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// ***********************************************************************
//
// Moocho: Multi-functional Object-Oriented arCHitecture for Optimization
// Copyright (2003) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// This library is free software; you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 2.1 of the
// License, or (at your option) any later version.
//
// This library is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
// USA
// Questions? Contact Roscoe A. Bartlett (rabartl@sandia.gov)
//
// ***********************************************************************
// @HEADER
#ifndef ALAP_PERMUTATION_H
#define ALAP_PERMUTATION_H
#include "AbstractLinAlgPack_Types.hpp"
namespace AbstractLinAlgPack {
/** \brief Abstract interface to permutation matrices.
*
* A \c Permutation object is used to permute the elements within
* a vector. It is not a general linear operator since it does not
* map between vector spaces. It only permutes elements within the same
* vector space.
*/
class Permutation {
public:
/** \brief . */
virtual ~Permutation() {}
/** @name Vector space */
//@{
/** \brief Return a reference to a vector space object that this permutation is compatible with.
*/
virtual const VectorSpace& space() const = 0;
//@}
/** @name Information */
//@{
/// Return the dimension of the permutation.
virtual size_type dim() const = 0;
/// Returns true if \c this is the identity permutation \a I.
virtual bool is_identity() const = 0;
/// Prints debug type of information
virtual std::ostream& output(std::ostream& out) const = 0;
//@}
/** @name Vector permutations */
//@{
/** \brief Permute a vector <tt>op(P)*x -> y</tt>
*
* @param P_trans [in] <tt>op(P) = P</tt> for <tt>P_trans == BLAS_Cpp::no_trans</tt> or
* <tt>op(P) = P'</tt> for <tt>P_trans == BLAS_Cpp::trans</tt>.
* @param x [in] Vector.
* @param y [out] Vector.
*
* Preconditions:<ul>
* <li> <tt>y != NULL</tt> (throw <tt>std::invalid_argument</tt>)
* <li> <tt>x.space().is_compatible(this->space()) == true</tt>
* (throw <tt>VectorSpace::IncompatibleVectorSpaces</tt>)
* <li> <tt>y->space().is_compatible(this->space()) == true</tt>
* (throw <tt>VectorSpace::IncompatibleVectorSpaces</tt>)
* </ul>
*/
virtual void permute(
BLAS_Cpp::Transp P_trans
,const Vector &x
,VectorMutable *y
) const = 0;
/** \brief Permute a vector <tt>op(P)*y -> y</tt>
*
* @param P_trans [in] <tt>op(P) = P</tt> for <tt>P_trans == BLAS_Cpp::no_trans</tt> or
* <tt>op(P) = P'</tt> for <tt>P_trans == BLAS_Cpp::trans</tt>.
* @param y [in/out] Vector.
*
* Preconditions:<ul>
* <li> <tt>y != NULL</tt> (throw <tt>std::invalid_argument</tt>)
* <li> <tt>y->space().is_compatible(this->space()) == true</tt>
* (throw <tt>VectorSpace::IncompatibleVectorSpaces</tt>)
* </ul>
*/
virtual void permute(
BLAS_Cpp::Transp P_trans
,VectorMutable *y
) const = 0;
//@}
}; // end class Permutation
} // end namespace AbstractLinAlgPack
#endif // ALAP_PERMUTATION_H
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