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// G4FSALDormandPrince745
//
// Class description:
//
// DormandPrince7 - 5(4) FSAL stepper

// Author: Somnath Banerjee (CERN, Google Summer of Code 2015), 25.05.2015
// Supervision: John Apostolakis (CERN)
// --------------------------------------------------------------------
#ifndef G4FSALDORMANDPRINCE745_HH
#define G4FSALDORMANDPRINCE745_HH

#include "G4VFSALIntegrationStepper.hh"

/**
 * @brief G4FSALDormandPrince745 is an integrator of particle's equation of
 * motion based on the DormandPrince7 - 5(4) FSAL implementation.
 */

class G4FSALDormandPrince745 : public G4VFSALIntegrationStepper
{
  public:

    /**
     * Constructor for G4FSALDormandPrince745.
     *  @param[in] EqRhs Pointer to the provided equation of motion.
     *  @param[in] numberOfVariables The number of integration variables.
     *  @param[in] primary Flag for initialisation of the auxiliary stepper.
     */
    G4FSALDormandPrince745(G4EquationOfMotion* EqRhs,
                           G4int numberOfVariables = 6,
                           G4bool primary = true);

    /**
     * Destructor.
     */
    ~G4FSALDormandPrince745() override;

    /**
     * Copy constructor and assignment operator not allowed.
     */
    G4FSALDormandPrince745(const G4FSALDormandPrince745&) = delete;
    G4FSALDormandPrince745& operator=(const G4FSALDormandPrince745&) = delete;

    /**
     * The stepper for the Runge Kutta integration.
     * The stepsize is fixed, with the step size given by 'h'.
     * Integrates ODE starting values y[0 to 6].
     * Outputs yout[] and its estimated error yerr[].
     *  @param[in] y Starting values array of integration variables.
     *  @param[in] dydx Derivatives array.
     *  @param[in] h The given step size.
     *  @param[out] yout Integration output.
     *  @param[out] yerr The estimated error.
     *  @param[out] nextDydx Last derivatives array for the next step.
     */
    void Stepper( const G4double y[],
                  const G4double dydx[],
                        G4double h,
                        G4double yout[],
                        G4double yerr[],
                        G4double nextDydx[]) override ;

    /**
     * Calculates the output at the tau fraction of step.
     *  @param[in] yInput Starting values array of integration variables.
     *  @param[in] dydx Derivatives array.
     *  @param[out] yOut Interpolation output.
     *  @param[in] Step The given step size.
     *  @param[in] tau The tau fraction of the step.
     */
    void interpolate( const G4double yInput[],
                      const G4double dydx[],
                            G4double yOut[],
                            G4double Step,
                            G4double tau ) ;

    /**
     * Calculates the output at the tau fraction of step. Same as above
     * for higher order interpolant.
     */
    void Interpolate( const G4double yInput[],
                      const G4double dydx[],
                      const G4double Step,
                            G4double yOut[],
                            G4double tau );
    
    /**
     * Setup method for higher order interpolant.
     *  @param[in] yInput Starting values array of integration variables.
     *  @param[in] dydx Derivatives array.
     *  @param[in] Step The given step size.
     */
    void SetupInterpolate( const G4double yInput[],
                           const G4double dydx[],
                           const G4double Step );

    /**
     * Returns the distance from chord line.
     */
    G4double DistChord() const override;

    /**
     * Returns the order, 4, of integration.
     */
    inline G4int IntegratorOrder() const override { return 4; }

    /**
     * Returns true as this is a FSAL integrator.
     */
    inline G4bool isFSAL() const { return true; }
    
  private:
    
    /** Working arrays -- used during stepping. */
    G4double *ak2, *ak3, *ak4, *ak5, *ak6, *ak7,
             *ak8, *ak9,         // For additional stages in the interpolant
             *yTemp, *yIn;
    
    /** Only for use with DistChord(). */
    G4double* pseudoDydx_for_DistChord;
    
    G4double fLastStepLength = -1.0;
    G4double *fLastInitialVector, *fLastFinalVector,
             *fInitialDyDx, *fLastDyDx,
             *fMidVector, *fMidError;   // For DistChord() calculations
    
    G4FSALDormandPrince745* fAuxStepper = nullptr;
};

#endif