Ifpack2_LocalSparseTriangularSolver_def.hpp

// @HEADER
// *****************************************************************************
//       Ifpack2: Templated Object-Oriented Algebraic Preconditioner Package
//
// Copyright 2009 NTESS and the Ifpack2 contributors.
// SPDX-License-Identifier: BSD-3-Clause
// *****************************************************************************
// @HEADER
 
#ifndef IFPACK2_LOCALSPARSETRIANGULARSOLVER_DEF_HPP
#define IFPACK2_LOCALSPARSETRIANGULARSOLVER_DEF_HPP
 
#include <sstream>    // ostringstream
#include <stdexcept>  // runtime_error
 
#include "Ifpack2_LocalSparseTriangularSolver_decl.hpp"
#include "Tpetra_CrsMatrix.hpp"
#include "Tpetra_Core.hpp"
#include "Teuchos_StandardParameterEntryValidators.hpp"
#include "Tpetra_Details_determineLocalTriangularStructure.hpp"
#include "KokkosSparse_trsv.hpp"
 
#ifdef HAVE_IFPACK2_SHYLU_NODEHTS
#include "shylu_hts.hpp"
#endif
 
namespace Ifpack2 {
 
namespace Details {
 
#if defined(KOKKOSKERNELS_ENABLE_TPL_CUSPARSE) && defined(KOKKOS_ENABLE_CUDA)
 
inline void cusparse_error_throw(cusparseStatus_t cusparseStatus, const char* name,
                                 const char* file, const int line) {
  std::ostringstream out;
#if defined(CUSPARSE_VERSION) && (10300 <= CUSPARSE_VERSION)
  out << name << " error( " << cusparseGetErrorName(cusparseStatus) << "): " << cusparseGetErrorString(cusparseStatus);
#else
  out << name << " error( ";
  switch (cusparseStatus) {
    case CUSPARSE_STATUS_NOT_INITIALIZED:
      out << "CUSPARSE_STATUS_NOT_INITIALIZED): cusparse handle was not "
             "created correctly.";
      break;
    case CUSPARSE_STATUS_ALLOC_FAILED:
      out << "CUSPARSE_STATUS_ALLOC_FAILED): you might tried to allocate too "
             "much memory";
      break;
    case CUSPARSE_STATUS_INVALID_VALUE: out << "CUSPARSE_STATUS_INVALID_VALUE)"; break;
    case CUSPARSE_STATUS_ARCH_MISMATCH: out << "CUSPARSE_STATUS_ARCH_MISMATCH)"; break;
    case CUSPARSE_STATUS_MAPPING_ERROR: out << "CUSPARSE_STATUS_MAPPING_ERROR)"; break;
    case CUSPARSE_STATUS_EXECUTION_FAILED: out << "CUSPARSE_STATUS_EXECUTION_FAILED)"; break;
    case CUSPARSE_STATUS_INTERNAL_ERROR: out << "CUSPARSE_STATUS_INTERNAL_ERROR)"; break;
    case CUSPARSE_STATUS_MATRIX_TYPE_NOT_SUPPORTED: out << "CUSPARSE_STATUS_MATRIX_TYPE_NOT_SUPPORTED)"; break;
    case CUSPARSE_STATUS_ZERO_PIVOT: out << "CUSPARSE_STATUS_ZERO_PIVOT)"; break;
    default: out << "unrecognized error code): this is bad!"; break;
  }
#endif  // CUSPARSE_VERSION
  if (file) {
    out << " " << file << ":" << line;
  }
  throw std::runtime_error(out.str());
}
 
inline void cusparse_safe_call(cusparseStatus_t cusparseStatus, const char* name, const char* file = nullptr,
                               const int line = 0) {
  if (CUSPARSE_STATUS_SUCCESS != cusparseStatus) {
    cusparse_error_throw(cusparseStatus, name, file, line);
  }
}
 
#define IFPACK2_DETAILS_CUSPARSE_SAFE_CALL(call) \
  Ifpack2::Details::cusparse_safe_call(call, #call, __FILE__, __LINE__)
 
#endif  // defined(KOKKOSKERNELS_ENABLE_TPL_CUSPARSE) && defined(KOKKOS_ENABLE_CUDA)
 
struct TrisolverType {
  enum Enum {
    Internal,  
    HTS,       
    KSPTRSV    
  };
 
  static void loadPLTypeOption(Teuchos::Array<std::string>& type_strs, Teuchos::Array<Enum>& type_enums) {
    type_strs.resize(3);
    type_strs[0] = "Internal";
    type_strs[1] = "HTS";
    type_strs[2] = "KSPTRSV";
    type_enums.resize(3);
    type_enums[0] = Internal;
    type_enums[1] = HTS;
    type_enums[2] = KSPTRSV;
  }
};
}  // namespace Details
 
template <class MatrixType>
class LocalSparseTriangularSolver<MatrixType>::HtsImpl {
 public:
  typedef Tpetra::CrsMatrix<scalar_type, local_ordinal_type, global_ordinal_type, node_type> crs_matrix_type;
 
  void reset() {
#ifdef HAVE_IFPACK2_SHYLU_NODEHTS
    Timpl_               = Teuchos::null;
    levelset_block_size_ = 1;
#endif
  }
 
  void setParameters(const Teuchos::ParameterList& pl) {
    (void)pl;
#ifdef HAVE_IFPACK2_SHYLU_NODEHTS
    const char* block_size_s = "trisolver: block size";
    if (pl.isParameter(block_size_s)) {
      TEUCHOS_TEST_FOR_EXCEPT_MSG(!pl.isType<int>(block_size_s),
                                  "The parameter \"" << block_size_s << "\" must be of type int.");
      levelset_block_size_ = pl.get<int>(block_size_s);
    }
    if (levelset_block_size_ < 1)
      levelset_block_size_ = 1;
#endif
  }
 
  // HTS has the phases symbolic+numeric, numeric, and apply. Hence the first
  // call to compute() will trigger the symbolic+numeric phase, and subsequent
  // calls (with the same Timpl_) will trigger the numeric phase. In the call to
  // initialize(), essentially nothing happens.
  void initialize(const crs_matrix_type& /* unused */) {
#ifdef HAVE_IFPACK2_SHYLU_NODEHTS
    reset();
    transpose_ = conjugate_ = false;
#endif
  }
 
  void compute(const crs_matrix_type& T_in, const Teuchos::RCP<Teuchos::FancyOStream>& out) {
    (void)T_in;
    (void)out;
#ifdef HAVE_IFPACK2_SHYLU_NODEHTS
    using Teuchos::ArrayRCP;
 
    auto rowptr = T_in.getLocalRowPtrsHost();
    auto colidx = T_in.getLocalIndicesHost();
    auto val    = T_in.getLocalValuesHost(Tpetra::Access::ReadOnly);
    Kokkos::fence();
 
    Teuchos::RCP<HtsCrsMatrix> T_hts = Teuchos::rcpWithDealloc(
        HTST::make_CrsMatrix(rowptr.size() - 1,
                             rowptr.data(), colidx.data(),
                             // For std/Kokkos::complex.
                             reinterpret_cast<const scalar_type*>(val.data()),
                             transpose_, conjugate_),
        HtsCrsMatrixDeleter());
 
    if (Teuchos::nonnull(Timpl_)) {
      // Reuse the nonzero pattern.
      HTST::reprocess_numeric(Timpl_.get(), T_hts.get());
    } else {
      // Build from scratch.
      if (T_in.getCrsGraph().is_null()) {
        if (Teuchos::nonnull(out))
          *out << "HTS compute failed because T_in.getCrsGraph().is_null().\n";
        return;
      }
      if (!T_in.getCrsGraph()->isSorted()) {
        if (Teuchos::nonnull(out))
          *out << "HTS compute failed because ! T_in.getCrsGraph().isSorted().\n";
        return;
      }
      if (!T_in.isStorageOptimized()) {
        if (Teuchos::nonnull(out))
          *out << "HTS compute failed because ! T_in.isStorageOptimized().\n";
        return;
      }
 
      typename HTST::PreprocessArgs args;
      args.T        = T_hts.get();
      args.max_nrhs = 1;
#ifdef _OPENMP
      args.nthreads = omp_get_max_threads();
#else
      args.nthreads = 1;
#endif
      args.save_for_reprocess = true;
      typename HTST::Options opts;
      opts.levelset_block_size = levelset_block_size_;
      args.options             = &opts;
 
      try {
        Timpl_ = Teuchos::rcpWithDealloc(HTST::preprocess(args), TImplDeleter());
      } catch (const std::exception& e) {
        if (Teuchos::nonnull(out))
          *out << "HTS preprocess threw: " << e.what() << "\n";
      }
    }
#endif
  }
 
  // HTS may not be able to handle a matrix, so query whether compute()
  // succeeded.
  bool isComputed() {
#ifdef HAVE_IFPACK2_SHYLU_NODEHTS
    return Teuchos::nonnull(Timpl_);
#else
    return false;
#endif
  }
 
  // Y := beta * Y + alpha * (M * X)
  void localApply(const MV& X, MV& Y,
                  const Teuchos::ETransp /* mode */,
                  const scalar_type& alpha, const scalar_type& beta) const {
    (void)X;
    (void)Y;
    (void)alpha;
    (void)beta;
#ifdef HAVE_IFPACK2_SHYLU_NODEHTS
    const auto& X_view = X.getLocalViewHost(Tpetra::Access::ReadOnly);
    const auto& Y_view = Y.getLocalViewHost(Tpetra::Access::ReadWrite);
 
    // Only does something if #rhs > current capacity.
    HTST::reset_max_nrhs(Timpl_.get(), X_view.extent(1));
    // Switch alpha and beta because of HTS's opposite convention.
    HTST::solve_omp(Timpl_.get(),
                    // For std/Kokkos::complex.
                    reinterpret_cast<const scalar_type*>(X_view.data()),
                    X_view.extent(1),
                    // For std/Kokkos::complex.
                    reinterpret_cast<scalar_type*>(Y_view.data()),
                    beta, alpha);
#endif
  }
 
 private:
#ifdef HAVE_IFPACK2_SHYLU_NODEHTS
  typedef ::Experimental::HTS<local_ordinal_type, size_t, scalar_type> HTST;
  typedef typename HTST::Impl TImpl;
  typedef typename HTST::CrsMatrix HtsCrsMatrix;
 
  struct TImplDeleter {
    void free(TImpl* impl) {
      HTST::delete_Impl(impl);
    }
  };
 
  struct HtsCrsMatrixDeleter {
    void free(HtsCrsMatrix* T) {
      HTST::delete_CrsMatrix(T);
    }
  };
 
  Teuchos::RCP<TImpl> Timpl_;
  bool transpose_, conjugate_;
  int levelset_block_size_;
#endif
};
 
template <class MatrixType>
LocalSparseTriangularSolver<MatrixType>::
    LocalSparseTriangularSolver(const Teuchos::RCP<const row_matrix_type>& A)
  : A_(A) {
  initializeState();
 
  if (!A.is_null()) {
    Teuchos::RCP<const crs_matrix_type> A_crs =
        Teuchos::rcp_dynamic_cast<const crs_matrix_type>(A);
    TEUCHOS_TEST_FOR_EXCEPTION(A_crs.is_null(), std::invalid_argument,
                               "Ifpack2::LocalSparseTriangularSolver constructor: "
                               "The input matrix A is not a Tpetra::CrsMatrix.");
    A_crs_ = A_crs;
  }
}
 
template <class MatrixType>
LocalSparseTriangularSolver<MatrixType>::
    LocalSparseTriangularSolver(const Teuchos::RCP<const row_matrix_type>& A,
                                const Teuchos::RCP<Teuchos::FancyOStream>& out)
  : A_(A)
  , out_(out) {
  initializeState();
  if (!out_.is_null()) {
    *out_ << ">>> DEBUG Ifpack2::LocalSparseTriangularSolver constructor"
          << std::endl;
  }
 
  if (!A.is_null()) {
    Teuchos::RCP<const crs_matrix_type> A_crs =
        Teuchos::rcp_dynamic_cast<const crs_matrix_type>(A);
    TEUCHOS_TEST_FOR_EXCEPTION(A_crs.is_null(), std::invalid_argument,
                               "Ifpack2::LocalSparseTriangularSolver constructor: "
                               "The input matrix A is not a Tpetra::CrsMatrix.");
    A_crs_ = A_crs;
  }
}
 
template <class MatrixType>
LocalSparseTriangularSolver<MatrixType>::
    LocalSparseTriangularSolver() {
  initializeState();
}
 
template <class MatrixType>
LocalSparseTriangularSolver<MatrixType>::
    LocalSparseTriangularSolver(const bool /* unused */, const Teuchos::RCP<Teuchos::FancyOStream>& out)
  : out_(out) {
  initializeState();
  if (!out_.is_null()) {
    *out_ << ">>> DEBUG Ifpack2::LocalSparseTriangularSolver constructor"
          << std::endl;
  }
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::initializeState() {
  isInitialized_         = false;
  isComputed_            = false;
  reverseStorage_        = false;
  isInternallyChanged_   = false;
  numInitialize_         = 0;
  numCompute_            = 0;
  numApply_              = 0;
  initializeTime_        = 0.0;
  computeTime_           = 0.0;
  applyTime_             = 0.0;
  isKokkosKernelsSptrsv_ = false;
  isKokkosKernelsStream_ = false;
  num_streams_           = 0;
  uplo_                  = "N";
  diag_                  = "N";
}
 
template <class MatrixType>
LocalSparseTriangularSolver<MatrixType>::
    ~LocalSparseTriangularSolver() {
  if (!isKokkosKernelsStream_) {
    if (Teuchos::nonnull(kh_)) {
      kh_->destroy_sptrsv_handle();
    }
  } else {
    for (size_t i = 0; i < kh_v_.size(); i++) {
      if (Teuchos::nonnull(kh_v_[i])) {
        kh_v_[i]->destroy_sptrsv_handle();
      }
    }
  }
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::
    setParameters(const Teuchos::ParameterList& pl) {
  using Teuchos::Array;
  using Teuchos::ParameterList;
  using Teuchos::RCP;
 
  Details::TrisolverType::Enum trisolverType = Details::TrisolverType::Internal;
  do {
    static const char typeName[] = "trisolver: type";
 
    if (!pl.isType<std::string>(typeName)) break;
 
    // Map std::string <-> TrisolverType::Enum.
    Array<std::string> trisolverTypeStrs;
    Array<Details::TrisolverType::Enum> trisolverTypeEnums;
    Details::TrisolverType::loadPLTypeOption(trisolverTypeStrs, trisolverTypeEnums);
    Teuchos::StringToIntegralParameterEntryValidator<Details::TrisolverType::Enum>
        s2i(trisolverTypeStrs(), trisolverTypeEnums(), typeName, false);
 
    trisolverType = s2i.getIntegralValue(pl.get<std::string>(typeName));
  } while (0);
 
  if (trisolverType == Details::TrisolverType::HTS) {
    htsImpl_ = Teuchos::rcp(new HtsImpl());
    htsImpl_->setParameters(pl);
  }
 
  if (trisolverType == Details::TrisolverType::KSPTRSV) {
    this->isKokkosKernelsSptrsv_ = true;
  } else {
    this->isKokkosKernelsSptrsv_ = false;
  }
 
  if (pl.isParameter("trisolver: reverse U"))
    reverseStorage_ = pl.get<bool>("trisolver: reverse U");
 
  TEUCHOS_TEST_FOR_EXCEPTION(reverseStorage_ && (trisolverType == Details::TrisolverType::HTS || trisolverType == Details::TrisolverType::KSPTRSV),
                             std::logic_error,
                             "Ifpack2::LocalSparseTriangularSolver::setParameters: "
                             "You are not allowed to enable both HTS or KSPTRSV and the \"trisolver: reverse U\" "
                             "options.  See GitHub issue #2647.");
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::
    initialize() {
  using Tpetra::Details::determineLocalTriangularStructure;
 
  using local_matrix_type = typename crs_matrix_type::local_matrix_device_type;
  using LO                = local_ordinal_type;
 
  const char prefix[] = "Ifpack2::LocalSparseTriangularSolver::initialize: ";
  if (!out_.is_null()) {
    *out_ << ">>> DEBUG " << prefix << std::endl;
  }
 
  if (!isKokkosKernelsStream_) {
    TEUCHOS_TEST_FOR_EXCEPTION(A_.is_null(), std::runtime_error, prefix << "You must call "
                                                                           "setMatrix() with a nonnull input matrix before you may call "
                                                                           "initialize() or compute().");
    if (A_crs_.is_null()) {
      auto A_crs = Teuchos::rcp_dynamic_cast<const crs_matrix_type>(A_);
      TEUCHOS_TEST_FOR_EXCEPTION(A_crs.get() == nullptr, std::invalid_argument,
                                 prefix << "The input matrix A is not a Tpetra::CrsMatrix.");
      A_crs_ = A_crs;
    }
    auto G = A_crs_->getGraph();
    TEUCHOS_TEST_FOR_EXCEPTION(G.is_null(), std::logic_error, prefix << "A_ and A_crs_ are nonnull, "
                                                                        "but A_crs_'s RowGraph G is null.  "
                                                                        "Please report this bug to the Ifpack2 developers.");
    // At this point, the graph MUST be fillComplete.  The "initialize"
    // (symbolic) part of setup only depends on the graph structure, so
    // the matrix itself need not be fill complete.
    TEUCHOS_TEST_FOR_EXCEPTION(!G->isFillComplete(), std::runtime_error,
                               "If you call this method, "
                               "the matrix's graph must be fill complete.  It is not.");
 
    // mfh 30 Apr 2018: See GitHub Issue #2658.
    constexpr bool ignoreMapsForTriStructure = true;
    auto lclTriStructure                     = [&] {
      auto lclMatrix = A_crs_->getLocalMatrixDevice();
      auto lclRowMap = A_crs_->getRowMap()->getLocalMap();
      auto lclColMap = A_crs_->getColMap()->getLocalMap();
      auto lclTriStruct =
          determineLocalTriangularStructure(lclMatrix.graph,
                                                                lclRowMap,
                                                                lclColMap,
                                                                ignoreMapsForTriStructure);
      const LO lclNumRows = lclRowMap.getLocalNumElements();
      this->diag_         = (lclTriStruct.diagCount < lclNumRows) ? "U" : "N";
      this->uplo_         = lclTriStruct.couldBeLowerTriangular ? "L" : (lclTriStruct.couldBeUpperTriangular ? "U" : "N");
      return lclTriStruct;
    }();
 
    if (reverseStorage_ && lclTriStructure.couldBeUpperTriangular &&
        htsImpl_.is_null()) {
      // Reverse the storage for an upper triangular matrix
      auto Alocal = A_crs_->getLocalMatrixDevice();
      auto ptr    = Alocal.graph.row_map;
      auto ind    = Alocal.graph.entries;
      auto val    = Alocal.values;
 
      auto numRows = Alocal.numRows();
      auto numCols = Alocal.numCols();
      auto numNnz  = Alocal.nnz();
 
      typename decltype(ptr)::non_const_type newptr("ptr", ptr.extent(0));
      typename decltype(ind)::non_const_type newind("ind", ind.extent(0));
      decltype(val) newval("val", val.extent(0));
 
      // FIXME: The code below assumes UVM
      typename crs_matrix_type::execution_space().fence();
      newptr(0) = 0;
      for (local_ordinal_type row = 0, rowStart = 0; row < numRows; ++row) {
        auto A_r = Alocal.row(numRows - 1 - row);
 
        auto numEnt = A_r.length;
        for (local_ordinal_type k = 0; k < numEnt; ++k) {
          newind(rowStart + k) = numCols - 1 - A_r.colidx(numEnt - 1 - k);
          newval(rowStart + k) = A_r.value(numEnt - 1 - k);
        }
        rowStart += numEnt;
        newptr(row + 1) = rowStart;
      }
      typename crs_matrix_type::execution_space().fence();
 
      // Reverse maps
      Teuchos::RCP<map_type> newRowMap, newColMap;
      {
        // Reverse row map
        auto rowMap   = A_->getRowMap();
        auto numElems = rowMap->getLocalNumElements();
        auto rowElems = rowMap->getLocalElementList();
 
        Teuchos::Array<global_ordinal_type> newRowElems(rowElems.size());
        for (size_t i = 0; i < numElems; i++)
          newRowElems[i] = rowElems[numElems - 1 - i];
 
        newRowMap = Teuchos::rcp(new map_type(rowMap->getGlobalNumElements(), newRowElems, rowMap->getIndexBase(), rowMap->getComm()));
      }
      {
        // Reverse column map
        auto colMap   = A_->getColMap();
        auto numElems = colMap->getLocalNumElements();
        auto colElems = colMap->getLocalElementList();
 
        Teuchos::Array<global_ordinal_type> newColElems(colElems.size());
        for (size_t i = 0; i < numElems; i++)
          newColElems[i] = colElems[numElems - 1 - i];
 
        newColMap = Teuchos::rcp(new map_type(colMap->getGlobalNumElements(), newColElems, colMap->getIndexBase(), colMap->getComm()));
      }
 
      // Construct new matrix
      local_matrix_type newLocalMatrix("Upermuted", numRows, numCols, numNnz, newval, newptr, newind);
 
      A_crs_ = Teuchos::rcp(new crs_matrix_type(newLocalMatrix, newRowMap, newColMap, A_crs_->getDomainMap(), A_crs_->getRangeMap()));
 
      isInternallyChanged_ = true;
 
      // FIXME (mfh 18 Apr 2019) Recomputing this is unnecessary, but I
      // didn't want to break any invariants, especially considering
      // that this branch is likely poorly tested.
      auto newLclTriStructure =
          determineLocalTriangularStructure(newLocalMatrix.graph,
                                            newRowMap->getLocalMap(),
                                            newColMap->getLocalMap(),
                                            ignoreMapsForTriStructure);
      const LO newLclNumRows = newRowMap->getLocalNumElements();
      this->diag_            = (newLclTriStructure.diagCount < newLclNumRows) ? "U" : "N";
      this->uplo_            = newLclTriStructure.couldBeLowerTriangular ? "L" : (newLclTriStructure.couldBeUpperTriangular ? "U" : "N");
    }
  } else {
    bool prev_ambiguous = false;
    bool all_ambiguous  = true;
    for (int i = 0; i < num_streams_; i++) {
      TEUCHOS_TEST_FOR_EXCEPTION(A_crs_v_[i].is_null(), std::runtime_error, prefix << "You must call "
                                                                                      "setMatrix() with a nonnull input matrix before you may call "
                                                                                      "initialize() or compute().");
      auto G = A_crs_v_[i]->getGraph();
      TEUCHOS_TEST_FOR_EXCEPTION(G.is_null(), std::logic_error, prefix << "A_crs_ are nonnull, "
                                                                          "but A_crs_'s RowGraph G is null.  "
                                                                          "Please report this bug to the Ifpack2 developers.");
      // At this point, the graph MUST be fillComplete.  The "initialize"
      // (symbolic) part of setup only depends on the graph structure, so
      // the matrix itself need not be fill complete.
      TEUCHOS_TEST_FOR_EXCEPTION(!G->isFillComplete(), std::runtime_error,
                                 "If you call this method, "
                                 "the matrix's graph must be fill complete.  It is not.");
 
      // mfh 30 Apr 2018: See GitHub Issue #2658.
      constexpr bool ignoreMapsForTriStructure = true;
      std::string prev_uplo                    = this->uplo_;
      std::string prev_diag                    = this->diag_;
      auto lclMatrix                           = A_crs_v_[i]->getLocalMatrixDevice();
      auto lclRowMap                           = A_crs_v_[i]->getRowMap()->getLocalMap();
      auto lclColMap                           = A_crs_v_[i]->getColMap()->getLocalMap();
      auto lclTriStruct =
          determineLocalTriangularStructure(lclMatrix.graph,
                                            lclRowMap,
                                            lclColMap,
                                            ignoreMapsForTriStructure);
      const LO lclNumRows       = lclRowMap.getLocalNumElements();
      this->diag_               = (lclTriStruct.diagCount < lclNumRows) ? "U" : "N";
      const bool could_be_lower = lclTriStruct.couldBeLowerTriangular;
      const bool could_be_upper = lclTriStruct.couldBeUpperTriangular;
      if (could_be_lower && could_be_upper) {
        // Ambiguous, but that's OK if at least one stream is unabiguous
        this->uplo_    = prev_uplo;
        prev_ambiguous = true;
      } else {
        this->uplo_ = could_be_lower ? "L" : (could_be_upper ? "U" : "N");
        if (this->uplo_ != "N" && prev_uplo == "N" && prev_ambiguous) {
          prev_uplo = this->uplo_;
        }
        prev_ambiguous = false;
      }
      all_ambiguous &= prev_ambiguous;
      if (i > 0) {
        TEUCHOS_TEST_FOR_EXCEPTION((this->diag_ != prev_diag) || (this->uplo_ != prev_uplo),
                                   std::logic_error, prefix << "A_crs_'s structures in streams "
                                                               "are different. Please report this bug to the Ifpack2 developers.");
      }
    }
    // If all streams were ambiguous, just call it "L"
    if (all_ambiguous) {
      this->uplo_ = "L";
    }
  }
 
  if (Teuchos::nonnull(htsImpl_)) {
    htsImpl_->initialize(*A_crs_);
    isInternallyChanged_ = true;
  }
 
  const bool ksptrsv_valid_uplo = (this->uplo_ != "N");
  kh_v_nonnull_                 = false;
  if (this->isKokkosKernelsSptrsv_ && ksptrsv_valid_uplo && this->diag_ != "U") {
    if (!isKokkosKernelsStream_) {
      kh_                     = Teuchos::rcp(new k_handle());
      const bool is_lower_tri = (this->uplo_ == "L") ? true : false;
 
      auto A_crs  = Teuchos::rcp_dynamic_cast<const crs_matrix_type>(A_, true);
      auto Alocal = A_crs->getLocalMatrixDevice();
      auto ptr    = Alocal.graph.row_map;
      auto ind    = Alocal.graph.entries;
      auto val    = Alocal.values;
 
      auto numRows = Alocal.numRows();
      kh_->create_sptrsv_handle(kokkosKernelsAlgorithm(), numRows, is_lower_tri);
      KokkosSparse::sptrsv_symbolic(kh_.getRawPtr(), ptr, ind, val);
    } else {
      kh_v_ = std::vector<Teuchos::RCP<k_handle>>(num_streams_);
      for (int i = 0; i < num_streams_; i++) {
        kh_v_[i]      = Teuchos::rcp(new k_handle());
        auto A_crs_i  = Teuchos::rcp_dynamic_cast<const crs_matrix_type>(A_crs_v_[i], true);
        auto Alocal_i = A_crs_i->getLocalMatrixDevice();
        auto ptr_i    = Alocal_i.graph.row_map;
        auto ind_i    = Alocal_i.graph.entries;
        auto val_i    = Alocal_i.values;
 
        auto numRows_i = Alocal_i.numRows();
 
        const bool is_lower_tri = (this->uplo_ == "L") ? true : false;
        kh_v_[i]->create_sptrsv_handle(kokkosKernelsAlgorithm(), numRows_i, is_lower_tri);
        KokkosSparse::sptrsv_symbolic(kh_v_[i].getRawPtr(), ptr_i, ind_i, val_i);
      }
      kh_v_nonnull_ = true;
    }
  }
 
  isInitialized_ = true;
  ++numInitialize_;
}
 
template <class MatrixType>
KokkosSparse::Experimental::SPTRSVAlgorithm
LocalSparseTriangularSolver<MatrixType>::kokkosKernelsAlgorithm() const {
#if defined(KOKKOSKERNELS_ENABLE_TPL_CUSPARSE) && defined(KOKKOS_ENABLE_CUDA)
  // CuSparse only supports int type ordinals
  // and scalar types of float, double, float complex and double complex
  if constexpr (std::is_same<Kokkos::Cuda, HandleExecSpace>::value &&
                std::is_same<int, local_ordinal_type>::value &&
                (std::is_same<scalar_type, float>::value ||
                 std::is_same<scalar_type, double>::value ||
                 std::is_same<impl_scalar_type, Kokkos::complex<float>>::value ||
                 std::is_same<impl_scalar_type, Kokkos::complex<double>>::value)) {
    return KokkosSparse::Experimental::SPTRSVAlgorithm::SPTRSV_CUSPARSE;
  }
#endif
  return KokkosSparse::Experimental::SPTRSVAlgorithm::SEQLVLSCHD_TP1;
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::
    compute() {
  const char prefix[] = "Ifpack2::LocalSparseTriangularSolver::compute: ";
  if (!out_.is_null()) {
    *out_ << ">>> DEBUG " << prefix << std::endl;
  }
 
  if (!isKokkosKernelsStream_) {
    TEUCHOS_TEST_FOR_EXCEPTION(A_.is_null(), std::runtime_error, prefix << "You must call "
                                                                           "setMatrix() with a nonnull input matrix before you may call "
                                                                           "initialize() or compute().");
    TEUCHOS_TEST_FOR_EXCEPTION(A_crs_.is_null(), std::logic_error, prefix << "A_ is nonnull, but "
                                                                             "A_crs_ is null.  Please report this bug to the Ifpack2 developers.");
    // At this point, the matrix MUST be fillComplete.
    TEUCHOS_TEST_FOR_EXCEPTION(!A_crs_->isFillComplete(), std::runtime_error,
                               "If you call this "
                               "method, the matrix must be fill complete.  It is not.");
  } else {
    for (int i = 0; i < num_streams_; i++) {
      TEUCHOS_TEST_FOR_EXCEPTION(A_crs_v_[i].is_null(), std::runtime_error, prefix << "You must call "
                                                                                      "setMatrices() with a nonnull input matrix before you may call "
                                                                                      "initialize() or compute().");
      // At this point, the matrix MUST be fillComplete.
      TEUCHOS_TEST_FOR_EXCEPTION(!A_crs_v_[i]->isFillComplete(), std::runtime_error,
                                 "If you call this "
                                 "method, the matrix must be fill complete.  It is not.");
    }
  }
 
  if (!isInitialized_) {
    initialize();
  }
  TEUCHOS_TEST_FOR_EXCEPTION(!isInitialized_, std::logic_error, prefix << "initialize() should have "
                                                                          "been called by this point, but isInitialized_ is false.  "
                                                                          "Please report this bug to the Ifpack2 developers.");
 
// NOTE (Nov-09-2022):
// For Cuda >= 11.3 (using cusparseSpSV), always call symbolic during compute
// even when matrix values are changed with the same sparsity pattern.
// For Cuda >= 12.1 has a new cusparseSpSV_updateMatrix function just for updating the
// values that is substantially faster.
// This would all be much better handled via a KokkosSparse::sptrsv_numeric(...)
// that could hide the Cuda implementation details.
#if defined(KOKKOS_ENABLE_CUDA) && defined(KOKKOSKERNELS_ENABLE_TPL_CUSPARSE) && (CUDA_VERSION >= 11030)
  if constexpr (std::is_same_v<typename crs_matrix_type::execution_space, Kokkos::Cuda>) {
    if (this->isKokkosKernelsSptrsv_) {
      if (Teuchos::nonnull(kh_) && !isKokkosKernelsStream_) {
        auto A_crs  = Teuchos::rcp_dynamic_cast<const crs_matrix_type>(A_crs_, true);
        auto Alocal = A_crs->getLocalMatrixDevice();
        auto val    = Alocal.values;
        auto ptr    = Alocal.graph.row_map;
        auto ind    = Alocal.graph.entries;
        KokkosSparse::sptrsv_symbolic(kh_.getRawPtr(), ptr, ind, val);
      } else if (kh_v_nonnull_) {
        for (int i = 0; i < num_streams_; i++) {
          auto A_crs_i  = Teuchos::rcp_dynamic_cast<const crs_matrix_type>(A_crs_v_[i], true);
          auto Alocal_i = A_crs_i->getLocalMatrixDevice();
          auto val_i    = Alocal_i.values;
          auto ptr_i    = Alocal_i.graph.row_map;
          auto ind_i    = Alocal_i.graph.entries;
          KokkosSparse::sptrsv_symbolic(exec_space_instances_[i], kh_v_[i].getRawPtr(), ptr_i, ind_i, val_i);
        }
      }
    }
  }
#endif
 
  if (!isComputed_) {  // Only compute if not computed before
    if (Teuchos::nonnull(htsImpl_))
      htsImpl_->compute(*A_crs_, out_);
 
    isComputed_ = true;
    ++numCompute_;
  }
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::
    apply(const Tpetra::MultiVector<scalar_type, local_ordinal_type,
                                    global_ordinal_type, node_type>& X,
          Tpetra::MultiVector<scalar_type, local_ordinal_type,
                              global_ordinal_type, node_type>& Y,
          Teuchos::ETransp mode,
          scalar_type alpha,
          scalar_type beta) const {
  using Teuchos::RCP;
  using Teuchos::rcp;
  using Teuchos::rcpFromRef;
  typedef scalar_type ST;
  typedef Teuchos::ScalarTraits<ST> STS;
  const char prefix[] = "Ifpack2::LocalSparseTriangularSolver::apply: ";
 
  if (!out_.is_null()) {
    *out_ << ">>> DEBUG " << prefix;
    if (!isKokkosKernelsStream_) {
      if (A_crs_.is_null()) {
        *out_ << "A_crs_ is null!" << std::endl;
      } else {
        Teuchos::RCP<const crs_matrix_type> A_crs =
            Teuchos::rcp_dynamic_cast<const crs_matrix_type>(A_);
        const std::string uplo  = this->uplo_;
        const std::string trans = (mode == Teuchos::CONJ_TRANS) ? "C" : (mode == Teuchos::TRANS ? "T" : "N");
        const std::string diag  = this->diag_;
        *out_ << "uplo=\"" << uplo
              << "\", trans=\"" << trans
              << "\", diag=\"" << diag << "\"" << std::endl;
      }
    } else {
      for (int i = 0; i < num_streams_; i++) {
        if (A_crs_v_[i].is_null()) {
          *out_ << "A_crs_v_[" << i << "]"
                << " is null!" << std::endl;
        } else {
          const std::string uplo  = this->uplo_;
          const std::string trans = (mode == Teuchos::CONJ_TRANS) ? "C" : (mode == Teuchos::TRANS ? "T" : "N");
          const std::string diag  = this->diag_;
          *out_ << "A_crs_v_[" << i << "]: "
                << "uplo=\"" << uplo
                << "\", trans=\"" << trans
                << "\", diag=\"" << diag << "\"" << std::endl;
        }
      }
    }
  }
 
  TEUCHOS_TEST_FOR_EXCEPTION(!isComputed(), std::runtime_error, prefix << "If compute() has not yet "
                                                                          "been called, or if you have changed the matrix via setMatrix(), you must "
                                                                          "call compute() before you may call this method.");
  // If isComputed() is true, it's impossible for the matrix to be
  // null, or for it not to be a Tpetra::CrsMatrix.
  if (!isKokkosKernelsStream_) {
    TEUCHOS_TEST_FOR_EXCEPTION(A_.is_null(), std::logic_error, prefix << "A_ is null.  "
                                                                         "Please report this bug to the Ifpack2 developers.");
    TEUCHOS_TEST_FOR_EXCEPTION(A_crs_.is_null(), std::logic_error, prefix << "A_crs_ is null.  "
                                                                             "Please report this bug to the Ifpack2 developers.");
    // However, it _is_ possible that the user called resumeFill() on
    // the matrix, after calling compute().  This is NOT allowed.
    TEUCHOS_TEST_FOR_EXCEPTION(!A_crs_->isFillComplete(), std::runtime_error,
                               "If you call this "
                               "method, the matrix must be fill complete.  It is not.  This means that "
                               " you must have called resumeFill() on the matrix before calling apply(). "
                               "This is NOT allowed.  Note that this class may use the matrix's data in "
                               "place without copying it.  Thus, you cannot change the matrix and expect "
                               "the solver to stay the same.  If you have changed the matrix, first call "
                               "fillComplete() on it, then call compute() on this object, before you call"
                               " apply().  You do NOT need to call setMatrix, as long as the matrix "
                               "itself (that is, its address in memory) is the same.");
  } else {
    for (int i = 0; i < num_streams_; i++) {
      TEUCHOS_TEST_FOR_EXCEPTION(A_crs_v_[i].is_null(), std::logic_error, prefix << "A_crs_ is null.  "
                                                                                    "Please report this bug to the Ifpack2 developers.");
      // However, it _is_ possible that the user called resumeFill() on
      // the matrix, after calling compute().  This is NOT allowed.
      TEUCHOS_TEST_FOR_EXCEPTION(!A_crs_v_[i]->isFillComplete(), std::runtime_error,
                                 "If you call this "
                                 "method, the matrix must be fill complete.  It is not.  This means that "
                                 " you must have called resumeFill() on the matrix before calling apply(). "
                                 "This is NOT allowed.  Note that this class may use the matrix's data in "
                                 "place without copying it.  Thus, you cannot change the matrix and expect "
                                 "the solver to stay the same.  If you have changed the matrix, first call "
                                 "fillComplete() on it, then call compute() on this object, before you call"
                                 " apply().  You do NOT need to call setMatrix, as long as the matrix "
                                 "itself (that is, its address in memory) is the same.");
    }
  }
 
  RCP<const MV> X_cur;
  RCP<MV> Y_cur;
 
  if (!isKokkosKernelsStream_) {
    auto G = A_crs_->getGraph();
    TEUCHOS_TEST_FOR_EXCEPTION(G.is_null(), std::logic_error, prefix << "A_ and A_crs_ are nonnull, "
                                                                        "but A_crs_'s RowGraph G is null.  "
                                                                        "Please report this bug to the Ifpack2 developers.");
    auto importer = G->getImporter();
    auto exporter = G->getExporter();
 
    if (!importer.is_null()) {
      if (X_colMap_.is_null() || X_colMap_->getNumVectors() != X.getNumVectors()) {
        X_colMap_ = rcp(new MV(importer->getTargetMap(), X.getNumVectors()));
      } else {
        X_colMap_->putScalar(STS::zero());
      }
      // See discussion of Github Issue #672 for why the Import needs to
      // use the ZERO CombineMode.  The case where the Export is
      // nontrivial is likely never exercised.
      X_colMap_->doImport(X, *importer, Tpetra::ZERO);
    }
    X_cur = importer.is_null() ? rcpFromRef(X) : Teuchos::rcp_const_cast<const MV>(X_colMap_);
 
    if (!exporter.is_null()) {
      if (Y_rowMap_.is_null() || Y_rowMap_->getNumVectors() != Y.getNumVectors()) {
        Y_rowMap_ = rcp(new MV(exporter->getSourceMap(), Y.getNumVectors()));
      } else {
        Y_rowMap_->putScalar(STS::zero());
      }
      Y_rowMap_->doExport(Y, *importer, Tpetra::ADD);
    }
    Y_cur = exporter.is_null() ? rcpFromRef(Y) : Y_rowMap_;
  } else {
    // Currently assume X and Y are local vectors (same sizes as A_crs_).
    // Should do a better job here!!!
    X_cur = rcpFromRef(X);
    Y_cur = rcpFromRef(Y);
  }
 
  localApply(*X_cur, *Y_cur, mode, alpha, beta);
 
  if (!isKokkosKernelsStream_) {
    auto G        = A_crs_->getGraph();
    auto exporter = G->getExporter();
    if (!exporter.is_null()) {
      Y.putScalar(STS::zero());
      Y.doExport(*Y_cur, *exporter, Tpetra::ADD);
    }
  }
  ++numApply_;
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::
    localTriangularSolve(const MV& Y,
                         MV& X,
                         const Teuchos::ETransp mode) const {
  using Teuchos::CONJ_TRANS;
  using Teuchos::NO_TRANS;
  using Teuchos::TRANS;
  const char tfecfFuncName[] = "localTriangularSolve: ";
 
  if (!isKokkosKernelsStream_) {
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!A_crs_->isFillComplete(), std::runtime_error,
                                          "The matrix is not fill complete.");
    TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(A_crs_->getLocalNumRows() > 0 && this->uplo_ == "N", std::runtime_error,
                                          "The matrix is neither upper triangular or lower triangular.  "
                                          "You may only call this method if the matrix is triangular.  "
                                          "Remember that this is a local (per MPI process) property, and that "
                                          "Tpetra only knows how to do a local (per process) triangular solve.");
  } else {
    for (int i = 0; i < num_streams_; i++) {
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!A_crs_v_[i]->isFillComplete(), std::runtime_error,
                                            "The matrix is not fill complete.");
      TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(A_crs_v_[i]->getLocalNumRows() > 0 && this->uplo_ == "N", std::runtime_error,
                                            "The matrix is neither upper triangular or lower triangular.  "
                                            "You may only call this method if the matrix is triangular.  "
                                            "Remember that this is a local (per MPI process) property, and that "
                                            "Tpetra only knows how to do a local (per process) triangular solve.");
    }
  }
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(!X.isConstantStride() || !Y.isConstantStride(), std::invalid_argument,
                                        "X and Y must be constant stride.");
  using STS = Teuchos::ScalarTraits<scalar_type>;
  TEUCHOS_TEST_FOR_EXCEPTION_CLASS_FUNC(STS::isComplex && mode == TRANS, std::logic_error,
                                        "This method does "
                                        "not currently support non-conjugated transposed solve (mode == "
                                        "Teuchos::TRANS) for complex scalar types.");
 
  const std::string uplo  = this->uplo_;
  const std::string trans = (mode == Teuchos::CONJ_TRANS) ? "C" : (mode == Teuchos::TRANS ? "T" : "N");
  const size_t numVecs    = std::min(X.getNumVectors(), Y.getNumVectors());
 
  if (Teuchos::nonnull(kh_) && this->isKokkosKernelsSptrsv_ && trans == "N") {
    auto A_crs  = Teuchos::rcp_dynamic_cast<const crs_matrix_type>(this->A_);
    auto A_lclk = A_crs->getLocalMatrixDevice();
    auto ptr    = A_lclk.graph.row_map;
    auto ind    = A_lclk.graph.entries;
    auto val    = A_lclk.values;
 
    for (size_t j = 0; j < numVecs; ++j) {
      auto X_j      = X.getVectorNonConst(j);
      auto Y_j      = Y.getVector(j);
      auto X_lcl    = X_j->getLocalViewDevice(Tpetra::Access::ReadWrite);
      auto Y_lcl    = Y_j->getLocalViewDevice(Tpetra::Access::ReadOnly);
      auto X_lcl_1d = Kokkos::subview(X_lcl, Kokkos::ALL(), 0);
      auto Y_lcl_1d = Kokkos::subview(Y_lcl, Kokkos::ALL(), 0);
      KokkosSparse::sptrsv_solve(kh_.getRawPtr(), ptr, ind, val, Y_lcl_1d, X_lcl_1d);
      // TODO is this fence needed...
      typename k_handle::HandleExecSpace().fence();
    }
  }  // End using regular interface of Kokkos Kernels Sptrsv
  else if (kh_v_nonnull_ && this->isKokkosKernelsSptrsv_ && trans == "N") {
    std::vector<lno_row_view_t> ptr_v(num_streams_);
    std::vector<lno_nonzero_view_t> ind_v(num_streams_);
    std::vector<scalar_nonzero_view_t> val_v(num_streams_);
    std::vector<k_handle*> KernelHandle_rawptr_v_(num_streams_);
    for (size_t j = 0; j < numVecs; ++j) {
      auto X_j      = X.getVectorNonConst(j);
      auto Y_j      = Y.getVector(j);
      auto X_lcl    = X_j->getLocalViewDevice(Tpetra::Access::ReadWrite);
      auto Y_lcl    = Y_j->getLocalViewDevice(Tpetra::Access::ReadOnly);
      auto X_lcl_1d = Kokkos::subview(X_lcl, Kokkos::ALL(), 0);
      auto Y_lcl_1d = Kokkos::subview(Y_lcl, Kokkos::ALL(), 0);
      std::vector<decltype(X_lcl_1d)> x_v(num_streams_);
      std::vector<decltype(Y_lcl_1d)> y_v(num_streams_);
      local_ordinal_type stream_begin = 0;
      local_ordinal_type stream_end;
      for (int i = 0; i < num_streams_; i++) {
        auto A_crs_i              = Teuchos::rcp_dynamic_cast<const crs_matrix_type>(A_crs_v_[i]);
        auto Alocal_i             = A_crs_i->getLocalMatrixDevice();
        ptr_v[i]                  = Alocal_i.graph.row_map;
        ind_v[i]                  = Alocal_i.graph.entries;
        val_v[i]                  = Alocal_i.values;
        stream_end                = stream_begin + Alocal_i.numRows();
        x_v[i]                    = Kokkos::subview(X_lcl, Kokkos::make_pair(stream_begin, stream_end), 0);
        y_v[i]                    = Kokkos::subview(Y_lcl, Kokkos::make_pair(stream_begin, stream_end), 0);
        KernelHandle_rawptr_v_[i] = kh_v_[i].getRawPtr();
        stream_begin              = stream_end;
      }
      Kokkos::fence();
      KokkosSparse::Experimental::sptrsv_solve_streams(exec_space_instances_, KernelHandle_rawptr_v_,
                                                       ptr_v, ind_v, val_v, y_v, x_v);
      for (int i = 0; i < num_streams_; i++) exec_space_instances_[i].fence();
      // Kokkos::fence();
    }
  }  // End using stream interface of Kokkos Kernels Sptrsv
  else {
    const std::string diag = this->diag_;
    // NOTE (mfh 20 Aug 2017): KokkosSparse::trsv currently is a
    // sequential, host-only code.  See
    // https://github.com/kokkos/kokkos-kernels/issues/48.
 
    auto A_lcl = this->A_crs_->getLocalMatrixHost();
 
    if (X.isConstantStride() && Y.isConstantStride()) {
      auto X_lcl = X.getLocalViewHost(Tpetra::Access::ReadWrite);
      auto Y_lcl = Y.getLocalViewHost(Tpetra::Access::ReadOnly);
      KokkosSparse::trsv(uplo.c_str(), trans.c_str(), diag.c_str(),
                         A_lcl, Y_lcl, X_lcl);
    } else {
      for (size_t j = 0; j < numVecs; ++j) {
        auto X_j   = X.getVectorNonConst(j);
        auto Y_j   = Y.getVector(j);
        auto X_lcl = X_j->getLocalViewHost(Tpetra::Access::ReadWrite);
        auto Y_lcl = Y_j->getLocalViewHost(Tpetra::Access::ReadOnly);
        KokkosSparse::trsv(uplo.c_str(), trans.c_str(),
                           diag.c_str(), A_lcl, Y_lcl, X_lcl);
      }
    }
  }
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::
    localApply(const MV& X,
               MV& Y,
               const Teuchos::ETransp mode,
               const scalar_type& alpha,
               const scalar_type& beta) const {
  if (mode == Teuchos::NO_TRANS && Teuchos::nonnull(htsImpl_) &&
      htsImpl_->isComputed()) {
    htsImpl_->localApply(X, Y, mode, alpha, beta);
    return;
  }
 
  using Teuchos::RCP;
  typedef scalar_type ST;
  typedef Teuchos::ScalarTraits<ST> STS;
 
  if (beta == STS::zero()) {
    if (alpha == STS::zero()) {
      Y.putScalar(STS::zero());  // Y := 0 * Y (ignore contents of Y)
    } else {                     // alpha != 0
      this->localTriangularSolve(X, Y, mode);
      if (alpha != STS::one()) {
        Y.scale(alpha);
      }
    }
  } else {  // beta != 0
    if (alpha == STS::zero()) {
      Y.scale(beta);  // Y := beta * Y
    } else {          // alpha != 0
      MV Y_tmp(Y, Teuchos::Copy);
      this->localTriangularSolve(X, Y_tmp, mode);  // Y_tmp := M * X
      Y.update(alpha, Y_tmp, beta);                // Y := beta * Y + alpha * Y_tmp
    }
  }
}
 
template <class MatrixType>
int LocalSparseTriangularSolver<MatrixType>::
    getNumInitialize() const {
  return numInitialize_;
}
 
template <class MatrixType>
int LocalSparseTriangularSolver<MatrixType>::
    getNumCompute() const {
  return numCompute_;
}
 
template <class MatrixType>
int LocalSparseTriangularSolver<MatrixType>::
    getNumApply() const {
  return numApply_;
}
 
template <class MatrixType>
double
LocalSparseTriangularSolver<MatrixType>::
    getInitializeTime() const {
  return initializeTime_;
}
 
template <class MatrixType>
double
LocalSparseTriangularSolver<MatrixType>::
    getComputeTime() const {
  return computeTime_;
}
 
template <class MatrixType>
double
LocalSparseTriangularSolver<MatrixType>::
    getApplyTime() const {
  return applyTime_;
}
 
template <class MatrixType>
std::string
LocalSparseTriangularSolver<MatrixType>::
    description() const {
  std::ostringstream os;
 
  // Output is a valid YAML dictionary in flow style.  If you don't
  // like everything on a single line, you should call describe()
  // instead.
  os << "\"Ifpack2::LocalSparseTriangularSolver\": {";
  if (this->getObjectLabel() != "") {
    os << "Label: \"" << this->getObjectLabel() << "\", ";
  }
  os << "Initialized: " << (isInitialized() ? "true" : "false") << ", "
     << "Computed: " << (isComputed() ? "true" : "false") << ", ";
 
  if (isKokkosKernelsSptrsv_) os << "KK-SPTRSV, ";
  if (isKokkosKernelsStream_) os << "KK-SolveStream, ";
 
  if (A_.is_null()) {
    os << "Matrix: null";
  } else {
    os << "Matrix dimensions: ["
       << A_->getGlobalNumRows() << ", "
       << A_->getGlobalNumCols() << "]"
       << ", Number of nonzeros: " << A_->getGlobalNumEntries();
  }
 
  if (Teuchos::nonnull(htsImpl_))
    os << ", HTS computed: " << (htsImpl_->isComputed() ? "true" : "false");
  os << "}";
  return os.str();
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::
    describe(Teuchos::FancyOStream& out,
             const Teuchos::EVerbosityLevel verbLevel) const {
  using std::endl;
  // Default verbosity level is VERB_LOW, which prints only on Process
  // 0 of the matrix's communicator.
  const Teuchos::EVerbosityLevel vl = (verbLevel == Teuchos::VERB_DEFAULT) ? Teuchos::VERB_LOW : verbLevel;
 
  if (vl != Teuchos::VERB_NONE) {
    // Print only on Process 0 in the matrix's communicator.  If the
    // matrix is null, though, we have to get the communicator from
    // somewhere, so we ask Tpetra for its default communicator.  If
    // MPI is enabled, this wraps MPI_COMM_WORLD or a clone thereof.
    auto comm = A_.is_null() ? Tpetra::getDefaultComm() : A_->getComm();
 
    // Users aren't supposed to do anything with the matrix on
    // processes where its communicator is null.
    if (!comm.is_null() && comm->getRank() == 0) {
      // By convention, describe() should always begin with a tab.
      Teuchos::OSTab tab0(out);
      // Output is in YAML format.  We have to escape the class name,
      // because it has a colon.
      out << "\"Ifpack2::LocalSparseTriangularSolver\":" << endl;
      Teuchos::OSTab tab1(out);
      out << "Scalar: " << Teuchos::TypeNameTraits<scalar_type>::name() << endl
          << "LocalOrdinal: " << Teuchos::TypeNameTraits<local_ordinal_type>::name() << endl
          << "GlobalOrdinal: " << Teuchos::TypeNameTraits<global_ordinal_type>::name() << endl
          << "Node: " << Teuchos::TypeNameTraits<node_type>::name() << endl;
    }
  }
}
 
template <class MatrixType>
Teuchos::RCP<const typename LocalSparseTriangularSolver<MatrixType>::map_type>
LocalSparseTriangularSolver<MatrixType>::
    getDomainMap() const {
  TEUCHOS_TEST_FOR_EXCEPTION(A_.is_null(), std::runtime_error,
                             "Ifpack2::LocalSparseTriangularSolver::getDomainMap: "
                             "The matrix is null.  Please call setMatrix() with a nonnull input "
                             "before calling this method.");
  return A_->getDomainMap();
}
 
template <class MatrixType>
Teuchos::RCP<const typename LocalSparseTriangularSolver<MatrixType>::map_type>
LocalSparseTriangularSolver<MatrixType>::
    getRangeMap() const {
  TEUCHOS_TEST_FOR_EXCEPTION(A_.is_null(), std::runtime_error,
                             "Ifpack2::LocalSparseTriangularSolver::getRangeMap: "
                             "The matrix is null.  Please call setMatrix() with a nonnull input "
                             "before calling this method.");
  return A_->getRangeMap();
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::
    setMatrix(const Teuchos::RCP<const row_matrix_type>& A) {
  const char prefix[] = "Ifpack2::LocalSparseTriangularSolver::setMatrix: ";
 
  // If the pointer didn't change, do nothing.  This is reasonable
  // because users are supposed to call this method with the same
  // object over all participating processes, and pointer identity
  // implies object identity.
  if (A.getRawPtr() != A_.getRawPtr() || isInternallyChanged_) {
    // Check in serial or one-process mode if the matrix is square.
    TEUCHOS_TEST_FOR_EXCEPTION(!A.is_null() && A->getComm()->getSize() == 1 &&
                                   A->getLocalNumRows() != A->getLocalNumCols(),
                               std::runtime_error, prefix << "If A's communicator only contains one "
                                                             "process, then A must be square.  Instead, you provided a matrix A with "
                                                          << A->getLocalNumRows() << " rows and " << A->getLocalNumCols() << " columns.");
 
    // It's legal for A to be null; in that case, you may not call
    // initialize() until calling setMatrix() with a nonnull input.
    // Regardless, setting the matrix invalidates the preconditioner.
    isInitialized_ = false;
    isComputed_    = false;
 
    if (A.is_null()) {
      A_crs_ = Teuchos::null;
      A_     = Teuchos::null;
    } else {  // A is not null
      Teuchos::RCP<const crs_matrix_type> A_crs =
          Teuchos::rcp_dynamic_cast<const crs_matrix_type>(A);
      TEUCHOS_TEST_FOR_EXCEPTION(A_crs.is_null(), std::invalid_argument, prefix << "The input matrix A is not a Tpetra::CrsMatrix.");
      A_crs_ = A_crs;
      A_     = A;
    }
 
    if (Teuchos::nonnull(htsImpl_))
      htsImpl_->reset();
  }  // pointers are not the same
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::
    setStreamInfo(const bool& isKokkosKernelsStream, const int& num_streams,
                  const std::vector<HandleExecSpace>& exec_space_instances) {
  isKokkosKernelsStream_ = isKokkosKernelsStream;
  num_streams_           = num_streams;
  exec_space_instances_  = exec_space_instances;
  A_crs_v_               = std::vector<Teuchos::RCP<crs_matrix_type>>(num_streams_);
}
 
template <class MatrixType>
void LocalSparseTriangularSolver<MatrixType>::
    setMatrices(const std::vector<Teuchos::RCP<crs_matrix_type>>& A_crs_v) {
  const char prefix[] = "Ifpack2::LocalSparseTriangularSolver::setMatrixWithStreams: ";
 
  for (int i = 0; i < num_streams_; i++) {
    // If the pointer didn't change, do nothing.  This is reasonable
    // because users are supposed to call this method with the same
    // object over all participating processes, and pointer identity
    // implies object identity.
    if (A_crs_v[i].getRawPtr() != A_crs_v_[i].getRawPtr() || isInternallyChanged_) {
      // Check in serial or one-process mode if the matrix is square.
      TEUCHOS_TEST_FOR_EXCEPTION(!A_crs_v[i].is_null() && A_crs_v[i]->getComm()->getSize() == 1 &&
                                     A_crs_v[i]->getLocalNumRows() != A_crs_v[i]->getLocalNumCols(),
                                 std::runtime_error, prefix << "If A's communicator only contains one "
                                                               "process, then A must be square.  Instead, you provided a matrix A with "
                                                            << A_crs_v[i]->getLocalNumRows() << " rows and " << A_crs_v[i]->getLocalNumCols() << " columns.");
 
      // It's legal for A to be null; in that case, you may not call
      // initialize() until calling setMatrix() with a nonnull input.
      // Regardless, setting the matrix invalidates the preconditioner.
      isInitialized_ = false;
      isComputed_    = false;
 
      if (A_crs_v[i].is_null()) {
        A_crs_v_[i] = Teuchos::null;
      } else {  // A is not null
        Teuchos::RCP<crs_matrix_type> A_crs =
            Teuchos::rcp_dynamic_cast<crs_matrix_type>(A_crs_v[i]);
        TEUCHOS_TEST_FOR_EXCEPTION(A_crs.is_null(), std::invalid_argument, prefix << "The input matrix A is not a Tpetra::CrsMatrix.");
        A_crs_v_[i] = A_crs;
      }
    }  // pointers are not the same
  }
}
 
}  // namespace Ifpack2
 
#define IFPACK2_LOCALSPARSETRIANGULARSOLVER_INSTANT(S, LO, GO, N) \
  template class Ifpack2::LocalSparseTriangularSolver<Tpetra::RowMatrix<S, LO, GO, N>>;
 
#endif  // IFPACK2_LOCALSPARSETRIANGULARSOLVER_DEF_HPP