G4DormandPrinceRK78.hh

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//  Description of G4DormandPrinceRK78 class
//
//  Implementation of Dormand-Prince 8(7)13M non-FSAL RK method
//    Author: Somnath Banerjee
//    Supported by Google as part of Google Summer of Code 2015.
//    Supervision / code review: John Apostolakis
//
//  Implements a 13 stage embedded explicit Runge-Kutta method, 
//    using a pair of 7th and 8th order formulae
//
//  Paper proposing this RK scheme:
//     Title:    "High order embedded Runge-Kutta formulae",
//     Authors:  P.J. Prince, J.R. Dormand
//     Journal of Computational and Applied Mathematics, Volume 7, Issue 1, 1981,
//       Pages 67-75, ISSN 0377-0427,
//     Reference:  DOI: 10.1016/0771-050X(81)90010-3
//       http://dx.doi.org/10.1016/0771-050X(81)90010-3.
//       (http://www.sciencedirect.com/science/article/pii/0771050X81900103)
//
//  Created by Somnath on 30/06/15.

#ifndef G4Dormand_Prince_RK78_hh
#define G4Dormand_Prince_RK78_hh

#include "G4MagIntegratorStepper.hh"

class G4DormandPrinceRK78 : public G4MagIntegratorStepper
{
  public:
    G4DormandPrinceRK78(G4EquationOfMotion *EqRhs,
                     G4int numberOfVariables = 6,
                     G4bool primary =  true);
    ~G4DormandPrinceRK78();
    
    void Stepper( const G4double y[],
                 const G4double dydx[],
                 G4double h,
                 G4double yout[],
                 G4double yerr[]) ;

    G4double  DistChord()   const;
    G4int IntegratorOrder() const {return 7; }
    
 private :  
    G4DormandPrinceRK78(const G4DormandPrinceRK78&);
    G4DormandPrinceRK78& operator=(const G4DormandPrinceRK78&);
    
    G4double *ak2,   *ak3,  *ak4,  *ak5,  *ak6,  *ak7, *ak8,
             *ak9,   *ak10, *ak11, *ak12, *ak13,
             *yTemp, *yIn;

    G4double fLastStepLength;
    G4double *fLastInitialVector, *fLastFinalVector,
             *fLastDyDx,     *fMidVector,   *fMidError;
    // for DistChord calculations

    G4DormandPrinceRK78* fAuxStepper;
};

#endif /* defined(__G4_DormandPrinceRK78_hh) */