Tpetra_Details_CooMatrix.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_DETAILS_COOMATRIX_HPP
#define TPETRA_DETAILS_COOMATRIX_HPP
 
 
#include "TpetraCore_config.h"
#include "Tpetra_Details_PackTriples.hpp"
#include "Tpetra_DistObject.hpp"
#include "Tpetra_Details_gathervPrint.hpp"
#include "Tpetra_Details_reallocDualViewIfNeeded.hpp"
#include "Teuchos_TypeNameTraits.hpp"
 
#include <initializer_list>
#include <map>
#include <memory>
#include <string>
#include <type_traits>
#include <vector>
 
namespace Tpetra {
namespace Details {
 
// Implementation details of Tpetra::Details.
// So, users REALLY should not use anything in here.
namespace Impl {
 
template <class IndexType>
struct CooGraphEntry {
  IndexType row;
  IndexType col;
};
 
template <class IndexType>
struct CompareCooGraphEntries {
  bool
  operator()(const CooGraphEntry<IndexType>& x,
             const CooGraphEntry<IndexType>& y) const {
    return (x.row < y.row) || (x.row == y.row && x.col < y.col);
  }
};
 
template <class SC, class GO>
class CooMatrixImpl {
 private:
  typedef std::map<CooGraphEntry<GO>, SC,
                   CompareCooGraphEntries<GO> >
      entries_type;
 
  entries_type entries_;
 
 public:
  typedef char packet_type;
 
  CooMatrixImpl() = default;
 
  void
  sumIntoGlobalValue(const GO gblRowInd,
                     const GO gblColInd,
                     const SC& val) {
    // There's no sense in worrying about the insertion hint, since
    // indices may be all over the place.  Users make no promises of
    // sorting or locality of input.
    CooGraphEntry<GO> ij{gblRowInd, gblColInd};
    auto result = this->entries_.insert({ij, val});
    if (!result.second) {           // already in the map
      result.first->second += val;  // sum in the new value
    }
  }
 
  void
  sumIntoGlobalValues(const GO gblRowInds[],
                      const GO gblColInds[],
                      const SC vals[],
                      const std::size_t numEnt) {
    for (std::size_t k = 0; k < numEnt; ++k) {
      // There's no sense in worrying about the insertion hint, since
      // indices may be all over the place.  Users make no promises of
      // sorting or locality of input.
      CooGraphEntry<GO> ij{gblRowInds[k], gblColInds[k]};
      const SC val = vals[k];
      auto result  = this->entries_.insert({ij, val});
      if (!result.second) {           // already in the map
        result.first->second += val;  // sum in the new value
      }
    }
  }
 
  std::size_t
  getLclNumEntries() const {
    return this->entries_.size();
  }
 
  void
  forAllEntries(std::function<void(const GO, const GO, const SC&)> f) const {
    for (auto iter = this->entries_.begin();
         iter != this->entries_.end(); ++iter) {
      f(iter->first.row, iter->first.col, iter->second);
    }
  }
 
  void
  mergeIntoRow(const GO tgtGblRow,
               const CooMatrixImpl<SC, GO>& src,
               const GO srcGblRow) {
    // const char prefix[] =
    //   "Tpetra::Details::Impl::CooMatrixImpl::mergeIntoRow: ";
 
    entries_type& tgtEntries       = this->entries_;
    const entries_type& srcEntries = src.entries_;
 
    // Find all entries with the given global row index.  The min GO
    // value is guaranteed to be the least possible column index, so
    // beg1 is a lower bound for all (row index, column index) pairs.
    // Lower bound is inclusive; upper bound is exclusive.
    auto srcBeg = srcEntries.lower_bound({srcGblRow, std::numeric_limits<GO>::min()});
    auto srcEnd = srcEntries.upper_bound({srcGblRow + 1, std::numeric_limits<GO>::min()});
    auto tgtBeg = tgtEntries.lower_bound({tgtGblRow, std::numeric_limits<GO>::min()});
    auto tgtEnd = tgtEntries.upper_bound({tgtGblRow + 1, std::numeric_limits<GO>::min()});
 
    // Don't waste time iterating over the current row of *this, if
    // the current row of src is empty.
    if (srcBeg != srcEnd) {
      for (auto tgtCur = tgtBeg; tgtCur != tgtEnd; ++tgtCur) {
        auto srcCur = srcBeg;
        while (srcCur != srcEnd && srcCur->first.col < tgtCur->first.col) {
          ++srcCur;
        }
        // At this point, one of the following is true:
        //
        // 1. srcCur == srcEnd, thus nothing more to insert.
        // 2. srcCur->first.col > tgtCur->first.col, thus the current
        //    row of src has no entry matching tgtCur->first, so we
        //    have to insert it.  Insertion does not invalidate
        //    tgtEntries iterators, and neither srcEntries nor
        //    tgtEntries have duplicates, so this is safe.
        // 3. srcCur->first.col == tgtCur->first.col, so add the two entries.
        if (srcCur != srcEnd) {
          if (srcCur->first.col == tgtCur->first.col) {
            tgtCur->second += srcCur->second;
          } else {
            // tgtCur is (optimally) right before where we want to put
            // the new entry, since srcCur points to the first entry
            // in srcEntries whose column index is greater than that
            // of the entry to which tgtCur points.
            (void)tgtEntries.insert(tgtCur, *srcCur);
          }
        }  // if srcCur != srcEnd
      }    // for each entry in the current row (lclRow) of *this
    }      // if srcBeg != srcEnd
  }
 
  int countPackRow(int& numPackets,
                   const GO gblRow,
                   const ::Teuchos::Comm<int>& comm,
                   std::ostream* errStrm = NULL) const {
    using std::endl;
    using ::Tpetra::Details::countPackTriples;
    using ::Tpetra::Details::countPackTriplesCount;
    const char prefix[] = "Tpetra::Details::Impl::CooMatrixImpl::countPackRow: ";
#ifdef HAVE_TPETRACORE_MPI
    int errCode = MPI_SUCCESS;
#else
    int errCode = 0;
#endif  // HAVE_TPETRACORE_MPI
 
    // Count the number of entries in the given row.
    const GO minGO = std::numeric_limits<GO>::min();
    auto beg       = this->entries_.lower_bound({gblRow, minGO});
    auto end       = this->entries_.upper_bound({gblRow + 1, minGO});
    int numEnt     = 0;
    for (auto iter = beg; iter != end; ++iter) {
      ++numEnt;
      if (numEnt == std::numeric_limits<int>::max()) {
        if (errStrm != NULL) {
          *errStrm << prefix << "In (global) row " << gblRow << ", the number "
                                                                "of entries thus far, numEnt = "
                   << numEnt << ", has reached the "
                                "maximum int value.  We need to store this count as int for MPI's "
                                "sake."
                   << endl;
        }
        return -1;
      }
    }
 
    int numPacketsForCount = 0;  // output argument of countPackTriplesCount
    {
      errCode =
          countPackTriplesCount(comm, numPacketsForCount, errStrm);
      if (errCode != 0) {
        if (errStrm != NULL) {
          *errStrm << prefix << "countPackTriplesCount "
                                "returned errCode = "
                   << errCode << " != 0." << endl;
        }
        return errCode;
      }
      if (numPacketsForCount < 0) {
        if (errStrm != NULL) {
          *errStrm << prefix << "countPackTriplesCount returned "
                                "numPacketsForCount = "
                   << numPacketsForCount << " < 0." << endl;
        }
        return -1;
      }
    }
 
    int numPacketsForTriples = 0;  // output argument of countPackTriples
    {
      errCode = countPackTriples<SC, GO>(numEnt, comm, numPacketsForTriples);
      TEUCHOS_TEST_FOR_EXCEPTION(errCode != 0, std::runtime_error, prefix << "countPackTriples "
                                                                             "returned errCode = "
                                                                          << errCode << " != 0.");
      TEUCHOS_TEST_FOR_EXCEPTION(numPacketsForTriples < 0, std::logic_error, prefix << "countPackTriples "
                                                                                       "returned numPacketsForTriples = "
                                                                                    << numPacketsForTriples << " < 0.");
    }
 
    numPackets = numPacketsForCount + numPacketsForTriples;
    return errCode;
  }
 
  void
  packRow(packet_type outBuf[],
          const int outBufSize,
          int& outBufCurPos,  // in/out argument
          const ::Teuchos::Comm<int>& comm,
          std::vector<GO>& gblRowInds,
          std::vector<GO>& gblColInds,
          std::vector<SC>& vals,
          const GO gblRow) const {
    using ::Tpetra::Details::packTriples;
    using ::Tpetra::Details::packTriplesCount;
    const char prefix[] = "Tpetra::Details::Impl::CooMatrixImpl::packRow: ";
 
    const GO minGO = std::numeric_limits<GO>::min();
    auto beg       = this->entries_.lower_bound({gblRow, minGO});
    auto end       = this->entries_.upper_bound({gblRow + 1, minGO});
 
    // This doesn't actually deallocate.  Only swapping with an empty
    // std::vector does that.
    gblRowInds.resize(0);
    gblColInds.resize(0);
    vals.resize(0);
 
    int numEnt = 0;
    for (auto iter = beg; iter != end; ++iter) {
      gblRowInds.push_back(iter->first.row);
      gblColInds.push_back(iter->first.col);
      vals.push_back(iter->second);
      ++numEnt;
      TEUCHOS_TEST_FOR_EXCEPTION(numEnt == std::numeric_limits<int>::max(), std::runtime_error, prefix << "In (global) row " << gblRow << ", the number of entries thus far, "
                                                                                                                                          "numEnt = "
                                                                                                       << numEnt << ", has reached the maximum int value.  "
                                                                                                                    "We need to store this count as int for MPI's sake.");
    }
 
    {
      const int errCode =
          packTriplesCount(numEnt, outBuf, outBufSize, outBufCurPos, comm);
      TEUCHOS_TEST_FOR_EXCEPTION(errCode != 0, std::runtime_error, prefix << "In (global) row " << gblRow << ", packTriplesCount returned "
                                                                                                             "errCode = "
                                                                          << errCode << " != 0.");
    }
    {
      const int errCode =
          packTriples(gblRowInds.data(),
                      gblColInds.data(),
                      vals.data(),
                      numEnt,
                      outBuf,
                      outBufSize,
                      outBufCurPos,  // in/out argument
                      comm);
      TEUCHOS_TEST_FOR_EXCEPTION(errCode != 0, std::runtime_error, prefix << "In (global) row " << gblRow << ", packTriples returned errCode = " << errCode << " != 0.");
    }
  }
 
  GO getMyGlobalRowIndices(std::vector<GO>& rowInds) const {
    rowInds.clear();
 
    GO lclMinRowInd = std::numeric_limits<GO>::max();  // compute local min
    for (typename entries_type::const_iterator iter = this->entries_.begin();
         iter != this->entries_.end(); ++iter) {
      const GO rowInd = iter->first.row;
      if (rowInd < lclMinRowInd) {
        lclMinRowInd = rowInd;
      }
      if (rowInds.empty() || rowInds.back() != rowInd) {
        rowInds.push_back(rowInd);  // don't insert duplicates
      }
    }
    return lclMinRowInd;
  }
 
  template <class OffsetType>
  void
  buildCrs(std::vector<OffsetType>& rowOffsets,
           GO gblColInds[],
           SC vals[]) const {
    static_assert(std::is_integral<OffsetType>::value,
                  "OffsetType must be a built-in integer type.");
 
    // clear() doesn't generally free storage; it just resets the
    // length.  Thus, we reuse any existing storage here.
    rowOffsets.clear();
 
    const std::size_t numEnt = this->getLclNumEntries();
    if (numEnt == 0) {
      rowOffsets.push_back(0);
    } else {
      typename entries_type::const_iterator iter = this->entries_.begin();
      GO prevGblRowInd                           = iter->first.row;
 
      OffsetType k = 0;
      for (; iter != this->entries_.end(); ++iter, ++k) {
        const GO gblRowInd = iter->first.row;
        if (k == 0 || gblRowInd != prevGblRowInd) {
          // The row offsets array always has at least one entry.  The
          // first entry is always zero, and the last entry is always
          // the number of matrix entries.
          rowOffsets.push_back(k);
          prevGblRowInd = gblRowInd;
        }
        gblColInds[k] = iter->first.col;
 
        static_assert(std::is_same<typename std::decay<decltype(iter->second)>::type, SC>::value,
                      "The type of iter->second != SC.");
        vals[k] = iter->second;
      }
      rowOffsets.push_back(static_cast<OffsetType>(numEnt));
    }
  }
 
  template <class OffsetType, class LO>
  void
  buildLocallyIndexedCrs(std::vector<OffsetType>& rowOffsets,
                         LO lclColInds[],
                         SC vals[],
                         std::function<LO(const GO)> gblToLcl) const {
    static_assert(std::is_integral<OffsetType>::value,
                  "OffsetType must be a built-in integer type.");
    static_assert(std::is_integral<LO>::value,
                  "LO must be a built-in integer type.");
 
    // clear() doesn't generally free storage; it just resets the
    // length.  Thus, we reuse any existing storage here.
    rowOffsets.clear();
 
    const std::size_t numEnt = this->getLclNumEntries();
    if (numEnt == 0) {
      rowOffsets.push_back(0);
    } else {
      typename entries_type::const_iterator iter = this->entries_.begin();
      GO prevGblRowInd                           = iter->first.row;
 
      OffsetType k = 0;
      for (; iter != this->entries_.end(); ++iter, ++k) {
        const GO gblRowInd = iter->first.row;
        if (k == 0 || gblRowInd != prevGblRowInd) {
          // The row offsets array always has at least one entry.  The
          // first entry is always zero, and the last entry is always
          // the number of matrix entries.
          rowOffsets.push_back(k);
          prevGblRowInd = gblRowInd;
        }
        lclColInds[k] = gblToLcl(iter->first.col);
        vals[k]       = iter->second;
      }
      rowOffsets.push_back(static_cast<OffsetType>(numEnt));
    }
  }
};
 
}  // namespace Impl
 
template <class SC,
          class LO = ::Tpetra::DistObject<char>::local_ordinal_type,
          class GO = ::Tpetra::DistObject<char>::global_ordinal_type,
          class NT = ::Tpetra::DistObject<char>::node_type>
class CooMatrix : public ::Tpetra::DistObject<char, LO, GO, NT> {
 public:
  typedef char packet_type;
  typedef SC scalar_type;
  typedef LO local_ordinal_type;
  typedef GO global_ordinal_type;
  typedef NT node_type;
  typedef typename NT::device_type device_type;
  typedef ::Tpetra::Map<local_ordinal_type, global_ordinal_type, node_type> map_type;
 
 private:
  typedef ::Tpetra::DistObject<packet_type, local_ordinal_type,
                               global_ordinal_type, node_type>
      base_type;
 
  Impl::CooMatrixImpl<SC, GO> impl_;
 
 public:
  CooMatrix()
    : base_type(::Teuchos::null)
    , localError_(new bool(false))
    , errs_(new std::shared_ptr<std::ostringstream>())  // ptr to a null ptr
  {}
 
  CooMatrix(const ::Teuchos::RCP<const map_type>& map)
    : base_type(map)
    , localError_(new bool(false))
    , errs_(new std::shared_ptr<std::ostringstream>())  // ptr to a null ptr
  {}
 
  virtual ~CooMatrix() {}
 
  void
  sumIntoGlobalValue(const GO gblRowInd,
                     const GO gblColInd,
                     const SC& val) {
    this->impl_.sumIntoGlobalValue(gblRowInd, gblColInd, val);
  }
 
  void
  sumIntoGlobalValues(const GO gblRowInds[],
                      const GO gblColInds[],
                      const SC vals[],
                      const std::size_t numEnt) {
    this->impl_.sumIntoGlobalValues(gblRowInds, gblColInds, vals, numEnt);
  }
 
  void
  sumIntoGlobalValues(std::initializer_list<GO> gblRowInds,
                      std::initializer_list<GO> gblColInds,
                      std::initializer_list<SC> vals,
                      const std::size_t numEnt) {
    this->impl_.sumIntoGlobalValues(gblRowInds.begin(), gblColInds.begin(),
                                    vals.begin(), numEnt);
  }
 
  std::size_t
  getLclNumEntries() const {
    return this->impl_.getLclNumEntries();
  }
 
  template <class OffsetType>
  void
  buildCrs(::Kokkos::View<OffsetType*, device_type>& rowOffsets,
           ::Kokkos::View<GO*, device_type>& gblColInds,
#if KOKKOS_VERSION >= 40799
           ::Kokkos::View<typename ::KokkosKernels::ArithTraits<SC>::val_type*, device_type>& vals) {
#else
           ::Kokkos::View<typename ::Kokkos::ArithTraits<SC>::val_type*, device_type>& vals) {
#endif
    static_assert(std::is_integral<OffsetType>::value,
                  "OffsetType must be a built-in integer type.");
    using ::Kokkos::create_mirror_view;
    using ::Kokkos::deep_copy;
    using ::Kokkos::View;
#if KOKKOS_VERSION >= 40799
    typedef typename ::KokkosKernels::ArithTraits<SC>::val_type ISC;
#else
    typedef typename ::Kokkos::ArithTraits<SC>::val_type ISC;
#endif
 
    const std::size_t numEnt = this->getLclNumEntries();
 
    gblColInds        = View<GO*, device_type>("gblColInds", numEnt);
    vals              = View<ISC*, device_type>("vals", numEnt);
    auto gblColInds_h = create_mirror_view(gblColInds);
    auto vals_h       = create_mirror_view(vals);
 
    std::vector<std::size_t> rowOffsetsSV;
    this->impl_.buildCrs(rowOffsetsSV,
                         gblColInds_h.data(),
                         vals_h.data());
    rowOffsets =
        View<OffsetType*, device_type>("rowOffsets", rowOffsetsSV.size());
    typename View<OffsetType*, device_type>::host_mirror_type
        rowOffsets_h(rowOffsetsSV.data(), rowOffsetsSV.size());
    deep_copy(rowOffsets, rowOffsets_h);
 
    deep_copy(gblColInds, gblColInds_h);
    deep_copy(vals, vals_h);
  }
 
  void
  fillComplete(const ::Teuchos::RCP<const ::Teuchos::Comm<int> >& comm) {
    if (comm.is_null()) {
      this->map_ = ::Teuchos::null;
    } else {
      this->map_ = this->buildMap(comm);
    }
  }
 
  void
  fillComplete() {
    TEUCHOS_TEST_FOR_EXCEPTION(this->getMap().is_null(), std::runtime_error,
                               "Tpetra::Details::"
                               "CooMatrix::fillComplete: This object does not yet have a Map.  "
                               "You must call the version of fillComplete "
                               "that takes an input communicator.");
    this->fillComplete(this->getMap()->getComm());
  }
 
  bool localError() const {
    return *localError_;
  }
 
  std::string errorMessages() const {
    return ((*errs_).get() == NULL) ? std::string("") : (*errs_)->str();
  }
 
 private:
  std::shared_ptr<bool> localError_;
 
  std::shared_ptr<std::shared_ptr<std::ostringstream> > errs_;
 
  std::ostream&
  markLocalErrorAndGetStream() {
    *(this->localError_) = true;
    if ((*errs_).get() == NULL) {
      *errs_ = std::shared_ptr<std::ostringstream>(new std::ostringstream());
    }
    return **errs_;
  }
 
 public:
  virtual std::string description() const {
    using Teuchos::TypeNameTraits;
 
    std::ostringstream os;
    os << "\"Tpetra::Details::CooMatrix\": {"
       << "SC: " << TypeNameTraits<SC>::name()
       << ", LO: " << TypeNameTraits<LO>::name()
       << ", GO: " << TypeNameTraits<GO>::name()
       << ", NT: " << TypeNameTraits<NT>::name();
    if (this->getObjectLabel() != "") {
      os << ", Label: \"" << this->getObjectLabel() << "\"";
    }
    os << ", Has Map: " << (this->map_.is_null() ? "false" : "true")
       << "}";
    return os.str();
  }
 
  virtual void
  describe(Teuchos::FancyOStream& out,
           const Teuchos::EVerbosityLevel verbLevel =
               Teuchos::Describable::verbLevel_default) const {
    using std::endl;
    using ::Teuchos::EVerbosityLevel;
    using ::Teuchos::OSTab;
    using ::Teuchos::TypeNameTraits;
    using ::Teuchos::VERB_DEFAULT;
    using ::Teuchos::VERB_LOW;
    using ::Teuchos::VERB_MEDIUM;
    using ::Tpetra::Details::gathervPrint;
 
    const auto vl = (verbLevel == VERB_DEFAULT) ? VERB_LOW : verbLevel;
 
    auto comm        = this->getMap().is_null() ? Teuchos::null : this->getMap()->getComm();
    const int myRank = comm.is_null() ? 0 : comm->getRank();
    // const int numProcs = comm.is_null () ? 1 : comm->getSize ();
 
    if (vl != Teuchos::VERB_NONE) {
      // Convention is to start describe() implementations with a tab.
      OSTab tab0(out);
      if (myRank == 0) {
        out << "\"Tpetra::Details::CooMatrix\":" << endl;
      }
      OSTab tab1(out);
      if (myRank == 0) {
        out << "Template parameters:" << endl;
        {
          OSTab tab2(out);
          out << "SC: " << TypeNameTraits<SC>::name() << endl
              << "LO: " << TypeNameTraits<LO>::name() << endl
              << "GO: " << TypeNameTraits<GO>::name() << endl
              << "NT: " << TypeNameTraits<NT>::name() << endl;
        }
        if (this->getObjectLabel() != "") {
          out << "Label: \"" << this->getObjectLabel() << "\"" << endl;
        }
        out << "Has Map: " << (this->map_.is_null() ? "false" : "true") << endl;
      }  // if myRank == 0
 
      // Describe the Map, if it exists.
      if (!this->map_.is_null()) {
        if (myRank == 0) {
          out << "Map:" << endl;
        }
        OSTab tab2(out);
        this->map_->describe(out, vl);
      }
 
      // At verbosity > VERB_LOW, each process prints something.
      if (vl > VERB_LOW) {
        std::ostringstream os;
        os << "Process " << myRank << ":" << endl;
        // OSTab tab3 (os);
 
        const std::size_t numEnt = this->impl_.getLclNumEntries();
        os << " Local number of entries: " << numEnt << endl;
        if (vl > VERB_MEDIUM) {
          os << " Local entries:" << endl;
          // OSTab tab4 (os);
          this->impl_.forAllEntries([&os](const GO row, const GO col, const SC& val) {
            os << "  {"
               << "row: " << row
               << ", col: " << col
               << ", val: " << val
               << "}" << endl;
          });
        }
        gathervPrint(out, os.str(), *comm);
      }
    }  // vl != Teuchos::VERB_NONE
  }
 
 private:
  Teuchos::RCP<const map_type>
  buildMap(const ::Teuchos::RCP<const ::Teuchos::Comm<int> >& comm) {
    using ::Teuchos::outArg;
    using ::Teuchos::rcp;
    using ::Teuchos::REDUCE_MIN;
    using ::Teuchos::reduceAll;
    typedef ::Tpetra::global_size_t GST;
    // const char prefix[] = "Tpetra::Details::CooMatrix::buildMap: ";
 
    // Processes where comm is null don't participate in the Map.
    if (comm.is_null()) {
      return ::Teuchos::null;
    }
 
    // mfh 17 Jan 2017: We just happen to use row indices, because
    // that's what Tpetra::CrsMatrix currently uses.  That's probably
    // not the best thing to use, but it's not bad for commonly
    // encountered matrices.  A better more general approach might be
    // to hash (row index, column index) pairs to a global index.  One
    // could make that unique by doing a parallel scan at map
    // construction time.
 
    std::vector<GO> rowInds;
    const GO lclMinGblRowInd = this->impl_.getMyGlobalRowIndices(rowInds);
 
    // Compute the globally min row index for the "index base."
    GO gblMinGblRowInd = 0;  // output argument
    reduceAll<int, GO>(*comm, REDUCE_MIN, lclMinGblRowInd,
                       outArg(gblMinGblRowInd));
    const GO indexBase = gblMinGblRowInd;
    const GST INV      = Tpetra::Details::OrdinalTraits<GST>::invalid();
    return rcp(new map_type(INV, rowInds.data(), rowInds.size(),
                            indexBase, comm));
  }
 
 protected:
  virtual size_t constantNumberOfPackets() const {
    return static_cast<size_t>(0);
  }
 
  virtual bool
  checkSizes(const ::Tpetra::SrcDistObject& source) {
    using std::endl;
    typedef CooMatrix<SC, LO, GO, NT> this_COO_type;
    const char prefix[] = "Tpetra::Details::CooMatrix::checkSizes: ";
 
    const this_COO_type* src = dynamic_cast<const this_COO_type*>(&source);
 
    if (src == NULL) {
      std::ostream& err = markLocalErrorAndGetStream();
      err << prefix << "The source object of the Import or Export "
                       "must be a CooMatrix with the same template parameters as the "
                       "target object."
          << endl;
    } else if (this->map_.is_null()) {
      std::ostream& err = markLocalErrorAndGetStream();
      err << prefix << "The target object of the Import or Export "
                       "must be a CooMatrix with a nonnull Map."
          << endl;
    }
    return !(*(this->localError_));
  }
 
  using buffer_device_type =
      typename ::Tpetra::DistObject<char, LO, GO, NT>::buffer_device_type;
 
  virtual void
  copyAndPermute(const ::Tpetra::SrcDistObject& sourceObject,
                 const size_t numSameIDs,
                 const Kokkos::DualView<const LO*,
                                        buffer_device_type>& permuteToLIDs,
                 const Kokkos::DualView<const LO*,
                                        buffer_device_type>& permuteFromLIDs,
                 const CombineMode /* CM */) {
    using std::endl;
    using this_COO_type = CooMatrix<SC, LO, GO, NT>;
    const char prefix[] = "Tpetra::Details::CooMatrix::copyAndPermute: ";
 
    // There's no communication in this method, so it's safe just to
    // return on error.
 
    if (*(this->localError_)) {
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << "The target object of the Import or Export is "
                       "already in an error state."
          << endl;
      return;
    }
 
    const this_COO_type* src = dynamic_cast<const this_COO_type*>(&sourceObject);
    if (src == nullptr) {
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << "Input argument 'sourceObject' is not a CooMatrix."
          << endl;
      return;
    }
 
    const size_t numPermuteIDs =
        static_cast<size_t>(permuteToLIDs.extent(0));
    if (numPermuteIDs != static_cast<size_t>(permuteFromLIDs.extent(0))) {
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << "permuteToLIDs.extent(0) = "
          << numPermuteIDs << " != permuteFromLIDs.extent(0) = "
          << permuteFromLIDs.extent(0) << "." << endl;
      return;
    }
    if (sizeof(int) <= sizeof(size_t) &&
        numPermuteIDs > static_cast<size_t>(std::numeric_limits<int>::max())) {
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << "numPermuteIDs = " << numPermuteIDs
          << ", a size_t, overflows int." << endl;
      return;
    }
 
    // Even though this is an std::set, we can start with numSameIDs
    // just by iterating through the first entries of the set.
 
    if (sizeof(int) <= sizeof(size_t) &&
        numSameIDs > static_cast<size_t>(std::numeric_limits<int>::max())) {
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << "numSameIDs = " << numSameIDs
          << ", a size_t, overflows int." << endl;
      return;
    }
 
    //
    // Copy in entries from any initial rows with the same global row indices.
    //
    const LO numSame = static_cast<int>(numSameIDs);
    // Count of local row indices encountered here with invalid global
    // row indices.  If nonzero, something went wrong.  If something
    // did go wrong, we'll defer responding until the end of this
    // method, so we can print as much useful info as possible.
    LO numInvalidSameRows = 0;
    for (LO lclRow = 0; lclRow < numSame; ++lclRow) {
      // All numSame initial rows have the same global index in both
      // source and target Maps, so we only need to convert to global
      // once.
      const GO gblRow = this->map_->getGlobalElement(lclRow);
      if (gblRow == ::Tpetra::Details::OrdinalTraits<GO>::invalid()) {
        ++numInvalidSameRows;
        continue;
      } else {
        this->impl_.mergeIntoRow(gblRow, src->impl_, gblRow);
      }
    }
 
    //
    // Copy in entries from remaining rows that are permutations, that
    // is, that live in both the source and target Maps, but aren't
    // included in the "same" list (see above).
    //
    const LO numPermute = static_cast<int>(numPermuteIDs);
    // Count of local "from" row indices encountered here with invalid
    // global row indices.  If nonzero, something went wrong.  If
    // something did go wrong, we'll defer responding until the end of
    // this method, so we can print as much useful info as possible.
    LO numInvalidRowsFrom = 0;
    // Count of local "to" row indices encountered here with invalid
    // global row indices.  If nonzero, something went wrong.  If
    // something did go wrong, we'll defer responding until the end of
    // this method, so we can print as much useful info as possible.
    LO numInvalidRowsTo = 0;
 
    TEUCHOS_ASSERT(!permuteFromLIDs.need_sync_host());
    TEUCHOS_ASSERT(!permuteToLIDs.need_sync_host());
    auto permuteFromLIDs_h = permuteFromLIDs.view_host();
    auto permuteToLIDs_h   = permuteToLIDs.view_host();
 
    for (LO k = 0; k < numPermute; ++k) {
      const LO lclRowFrom = permuteFromLIDs_h[k];
      const LO lclRowTo   = permuteToLIDs_h[k];
      const GO gblRowFrom = src->map_->getGlobalElement(lclRowFrom);
      const GO gblRowTo   = this->map_->getGlobalElement(lclRowTo);
 
      bool bothConversionsValid = true;
      if (gblRowFrom == ::Tpetra::Details::OrdinalTraits<GO>::invalid()) {
        ++numInvalidRowsFrom;
        bothConversionsValid = false;
      }
      if (gblRowTo == ::Tpetra::Details::OrdinalTraits<GO>::invalid()) {
        ++numInvalidRowsTo;
        bothConversionsValid = false;
      }
      if (bothConversionsValid) {
        this->impl_.mergeIntoRow(gblRowTo, src->impl_, gblRowFrom);
      }
    }
 
    // Print info if any errors occurred.
    if (numInvalidSameRows != 0 || numInvalidRowsFrom != 0 ||
        numInvalidRowsTo != 0) {
      // Collect and print all the invalid input row indices, for the
      // "same," "from," and "to" lists.
      std::vector<std::pair<LO, GO> > invalidSameRows;
      invalidSameRows.reserve(numInvalidSameRows);
      std::vector<std::pair<LO, GO> > invalidRowsFrom;
      invalidRowsFrom.reserve(numInvalidRowsFrom);
      std::vector<std::pair<LO, GO> > invalidRowsTo;
      invalidRowsTo.reserve(numInvalidRowsTo);
 
      for (LO lclRow = 0; lclRow < numSame; ++lclRow) {
        // All numSame initial rows have the same global index in both
        // source and target Maps, so we only need to convert to global
        // once.
        const GO gblRow = this->map_->getGlobalElement(lclRow);
        if (gblRow == ::Tpetra::Details::OrdinalTraits<GO>::invalid()) {
          invalidSameRows.push_back({lclRow, gblRow});
        }
      }
 
      for (LO k = 0; k < numPermute; ++k) {
        const LO lclRowFrom = permuteFromLIDs_h[k];
        const LO lclRowTo   = permuteToLIDs_h[k];
        const GO gblRowFrom = src->map_->getGlobalElement(lclRowFrom);
        const GO gblRowTo   = this->map_->getGlobalElement(lclRowTo);
 
        if (gblRowFrom == ::Tpetra::Details::OrdinalTraits<GO>::invalid()) {
          invalidRowsFrom.push_back({lclRowFrom, gblRowFrom});
        }
        if (gblRowTo == ::Tpetra::Details::OrdinalTraits<GO>::invalid()) {
          invalidRowsTo.push_back({lclRowTo, gblRowTo});
        }
      }
 
      std::ostringstream os;
      if (numInvalidSameRows != 0) {
        os << "Invalid permute \"same\" (local, global) index pairs: [";
        for (std::size_t k = 0; k < invalidSameRows.size(); ++k) {
          const auto& p = invalidSameRows[k];
          os << "(" << p.first << "," << p.second << ")";
          if (k + 1 < invalidSameRows.size()) {
            os << ", ";
          }
        }
        os << "]" << std::endl;
      }
      if (numInvalidRowsFrom != 0) {
        os << "Invalid permute \"from\" (local, global) index pairs: [";
        for (std::size_t k = 0; k < invalidRowsFrom.size(); ++k) {
          const auto& p = invalidRowsFrom[k];
          os << "(" << p.first << "," << p.second << ")";
          if (k + 1 < invalidRowsFrom.size()) {
            os << ", ";
          }
        }
        os << "]" << std::endl;
      }
      if (numInvalidRowsTo != 0) {
        os << "Invalid permute \"to\" (local, global) index pairs: [";
        for (std::size_t k = 0; k < invalidRowsTo.size(); ++k) {
          const auto& p = invalidRowsTo[k];
          os << "(" << p.first << "," << p.second << ")";
          if (k + 1 < invalidRowsTo.size()) {
            os << ", ";
          }
        }
        os << "]" << std::endl;
      }
 
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << os.str();
      return;
    }
  }
 
  virtual void
  packAndPrepare(const ::Tpetra::SrcDistObject& sourceObject,
                 const Kokkos::DualView<const local_ordinal_type*,
                                        buffer_device_type>& exportLIDs,
                 Kokkos::DualView<packet_type*,
                                  buffer_device_type>& exports,
                 Kokkos::DualView<size_t*,
                                  buffer_device_type>
                     numPacketsPerLID,
                 size_t& constantNumPackets) {
    using std::endl;
    using Teuchos::Comm;
    using Teuchos::RCP;
    using this_COO_type = CooMatrix<SC, LO, GO, NT>;
    const char prefix[] = "Tpetra::Details::CooMatrix::packAndPrepare: ";
    const char suffix[] =
        "  This should never happen.  "
        "Please report this bug to the Tpetra developers.";
 
    // Tell the caller that different rows may have different numbers
    // of matrix entries.
    constantNumPackets = 0;
 
    const this_COO_type* src = dynamic_cast<const this_COO_type*>(&sourceObject);
    if (src == nullptr) {
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << "Input argument 'sourceObject' is not a CooMatrix."
          << endl;
    } else if (*(src->localError_)) {
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << "The source (input) object of the Import or Export "
                       "is already in an error state on this process."
          << endl;
    } else if (*(this->localError_)) {
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << "The target (output, \"this\") object of the Import "
                       "or Export is already in an error state on this process."
          << endl;
    }
    // Respond to detected error(s) by resizing 'exports' to zero (so
    // we won't be tempted to read it later), and filling
    // numPacketsPerLID with zeros.
    if (*(this->localError_)) {
      // Resize 'exports' to zero, so we won't be tempted to read it.
      Details::reallocDualViewIfNeeded(exports, 0, "CooMatrix exports");
      // Trick to get around const DualView& being const.
      {
        auto numPacketsPerLID_tmp = numPacketsPerLID;
        numPacketsPerLID_tmp.sync_host();
        numPacketsPerLID_tmp.modify_host();
      }
      // Fill numPacketsPerLID with zeros.
      Kokkos::deep_copy(numPacketsPerLID.view_host(), static_cast<size_t>(0));
      return;
    }
 
    const size_t numExports = exportLIDs.extent(0);
    if (numExports == 0) {
      Details::reallocDualViewIfNeeded(exports, 0, exports.view_host().label());
      return;  // nothing to send
    }
    RCP<const Comm<int> > comm = src->getMap().is_null() ? Teuchos::null : src->getMap()->getComm();
    if (comm.is_null() || comm->getSize() == 1) {
      if (numExports != static_cast<size_t>(0)) {
        std::ostream& err = this->markLocalErrorAndGetStream();
        err << prefix << "The input communicator is either null or "
                         "has only one process, but numExports = "
            << numExports << " != 0."
            << suffix << endl;
        return;
      }
      // Don't go into the rest of this method unless there are
      // actually processes other than the calling process.  This is
      // because the pack and unpack functions only have nonstub
      // implementations if building with MPI.
      return;
    }
 
    numPacketsPerLID.sync_host();
    numPacketsPerLID.modify_host();
 
    TEUCHOS_ASSERT(!exportLIDs.need_sync_host());
    auto exportLIDs_h = exportLIDs.view_host();
 
    int totalNumPackets      = 0;
    size_t numInvalidRowInds = 0;
    std::ostringstream errStrm;  // current loop iteration's error messages
    for (size_t k = 0; k < numExports; ++k) {
      const LO lclRow = exportLIDs_h[k];
      // We're packing the source object's data, so we need to use the
      // source object's Map to convert from local to global indices.
      const GO gblRow = src->map_->getGlobalElement(lclRow);
      if (gblRow == ::Tpetra::Details::OrdinalTraits<GO>::invalid()) {
        // Mark the error later; just count for now.
        ++numInvalidRowInds;
        numPacketsPerLID.view_host()[k] = 0;
        continue;
      }
 
      // Count the number of bytes needed to pack the current row of
      // the source object.
      int numPackets = 0;
      const int errCode =
          src->impl_.countPackRow(numPackets, gblRow, *comm, &errStrm);
      if (errCode != 0) {
        std::ostream& err = this->markLocalErrorAndGetStream();
        err << prefix << errStrm.str() << endl;
        numPacketsPerLID.view_host()[k] = 0;
        continue;
      }
 
      // Make sure that the total number of packets fits in int.
      // MPI requires this.
      const long long newTotalNumPackets =
          static_cast<long long>(totalNumPackets) +
          static_cast<long long>(numPackets);
      if (newTotalNumPackets >
          static_cast<long long>(std::numeric_limits<int>::max())) {
        std::ostream& err = this->markLocalErrorAndGetStream();
        err << prefix << "The new total number of packets "
            << newTotalNumPackets << " does not fit in int." << endl;
        // At this point, we definitely cannot continue.  In order to
        // leave the output arguments in a rational state, we zero out
        // all remaining entries of numPacketsPerLID before returning.
        for (size_t k2 = k; k2 < numExports; ++k2) {
          numPacketsPerLID.view_host()[k2] = 0;
        }
        return;
      }
      numPacketsPerLID.view_host()[k] = static_cast<size_t>(numPackets);
      totalNumPackets                 = static_cast<int>(newTotalNumPackets);
    }
 
    // If we found invalid row indices in exportLIDs, go back,
    // collect, and report them.
    if (numInvalidRowInds != 0) {
      std::vector<std::pair<LO, GO> > invalidRowInds;
      for (size_t k = 0; k < numExports; ++k) {
        const LO lclRow = exportLIDs_h[k];
        // We're packing the source object's data, so we need to use
        // the source object's Map to convert from local to global
        // indices.
        const GO gblRow = src->map_->getGlobalElement(lclRow);
        if (gblRow == ::Tpetra::Details::OrdinalTraits<GO>::invalid()) {
          invalidRowInds.push_back({lclRow, gblRow});
        }
      }
      std::ostringstream os;
      os << prefix << "We found " << numInvalidRowInds << " invalid row ind"
         << (numInvalidRowInds != static_cast<size_t>(1) ? "ices" : "ex")
         << " out of " << numExports << " in exportLIDs.  Here is the list "
         << " of invalid row indices: [";
      for (size_t k = 0; k < invalidRowInds.size(); ++k) {
        os << "(LID: " << invalidRowInds[k].first << ", GID: "
           << invalidRowInds[k].second << ")";
        if (k + 1 < invalidRowInds.size()) {
          os << ", ";
        }
      }
      os << "].";
 
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << os.str() << std::endl;
      return;
    }
 
    {
      const bool reallocated =
          Details::reallocDualViewIfNeeded(exports, totalNumPackets,
                                           "CooMatrix exports");
      if (reallocated) {
        exports.sync_host();  // make sure alloc'd on host
      }
    }
    exports.modify_host();
 
    // FIXME (mfh 17 Jan 2017) packTriples wants three arrays, not a
    // single array of structs.  For now, we just copy.
    std::vector<GO> gblRowInds;
    std::vector<GO> gblColInds;
    std::vector<SC> vals;
 
    int outBufCurPos    = 0;
    packet_type* outBuf = exports.view_host().data();
    for (size_t k = 0; k < numExports; ++k) {
      const LO lclRow = exportLIDs.view_host()[k];
      // We're packing the source object's data, so we need to use the
      // source object's Map to convert from local to global indices.
      const GO gblRow = src->map_->getGlobalElement(lclRow);
      // Pack the current row of the source object.
      src->impl_.packRow(outBuf, totalNumPackets, outBufCurPos, *comm,
                         gblRowInds, gblColInds, vals, gblRow);
    }
  }
 
  virtual void
  unpackAndCombine(const Kokkos::DualView<const local_ordinal_type*,
                                          buffer_device_type>& importLIDs,
                   Kokkos::DualView<packet_type*,
                                    buffer_device_type>
                       imports,
                   Kokkos::DualView<size_t*,
                                    buffer_device_type>
                       numPacketsPerLID,
                   const size_t /* constantNumPackets */,
                   const ::Tpetra::CombineMode /* combineMode */) {
    using std::endl;
    using Teuchos::Comm;
    using Teuchos::RCP;
    const char prefix[] = "Tpetra::Details::CooMatrix::unpackAndCombine: ";
    const char suffix[] =
        "  This should never happen.  "
        "Please report this bug to the Tpetra developers.";
 
    TEUCHOS_ASSERT(!importLIDs.need_sync_host());
    auto importLIDs_h = importLIDs.view_host();
 
    const std::size_t numImports = importLIDs.extent(0);
    if (numImports == 0) {
      return;  // nothing to receive
    } else if (imports.extent(0) == 0) {
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << "importLIDs.extent(0) = " << numImports << " != 0, "
          << "but imports.extent(0) = 0.  This doesn't make sense, because "
          << "for every incoming LID, CooMatrix packs at least the count of "
          << "triples associated with that LID, even if the count is zero.  "
          << "importLIDs = [";
      for (std::size_t k = 0; k < numImports; ++k) {
        err << importLIDs_h[k];
        if (k + 1 < numImports) {
          err << ", ";
        }
      }
      err << "].  " << suffix << endl;
      return;
    }
 
    RCP<const Comm<int> > comm = this->getMap().is_null() ? Teuchos::null : this->getMap()->getComm();
    if (comm.is_null() || comm->getSize() == 1) {
      if (numImports != static_cast<size_t>(0)) {
        std::ostream& err = this->markLocalErrorAndGetStream();
        err << prefix << "The input communicator is either null or "
                         "has only one process, but numImports = "
            << numImports << " != 0."
            << suffix << endl;
        return;
      }
      // Don't go into the rest of this method unless there are
      // actually processes other than the calling process.  This is
      // because the pack and unpack functions only have nonstub
      // implementations if building with MPI.
      return;
    }
 
    // Make sure that the length of 'imports' fits in int.
    // This is ultimately an MPI restriction.
    if (static_cast<size_t>(imports.extent(0)) >
        static_cast<size_t>(std::numeric_limits<int>::max())) {
      std::ostream& err = this->markLocalErrorAndGetStream();
      err << prefix << "imports.extent(0) = "
          << imports.extent(0) << " does not fit in int." << endl;
      return;
    }
    const int inBufSize = static_cast<int>(imports.extent(0));
 
    if (imports.need_sync_host()) {
      imports.sync_host();
    }
    if (numPacketsPerLID.need_sync_host()) {
      numPacketsPerLID.sync_host();
    }
    auto imports_h          = imports.view_host();
    auto numPacketsPerLID_h = numPacketsPerLID.view_host();
 
    // FIXME (mfh 17,24 Jan 2017) packTriples wants three arrays, not a
    // single array of structs.  For now, we just copy.
    std::vector<GO> gblRowInds;
    std::vector<GO> gblColInds;
    std::vector<SC> vals;
 
    const packet_type* inBuf = imports_h.data();
    int inBufCurPos          = 0;
    size_t numInvalidRowInds = 0;
    int errCode              = 0;
    std::ostringstream errStrm;  // for unpack* error output.
    for (size_t k = 0; k < numImports; ++k) {
      const LO lclRow = importLIDs_h(k);
      const GO gblRow = this->map_->getGlobalElement(lclRow);
      if (gblRow == ::Tpetra::Details::OrdinalTraits<GO>::invalid()) {
        ++numInvalidRowInds;
        continue;
      }
 
      // Remember where we were, so we don't overrun the buffer
      // length.  inBufCurPos is an in/out argument of unpackTriples*.
      const int origInBufCurPos = inBufCurPos;
 
      int numEnt = 0;  // output argument of unpackTriplesCount
      errCode    = unpackTriplesCount(inBuf, inBufSize, inBufCurPos,
                                      numEnt, *comm, &errStrm);
      if (errCode != 0 || numEnt < 0 || inBufCurPos < origInBufCurPos) {
        std::ostream& err = this->markLocalErrorAndGetStream();
 
        err << prefix << "In unpack loop, k=" << k << ": ";
        if (errCode != 0) {
          err << "  unpackTriplesCount returned errCode = " << errCode
              << " != 0." << endl;
        }
        if (numEnt < 0) {
          err << "  unpackTriplesCount returned errCode = 0, but numEnt = "
              << numEnt << " < 0." << endl;
        }
        if (inBufCurPos < origInBufCurPos) {
          err << "  After unpackTriplesCount, inBufCurPos = " << inBufCurPos
              << " < origInBufCurPos = " << origInBufCurPos << "." << endl;
        }
        err << "  unpackTriplesCount report: " << errStrm.str() << endl;
        err << suffix << endl;
 
        // We only continue in a debug build, because the above error
        // messages could consume too much memory and cause an
        // out-of-memory error, without actually printing.  Printing
        // everything is useful in a debug build, but not so much in a
        // release build.
#ifdef HAVE_TPETRA_DEBUG
        // Clear out the current error stream, so we don't accumulate
        // over loop iterations.
        errStrm.str("");
        continue;
#else
        return;
#endif  // HAVE_TPETRA_DEBUG
      }
 
      // FIXME (mfh 17,24 Jan 2017) packTriples wants three arrays,
      // not a single array of structs.  For now, we just copy.
      gblRowInds.resize(numEnt);
      gblColInds.resize(numEnt);
      vals.resize(numEnt);
 
      errCode = unpackTriples(inBuf, inBufSize, inBufCurPos,
                              gblRowInds.data(), gblColInds.data(),
                              vals.data(), numEnt, *comm, &errStrm);
      if (errCode != 0) {
        std::ostream& err = this->markLocalErrorAndGetStream();
        err << prefix << "unpackTriples returned errCode = "
            << errCode << " != 0.  It reports: " << errStrm.str()
            << endl;
        // We only continue in a debug build, because the above error
        // messages could consume too much memory and cause an
        // out-of-memory error, without actually printing.  Printing
        // everything is useful in a debug build, but not so much in a
        // release build.
#ifdef HAVE_TPETRA_DEBUG
        // Clear out the current error stream, so we don't accumulate
        // over loop iterations.
        errStrm.str("");
        continue;
#else
        return;
#endif  // HAVE_TPETRA_DEBUG
      }
      this->sumIntoGlobalValues(gblRowInds.data(), gblColInds.data(),
                                vals.data(), numEnt);
    }
 
    // If we found invalid row indices in exportLIDs, go back,
    // collect, and report them.
    if (numInvalidRowInds != 0) {
      // Mark the error now, before we possibly run out of memory.
      // The latter could raise an exception (e.g., std::bad_alloc),
      // but at least we would get the error state right.
      std::ostream& err = this->markLocalErrorAndGetStream();
 
      std::vector<std::pair<LO, GO> > invalidRowInds;
      for (size_t k = 0; k < numImports; ++k) {
        const LO lclRow = importLIDs_h(k);
        const GO gblRow = this->map_->getGlobalElement(lclRow);
        if (gblRow == ::Tpetra::Details::OrdinalTraits<GO>::invalid()) {
          invalidRowInds.push_back({lclRow, gblRow});
        }
      }
 
      err << prefix << "We found " << numInvalidRowInds << " invalid row ind"
          << (numInvalidRowInds != static_cast<size_t>(1) ? "ices" : "ex")
          << " out of " << numImports << " in importLIDs.  Here is the list "
          << " of invalid row indices: [";
      for (size_t k = 0; k < invalidRowInds.size(); ++k) {
        err << "(LID: " << invalidRowInds[k].first << ", GID: "
            << invalidRowInds[k].second << ")";
        if (k + 1 < invalidRowInds.size()) {
          err << ", ";
        }
      }
      err << "].";
      return;
    }
  }
};
 
}  // namespace Details
}  // namespace Tpetra
 
#endif  // TPETRA_DETAILS_COOMATRIX_HPP