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// @HEADER
// ***********************************************************************
// 
// 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 NLP_FIRST_ORDER_INFO_H
#define NLP_FIRST_ORDER_INFO_H

#include "NLPInterfacePack_NLPObjGrad.hpp"
#include "Teuchos_AbstractFactory.hpp"

namespace NLPInterfacePack {
/** \brief NLP first order information interface class {abstract}.
 *
 * <b>Overview:</b>
 *
 * This class adds Jacobian information for the constraints.  This augments the
 * information provided by the \c NLP and \c NLPObjGrad interfaces.  This interface
 * includes access to matrix space objects which must be used by the client
 * to create the matrix objects that are used with this interface.  This
 * totally decouples the client from the implementation of these matrix
 * objects.
 *
 * <b>Client Usage:</b>
 *
 * As with the <tt>NLP</tt> base interface, the <tt>initialize()</tt> method must be called before
 * the %NLP object can be used.
 *
 * The matrix space object returned from \c factory_Gc()must be used to create
 * the matrix objects for \c Gc used with this interface.  Note that the matrix objects
 * returned from this matrix space object can not be expected to be usable until they are
 * passed to the calculation routines.
 *
 * The method \c set_Gc() si used to set a pointer to matrix object to be updated
 * when \c Gc is computed using \c calc_Gc().
 *
 * The number of evaluations of \c Gc using calc_Gc() and calc_Gh() is returned by
 * \c num_Gc_evals().
 * 
 * <b>Subclass developer's notes:</b>
 *
 * In addition to the methods that must be overridden by the \c NLPObjGrad interface
 * (<A HREF="classNLPInterfacePack_1_1NLPObjGradient.html#must_override">see</A>) the following methods
 * must also be overridden: \c factory_Gc(), \c imp_calc_Gc().
 *
 * In addition to the methods that should be overridden from <tt>%NLPObjGrad</tt> by most subclasses
 * (<A HREF="classNLPInterfacePack_1_1NLPObjGradient.html#should_override">see</A>), the following
 * additional methods should be overridden: \c initialize().
 *
 * The following methods should never have to be overridden by most subclasses except in some very
 * specialized situations: \c set_Gc(), \c get_Gc(), \c Gc(), \c num_Gc_evals().
 */
class NLPFirstOrder : virtual public NLPObjGrad {
public:

  /** \brief . */
  typedef Teuchos::RCP<
    const Teuchos::AbstractFactory<MatrixOp> >        mat_fcty_ptr_t;
  /** \brief . */
  typedef Teuchos::RCP<BasisSystem>           basis_sys_ptr_t;

  /** @name Constructors */
  //@{

  /// Initialize to no reference set to calculation quanities
  NLPFirstOrder();

  //@}

  /** @name NLP initialization */
  //@{

  /** \brief Initialize the NLP for its first use.
   *
   * This function implementation should be called by subclass implementations
   * in order to reset counts for \c f(x), \c c(x), \c h(x), \c Gf(x), \c Gc(x)
   * and \c Gh(x) evaluations.  This implementation calls
   * <tt>this->NLPObjGrad::initialize()</tt>
   *
   * Postconditions:<ul>
   * <li> See <tt>NLPObjGrad::initialize()</tt>
   * <li> <tt>this->num_Gc_evals() == 0</tt>
   * <li> <tt>this->num_Gh_evals() == 0</tt>
   * </ul>
   */
  void initialize(bool test_setup);

  //@}

  /** @name Matrix factory objects */
  //@{
  
  /** \brief Return a matrix factory object for creating <tt>Gc</tt>.
   *
   * This method may return <tt>return.get() == NULL</tt> if <tt>m() == 0</tt>.
   * Otherwise, it must must return a valid matrix factory object.
   */
  virtual const mat_fcty_ptr_t factory_Gc() const = 0;

  //@}

  /** @name BasisSystem */
  //@{

  /** \brief Return a <tt>BasisSystem</tt> object compatible with <tt>Gc</tt> and <tt>Gh</tt>.
   *
   * Note that multiple calls to this method may return the same <tt>return.get()</tt>
   * value so the client must not assume that they are unique.
   *
   * The default implementation returns <tt>return.get() == NULL</tt>.
   */
  virtual const basis_sys_ptr_t basis_sys() const;

  //@}

  /** @name <<std aggr>> members for the gradient of the objective function Gc(x) */
  //@{

  /** \brief Set a pointer to a matrix object to be updated when <tt>this->calc_Gc()</tt> is called.
   *
   * @param  Gc  [in] Pointer to matrix of gradients.  May be \c NULL.
   *
   * Preconditions:<ul>
   * <li> <tt>this->is_initialized() == true</tt> (throw <tt>NotInitialized</tt>)
   * <li> [<tt>Gc != NULL</tt>] <tt>Gc->space().is_compatible(*this->factory_Gc(),no_trans) == true</tt>
   *      (throw <tt>VectorSpace::IncompatibleVectorSpaces</tt>)
   * </ul>
   *
   * Postconditions:<ul>
   * <li> <tt>this->get_Gc() == Gc</tt>
   * </ul>
   */
  virtual void set_Gc(MatrixOp* Gc);
  /** \brief Return pointer passed to <tt>this->set_Gc()</tt>.
   *
   * Preconditions:<ul>
   * <li> <tt>this->is_initialized() == true</tt> (throw <tt>NotInitialized</tt>)
   * </ul>
   */
  virtual MatrixOp* get_Gc();
  /** \brief Returns non-<tt>const</tt> <tt>*this->get_Gc()</tt>.
   *
   * Preconditions:<ul>
   * <li> <tt>this->is_initialized() == true</tt> (throw <tt>NotInitialized</tt>)
   * <li> <tt>this->get_Gc() != NULL</tt> (throw <tt>NoRefSet</tt>)
   * </ul>
   */
  virtual MatrixOp& Gc();
  /** \brief Returns <tt>const</tt> <tt>*this->get_Gc()</tt>.
   *
   * Preconditions:<ul>
   * <li> <tt>this->is_initialized() == true</tt> (throw <tt>NotInitialized</tt>)
   * <li> <tt>this->get_Gc() != NULL</tt> (throw <tt>NoRefSet</tt>)
   * </ul>
   */
  virtual const MatrixOp& Gc() const;

  //@}

  /** @name Unset calculation quantities */
  //@{
  
  /** \brief Call to unset all storage quantities (both in this class and all subclasses).
   *
   * Preconditions:<ul>
   * <li> <tt>this->is_initialized() == true</tt> (throw <tt>NotInitialized</tt>)
   * </ul>
   *
   * Postconditions:<ul>
   * <li> See <tt>NLPObjGrad::unset_quantities()</tt>
   * <li> <tt>this->get_Gc() == NULL</tt>
   * </ul>
   *
   * This method must be called by all subclasses that override it.
   */
  void unset_quantities();

  //@}

  /** @name Calculation Members */
  //@{

  /** \brief Update the matrix for \c Gc at the point \c x and put it in the stored reference.
   *
   * @param  x     [in] Point at which to calculate the matrix of gradients <tt>Gc(x)</tt>.
   * @param  newx  [in] (default \c true) If \c false, the values in \c x are assumed to be the same as
   *               the last call to a <tt>this->imp_calc_*(x,newx)</tt> member.
   *               If \c true, the values in \c x are assumed to not be the same as the last call to a
   *               <tt>this->imp_calc_*(x,newx)</tt> member.
   *
   * Preconditions:<ul>
   * <li> <tt>this->is_initialized() == true</tt> (throw <tt>NotInitialized</tt>)
   * <li> <tt>x.space().is_compatible(*this->space_x()) == true</tt> (throw <tt>VectorSpace::IncompatibleVectorSpaces</tt>)
   * <li> <tt>this->get_Gc() != NULL</tt> (throw <tt>NoRefSet</tt>)
   * </ul>
   *
   * Postconditions:<ul>
   * <li> <tt>this->Gc()</tt> is updated to \c Gc(x)
   * </ul>
   *
   * The storage reference for <tt>f</tt> and/or <tt>c</tt> may also be updated at this point
   * (if <tt>get_f() != NULL</tt> and/or <tt>get_c() != NULL</tt>)
   * but is not guarentied to be.  But no other quanities from possible subclasses are allowed
   * to be updated as a side effect.
   */ 
  virtual void calc_Gc(const Vector& x, bool newx = true) const;

  //@}

  /** @name Function evaluation counts */
  //@{

  /** \brief Gradient of constraints matrix \c Gc evaluations count.
   *
   * This function can be called to find out how many evaluations
   * \c this->calc_Gc() the client requested since \c this->initialize() was called.
   */
  virtual size_type num_Gc_evals() const;

  //@}

  /** \brief Struct for zero and first order quantities (pointers)
   */
  struct FirstOrderInfo {
    /** \brief . */
    FirstOrderInfo()
      : Gc(NULL), Gf(NULL), f(NULL), c(NULL)
    {}
    /** \brief . */
    FirstOrderInfo( MatrixOp* Gc_in, const ObjGradInfo& obj_grad )
      : Gc(Gc_in), Gf(obj_grad.Gf), f(obj_grad.f), c(obj_grad.c)
    {}
    /// Pointer to Jacobian of equality constraints <tt>Gc</tt> (may be NULL if not set)
    MatrixOp*           Gc;
    /// Pointer to gradient of objective function <tt>Gf</tt> (may be NULL if not set)
    VectorMutable*      Gf;
    /// Pointer to objective function <tt>f</tt> (may be NULL if not set)
    value_type*         f;
    /// Pointer to equality constraints residule <tt>c</tt> (may be NULL if not set)
    VectorMutable*      c;
  }; // end struct FirstOrderInfo

protected:

  /// Return objective gradient and zero order information.
  const FirstOrderInfo first_order_info() const;

  /** @name Protected methods to be overridden by subclasses */
  //@{

  /** \brief Overridden to compute \a Gc(x) and perhaps \a Gf(x), \a f(x) and \a c(x).
   *
   * Preconditions:<ul>
   * <li> <tt>x.space().is_compatible(*this->space_x())</tt> (throw <tt>IncompatibleType</tt>)
   * <li> <tt>obj_grad_info.Gc != NULL</tt> (throw <tt>std::invalid_argument</tt>)
   * </ul>
   *
   * Postconditions:<ul>
   * <li> <tt>*obj_grad_info.Gc</tt> is updated to \a Gc(x).
   * </ul>
   *
   * @param x       [in]  Unknown vector (size n).
   * @param  newx   [in] (default \c true) If \c false, the values in \c x are assumed to be the same as
   *                the last call to a <tt>this->imp_calc_*(x,newx)</tt> member.
   *                If \c true, the values in \c x are assumed to not be the same as the last call to a
   *                <tt>this->imp_calc_*(x,newx)</tt> member.
   * @param obj_grad_info
   *                [out] Pointers to \c f, \c c, \c Gf and \c Gc
   *                On output <tt>*obj_grad_info.Gc</tt> is updated to \a Gc(x).
   *                Any of the other objects pointed to in \c obj_grad_info may
   *                also be set but are now guaranteed to be.
   */
  virtual void imp_calc_Gc(const Vector& x, bool newx, const FirstOrderInfo& first_order_info) const = 0;

  //@}

private:

#ifdef DOXYGEN_COMPILE
  AbstractLinAlgPack::BasisSystem                            *basis_sys;
  Teuchos::AbstractFactory<AbstractLinAlgPack::MatrixOp>  *factory_Gc;
#endif
  mutable MatrixOp      *Gc_;
  mutable size_type     num_Gc_evals_;

};	// end class NLPFirstOrder

// /////////////////////
// Inline members

inline
const NLPFirstOrder::FirstOrderInfo NLPFirstOrder::first_order_info() const
{
  return FirstOrderInfo(Gc_,obj_grad_info());
}

}	// end namespace NLPInterfacePack 

#endif // NLP_FIRST_ORDER_INFO_H