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0001 // ********************************************************************
0002 // * License and Disclaimer                                           *
0003 // *                                                                  *
0004 // * The  Geant4 software  is  copyright of the Copyright Holders  of *
0005 // * the Geant4 Collaboration.  It is provided  under  the terms  and *
0006 // * conditions of the Geant4 Software License,  included in the file *
0007 // * LICENSE and available at  http://cern.ch/geant4/license .  These *
0008 // * include a list of copyright holders.                             *
0009 // *                                                                  *
0010 // * Neither the authors of this software system, nor their employing *
0011 // * institutes,nor the agencies providing financial support for this *
0012 // * work  make  any representation or  warranty, express or implied, *
0013 // * regarding  this  software system or assume any liability for its *
0014 // * use.  Please see the license in the file  LICENSE  and URL above *
0015 // * for the full disclaimer and the limitation of liability.         *
0016 // *                                                                  *
0017 // * This  code  implementation is the result of  the  scientific and *
0018 // * technical work of the GEANT4 collaboration.                      *
0019 // * By using,  copying,  modifying or  distributing the software (or *
0020 // * any work based  on the software)  you  agree  to acknowledge its *
0021 // * use  in  resulting  scientific  publications,  and indicate your *
0022 // * acceptance of all terms of the Geant4 Software license.          *
0023 // ********************************************************************
0024 //
0025 // G4BulirschStoer driver
0026 //
0027 // Class description:
0028 //
0029 // G4IntegrationDriver<G4BulirschStoer> is a concrete driver class using
0030 // Bulirsch-Stoer method to integrate the equation of motion.
0031 
0032 // Author: Dmitry Sorokin (CERN, Google Summer of Code 2016), 13.02.2018
0033 // Supervision: John Apostolakis (CERN)
0034 // --------------------------------------------------------------------
0035 #ifndef G4BULIRSCH_STOER_DRIVER_HH
0036 #define G4BULIRSCH_STOER_DRIVER_HH
0037 
0038 #include "G4IntegrationDriver.hh"
0039 #include "G4BulirschStoer.hh"
0040 #include "G4ChordFinderDelegate.hh"
0041 
0042 /**
0043  * @brief G4IntegrationDriver<G4BulirschStoer> is a concrete driver class
0044  * using the Bulirsch-Stoer method to integrate the equation of motion.
0045  */
0046 
0047 template <>
0048 class G4IntegrationDriver<G4BulirschStoer>: 
0049     public G4VIntegrationDriver,
0050     public G4ChordFinderDelegate<G4IntegrationDriver<G4BulirschStoer>>
0051 {
0052   public:
0053 
0054     /**
0055      * Constructor for the concrete G4IntegrationDriver.
0056      *  @param[in] hminimum The minumum allowed step..
0057      *  @param[in] Boris Pointer to the Bulirsch-Stoer motion algorithm.
0058      *  @param[in] numberOfComponents The number of integration variables.
0059      *  @param[in] verbosity Flag for verbosity.
0060      */
0061     G4IntegrationDriver( G4double hminimum,
0062                          G4BulirschStoer* stepper,
0063                          G4int numberOfComponents = 6,
0064                          G4int statisticsVerbosity = 1);
0065 
0066     /**
0067      * Default Destructor.
0068      */
0069     ~G4IntegrationDriver() = default;
0070 
0071     /**
0072      * Copy constructor and assignment operator not allowed.
0073      */
0074     G4IntegrationDriver(const G4IntegrationDriver&) = delete;
0075     G4IntegrationDriver& operator=(const G4IntegrationDriver&) = delete;
0076 
0077     /**
0078      * Computes the step to take, based on chord limits.
0079      *  @param[in,out] track The current track in field.
0080      *  @param[in] hstep Proposed step length.
0081      *  @param[in] eps Requested accuracy, y_err/hstep.
0082      *  @param[in] chordDistance Maximum sagitta distance.
0083      *  @returns The length of step taken.
0084      */
0085     G4double AdvanceChordLimited(G4FieldTrack& track,
0086                                  G4double hstep,
0087                                  G4double eps,
0088                                  G4double chordDistance) override;
0089 
0090     /**
0091      * Dispatch interface method for initialisation/reset of driver.
0092      */
0093     void OnStartTracking() override;
0094 
0095     /**
0096      * Dispatch interface method for computing step. Does nothing here.
0097      */
0098     void OnComputeStep(const G4FieldTrack* track = nullptr) override;
0099 
0100     /**
0101      * The driver does not implement re-integration. Returns false.
0102      */
0103     G4bool DoesReIntegrate() const override;
0104    
0105     /**
0106      * Advances integration accurately by relative accuracy better than 'eps'.
0107      *  @param[in,out] track The current track in field.
0108      *  @param[in] stepLen Proposed step length.
0109      *  @param[in] eps Requested accuracy, y_err/hstep.
0110      *  @param[in] beginStep Initial minimum integration step.
0111      *  @returns true if integration succeeds.
0112      */
0113     G4bool AccurateAdvance( G4FieldTrack& track,
0114                             G4double stepLen,
0115                             G4double eps,
0116                             G4double beginStep = 0) override;
0117 
0118     /**
0119      * Attempts one integration step, and returns estimated error 'dyerr'.
0120      * It does not ensure accuracy.
0121      *  @param[in,out] y_val The current track in field.
0122      *  @param[in] dydx dydx array.
0123      *  @param[in] hstep Proposed step length.
0124      *  @param[out] missDist Estimated sagitta distance.
0125      *  @param[out] dyerr Estimated error.
0126      *  @returns true if integration succeeds.
0127      */
0128     G4bool QuickAdvance( G4FieldTrack& y_val,
0129                          const G4double dydx[],
0130                          G4double hstep,
0131                          G4double& missDist,
0132                          G4double& dyerr) override;
0133 
0134     /**
0135      * Takes one Step that is as large as possible while satisfying the
0136      * accuracy criterion.
0137      *  @param[in,out] y The current track state, y.
0138      *  @param[in] dydx dydx array.
0139      *  @param[in,out] curveLength Step start, x.
0140      *  @param[in] htry Step to attempt.
0141      *  @param[in] eps The relative accuracy.
0142      *  @param[out] hdid Step achieved.
0143      *  @param[out] hnext Proposed next step.
0144      */
0145     void OneGoodStep( G4double y[],
0146                       const G4double dydx[],
0147                       G4double& curveLength,
0148                       G4double htry,
0149                       G4double eps,
0150                       G4double& hdid,
0151                       G4double& hnext);
0152 
0153     /**
0154      * Getters for derivatives.
0155      */
0156     void GetDerivatives( const G4FieldTrack& track,
0157                                G4double dydx[]) const override;
0158     void GetDerivatives( const G4FieldTrack& track,
0159                                G4double dydx[],
0160                                G4double field[]) const override;
0161 
0162     /**
0163      * Setter and getter for verbosity.
0164      */
0165     void SetVerboseLevel(G4int level) override;
0166     G4int GetVerboseLevel() const override;
0167 
0168     /**
0169      * Computes the new step size .
0170      *  @param[in] errMaxNorm The normalised error.
0171      *  @param[in] hstepCurrent The current step size.
0172      *  @returns The new step size.
0173      */
0174     G4double ComputeNewStepSize(G4double errMaxNorm,
0175                                 G4double hstepCurrent) override;
0176 
0177     /**
0178      * Getters and setter for the equation of motion.
0179      */
0180     G4EquationOfMotion* GetEquationOfMotion() override;
0181     const G4EquationOfMotion* GetEquationOfMotion() const;
0182     void SetEquationOfMotion(G4EquationOfMotion* equation) override;
0183 
0184     /**
0185      * Getters for the stepper.
0186      */
0187     const G4MagIntegratorStepper* GetStepper() const override;
0188     G4MagIntegratorStepper* GetStepper() override;
0189 
0190     /**
0191      * Writes out to stream the parameters/state of the driver.
0192      */
0193     void StreamInfo( std::ostream& os ) const override;
0194    
0195   private:
0196 
0197     G4int GetNumberOfVarialbles() const;
0198 
0199     G4double fMinimumStep;
0200     G4double fVerbosity;
0201 
0202     G4ModifiedMidpoint fMidpointMethod;
0203     G4BulirschStoer* bulirschStoer;
0204 
0205     G4double yIn[G4FieldTrack::ncompSVEC],
0206              yMid[G4FieldTrack::ncompSVEC],
0207              yMid2[G4FieldTrack::ncompSVEC],
0208              yOut[G4FieldTrack::ncompSVEC],
0209              yOut2[G4FieldTrack::ncompSVEC],
0210              yError[G4FieldTrack::ncompSVEC];
0211 
0212 
0213     G4double dydxCurrent[G4FieldTrack::ncompSVEC];
0214     G4double yCurrent[G4FieldTrack::ncompSVEC];
0215 
0216     G4double derivs[2][6][G4FieldTrack::ncompSVEC];
0217 
0218     const G4int interval_sequence[2];
0219 
0220     using ChordFinderDelegate =
0221           G4ChordFinderDelegate<G4IntegrationDriver<G4BulirschStoer>>;
0222 };
0223 
0224 #include "G4BulirschStoerDriver.icc"
0225 
0226 #endif