  const char tfecfFuncName[] = "copyAndPermuteStaticGraph";
  const char suffix[] =
      "  Please report this bug to the Tpetra developers.";
  ProfilingRegion regionCAP("Tpetra::CrsMatrix::copyAndPermuteStaticGraph");

  const bool debug   = Details::Behavior::debug("CrsGraph");
  const bool verbose = Details::Behavior::verbose("CrsGraph");
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsGraph", tfecfFuncName);
    std::ostringstream os;
    os << *prefix << "Start" << endl;
  }
  const char* const prefix_raw =
      verbose ? prefix.get()->c_str() : nullptr;

  const bool sourceIsLocallyIndexed = srcMat.isLocallyIndexed();
  //
  // Copy the first numSame row from source to target (this matrix).
  // This involves copying rows corresponding to LIDs [0, numSame-1].
  //
  const map_type& srcRowMap = *(srcMat.getRowMap());
  nonconst_global_inds_host_view_type rowInds;
  nonconst_values_host_view_type rowVals;
  const LO numSameIDs_as_LID = static_cast<LO>(numSameIDs);
  for (LO sourceLID = 0; sourceLID < numSameIDs_as_LID; ++sourceLID) {
    // Global ID for the current row index in the source matrix.
    // The first numSameIDs GIDs in the two input lists are the
    // same, so sourceGID == targetGID in this case.
    const GO sourceGID = srcRowMap.getGlobalElement(sourceLID);
    const GO targetGID = sourceGID;

    ArrayView<const GO> rowIndsConstView;
    ArrayView<const Scalar> rowValsConstView;

    if (sourceIsLocallyIndexed) {
      const size_t rowLength = srcMat.getNumEntriesInGlobalRow(sourceGID);
      if (rowLength > static_cast<size_t>(rowInds.size())) {
        Kokkos::resize(rowInds, rowLength);
        Kokkos::resize(rowVals, rowLength);
      }
      // Resizing invalidates an Array's views, so we must make new
      // ones, even if rowLength hasn't changed.
      nonconst_global_inds_host_view_type rowIndsView = Kokkos::subview(rowInds, std::make_pair((size_t)0, rowLength));
      nonconst_values_host_view_type rowValsView      = Kokkos::subview(rowVals, std::make_pair((size_t)0, rowLength));

      // The source matrix is locally indexed, so we have to get a
      // copy.  Really it's the GIDs that have to be copied (because
      // they have to be converted from LIDs).
      size_t checkRowLength = 0;
      srcMat.getGlobalRowCopy(sourceGID, rowIndsView,
                              rowValsView, checkRowLength);
      if (debug) {
        TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(rowLength != checkRowLength, std::logic_error,
                                              "For "
                                              "global row index "
                                                  << sourceGID << ", the source "
                                                                  "matrix's getNumEntriesInGlobalRow returns a row length "
                                                                  "of "
                                                  << rowLength << ", but getGlobalRowCopy reports "
                                                                  "a row length of "
                                                  << checkRowLength << "." << suffix);
      }

      // KDDKDD UVM TEMPORARY:  refactor combineGlobalValues to take
      // KDDKDD UVM TEMPORARY:  Kokkos::View instead of ArrayView
      // KDDKDD UVM TEMPORARY:  For now, wrap the view in ArrayViews
      // KDDKDD UVM TEMPORARY:  Should be safe because we hold the KokkosViews
      rowIndsConstView = Teuchos::ArrayView<const GO>(  // BAD BAD BAD
          rowIndsView.data(), rowIndsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      rowValsConstView = Teuchos::ArrayView<const Scalar>(  // BAD BAD BAD
          reinterpret_cast<const Scalar*>(rowValsView.data()), rowValsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      // KDDKDD UVM TEMPORARY:  Add replace, sum, transform methods with
      // KDDKDD UVM TEMPORARY:  KokkosView interface
    } else {  // source matrix is globally indexed.
      global_inds_host_view_type rowIndsView;
      values_host_view_type rowValsView;
      srcMat.getGlobalRowView(sourceGID, rowIndsView, rowValsView);
      // KDDKDD UVM TEMPORARY:  refactor combineGlobalValues to take
      // KDDKDD UVM TEMPORARY:  Kokkos::View instead of ArrayView
      // KDDKDD UVM TEMPORARY:  For now, wrap the view in ArrayViews
      // KDDKDD UVM TEMPORARY:  Should be safe because we hold the KokkosViews
      rowIndsConstView = Teuchos::ArrayView<const GO>(  // BAD BAD BAD
          rowIndsView.data(), rowIndsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      rowValsConstView = Teuchos::ArrayView<const Scalar>(  // BAD BAD BAD
          reinterpret_cast<const Scalar*>(rowValsView.data()), rowValsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      // KDDKDD UVM TEMPORARY:  Add replace, sum, transform methods with
      // KDDKDD UVM TEMPORARY:  KokkosView interface
    }

    // Applying a permutation to a matrix with a static graph
    // means REPLACE-ing entries.
    combineGlobalValues(targetGID, rowIndsConstView,
                        rowValsConstView, REPLACE,
                        prefix_raw, debug, verbose);
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Do permutes" << endl;
  }

  const map_type& tgtRowMap = *(this->getRowMap());
  for (size_t p = 0; p < numPermutes; ++p) {
    const GO sourceGID = srcRowMap.getGlobalElement(permuteFromLIDs[p]);
    const GO targetGID = tgtRowMap.getGlobalElement(permuteToLIDs[p]);

    ArrayView<const GO> rowIndsConstView;
    ArrayView<const Scalar> rowValsConstView;

    if (sourceIsLocallyIndexed) {
      const size_t rowLength = srcMat.getNumEntriesInGlobalRow(sourceGID);
      if (rowLength > static_cast<size_t>(rowInds.size())) {
        Kokkos::resize(rowInds, rowLength);
        Kokkos::resize(rowVals, rowLength);
      }
      // Resizing invalidates an Array's views, so we must make new
      // ones, even if rowLength hasn't changed.
      nonconst_global_inds_host_view_type rowIndsView = Kokkos::subview(rowInds, std::make_pair((size_t)0, rowLength));
      nonconst_values_host_view_type rowValsView      = Kokkos::subview(rowVals, std::make_pair((size_t)0, rowLength));

      // The source matrix is locally indexed, so we have to get a
      // copy.  Really it's the GIDs that have to be copied (because
      // they have to be converted from LIDs).
      size_t checkRowLength = 0;
      srcMat.getGlobalRowCopy(sourceGID, rowIndsView,
                              rowValsView, checkRowLength);
      if (debug) {
        TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(rowLength != checkRowLength, std::logic_error,
                                              "For "
                                              "source matrix global row index "
                                                  << sourceGID << ", "
                                                                  "getNumEntriesInGlobalRow returns a row length of "
                                                  << rowLength << ", but getGlobalRowCopy a row length of "
                                                  << checkRowLength << "." << suffix);
      }

      // KDDKDD UVM TEMPORARY:  refactor combineGlobalValues to take
      // KDDKDD UVM TEMPORARY:  Kokkos::View instead of ArrayView
      // KDDKDD UVM TEMPORARY:  For now, wrap the view in ArrayViews
      // KDDKDD UVM TEMPORARY:  Should be safe because we hold the KokkosViews
      rowIndsConstView = Teuchos::ArrayView<const GO>(  // BAD BAD BAD
          rowIndsView.data(), rowIndsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      rowValsConstView = Teuchos::ArrayView<const Scalar>(  // BAD BAD BAD
          reinterpret_cast<const Scalar*>(rowValsView.data()), rowValsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      // KDDKDD UVM TEMPORARY:  Add replace, sum, transform methods with
      // KDDKDD UVM TEMPORARY:  KokkosView interface
    } else {
      global_inds_host_view_type rowIndsView;
      values_host_view_type rowValsView;
      srcMat.getGlobalRowView(sourceGID, rowIndsView, rowValsView);
      // KDDKDD UVM TEMPORARY:  refactor combineGlobalValues to take
      // KDDKDD UVM TEMPORARY:  Kokkos::View instead of ArrayView
      // KDDKDD UVM TEMPORARY:  For now, wrap the view in ArrayViews
      // KDDKDD UVM TEMPORARY:  Should be safe because we hold the KokkosViews
      rowIndsConstView = Teuchos::ArrayView<const GO>(  // BAD BAD BAD
          rowIndsView.data(), rowIndsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      rowValsConstView = Teuchos::ArrayView<const Scalar>(  // BAD BAD BAD
          reinterpret_cast<const Scalar*>(rowValsView.data()), rowValsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      // KDDKDD UVM TEMPORARY:  Add replace, sum, transform methods with
      // KDDKDD UVM TEMPORARY:  KokkosView interface
    }

    combineGlobalValues(targetGID, rowIndsConstView,
                        rowValsConstView, REPLACE,
                        prefix_raw, debug, verbose);
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Done" << endl;
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    copyAndPermuteNonStaticGraph(
        const RowMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>& srcMat,
        const size_t numSameIDs,
        const Kokkos::DualView<const local_ordinal_type*, buffer_device_type>& permuteToLIDs_dv,
        const Kokkos::DualView<const local_ordinal_type*, buffer_device_type>& permuteFromLIDs_dv,
        const size_t numPermutes) {
  using Details::ProfilingRegion;
  using std::endl;
  using Teuchos::Array;
  using Teuchos::ArrayView;
  using LO                   = LocalOrdinal;
  using GO                   = GlobalOrdinal;
  const char tfecfFuncName[] = "copyAndPermuteNonStaticGraph";
  const char suffix[] =
      "  Please report this bug to the Tpetra developers.";
  ProfilingRegion regionCAP("Tpetra::CrsMatrix::copyAndPermuteNonStaticGraph");

  const bool debug   = Details::Behavior::debug("CrsGraph");
  const bool verbose = Details::Behavior::verbose("CrsGraph");
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsGraph", tfecfFuncName);
    std::ostringstream os;
    os << *prefix << "Start" << endl;
  }
  const char* const prefix_raw =
      verbose ? prefix.get()->c_str() : nullptr;

  {
    using row_graph_type           = RowGraph<LO, GO, Node>;
    const row_graph_type& srcGraph = *(srcMat.getGraph());
    auto padding =
        myGraph_->computeCrsPadding(srcGraph, numSameIDs,
                                    permuteToLIDs_dv, permuteFromLIDs_dv, verbose);
    applyCrsPadding(*padding, verbose);
  }
  const bool sourceIsLocallyIndexed = srcMat.isLocallyIndexed();
  //
  // Copy the first numSame row from source to target (this matrix).
  // This involves copying rows corresponding to LIDs [0, numSame-1].
  //
  const map_type& srcRowMap  = *(srcMat.getRowMap());
  const LO numSameIDs_as_LID = static_cast<LO>(numSameIDs);
  using gids_type            = nonconst_global_inds_host_view_type;
  using vals_type            = nonconst_values_host_view_type;
  gids_type rowInds;
  vals_type rowVals;
  for (LO sourceLID = 0; sourceLID < numSameIDs_as_LID; ++sourceLID) {
    // Global ID for the current row index in the source matrix.
    // The first numSameIDs GIDs in the two input lists are the
    // same, so sourceGID == targetGID in this case.
    const GO sourceGID = srcRowMap.getGlobalElement(sourceLID);
    const GO targetGID = sourceGID;

    ArrayView<const GO> rowIndsConstView;
    ArrayView<const Scalar> rowValsConstView;

    if (sourceIsLocallyIndexed) {
      const size_t rowLength = srcMat.getNumEntriesInGlobalRow(sourceGID);
      if (rowLength > static_cast<size_t>(rowInds.extent(0))) {
        Kokkos::resize(rowInds, rowLength);
        Kokkos::resize(rowVals, rowLength);
      }
      // Resizing invalidates an Array's views, so we must make new
      // ones, even if rowLength hasn't changed.
      gids_type rowIndsView = Kokkos::subview(rowInds, std::make_pair((size_t)0, rowLength));
      vals_type rowValsView = Kokkos::subview(rowVals, std::make_pair((size_t)0, rowLength));

      // The source matrix is locally indexed, so we have to get a
      // copy.  Really it's the GIDs that have to be copied (because
      // they have to be converted from LIDs).
      size_t checkRowLength = 0;
      srcMat.getGlobalRowCopy(sourceGID, rowIndsView, rowValsView,
                              checkRowLength);
      if (debug) {
        TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(rowLength != checkRowLength, std::logic_error,
                                              ": For "
                                              "global row index "
                                                  << sourceGID << ", the source "
                                                                  "matrix's getNumEntriesInGlobalRow returns a row length "
                                                                  "of "
                                                  << rowLength << ", but getGlobalRowCopy reports "
                                                                  "a row length of "
                                                  << checkRowLength << "." << suffix);
      }
      rowIndsConstView = Teuchos::ArrayView<const GO>(rowIndsView.data(), rowLength);
      rowValsConstView = Teuchos::ArrayView<const Scalar>(reinterpret_cast<Scalar*>(rowValsView.data()), rowLength);
    } else {  // source matrix is globally indexed.
      global_inds_host_view_type rowIndsView;
      values_host_view_type rowValsView;
      srcMat.getGlobalRowView(sourceGID, rowIndsView, rowValsView);

      // KDDKDD UVM TEMPORARY:  refactor combineGlobalValues to take
      // KDDKDD UVM TEMPORARY:  Kokkos::View instead of ArrayView
      // KDDKDD UVM TEMPORARY:  For now, wrap the view in ArrayViews
      // KDDKDD UVM TEMPORARY:  Should be safe because we hold the KokkosViews
      rowIndsConstView = Teuchos::ArrayView<const GO>(  // BAD BAD BAD
          rowIndsView.data(), rowIndsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      rowValsConstView = Teuchos::ArrayView<const Scalar>(  // BAD BAD BAD
          reinterpret_cast<const Scalar*>(rowValsView.data()), rowValsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      // KDDKDD UVM TEMPORARY:  Add replace, sum, transform methods with
      // KDDKDD UVM TEMPORARY:  KokkosView interface
    }

    // Combine the data into the target matrix.
    insertGlobalValuesFilteredChecked(targetGID, rowIndsConstView,
                                      rowValsConstView, prefix_raw, debug, verbose);
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Do permutes" << endl;
  }
  const LO* const permuteFromLIDs = permuteFromLIDs_dv.view_host().data();
  const LO* const permuteToLIDs   = permuteToLIDs_dv.view_host().data();

  const map_type& tgtRowMap = *(this->getRowMap());
  for (size_t p = 0; p < numPermutes; ++p) {
    const GO sourceGID = srcRowMap.getGlobalElement(permuteFromLIDs[p]);
    const GO targetGID = tgtRowMap.getGlobalElement(permuteToLIDs[p]);

    ArrayView<const GO> rowIndsConstView;
    ArrayView<const Scalar> rowValsConstView;

    if (sourceIsLocallyIndexed) {
      const size_t rowLength = srcMat.getNumEntriesInGlobalRow(sourceGID);
      if (rowLength > static_cast<size_t>(rowInds.extent(0))) {
        Kokkos::resize(rowInds, rowLength);
        Kokkos::resize(rowVals, rowLength);
      }
      // Resizing invalidates an Array's views, so we must make new
      // ones, even if rowLength hasn't changed.
      gids_type rowIndsView = Kokkos::subview(rowInds, std::make_pair((size_t)0, rowLength));
      vals_type rowValsView = Kokkos::subview(rowVals, std::make_pair((size_t)0, rowLength));

      // The source matrix is locally indexed, so we have to get a
      // copy.  Really it's the GIDs that have to be copied (because
      // they have to be converted from LIDs).
      size_t checkRowLength = 0;
      srcMat.getGlobalRowCopy(sourceGID, rowIndsView,
                              rowValsView, checkRowLength);
      if (debug) {
        TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(rowLength != checkRowLength, std::logic_error,
                                              "For "
                                              "source matrix global row index "
                                                  << sourceGID << ", "
                                                                  "getNumEntriesInGlobalRow returns a row length of "
                                                  << rowLength << ", but getGlobalRowCopy a row length of "
                                                  << checkRowLength << "." << suffix);
      }
      rowIndsConstView = Teuchos::ArrayView<const GO>(rowIndsView.data(), rowLength);
      rowValsConstView = Teuchos::ArrayView<const Scalar>(reinterpret_cast<Scalar*>(rowValsView.data()), rowLength);
    } else {
      global_inds_host_view_type rowIndsView;
      values_host_view_type rowValsView;
      srcMat.getGlobalRowView(sourceGID, rowIndsView, rowValsView);

      // KDDKDD UVM TEMPORARY:  refactor combineGlobalValues to take
      // KDDKDD UVM TEMPORARY:  Kokkos::View instead of ArrayView
      // KDDKDD UVM TEMPORARY:  For now, wrap the view in ArrayViews
      // KDDKDD UVM TEMPORARY:  Should be safe because we hold the KokkosViews
      rowIndsConstView = Teuchos::ArrayView<const GO>(  // BAD BAD BAD
          rowIndsView.data(), rowIndsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      rowValsConstView = Teuchos::ArrayView<const Scalar>(  // BAD BAD BAD
          reinterpret_cast<const Scalar*>(rowValsView.data()), rowValsView.extent(0),
          Teuchos::RCP_DISABLE_NODE_LOOKUP);
      // KDDKDD UVM TEMPORARY:  Add replace, sum, transform methods with
      // KDDKDD UVM TEMPORARY:  KokkosView interface
    }

    // Combine the data into the target matrix.
    insertGlobalValuesFilteredChecked(targetGID, rowIndsConstView,
                                      rowValsConstView, prefix_raw, debug, verbose);
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Done" << endl;
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    copyAndPermute(
        const SrcDistObject& srcObj,
        const size_t numSameIDs,
        const Kokkos::DualView<const local_ordinal_type*, buffer_device_type>& permuteToLIDs,
        const Kokkos::DualView<const local_ordinal_type*, buffer_device_type>& permuteFromLIDs,
        const CombineMode /*CM*/) {
  using Details::Behavior;
  using Details::dualViewStatusToString;
  using Details::ProfilingRegion;
  using std::endl;

  // Method name string for TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC.
  const char tfecfFuncName[] = "copyAndPermute: ";
  ProfilingRegion regionCAP("Tpetra::CrsMatrix::copyAndPermute");

  const bool verbose = Behavior::verbose("CrsMatrix");
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "copyAndPermute");
    std::ostringstream os;
    os << *prefix << endl
       << *prefix << "  numSameIDs: " << numSameIDs << endl
       << *prefix << "  numPermute: " << permuteToLIDs.extent(0)
       << endl
       << *prefix << "  "
       << dualViewStatusToString(permuteToLIDs, "permuteToLIDs")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(permuteFromLIDs, "permuteFromLIDs")
       << endl
       << *prefix << "  "
       << "isStaticGraph: " << (isStaticGraph() ? "true" : "false")
       << endl;
    std::cerr << os.str();
  }

  const auto numPermute = permuteToLIDs.extent(0);
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(numPermute != permuteFromLIDs.extent(0),
                                        std::invalid_argument, "permuteToLIDs.extent(0) = " << numPermute << "!= permuteFromLIDs.extent(0) = " << permuteFromLIDs.extent(0) << ".");

  // This dynamic cast should succeed, because we've already tested
  // it in checkSizes().
  using RMT         = RowMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>;
  const RMT& srcMat = dynamic_cast<const RMT&>(srcObj);
  if (isStaticGraph()) {
    TEUCHOS_ASSERT(!permuteToLIDs.need_sync_host());
    auto permuteToLIDs_h = permuteToLIDs.view_host();
    TEUCHOS_ASSERT(!permuteFromLIDs.need_sync_host());
    auto permuteFromLIDs_h = permuteFromLIDs.view_host();

    copyAndPermuteStaticGraph(srcMat, numSameIDs,
                              permuteToLIDs_h.data(),
                              permuteFromLIDs_h.data(),
                              numPermute);
  } else {
    copyAndPermuteNonStaticGraph(srcMat, numSameIDs, permuteToLIDs,
                                 permuteFromLIDs, numPermute);
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Done" << endl;
    std::cerr << os.str();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    packAndPrepare(const SrcDistObject& source,
                   const Kokkos::DualView<const local_ordinal_type*, buffer_device_type>& exportLIDs,
                   Kokkos::DualView<char*, buffer_device_type>& exports,
                   Kokkos::DualView<size_t*, buffer_device_type> numPacketsPerLID,
                   size_t& constantNumPackets) {
  using Details::Behavior;
  using Details::dualViewStatusToString;
  using Details::ProfilingRegion;
  using std::endl;
  using Teuchos::outArg;
  using Teuchos::REDUCE_MAX;
  using Teuchos::reduceAll;
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;
  const char tfecfFuncName[] = "packAndPrepare: ";
  ProfilingRegion regionPAP("Tpetra::CrsMatrix::packAndPrepare");

  const bool debug   = Behavior::debug("CrsMatrix");
  const bool verbose = Behavior::verbose("CrsMatrix");

  // Processes on which the communicator is null should not participate.
  Teuchos::RCP<const Teuchos::Comm<int>> pComm = this->getComm();
  if (pComm.is_null()) {
    return;
  }
  const Teuchos::Comm<int>& comm = *pComm;
  const int myRank               = comm.getSize();

  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "packAndPrepare");
    std::ostringstream os;
    os << *prefix << "Start" << endl
       << *prefix << "  "
       << dualViewStatusToString(exportLIDs, "exportLIDs")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(exports, "exports")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(numPacketsPerLID, "numPacketsPerLID")
       << endl;
    std::cerr << os.str();
  }

  // Attempt to cast the source object to CrsMatrix.  If successful,
  // use the source object's packNew() method to pack its data for
  // communication.  Otherwise, attempt to cast to RowMatrix; if
  // successful, use the source object's pack() method.  Otherwise,
  // the source object doesn't have the right type.
  //
  // FIXME (mfh 30 Jun 2013, 11 Sep 2017) We don't even need the
  // RowMatrix to have the same Node type.  Unfortunately, we don't
  // have a way to ask if the RowMatrix is "a RowMatrix with any
  // Node type," since RowMatrix doesn't have a base class.  A
  // hypothetical RowMatrixBase<Scalar, LO, GO> class, which does
  // not currently exist, would satisfy this requirement.
  //
  // Why RowMatrixBase<Scalar, LO, GO>?  The source object's Scalar
  // type doesn't technically need to match the target object's
  // Scalar type, so we could just have RowMatrixBase<LO, GO>.  LO
  // and GO need not be the same, as long as there is no overflow of
  // the indices.  However, checking for index overflow is global
  // and therefore undesirable.

  std::ostringstream msg;  // for collecting error messages
  int lclBad = 0;          // to be set below

  using crs_matrix_type = CrsMatrix<Scalar, LO, GO, Node>;
  const crs_matrix_type* srcCrsMat =
      dynamic_cast<const crs_matrix_type*>(&source);
  if (srcCrsMat != nullptr) {
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Source matrix same (CrsMatrix) type as target; "
                       "calling packNew"
         << endl;
      std::cerr << os.str();
    }
    try {
      srcCrsMat->packNew(exportLIDs, exports, numPacketsPerLID,
                         constantNumPackets);
    } catch (std::exception& e) {
      lclBad = 1;
      msg << "Proc " << myRank << ": " << e.what() << std::endl;
    }
  } else {
    using Kokkos::HostSpace;
    using Kokkos::subview;
    using exports_type = Kokkos::DualView<char*, buffer_device_type>;
    using range_type   = Kokkos::pair<size_t, size_t>;

    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Source matrix NOT same (CrsMatrix) type as target"
         << endl;
      std::cerr << os.str();
    }

    const row_matrix_type* srcRowMat =
        dynamic_cast<const row_matrix_type*>(&source);
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(srcRowMat == nullptr, std::invalid_argument,
                                          "The source object of the Import or Export operation is neither a "
                                          "CrsMatrix (with the same template parameters as the target object), "
                                          "nor a RowMatrix (with the same first four template parameters as the "
                                          "target object).");

    // For the RowMatrix case, we need to convert from
    // Kokkos::DualView to Teuchos::Array*.  This doesn't need to be
    // so terribly efficient, since packing a non-CrsMatrix
    // RowMatrix for Import/Export into a CrsMatrix is not a
    // critical case.  Thus, we may allocate Teuchos::Array objects
    // here and copy to and from Kokkos::*View.

    // View exportLIDs's host data as a Teuchos::ArrayView.
    TEUCHOS_ASSERT(!exportLIDs.need_sync_host());
    auto exportLIDs_h = exportLIDs.view_host();
    Teuchos::ArrayView<const LO> exportLIDs_av(exportLIDs_h.data(),
                                               exportLIDs_h.size());

    // pack() will allocate exports_a as needed.  We'll copy back
    // into exports (after (re)allocating exports if needed) below.
    Teuchos::Array<char> exports_a;

    // View exportLIDs' host data as a Teuchos::ArrayView.  We don't
    // need to sync, since we're doing write-only access, but we do
    // need to mark the DualView as modified on host.

    numPacketsPerLID.clear_sync_state();  // write-only access
    numPacketsPerLID.modify_host();
    auto numPacketsPerLID_h = numPacketsPerLID.view_host();
    Teuchos::ArrayView<size_t> numPacketsPerLID_av(numPacketsPerLID_h.data(),
                                                   numPacketsPerLID_h.size());

    // Invoke RowMatrix's legacy pack() interface, using above
    // Teuchos::Array* objects.
    try {
      srcRowMat->pack(exportLIDs_av, exports_a, numPacketsPerLID_av,
                      constantNumPackets);
    } catch (std::exception& e) {
      lclBad = 1;
      msg << "Proc " << myRank << ": " << e.what() << std::endl;
    }

    // Allocate 'exports', and copy exports_a back into it.
    const size_t newAllocSize = static_cast<size_t>(exports_a.size());
    if (static_cast<size_t>(exports.extent(0)) < newAllocSize) {
      const std::string oldLabel = exports.view_device().label();
      const std::string newLabel = (oldLabel == "") ? "exports" : oldLabel;
      exports                    = exports_type(newLabel, newAllocSize);
    }
    // It's safe to assume that we're working on host anyway, so
    // just keep exports sync'd to host.
    // ignore current device contents
    exports.modify_host();

    auto exports_h     = exports.view_host();
    auto exports_h_sub = subview(exports_h, range_type(0, newAllocSize));

    // Kokkos::deep_copy needs a Kokkos::View input, so turn
    // exports_a into a nonowning Kokkos::View first before copying.
    typedef typename exports_type::t_host::execution_space HES;
    typedef Kokkos::Device<HES, HostSpace> host_device_type;
    Kokkos::View<const char*, host_device_type>
        exports_a_kv(exports_a.getRawPtr(), newAllocSize);
    // DEEP_COPY REVIEW - NOT TESTED
    Kokkos::deep_copy(exports_h_sub, exports_a_kv);
  }

  if (debug) {
    int gblBad = 0;  // output argument; to be set below
    reduceAll<int, int>(comm, REDUCE_MAX, lclBad, outArg(gblBad));
    if (gblBad != 0) {
      Tpetra::Details::gathervPrint(std::cerr, msg.str(), comm);
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::logic_error,
                                            "packNew() or pack() threw an exception on "
                                            "one or more participating processes.");
    }
  } else {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(lclBad != 0, std::logic_error,
                                          "packNew threw an exception on one "
                                          "or more participating processes.  Here is this process' error "
                                          "message: "
                                              << msg.str());
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "packAndPrepare: Done!" << endl
       << *prefix << "  "
       << dualViewStatusToString(exportLIDs, "exportLIDs")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(exports, "exports")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(numPacketsPerLID, "numPacketsPerLID")
       << endl;
    std::cerr << os.str();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    packRow(char exports[],
            const size_t offset,
            const size_t numEnt,
            const GlobalOrdinal gidsIn[],
            const impl_scalar_type valsIn[],
            const size_t numBytesPerValue) const {
  using Kokkos::subview;
  using Kokkos::View;
  using Tpetra::Details::PackTraits;
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;
  typedef impl_scalar_type ST;

  if (numEnt == 0) {
    // Empty rows always take zero bytes, to ensure sparsity.
    return 0;
  }

  const GO gid      = 0;  // packValueCount wants this
  const LO numEntLO = static_cast<size_t>(numEnt);

  const size_t numEntBeg = offset;
  const size_t numEntLen = PackTraits<LO>::packValueCount(numEntLO);
  const size_t gidsBeg   = numEntBeg + numEntLen;
  const size_t gidsLen   = numEnt * PackTraits<GO>::packValueCount(gid);
  const size_t valsBeg   = gidsBeg + gidsLen;
  const size_t valsLen   = numEnt * numBytesPerValue;

  char* const numEntOut = exports + numEntBeg;
  char* const gidsOut   = exports + gidsBeg;
  char* const valsOut   = exports + valsBeg;

  size_t numBytesOut = 0;
  int errorCode      = 0;
  numBytesOut += PackTraits<LO>::packValue(numEntOut, numEntLO);

  {
    Kokkos::pair<int, size_t> p;
    p = PackTraits<GO>::packArray(gidsOut, gidsIn, numEnt);
    errorCode += p.first;
    numBytesOut += p.second;

    p = PackTraits<ST>::packArray(valsOut, valsIn, numEnt);
    errorCode += p.first;
    numBytesOut += p.second;
  }

  const size_t expectedNumBytes = numEntLen + gidsLen + valsLen;
  TEUCHOS_TEST_FOR_EXCEPTION(numBytesOut != expectedNumBytes, std::logic_error,
                             "packRow: "
                             "numBytesOut = "
                                 << numBytesOut << " != expectedNumBytes = "
                                 << expectedNumBytes << ".");
  TEUCHOS_TEST_FOR_EXCEPTION(errorCode != 0, std::runtime_error,
                             "packRow: "
                             "PackTraits::packArray returned a nonzero error code");

  return numBytesOut;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
size_t
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    unpackRow(GlobalOrdinal gidsOut[],
              impl_scalar_type valsOut[],
              const char imports[],
              const size_t offset,
              const size_t numBytes,
              const size_t numEnt,
              const size_t numBytesPerValue) {
  using Kokkos::subview;
  using Kokkos::View;
  using Tpetra::Details::PackTraits;
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;
  typedef impl_scalar_type ST;

  Details::ProfilingRegion region_upack_row(
      "Tpetra::CrsMatrix::unpackRow",
      "Import/Export");

  if (numBytes == 0) {
    // Rows with zero bytes should always have zero entries.
    if (numEnt != 0) {
      const int myRank = this->getMap()->getComm()->getRank();
      TEUCHOS_TEST_FOR_EXCEPTION(true, std::logic_error, "(Proc " << myRank << ") CrsMatrix::"
                                                                               "unpackRow: The number of bytes to unpack numBytes=0, but the "
                                                                               "number of entries to unpack (as reported by numPacketsPerLID) "
                                                                               "for this row numEnt="
                                                                  << numEnt << " != 0.");
    }
    return 0;
  }

  if (numEnt == 0 && numBytes != 0) {
    const int myRank = this->getMap()->getComm()->getRank();
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::logic_error, "(Proc " << myRank << ") CrsMatrix::"
                                                                             "unpackRow: The number of entries to unpack (as reported by "
                                                                             "numPacketsPerLID) numEnt=0, but the number of bytes to unpack "
                                                                             "numBytes="
                                                                << numBytes << " != 0.");
  }

  const GO gid = 0;  // packValueCount wants this
  const LO lid = 0;  // packValueCount wants this

  const size_t numEntBeg = offset;
  const size_t numEntLen = PackTraits<LO>::packValueCount(lid);
  const size_t gidsBeg   = numEntBeg + numEntLen;
  const size_t gidsLen   = numEnt * PackTraits<GO>::packValueCount(gid);
  const size_t valsBeg   = gidsBeg + gidsLen;
  const size_t valsLen   = numEnt * numBytesPerValue;

  const char* const numEntIn = imports + numEntBeg;
  const char* const gidsIn   = imports + gidsBeg;
  const char* const valsIn   = imports + valsBeg;

  size_t numBytesOut = 0;
  int errorCode      = 0;
  LO numEntOut;
  numBytesOut += PackTraits<LO>::unpackValue(numEntOut, numEntIn);
  if (static_cast<size_t>(numEntOut) != numEnt ||
      numEntOut == static_cast<LO>(0)) {
    const int myRank = this->getMap()->getComm()->getRank();
    std::ostringstream os;
    os << "(Proc " << myRank << ") CrsMatrix::unpackRow: ";
    bool firstErrorCondition = false;
    if (static_cast<size_t>(numEntOut) != numEnt) {
      os << "Number of entries from numPacketsPerLID numEnt=" << numEnt
         << " does not equal number of entries unpacked from imports "
            "buffer numEntOut="
         << numEntOut << ".";
      firstErrorCondition = true;
    }
    if (numEntOut == static_cast<LO>(0)) {
      if (firstErrorCondition) {
        os << "  Also, ";
      }
      os << "Number of entries unpacked from imports buffer numEntOut=0, "
            "but number of bytes to unpack for this row numBytes="
         << numBytes
         << " != 0.  This should never happen, since packRow should only "
            "ever pack rows with a nonzero number of entries.  In this case, "
            "the number of entries from numPacketsPerLID is numEnt="
         << numEnt
         << ".";
    }
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::logic_error, os.str());
  }

  {
    Kokkos::pair<int, size_t> p;
    p = PackTraits<GO>::unpackArray(gidsOut, gidsIn, numEnt);
    errorCode += p.first;
    numBytesOut += p.second;

    p = PackTraits<ST>::unpackArray(valsOut, valsIn, numEnt);
    errorCode += p.first;
    numBytesOut += p.second;
  }

  TEUCHOS_TEST_FOR_EXCEPTION(numBytesOut != numBytes, std::logic_error, "unpackRow: numBytesOut = " << numBytesOut << " != numBytes = " << numBytes << ".");

  const size_t expectedNumBytes = numEntLen + gidsLen + valsLen;
  TEUCHOS_TEST_FOR_EXCEPTION(numBytesOut != expectedNumBytes, std::logic_error,
                             "unpackRow: "
                             "numBytesOut = "
                                 << numBytesOut << " != expectedNumBytes = "
                                 << expectedNumBytes << ".");

  TEUCHOS_TEST_FOR_EXCEPTION(errorCode != 0, std::runtime_error,
                             "unpackRow: "
                             "PackTraits::unpackArray returned a nonzero error code");

  return numBytesOut;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    allocatePackSpaceNew(Kokkos::DualView<char*, buffer_device_type>& exports,
                         size_t& totalNumEntries,
                         const Kokkos::DualView<const local_ordinal_type*, buffer_device_type>& exportLIDs) const {
  using Details::Behavior;
  using Details::dualViewStatusToString;
  using std::endl;
  typedef impl_scalar_type IST;
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;
  // const char tfecfFuncName[] = "allocatePackSpaceNew: ";

  // mfh 18 Oct 2017: Set TPETRA_VERBOSE to true for copious debug
  // output to std::cerr on every MPI process.  This is unwise for
  // runs with large numbers of MPI processes.
  const bool verbose = Behavior::verbose("CrsMatrix");
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "allocatePackSpaceNew");
    std::ostringstream os;
    os << *prefix << "Before:"
       << endl
       << *prefix << "  "
       << dualViewStatusToString(exports, "exports")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(exportLIDs, "exportLIDs")
       << endl;
    std::cerr << os.str();
  }

  // The number of export LIDs must fit in LocalOrdinal, assuming
  // that the LIDs are distinct and valid on the calling process.
  const LO numExportLIDs = static_cast<LO>(exportLIDs.extent(0));

  TEUCHOS_ASSERT(!exportLIDs.need_sync_host());
  auto exportLIDs_h = exportLIDs.view_host();

  // Count the total number of matrix entries to send.
  totalNumEntries = 0;
  for (LO i = 0; i < numExportLIDs; ++i) {
    const LO lclRow      = exportLIDs_h[i];
    size_t curNumEntries = this->getNumEntriesInLocalRow(lclRow);
    // FIXME (mfh 25 Jan 2015) We should actually report invalid row
    // indices as an error.  Just consider them nonowned for now.
    if (curNumEntries == Teuchos::OrdinalTraits<size_t>::invalid()) {
      curNumEntries = 0;
    }
    totalNumEntries += curNumEntries;
  }

  // FIXME (mfh 24 Feb 2013, 24 Mar 2017) This code is only correct
  // if sizeof(IST) is a meaningful representation of the amount of
  // data in a Scalar instance.  (LO and GO are always built-in
  // integer types.)
  //
  // Allocate the exports array.  It does NOT need padding for
  // alignment, since we use memcpy to write to / read from send /
  // receive buffers.
  const size_t allocSize =
      static_cast<size_t>(numExportLIDs) * sizeof(LO) +
      totalNumEntries * (sizeof(IST) + sizeof(GO));
  if (static_cast<size_t>(exports.extent(0)) < allocSize) {
    using exports_type = Kokkos::DualView<char*, buffer_device_type>;

    const std::string oldLabel = exports.view_device().label();
    const std::string newLabel = (oldLabel == "") ? "exports" : oldLabel;
    exports                    = exports_type(newLabel, allocSize);
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "After:"
       << endl
       << *prefix << "  "
       << dualViewStatusToString(exports, "exports")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(exportLIDs, "exportLIDs")
       << endl;
    std::cerr << os.str();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    packNew(const Kokkos::DualView<const local_ordinal_type*, buffer_device_type>& exportLIDs,
            Kokkos::DualView<char*, buffer_device_type>& exports,
            const Kokkos::DualView<size_t*, buffer_device_type>& numPacketsPerLID,
            size_t& constantNumPackets) const {
  // The call to packNew in packAndPrepare catches and handles any exceptions.
  Details::ProfilingRegion region_pack_new("Tpetra::CrsMatrix::packNew", "Import/Export");
  if (this->isStaticGraph()) {
    using ::Tpetra::Details::packCrsMatrixNew;
    packCrsMatrixNew(*this, exports, numPacketsPerLID, exportLIDs,
                     constantNumPackets);
  } else {
    this->packNonStaticNew(exportLIDs, exports, numPacketsPerLID,
                           constantNumPackets);
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    packNonStaticNew(const Kokkos::DualView<const local_ordinal_type*, buffer_device_type>& exportLIDs,
                     Kokkos::DualView<char*, buffer_device_type>& exports,
                     const Kokkos::DualView<size_t*, buffer_device_type>& numPacketsPerLID,
                     size_t& constantNumPackets) const {
  using Details::Behavior;
  using Details::create_mirror_view_from_raw_host_array;
  using Details::dualViewStatusToString;
  using Details::PackTraits;
  using Kokkos::View;
  using std::endl;
  using LO                   = LocalOrdinal;
  using GO                   = GlobalOrdinal;
  using ST                   = impl_scalar_type;
  const char tfecfFuncName[] = "packNonStaticNew: ";

  const bool verbose = Behavior::verbose("CrsMatrix");
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "packNonStaticNew");
    std::ostringstream os;
    os << *prefix << "Start" << endl;
    std::cerr << os.str();
  }

  const size_t numExportLIDs = static_cast<size_t>(exportLIDs.extent(0));
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(numExportLIDs != static_cast<size_t>(numPacketsPerLID.extent(0)),
                                        std::invalid_argument, "exportLIDs.size() = " << numExportLIDs << " != numPacketsPerLID.size() = " << numPacketsPerLID.extent(0) << ".");

  // Setting this to zero tells the caller to expect a possibly
  // different ("nonconstant") number of packets per local index
  // (i.e., a possibly different number of entries per row).
  constantNumPackets = 0;

  // The pack buffer 'exports' enters this method possibly
  // unallocated.  Do the first two parts of "Count, allocate, fill,
  // compute."
  size_t totalNumEntries = 0;
  this->allocatePackSpaceNew(exports, totalNumEntries, exportLIDs);
  const size_t bufSize = static_cast<size_t>(exports.extent(0));

  // Write-only host access
  exports.clear_sync_state();
  exports.modify_host();
  auto exports_h = exports.view_host();
  if (verbose) {
    std::ostringstream os;
    os << *prefix << "After marking exports as modified on host, "
       << dualViewStatusToString(exports, "exports") << endl;
    std::cerr << os.str();
  }

  // Read-only host access
  auto exportLIDs_h = exportLIDs.view_host();

  // Write-only host access
  const_cast<Kokkos::DualView<size_t*, buffer_device_type>*>(&numPacketsPerLID)->clear_sync_state();
  const_cast<Kokkos::DualView<size_t*, buffer_device_type>*>(&numPacketsPerLID)->modify_host();
  auto numPacketsPerLID_h = numPacketsPerLID.view_host();

  // Compute the number of "packets" (in this case, bytes) per
  // export LID (in this case, local index of the row to send), and
  // actually pack the data.
  auto maxRowNumEnt = this->getLocalMaxNumRowEntries();

  // Temporary buffer for global column indices.
  typename global_inds_host_view_type::non_const_type gidsIn_k;
  if (this->isLocallyIndexed()) {  // Need storage for Global IDs
    gidsIn_k =
        typename global_inds_host_view_type::non_const_type("packGids",
                                                            maxRowNumEnt);
  }

  size_t offset = 0;  // current index into 'exports' array.
  for (size_t i = 0; i < numExportLIDs; ++i) {
    const LO lclRow = exportLIDs_h[i];

    size_t numBytes = 0;
    size_t numEnt   = this->getNumEntriesInLocalRow(lclRow);

    // Only pack this row's data if it has a nonzero number of
    // entries.  We can do this because receiving processes get the
    // number of packets, and will know that zero packets means zero
    // entries.
    if (numEnt == 0) {
      numPacketsPerLID_h[i] = 0;
      continue;
    }

    if (this->isLocallyIndexed()) {
      typename global_inds_host_view_type::non_const_type gidsIn;
      values_host_view_type valsIn;
      // If the matrix is locally indexed on the calling process, we
      // have to use its column Map (which it _must_ have in this
      // case) to convert to global indices.
      local_inds_host_view_type lidsIn;
      this->getLocalRowView(lclRow, lidsIn, valsIn);
      const map_type& colMap = *(this->getColMap());
      for (size_t k = 0; k < numEnt; ++k) {
        gidsIn_k[k] = colMap.getGlobalElement(lidsIn[k]);
      }
      gidsIn = Kokkos::subview(gidsIn_k, Kokkos::make_pair(GO(0), GO(numEnt)));

      const size_t numBytesPerValue =
          PackTraits<ST>::packValueCount(valsIn[0]);
      numBytes = this->packRow(exports_h.data(), offset, numEnt,
                               gidsIn.data(), valsIn.data(),
                               numBytesPerValue);
    } else if (this->isGloballyIndexed()) {
      global_inds_host_view_type gidsIn;
      values_host_view_type valsIn;
      // If the matrix is globally indexed on the calling process,
      // then we can use the column indices directly.  However, we
      // have to get the global row index.  The calling process must
      // have a row Map, since otherwise it shouldn't be participating
      // in packing operations.
      const map_type& rowMap = *(this->getRowMap());
      const GO gblRow        = rowMap.getGlobalElement(lclRow);
      this->getGlobalRowView(gblRow, gidsIn, valsIn);

      const size_t numBytesPerValue =
          PackTraits<ST>::packValueCount(valsIn[0]);
      numBytes = this->packRow(exports_h.data(), offset, numEnt,
                               gidsIn.data(), valsIn.data(),
                               numBytesPerValue);
    }
    // mfh 11 Sep 2017: Currently, if the matrix is neither globally
    // nor locally indexed, then it has no entries.  Therefore,
    // there is nothing to pack.  No worries!

    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(offset > bufSize || offset + numBytes > bufSize, std::logic_error,
                                          "First invalid offset into 'exports' pack buffer at index i = " << i
                                                                                                          << ".  exportLIDs_h[i]: " << exportLIDs_h[i] << ", bufSize: " << bufSize << ", offset: " << offset << ", numBytes: " << numBytes << ".");
    // numPacketsPerLID_h[i] is the number of "packets" in the
    // current local row i.  Packet=char (really "byte") so use the
    // number of bytes of the packed data for that row.
    numPacketsPerLID_h[i] = numBytes;
    offset += numBytes;
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Tpetra::CrsMatrix::packNonStaticNew: After:" << endl
       << *prefix << "  "
       << dualViewStatusToString(exports, "exports")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(exportLIDs, "exportLIDs")
       << endl;
    std::cerr << os.str();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
LocalOrdinal
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    combineGlobalValuesRaw(const LocalOrdinal lclRow,
                           const LocalOrdinal numEnt,
                           const impl_scalar_type vals[],
                           const GlobalOrdinal cols[],
                           const Tpetra::CombineMode combMode,
                           const char* const prefix,
                           const bool debug,
                           const bool verbose) {
  using GO = GlobalOrdinal;

  // mfh 23 Mar 2017: This branch is not thread safe in a debug
  // build, due to use of Teuchos::ArrayView; see #229.
  const GO gblRow = myGraph_->rowMap_->getGlobalElement(lclRow);
  Teuchos::ArrayView<const GO> cols_av(numEnt == 0 ? nullptr : cols, numEnt);
  Teuchos::ArrayView<const Scalar> vals_av(numEnt == 0 ? nullptr : reinterpret_cast<const Scalar*>(vals), numEnt);

  // FIXME (mfh 23 Mar 2017) This is a work-around for less common
  // combine modes.  combineGlobalValues throws on error; it does
  // not return an error code.  Thus, if it returns, it succeeded.
  combineGlobalValues(gblRow, cols_av, vals_av, combMode,
                      prefix, debug, verbose);
  return numEnt;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    combineGlobalValues(
        const GlobalOrdinal globalRowIndex,
        const Teuchos::ArrayView<const GlobalOrdinal>& columnIndices,
        const Teuchos::ArrayView<const Scalar>& values,
        const Tpetra::CombineMode combineMode,
        const char* const prefix,
        const bool debug,
        const bool verbose) {
  const char tfecfFuncName[] = "combineGlobalValues: ";

  if (isStaticGraph()) {
    // INSERT doesn't make sense for a static graph, since you
    // aren't allowed to change the structure of the graph.
    // However, all the other combine modes work.
    if (combineMode == ADD) {
      sumIntoGlobalValues(globalRowIndex, columnIndices, values);
    } else if (combineMode == REPLACE) {
      replaceGlobalValues(globalRowIndex, columnIndices, values);
    } else if (combineMode == ABSMAX) {
      using ::Tpetra::Details::AbsMax;
      AbsMax<Scalar> f;
      this->template transformGlobalValues<AbsMax<Scalar>>(globalRowIndex,
                                                           columnIndices,
                                                           values, f);
    } else if (combineMode == INSERT) {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(isStaticGraph() && combineMode == INSERT,
                                            std::invalid_argument,
                                            "INSERT combine mode is forbidden "
                                            "if the matrix has a static (const) graph (i.e., was "
                                            "constructed with the CrsMatrix constructor that takes a "
                                            "const CrsGraph pointer).");
    } else {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::logic_error,
                                            "Invalid combine mode; should "
                                            "never get here!  "
                                            "Please report this bug to the Tpetra developers.");
    }
  } else {  // The matrix has a dynamic graph.
    if (combineMode == ADD || combineMode == INSERT) {
      // For a dynamic graph, all incoming column indices are
      // inserted into the target graph.  Duplicate indices will
      // have their values summed.  In this context, ADD and INSERT
      // are equivalent.  We need to call insertGlobalValues()
      // anyway if the column indices don't yet exist in this row,
      // so we just call insertGlobalValues() for both cases.
      insertGlobalValuesFilteredChecked(globalRowIndex,
                                        columnIndices, values, prefix, debug, verbose);
    }
    // FIXME (mfh 14 Mar 2012):
    //
    // Implementing ABSMAX or REPLACE for a dynamic graph would
    // require modifying assembly to attach a possibly different
    // combine mode to each inserted (i, j, A_ij) entry.  For
    // example, consider two different Export operations to the same
    // target CrsMatrix, the first with ABSMAX combine mode and the
    // second with REPLACE.  This isn't a common use case, so we
    // won't mess with it for now.
    else if (combineMode == ABSMAX) {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
          !isStaticGraph() && combineMode == ABSMAX, std::logic_error,
          "ABSMAX combine mode when the matrix has a dynamic graph is not yet "
          "implemented.");
    } else if (combineMode == REPLACE) {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
          !isStaticGraph() && combineMode == REPLACE, std::logic_error,
          "REPLACE combine mode when the matrix has a dynamic graph is not yet "
          "implemented.");
    } else {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(
          true, std::logic_error,
          "Should never get here!  Please report this "
          "bug to the Tpetra developers.");
    }
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    unpackAndCombine(const Kokkos::DualView<const local_ordinal_type*, buffer_device_type>& importLIDs,
                     Kokkos::DualView<char*, buffer_device_type> imports,
                     Kokkos::DualView<size_t*, buffer_device_type> numPacketsPerLID,
                     const size_t constantNumPackets,
                     const CombineMode combineMode) {
  using Details::Behavior;
  using Details::dualViewStatusToString;
  using Details::ProfilingRegion;
  using std::endl;
  const char tfecfFuncName[] = "unpackAndCombine: ";
  ProfilingRegion regionUAC("Tpetra::CrsMatrix::unpackAndCombine");

  const bool debug            = Behavior::debug("CrsMatrix");
  const bool verbose          = Behavior::verbose("CrsMatrix");
  constexpr int numValidModes = 5;
  const CombineMode validModes[numValidModes] =
      {ADD, REPLACE, ABSMAX, INSERT, ZERO};
  const char* validModeNames[numValidModes] =
      {"ADD", "REPLACE", "ABSMAX", "INSERT", "ZERO"};

  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "unpackAndCombine");
    std::ostringstream os;
    os << *prefix << "Start:" << endl
       << *prefix << "  "
       << dualViewStatusToString(importLIDs, "importLIDs")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(imports, "imports")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(numPacketsPerLID, "numPacketsPerLID")
       << endl
       << *prefix << "  constantNumPackets: " << constantNumPackets
       << endl
       << *prefix << "  combineMode: " << combineModeToString(combineMode)
       << endl;
    std::cerr << os.str();
  }

  if (debug) {
    if (std::find(validModes, validModes + numValidModes, combineMode) ==
        validModes + numValidModes) {
      std::ostringstream os;
      os << "Invalid combine mode.  Valid modes are {";
      for (int k = 0; k < numValidModes; ++k) {
        os << validModeNames[k];
        if (k < numValidModes - 1) {
          os << ", ";
        }
      }
      os << "}.";
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::invalid_argument, os.str());
    }
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(importLIDs.extent(0) != numPacketsPerLID.extent(0),
                                          std::invalid_argument, "importLIDs.extent(0)=" << importLIDs.extent(0) << " != numPacketsPerLID.extent(0)=" << numPacketsPerLID.extent(0) << ".");
  }

  if (combineMode == ZERO) {
    return;  // nothing to do
  }

  if (debug) {
    using Teuchos::reduceAll;
    std::unique_ptr<std::ostringstream> msg(new std::ostringstream());
    int lclBad = 0;
    try {
      unpackAndCombineImpl(importLIDs, imports, numPacketsPerLID,
                           constantNumPackets, combineMode,
                           verbose);
    } catch (std::exception& e) {
      lclBad = 1;
      *msg << e.what();
    }
    int gblBad                     = 0;
    const Teuchos::Comm<int>& comm = *(this->getComm());
    reduceAll<int, int>(comm, Teuchos::REDUCE_MAX,
                        lclBad, Teuchos::outArg(gblBad));
    if (gblBad != 0) {
      // mfh 22 Oct 2017: 'prefix' might be null, since it is only
      // initialized in a debug build.  Thus, we get the process
      // rank again here.  This is an error message, so the small
      // run-time cost doesn't matter.  See #1887.
      std::ostringstream os;
      os << "Proc " << comm.getRank() << ": " << msg->str() << endl;
      msg = std::unique_ptr<std::ostringstream>(new std::ostringstream());
      ::Tpetra::Details::gathervPrint(*msg, os.str(), comm);
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(true, std::logic_error, std::endl
                                                                        << "unpackAndCombineImpl "
                                                                           "threw an exception on one or more participating processes: "
                                                                        << endl
                                                                        << msg->str());
    }
  } else {
    unpackAndCombineImpl(importLIDs, imports, numPacketsPerLID,
                         constantNumPackets, combineMode,
                         verbose);
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Done!" << endl
       << *prefix << "  "
       << dualViewStatusToString(importLIDs, "importLIDs")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(imports, "imports")
       << endl
       << *prefix << "  "
       << dualViewStatusToString(numPacketsPerLID, "numPacketsPerLID")
       << endl;
    std::cerr << os.str();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    unpackAndCombineImpl(
        const Kokkos::DualView<const local_ordinal_type*,
                               buffer_device_type>& importLIDs,
        Kokkos::DualView<char*, buffer_device_type> imports,
        Kokkos::DualView<size_t*, buffer_device_type> numPacketsPerLID,
        const size_t constantNumPackets,
        const CombineMode combineMode,
        const bool verbose) {
  Details::ProfilingRegion region_unpack_and_combine_impl(
      "Tpetra::CrsMatrix::unpackAndCombineImpl",
      "Import/Export");
  using std::endl;
  const char tfecfFuncName[] = "unpackAndCombineImpl";
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", tfecfFuncName);
    std::ostringstream os;
    os << *prefix << "isStaticGraph(): "
       << (isStaticGraph() ? "true" : "false")
       << ", importLIDs.extent(0): "
       << importLIDs.extent(0)
       << ", imports.extent(0): "
       << imports.extent(0)
       << ", numPacketsPerLID.extent(0): "
       << numPacketsPerLID.extent(0)
       << endl;
    std::cerr << os.str();
  }

  if (isStaticGraph()) {
    using Details::unpackCrsMatrixAndCombineNew;
    unpackCrsMatrixAndCombineNew(*this, imports, numPacketsPerLID,
                                 importLIDs, constantNumPackets,
                                 combineMode);
  } else {
    {
      using padding_type = typename crs_graph_type::padding_type;
      std::unique_ptr<padding_type> padding;
      try {
        padding = myGraph_->computePaddingForCrsMatrixUnpack(
            importLIDs, imports, numPacketsPerLID, verbose);
      } catch (std::exception& e) {
        const auto rowMap = getRowMap();
        const auto comm   = rowMap.is_null() ? Teuchos::null : rowMap->getComm();
        const int myRank  = comm.is_null() ? -1 : comm->getRank();
        TEUCHOS_TEST_FOR_EXCEPTION(true, std::runtime_error, "Proc " << myRank << ": "
                                                                                  "Tpetra::CrsGraph::computePaddingForCrsMatrixUnpack "
                                                                                  "threw an exception: "
                                                                     << e.what());
      }
      if (verbose) {
        std::ostringstream os;
        os << *prefix << "Call applyCrsPadding" << endl;
        std::cerr << os.str();
      }
      applyCrsPadding(*padding, verbose);
    }
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Call unpackAndCombineImplNonStatic" << endl;
      std::cerr << os.str();
    }
    unpackAndCombineImplNonStatic(importLIDs, imports,
                                  numPacketsPerLID,
                                  constantNumPackets,
                                  combineMode);
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Done" << endl;
    std::cerr << os.str();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    unpackAndCombineImplNonStatic(
        const Kokkos::DualView<const local_ordinal_type*,
                               buffer_device_type>& importLIDs,
        Kokkos::DualView<char*, buffer_device_type> imports,
        Kokkos::DualView<size_t*, buffer_device_type> numPacketsPerLID,
        const size_t constantNumPackets,
        const CombineMode combineMode) {
  using Details::Behavior;
  using Details::castAwayConstDualView;
  using Details::create_mirror_view_from_raw_host_array;
  using Details::PackTraits;
  using Details::ScalarViewTraits;
  using Kokkos::MemoryUnmanaged;
  using Kokkos::subview;
  using Kokkos::View;
  using std::endl;
  using LO        = LocalOrdinal;
  using GO        = GlobalOrdinal;
  using ST        = impl_scalar_type;
  using size_type = typename Teuchos::ArrayView<LO>::size_type;
  using HES =
      typename View<int*, device_type>::host_mirror_type::execution_space;
  using pair_type            = std::pair<typename View<int*, HES>::size_type,
                              typename View<int*, HES>::size_type>;
  using gids_out_type        = View<GO*, HES, MemoryUnmanaged>;
  using vals_out_type        = View<ST*, HES, MemoryUnmanaged>;
  const char tfecfFuncName[] = "unpackAndCombineImplNonStatic";

  const bool debug   = Behavior::debug("CrsMatrix");
  const bool verbose = Behavior::verbose("CrsMatrix");
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", tfecfFuncName);
    std::ostringstream os;
    os << *prefix << endl;  // we've already printed DualViews' statuses
    std::cerr << os.str();
  }
  const char* const prefix_raw =
      verbose ? prefix.get()->c_str() : nullptr;

  const size_type numImportLIDs = importLIDs.extent(0);
  if (combineMode == ZERO || numImportLIDs == 0) {
    return;  // nothing to do; no need to combine entries
  }

  Details::ProfilingRegion region_unpack_and_combine_impl_non_static(
      "Tpetra::CrsMatrix::unpackAndCombineImplNonStatic",
      "Import/Export");

  // We're unpacking on host.  This is read-only host access.
  if (imports.need_sync_host()) {
    imports.sync_host();
  }
  auto imports_h = imports.view_host();

  // Read-only host access.
  if (numPacketsPerLID.need_sync_host()) {
    numPacketsPerLID.sync_host();
  }
  auto numPacketsPerLID_h = numPacketsPerLID.view_host();

  TEUCHOS_ASSERT(!importLIDs.need_sync_host());
  auto importLIDs_h = importLIDs.view_host();

  size_t numBytesPerValue;
  {
    // FIXME (mfh 17 Feb 2015, tjf 2 Aug 2017) What do I do about Scalar types
    // with run-time size?  We already assume that all entries in both the
    // source and target matrices have the same size.  If the calling process
    // owns at least one entry in either matrix, we can use that entry to set
    // the size.  However, it is possible that the calling process owns no
    // entries.  In that case, we're in trouble.  One way to fix this would be
    // for each row's data to contain the run-time size.  This is only
    // necessary if the size is not a compile-time constant.
    Scalar val;
    numBytesPerValue = PackTraits<ST>::packValueCount(val);
  }

  // Determine the maximum number of entries in any one row
  size_t offset       = 0;
  size_t maxRowNumEnt = 0;
  for (size_type i = 0; i < numImportLIDs; ++i) {
    const size_t numBytes = numPacketsPerLID_h[i];
    if (numBytes == 0) {
      continue;  // empty buffer for that row means that the row is empty
    }
    // We need to unpack a nonzero number of entries for this row.
    if (debug) {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(offset + numBytes > size_t(imports_h.extent(0)),
                                            std::logic_error, ": At local row index importLIDs_h[i=" << i << "]=" << importLIDs_h[i] << ", offset (=" << offset << ") + numBytes (=" << numBytes << ") > "
                                                                                                                                                                                                    "imports_h.extent(0)="
                                                                                                     << imports_h.extent(0) << ".");
    }
    LO numEntLO = 0;

    if (debug) {
      const size_t theNumBytes =
          PackTraits<LO>::packValueCount(numEntLO);
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(theNumBytes > numBytes, std::logic_error, ": theNumBytes=" << theNumBytes << " > numBytes = " << numBytes << ".");
    }
    const char* const inBuf = imports_h.data() + offset;
    const size_t actualNumBytes =
        PackTraits<LO>::unpackValue(numEntLO, inBuf);

    if (debug) {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(actualNumBytes > numBytes, std::logic_error, ": At i=" << i << ", actualNumBytes=" << actualNumBytes << " > numBytes=" << numBytes << ".");
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(numEntLO == 0, std::logic_error,
                                            ": At local row index "
                                            "importLIDs_h[i="
                                                << i << "]=" << importLIDs_h[i] << ", "
                                                                                   "the number of entries read from the packed data is "
                                                                                   "numEntLO="
                                                << numEntLO << ", but numBytes=" << numBytes
                                                << " != 0.");
    }

    maxRowNumEnt = std::max(size_t(numEntLO), maxRowNumEnt);
    offset += numBytes;
  }

  // Temporary space to cache incoming global column indices and
  // values.  Column indices come in as global indices, in case the
  // source object's column Map differs from the target object's
  // (this's) column Map.
  View<GO*, HES> gblColInds;
  View<LO*, HES> lclColInds;
  View<ST*, HES> vals;
  {
    GO gid = 0;
    LO lid = 0;
    // FIXME (mfh 17 Feb 2015, tjf 2 Aug 2017) What do I do about Scalar types
    // with run-time size?  We already assume that all entries in both the
    // source and target matrices have the same size.  If the calling process
    // owns at least one entry in either matrix, we can use that entry to set
    // the size.  However, it is possible that the calling process owns no
    // entries.  In that case, we're in trouble.  One way to fix this would be
    // for each row's data to contain the run-time size.  This is only
    // necessary if the size is not a compile-time constant.
    Scalar val;
    gblColInds = ScalarViewTraits<GO, HES>::allocateArray(
        gid, maxRowNumEnt, "gids");
    lclColInds = ScalarViewTraits<LO, HES>::allocateArray(
        lid, maxRowNumEnt, "lids");
    vals = ScalarViewTraits<ST, HES>::allocateArray(
        val, maxRowNumEnt, "vals");
  }

  offset = 0;
  for (size_type i = 0; i < numImportLIDs; ++i) {
    const size_t numBytes = numPacketsPerLID_h[i];
    if (numBytes == 0) {
      continue;  // empty buffer for that row means that the row is empty
    }
    LO numEntLO             = 0;
    const char* const inBuf = imports_h.data() + offset;
    (void)PackTraits<LO>::unpackValue(numEntLO, inBuf);

    const size_t numEnt = static_cast<size_t>(numEntLO);
    ;
    const LO lclRow = importLIDs_h[i];

    gids_out_type gidsOut = subview(gblColInds, pair_type(0, numEnt));
    vals_out_type valsOut = subview(vals, pair_type(0, numEnt));

    const size_t numBytesOut =
        unpackRow(gidsOut.data(), valsOut.data(), imports_h.data(),
                  offset, numBytes, numEnt, numBytesPerValue);
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(numBytes != numBytesOut, std::logic_error, ": At i=" << i << ", numBytes=" << numBytes << " != numBytesOut=" << numBytesOut << ".");

    const ST* const valsRaw = const_cast<const ST*>(valsOut.data());
    const GO* const gidsRaw = const_cast<const GO*>(gidsOut.data());
    combineGlobalValuesRaw(lclRow, numEnt, valsRaw, gidsRaw,
                           combineMode, prefix_raw, debug, verbose);
    // Don't update offset until current LID has succeeded.
    offset += numBytes;
  }  // for each import LID i

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Done" << endl;
    std::cerr << os.str();
  }
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getColumnMapMultiVector(const MV& X_domainMap,
                            const bool force) const {
  using Teuchos::null;
  using Teuchos::RCP;
  using Teuchos::rcp;

  TEUCHOS_TEST_FOR_EXCEPTION(
      !this->hasColMap(), std::runtime_error,
      "Tpetra::CrsMatrix::getColumn"
      "MapMultiVector: You may only call this method if the matrix has a "
      "column Map.  If the matrix does not yet have a column Map, you should "
      "first call fillComplete (with domain and range Map if necessary).");

  // If the graph is not fill complete, then the Import object (if
  // one should exist) hasn't been constructed yet.
  TEUCHOS_TEST_FOR_EXCEPTION(
      !this->getGraph()->isFillComplete(), std::runtime_error,
      "Tpetra::"
      "CrsMatrix::getColumnMapMultiVector: You may only call this method if "
      "this matrix's graph is fill complete.");

  const size_t numVecs            = X_domainMap.getNumVectors();
  RCP<const import_type> importer = this->getGraph()->getImporter();
  RCP<const map_type> colMap      = this->getColMap();

  RCP<MV> X_colMap;  // null by default

  // If the Import object is trivial (null), then we don't need a
  // separate column Map multivector.  Just return null in that
  // case.  The caller is responsible for knowing not to use the
  // returned null pointer.
  //
  // If the Import is nontrivial, then we do need a separate
  // column Map multivector for the Import operation.  Check in
  // that case if we have to (re)create the column Map
  // multivector.
  if (!importer.is_null() || force) {
    if (importMV_.is_null() || importMV_->getNumVectors() != numVecs) {
      X_colMap = rcp(new MV(colMap, numVecs));

      // Cache the newly created multivector for later reuse.
      importMV_ = X_colMap;
    } else {  // Yay, we can reuse the cached multivector!
      X_colMap = importMV_;
      // mfh 09 Jan 2013: We don't have to fill with zeros first,
      // because the Import uses INSERT combine mode, which overwrites
      // existing entries.
      //
      // X_colMap->putScalar (ZERO);
    }
  }
  return X_colMap;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    getRowMapMultiVector(const MultiVector<Scalar, LocalOrdinal, GlobalOrdinal, Node>& Y_rangeMap,
                         const bool force) const {
  using Teuchos::null;
  using Teuchos::RCP;
  using Teuchos::rcp;

  // If the graph is not fill complete, then the Export object (if
  // one should exist) hasn't been constructed yet.
  TEUCHOS_TEST_FOR_EXCEPTION(
      !this->getGraph()->isFillComplete(), std::runtime_error,
      "Tpetra::"
      "CrsMatrix::getRowMapMultiVector: You may only call this method if this "
      "matrix's graph is fill complete.");

  const size_t numVecs            = Y_rangeMap.getNumVectors();
  RCP<const export_type> exporter = this->getGraph()->getExporter();
  // Every version of the constructor takes either a row Map, or a
  // graph (all of whose constructors take a row Map).  Thus, the
  // matrix always has a row Map.
  RCP<const map_type> rowMap = this->getRowMap();

  RCP<MV> Y_rowMap;  // null by default

  // If the Export object is trivial (null), then we don't need a
  // separate row Map multivector.  Just return null in that case.
  // The caller is responsible for knowing not to use the returned
  // null pointer.
  //
  // If the Export is nontrivial, then we do need a separate row
  // Map multivector for the Export operation.  Check in that case
  // if we have to (re)create the row Map multivector.
  if (!exporter.is_null() || force) {
    if (exportMV_.is_null() || exportMV_->getNumVectors() != numVecs) {
      Y_rowMap  = rcp(new MV(rowMap, numVecs));
      exportMV_ = Y_rowMap;  // Cache the newly created MV for later reuse.
    } else {                 // Yay, we can reuse the cached multivector!
      Y_rowMap = exportMV_;
    }
  }
  return Y_rowMap;
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    removeEmptyProcessesInPlace(const Teuchos::RCP<const map_type>& newMap) {
  TEUCHOS_TEST_FOR_EXCEPTION(
      myGraph_.is_null(), std::logic_error,
      "Tpetra::CrsMatrix::"
      "removeEmptyProcessesInPlace: This method does not work when the matrix "
      "was created with a constant graph (that is, when it was created using "
      "the version of its constructor that takes an RCP<const CrsGraph>).  "
      "This is because the matrix is not allowed to modify the graph in that "
      "case, but removing empty processes requires modifying the graph.");
  myGraph_->removeEmptyProcessesInPlace(newMap);
  // Even though CrsMatrix's row Map (as returned by getRowMap())
  // comes from its CrsGraph, CrsMatrix still implements DistObject,
  // so we also have to change the DistObject's Map.
  this->map_ = this->getRowMap();
  // In the nonconst graph case, staticGraph_ is just a const
  // pointer to myGraph_.  This assignment is probably redundant,
  // but it doesn't hurt.
  staticGraph_ = Teuchos::rcp_const_cast<const Graph>(myGraph_);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
Teuchos::RCP<RowMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>>
CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    add(const Scalar& alpha,
        const RowMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>& A,
        const Scalar& beta,
        const Teuchos::RCP<const map_type>& domainMap,
        const Teuchos::RCP<const map_type>& rangeMap,
        const Teuchos::RCP<Teuchos::ParameterList>& params) const {
  using std::endl;
  using Teuchos::Array;
  using Teuchos::ArrayView;
  using Teuchos::ParameterList;
  using Teuchos::RCP;
  using Teuchos::rcp;
  using Teuchos::rcp_implicit_cast;
  using Teuchos::sublist;
  using LO = local_ordinal_type;
  using GO = global_ordinal_type;
  using crs_matrix_type =
      CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>;
  const char errPfx[] = "Tpetra::CrsMatrix::add: ";

  const bool debug   = Details::Behavior::debug("CrsMatrix");
  const bool verbose = Details::Behavior::verbose("CrsMatrix");
  std::unique_ptr<std::string> prefix;
  if (verbose) {
    prefix = this->createPrefix("CrsMatrix", "add");
    std::ostringstream os;
    os << *prefix << "Start" << endl;
    std::cerr << os.str();
  }

  const crs_matrix_type& B = *this;  // a convenient abbreviation
  const Scalar ZERO        = Teuchos::ScalarTraits<Scalar>::zero();
  const Scalar ONE         = Teuchos::ScalarTraits<Scalar>::one();

  // If the user didn't supply a domain or range Map, then try to
  // get one from B first (if it has them), then from A (if it has
  // them).  If we don't have any domain or range Maps, scold the
  // user.
  RCP<const map_type> A_domainMap = A.getDomainMap();
  RCP<const map_type> A_rangeMap  = A.getRangeMap();
  RCP<const map_type> B_domainMap = B.getDomainMap();
  RCP<const map_type> B_rangeMap  = B.getRangeMap();

  RCP<const map_type> theDomainMap = domainMap;
  RCP<const map_type> theRangeMap  = rangeMap;

  if (domainMap.is_null()) {
    if (B_domainMap.is_null()) {
      TEUCHOS_TEST_FOR_EXCEPTION(
          A_domainMap.is_null(), std::invalid_argument,
          "Tpetra::CrsMatrix::add: If neither A nor B have a domain Map, "
          "then you must supply a nonnull domain Map to this method.");
      theDomainMap = A_domainMap;
    } else {
      theDomainMap = B_domainMap;
    }
  }
  if (rangeMap.is_null()) {
    if (B_rangeMap.is_null()) {
      TEUCHOS_TEST_FOR_EXCEPTION(
          A_rangeMap.is_null(), std::invalid_argument,
          "Tpetra::CrsMatrix::add: If neither A nor B have a range Map, "
          "then you must supply a nonnull range Map to this method.");
      theRangeMap = A_rangeMap;
    } else {
      theRangeMap = B_rangeMap;
    }
  }

  if (debug) {
    // In debug mode, check that A and B have matching domain and
    // range Maps, if they have domain and range Maps at all.  (If
    // they aren't fill complete, then they may not yet have them.)
    if (!A_domainMap.is_null() && !A_rangeMap.is_null()) {
      if (!B_domainMap.is_null() && !B_rangeMap.is_null()) {
        TEUCHOS_TEST_FOR_EXCEPTION(!B_domainMap->isSameAs(*A_domainMap),
                                   std::invalid_argument,
                                   errPfx << "The input RowMatrix A must have a domain Map "
                                             "which is the same as (isSameAs) this RowMatrix's "
                                             "domain Map.");
        TEUCHOS_TEST_FOR_EXCEPTION(!B_rangeMap->isSameAs(*A_rangeMap), std::invalid_argument,
                                   errPfx << "The input RowMatrix A must have a range Map "
                                             "which is the same as (isSameAs) this RowMatrix's range "
                                             "Map.");
        TEUCHOS_TEST_FOR_EXCEPTION(!domainMap.is_null() &&
                                       !domainMap->isSameAs(*B_domainMap),
                                   std::invalid_argument,
                                   errPfx << "The input domain Map must be the same as "
                                             "(isSameAs) this RowMatrix's domain Map.");
        TEUCHOS_TEST_FOR_EXCEPTION(!rangeMap.is_null() &&
                                       !rangeMap->isSameAs(*B_rangeMap),
                                   std::invalid_argument,
                                   errPfx << "The input range Map must be the same as "
                                             "(isSameAs) this RowMatrix's range Map.");
      }
    } else if (!B_domainMap.is_null() && !B_rangeMap.is_null()) {
      TEUCHOS_TEST_FOR_EXCEPTION(!domainMap.is_null() &&
                                     !domainMap->isSameAs(*B_domainMap),
                                 std::invalid_argument,
                                 errPfx << "The input domain Map must be the same as "
                                           "(isSameAs) this RowMatrix's domain Map.");
      TEUCHOS_TEST_FOR_EXCEPTION(!rangeMap.is_null() && !rangeMap->isSameAs(*B_rangeMap),
                                 std::invalid_argument,
                                 errPfx << "The input range Map must be the same as "
                                           "(isSameAs) this RowMatrix's range Map.");
    } else {
      TEUCHOS_TEST_FOR_EXCEPTION(domainMap.is_null() || rangeMap.is_null(),
                                 std::invalid_argument, errPfx << "If neither A nor B "
                                                                  "have a domain and range Map, then you must supply a "
                                                                  "nonnull domain and range Map to this method.");
    }
  }

  // What parameters do we pass to C's constructor?  Do we call
  // fillComplete on C after filling it?  And if so, what parameters
  // do we pass to C's fillComplete call?
  bool callFillComplete = true;
  RCP<ParameterList> constructorSublist;
  RCP<ParameterList> fillCompleteSublist;
  if (!params.is_null()) {
    callFillComplete =
        params->get("Call fillComplete", callFillComplete);
    constructorSublist  = sublist(params, "Constructor parameters");
    fillCompleteSublist = sublist(params, "fillComplete parameters");
  }

  RCP<const map_type> A_rowMap = A.getRowMap();
  RCP<const map_type> B_rowMap = B.getRowMap();
  RCP<const map_type> C_rowMap = B_rowMap;  // see discussion in documentation
  RCP<crs_matrix_type> C;                   // The result matrix.

  // If A and B's row Maps are the same, we can compute an upper
  // bound on the number of entries in each row of C, before
  // actually computing the sum.  A reasonable upper bound is the
  // sum of the two entry counts in each row.
  if (A_rowMap->isSameAs(*B_rowMap)) {
    const LO localNumRows = static_cast<LO>(A_rowMap->getLocalNumElements());
    Array<size_t> C_maxNumEntriesPerRow(localNumRows, 0);

    // Get the number of entries in each row of A.
    if (alpha != ZERO) {
      for (LO localRow = 0; localRow < localNumRows; ++localRow) {
        const size_t A_numEntries = A.getNumEntriesInLocalRow(localRow);
        C_maxNumEntriesPerRow[localRow] += A_numEntries;
      }
    }
    // Get the number of entries in each row of B.
    if (beta != ZERO) {
      for (LO localRow = 0; localRow < localNumRows; ++localRow) {
        const size_t B_numEntries = B.getNumEntriesInLocalRow(localRow);
        C_maxNumEntriesPerRow[localRow] += B_numEntries;
      }
    }
    // Construct the result matrix C.
    if (constructorSublist.is_null()) {
      C = rcp(new crs_matrix_type(C_rowMap, C_maxNumEntriesPerRow()));
    } else {
      C = rcp(new crs_matrix_type(C_rowMap, C_maxNumEntriesPerRow(),
                                  constructorSublist));
    }
    // Since A and B have the same row Maps, we could add them
    // together all at once and merge values before we call
    // insertGlobalValues.  However, we don't really need to, since
    // we've already allocated enough space in each row of C for C
    // to do the merge itself.
  } else {  // the row Maps of A and B are not the same
    // Construct the result matrix C.
    // true: !A_rowMap->isSameAs (*B_rowMap)
    TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, errPfx << "The row maps must "
                                                                      "be the same for statically allocated matrices, to ensure "
                                                                      "that there is sufficient space to do the addition.");
  }

  TEUCHOS_TEST_FOR_EXCEPTION(C.is_null(), std::logic_error,
                             errPfx << "C should not be null at this point.  "
                                       "Please report this bug to the Tpetra developers.");

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Compute C = alpha*A + beta*B" << endl;
    std::cerr << os.str();
  }
  using gids_type = nonconst_global_inds_host_view_type;
  using vals_type = nonconst_values_host_view_type;
  gids_type ind;
  vals_type val;

  if (alpha != ZERO) {
    const LO A_localNumRows = static_cast<LO>(A_rowMap->getLocalNumElements());
    for (LO localRow = 0; localRow < A_localNumRows; ++localRow) {
      size_t A_numEntries = A.getNumEntriesInLocalRow(localRow);
      const GO globalRow  = A_rowMap->getGlobalElement(localRow);
      if (A_numEntries > static_cast<size_t>(ind.size())) {
        Kokkos::resize(ind, A_numEntries);
        Kokkos::resize(val, A_numEntries);
      }
      gids_type indView = Kokkos::subview(ind, std::make_pair((size_t)0, A_numEntries));
      vals_type valView = Kokkos::subview(val, std::make_pair((size_t)0, A_numEntries));
      A.getGlobalRowCopy(globalRow, indView, valView, A_numEntries);

      if (alpha != ONE) {
        for (size_t k = 0; k < A_numEntries; ++k) {
          valView[k] *= alpha;
        }
      }
      C->insertGlobalValues(globalRow, A_numEntries,
                            reinterpret_cast<Scalar*>(valView.data()),
                            indView.data());
    }
  }

  if (beta != ZERO) {
    const LO B_localNumRows = static_cast<LO>(B_rowMap->getLocalNumElements());
    for (LO localRow = 0; localRow < B_localNumRows; ++localRow) {
      size_t B_numEntries = B.getNumEntriesInLocalRow(localRow);
      const GO globalRow  = B_rowMap->getGlobalElement(localRow);
      if (B_numEntries > static_cast<size_t>(ind.size())) {
        Kokkos::resize(ind, B_numEntries);
        Kokkos::resize(val, B_numEntries);
      }
      gids_type indView = Kokkos::subview(ind, std::make_pair((size_t)0, B_numEntries));
      vals_type valView = Kokkos::subview(val, std::make_pair((size_t)0, B_numEntries));
      B.getGlobalRowCopy(globalRow, indView, valView, B_numEntries);

      if (beta != ONE) {
        for (size_t k = 0; k < B_numEntries; ++k) {
          valView[k] *= beta;
        }
      }
      C->insertGlobalValues(globalRow, B_numEntries,
                            reinterpret_cast<Scalar*>(valView.data()),
                            indView.data());
    }
  }

  if (callFillComplete) {
    if (verbose) {
      std::ostringstream os;
      os << *prefix << "Call fillComplete on C" << endl;
      std::cerr << os.str();
    }
    if (fillCompleteSublist.is_null()) {
      C->fillComplete(theDomainMap, theRangeMap);
    } else {
      C->fillComplete(theDomainMap, theRangeMap, fillCompleteSublist);
    }
  } else if (verbose) {
    std::ostringstream os;
    os << *prefix << "Do NOT call fillComplete on C" << endl;
    std::cerr << os.str();
  }

  if (verbose) {
    std::ostringstream os;
    os << *prefix << "Done" << endl;
    std::cerr << os.str();
  }
  return rcp_implicit_cast<row_matrix_type>(C);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    transferAndFillComplete(Teuchos::RCP<CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>>& destMat,
                            const ::Tpetra::Details::Transfer<LocalOrdinal, GlobalOrdinal, Node>& rowTransfer,
                            const Teuchos::RCP<const ::Tpetra::Details::Transfer<LocalOrdinal, GlobalOrdinal, Node>>& domainTransfer,
                            const Teuchos::RCP<const map_type>& domainMap,
                            const Teuchos::RCP<const map_type>& rangeMap,
                            const Teuchos::RCP<Teuchos::ParameterList>& params) const {
  using Details::Behavior;
  using Details::getArrayViewFromDualView;
  using Details::packCrsMatrixWithOwningPIDs;
  using Details::unpackAndCombineIntoCrsArrays;
  using Details::unpackAndCombineWithOwningPIDsCount;
  using std::endl;
  using Teuchos::ArrayRCP;
  using Teuchos::ArrayView;
  using Teuchos::Comm;
  using Teuchos::ParameterList;
  using Teuchos::RCP;
  typedef LocalOrdinal LO;
  typedef GlobalOrdinal GO;
  typedef node_type NT;
  typedef CrsMatrix<Scalar, LO, GO, NT> this_CRS_type;
  typedef Vector<int, LO, GO, NT> IntVectorType;
  using Teuchos::as;

  const bool debug   = Behavior::debug("CrsMatrix");
  const bool verbose = Behavior::verbose("CrsMatrix");
  int MyPID          = getComm()->getRank();

  std::unique_ptr<std::string> verbosePrefix;
  if (verbose) {
    verbosePrefix =
        this->createPrefix("CrsMatrix", "transferAndFillComplete");
    std::ostringstream os;
    os << "Start" << endl;
    std::cerr << os.str();
  }

  //
  // Get the caller's parameters
  //
  bool isMM         = false;  // optimize for matrix-matrix ops.
  bool reverseMode  = false;  // Are we in reverse mode?
  bool restrictComm = false;  // Do we need to restrict the communicator?

  int mm_optimization_core_count =
      Behavior::TAFC_OptimizationCoreCount();
  RCP<ParameterList> matrixparams;  // parameters for the destination matrix
  bool overrideAllreduce = false;
  bool useKokkosPath     = false;
  if (!params.is_null()) {
    matrixparams               = sublist(params, "CrsMatrix");
    reverseMode                = params->get("Reverse Mode", reverseMode);
    useKokkosPath              = params->get("TAFC: use kokkos path", useKokkosPath);
    restrictComm               = params->get("Restrict Communicator", restrictComm);
    auto& slist                = params->sublist("matrixmatrix: kernel params", false);
    isMM                       = slist.get("isMatrixMatrix_TransferAndFillComplete", false);
    mm_optimization_core_count = slist.get("MM_TAFC_OptimizationCoreCount", mm_optimization_core_count);

    overrideAllreduce = slist.get("MM_TAFC_OverrideAllreduceCheck", false);
    if (getComm()->getSize() < mm_optimization_core_count && isMM) isMM = false;
    if (reverseMode) isMM = false;
  }

  // Only used in the sparse matrix-matrix multiply (isMM) case.
  std::shared_ptr<::Tpetra::Details::CommRequest> iallreduceRequest;
  int mismatch         = 0;
  int reduced_mismatch = 0;
  if (isMM && !overrideAllreduce) {
    // Test for pathological matrix transfer
    const bool source_vals = !getGraph()->getImporter().is_null();
    const bool target_vals = !(rowTransfer.getExportLIDs().size() == 0 ||
                               rowTransfer.getRemoteLIDs().size() == 0);
    mismatch               = (source_vals != target_vals) ? 1 : 0;
    iallreduceRequest =
        ::Tpetra::Details::iallreduce(mismatch, reduced_mismatch,
                                      Teuchos::REDUCE_MAX, *(getComm()));
  }

#ifdef HAVE_TPETRA_MMM_TIMINGS
  using Teuchos::TimeMonitor;
  std::string label;
  if (!params.is_null())
    label = params->get("Timer Label", label);
  std::string prefix = std::string("Tpetra ") + label + std::string(": ");
  std::string tlstr;
  {
    std::ostringstream os;
    if (isMM)
      os << ":MMOpt";
    else
      os << ":MMLegacy";
    tlstr = os.str();
  }

  Teuchos::TimeMonitor MMall(*TimeMonitor::getNewTimer(prefix + std::string("TAFC All") + tlstr));
#endif

  // Make sure that the input argument rowTransfer is either an
  // Import or an Export.  Import and Export are the only two
  // subclasses of Transfer that we defined, but users might
  // (unwisely, for now at least) decide to implement their own
  // subclasses.  Exclude this possibility.
  const import_type* xferAsImport = dynamic_cast<const import_type*>(&rowTransfer);
  const export_type* xferAsExport = dynamic_cast<const export_type*>(&rowTransfer);
  TEUCHOS_TEST_FOR_EXCEPTION(
      xferAsImport == nullptr && xferAsExport == nullptr, std::invalid_argument,
      "Tpetra::CrsMatrix::transferAndFillComplete: The 'rowTransfer' input "
      "argument must be either an Import or an Export, and its template "
      "parameters must match the corresponding template parameters of the "
      "CrsMatrix.");

  // Make sure that the input argument domainTransfer is either an
  // Import or an Export.  Import and Export are the only two
  // subclasses of Transfer that we defined, but users might
  // (unwisely, for now at least) decide to implement their own
  // subclasses.  Exclude this possibility.
  Teuchos::RCP<const import_type> xferDomainAsImport = Teuchos::rcp_dynamic_cast<const import_type>(domainTransfer);
  Teuchos::RCP<const export_type> xferDomainAsExport = Teuchos::rcp_dynamic_cast<const export_type>(domainTransfer);

  if (!domainTransfer.is_null()) {
    TEUCHOS_TEST_FOR_EXCEPTION(
        (xferDomainAsImport.is_null() && xferDomainAsExport.is_null()), std::invalid_argument,
        "Tpetra::CrsMatrix::transferAndFillComplete: The 'domainTransfer' input "
        "argument must be either an Import or an Export, and its template "
        "parameters must match the corresponding template parameters of the "
        "CrsMatrix.");

    TEUCHOS_TEST_FOR_EXCEPTION(
        (xferAsImport != nullptr || !xferDomainAsImport.is_null()) &&
            ((xferAsImport != nullptr && xferDomainAsImport.is_null()) ||
             (xferAsImport == nullptr && !xferDomainAsImport.is_null())),
        std::invalid_argument,
        "Tpetra::CrsMatrix::transferAndFillComplete: The 'rowTransfer' and 'domainTransfer' input "
        "arguments must be of the same type (either Import or Export).");

    TEUCHOS_TEST_FOR_EXCEPTION(
        (xferAsExport != nullptr || !xferDomainAsExport.is_null()) &&
            ((xferAsExport != nullptr && xferDomainAsExport.is_null()) ||
             (xferAsExport == nullptr && !xferDomainAsExport.is_null())),
        std::invalid_argument,
        "Tpetra::CrsMatrix::transferAndFillComplete: The 'rowTransfer' and 'domainTransfer' input "
        "arguments must be of the same type (either Import or Export).");
  }  // domainTransfer != null

  // FIXME (mfh 15 May 2014) Wouldn't communication still be needed,
  // if the source Map is not distributed but the target Map is?
  const bool communication_needed = rowTransfer.getSourceMap()->isDistributed();

  // Get the new domain and range Maps.  We need some of them for
  // error checking, now that we have the reverseMode parameter.
  RCP<const map_type> MyRowMap = reverseMode ? rowTransfer.getSourceMap() : rowTransfer.getTargetMap();
  RCP<const map_type> MyColMap;  // create this below
  RCP<const map_type> MyDomainMap   = !domainMap.is_null() ? domainMap : getDomainMap();
  RCP<const map_type> MyRangeMap    = !rangeMap.is_null() ? rangeMap : getRangeMap();
  RCP<const map_type> BaseRowMap    = MyRowMap;
  RCP<const map_type> BaseDomainMap = MyDomainMap;

  // If the user gave us a nonnull destMat, then check whether it's
  // "pristine."  That means that it has no entries.
  //
  // FIXME (mfh 15 May 2014) If this is not true on all processes,
  // then this exception test may hang.  It would be better to
  // forward an error flag to the next communication phase.
  if (!destMat.is_null()) {
    // FIXME (mfh 15 May 2014): The Epetra idiom for checking
    // whether a graph or matrix has no entries on the calling
    // process, is that it is neither locally nor globally indexed.
    // This may change eventually with the Kokkos refactor version
    // of Tpetra, so it would be better just to check the quantity
    // of interest directly.  Note that with the Kokkos refactor
    // version of Tpetra, asking for the total number of entries in
    // a graph or matrix that is not fill complete might require
    // computation (kernel launch), since it is not thread scalable
    // to update a count every time an entry is inserted.
    const bool NewFlag = !destMat->getGraph()->isLocallyIndexed() &&
                         !destMat->getGraph()->isGloballyIndexed();
    TEUCHOS_TEST_FOR_EXCEPTION(
        !NewFlag, std::invalid_argument,
        "Tpetra::CrsMatrix::"
        "transferAndFillComplete: The input argument 'destMat' is only allowed "
        "to be nonnull, if its graph is empty (neither locally nor globally "
        "indexed).");
    // FIXME (mfh 15 May 2014) At some point, we want to change
    // graphs and matrices so that their DistObject Map
    // (this->getMap()) may differ from their row Map.  This will
    // make redistribution for 2-D distributions more efficient.  I
    // hesitate to change this check, because I'm not sure how much
    // the code here depends on getMap() and getRowMap() being the
    // same.
    TEUCHOS_TEST_FOR_EXCEPTION(
        !destMat->getRowMap()->isSameAs(*MyRowMap), std::invalid_argument,
        "Tpetra::CrsMatrix::transferAndFillComplete: The (row) Map of the "
        "input argument 'destMat' is not the same as the (row) Map specified "
        "by the input argument 'rowTransfer'.");
    TEUCHOS_TEST_FOR_EXCEPTION(
        !destMat->checkSizes(*this), std::invalid_argument,
        "Tpetra::CrsMatrix::transferAndFillComplete: You provided a nonnull "
        "destination matrix, but checkSizes() indicates that it is not a legal "
        "legal target for redistribution from the source matrix (*this).  This "
        "may mean that they do not have the same dimensions.");
  }

  // If forward mode (the default), then *this's (row) Map must be
  // the same as the source Map of the Transfer.  If reverse mode,
  // then *this's (row) Map must be the same as the target Map of
  // the Transfer.
  //
  // FIXME (mfh 15 May 2014) At some point, we want to change graphs
  // and matrices so that their DistObject Map (this->getMap()) may
  // differ from their row Map.  This will make redistribution for
  // 2-D distributions more efficient.  I hesitate to change this
  // check, because I'm not sure how much the code here depends on
  // getMap() and getRowMap() being the same.
  TEUCHOS_TEST_FOR_EXCEPTION(
      !(reverseMode || getRowMap()->isSameAs(*rowTransfer.getSourceMap())),
      std::invalid_argument,
      "Tpetra::CrsMatrix::transferAndFillComplete: "
      "rowTransfer->getSourceMap() must match this->getRowMap() in forward mode.");
  TEUCHOS_TEST_FOR_EXCEPTION(
      !(!reverseMode || getRowMap()->isSameAs(*rowTransfer.getTargetMap())),
      std::invalid_argument,
      "Tpetra::CrsMatrix::transferAndFillComplete: "
      "rowTransfer->getTargetMap() must match this->getRowMap() in reverse mode.");

  // checks for domainTransfer
  TEUCHOS_TEST_FOR_EXCEPTION(
      !xferDomainAsImport.is_null() && !xferDomainAsImport->getTargetMap()->isSameAs(*domainMap),
      std::invalid_argument,
      "Tpetra::CrsMatrix::transferAndFillComplete: The target map of the 'domainTransfer' input "
      "argument must be the same as the rebalanced domain map 'domainMap'");

  TEUCHOS_TEST_FOR_EXCEPTION(
      !xferDomainAsExport.is_null() && !xferDomainAsExport->getSourceMap()->isSameAs(*domainMap),
      std::invalid_argument,
      "Tpetra::CrsMatrix::transferAndFillComplete: The source map of the 'domainTransfer' input "
      "argument must be the same as the rebalanced domain map 'domainMap'");

  // The basic algorithm here is:
  //
  // 1. Call the moral equivalent of "Distor.do" to handle the import.
  // 2. Copy all the Imported and Copy/Permuted data into the raw
  //    CrsMatrix / CrsGraphData pointers, still using GIDs.
  // 3. Call an optimized version of MakeColMap that avoids the
  //    Directory lookups (since the importer knows who owns all the
  //    GIDs) AND reindexes to LIDs.
  // 4. Call expertStaticFillComplete()

  // Get information from the Importer
  const size_t NumSameIDs        = rowTransfer.getNumSameIDs();
  ArrayView<const LO> ExportLIDs = reverseMode ? rowTransfer.getRemoteLIDs() : rowTransfer.getExportLIDs();
  auto RemoteLIDs                = reverseMode ? rowTransfer.getExportLIDs_dv() : rowTransfer.getRemoteLIDs_dv();
  auto PermuteToLIDs             = reverseMode ? rowTransfer.getPermuteFromLIDs_dv() : rowTransfer.getPermuteToLIDs_dv();
  auto PermuteFromLIDs           = reverseMode ? rowTransfer.getPermuteToLIDs_dv() : rowTransfer.getPermuteFromLIDs_dv();
  Distributor& Distor            = rowTransfer.getDistributor();

  // Owning PIDs
  Teuchos::Array<int> SourcePids;

  // Temp variables for sub-communicators
  RCP<const map_type> ReducedRowMap, ReducedColMap,
      ReducedDomainMap, ReducedRangeMap;
  RCP<const Comm<int>> ReducedComm;

  // If the user gave us a null destMat, then construct the new
  // destination matrix.  We will replace its column Map later.
  if (destMat.is_null()) {
    destMat = rcp(new this_CRS_type(MyRowMap, 0, matrixparams));
  }

  /***************************************************/
  /***** 1) First communicator restriction phase ****/
  /***************************************************/
  if (restrictComm) {
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC restrictComm")));
#endif
    ReducedRowMap = MyRowMap->removeEmptyProcesses();
    ReducedComm   = ReducedRowMap.is_null() ? Teuchos::null : ReducedRowMap->getComm();
    destMat->removeEmptyProcessesInPlace(ReducedRowMap);

    ReducedDomainMap = MyRowMap.getRawPtr() == MyDomainMap.getRawPtr() ? ReducedRowMap : MyDomainMap->replaceCommWithSubset(ReducedComm);
    ReducedRangeMap  = MyRowMap.getRawPtr() == MyRangeMap.getRawPtr() ? ReducedRowMap : MyRangeMap->replaceCommWithSubset(ReducedComm);

    // Reset the "my" maps
    MyRowMap    = ReducedRowMap;
    MyDomainMap = ReducedDomainMap;
    MyRangeMap  = ReducedRangeMap;

    // Update my PID, if we've restricted the communicator
    if (!ReducedComm.is_null()) {
      MyPID = ReducedComm->getRank();
    } else {
      MyPID = -2;  // For debugging
    }
  } else {
    ReducedComm = MyRowMap->getComm();
  }

  /***************************************************/
  /***** 2) From Tpetra::DistObject::doTransfer() ****/
  /***************************************************/
  // Get the owning PIDs
  RCP<const import_type> MyImporter = getGraph()->getImporter();

  // check whether domain maps of source matrix and base domain map is the same
  bool bSameDomainMap = BaseDomainMap->isSameAs(*getDomainMap());

  if (!restrictComm && !MyImporter.is_null() && bSameDomainMap) {
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC getOwningPIDs same map")));
#endif
    // Same domain map as source matrix
    //
    // NOTE: This won't work for restrictComm (because the Import
    // doesn't know the restricted PIDs), though writing an
    // optimized version for that case would be easy (Import an
    // IntVector of the new PIDs).  Might want to add this later.
    Import_Util::getPids(*MyImporter, SourcePids, false);
  } else if (restrictComm && !MyImporter.is_null() && bSameDomainMap) {
    // Same domain map as source matrix (restricted communicator)
    // We need one import from the domain to the column map
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC getOwningPIDs restricted comm")));
#endif
    IntVectorType SourceDomain_pids(getDomainMap(), true);
    IntVectorType SourceCol_pids(getColMap());
    // SourceDomain_pids contains the restricted pids
    SourceDomain_pids.putScalar(MyPID);

    SourceCol_pids.doImport(SourceDomain_pids, *MyImporter, INSERT);
    SourcePids.resize(getColMap()->getLocalNumElements());
    SourceCol_pids.get1dCopy(SourcePids());
  } else if (MyImporter.is_null()) {
    // Matrix has no off-process entries
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC getOwningPIDs all local entries")));
#endif
    SourcePids.resize(getColMap()->getLocalNumElements());
    SourcePids.assign(getColMap()->getLocalNumElements(), MyPID);
  } else if (!MyImporter.is_null() &&
             !domainTransfer.is_null()) {
    // general implementation for rectangular matrices with
    // domain map different than SourceMatrix domain map.
    // User has to provide a DomainTransfer object. We need
    // to communications (import/export)
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC getOwningPIDs rectangular case")));
#endif

    // TargetDomain_pids lives on the rebalanced new domain map
    IntVectorType TargetDomain_pids(domainMap);
    TargetDomain_pids.putScalar(MyPID);

    // SourceDomain_pids lives on the non-rebalanced old domain map
    IntVectorType SourceDomain_pids(getDomainMap());

    // SourceCol_pids lives on the non-rebalanced old column map
    IntVectorType SourceCol_pids(getColMap());

    if (!reverseMode && !xferDomainAsImport.is_null()) {
      SourceDomain_pids.doExport(TargetDomain_pids, *xferDomainAsImport, INSERT);
    } else if (reverseMode && !xferDomainAsExport.is_null()) {
      SourceDomain_pids.doExport(TargetDomain_pids, *xferDomainAsExport, INSERT);
    } else if (!reverseMode && !xferDomainAsExport.is_null()) {
      SourceDomain_pids.doImport(TargetDomain_pids, *xferDomainAsExport, INSERT);
    } else if (reverseMode && !xferDomainAsImport.is_null()) {
      SourceDomain_pids.doImport(TargetDomain_pids, *xferDomainAsImport, INSERT);
    } else {
      TEUCHOS_TEST_FOR_EXCEPTION(
          true, std::logic_error,
          "Tpetra::CrsMatrix::"
          "transferAndFillComplete: Should never get here!  "
          "Please report this bug to a Tpetra developer.");
    }
    SourceCol_pids.doImport(SourceDomain_pids, *MyImporter, INSERT);
    SourcePids.resize(getColMap()->getLocalNumElements());
    SourceCol_pids.get1dCopy(SourcePids());
  } else if (!MyImporter.is_null() &&
             BaseDomainMap->isSameAs(*BaseRowMap) &&
             getDomainMap()->isSameAs(*getRowMap())) {
    // We can use the rowTransfer + SourceMatrix's Import to find out who owns what.
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC getOwningPIDs query import")));
#endif

    IntVectorType TargetRow_pids(domainMap);
    IntVectorType SourceRow_pids(getRowMap());
    IntVectorType SourceCol_pids(getColMap());

    TargetRow_pids.putScalar(MyPID);
    if (!reverseMode && xferAsImport != nullptr) {
      SourceRow_pids.doExport(TargetRow_pids, *xferAsImport, INSERT);
    } else if (reverseMode && xferAsExport != nullptr) {
      SourceRow_pids.doExport(TargetRow_pids, *xferAsExport, INSERT);
    } else if (!reverseMode && xferAsExport != nullptr) {
      SourceRow_pids.doImport(TargetRow_pids, *xferAsExport, INSERT);
    } else if (reverseMode && xferAsImport != nullptr) {
      SourceRow_pids.doImport(TargetRow_pids, *xferAsImport, INSERT);
    } else {
      TEUCHOS_TEST_FOR_EXCEPTION(
          true, std::logic_error,
          "Tpetra::CrsMatrix::"
          "transferAndFillComplete: Should never get here!  "
          "Please report this bug to a Tpetra developer.");
    }

    SourceCol_pids.doImport(SourceRow_pids, *MyImporter, INSERT);
    SourcePids.resize(getColMap()->getLocalNumElements());
    SourceCol_pids.get1dCopy(SourcePids());
  } else {
    TEUCHOS_TEST_FOR_EXCEPTION(
        true, std::invalid_argument,
        "Tpetra::CrsMatrix::"
        "transferAndFillComplete: This method only allows either domainMap == "
        "getDomainMap (), or (domainMap == rowTransfer.getTargetMap () and "
        "getDomainMap () == getRowMap ()).");
  }

  // Tpetra-specific stuff
  size_t constantNumPackets = destMat->constantNumberOfPackets();
  {
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC reallocate buffers")));
#endif
    if (constantNumPackets == 0) {
      destMat->reallocArraysForNumPacketsPerLid(ExportLIDs.size(),
                                                RemoteLIDs.view_host().size());
    } else {
      // There are a constant number of packets per element.  We
      // already know (from the number of "remote" (incoming)
      // elements) how many incoming elements we expect, so we can
      // resize the buffer accordingly.
      const size_t rbufLen = RemoteLIDs.view_host().size() * constantNumPackets;
      destMat->reallocImportsIfNeeded(rbufLen, false, nullptr);
    }
  }

  // Pack & Prepare w/ owning PIDs
  {
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC pack and prepare")));
#endif
    if (debug) {
      using std::cerr;
      using std::endl;
      using Teuchos::outArg;
      using Teuchos::REDUCE_MAX;
      using Teuchos::reduceAll;
      RCP<const Teuchos::Comm<int>> comm = this->getComm();
      const int myRank                   = comm->getRank();

      std::ostringstream errStrm;
      int lclErr = 0;
      int gblErr = 0;

      Teuchos::ArrayView<size_t> numExportPacketsPerLID;
      try {
        // packAndPrepare* methods modify numExportPacketsPerLID_.
        destMat->numExportPacketsPerLID_.modify_host();
        numExportPacketsPerLID =
            getArrayViewFromDualView(destMat->numExportPacketsPerLID_);
      } catch (std::exception& e) {
        errStrm << "Proc " << myRank << ": getArrayViewFromDualView threw: "
                << e.what() << std::endl;
        lclErr = 1;
      } catch (...) {
        errStrm << "Proc " << myRank << ": getArrayViewFromDualView threw "
                                        "an exception not a subclass of std::exception"
                << std::endl;
        lclErr = 1;
      }

      if (!comm.is_null()) {
        reduceAll<int, int>(*comm, REDUCE_MAX, lclErr, outArg(gblErr));
      }
      if (gblErr != 0) {
        ::Tpetra::Details::gathervPrint(cerr, errStrm.str(), *comm);
        TEUCHOS_TEST_FOR_EXCEPTION(
            true, std::runtime_error,
            "getArrayViewFromDualView threw an "
            "exception on at least one process.");
      }

      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Calling packCrsMatrixWithOwningPIDs"
           << std::endl;
        std::cerr << os.str();
      }
      try {
        packCrsMatrixWithOwningPIDs(*this,
                                    destMat->exports_,
                                    numExportPacketsPerLID,
                                    ExportLIDs,
                                    SourcePids,
                                    constantNumPackets);
      } catch (std::exception& e) {
        errStrm << "Proc " << myRank << ": packCrsMatrixWithOwningPIDs threw: "
                << e.what() << std::endl;
        lclErr = 1;
      } catch (...) {
        errStrm << "Proc " << myRank << ": packCrsMatrixWithOwningPIDs threw "
                                        "an exception not a subclass of std::exception"
                << std::endl;
        lclErr = 1;
      }

      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Done with packCrsMatrixWithOwningPIDs"
           << std::endl;
        std::cerr << os.str();
      }

      if (!comm.is_null()) {
        reduceAll<int, int>(*comm, REDUCE_MAX, lclErr, outArg(gblErr));
      }
      if (gblErr != 0) {
        ::Tpetra::Details::gathervPrint(cerr, errStrm.str(), *comm);
        TEUCHOS_TEST_FOR_EXCEPTION(
            true, std::runtime_error,
            "packCrsMatrixWithOwningPIDs threw an "
            "exception on at least one process.");
      }
    } else {
      // packAndPrepare* methods modify numExportPacketsPerLID_.
      destMat->numExportPacketsPerLID_.modify_host();
      Teuchos::ArrayView<size_t> numExportPacketsPerLID =
          getArrayViewFromDualView(destMat->numExportPacketsPerLID_);
      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Calling packCrsMatrixWithOwningPIDs"
           << std::endl;
        std::cerr << os.str();
      }
      packCrsMatrixWithOwningPIDs(*this,
                                  destMat->exports_,
                                  numExportPacketsPerLID,
                                  ExportLIDs,
                                  SourcePids,
                                  constantNumPackets);
      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Done with packCrsMatrixWithOwningPIDs"
           << std::endl;
        std::cerr << os.str();
      }
    }
  }

  // Do the exchange of remote data.
  {
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC getOwningPIDs exchange remote data")));
#endif
    if (!communication_needed) {
      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Communication not needed" << std::endl;
        std::cerr << os.str();
      }
    } else {
      if (reverseMode) {
        if (constantNumPackets == 0) {  // variable number of packets per LID
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Reverse mode, variable # packets / LID"
               << std::endl;
            std::cerr << os.str();
          }
          // Make sure that host has the latest version, since we're
          // using the version on host.  If host has the latest
          // version, syncing to host does nothing.
          destMat->numExportPacketsPerLID_.sync_host();
          Teuchos::ArrayView<const size_t> numExportPacketsPerLID =
              getArrayViewFromDualView(destMat->numExportPacketsPerLID_);
          destMat->numImportPacketsPerLID_.sync_host();
          Teuchos::ArrayView<size_t> numImportPacketsPerLID =
              getArrayViewFromDualView(destMat->numImportPacketsPerLID_);

          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Calling 3-arg doReversePostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }
          Distor.doReversePostsAndWaits(destMat->numExportPacketsPerLID_.view_host(), 1,
                                        destMat->numImportPacketsPerLID_.view_host());
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Finished 3-arg doReversePostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }

          size_t totalImportPackets = 0;
          for (Array_size_type i = 0; i < numImportPacketsPerLID.size(); ++i) {
            totalImportPackets += numImportPacketsPerLID[i];
          }

          // Reallocation MUST go before setting the modified flag,
          // because it may clear out the flags.
          destMat->reallocImportsIfNeeded(totalImportPackets, verbose,
                                          verbosePrefix.get());
          destMat->imports_.modify_host();
          auto hostImports = destMat->imports_.view_host();
          // This is a legacy host pack/unpack path, so use the host
          // version of exports_.
          destMat->exports_.sync_host();
          auto hostExports = destMat->exports_.view_host();
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Calling 4-arg doReversePostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }
          Distor.doReversePostsAndWaits(hostExports,
                                        numExportPacketsPerLID,
                                        hostImports,
                                        numImportPacketsPerLID);
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Finished 4-arg doReversePostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }
        } else {  // constant number of packets per LID
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Reverse mode, constant # packets / LID"
               << std::endl;
            std::cerr << os.str();
          }
          destMat->imports_.modify_host();
          auto hostImports = destMat->imports_.view_host();
          // This is a legacy host pack/unpack path, so use the host
          // version of exports_.
          destMat->exports_.sync_host();
          auto hostExports = destMat->exports_.view_host();
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Calling 3-arg doReversePostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }
          Distor.doReversePostsAndWaits(hostExports,
                                        constantNumPackets,
                                        hostImports);
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Finished 3-arg doReversePostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }
        }
      } else {                          // forward mode (the default)
        if (constantNumPackets == 0) {  // variable number of packets per LID
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Forward mode, variable # packets / LID"
               << std::endl;
            std::cerr << os.str();
          }
          // Make sure that host has the latest version, since we're
          // using the version on host.  If host has the latest
          // version, syncing to host does nothing.
          destMat->numExportPacketsPerLID_.sync_host();
          Teuchos::ArrayView<const size_t> numExportPacketsPerLID =
              getArrayViewFromDualView(destMat->numExportPacketsPerLID_);
          destMat->numImportPacketsPerLID_.sync_host();
          Teuchos::ArrayView<size_t> numImportPacketsPerLID =
              getArrayViewFromDualView(destMat->numImportPacketsPerLID_);
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Calling 3-arg doPostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }
          Distor.doPostsAndWaits(destMat->numExportPacketsPerLID_.view_host(), 1,
                                 destMat->numImportPacketsPerLID_.view_host());
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Finished 3-arg doPostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }

          size_t totalImportPackets = 0;
          for (Array_size_type i = 0; i < numImportPacketsPerLID.size(); ++i) {
            totalImportPackets += numImportPacketsPerLID[i];
          }

          // Reallocation MUST go before setting the modified flag,
          // because it may clear out the flags.
          destMat->reallocImportsIfNeeded(totalImportPackets, verbose,
                                          verbosePrefix.get());
          destMat->imports_.modify_host();
          auto hostImports = destMat->imports_.view_host();
          // This is a legacy host pack/unpack path, so use the host
          // version of exports_.
          destMat->exports_.sync_host();
          auto hostExports = destMat->exports_.view_host();
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Calling 4-arg doPostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }
          Distor.doPostsAndWaits(hostExports,
                                 numExportPacketsPerLID,
                                 hostImports,
                                 numImportPacketsPerLID);
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Finished 4-arg doPostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }
        } else {  // constant number of packets per LID
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Forward mode, constant # packets / LID"
               << std::endl;
            std::cerr << os.str();
          }
          destMat->imports_.modify_host();
          auto hostImports = destMat->imports_.view_host();
          // This is a legacy host pack/unpack path, so use the host
          // version of exports_.
          destMat->exports_.sync_host();
          auto hostExports = destMat->exports_.view_host();
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Calling 3-arg doPostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }
          Distor.doPostsAndWaits(hostExports,
                                 constantNumPackets,
                                 hostImports);
          if (verbose) {
            std::ostringstream os;
            os << *verbosePrefix << "Finished 3-arg doPostsAndWaits"
               << std::endl;
            std::cerr << os.str();
          }
        }
      }
    }
  }

  /*********************************************************************/
  /**** 3) Copy all of the Same/Permute/Remote data into CSR_arrays ****/
  /*********************************************************************/

  bool runOnHost = std::is_same_v<typename device_type::memory_space, Kokkos::HostSpace> && !useKokkosPath;

  Teuchos::Array<int> RemotePids;
  if (runOnHost) {
    Teuchos::Array<int> TargetPids;
    // Backwards compatibility measure.  We'll use this again below.

    // TODO JHU Need to track down why numImportPacketsPerLID_ has not been corrently marked as modified on host (which it has been)
    // TODO JHU somewhere above, e.g., call to Distor.doPostsAndWaits().
    // TODO JHU This only becomes apparent as we begin to convert TAFC to run on device.
    destMat->numImportPacketsPerLID_.modify_host();  // FIXME

#ifdef HAVE_TPETRA_MMM_TIMINGS
    RCP<TimeMonitor> tmCopySPRdata = rcp(new TimeMonitor(*TimeMonitor::getNewTimer(prefix + std::string("TAFC unpack-count-resize + copy same-perm-remote data"))));
#endif
    ArrayRCP<size_t> CSR_rowptr;
    ArrayRCP<GO> CSR_colind_GID;
    ArrayRCP<LO> CSR_colind_LID;
    ArrayRCP<Scalar> CSR_vals;

    destMat->imports_.sync_device();
    destMat->numImportPacketsPerLID_.sync_device();

    size_t N = BaseRowMap->getLocalNumElements();

    auto RemoteLIDs_d      = RemoteLIDs.view_device();
    auto PermuteToLIDs_d   = PermuteToLIDs.view_device();
    auto PermuteFromLIDs_d = PermuteFromLIDs.view_device();

    Details::unpackAndCombineIntoCrsArrays(
        *this,
        RemoteLIDs_d,
        destMat->imports_.view_device(),                 // hostImports
        destMat->numImportPacketsPerLID_.view_device(),  // numImportPacketsPerLID
        NumSameIDs,
        PermuteToLIDs_d,
        PermuteFromLIDs_d,
        N,
        MyPID,
        CSR_rowptr,
        CSR_colind_GID,
        CSR_vals,
        SourcePids(),
        TargetPids);

    // If LO and GO are the same, we can reuse memory when
    // converting the column indices from global to local indices.
    if (typeid(LO) == typeid(GO)) {
      CSR_colind_LID = Teuchos::arcp_reinterpret_cast<LO>(CSR_colind_GID);
    } else {
      CSR_colind_LID.resize(CSR_colind_GID.size());
    }
    CSR_colind_LID.resize(CSR_colind_GID.size());

    // On return from unpackAndCombineIntoCrsArrays TargetPids[i] == -1 for locally
    // owned entries.  Convert them to the actual PID.
    // JHU FIXME This can be done within unpackAndCombineIntoCrsArrays with a parallel_for.
    for (size_t i = 0; i < static_cast<size_t>(TargetPids.size()); i++) {
      if (TargetPids[i] == -1) TargetPids[i] = MyPID;
    }
#ifdef HAVE_TPETRA_MMM_TIMINGS
    tmCopySPRdata = Teuchos::null;
#endif
    /**************************************************************/
    /**** 4) Call Optimized MakeColMap w/ no Directory Lookups ****/
    /**************************************************************/
    // Call an optimized version of makeColMap that avoids the
    // Directory lookups (since the Import object knows who owns all
    // the GIDs).
    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Calling lowCommunicationMakeColMapAndReindex"
         << std::endl;
      std::cerr << os.str();
    }
    {
#ifdef HAVE_TPETRA_MMM_TIMINGS
      Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC makeColMap")));
#endif
      Import_Util::lowCommunicationMakeColMapAndReindexSerial(CSR_rowptr(),
                                                              CSR_colind_LID(),
                                                              CSR_colind_GID(),
                                                              BaseDomainMap,
                                                              TargetPids,
                                                              RemotePids,
                                                              MyColMap);
    }

    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "restrictComm="
         << (restrictComm ? "true" : "false") << std::endl;
      std::cerr << os.str();
    }

    /*******************************************************/
    /**** 4) Second communicator restriction phase      ****/
    /*******************************************************/
    {
#ifdef HAVE_TPETRA_MMM_TIMINGS
      Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC restrict colmap")));
#endif
      if (restrictComm) {
        ReducedColMap = (MyRowMap.getRawPtr() == MyColMap.getRawPtr()) ? ReducedRowMap : MyColMap->replaceCommWithSubset(ReducedComm);
        MyColMap      = ReducedColMap;  // Reset the "my" maps
      }

      // Replace the col map
      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Calling replaceColMap" << std::endl;
        std::cerr << os.str();
      }
      destMat->replaceColMap(MyColMap);

      // Short circuit if the processor is no longer in the communicator
      //
      // NOTE: Epetra replaces modifies all "removed" processes so they
      // have a dummy (serial) Map that doesn't touch the original
      // communicator.  Duplicating that here might be a good idea.
      if (ReducedComm.is_null()) {
        if (verbose) {
          std::ostringstream os;
          os << *verbosePrefix << "I am no longer in the communicator; "
                                  "returning"
             << std::endl;
          std::cerr << os.str();
        }
        return;
      }
    }

    /***************************************************/
    /**** 5) Sort                                   ****/
    /***************************************************/
    if ((!reverseMode && xferAsImport != nullptr) ||
        (reverseMode && xferAsExport != nullptr)) {
      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Calling sortCrsEntries" << endl;
        std::cerr << os.str();
      }
#ifdef HAVE_TPETRA_MMM_TIMINGS
      Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC sortCrsEntries")));
#endif
      Import_Util::sortCrsEntries(CSR_rowptr(),
                                  CSR_colind_LID(),
                                  CSR_vals());
    } else if ((!reverseMode && xferAsExport != nullptr) ||
               (reverseMode && xferAsImport != nullptr)) {
      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Calling sortAndMergeCrsEntries"
           << endl;
        std::cerr << os.str();
      }
#ifdef HAVE_TPETRA_MMM_TIMINGS
      Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC sortAndMergeCrsEntries")));
#endif
      Import_Util::sortAndMergeCrsEntries(CSR_rowptr(),
                                          CSR_colind_LID(),
                                          CSR_vals());
      if (CSR_rowptr[N] != static_cast<size_t>(CSR_vals.size())) {
        CSR_colind_LID.resize(CSR_rowptr[N]);
        CSR_vals.resize(CSR_rowptr[N]);
      }
    } else {
      TEUCHOS_TEST_FOR_EXCEPTION(
          true, std::logic_error,
          "Tpetra::CrsMatrix::"
          "transferAndFillComplete: Should never get here!  "
          "Please report this bug to a Tpetra developer.");
    }
    /***************************************************/
    /**** 6) Reset the colmap and the arrays        ****/
    /***************************************************/

    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Calling destMat->setAllValues" << endl;
      std::cerr << os.str();
    }

    // Call constructor for the new matrix (restricted as needed)
    //
    // NOTE (mfh 15 May 2014) This should work fine for the Kokkos
    // refactor version of CrsMatrix, though it reserves the right to
    // make a deep copy of the arrays.
    {
#ifdef HAVE_TPETRA_MMM_TIMINGS
      Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC setAllValues")));
#endif
      destMat->setAllValues(CSR_rowptr, CSR_colind_LID, CSR_vals);
    }

  } else {
    // run on device

    // Backwards compatibility measure.  We'll use this again below.

    // TODO JHU Need to track down why numImportPacketsPerLID_ has not been corrently marked as modified on host (which it has been)
    // TODO JHU somewhere above, e.g., call to Distor.doPostsAndWaits().
    // TODO JHU This only becomes apparent as we begin to convert TAFC to run on device.
    destMat->numImportPacketsPerLID_.modify_host();  // FIXME

#ifdef HAVE_TPETRA_MMM_TIMINGS
    RCP<TimeMonitor> tmCopySPRdata = rcp(new TimeMonitor(*TimeMonitor::getNewTimer(prefix + std::string("TAFC unpack-count-resize + copy same-perm-remote data"))));
#endif
    ArrayRCP<size_t> CSR_rowptr;
    ArrayRCP<GO> CSR_colind_GID;
    ArrayRCP<LO> CSR_colind_LID;
    ArrayRCP<Scalar> CSR_vals;

    destMat->imports_.sync_device();
    destMat->numImportPacketsPerLID_.sync_device();

    size_t N = BaseRowMap->getLocalNumElements();

    auto RemoteLIDs_d      = RemoteLIDs.view_device();
    auto PermuteToLIDs_d   = PermuteToLIDs.view_device();
    auto PermuteFromLIDs_d = PermuteFromLIDs.view_device();

    Kokkos::View<size_t*, device_type> CSR_rowptr_d;
    Kokkos::View<GO*, device_type> CSR_colind_GID_d;
    Kokkos::View<LO*, device_type> CSR_colind_LID_d;
    Kokkos::View<impl_scalar_type*, device_type> CSR_vals_d;
    Kokkos::View<int*, device_type> TargetPids_d;

    Details::unpackAndCombineIntoCrsArrays(
        *this,
        RemoteLIDs_d,
        destMat->imports_.view_device(),                 // hostImports
        destMat->numImportPacketsPerLID_.view_device(),  // numImportPacketsPerLID
        NumSameIDs,
        PermuteToLIDs_d,
        PermuteFromLIDs_d,
        N,
        MyPID,
        CSR_rowptr_d,
        CSR_colind_GID_d,
        CSR_vals_d,
        SourcePids(),
        TargetPids_d);

    Kokkos::resize(CSR_colind_LID_d, CSR_colind_GID_d.size());

#ifdef HAVE_TPETRA_MMM_TIMINGS
    tmCopySPRdata = Teuchos::null;
#endif
    /**************************************************************/
    /**** 4) Call Optimized MakeColMap w/ no Directory Lookups ****/
    /**************************************************************/
    // Call an optimized version of makeColMap that avoids the
    // Directory lookups (since the Import object knows who owns all
    // the GIDs).
    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Calling lowCommunicationMakeColMapAndReindex"
         << std::endl;
      std::cerr << os.str();
    }
    {
#ifdef HAVE_TPETRA_MMM_TIMINGS
      Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC makeColMap")));
#endif
      Import_Util::lowCommunicationMakeColMapAndReindex(CSR_rowptr_d,
                                                        CSR_colind_LID_d,
                                                        CSR_colind_GID_d,
                                                        BaseDomainMap,
                                                        TargetPids_d,
                                                        RemotePids,
                                                        MyColMap);
    }

    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "restrictComm="
         << (restrictComm ? "true" : "false") << std::endl;
      std::cerr << os.str();
    }

    /*******************************************************/
    /**** 4) Second communicator restriction phase      ****/
    /*******************************************************/
    {
#ifdef HAVE_TPETRA_MMM_TIMINGS
      Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC restrict colmap")));
#endif
      if (restrictComm) {
        ReducedColMap = (MyRowMap.getRawPtr() == MyColMap.getRawPtr()) ? ReducedRowMap : MyColMap->replaceCommWithSubset(ReducedComm);
        MyColMap      = ReducedColMap;  // Reset the "my" maps
      }

      // Replace the col map
      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Calling replaceColMap" << std::endl;
        std::cerr << os.str();
      }
      destMat->replaceColMap(MyColMap);

      // Short circuit if the processor is no longer in the communicator
      //
      // NOTE: Epetra replaces modifies all "removed" processes so they
      // have a dummy (serial) Map that doesn't touch the original
      // communicator.  Duplicating that here might be a good idea.
      if (ReducedComm.is_null()) {
        if (verbose) {
          std::ostringstream os;
          os << *verbosePrefix << "I am no longer in the communicator; "
                                  "returning"
             << std::endl;
          std::cerr << os.str();
        }
        return;
      }
    }

    /***************************************************/
    /**** 5) Sort                                   ****/
    /***************************************************/

    if ((!reverseMode && xferAsImport != nullptr) ||
        (reverseMode && xferAsExport != nullptr)) {
      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Calling sortCrsEntries" << endl;
        std::cerr << os.str();
      }
#ifdef HAVE_TPETRA_MMM_TIMINGS
      Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC sortCrsEntries")));
#endif
      Import_Util::sortCrsEntries(CSR_rowptr_d,
                                  CSR_colind_LID_d,
                                  CSR_vals_d);
    } else if ((!reverseMode && xferAsExport != nullptr) ||
               (reverseMode && xferAsImport != nullptr)) {
      if (verbose) {
        std::ostringstream os;
        os << *verbosePrefix << "Calling sortAndMergeCrsEntries"
           << endl;
        std::cerr << os.str();
      }
#ifdef HAVE_TPETRA_MMM_TIMINGS
      Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC sortAndMergeCrsEntries")));
#endif
      Import_Util::sortAndMergeCrsEntries(CSR_rowptr_d,
                                          CSR_colind_LID_d,
                                          CSR_vals_d);
    } else {
      TEUCHOS_TEST_FOR_EXCEPTION(
          true, std::logic_error,
          "Tpetra::CrsMatrix::"
          "transferAndFillComplete: Should never get here!  "
          "Please report this bug to a Tpetra developer.");
    }

    /***************************************************/
    /**** 6) Reset the colmap and the arrays        ****/
    /***************************************************/

    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Calling destMat->setAllValues" << endl;
      std::cerr << os.str();
    }

    {
#ifdef HAVE_TPETRA_MMM_TIMINGS
      Teuchos::TimeMonitor MMrc(*TimeMonitor::getNewTimer(prefix + std::string("TAFC setAllValues")));
#endif
      destMat->setAllValues(CSR_rowptr_d, CSR_colind_LID_d, CSR_vals_d);
    }

  }  // if (runOnHost) .. else ..

  /***************************************************/
  /**** 7) Build Importer & Call ESFC             ****/
  /***************************************************/
#ifdef HAVE_TPETRA_MMM_TIMINGS
  RCP<TimeMonitor> tmIESFC = rcp(new TimeMonitor(*TimeMonitor::getNewTimer(prefix + std::string("TAFC build importer and esfc"))));
#endif
  // Pre-build the importer using the existing PIDs
  Teuchos::ParameterList esfc_params;

  RCP<import_type> MyImport;

  // Fulfull the non-blocking allreduce on reduced_mismatch.
  if (iallreduceRequest.get() != nullptr) {
    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Calling iallreduceRequest->wait()"
         << endl;
      std::cerr << os.str();
    }
    iallreduceRequest->wait();
    if (reduced_mismatch != 0) {
      isMM = false;
    }
  }

  if (isMM) {
#ifdef HAVE_TPETRA_MMM_TIMINGS
    Teuchos::TimeMonitor MMisMM(*TimeMonitor::getNewTimer(prefix + std::string("isMM Block")));
#endif
    // Combine all type1/2/3 lists, [filter them], then call the expert import constructor.

    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Getting CRS pointers" << endl;
      std::cerr << os.str();
    }

    Teuchos::ArrayRCP<LocalOrdinal> type3LIDs;
    Teuchos::ArrayRCP<int> type3PIDs;
    auto rowptr = getCrsGraph()->getLocalRowPtrsHost();
    auto colind = getCrsGraph()->getLocalIndicesHost();

    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Calling reverseNeighborDiscovery" << std::endl;
      std::cerr << os.str();
    }

    {
#ifdef HAVE_TPETRA_MMM_TIMINGS
      TimeMonitor tm_rnd(*TimeMonitor::getNewTimer(prefix + std::string("isMMrevNeighDis")));
#endif
      Import_Util::reverseNeighborDiscovery(*this,
                                            rowptr,
                                            colind,
                                            rowTransfer,
                                            MyImporter,
                                            MyDomainMap,
                                            type3PIDs,
                                            type3LIDs,
                                            ReducedComm);
    }

    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Done with reverseNeighborDiscovery" << std::endl;
      std::cerr << os.str();
    }

    Teuchos::ArrayView<const int> EPID1 = MyImporter.is_null() ? Teuchos::ArrayView<const int>() : MyImporter->getExportPIDs();
    Teuchos::ArrayView<const LO> ELID1  = MyImporter.is_null() ? Teuchos::ArrayView<const LO>() : MyImporter->getExportLIDs();

    Teuchos::ArrayView<const int> TEPID2 = rowTransfer.getExportPIDs();  // row matrix
    Teuchos::ArrayView<const LO> TELID2  = rowTransfer.getExportLIDs();

    const int numCols = getGraph()->getColMap()->getLocalNumElements();  // may be dup
    // from EpetraExt_MMHelpers.cpp: build_type2_exports
    std::vector<bool> IsOwned(numCols, true);
    std::vector<int> SentTo(numCols, -1);
    if (!MyImporter.is_null()) {
      for (auto&& rlid : MyImporter->getRemoteLIDs()) {  // the remoteLIDs must be from sourcematrix
        IsOwned[rlid] = false;
      }
    }

    std::vector<std::pair<int, GO>> usrtg;
    usrtg.reserve(TEPID2.size());

    {
      const auto& colMap = *(this->getColMap());  // *this is sourcematrix
      for (Array_size_type i = 0; i < TEPID2.size(); ++i) {
        const LO row  = TELID2[i];
        const int pid = TEPID2[i];
        for (auto j = rowptr[row]; j < rowptr[row + 1]; ++j) {
          const int col = colind[j];
          if (IsOwned[col] && SentTo[col] != pid) {
            SentTo[col] = pid;
            GO gid      = colMap.getGlobalElement(col);
            usrtg.push_back(std::pair<int, GO>(pid, gid));
          }
        }
      }
    }

    // This sort can _not_ be omitted.[
    std::sort(usrtg.begin(), usrtg.end());  // default comparator does the right thing, now sorted in gid order
    auto eopg = std ::unique(usrtg.begin(), usrtg.end());
    // 25 Jul 2018: Could just ignore the entries at and after eopg.
    usrtg.erase(eopg, usrtg.end());

    const Array_size_type type2_us_size = usrtg.size();
    Teuchos::ArrayRCP<int> EPID2        = Teuchos::arcp(new int[type2_us_size], 0, type2_us_size, true);
    Teuchos::ArrayRCP<LO> ELID2         = Teuchos::arcp(new LO[type2_us_size], 0, type2_us_size, true);

    int pos = 0;
    for (auto&& p : usrtg) {
      EPID2[pos] = p.first;
      ELID2[pos] = this->getDomainMap()->getLocalElement(p.second);
      pos++;
    }

    Teuchos::ArrayView<int> EPID3 = type3PIDs();
    Teuchos::ArrayView<LO> ELID3  = type3LIDs();
    GO InfGID                     = std::numeric_limits<GO>::max();
    int InfPID                    = INT_MAX;
#ifdef TPETRA_MIN3
#undef TPETRA_MIN3
#endif  // TPETRA_MIN3
#define TPETRA_MIN3(x, y, z) ((x) < (y) ? (std::min(x, z)) : (std::min(y, z)))
    int i1 = 0, i2 = 0, i3 = 0;
    int Len1 = EPID1.size();
    int Len2 = EPID2.size();
    int Len3 = EPID3.size();

    int MyLen                             = Len1 + Len2 + Len3;
    Teuchos::ArrayRCP<LO> userExportLIDs  = Teuchos::arcp(new LO[MyLen], 0, MyLen, true);
    Teuchos::ArrayRCP<int> userExportPIDs = Teuchos::arcp(new int[MyLen], 0, MyLen, true);
    int iloc                              = 0;  // will be the size of the userExportLID/PIDs

    while (i1 < Len1 || i2 < Len2 || i3 < Len3) {
      int PID1 = (i1 < Len1) ? (EPID1[i1]) : InfPID;
      int PID2 = (i2 < Len2) ? (EPID2[i2]) : InfPID;
      int PID3 = (i3 < Len3) ? (EPID3[i3]) : InfPID;

      GO GID1 = (i1 < Len1) ? getDomainMap()->getGlobalElement(ELID1[i1]) : InfGID;
      GO GID2 = (i2 < Len2) ? getDomainMap()->getGlobalElement(ELID2[i2]) : InfGID;
      GO GID3 = (i3 < Len3) ? getDomainMap()->getGlobalElement(ELID3[i3]) : InfGID;

      int MIN_PID = TPETRA_MIN3(PID1, PID2, PID3);
      GO MIN_GID  = TPETRA_MIN3(((PID1 == MIN_PID) ? GID1 : InfGID), ((PID2 == MIN_PID) ? GID2 : InfGID), ((PID3 == MIN_PID) ? GID3 : InfGID));
#ifdef TPETRA_MIN3
#undef TPETRA_MIN3
#endif  // TPETRA_MIN3
      bool added_entry = false;

      if (PID1 == MIN_PID && GID1 == MIN_GID) {
        userExportLIDs[iloc] = ELID1[i1];
        userExportPIDs[iloc] = EPID1[i1];
        i1++;
        added_entry = true;
        iloc++;
      }
      if (PID2 == MIN_PID && GID2 == MIN_GID) {
        if (!added_entry) {
          userExportLIDs[iloc] = ELID2[i2];
          userExportPIDs[iloc] = EPID2[i2];
          added_entry          = true;
          iloc++;
        }
        i2++;
      }
      if (PID3 == MIN_PID && GID3 == MIN_GID) {
        if (!added_entry) {
          userExportLIDs[iloc] = ELID3[i3];
          userExportPIDs[iloc] = EPID3[i3];
          iloc++;
        }
        i3++;
      }
    }

    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Create Import" << std::endl;
      std::cerr << os.str();
    }

#ifdef HAVE_TPETRA_MMM_TIMINGS
    auto ismmIctor(*TimeMonitor::getNewTimer(prefix + std::string("isMMIportCtor")));
#endif
    Teuchos::RCP<Teuchos::ParameterList> plist = rcp(new Teuchos::ParameterList());
    // 25 Jul 2018: Test for equality with the non-isMM path's Import object.
    if ((MyDomainMap != MyColMap) && (!MyDomainMap->isSameAs(*MyColMap)))
      MyImport = rcp(new import_type(MyDomainMap,
                                     MyColMap,
                                     RemotePids,
                                     userExportLIDs.view(0, iloc).getConst(),
                                     userExportPIDs.view(0, iloc).getConst(),
                                     plist));

    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Call expertStaticFillComplete" << std::endl;
      std::cerr << os.str();
    }

    {
#ifdef HAVE_TPETRA_MMM_TIMINGS
      TimeMonitor esfc(*TimeMonitor::getNewTimer(prefix + std::string("isMM::destMat->eSFC")));
      esfc_params.set("Timer Label", label + std::string("isMM eSFC"));
#endif
      if (!params.is_null())
        esfc_params.set("compute global constants", params->get("compute global constants", true));
      destMat->expertStaticFillComplete(MyDomainMap, MyRangeMap, MyImport, Teuchos::null, rcp(new Teuchos::ParameterList(esfc_params)));
    }

  }  // if(isMM)
  else {
#ifdef HAVE_TPETRA_MMM_TIMINGS
    TimeMonitor MMnotMMblock(*TimeMonitor::getNewTimer(prefix + std::string("TAFC notMMblock")));
#endif
    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Create Import" << std::endl;
      std::cerr << os.str();
    }

#ifdef HAVE_TPETRA_MMM_TIMINGS
    TimeMonitor notMMIcTor(*TimeMonitor::getNewTimer(prefix + std::string("TAFC notMMCreateImporter")));
#endif
    Teuchos::RCP<Teuchos::ParameterList> mypars = rcp(new Teuchos::ParameterList);
    mypars->set("Timer Label", "notMMFrom_tAFC");
    if ((MyDomainMap != MyColMap) && (!MyDomainMap->isSameAs(*MyColMap)))
      MyImport = rcp(new import_type(MyDomainMap, MyColMap, RemotePids, mypars));

    if (verbose) {
      std::ostringstream os;
      os << *verbosePrefix << "Call expertStaticFillComplete" << endl;
      std::cerr << os.str();
    }

#ifdef HAVE_TPETRA_MMM_TIMINGS
    TimeMonitor esfcnotmm(*TimeMonitor::getNewTimer(prefix + std::string("notMMdestMat->expertStaticFillComplete")));
    esfc_params.set("Timer Label", prefix + std::string("notMM eSFC"));
#else
    esfc_params.set("Timer Label", std::string("notMM eSFC"));
#endif

    if (!params.is_null()) {
      esfc_params.set("compute global constants",
                      params->get("compute global constants", true));
    }
    destMat->expertStaticFillComplete(MyDomainMap, MyRangeMap,
                                      MyImport, Teuchos::null,
                                      rcp(new Teuchos::ParameterList(esfc_params)));
  }

#ifdef HAVE_TPETRA_MMM_TIMINGS
  tmIESFC = Teuchos::null;
#endif

  if (verbose) {
    std::ostringstream os;
    os << *verbosePrefix << "Done" << endl;
    std::cerr << os.str();
  }
}  // transferAndFillComplete

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    importAndFillComplete(Teuchos::RCP<CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>>& destMatrix,
                          const import_type& importer,
                          const Teuchos::RCP<const map_type>& domainMap,
                          const Teuchos::RCP<const map_type>& rangeMap,
                          const Teuchos::RCP<Teuchos::ParameterList>& params) const {
  transferAndFillComplete(destMatrix, importer, Teuchos::null, domainMap, rangeMap, params);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    importAndFillComplete(Teuchos::RCP<CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>>& destMatrix,
                          const import_type& rowImporter,
                          const import_type& domainImporter,
                          const Teuchos::RCP<const map_type>& domainMap,
                          const Teuchos::RCP<const map_type>& rangeMap,
                          const Teuchos::RCP<Teuchos::ParameterList>& params) const {
  transferAndFillComplete(destMatrix, rowImporter, Teuchos::rcpFromRef(domainImporter), domainMap, rangeMap, params);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    exportAndFillComplete(Teuchos::RCP<CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>>& destMatrix,
                          const export_type& exporter,
                          const Teuchos::RCP<const map_type>& domainMap,
                          const Teuchos::RCP<const map_type>& rangeMap,
                          const Teuchos::RCP<Teuchos::ParameterList>& params) const {
  transferAndFillComplete(destMatrix, exporter, Teuchos::null, domainMap, rangeMap, params);
}

template <class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
void CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>::
    exportAndFillComplete(Teuchos::RCP<CrsMatrix<Scalar, LocalOrdinal, GlobalOrdinal, Node>>& destMatrix,
                          const export_type& rowExporter,
                          const export_type& domainExporter,
                          const Teuchos::RCP<const map_type>& domainMap,
                          const Teuchos::RCP<const map_type>& rangeMap,
                          const Teuchos::RCP<Teuchos::ParameterList>& params) const {
  transferAndFillComplete(destMatrix, rowExporter, Teuchos::rcpFromRef(domainExporter), domainMap, rangeMap, params);
}

}  // namespace Tpetra

//
// Explicit instantiation macro
//
// Must be expanded from within the Tpetra namespace!
//

#define TPETRA_CRSMATRIX_MATRIX_INSTANT(SCALAR, LO, GO, NODE) \
                                                              \
  template class CrsMatrix<SCALAR, LO, GO, NODE>;

#define TPETRA_CRSMATRIX_CONVERT_INSTANT(SO, SI, LO, GO, NODE) \
                                                               \
  template Teuchos::RCP<CrsMatrix<SO, LO, GO, NODE>>           \
  CrsMatrix<SI, LO, GO, NODE>::convert<SO>() const;

#define TPETRA_CRSMATRIX_IMPORT_AND_FILL_COMPLETE_INSTANT(SCALAR, LO, GO, NODE)                                        \
  template <>                                                                                                          \
  Teuchos::RCP<CrsMatrix<SCALAR, LO, GO, NODE>>                                                                        \
  importAndFillCompleteCrsMatrix(const Teuchos::RCP<const CrsMatrix<SCALAR, LO, GO, NODE>>& sourceMatrix,              \
                                 const Import<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,                     \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,                    \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>& importer,                   \
                                 const Teuchos::RCP<const Map<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,     \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,    \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>>& domainMap, \
                                 const Teuchos::RCP<const Map<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,     \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,    \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>>& rangeMap,  \
                                 const Teuchos::RCP<Teuchos::ParameterList>& params);

#define TPETRA_CRSMATRIX_IMPORT_AND_FILL_COMPLETE_INSTANT_TWO(SCALAR, LO, GO, NODE)                                    \
  template <>                                                                                                          \
  Teuchos::RCP<CrsMatrix<SCALAR, LO, GO, NODE>>                                                                        \
  importAndFillCompleteCrsMatrix(const Teuchos::RCP<const CrsMatrix<SCALAR, LO, GO, NODE>>& sourceMatrix,              \
                                 const Import<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,                     \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,                    \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>& rowImporter,                \
                                 const Import<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,                     \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,                    \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>& domainImporter,             \
                                 const Teuchos::RCP<const Map<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,     \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,    \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>>& domainMap, \
                                 const Teuchos::RCP<const Map<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,     \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,    \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>>& rangeMap,  \
                                 const Teuchos::RCP<Teuchos::ParameterList>& params);

#define TPETRA_CRSMATRIX_EXPORT_AND_FILL_COMPLETE_INSTANT(SCALAR, LO, GO, NODE)                                        \
  template <>                                                                                                          \
  Teuchos::RCP<CrsMatrix<SCALAR, LO, GO, NODE>>                                                                        \
  exportAndFillCompleteCrsMatrix(const Teuchos::RCP<const CrsMatrix<SCALAR, LO, GO, NODE>>& sourceMatrix,              \
                                 const Export<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,                     \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,                    \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>& exporter,                   \
                                 const Teuchos::RCP<const Map<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,     \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,    \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>>& domainMap, \
                                 const Teuchos::RCP<const Map<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,     \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,    \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>>& rangeMap,  \
                                 const Teuchos::RCP<Teuchos::ParameterList>& params);

#define TPETRA_CRSMATRIX_EXPORT_AND_FILL_COMPLETE_INSTANT_TWO(SCALAR, LO, GO, NODE)                                    \
  template <>                                                                                                          \
  Teuchos::RCP<CrsMatrix<SCALAR, LO, GO, NODE>>                                                                        \
  exportAndFillCompleteCrsMatrix(const Teuchos::RCP<const CrsMatrix<SCALAR, LO, GO, NODE>>& sourceMatrix,              \
                                 const Export<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,                     \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,                    \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>& rowExporter,                \
                                 const Export<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,                     \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,                    \
                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>& domainExporter,             \
                                 const Teuchos::RCP<const Map<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,     \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,    \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>>& domainMap, \
                                 const Teuchos::RCP<const Map<CrsMatrix<SCALAR, LO, GO, NODE>::local_ordinal_type,     \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::global_ordinal_type,    \
                                                              CrsMatrix<SCALAR, LO, GO, NODE>::node_type>>& rangeMap,  \
                                 const Teuchos::RCP<Teuchos::ParameterList>& params);

#define TPETRA_CRSMATRIX_INSTANT(SCALAR, LO, GO, NODE)                        \
  TPETRA_CRSMATRIX_MATRIX_INSTANT(SCALAR, LO, GO, NODE)                       \
  TPETRA_CRSMATRIX_IMPORT_AND_FILL_COMPLETE_INSTANT(SCALAR, LO, GO, NODE)     \
  TPETRA_CRSMATRIX_EXPORT_AND_FILL_COMPLETE_INSTANT(SCALAR, LO, GO, NODE)     \
  TPETRA_CRSMATRIX_IMPORT_AND_FILL_COMPLETE_INSTANT_TWO(SCALAR, LO, GO, NODE) \
  TPETRA_CRSMATRIX_EXPORT_AND_FILL_COMPLETE_INSTANT_TWO(SCALAR, LO, GO, NODE)

#endif  // TPETRA_CRSMATRIX_DEF_HPP