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geant4/source/geometry/magneticfield/include/G4DormandPrince745.hh
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//
// ********************************************************************
// * License and Disclaimer *
// * *
// * The Geant4 software is copyright of the Copyright Holders of *
// * the Geant4 Collaboration. It is provided under the terms and *
// * conditions of the Geant4 Software License, included in the file *
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// * Neither the authors of this software system, nor their employing *
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// * work make any representation or warranty, express or implied, *
// * regarding this software system or assume any liability for its *
// * use. Please see the license in the file LICENSE and URL above *
// * for the full disclaimer and the limitation of liability. *
// * *
// * This code implementation is the result of the scientific and *
// * technical work of the GEANT4 collaboration. *
// * By using, copying, modifying or distributing the software (or *
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// ********************************************************************
//
//
// Class desription:
// An implementation of the 5th order embedded RK method from the paper
// J. R. Dormand and P. J. Prince, “A family of embedded Runge-Kutta formulae,”
// Journal of computational and applied …, vol. 6, no. 1, pp. 1926, 1980.
//
// DormandPrince7 - 5(4) embedded RK method
//
// Design & Implementation by Somnath Banerjee
// Supervision & code review: John Apostolakis
//
// Work supported by the Google Summer of Code 2015.
//
// History
// ------------------------------------------
// Created : 25 May 2015. - Somnath
// Revisions :
// * 29 June 2015: Added interpolate() method(s) - Somnath
// * May 2016: Cleanup and first comming in G4 - John Apostolakis
// * 4 June 2019: Cleanup and add FSAL method
#ifndef DORMAND_PRINCE_745
#define DORMAND_PRINCE_745
#include "G4MagIntegratorStepper.hh"
#include "G4FieldUtils.hh"
class G4DormandPrince745 : public G4MagIntegratorStepper
{
public:
G4DormandPrince745(G4EquationOfMotion* equation,
G4int numberOfVariables = 6);
virtual void Stepper(const G4double yInput[],
const G4double dydx[],
G4double hstep,
G4double yOutput[],
G4double yError[]) override;
void Stepper(const G4double yInput[],
const G4double dydx[],
G4double hstep,
G4double yOutput[],
G4double yError[],
G4double dydxOutput[]);
inline void SetupInterpolation() {}
//For calculating the output at the tau fraction of Step
inline void Interpolate(G4double tau, G4double yOut[]) const
{
Interpolate4thOrder(yOut, tau);
}
virtual G4double DistChord() const override;
virtual G4int IntegratorOrder() const override { return 4; }
const field_utils::State& GetYOut() const { return fyOut; }
private:
void Interpolate4thOrder(G4double yOut[], G4double tau) const;
void SetupInterpolation_high();
void Interpolate_high(G4double yOut[], G4double tau);
field_utils::State ak2, ak3, ak4, ak5, ak6, ak7, ak8, ak9;
field_utils::State fyIn, fyOut, fdydxIn;
G4double fLastStepLength = -1.0;
};
#endif