libtrilinos-dev 10.4.0.dfsg-1ubuntu2 / usr / include / trilinos / AbstractLinAlgPack_MatrixSymOp.hpp

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// Moocho: Multi-functional Object-Oriented arCHitecture for Optimization
//                  Copyright (2003) Sandia Corporation
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#ifndef MATRIX_SYM_WITH_OP_H
#define MATRIX_SYM_WITH_OP_H

#include "AbstractLinAlgPack_MatrixOp.hpp"

namespace AbstractLinAlgPack {

/** \brief Interface adding operations specific for a symmetric matrix {abstract}.
 *
 * This interface defines two addition methods to those found in \c MatrixOp:
 *
 * <tt>sym_lhs = alpha * op(gpms_rhs') * M * op(gpms_rhs) + beta * sym_lhs</tt><br>
 * <tt>sym_lhs = alpha * op(mwo_rhs') * M * op(mwo_rhs) + beta * sym_lhs</tt><br>
 *
 * The reason that these methods could not be defined in the \c MatrixOp interface
 * is that the lhs matrix matrix argument \c sym_lhs is only guaranteed to be
 * symmetric if the rhs matrix argument \c M (which is \c this matrix) is guaranteed
 * to be symmetric.  Since a \c MatrixOp matrix object may be unsymmetric (as
 * well as rectangular), it can not implement this operation, only a symmetric
 * matrix can.
 *
 * Clients should use the \ref MatrixSymWithOp_funcs_grp "provided non-member functions"
 * to call the methods and not the methods themselves.
 */
class MatrixSymOp : public virtual MatrixOp {
public:

  /** \brief . */
  using MatrixOp::Mp_StPtMtP;

  /** @name Public types */
  //@{

#ifndef DOXYGEN_COMPILE
  /** \brief . */
  typedef Teuchos::RCP<const MatrixSymOp>    mat_mswo_ptr_t;
  /** \brief . */
  typedef Teuchos::RCP<MatrixSymOp>          mat_mswo_mut_ptr_t;
#endif
  /** \brief . */
  enum EMatRhsPlaceHolder { DUMMY_ARG };

  //@}

  /** @Friends */
  //@{

  /** \brief . */
  friend
  void Mp_StPtMtP(
    MatrixSymOp* sym_lhs, value_type alpha
    ,EMatRhsPlaceHolder dummy_place_holder
    ,const MatrixSymOp& M
    ,const GenPermMatrixSlice& gpms_rhs, BLAS_Cpp::Transp gpms_rhs_trans
    ,value_type beta
    );
  /** \brief . */
  friend
  void Mp_StMtMtM(
    MatrixSymOp* sym_lhs, value_type alpha
    ,EMatRhsPlaceHolder dummy_place_holder
    ,const MatrixSymOp& M
    ,const MatrixOp& mwo_rhs, BLAS_Cpp::Transp mwo_rhs_trans
    ,value_type beta
    );

  //@}

  /** @name Clone */
  //@{

  /** \brief Clone the non-const matrix object (if supported).
   *
   * The default implementation returns NULL which is perfectly acceptable.
   * A matrix object is not required to return a non-NULL value but almost
   * every good matrix implementation will.
   */
  virtual mat_mswo_mut_ptr_t clone_mswo();

  /** \brief Clone the const matrix object (if supported).
   *
   * The behavior of this method is the same as for the non-const version
   * above except it returns a smart pointer to a const matrix object.
   */
  virtual mat_mswo_ptr_t clone_mswo() const;

  //@}

protected:

  /** @name Level-1 BLAS */
  //@{

  /** \brief sym_lhs = alpha * op(gpms_rhs') * M * op(gpms_rhs) + beta * sym_lhs.
    *
    * The default operation is based on Vp_StMtV(...) and assumes
    * that the matrix is symmetric.  Of course, a more efficient implementation
    * is often needed and the sublcass would like to override this.
    */
  virtual void Mp_StPtMtP(
    MatrixSymOp* sym_lhs, value_type alpha
    ,EMatRhsPlaceHolder dummy_place_holder
    ,const GenPermMatrixSlice& gpms_rhs, BLAS_Cpp::Transp gpms_rhs_trans
    ,value_type beta
    ) const;

  //@}

  /** @name Level-3 BLAS */
  //@{

  /** \brief sym_lhs = alpha * op(mwo_rhs') * M * op(mwo_rhs) + beta * sym_lhs.
    *
    * The default operation is based on \c Vp_StMtV() and assumes
    * that the matrix is symmetric.  Of course, a more efficient implementation
    * is often needed and the sublcass would like to override this.
    */
  virtual void Mp_StMtMtM(
    MatrixSymOp* sym_lhs, value_type alpha
    ,EMatRhsPlaceHolder dummy_place_holder
    ,const MatrixOp& mwo_rhs, BLAS_Cpp::Transp mwo_rhs_trans
    ,value_type beta
    ) const;

  //@}

public:

  /** Overridden from MatrixOp */
  //@{
  /// Returns <tt>this->rows()</tt>
  size_type cols() const;
  // Returns <tt>this->space_cols()</tt>
  const VectorSpace& space_rows() const;
  /// Returns <tt>this->clone_mswo()</tt>.
  mat_mut_ptr_t clone();
  /// Returns <tt>this->clone_mswo()</tt>.
  mat_ptr_t clone() const;
  //@}

  /// Calls operator=(MatrixOp&)
  virtual MatrixSymOp& operator=(const MatrixSymOp& M)
  { static_cast<MatrixOp*>(this)->operator=(M); return *this; }

};	// end class MatrixSymOp

/** \defgroup MatrixSymWithOp_funcs_grp Inline nonmeber functions for MatrixSymOp to call methods.
  *
  * These allow nonmember functions to act like virtual functions.
  */
//@{

inline
/// sym_lhs = alpha * op(gpms_rhs') * M * op(gpms_rhs) + beta * sym_lhs.
void Mp_StPtMtP(
  MatrixSymOp* sym_lhs, value_type alpha
  ,MatrixSymOp::EMatRhsPlaceHolder dummy_place_holder
  ,const MatrixSymOp& M
  ,const GenPermMatrixSlice& gpms_rhs, BLAS_Cpp::Transp gpms_rhs_trans
  ,value_type beta = 1.0
  )
{
  M.Mp_StPtMtP(sym_lhs,alpha,dummy_place_holder,gpms_rhs,gpms_rhs_trans,beta);
}

inline
/// sym_lhs = alpha * op(mwo_rhs') * M * op(mwo_rhs) + beta * sym_lhs
void Mp_StMtMtM(
  MatrixSymOp* sym_lhs, value_type alpha
  ,MatrixSymOp::EMatRhsPlaceHolder dummy_place_holder
  ,const MatrixSymOp& M
  ,const MatrixOp& mwo_rhs, BLAS_Cpp::Transp mwo_rhs_trans
  ,value_type beta = 1.0
  )
{
  M.Mp_StMtMtM(sym_lhs,alpha,dummy_place_holder,mwo_rhs,mwo_rhs_trans,beta);
}

//@}

}	// end namespace AbstractLinAlgPack 

#endif	// MATRIX_SYM_WITH_OP_H