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// @HEADER
//
// ***********************************************************************
//
//        MueLu: A package for multigrid based preconditioning
//                  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
//                    Jonathan Hu       (jhu@sandia.gov)
//                    Andrey Prokopenko (aprokop@sandia.gov)
//                    Ray Tuminaro      (rstumin@sandia.gov)
//
// ***********************************************************************
//
// @HEADER
#ifndef MUELU_REFMAXWELL_DECL_HPP
#define MUELU_REFMAXWELL_DECL_HPP

#include "MueLu.hpp"
#include "MueLu_ConfigDefs.hpp"
#include "MueLu_BaseClass.hpp"
#include "MueLu_Utilities.hpp"
#include "MueLu_SaPFactory.hpp"
#include "MueLu_TentativePFactory.hpp"
#include "MueLu_SmootherFactory.hpp"
#include "MueLu_CoalesceDropFactory.hpp"
#include "MueLu_UncoupledAggregationFactory.hpp"
#include "MueLu_TrilinosSmoother.hpp"

#if defined(HAVE_MUELU_TPETRA) && defined(HAVE_MUELU_IFPACK2)

#include "Tpetra_Operator.hpp"
#include "Tpetra_CrsMatrix.hpp"
#include "Tpetra_MultiVector_decl.hpp"
#include "MatrixMarket_Tpetra.hpp"
#include "Xpetra_Matrix.hpp"
#include "Xpetra_MatrixFactory.hpp"
#include "Xpetra_CrsMatrixWrap.hpp"
#include "Xpetra_BlockedCrsMatrix.hpp"
#include "Xpetra_TpetraMultiVector.hpp"
#include "Xpetra_ExportFactory.hpp"

namespace MueLu {

  /*!
    @brief Preconditioner (wrapped as a Tpetra::Operator) for Maxwell's equations in curl-curl form.
    
    This uses a 2x2 block reformulation.

    Reference:
    P. Bochev, J. Hu, C. Siefert, and R. Tuminaro. "An algebraic multigrid approach based on
    a compatible gauge reformulation of Maxwell's equations." SIAM Journal on Scientific
    Computing, 31(1), 557-583.

    @ingroup MueLuAdapters
  */
  template <class Scalar =
              Tpetra::Operator<>::scalar_type,
            class LocalOrdinal =
              typename Tpetra::Operator<Scalar>::local_ordinal_type,
            class GlobalOrdinal =
              typename Tpetra::Operator<Scalar, LocalOrdinal>::global_ordinal_type,
            class Node =
              typename Tpetra::Operator<Scalar, LocalOrdinal, GlobalOrdinal>::node_type>
  class RefMaxwell : public Tpetra::Operator<Scalar,LocalOrdinal,GlobalOrdinal,Node> {

#undef MUELU_REFMAXWELL_SHORT
#include "MueLu_UseShortNames.hpp"

  public:

    typedef Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node>                                        TMap;
    typedef Tpetra::CrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node>                           TCRS;
    typedef Tpetra::RowMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node>                           TROW;
    typedef Tpetra::MultiVector<Scalar,LocalOrdinal,GlobalOrdinal,Node>                         TMV;
    typedef Xpetra::Map<LocalOrdinal,GlobalOrdinal,Node>                                        XMap;
    typedef Xpetra::MultiVector<Scalar,LocalOrdinal,GlobalOrdinal,Node>                         XMV;
    typedef Xpetra::TpetraMultiVector<Scalar,LocalOrdinal,GlobalOrdinal,Node>                   XTMV;
    typedef Xpetra::CrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node>                           XCRS;
    typedef Xpetra::TpetraCrsMatrix<Scalar,LocalOrdinal,GlobalOrdinal,Node>                     XTCRS;
    typedef Xpetra::Matrix<Scalar,LocalOrdinal,GlobalOrdinal,Node>                              XMat;
    typedef Xpetra::CrsMatrixWrap<Scalar,LocalOrdinal,GlobalOrdinal,Node>                       XCrsWrap;

    //! Constructor
    RefMaxwell() :
      Hierarchy11_(Teuchos::null),
      Hierarchy22_(Teuchos::null),
      disable_addon_(true),
      mode_("additive")
    {
    }

    //! Constructor with Hierarchies
    RefMaxwell(Teuchos::RCP<Hierarchy> H11, Teuchos::RCP<Hierarchy> H22) :
      Hierarchy11_(H11),
      Hierarchy22_(H22),
      disable_addon_(false),
      mode_("additive")
    {
    }

    /** Constructor with Jacobian (with add on)
      *
      * \param[in] SM_Matrix Jacobian
      * \param[in] D0_Matrix Discrete Gradient
      * \param[in] M0inv_Matrix Inverse of lumped nodal mass matrix (add on only)
      * \param[in] M1_Matrix Edge mass matrix for the
      * \param[in] Nullspace Null space (needed for periodic)
      * \param[in] coords Nodal coordinates
      * \param[in] precList Parameter list
      * \param[in] ComputePrec If true, compute the preconditioner immediately
      */
    RefMaxwell(const Teuchos::RCP<TCRS> & SM_Matrix,
               const Teuchos::RCP<TCRS> & D0_Matrix,
               const Teuchos::RCP<TCRS> & M0inv_Matrix,
               const Teuchos::RCP<TCRS> & M1_Matrix,
               const Teuchos::RCP<TMV> & Nullspace,
               const Teuchos::RCP<TMV> & Coords,
               Teuchos::ParameterList& List,
               bool ComputePrec = true)
    {
      initialize(D0_Matrix,M0inv_Matrix,M1_Matrix,Nullspace,Coords,List);

      resetMatrix(SM_Matrix);

      // compute preconditioner (optionally)
      if(ComputePrec)
        compute();
    }

    /** Constructor without Jacobian (with add on)
      *
      * \param[in] D0_Matrix Discrete Gradient
      * \param[in] M0inv_Matrix Inverse of lumped nodal mass matrix (add on only)
      * \param[in] M1_Matrix Edge mass matrix for the
      * \param[in] Nullspace Null space (needed for periodic)
      * \param[in] coords Nodal coordinates
      * \param[in] precList Parameter list
      */
    RefMaxwell(const Teuchos::RCP<TCRS> & D0_Matrix,
               const Teuchos::RCP<TCRS> & M0inv_Matrix,
               const Teuchos::RCP<TCRS> & M1_Matrix,
               const Teuchos::RCP<TMV> & Nullspace,
               const Teuchos::RCP<TMV> & Coords,
               Teuchos::ParameterList& List)
    {
      initialize(D0_Matrix,M0inv_Matrix,M1_Matrix,Nullspace,Coords,List);
    }

    /** Constructor with Jacobian (no add on)
      *
      * \param[in] SM_Matrix Jacobian
      * \param[in] D0_Matrix Discrete Gradient
      * \param[in] M1_Matrix Edge mass matrix for the
      * \param[in] Nullspace Null space (needed for periodic)
      * \param[in] coords Nodal coordinates
      * \param[in] precList Parameter list
      * \param[in] ComputePrec If true, compute the preconditioner immediately
      */
    RefMaxwell(const Teuchos::RCP<TCRS> & SM_Matrix,
               const Teuchos::RCP<TCRS> & D0_Matrix,
               const Teuchos::RCP<TCRS> & M1_Matrix,
               const Teuchos::RCP<TMV>  & Nullspace,
               const Teuchos::RCP<TMV>  & Coords,
               Teuchos::ParameterList& List,
               bool ComputePrec = true)
    {
      initialize(D0_Matrix,Teuchos::null,M1_Matrix,Nullspace,Coords,List);

      resetMatrix(SM_Matrix);

      // compute preconditioner (optionally)
      if(ComputePrec)
        compute();
    }

    /** Constructor without Jacobian (no add on)
      *
      * \param[in] D0_Matrix Discrete Gradient
      * \param[in] M1_Matrix Edge mass matrix for the
      * \param[in] Nullspace Null space (needed for periodic)
      * \param[in] coords Nodal coordinates
      * \param[in] precList Parameter list
      */
    RefMaxwell(const Teuchos::RCP<TCRS> & D0_Matrix,
               const Teuchos::RCP<TCRS> & M1_Matrix,
               const Teuchos::RCP<TMV>  & Nullspace,
               const Teuchos::RCP<TMV>  & Coords,
               Teuchos::ParameterList& List)
    {
      initialize(D0_Matrix,Teuchos::null,M1_Matrix,Nullspace,Coords,List);
    }

    //! Destructor.
    virtual ~RefMaxwell() {}

    //! Returns the Tpetra::Map object associated with the domain of this operator.
    Teuchos::RCP<const Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > getDomainMap() const;

    //! Returns the Tpetra::Map object associated with the range of this operator.
    Teuchos::RCP<const Tpetra::Map<LocalOrdinal,GlobalOrdinal,Node> > getRangeMap() const;

    //! Set parameters
    void setParameters(Teuchos::ParameterList& list);

    //! Setup the preconditioner
    void compute();

    //! Setup the prolongator for the (1,1)-block
    void buildProlongator();

    //! Compute P11^{T}*A*P11 efficiently
    void formCoarseMatrix();

    //! Reset system matrix
    void resetMatrix(Teuchos::RCP<TCRS> SM_Matrix_new);

    //! apply additive algorithm for 2x2 solve
    void applyInverseAdditive(const XTMV& RHS, XTMV& X) const;

    //! apply 1-2-1 algorithm for 2x2 solve
    void applyInverse121(const XTMV& RHS, XTMV& X) const;

    //! apply 2-1-2 algorithm for 2x2 solve
    void applyInverse212(const XTMV& RHS, XTMV& X) const;

    //! Returns in Y the result of a Tpetra::Operator applied to a Tpetra::MultiVector X.
    //! \param[in]  X - Tpetra::MultiVector of dimension NumVectors to multiply with matrix.
    //! \param[out] Y - Tpetra::MultiVector of dimension NumVectors containing result.
    void apply(const Tpetra::MultiVector<Scalar,LocalOrdinal,GlobalOrdinal,Node>& X,
               Tpetra::MultiVector<Scalar,LocalOrdinal,GlobalOrdinal,Node>& Y,
               Teuchos::ETransp mode = Teuchos::NO_TRANS,
               Scalar alpha = Teuchos::ScalarTraits<Scalar>::one(),
               Scalar beta  = Teuchos::ScalarTraits<Scalar>::one()) const;

    //! Indicates whether this operator supports applying the adjoint operator.
    bool hasTransposeApply() const;

    template <class NewNode>
    Teuchos::RCP< RefMaxwell<Scalar, LocalOrdinal, GlobalOrdinal, NewNode> >
    clone (const RCP<NewNode>& new_node) const {
      return Teuchos::rcp (new RefMaxwell<Scalar, LocalOrdinal, GlobalOrdinal, NewNode>
                           (Hierarchy11_->template clone<NewNode> (new_node),
                            Hierarchy22_->template clone<NewNode> (new_node)));
    }

  private:

    /** Initialize with matrices except the Jacobian (don't compute the preconditioner)
      *
      * \param[in] D0_Matrix Discrete Gradient
      * \param[in] M0inv_Matrix Inverse of lumped nodal mass matrix (add on only)
      * \param[in] M1_Matrix Edge mass matrix
      * \param[in] Nullspace Null space (needed for periodic)
      * \param[in] coords Nodal coordinates
      * \param[in] precList Parameter list
      */
    void initialize(const Teuchos::RCP<TCRS> & D0_Matrix,
                    const Teuchos::RCP<TCRS> & M0inv_Matrix,
                    const Teuchos::RCP<TCRS> & M1_Matrix,
                    const Teuchos::RCP<TMV> & Nullspace,
                    const Teuchos::RCP<TMV> & Coords,
                    Teuchos::ParameterList& List);

    //! Two hierarchies: one for the (1,1)-block, another for the (2,2)-block
    Teuchos::RCP<Hierarchy> Hierarchy11_, Hierarchy22_, HierarchySmoother_;
    //! Top Level
    Teuchos::RCP<Level> TopLevel_;
    //! Various matrices
    Teuchos::RCP<XMat> SM_Matrix_, D0_Matrix_, M0inv_Matrix_, M1_Matrix_, Ms_Matrix_;
    Teuchos::RCP<XMat> TMT_Matrix_, TMT_Agg_Matrix_, P11_, A11_, A22_;
    //! Vectors for BCs
    std::vector<LocalOrdinal> BCrows_, BCcols_;
    //! Nullspace
    Teuchos::RCP<XMV>  Nullspace_, Coords_;
    //! Parameter lists
    Teuchos::ParameterList parameterList_, precList11_, precList22_, smootherList_;
    //! Some options
    bool disable_addon_;
    std::string mode_;

  };

} // namespace

#endif //ifdef HAVE_MUELU_TPETRA

#define MUELU_REFMAXWELL_SHORT
#endif // MUELU_REFMAXWELL_DECL_HPP