// @(#)root/minuit2:$Name:  $:$Id: FumiliFCNBase.h,v 1.1 2005/11/29 14:42:18 moneta Exp $
// Authors: M. Winkler, F. James, L. Moneta, A. Zsenei   2003-2005  

/**********************************************************************
 *                                                                    *
 * Copyright (c) 2005 LCG ROOT Math team,  CERN/PH-SFT                *
 *                                                                    *
 **********************************************************************/

#ifndef ROOT_Minuit2_FumiliFCNBase
#define ROOT_Minuit2_FumiliFCNBase

#include "Minuit2/FCNBase.h"
#include "Minuit2/ParametricFunction.h"

namespace ROOT {

   namespace Minuit2 {


/** 
 
Extension of the FCNBase for the Fumili method. Fumili applies only to 
minimization problems used for fitting. The method is based on a 
linearization of the model function negleting second derivatives. 
User needs to provide the model function. The figure-of-merit describing
the difference between the model function and the actual measurements
has to be implemented by the user in a subclass of FumiliFCNBase.
For an example see the FumiliChi2FCN and FumiliStandardChi2FCN classes.


@author  Andras Zsenei and Lorenzo Moneta, Creation date: 23 Aug 2004

@see <A HREF="http://www.cern.ch/winkler/minuit/tutorial/mntutorial.pdf">MINUIT Tutorial</A> on function minimization, section 5

@see FumiliChi2FCN

@see FumiliStandardChi2FCN

@ingroup Minuit

 */



class FumiliFCNBase : public FCNBase {

public:

  /**
     Default Constructor. Need in this case to create when implementing EvaluateAll the Gradient and Hessian vectors with the right size
  */

  FumiliFCNBase()  : fNumberOfParameters(0) {}

  /**

  Constructor which initializes the class with the function provided by the
  user for modeling the data.

  @param npar the number of parameters 

  */


  FumiliFCNBase(unsigned int npar) 
  {
    InitAndReset(npar);
  }



//   FumiliFCNBase(const ParametricFunction& modelFCN) { fModelFunction = &modelFCN; }



  virtual ~FumiliFCNBase() {}




  /**
  
  Evaluate function Value, Gradient and Hessian using Fumili approximation, for values of parameters p
  The resul is cached inside and is return from the FumiliFCNBase::Value ,  FumiliFCNBase::Gradient and 
  FumiliFCNBase::Hessian methods 

  @param par vector of parameters

  **/

  virtual  void EvaluateAll( const std::vector<double> & par ) = 0; 


  /**
   Return cached Value of objective function estimated previously using the  FumiliFCNBase::EvaluateAll method

  **/

  virtual double Value() const { return fValue; } 

  /**
   Return cached Value of function Gradient estimated previously using the  FumiliFCNBase::EvaluateAll method
  **/

  virtual const std::vector<double> & Gradient() const { return fGradient; }

  /**
   Return Value of the i-th j-th element of the Hessian matrix estimated previously using the  FumiliFCNBase::EvaluateAll method
   @param row row Index of the matrix
   @param col col Index of the matrix
  **/

  virtual double Hessian(unsigned int row, unsigned int col) const { 
    assert( row < fGradient.size() && col < fGradient.size() ); 
    if(row > col) 
      return fHessian[col+row*(row+1)/2];
    else
      return fHessian[row+col*(col+1)/2];    
  }

  /**
     return number of function variable (parameters) , i.e. function dimension
   */

  virtual unsigned int Dimension() { return fNumberOfParameters; }

protected : 

  /**
     initialize and reset values of gradien and Hessian
   */

  virtual void InitAndReset(unsigned int npar) {
    fNumberOfParameters = npar;
    fGradient = std::vector<double>(npar); 
    fHessian = std::vector<double>(static_cast<int>( 0.5*npar*(npar+1) ));      
  }

  // methods to be used by the derived classes to set the values 
  void SetFCNValue(double Value) { fValue = Value; }

  std::vector<double> & Gradient() { return fGradient; }

  std::vector<double> & Hessian() { return fHessian; }



 private:

  // A pointer to the model function which describes the data
  const ParametricFunction *fModelFunction;

  // define these data members protected because can be modified by the derived classes 

 private: 

  double fValue; 
  std::vector<double> fGradient; 
  unsigned int fNumberOfParameters; 
  std::vector<double> fHessian;


};

  }  // namespace Minuit2

}  // namespace ROOT

#endif  // ROOT_Minuit2_FumiliFCNBase