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//
// G4MagInt_Driver
//
// Class description:
//
// Provides a driver that talks to the Integrator Stepper, and insures that 
// the error is within acceptable bounds.

// V.Grichine, 07.10.1996 - Created
// W.Wander, 28.01.1998 - Added ability for low order integrators
// J.Apostolakis, 08.11.2001 - Respect minimum step in AccurateAdvance
// --------------------------------------------------------------------
#ifndef G4MAGINT_DRIVER_HH
#define G4MAGINT_DRIVER_HH

#include "G4VIntegrationDriver.hh"
#include "G4MagIntegratorStepper.hh"
#include "G4ChordFinderDelegate.hh"

class G4MagInt_Driver : public G4VIntegrationDriver,
                        public G4ChordFinderDelegate<G4MagInt_Driver>
{
  public:  // with description

    G4MagInt_Driver(G4double hminimum,
                    G4MagIntegratorStepper* pItsStepper,
                    G4int numberOfComponents = 6,
                    G4int statisticsVerbosity = 0);
    virtual ~G4MagInt_Driver() override;
      // Constructor, destructor.

    G4MagInt_Driver(const G4MagInt_Driver&) = delete;
    G4MagInt_Driver& operator=(const G4MagInt_Driver&) = delete;

    inline virtual G4double AdvanceChordLimited(G4FieldTrack& track, 
                                         G4double stepMax, 
                                         G4double epsStep,
                                         G4double chordDistance) override;

    inline virtual void OnStartTracking() override;
    inline virtual void  OnComputeStep() override {};
    virtual G4bool DoesReIntegrate() override { return true; }
   
    virtual G4bool AccurateAdvance(G4FieldTrack& y_current,
                                   G4double hstep,
                                   G4double eps,  // Requested y_err/hstep
                                   G4double hinitial = 0.0) override;
      // Above drivers for integrator (Runge-Kutta) with stepsize control.
      // Integrates ODE starting values y_current
      // from current s (s=s0) to s=s0+h with accuracy eps.
      // On output ystart is replaced by value at end of interval.
      // The concept is similar to the odeint routine from NRC p.721-722.

    virtual G4bool QuickAdvance(G4FieldTrack& y_val,      // INOUT
                                const G4double dydx[],
                                G4double hstep,
                                G4double& dchord_step,
                                G4double& dyerr) override;
      // QuickAdvance just tries one Step - it does not ensure accuracy.

    G4bool QuickAdvance(G4FieldTrack& y_posvel,   // INOUT
                        const G4double dydx[],
                        G4double hstep,           // IN
                        G4double& dchord_step,
                        G4double& dyerr_pos_sq,
                        G4double& dyerr_mom_rel_sq );
      // New QuickAdvance that also just tries one Step
      //    (so also does not ensure accuracy)
      //    but does return the errors in  position and
      //        momentum (normalised: Delta_Integration(p^2)/(p^2) )

    inline G4double GetHmin() const;
    inline G4double Hmin() const;     // Obsolete
    inline G4double GetSafety() const;
    inline G4double GetPshrnk() const;
    inline G4double GetPgrow() const;
    inline G4double GetErrcon() const;
    virtual void GetDerivatives(const G4FieldTrack& y_curr,      // INput
                                G4double dydx[]) const override; // OUTput

    virtual void GetDerivatives(const G4FieldTrack& track,
                                G4double dydx[],
                                G4double field[]) const override;
    // Accessors

    virtual G4EquationOfMotion* GetEquationOfMotion() override;
    virtual void SetEquationOfMotion(G4EquationOfMotion* equation) override;
   
    virtual void RenewStepperAndAdjust(G4MagIntegratorStepper* pItsStepper) override;
      // Sets a new stepper pItsStepper for this driver. Then it calls
      // ReSetParameters to reset its parameters accordingly.

    inline void ReSetParameters(G4double new_safety = 0.9);
      //  i) sets the exponents (pgrow & pshrnk),
      //     using the current Stepper's order,
      // ii) sets the safety
      // ii) calculates "errcon" according to the above values.

    inline void SetSafety(G4double valS);
    inline void SetPshrnk(G4double valPs);
    inline void SetPgrow (G4double valPg);
    inline void SetErrcon(G4double valEc);
      // When setting safety or pgrow, errcon will be set to a compatible value.

    inline G4double ComputeAndSetErrcon();

    virtual const G4MagIntegratorStepper* GetStepper() const override;
    virtual       G4MagIntegratorStepper* GetStepper() override;

    void OneGoodStep(G4double  ystart[], // Like old RKF45step()
                     const G4double  dydx[],
                     G4double& x,
                     G4double htry,
                     G4double  eps,      //  memb variables ?
                     G4double& hdid,
                     G4double& hnext ) ;
      // This takes one Step that is as large as possible while
      // satisfying the accuracy criterion of:
      // yerr < eps * |y_end-y_start|

    virtual G4double ComputeNewStepSize(G4double errMaxNorm, // normalised
                                        G4double hstepCurrent) override;
      // Taking the last step's normalised error, calculate
      // a step size for the next step.
      // Do not limit the next step's size within a factor of the
      // current one.

    G4double ComputeNewStepSize_WithinLimits(G4double errMaxNorm, // normalised
                                             G4double hstepCurrent);
      // Taking the last step's normalised error, calculate
      // a step size for the next step.
      // Limit the next step's size within a range around the current one.

    inline G4int GetMaxNoSteps() const;
    inline void SetMaxNoSteps(G4int val);
      // Modify and Get the Maximum number of Steps that can be
      // taken for the integration of a single segment -
      // (i.e. a single call to AccurateAdvance).

  public:  // without description

    inline void SetHmin(G4double newval);
    virtual void SetVerboseLevel(G4int newLevel) override;
    virtual G4int GetVerboseLevel() const override;

    inline G4double GetSmallestFraction() const;
    void SetSmallestFraction( G4double val );

  protected:  // without description

    void WarnSmallStepSize(G4double hnext, G4double hstep,
                           G4double h, G4double xDone,
                           G4int noSteps);

    void WarnTooManyStep(G4double x1start, G4double x2end, G4double xCurrent);
    void WarnEndPointTooFar(G4double endPointDist,
                            G4double hStepSize ,
                            G4double epsilonRelative,
                            G4int debugFlag);
      // Issue warnings for undesirable situations

    void PrintStatus(const G4double* StartArr,
                     G4double xstart,
                     const G4double* CurrentArr,
                     G4double xcurrent,
                     G4double requestStep,
                     G4int subStepNo);
    void PrintStatus(const G4FieldTrack& StartFT,
                     const G4FieldTrack& CurrentFT,
                     G4double requestStep,
                     G4int subStepNo);
    void PrintStat_Aux(const G4FieldTrack& aFieldTrack,
                       G4double requestStep,
                       G4double actualStep,
                       G4int subStepNo,
                       G4double subStepSize,
                       G4double dotVelocities);
      // Verbose output for debugging

    void PrintStatisticsReport();
      // Report on the number of steps, maximum errors etc.

#ifdef QUICK_ADV_TWO
     G4bool QuickAdvance(      G4double  yarrin[],     // In
                         const G4double  dydx[],  
                               G4double  hstep,        
                               G4double  yarrout[],    // Out
                               G4double& dchord_step,  // Out
                               G4double& dyerr );      // in length
#endif

  private:

    // ---------------------------------------------------------------
    //  INVARIANTS 

    G4double fMinimumStep = 0.0;
      // Minimum Step allowed in a Step (in absolute units)
    G4double fSmallestFraction = 1.0e-12;    // Expected range 1e-12 to 5e-15
      // Smallest fraction of (existing) curve length - in relative units
      //  below this fraction the current step will be the last

    const G4int fNoIntegrationVariables = 0; // Variables in integration
    const G4int fMinNoVars = 12;             // Minimum number for FieldTrack
    const G4int fNoVars = 0;                 // Full number of variable

    G4int fMaxNoSteps;
    G4int fMaxStepBase = 250;  // was 5000
      // Default maximum number of steps is Base divided by the order of Stepper

    G4double safety;
    G4double pshrnk;   //  exponent for shrinking
    G4double pgrow;    //  exponent for growth
    G4double errcon;
    // Parameters used to grow and shrink trial stepsize.

    G4int fStatisticsVerboseLevel = 0;

    // ---------------------------------------------------------------
    // DEPENDENT Objects

    G4MagIntegratorStepper* pIntStepper = nullptr;

    // ---------------------------------------------------------------
    //  STATE

    unsigned long fNoTotalSteps=0, fNoBadSteps=0;
    unsigned long fNoSmallSteps=0, fNoInitialSmallSteps=0, fNoCalls=0;
    G4double fDyerr_max=0.0, fDyerr_mx2=0.0;
    G4double fDyerrPos_smTot=0.0, fDyerrPos_lgTot=0.0, fDyerrVel_lgTot=0.0;
    G4double fSumH_sm=0.0, fSumH_lg=0.0;
      // Step Statistics

    G4int fVerboseLevel = 0;   // Verbosity level for printing (debug, ..)
      // Could be varied during tracking - to help identify issues

    using ChordFinderDelegate = G4ChordFinderDelegate<G4MagInt_Driver>;
};

#include "G4MagIntegratorDriver.icc"

#endif
