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// @HEADER
//
// ***********************************************************************
//
//   Zoltan2: A package of combinatorial algorithms for scientific computing
//                  Copyright 2012 Sandia Corporation
//
// Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
// the U.S. Government retains certain rights in this software.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact Karen Devine      (kddevin@sandia.gov)
//                    Erik Boman        (egboman@sandia.gov)
//                    Siva Rajamanickam (srajama@sandia.gov)
//
// ***********************************************************************
//
// @HEADER

/*! \file Zoltan2_XpetraTraits.hpp
    \brief Traits of Xpetra classes, including migration method.
*/

#ifndef _ZOLTAN2_XPETRATRAITS_HPP_
#define _ZOLTAN2_XPETRATRAITS_HPP_

#include <Zoltan2_InputTraits.hpp>
#include <Zoltan2_Standards.hpp>

#include <Xpetra_TpetraCrsMatrix.hpp>
#include <Xpetra_TpetraVector.hpp>
#include <Tpetra_Vector.hpp>

#if defined(HAVE_ZOLTAN2_EPETRA) && defined(HAVE_XPETRA_EPETRA)
#include <Xpetra_EpetraCrsMatrix.hpp>
#include <Xpetra_EpetraVector.hpp>
#include <Xpetra_EpetraUtils.hpp>
#endif

namespace Zoltan2 {

//////////////////////////////////////////////////////////////////////////////
// Extra traits needed only for Xpetra matrices and graphs

/*! \brief  Defines the traits required for Tpetra, Eptra and Xpetra objects.
 *
 *    Definitions are provided for:
 *
 * \li Tpetra::CrsMatrix<scalar_t, lno_t, gno_t, node_t>
 * \li Epetra_CrsMatrix
 * \li Xpetra::CrsMatrix<scalar_t, lno_t, gno_t, node_t>
 * \li Xpetra::CrsMatrix<double, int, int, node_t>
 * \li Tpetra::CrsGraph<lno_t, gno_t, node_t>
 * \li Epetra_CrsGraph
 * \li Xpetra::CrsGraph<lno_t, gno_t, node_t>
 * \li Xpetra::CrsGraph<int, int, node_t>
 * \li Tpetra::Vector<scalar_t, lno_t, gno_t, node_t>
 * \li Epetra_Vector
 * \li Xpetra::Vector<scalar_t, lno_t, gno_t, node_t>
 * \li Xpetra::Vector<double, int, int, node_t>
 * \li Tpetra::MultiVector<scalar_t, lno_t, gno_t, node_t>
 * \li Epetra_MultiVector
 * \li Xpetra::MultiVector<scalar_t, lno_t, gno_t, node_t>
 * \li Xpetra::MultiVector<double, int, int, node_t>
 */

template <typename User>
struct XpetraTraits
{
  /*! \brief Convert the object to its Xpetra wrapped version.
   */
  static inline RCP<User> convertToXpetra(const RCP<User> &a)
  {
    return a;
  }

  /*! \brief The objects global ordinal data type.
   */
  typedef default_gno_t gno_t;

  /*! \brief The objects local ordinal data type.
   */
  typedef default_lno_t lno_t;

  /*! \brief Migrate the object
   *  Given a user object and a new row distribution, create and
   *  return a new user object with the new distribution.
   */

  static RCP<User> doMigration(const User &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    return Teuchos::null;
  }
};

#ifndef DOXYGEN_SHOULD_SKIP_THIS

//////////////////////////////////////////////////////////////////////////////
// Tpetra::CrsMatrix
template <typename scalar_t,
          typename lno_t,
          typename gno_t,
          typename node_t>
struct XpetraTraits<Tpetra::CrsMatrix<scalar_t, lno_t, gno_t, node_t> >
{
  typedef typename Xpetra::CrsMatrix<scalar_t,lno_t,gno_t,node_t> xmatrix_t;
  typedef typename Xpetra::TpetraCrsMatrix<scalar_t,lno_t,gno_t,node_t> xtmatrix_t;
  typedef typename Tpetra::CrsMatrix<scalar_t,lno_t,gno_t,node_t> tmatrix_t;

  static inline RCP<xmatrix_t> convertToXpetra(const RCP<tmatrix_t> &a)
  {
    return rcp(new xtmatrix_t(a));
  }

  static RCP<tmatrix_t> doMigration(const tmatrix_t &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    typedef Tpetra::Map<lno_t, gno_t, node_t> map_t;

    // source map
    const RCP<const map_t> &smap = from.getRowMap();
    gno_t numGlobalRows = smap->getGlobalNumElements();
    gno_t base = smap->getMinAllGlobalIndex();

    // target map
    ArrayView<const gno_t> rowList(myNewRows, numLocalRows);
    const RCP<const Teuchos::Comm<int> > &comm = from.getComm();
    RCP<const map_t> tmap = rcp(new map_t(numGlobalRows, rowList, base, comm));

    // importer
    Tpetra::Import<lno_t, gno_t, node_t> importer(smap, tmap);

    // target matrix
    // Chris Siefert proposed using the following to make migration 
    // more efficient.  
    // By default, the Domain and Range maps are the same as in "from".
    // As in the original code, we instead set them both to tmap.  
    // The assumption is a square matrix.
    // TODO:  what about rectangular matrices?  
    // TODO:  Should choice of domain/range maps be an option to this function?

    // KDD 3/7/16:  disabling Chris' new code to avoid dashboard failures;
    // KDD 3/7/16:  can re-enable when issue #114 is fixed.
    // KDD 3/7/16:  when re-enable CSIEFERT code, can comment out
    // KDD 3/7/16:  "Original way" code.
    // KDD 1/27/17: Re-enabling Chris' code, as this issue is resolved.
    RCP<tmatrix_t> M;
    from.importAndFillComplete(M, importer, tmap, tmap);

    //// Original way we did it:
    ////
    //int oldNumElts = smap->getNodeNumElements();
    //int newNumElts = numLocalRows;
    
    //// number of non zeros in my new rows
    //typedef Tpetra::Vector<scalar_t, lno_t, gno_t, node_t> vector_t;
    //vector_t numOld(smap);  // TODO These vectors should have scalar=size_t,
    //vector_t numNew(tmap);  // but ETI does not yet support that.
    //for (int lid=0; lid < oldNumElts; lid++){
      //numOld.replaceGlobalValue(smap->getGlobalElement(lid),
        //scalar_t(from.getNumEntriesInLocalRow(lid)));
    //}
    //numNew.doImport(numOld, importer, Tpetra::INSERT);
   
    // TODO Could skip this copy if could declare vector with scalar=size_t.
    //ArrayRCP<size_t> nnz(newNumElts);
    //if (newNumElts > 0){
      //ArrayRCP<scalar_t> ptr = numNew.getDataNonConst(0);
      //for (int lid=0; lid < newNumElts; lid++){
        //nnz[lid] = static_cast<size_t>(ptr[lid]);
      //}
    //}
    
    //RCP<tmatrix_t> M = rcp(new tmatrix_t(tmap, nnz, Tpetra::StaticProfile));
    //M->doImport(from, importer, Tpetra::INSERT);
    //M->fillComplete();

    // End of original way we did it.
    return M;
  }
};

//////////////////////////////////////////////////////////////////////////////
#if defined(HAVE_ZOLTAN2_EPETRA) && defined(HAVE_XPETRA_EPETRA)
// Epetra_CrsMatrix
template <>
struct XpetraTraits<Epetra_CrsMatrix>
{
  typedef InputTraits<Epetra_CrsMatrix>::scalar_t scalar_t;
  typedef InputTraits<Epetra_CrsMatrix>::lno_t lno_t;
  typedef InputTraits<Epetra_CrsMatrix>::gno_t gno_t;
  typedef InputTraits<Epetra_CrsMatrix>::node_t node_t;

  static inline RCP<Xpetra::CrsMatrix<scalar_t,lno_t,gno_t,node_t> >
  convertToXpetra(const RCP<Epetra_CrsMatrix> &a)
  {
    RCP<Xpetra::EpetraCrsMatrixT<gno_t, node_t> > xa;
    try {
      xa = rcp(new Xpetra::EpetraCrsMatrixT<gno_t, node_t>(a));
    }
    catch (std::exception &e) {
      if (std::is_same<node_t, Xpetra::EpetraNode>::value)
        throw std::runtime_error(std::string("Cannot convert from "
                                             "Epetra_CrsMatrix to "
                                             "Xpetra::EpetraCrsMatrixT\n")
                               + e.what());
      else
        throw std::runtime_error(std::string("Cannot convert from "
                                             "Epetra_CrsMatrix to "
                                             "Xpetra::EpetraCrsMatrixT\n"
                                             "Use node_t that is supported by "
                                             "Xpetra with Epetra classes\n")
                               + e.what());
    }
    return xa;
  }


  static RCP<Epetra_CrsMatrix> doMigration(const Epetra_CrsMatrix &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    // source map
    const Epetra_Map &smap = from.RowMap();
    gno_t numGlobalRows = smap.NumGlobalElements();
    int base = smap.MinAllGID();

    // target map
    const Epetra_Comm &comm = from.Comm();
    Epetra_Map tmap(numGlobalRows, numLocalRows, myNewRows, base, comm);

    // importer
    Epetra_Import importer(tmap, smap);


    // target matrix
    // Chris Siefert proposed using the following to make migration 
    // more efficient.  
    // By default, the Domain and Range maps are the same as in "from".
    // As in the original code, we instead set them both to tmap.  
    // The assumption is a square matrix.
    // TODO:  what about rectangular matrices?  
    // TODO:  Should choice of domain/range maps be an option to this function?

    RCP<Epetra_CrsMatrix> M = rcp(new Epetra_CrsMatrix(from, importer,
                                                       &tmap, &tmap));

    // Original way we did it:
    //
    // int oldNumElts = smap.NumMyElements();
    //
    // // number of non zeros in my new rows
    // Epetra_Vector numOld(smap);
    // Epetra_Vector numNew(tmap);
    //
    // for (int lid=0; lid < oldNumElts; lid++){
    //   numOld[lid] = from.NumMyEntries(lid);
    // }
    // numNew.Import(numOld, importer, Insert);
    //
    // int newNumElts = numLocalRows;
    // Array<int> nnz(newNumElts);
    // for (int lid=0; lid < newNumElts; lid++){
    //   nnz[lid] = static_cast<int>(numNew[lid]);
    // }
    //
    // RCP<Epetra_CrsMatrix> M = 
    //     rcp(new Epetra_CrsMatrix(::Copy, tmap, nnz.getRawPtr(), true));
    // M->Import(from, importer, Insert);
    // M->FillComplete();

    return M;
  }
};
#endif

//////////////////////////////////////////////////////////////////////////////
// Xpetra::CrsMatrix
// KDDKDD:  Do we need specializations for Xpetra::EpetraCrsMatrix and
// KDDKDD:  Xpetra::TpetraCrsMatrix
template <typename scalar_t,
          typename lno_t,
          typename gno_t,
          typename node_t>
struct XpetraTraits<Xpetra::CrsMatrix<scalar_t, lno_t, gno_t, node_t> >
{
  typedef Xpetra::CrsMatrix<scalar_t, lno_t, gno_t, node_t> x_matrix_t;
  typedef Xpetra::TpetraCrsMatrix<scalar_t, lno_t, gno_t, node_t> xt_matrix_t;
  typedef Tpetra::CrsMatrix<scalar_t,lno_t,gno_t,node_t> t_matrix_t;

  static inline RCP<x_matrix_t> convertToXpetra(const RCP<x_matrix_t > &a)
  {
    return a;
  }

  static RCP<x_matrix_t> doMigration(const x_matrix_t &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    Xpetra::UnderlyingLib lib = from.getRowMap()->lib();

    if (lib == Xpetra::UseEpetra){
       throw std::logic_error("compiler should have used specialization");
    } else{
      // Do the import with the Tpetra::CrsMatrix traits object
      const xt_matrix_t *xtm = dynamic_cast<const xt_matrix_t *>(&from);
      RCP<const t_matrix_t> tm = xtm->getTpetra_CrsMatrix();

      RCP<t_matrix_t> tmnew = XpetraTraits<t_matrix_t>::doMigration(
        *tm, numLocalRows, myNewRows);

      RCP<x_matrix_t> xmnew = XpetraTraits<t_matrix_t>::convertToXpetra(tmnew);

      return xmnew;
    }
  }
};

//////////////////////////////////////////////////////////////////////////////
// Xpetra::CrsMatrix specialization

template <typename node_t>
struct XpetraTraits<Xpetra::CrsMatrix<double, int, int, node_t> >
{
  typedef double scalar_t;
  typedef int lno_t;
  typedef int gno_t;
  typedef Xpetra::CrsMatrix<scalar_t, lno_t, gno_t, node_t> x_matrix_t;
  typedef Xpetra::TpetraCrsMatrix<scalar_t, lno_t, gno_t, node_t> xt_matrix_t;
  typedef Tpetra::CrsMatrix<scalar_t,lno_t,gno_t,node_t> t_matrix_t;

  static inline RCP<x_matrix_t> convertToXpetra(const RCP<x_matrix_t > &a)
  {
    return a;
  }

  static RCP<x_matrix_t> doMigration(const x_matrix_t &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    Xpetra::UnderlyingLib lib = from.getRowMap()->lib();

    if (lib == Xpetra::UseEpetra){
#if defined(HAVE_ZOLTAN2_EPETRA) && defined(HAVE_XPETRA_EPETRA)
      typedef Epetra_CrsMatrix e_matrix_t;
      typedef Xpetra::EpetraCrsMatrixT<gno_t,node_t> xe_matrix_t;
      // Do the import with the Epetra_CrsMatrix traits object
      const xe_matrix_t *xem = dynamic_cast<const xe_matrix_t *>(&from);
      RCP<const e_matrix_t> em = xem->getEpetra_CrsMatrix();

      RCP<e_matrix_t> emnew = XpetraTraits<e_matrix_t>::doMigration(
        *em, numLocalRows, myNewRows);

      RCP<x_matrix_t> xmnew = XpetraTraits<e_matrix_t>::convertToXpetra(emnew);

      return xmnew;
#else
      throw std::runtime_error("Xpetra with Epetra requested, but "
                               "Trilinos is not built with Epetra");
#endif
    } else{
      // Do the import with the Tpetra::CrsMatrix traits object
      const xt_matrix_t *xtm = dynamic_cast<const xt_matrix_t *>(&from);
      RCP<const t_matrix_t> tm = xtm->getTpetra_CrsMatrix();

      RCP<t_matrix_t> tmnew = XpetraTraits<t_matrix_t>::doMigration(
        *tm, numLocalRows, myNewRows);

      RCP<x_matrix_t> xmnew = XpetraTraits<t_matrix_t>::convertToXpetra(tmnew);

      return xmnew;
    }
  }
};


//////////////////////////////////////////////////////////////////////////////
// Tpetra::CrsGraph
template <typename lno_t,
          typename gno_t,
          typename node_t>
struct XpetraTraits<Tpetra::CrsGraph<lno_t, gno_t, node_t> >
{
  typedef typename Xpetra::CrsGraph<lno_t, gno_t, node_t> xgraph_t;
  typedef typename Xpetra::TpetraCrsGraph<lno_t, gno_t, node_t> xtgraph_t;
  typedef typename Tpetra::CrsGraph<lno_t, gno_t, node_t> tgraph_t;

  static inline RCP<xgraph_t> convertToXpetra(const RCP<tgraph_t> &a)
    {
      return rcp(new xtgraph_t(a));
    }

  static RCP<tgraph_t> doMigration(const tgraph_t &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    typedef Tpetra::Map<lno_t, gno_t, node_t> map_t;

    // source map
    const RCP<const map_t> &smap = from.getRowMap();
    int oldNumElts = smap->getNodeNumElements();
    gno_t numGlobalRows = smap->getGlobalNumElements();
    gno_t base = smap->getMinAllGlobalIndex();

    // target map
    ArrayView<const gno_t> rowList(myNewRows, numLocalRows);
    const RCP<const Teuchos::Comm<int> > &comm = from.getComm();
    RCP<const map_t> tmap = rcp(new map_t(numGlobalRows, rowList, base, comm));

    // importer
    Tpetra::Import<lno_t, gno_t, node_t> importer(smap, tmap);

    // number of entries in my new rows
    typedef Tpetra::Vector<gno_t, lno_t, gno_t, node_t> vector_t;
    vector_t numOld(smap);
    vector_t numNew(tmap);
    for (int lid=0; lid < oldNumElts; lid++){
      numOld.replaceGlobalValue(smap->getGlobalElement(lid),
        from.getNumEntriesInLocalRow(lid));
    }
    numNew.doImport(numOld, importer, Tpetra::INSERT);

    size_t numElts = tmap->getNodeNumElements();
    ArrayRCP<const gno_t> nnz;
    if (numElts > 0)
      nnz = numNew.getData(0);    // hangs if vector len == 0

    ArrayRCP<const size_t> nnz_size_t;

    if (numElts && sizeof(gno_t) != sizeof(size_t)){
      size_t *vals = new size_t [numElts];
      nnz_size_t = arcp(vals, 0, numElts, true);
      for (size_t i=0; i < numElts; i++){
        vals[i] = static_cast<size_t>(nnz[i]);
      }
    }
    else{
      nnz_size_t = arcp_reinterpret_cast<const size_t>(nnz);
    }

    // target graph
    RCP<tgraph_t> G = rcp(new tgraph_t(tmap, nnz_size_t, Tpetra::StaticProfile));

    G->doImport(from, importer, Tpetra::INSERT);
    G->fillComplete();

    return G;
  }

};

//////////////////////////////////////////////////////////////////////////////
#if defined(HAVE_ZOLTAN2_EPETRA) && defined(HAVE_XPETRA_EPETRA)
// Epetra_CrsGraph
template < >
struct XpetraTraits<Epetra_CrsGraph>
{
  typedef InputTraits<Epetra_CrsGraph>::lno_t    lno_t;
  typedef InputTraits<Epetra_CrsGraph>::gno_t    gno_t;
  typedef InputTraits<Epetra_CrsGraph>::node_t   node_t;
  static inline RCP<Xpetra::CrsGraph<lno_t,gno_t,node_t> >
  convertToXpetra(const RCP<Epetra_CrsGraph> &a)
  {
    RCP<Xpetra::EpetraCrsGraphT<gno_t, node_t> > xa;
    try {
      xa = rcp(new Xpetra::EpetraCrsGraphT<gno_t, node_t>(a));
    }
    catch (std::exception &e) {
      if (std::is_same<node_t, Xpetra::EpetraNode>::value)
        throw std::runtime_error(std::string("Cannot convert from "
                                             "Epetra_CrsGraph to "
                                             "Xpetra::EpetraCrsGraphT\n")
                               + e.what());
      else
        throw std::runtime_error(std::string("Cannot convert from "
                                             "Epetra_CrsGraph to "
                                             "Xpetra::EpetraCrsGraphT\n"
                                             "Use node_t that is supported by "
                                             "Xpetra with Epetra classes\n")
                               + e.what());
    }
    return xa;
  }

  static RCP<Epetra_CrsGraph> doMigration(const Epetra_CrsGraph &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    // source map
    const Epetra_BlockMap &smap = from.RowMap();
    gno_t numGlobalRows = smap.NumGlobalElements();
    lno_t oldNumElts = smap.NumMyElements();
    int base = smap.MinAllGID();

    // target map
    const Epetra_Comm &comm = from.Comm();
    Epetra_BlockMap tmap(numGlobalRows, numLocalRows, myNewRows, 1, base, comm);
    lno_t newNumElts = tmap.NumMyElements();

    // importer
    Epetra_Import importer(tmap, smap);

    // number of non zeros in my new rows
    Epetra_Vector numOld(smap);
    Epetra_Vector numNew(tmap);

    for (int lid=0; lid < oldNumElts; lid++){
      numOld[lid] = from.NumMyIndices(lid);
    }
    numNew.Import(numOld, importer, Insert);

    Array<int> nnz(newNumElts);
    for (int lid=0; lid < newNumElts; lid++){
      nnz[lid] = static_cast<int>(numNew[lid]);
    }

    // target graph
    RCP<Epetra_CrsGraph> G = rcp(new Epetra_CrsGraph(::Copy, tmap, nnz.getRawPtr(), true));
    G->Import(from, importer, Insert);
    G->FillComplete();

    return G;
  }

};
#endif

//////////////////////////////////////////////////////////////////////////////
// Xpetra::CrsGraph
// KDDKDD Do we need specializations for Xpetra::TpetraCrsGraph and
// KDDKDD Xpetra::EpetraCrsGraph?
template <typename lno_t,
          typename gno_t,
          typename node_t>
struct XpetraTraits<Xpetra::CrsGraph<lno_t, gno_t, node_t> >
{
  typedef Xpetra::CrsGraph<lno_t, gno_t, node_t> x_graph_t;
  typedef Xpetra::TpetraCrsGraph<lno_t, gno_t, node_t> xt_graph_t;
  typedef Tpetra::CrsGraph<lno_t,gno_t,node_t> t_graph_t;

  static inline RCP<x_graph_t> convertToXpetra(const RCP<x_graph_t> &a)
  {
    return a;
  }

  static RCP<x_graph_t> doMigration(const x_graph_t &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    Xpetra::UnderlyingLib lib = from.getRowMap()->lib();

    if (lib == Xpetra::UseEpetra){
       throw std::logic_error("compiler should have used specialization");
    } else{
      // Do the import with the Tpetra::CrsGraph traits object
      const xt_graph_t *xtg = dynamic_cast<const xt_graph_t *>(&from);
      RCP<const t_graph_t> tg = xtg->getTpetra_CrsGraph();

      RCP<t_graph_t> tgnew = XpetraTraits<t_graph_t>::doMigration(
        *tg, numLocalRows, myNewRows);

      RCP<x_graph_t> xgnew = XpetraTraits<t_graph_t>::convertToXpetra(tgnew);
      return xgnew;
    }
  }
};


//////////////////////////////////////////////////////////////////////////////
// Xpetra::CrsGraph specialization
template < typename node_t>
struct XpetraTraits<Xpetra::CrsGraph<int, int, node_t> >
{
  typedef int lno_t;
  typedef int gno_t;
  typedef Xpetra::CrsGraph<lno_t, gno_t, node_t> x_graph_t;
  typedef Xpetra::TpetraCrsGraph<lno_t, gno_t, node_t> xt_graph_t;
  typedef Tpetra::CrsGraph<lno_t,gno_t,node_t> t_graph_t;

  static inline RCP<x_graph_t> convertToXpetra(const RCP<x_graph_t> &a)
  {
    return a;
  }

  static RCP<x_graph_t> doMigration(const x_graph_t &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    Xpetra::UnderlyingLib lib = from.getRowMap()->lib();

    if (lib == Xpetra::UseEpetra){
#if defined(HAVE_ZOLTAN2_EPETRA) && defined(HAVE_XPETRA_EPETRA)
      typedef Xpetra::EpetraCrsGraphT<gno_t,node_t> xe_graph_t;
      typedef Epetra_CrsGraph e_graph_t;
      // Do the import with the Epetra_CrsGraph traits object
      const xe_graph_t *xeg = dynamic_cast<const xe_graph_t *>(&from);
      RCP<const e_graph_t> eg = xeg->getEpetra_CrsGraph();

      RCP<e_graph_t> egnew = XpetraTraits<e_graph_t>::doMigration(
        *eg, numLocalRows, myNewRows);

      RCP<x_graph_t> xgnew = XpetraTraits<e_graph_t>::convertToXpetra(egnew);

      return xgnew;
#else
      throw std::runtime_error("Xpetra with Epetra requested, but "
                               "Trilinos is not built with Epetra");
#endif
    } else{
      // Do the import with the Tpetra::CrsGraph traits object
      const xt_graph_t *xtg = dynamic_cast<const xt_graph_t *>(&from);
      RCP<const t_graph_t> tg = xtg->getTpetra_CrsGraph();

      RCP<t_graph_t> tgnew = XpetraTraits<t_graph_t>::doMigration(
        *tg, numLocalRows, myNewRows);

      RCP<x_graph_t> xgnew = XpetraTraits<t_graph_t>::convertToXpetra(tgnew);

      return xgnew;
    }
  }
};

//////////////////////////////////////////////////////////////////////////////
// Tpetra::Vector
template <typename scalar_t,
          typename lno_t,
          typename gno_t,
          typename node_t>
struct XpetraTraits<Tpetra::Vector<scalar_t, lno_t, gno_t, node_t> >
{
  typedef Tpetra::Vector<scalar_t, lno_t, gno_t, node_t> t_vector_t;
  typedef Xpetra::TpetraVector<scalar_t, lno_t, gno_t, node_t> xt_vector_t;
  typedef Xpetra::Vector<scalar_t, lno_t, gno_t, node_t> x_vector_t;

  static inline RCP<x_vector_t> convertToXpetra(const RCP<t_vector_t> &a)
  {
    return rcp(new xt_vector_t(a));
  }

  static RCP<t_vector_t> doMigration(const t_vector_t &from,
      size_t numLocalElts, const gno_t *myNewElts)
  {
    typedef Tpetra::Map<lno_t, gno_t, node_t> map_t;

    // source map
    const RCP<const map_t> &smap = from.getMap();
    gno_t numGlobalElts = smap->getGlobalNumElements();
    gno_t base = smap->getMinAllGlobalIndex();

    // target map
    ArrayView<const gno_t> eltList(myNewElts, numLocalElts);
    const RCP<const Teuchos::Comm<int> > comm = from.getMap()->getComm();
    RCP<const map_t> tmap = rcp(new map_t(numGlobalElts, eltList, base, comm));

    // importer
    Tpetra::Import<lno_t, gno_t, node_t> importer(smap, tmap);

    // target vector
    RCP<t_vector_t> V =
      Tpetra::createVector<scalar_t,lno_t,gno_t,node_t>(tmap);
    V->doImport(from, importer, Tpetra::INSERT);

    return V;
  }
};

//////////////////////////////////////////////////////////////////////////////
#if defined(HAVE_ZOLTAN2_EPETRA) && defined(HAVE_XPETRA_EPETRA)
// Epetra_Vector
template < >
struct XpetraTraits<Epetra_Vector>
{
  typedef InputTraits<Epetra_Vector>::lno_t    lno_t;
  typedef InputTraits<Epetra_Vector>::gno_t    gno_t;
  typedef InputTraits<Epetra_Vector>::node_t   node_t;
  typedef InputTraits<Epetra_Vector>::scalar_t   scalar_t;

  typedef Xpetra::Vector<scalar_t, lno_t, gno_t, node_t> x_vector_t;

  static inline RCP<x_vector_t> convertToXpetra(const RCP<Epetra_Vector> &a)
  {
    RCP<Xpetra::EpetraVectorT<gno_t, node_t> > xev;
    try {
      xev = rcp(new Xpetra::EpetraVectorT<gno_t,node_t>(a));
    }
    catch (std::exception &e) {
      if (std::is_same<node_t, Xpetra::EpetraNode>::value)
        throw std::runtime_error(std::string("Cannot convert from "
                                             "Epetra_Vector to "
                                             "Xpetra::EpetraVectorT\n")
                               + e.what());
      else
        throw std::runtime_error(std::string("Cannot convert from "
                                             "Epetra_Vector to "
                                             "Xpetra::EpetraVectorT\n"
                                             "Use node_t that is supported by "
                                             "Xpetra with Epetra classes\n")
                               + e.what());
    }
    return rcp_implicit_cast<x_vector_t>(xev);
  }

  static RCP<Epetra_Vector> doMigration(const Epetra_Vector &from,
      size_t numLocalElts, const gno_t *myNewElts)
  {
    // source map
    const Epetra_BlockMap &smap = from.Map();
    gno_t numGlobalElts = smap.NumGlobalElements();
    int base = smap.MinAllGID();

    // target map
    const Epetra_Comm &comm = from.Comm();
    const Epetra_BlockMap tmap(numGlobalElts, numLocalElts, myNewElts,
                               1, base, comm);

    // importer
    Epetra_Import importer(tmap, smap);

    // target vector
    RCP<Epetra_Vector> V = rcp(new Epetra_Vector(tmap, true));
    Epetra_CombineMode c = Insert;
    V->Import(from, importer, c);

    return V;
  }
};
#endif

//////////////////////////////////////////////////////////////////////////////
// Xpetra::Vector
template <typename scalar_t,
          typename lno_t,
          typename gno_t,
          typename node_t>
struct XpetraTraits<Xpetra::Vector<scalar_t, lno_t, gno_t, node_t> >
{
  typedef Xpetra::Vector<scalar_t, lno_t, gno_t, node_t> x_vector_t;
  typedef Xpetra::TpetraVector<scalar_t, lno_t, gno_t, node_t> xt_vector_t;
  typedef Tpetra::Vector<scalar_t, lno_t, gno_t, node_t> t_vector_t;

  static inline RCP<x_vector_t> convertToXpetra(const RCP<x_vector_t> &a)
  {
    return a;
  }

  static RCP<x_vector_t> doMigration(const x_vector_t &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    Xpetra::UnderlyingLib lib = from.getMap()->lib();

    if (lib == Xpetra::UseEpetra){
       throw std::logic_error("compiler should have used specialization");
    } else{
      // Do the import with the Tpetra::Vector traits object
      const xt_vector_t *xtv = dynamic_cast<const xt_vector_t *>(&from);
      RCP<const t_vector_t> tv = xtv->getTpetra_Vector();

      RCP<t_vector_t> tvnew = XpetraTraits<t_vector_t>::doMigration(
        *tv, numLocalRows, myNewRows);

      RCP<x_vector_t> xvnew = XpetraTraits<t_vector_t>::convertToXpetra(tvnew);

      return xvnew;
    }
  }
};

//////////////////////////////////////////////////////////////////////////////
// Xpetra::Vector specialization
template <typename node_t>
struct XpetraTraits<Xpetra::Vector<double, int, int, node_t> >
{
  typedef double scalar_t;
  typedef int lno_t;
  typedef int gno_t;
  typedef Xpetra::Vector<scalar_t, lno_t, gno_t, node_t> x_vector_t;
  typedef Xpetra::TpetraVector<scalar_t, lno_t, gno_t, node_t> xt_vector_t;
  typedef Tpetra::Vector<scalar_t, lno_t, gno_t, node_t> t_vector_t;

  static inline RCP<x_vector_t> convertToXpetra(const RCP<x_vector_t> &a)
  {
    return a;
  }

  static RCP<x_vector_t> doMigration(const x_vector_t &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    Xpetra::UnderlyingLib lib = from.getMap()->lib();

    if (lib == Xpetra::UseEpetra){
#if defined(HAVE_ZOLTAN2_EPETRA) && defined(HAVE_XPETRA_EPETRA)
      typedef Epetra_Vector e_vector_t;
      typedef Xpetra::EpetraVectorT<gno_t,node_t> xe_vector_t;
      // Do the import with the Epetra_Vector traits object
      const xe_vector_t *xev = dynamic_cast<const xe_vector_t *>(&from);
      RCP<const e_vector_t> ev = rcp(xev->getEpetra_Vector());

      RCP<e_vector_t> evnew = XpetraTraits<e_vector_t>::doMigration(
        *ev, numLocalRows, myNewRows);

      RCP<x_vector_t> xvnew = XpetraTraits<e_vector_t>::convertToXpetra(evnew);

      return xvnew;
#else
      throw std::runtime_error("Xpetra with Epetra requested, but "
                               "Trilinos is not built with Epetra");
#endif
    } else{
      // Do the import with the Tpetra::Vector traits object
      const xt_vector_t *xtv = dynamic_cast<const xt_vector_t *>(&from);
      RCP<t_vector_t> tv = xtv->getTpetra_Vector();

      RCP<t_vector_t> tvnew = XpetraTraits<t_vector_t>::doMigration(
        *tv, numLocalRows, myNewRows);

      RCP<x_vector_t> xvnew = XpetraTraits<t_vector_t>::convertToXpetra(tvnew);

      return xvnew;
    }
  }
};

//////////////////////////////////////////////////////////////////////////////
// Tpetra::MultiVector
template <typename scalar_t,
          typename lno_t,
          typename gno_t,
          typename node_t>
struct XpetraTraits<Tpetra::MultiVector<scalar_t, lno_t, gno_t, node_t> >
{
  typedef Tpetra::MultiVector<scalar_t, lno_t, gno_t, node_t> t_vector_t;
  typedef Xpetra::TpetraMultiVector<scalar_t, lno_t, gno_t, node_t> xt_vector_t;
  typedef Xpetra::MultiVector<scalar_t, lno_t, gno_t, node_t> x_vector_t;

  static inline RCP<x_vector_t> convertToXpetra(const RCP<t_vector_t> &a)
  {
    return rcp(new xt_vector_t(a));
  }

  static RCP<t_vector_t> doMigration(const t_vector_t &from,
      size_t numLocalElts, const gno_t *myNewElts)
  {
    typedef Tpetra::Map<lno_t, gno_t, node_t> map_t;

    // source map
    const RCP<const map_t> &smap = from.getMap();
    gno_t numGlobalElts = smap->getGlobalNumElements();
    gno_t base = smap->getMinAllGlobalIndex();

    // target map
    ArrayView<const gno_t> eltList(myNewElts, numLocalElts);
    const RCP<const Teuchos::Comm<int> > comm = from.getMap()->getComm();
    RCP<const map_t> tmap = rcp(new map_t(numGlobalElts, eltList, base, comm));

    // importer
    Tpetra::Import<lno_t, gno_t, node_t> importer(smap, tmap);

    // target vector
    RCP<t_vector_t> MV = rcp(
      new t_vector_t(tmap, from.getNumVectors(), true));
    MV->doImport(from, importer, Tpetra::INSERT);

    return MV;
  }
};

//////////////////////////////////////////////////////////////////////////////
#if defined(HAVE_ZOLTAN2_EPETRA) && defined(HAVE_XPETRA_EPETRA)
// Epetra_MultiVector
template < >
struct XpetraTraits<Epetra_MultiVector>
{
  typedef InputTraits<Epetra_MultiVector>::lno_t    lno_t;
  typedef InputTraits<Epetra_MultiVector>::gno_t    gno_t;
  typedef InputTraits<Epetra_MultiVector>::node_t   node_t;
  typedef InputTraits<Epetra_MultiVector>::scalar_t   scalar_t;
  typedef Xpetra::MultiVector<scalar_t, lno_t, gno_t, node_t> x_mvector_t;

  static inline RCP<x_mvector_t> convertToXpetra(
    const RCP<Epetra_MultiVector> &a)
  {
    RCP<Xpetra::EpetraMultiVectorT<gno_t, node_t> > xemv;
    try {
      xemv = rcp(new Xpetra::EpetraMultiVectorT<gno_t,node_t>(a));
    }
    catch (std::exception &e) {
      if (std::is_same<node_t, Xpetra::EpetraNode>::value)
        throw std::runtime_error(std::string("Cannot convert from "
                                             "Epetra_MultiVector to "
                                             "Xpetra::EpetraMultiVectorT\n")
                               + e.what());
      else
        throw std::runtime_error(std::string("Cannot convert from "
                                             "Epetra_MultiVector to "
                                             "Xpetra::EpetraMultiVectorT\n"
                                             "Use node_t that is supported by "
                                             "Xpetra with Epetra classes\n")
                               + e.what());
    }
    return rcp_implicit_cast<x_mvector_t>(xemv);
  }

  static RCP<Epetra_MultiVector> doMigration(const Epetra_MultiVector &from,
    size_t numLocalElts, const gno_t *myNewElts)
  {
    // source map
    const Epetra_BlockMap &smap = from.Map();
    gno_t numGlobalElts = smap.NumGlobalElements();
    int base = smap.MinAllGID();

    // target map
    const Epetra_Comm &comm = from.Comm();
    const Epetra_BlockMap tmap(numGlobalElts, numLocalElts, myNewElts,
                               1, base, comm);

    // importer
    Epetra_Import importer(tmap, smap);

    // target vector
    RCP<Epetra_MultiVector> MV = rcp(
      new Epetra_MultiVector(tmap, from.NumVectors(), true));
    Epetra_CombineMode c = Insert;
    MV->Import(from, importer, c);

    return MV;
  }
};
#endif

//////////////////////////////////////////////////////////////////////////////
// Xpetra::MultiVector
template <typename scalar_t,
          typename lno_t,
          typename gno_t,
          typename node_t>
struct XpetraTraits<Xpetra::MultiVector<scalar_t, lno_t, gno_t, node_t> >
{
  typedef Xpetra::MultiVector<scalar_t, lno_t, gno_t, node_t> x_mvector_t;
  typedef Xpetra::TpetraMultiVector<scalar_t, lno_t, gno_t, node_t> xt_mvector_t;
  typedef Tpetra::MultiVector<scalar_t, lno_t, gno_t, node_t> t_mvector_t;

  static inline RCP<x_mvector_t> convertToXpetra(const RCP<x_mvector_t> &a)
  {
    return a;
  }

  static RCP<x_mvector_t> doMigration(const x_mvector_t &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    Xpetra::UnderlyingLib lib = from.getMap()->lib();

    if (lib == Xpetra::UseEpetra){
       throw std::logic_error("compiler should have used specialization");
    } else{
      // Do the import with the Tpetra::MultiVector traits object
      const xt_mvector_t *xtv = dynamic_cast<const xt_mvector_t *>(&from);
      RCP<t_mvector_t> tv = xtv->getTpetra_MultiVector();

      RCP<t_mvector_t> tvnew = XpetraTraits<t_mvector_t>::doMigration(
        *tv, numLocalRows, myNewRows);

      RCP<x_mvector_t> xvnew = XpetraTraits<t_mvector_t>::convertToXpetra(tvnew);

      return xvnew;
    }
  }
};

//////////////////////////////////////////////////////////////////////////////
// Xpetra::MultiVector specialization
template <typename node_t>
struct XpetraTraits<Xpetra::MultiVector<double, int, int, node_t> >
{
  typedef double scalar_t;
  typedef int lno_t;
  typedef int gno_t;
  typedef Xpetra::MultiVector<scalar_t, lno_t, gno_t, node_t> x_mvector_t;
  typedef Xpetra::TpetraMultiVector<scalar_t, lno_t, gno_t, node_t> xt_mvector_t;
  typedef Tpetra::MultiVector<scalar_t, lno_t, gno_t, node_t> t_mvector_t;

  static inline RCP<x_mvector_t> convertToXpetra(const RCP<x_mvector_t> &a)
  {
    return a;
  }

  static RCP<x_mvector_t> doMigration(const x_mvector_t &from,
      size_t numLocalRows, const gno_t *myNewRows)
  {
    Xpetra::UnderlyingLib lib = from.getMap()->lib();

    if (lib == Xpetra::UseEpetra){
#if defined(HAVE_ZOLTAN2_EPETRA) && defined(HAVE_XPETRA_EPETRA)
      typedef Epetra_MultiVector e_mvector_t;
      typedef Xpetra::EpetraMultiVectorT<gno_t,node_t> xe_mvector_t;
      // Do the import with the Epetra_MultiVector traits object
      const xe_mvector_t *xev = dynamic_cast<const xe_mvector_t *>(&from);
      RCP<e_mvector_t> ev = xev->getEpetra_MultiVector();

      RCP<e_mvector_t> evnew = XpetraTraits<e_mvector_t>::doMigration(
        *ev, numLocalRows, myNewRows);

      RCP<x_mvector_t> xvnew = XpetraTraits<e_mvector_t>::convertToXpetra(evnew);

      return xvnew;
#else
      throw std::runtime_error("Xpetra with Epetra requested, but "
                               "Trilinos is not built with Epetra");
#endif
    } else{
      // Do the import with the Tpetra::MultiVector traits object
      const xt_mvector_t *xtv = dynamic_cast<const xt_mvector_t *>(&from);
      RCP<t_mvector_t> tv = xtv->getTpetra_MultiVector();

      RCP<t_mvector_t> tvnew = XpetraTraits<t_mvector_t>::doMigration(
        *tv, numLocalRows, myNewRows);

      RCP<x_mvector_t> xvnew = XpetraTraits<t_mvector_t>::convertToXpetra(tvnew);

      return xvnew;
    }
  }
};

#endif // DOXYGEN_SHOULD_SKIP_THIS

}  //namespace Zoltan2

#endif // _ZOLTAN2_XPETRATRAITS_HPP_