libtrilinos-thyra-dev 12.4.2-2 / usr / include / trilinos / Thyra_DefaultMultipliedLinearOp_decl.hpp

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#ifndef THYRA_DEFAULT_MULTIPLIED_LINEAR_OP_DECL_HPP
#define THYRA_DEFAULT_MULTIPLIED_LINEAR_OP_DECL_HPP

#include "Thyra_MultipliedLinearOpBase.hpp"
#include "Teuchos_ConstNonconstObjectContainer.hpp"


namespace Thyra {


/** \brief Concrete composite <tt>LinearOpBase</tt> subclass that creates an
 * implicitly multiplied linear operator out of one or more constituent
 * <tt>LinearOpBase</tt> objects.
 *
 * This class represents a multiplied linear operator <tt>M</tt> of the form:

 \verbatim
 
 M = Op[0] * Op[1] * ... * Op[numOps-1]

 \endverbatim

 * where <tt>Op[]</tt> is an array of <tt>numOps</tt> <tt>LinearOp</tt>
 * objects.  Of course the operator <tt>M</tt> is not constructed explicitly
 * but instead just applies the constituent linear operators accordingly using
 * temporaries.
 *
 * In other words, this class defines <tt>apply()</tt> as:

 \verbatim

 y = alpha*M*x + beta*y
   = alpha * ( Op[0] * ( Op[1] * ( .... ( Op[numOps-1] * x ) ... ) ) ) + beta * y

 \endverbatim

 * for the case where <tt>M_trans==NOTRANS</tt> and as:

 \verbatim

 y = alpha*M'*x + beta*y
   = alpha * ( Op[numOps-1]' * ( .... ( Op[1]' * ( Op[0]' * x ) ) ... ) ) + beta * y

 \endverbatim

 * for the case where <tt>real_trans(M_trans)!=NOTRANS</tt> (where the
 * transpose <tt>'</tt> either defines <tt>TRANS</tt> or <tt>CONJTRANS</tt>).
 *
 * Constructing a multiplied operator is easy.  For example, suppose one wants
 * to construct the multiplied operator <tt>D = A * B' * C</tt>.  To do so one
 * would do:

 \code

 template<class Scalar>
 void constructD(
    const RCP<const Thyra::LinearOpBase<Scalar> > &A,
    const RCP<const Thyra::LinearOpBase<Scalar> > &B,
    const RCP<const Thyra::LinearOpBase<Scalar> > &C,
    const Ptr<RCP<const Thyra::LinearOpBase<Scalar> > > &D
    )
 {
   typedef RCP<const Thyra::LinearOpBase<Scalar> > LOB;
   *D = Teuchos::rcp(
     new Thyra::DefaultMultipliedLinearOp<Scalar>(
       Teuchos::tuple<LOB>(A, adjoin(B), C)()
       )
     );
 }

 \endcode

 * Rather than calling the constructor directly, consider using the non-member helper
 * functions described \ref Thyra_Op_Vec_MultipliedLinearOp_helpers_grp "here".
 *
 * \ingroup Thyra_Op_Vec_ANA_Development_grp
 */
template<class Scalar>
class DefaultMultipliedLinearOp : virtual public MultipliedLinearOpBase<Scalar>
{
public:

  /** @name Constructors/initializers/accessors */
  //@{

  /** \brief Constructs to uninitialized.
   *
   * <b>Postconditions:</b><ul>
   * <li><tt>this->numOps()==0</tt>
   * </ul>
   */
  DefaultMultipliedLinearOp();

  /** \brief Initialize given a list of non-const linear operators.
   *
   * \param Ops [in] Array (length <tt>numOps</tt>) of constituent linear
   * operators and their aggregated default definitions of the non-transposed
   * operator.
   *
   * <b>Preconditions:</b><ul>
   * <li><tt>numOps > 0</tt>
   * <li><tt>Ops != NULL</tt>
   * <li><tt>Ops[k].op().get()!=NULL</tt>, for <tt>k=0...numOps-1</tt>
   * </ul>
   *
   * <b>Postconditions:</b><ul>
   * <li><tt>this->numOps()==numOps</tt>
   * <li><tt>this->getOp(k).op().get()==Ops[k].op().get()</tt>, for <tt>k=0...numOps-1</tt>
   * </ul>
   */
  void initialize(const ArrayView<const RCP<LinearOpBase<Scalar> > > &Ops);

  /** \brief Initialize given a list of const linear operators.
   *
   * \param Ops [in] Array (length <tt>numOps</tt>) of constituent linear
   * operators and their aggregated default definitions of the non-transposed
   * operator.
   *
   * <b>Preconditions:</b><ul>
   * <li><tt>numOps > 0</tt>
   * <li><tt>Ops != NULL</tt>
   * <li><tt>Ops[k].op().get()!=NULL</tt>, for <tt>k=0...numOps-1</tt>
   * </ul>
   *
   * <b>Postconditions:</b><ul>
   * <li><tt>this->numOps()==numOps</tt>
   * <li><tt>this->getOp(k).op().get()==Ops[k].op().get()</tt>, for <tt>k=0...numOps-1</tt>
   * </ul>
   */
  void initialize(const ArrayView<const RCP<const LinearOpBase<Scalar> > > &Ops );

  /** \brief Set to uninitialized.
   *
   * <b>Postconditions:</b><ul>
   * <li><tt>this->numOps()==0</tt>
   * </ul>
   */
  void uninitialize();

  //@}

  /** @name Overridden from MultipliedLinearOpBase */
  //@{

  /** \brief . */
  int numOps() const;
  /** \brief . */
  bool opIsConst(const int k) const;
  /** \brief . */
  RCP<LinearOpBase<Scalar> > getNonconstOp(const int k);
  /** \brief . */
  RCP<const LinearOpBase<Scalar> > getOp(const int k) const;

  //@}

  /** @name Overridden from LinearOpBase */
  //@{

  /** \brief Returns <tt>this->getOp(0).range() if <t>this->numOps() > 0</tt>
   * and returns <tt>Teuchos::null</tt> otherwise.
   */
  RCP< const VectorSpaceBase<Scalar> > range() const;

  /** \brief Returns <tt>this->getOp(this->numOps()-1).domain()</tt> if
   * <t>this->numOps() > 0</tt> and returns <tt>Teuchos::null</tt> otherwise.
   */
  RCP< const VectorSpaceBase<Scalar> > domain() const;

  /** \brief . */
  RCP<const LinearOpBase<Scalar> > clone() const;

  //@}

  /** @name Overridden from Teuchos::Describable */
  //@{
                                                
  /** \brief Prints just the name <tt>DefaultMultipliedLinearOp</tt> along with
   * the overall dimensions and the number of constituent operators.
   */
  std::string description() const;

  /** \brief Prints the details about the constituent linear operators.
   *
   * This function outputs different levels of detail based on the value passed in
   * for <tt>verbLevel</tt>:
   *
   * ToDo: Finish documentation!
   */
  void describe(
    Teuchos::FancyOStream &out,
    const Teuchos::EVerbosityLevel verbLevel
    ) const;

  //@}

protected:

  /** @name Overridden from LinearOpBase */
  //@{

  /** \brief Returns <tt>true</tt> only if all constituent operators support
   * <tt>M_trans</tt>.
   */
  bool opSupportedImpl(EOpTransp M_trans) const;

  /** \brief . */
  void applyImpl(
    const EOpTransp M_trans,
    const MultiVectorBase<Scalar> &X,
    const Ptr<MultiVectorBase<Scalar> > &Y,
    const Scalar alpha,
    const Scalar beta
    ) const;

  //@}

public:

private:

  Array<Teuchos::ConstNonconstObjectContainer<LinearOpBase<Scalar> > > Ops_;

  inline void assertInitialized() const;
  inline std::string getClassName() const;
  inline Ordinal getRangeDim() const;
  inline Ordinal getDomainDim() const;

  void validateOps();
  void setupDefaultObjectLabel();

  // Not defined and not to be called
  DefaultMultipliedLinearOp(const DefaultMultipliedLinearOp&);
  DefaultMultipliedLinearOp& operator=(const DefaultMultipliedLinearOp&);

};


/** \brief Nonmember constructor.
 *
 * \relates DefaultMultipliedLinearOp
 */
template<class Scalar>
inline
RCP<DefaultMultipliedLinearOp<Scalar> >
defaultMultipliedLinearOp()
{
  return Teuchos::rcp(new DefaultMultipliedLinearOp<Scalar>);
}


/** \brief Nonmember constructor.
 *
 * \relates DefaultMultipliedLinearOp
 */
template<class Scalar>
RCP<DefaultMultipliedLinearOp<Scalar> >
defaultMultipliedLinearOp(const ArrayView<const RCP<LinearOpBase<Scalar> > > &Ops)
{
  RCP<DefaultMultipliedLinearOp<Scalar> > dmlo = defaultMultipliedLinearOp<Scalar>();
  dmlo->initialize(Ops);
  return dmlo;
}


/** \brief Nonmember constructor.
 *
 * \relates DefaultMultipliedLinearOp
 */
template<class Scalar>
RCP<DefaultMultipliedLinearOp<Scalar> >
defaultMultipliedLinearOp(const ArrayView<const RCP<const LinearOpBase<Scalar> > > &Ops)
{
  RCP<DefaultMultipliedLinearOp<Scalar> > dmlo = defaultMultipliedLinearOp<Scalar>();
  dmlo->initialize(Ops);
  return dmlo;
}


/** \brief Form an implicit multiplication of two linear operators: <tt>M = A
 * * B</tt>.
 *
 * \relates DefaultMultipliedLinearOp
 */
template<class Scalar>
RCP<LinearOpBase<Scalar> >
nonconstMultiply(
  const RCP<LinearOpBase<Scalar> > &A,
  const RCP<LinearOpBase<Scalar> > &B,
  const std::string &M_label = ""
  );


/** \brief Form an implicit multiplication of two linear operators: <tt>M = A
 * * B</tt>.
 *
 * \relates DefaultMultipliedLinearOp
 */
template<class Scalar>
RCP<const LinearOpBase<Scalar> >
multiply(
  const RCP<const LinearOpBase<Scalar> > &A,
  const RCP<const LinearOpBase<Scalar> > &B,
  const std::string &M_label = ""
  );


/** \brief Form an implicit multiplication of three linear operators: <tt>M =
 * A * B * C</tt>.
 *
 * \relates DefaultMultipliedLinearOp
 */
template<class Scalar>
RCP<const LinearOpBase<Scalar> >
multiply(
  const RCP<const LinearOpBase<Scalar> > &A,
  const RCP<const LinearOpBase<Scalar> > &B,
  const RCP<const LinearOpBase<Scalar> > &C,
  const std::string &M_label = ""
  );


}	// end namespace Thyra


#endif	// THYRA_DEFAULT_MULTIPLIED_LINEAR_OP_DECL_HPP