Geant4 Cross Reference

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Geant4/geometry/magneticfield/include/G4CashKarpRKF45.hh

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  1 //
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 25 //
 26 // G4CashKarpRKF45
 27 //
 28 // Class description:
 29 //
 30 // The Cash-Karp Runge-Kutta-Fehlberg 4/5 method is an embedded fourth
 31 // order method (giving fifth-order accuracy) for the solution of an ODE.
 32 // Two different fourth order estimates are calculated; their difference
 33 // gives an error estimate. [ref. Numerical Recipes in C, 2nd Edition]
 34 // It is used to integrate the equations of the motion of a particle 
 35 // in a magnetic field.
 36 
 37 // Authors: J.Apostolakis, V.Grichine - 30.01.1997
 38 // -------------------------------------------------------------------
 39 #ifndef G4CASHKARP_RKF45_HH
 40 #define G4CASHKARP_RKF45_HH
 41 
 42 #include "G4MagIntegratorStepper.hh"
 43 
 44 class G4CashKarpRKF45 : public G4MagIntegratorStepper
 45 {
 46   public:
 47 
 48     G4CashKarpRKF45( G4EquationOfMotion* EqRhs,
 49                      G4int numberOfVariables = 6,
 50                      G4bool primary = true ) ;
 51    ~G4CashKarpRKF45() override ;
 52 
 53     G4CashKarpRKF45(const G4CashKarpRKF45&) = delete;
 54     G4CashKarpRKF45& operator=(const G4CashKarpRKF45&) = delete;
 55       // Deleted copy constructor and assignment operator.
 56 
 57     void Stepper( const G4double y[],
 58                   const G4double dydx[],
 59                         G4double h,
 60                         G4double yout[],
 61                         G4double yerr[] ) override ;
 62 
 63     G4double  DistChord()   const override; 
 64     G4int IntegratorOrder() const override { return 4; }
 65 
 66   private:
 67 
 68     void StepWithEst( const G4double yIn[],
 69                       const G4double dydx[],
 70                             G4double Step,
 71                             G4double yOut[],
 72                             G4double& alpha2,
 73                             G4double& beta2,
 74                       const G4double B1[],
 75                             G4double B2[]    );  
 76       // No longer used. Obsolete.
 77 
 78   private:
 79 
 80    G4double *ak2, *ak3, *ak4, *ak5, *ak6, *yTemp, *yIn; // *ak7
 81       // scratch space
 82 
 83     G4double fLastStepLength = 0.0;
 84     G4double *fLastInitialVector, *fLastFinalVector,
 85              *fLastDyDx, *fMidVector, *fMidError;
 86       // for DistChord calculations
 87 
 88     G4CashKarpRKF45* fAuxStepper = nullptr;
 89 };
 90 
 91 #endif
 92