96 lines
3.6 KiB
C++
96 lines
3.6 KiB
C++
//
|
|
// ********************************************************************
|
|
// * 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 *
|
|
// * LICENSE and available at http://cern.ch/geant4/license . These *
|
|
// * include a list of copyright holders. *
|
|
// * *
|
|
// * Neither the authors of this software system, nor their employing *
|
|
// * institutes,nor the agencies providing financial support for this *
|
|
// * 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 *
|
|
// * any work based on the software) you agree to acknowledge its *
|
|
// * use in resulting scientific publications, and indicate your *
|
|
// * acceptance of all terms of the Geant4 Software license. *
|
|
// ********************************************************************
|
|
//
|
|
// G4ImplicitEuler
|
|
//
|
|
// Class description:
|
|
//
|
|
// Implicit Euler stepper for magnetic field:
|
|
// x_1 = x_0 + h/2 * ( dx(t_0,x_0) + dx(t_0+h,x_0+h*dx(t_0,x_0) ) )
|
|
//
|
|
// Second order solver.
|
|
// Takes the current derivative and add it to the current position.
|
|
// Takes the output and its derivative. Adds the mean of both
|
|
// derivatives to form the final output.
|
|
|
|
// Author: W.Wander (MIT), 12.09.1997
|
|
// -------------------------------------------------------------------
|
|
#ifndef G4IMPLICITEULER_HH
|
|
#define G4IMPLICITEULER_HH
|
|
|
|
#include "G4MagErrorStepper.hh"
|
|
|
|
/**
|
|
* @brief G4ImplicitEuler implements a Euler stepper for magnetic field
|
|
* with 2nd order solver.
|
|
*/
|
|
|
|
class G4ImplicitEuler : public G4MagErrorStepper
|
|
{
|
|
public:
|
|
|
|
/**
|
|
* Constructor for G4HelixSimpleRunge.
|
|
* @param[in] EqRhs Pointer to the provided equation of motion.
|
|
* @param[in] numberOfVariables The number of integration variables.
|
|
*/
|
|
G4ImplicitEuler(G4EquationOfMotion* EqRhs,
|
|
G4int numberOfVariables = 6);
|
|
|
|
/**
|
|
* Destructor.
|
|
*/
|
|
~G4ImplicitEuler() override;
|
|
|
|
/**
|
|
* The stepper function for the integration.
|
|
* @param[in] y Starting values array of integration variables.
|
|
* @param[in] dydx The derivates array.
|
|
* @param[in] h The given step size.
|
|
* @param[out] yout Integration output.
|
|
*/
|
|
void DumbStepper( const G4double y[] ,
|
|
const G4double dydx[] ,
|
|
G4double h ,
|
|
G4double yout[] ) override;
|
|
|
|
/**
|
|
* Returns the order, 2, of integration.
|
|
*/
|
|
inline G4int IntegratorOrder() const override { return 2; }
|
|
/**
|
|
* Returns the stepper type-ID, "kImplicitEuler".
|
|
*/
|
|
inline G4StepperType StepperType() const override { return kImplicitEuler; }
|
|
|
|
private:
|
|
|
|
/** Temporaries, created to avoid new/delete on every call. */
|
|
G4double* dydxTemp = nullptr;
|
|
G4double* yTemp = nullptr;
|
|
};
|
|
|
|
#endif
|