libtrilinos-ifpack-dev 12.10.1-3 / usr / include / trilinos / Ifpack_SORa.h

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#ifndef IFPACK_SORA_H
#define IFPACK_SORA_H

#include "Ifpack_ConfigDefs.h"
#include "Ifpack_Preconditioner.h"

#ifdef HAVE_IFPACK_EPETRAEXT
#include "Ifpack_Condest.h"
#include "Ifpack_ScalingType.h"
#include "Epetra_CompObject.h"
#include "Epetra_MultiVector.h"
#include "Epetra_Vector.h"
#include "Epetra_CrsGraph.h"
#include "Epetra_CrsMatrix.h"
#include "Epetra_BlockMap.h"
#include "Epetra_Map.h"
#include "Epetra_Object.h"
#include "Epetra_Comm.h"
#include "Epetra_CrsMatrix.h"
#include "Epetra_Time.h"
#include "Teuchos_RefCountPtr.hpp"
#include "EpetraExt_Transpose_RowMatrix.h"


namespace Teuchos {
  class ParameterList;
}

//! Ifpack_SORa: A class for constructing and using the SORa(alpha,gamma) method.

/*! Ifpack_SORa: A class for constructing and using the SORa(alpha,gamma) method, as described by Johannsen and Wittum (2007).

    \author Chris Siefert, SNL 1431.

    \date Last modified on June 20th, 2010.
*/

class Ifpack_SORa: public Ifpack_Preconditioner {

public:
  // @{ Constructors and destructors.
  //! Constructor
  /*! Though this says Epetra_RowMatrix it must be an Epetra_CrsMatrix.  Errrors will ensue otherwise.
   */
  Ifpack_SORa(Epetra_RowMatrix* A);

  //! Destructor
  ~Ifpack_SORa()
  {
    Destroy();
  }

  // @}
  // @{ Construction methods

  //! Initialize the preconditioner, does not touch matrix values.
  int Initialize();

  //! Returns \c true if the preconditioner has been successfully initialized.
  bool IsInitialized() const
  {
    return(IsInitialized_);
  }

  //! Computes the Hermetian / Skew-Hermetian matrices & builds their preconditioners.
  /*! This function computes the Hermetian / Skew-Hermetian matrices & builds their preconditioners.
   */
  int Compute();

  //! If factor is completed, this query returns true, otherwise it returns false.
  bool IsComputed() const
  {
    return(IsComputed_);
  }

  //! Set parameters using a Teuchos::ParameterList object.
  /* This method is only available if the Teuchos package is enabled.
     This method recognizes four parameter names: relax_value,
     absolute_threshold, relative_threshold and overlap_mode. These names are
     case insensitive, and in each case except overlap_mode, the ParameterEntry
     must have type double. For overlap_mode, the ParameterEntry must have
     type Epetra_CombineMode.
  */
  int SetParameters(Teuchos::ParameterList& parameterlist);

  //! If set true, transpose of this operator will be applied.
  /*! This flag allows the transpose of the given operator to be used implicitly.  Setting this flag
      affects only the Apply() and ApplyInverse() methods.  If the implementation of this interface
      does not support transpose use, this method should return a value of -1.

      \param
       UseTranspose_in - (In) If true, multiply by the transpose of operator, otherwise just use operator.

      \return Always returns 0.
  */
  int SetUseTranspose(bool UseTranspose_in) {UseTranspose_ = UseTranspose_in; return(0);};
  // @}

  // @{ Mathematical functions.
  // Applies the matrix to X, returns the result in Y.
  int Apply(const Epetra_MultiVector& X,
               Epetra_MultiVector& Y) const
  {
    return(Multiply(false,X,Y));
  }

  int Multiply(bool Trans, const Epetra_MultiVector& X,
               Epetra_MultiVector& Y) const{return A_->Multiply(Trans,X,Y);}

  //! Returns the result of a Epetra_Operator inverse applied to an Epetra_MultiVector X in Y.
  /*! In this implementation, we use several existing attributes to determine how virtual
      method ApplyInverse() should call the concrete method Solve().  We pass in the UpperTriangular(),
      the Epetra_CrsMatrix::UseTranspose(), and NoDiagonal() methods. The most notable warning is that
      if a matrix has no diagonal values we assume that there is an implicit unit diagonal that should
      be accounted for when doing a triangular solve.

    \param
           X - (In) A Epetra_MultiVector of dimension NumVectors to solve for.
    \param Out
           Y - (Out) A Epetra_MultiVector of dimension NumVectors containing result.

    \return Integer error code, set to 0 if successful.
  */
  int ApplyInverse(const Epetra_MultiVector& X, Epetra_MultiVector& Y) const;

  //! Computes the estimated condition number and returns the value.
  double Condest(const Ifpack_CondestType CT = Ifpack_Cheap,
                 const int MaxIters = 1550,
                 const double Tol = 1e-9,
                 Epetra_RowMatrix* Matrix_in = 0);

  //! Returns the computed estimated condition number, or -1.0 if not computed.
  double Condest() const
  {
    return(Condest_);
  }

  // @}
  // @{ Query methods

  //! Returns a character string describing the operator
  const char* Label() const {return(Label_);}

  //! Sets label for \c this object.
  int SetLabel(const char* Label_in)
  {
    strcpy(Label_,Label_in);
    return(0);
  }

  //! Returns 0.0 because this class cannot compute Inf-norm.
  double NormInf() const {return(0.0);};

  //! Returns false because this class cannot compute an Inf-norm.
  bool HasNormInf() const {return(false);};

  //! Returns the current UseTranspose setting.
  bool UseTranspose() const {return(UseTranspose_);};

  //! Returns the Epetra_Map object associated with the domain of this operator.
  const Epetra_Map & OperatorDomainMap() const {return(A_->OperatorDomainMap());};

  //! Returns the Epetra_Map object associated with the range of this operator.
  const Epetra_Map & OperatorRangeMap() const{return(A_->OperatorRangeMap());};

  //! Returns the Epetra_BlockMap object associated with the range of this matrix operator.
  const Epetra_Comm & Comm() const{return(A_->Comm());};

  //! Returns a reference to the matrix to be preconditioned.
  const Epetra_RowMatrix& Matrix() const
  {
    return(*A_);
  }

  //! Returns the estimate for the maximum eigenvalue
  virtual double GetLambdaMax() const{return LambdaMax_;}

  //! Returns the damping parameter, omega
  virtual double GetOmega() const{if(UseGlobalDamping_) return 12.0/(11.0*LambdaMax_); else return 1.0;}

  //! Prints on stream basic information about \c this object.
  virtual std::ostream& Print(std::ostream& os) const;

  //! Returns the number of calls to Initialize().
  virtual int NumInitialize() const
  {
    return(NumInitialize_);
  }

  //! Returns the number of calls to Compute().
  virtual int NumCompute() const
  {
    return(NumCompute_);
  }

  //! Returns the number of calls to ApplyInverse().
  virtual int NumApplyInverse() const
  {
    return(NumApplyInverse_);
  }

  //! Returns the time spent in Initialize().
  virtual double InitializeTime() const
  {
    return(InitializeTime_);
  }

  //! Returns the time spent in Compute().
  virtual double ComputeTime() const
  {
    return(ComputeTime_);
  }

  //! Returns the time spent in ApplyInverse().
  virtual double ApplyInverseTime() const
  {
    return(ApplyInverseTime_);
  }

  //! Returns the number of flops in the initialization phase.
  virtual double InitializeFlops() const
  {
    return(0.0);
  }

  virtual double ComputeFlops() const
  {
    return(ComputeFlops_);
  }

  virtual double ApplyInverseFlops() const
  {
    return(ApplyInverseFlops_);
  }

private:

  // @}
  // @{ Private methods

  //! Copy constructor (should never be used)
  Ifpack_SORa(const Ifpack_SORa& RHS) :
    Time_(RHS.Comm())
  {}

  //! operator= (should never be used)
  Ifpack_SORa& operator=(const Ifpack_SORa& RHS)
  {
    return(*this);
  }

  //! Destroys all internal data
  void Destroy();

  //! Returns the result of a Ifpack_ILU forward/back solve on a Epetra_MultiVector X in Y.
  /*!
    \param In
    Trans -If true, solve transpose problem.
    \param
    X - (In) A Epetra_MultiVector of dimension NumVectors to solve for.
    \param Out
    Y - (Out) A Epetra_MultiVector of dimension NumVectorscontaining result.

    \return Integer error code, set to 0 if successful.
  */
  int Solve(bool Trans, const Epetra_MultiVector& X, Epetra_MultiVector& Y) const;


#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
  //! Returns the number of global matrix rows.
  int NumGlobalRows() const {return(A_->NumGlobalRows());};

  //! Returns the number of global matrix columns.
  int NumGlobalCols() const {return(A_->NumGlobalCols());};
#endif
  long long NumGlobalRows64() const {return(A_->NumGlobalRows64());};
  long long NumGlobalCols64() const {return(A_->NumGlobalCols64());};

  //! Returns the number of local matrix rows.
  int NumMyRows() const {return(A_->NumMyRows());};

  //! Returns the number of local matrix columns.
  int NumMyCols() const {return(A_->NumMyCols());};

  //! Power method for global damping
  int PowerMethod(const int MaximumIterations,  double& lambda_max,const unsigned int * RngSeed=0);

  //! Returns a reference to the matrix.
  /*  Epetra_RowMatrix& Matrix()
  {
    return(*A_);
    }*/
  template<typename int_type>
  int TCompute();

  // @}
  // @{ Internal data

  //! Pointer to the Epetra_RowMatrix to factorize
  Teuchos::RefCountPtr<Epetra_CrsMatrix> Acrs_;
  Teuchos::RefCountPtr<Epetra_RowMatrix> A_;
  Teuchos::RefCountPtr<Epetra_CrsMatrix> W_; // Strict lower triangle
  Teuchos::RefCountPtr<Epetra_Vector>    Wdiag_;
  Teuchos::ParameterList List_;

  bool UseTranspose_;
  double Condest_;


  //! If \c true, the preconditioner has been successfully initialized.
  bool IsInitialized_;
  //! If \c true, the preconditioner has been successfully computed.
  bool IsComputed_;
  //! Label of \c this object.
  char Label_[160];
  //! Contains the number of successful calls to Initialize().
  int NumInitialize_;
  //! Contains the number of successful call to Compute().
  int NumCompute_;

  //! Contains the parameter alpha.
  double Alpha_;
  //! Contains the parameter gamma.
  double Gamma_;
  //! Number of SORa iterations
  int NumSweeps_;
  //! Is the problem parallel?
  bool IsParallel_;
  //! Do we have OAZ boundary conditions?
  bool HaveOAZBoundaries_;
  //! Should we use additional interprocessor damping?
  bool UseInterprocDamping_;
  //! Should we use additional global damping?
  bool UseGlobalDamping_;
  //! Maximum eigenvalue of iteration matrix for global damping
  double LambdaMax_;
  //! Boost for maximum eigenvalue
  double LambdaMaxBoost_;
  //! Number of Iters for Power Method
  int PowerMethodIters_;

  //! Contains the number of successful call to ApplyInverse().
  mutable int NumApplyInverse_;
  //! Contains the time for all successful calls to Initialize().
  double InitializeTime_;
  //! Contains the time for all successful calls to Compute().
  double ComputeTime_;
  //! Contains the time for all successful calls to ApplyInverse().
  mutable double ApplyInverseTime_;
  //! Contains the number of flops for Compute().
  double ComputeFlops_;
  //! Contain sthe number of flops for ApplyInverse().
  mutable double ApplyInverseFlops_;
  //! Used for timing issues
  mutable Epetra_Time Time_;

};
#else
#endif
#endif /* IFPACK_SORa_H */