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// $Id: G4HelixImplicitEuler.hh,v 1.8 2006/06/29 18:22:38 gunter Exp $
// GEANT4 tag $Name: geant4-09-04-beta-01 $
//
//
// class G4HelixImplicitEuler
//
// Class description:
//
//  Helix Implicit Euler stepper for magnetic field:
//        x_1 = x_0 + 1/2 * ( helix(h,t_0,x_0)
//                          + helix(h,t_0+h,x_0+helix(h,t0,x0) ) )
//  Second order solver.
//  Take the current derivative and add it to the current position.
//  Take the output and its derivative. Add the mean of both derivatives
//  to form the final output.

// History:
// - Created. W.Wander <wwc@mit.edu>, 03/11/98
// -------------------------------------------------------------------

#ifndef G4HELIXIMPLICITEULER_HH
#define G4HELIXIMPLICITEULER_HH

#include "G4MagHelicalStepper.hh"

class G4HelixImplicitEuler : public G4MagHelicalStepper
{

  public:  // with description

    G4HelixImplicitEuler(G4Mag_EqRhs *EqRhs)
      : G4MagHelicalStepper(EqRhs) {}

    ~G4HelixImplicitEuler() {}
  
    void DumbStepper( const G4double y[],
                            G4ThreeVector  Bfld,
                            G4double       h,
                            G4double       yout[]);
  
  public:  // without description

    G4int IntegratorOrder() const { return 2; }
};

#endif /* G4HELIXIMPLICITEULER_HH */