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// $Id$
// $Source$

//@HEADER
// ************************************************************************
//
//            LOCA: Library of Continuation Algorithms Package
//                 Copyright (2005) 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.
//
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// 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
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// documentation and/or other materials provided with the distribution.
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// 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
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//@HEADER

#ifndef LOCA_HOMOTOPY_ABSTRACTGROUP_H
#define LOCA_HOMOTOPY_ABSTRACTGROUP_H

#include "LOCA_MultiContinuation_AbstractGroup.H"    // base class

namespace LOCA {

  namespace Homotopy {

    /*!
     * \brief Interface to underlying groups for homotopy calculations
     */
    /*!
     * This abstract class provides an interface for a homotopy technique
     * for solving nonlinear equations.  See LOCA::Homotopy::Group for a
     * description of the technique used.  This class provides a single
     * pure virtual method, augmentJacobianForHomotopy(), which scales the
     * diagonal of the Jacobian by a constant times the identity matrix.
     */
    class AbstractGroup :
      public virtual LOCA::MultiContinuation::AbstractGroup {

    public:

      //! Default constructor.
      AbstractGroup() {}

      //! Destructor
      virtual ~AbstractGroup() {}

      /*!
       * @name Pure virtual methods
       * These methods must be defined by any concrete implementation
       */
      //@{

      /*!
       * \brief Replace Jacobian \f$J\f$ by \f$aJ+bI\f$ where \f$I\f$ is
       * the identity matrix
       */
      virtual NOX::Abstract::Group::ReturnType
      augmentJacobianForHomotopy(double a, double b) = 0;

      //@}

      //! Bring NOX::Abstract::Group::operator=() into scope
      using NOX::Abstract::Group::operator=;

    };
  } // namespace Homotopy
} // namespace LOCA

#endif