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0001 //
0002 // ********************************************************************
0003 // * License and Disclaimer                                           *
0004 // *                                                                  *
0005 // * The  Geant4 software  is  copyright of the Copyright Holders  of *
0006 // * the Geant4 Collaboration.  It is provided  under  the terms  and *
0007 // * conditions of the Geant4 Software License,  included in the file *
0008 // * LICENSE and available at  http://cern.ch/geant4/license .  These *
0009 // * include a list of copyright holders.                             *
0010 // *                                                                  *
0011 // * Neither the authors of this software system, nor their employing *
0012 // * institutes,nor the agencies providing financial support for this *
0013 // * work  make  any representation or  warranty, express or implied, *
0014 // * regarding  this  software system or assume any liability for its *
0015 // * use.  Please see the license in the file  LICENSE  and URL above *
0016 // * for the full disclaimer and the limitation of liability.         *
0017 // *                                                                  *
0018 // * This  code  implementation is the result of  the  scientific and *
0019 // * technical work of the GEANT4 collaboration.                      *
0020 // * By using,  copying,  modifying or  distributing the software (or *
0021 // * any work based  on the software)  you  agree  to acknowledge its *
0022 // * use  in  resulting  scientific  publications,  and indicate your *
0023 // * acceptance of all terms of the Geant4 Software license.          *
0024 // ********************************************************************
0025 //
0026 // G4HelixImplicitEuler
0027 //
0028 // Class description:
0029 //
0030 //  Helix Implicit Euler stepper for magnetic field:
0031 //        x_1 = x_0 + 1/2 * ( helix(h,t_0,x_0)
0032 //                          + helix(h,t_0+h,x_0+helix(h,t0,x0) ) )
0033 //  Second order solver.
0034 //  Take the current derivative and add it to the current position.
0035 //  Take the output and its derivative. Add the mean of both derivatives
0036 //  to form the final output.
0037 
0038 // Author: W.Wander (MIT), 03.11.1998
0039 // -------------------------------------------------------------------
0040 #ifndef G4HELIXIMPLICITEULER_HH
0041 #define G4HELIXIMPLICITEULER_HH
0042 
0043 #include "G4MagHelicalStepper.hh"
0044 
0045 /**
0046  * @brief G4HelixImplicitEuler implements a helix implicit Euler
0047  * stepper for magnetic field with 2nd order solver.
0048  */
0049 
0050 class G4HelixImplicitEuler : public G4MagHelicalStepper
0051 {
0052   public:
0053 
0054     /**
0055      * Constructor for G4HelixImplicitEuler.
0056      *  @param[in] EqRhs Pointer to the provided equation of motion.
0057      */
0058     G4HelixImplicitEuler(G4Mag_EqRhs* EqRhs);
0059 
0060     /**
0061      * Default Destructor.
0062      */
0063     ~G4HelixImplicitEuler() override = default;
0064   
0065     /**
0066      * The stepper function for the integration.
0067      *  @param[in] y Starting values array of integration variables.
0068      *  @param[in] Bfld Derivatives array.
0069      *  @param[in] h The given step size.
0070      *  @param[out] yout Integration output.
0071      */
0072     void DumbStepper( const G4double y[],
0073                             G4ThreeVector Bfld,
0074                             G4double h,
0075                             G4double yout[] ) override;
0076   
0077     /**
0078      * Returns the order, 2, of integration.
0079      */
0080     inline G4int IntegratorOrder() const override { return 2; }
0081 
0082     /**
0083      * Returns the stepper type-ID, "kHelixImplicitEuler".
0084      */
0085     inline G4StepperType StepperType() const override { return kHelixImplicitEuler; }
0086 };
0087 
0088 #endif