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1 // 2 // ******************************************************************** 3 // * License and Disclaimer * 4 // * * 5 // * The Geant4 software is copyright of the Copyright Holders of * 6 // * the Geant4 Collaboration. It is provided under the terms and * 7 // * conditions of the Geant4 Software License, included in the file * 8 // * LICENSE and available at http://cern.ch/geant4/license . These * 9 // * include a list of copyright holders. * 10 // * * 11 // * Neither the authors of this software system, nor their employing * 12 // * institutes,nor the agencies providing financial support for this * 13 // * work make any representation or warranty, express or implied, * 14 // * regarding this software system or assume any liability for its * 15 // * use. Please see the license in the file LICENSE and URL above * 16 // * for the full disclaimer and the limitation of liability. * 17 // * * 18 // * This code implementation is the result of the scientific and * 19 // * technical work of the GEANT4 collaboration. * 20 // * By using, copying, modifying or distributing the software (or * 21 // * any work based on the software) you agree to acknowledge its * 22 // * use in resulting scientific publications, and indicate your * 23 // * acceptance of all terms of the Geant4 Software license. * 24 // ******************************************************************** 25 // 26 // G4DormandPrinceRK78 27 // 28 // Class description: 29 // 30 // Dormand-Prince 8(7)13M non-FSAL RK method, a 13 stage embedded 31 // explicit Runge-Kutta method, using a pair of 7th and 8th order formulae. 32 // 33 // Paper proposing this RK scheme: 34 // P.J. Prince, J.R. Dormand, "High order embedded Runge-Kutta formulae", 35 // Journal of Computational and Applied Mathematics, Volume 7, Issue 1, 1981, 36 // Pages 67-75, ISSN 0377-0427, DOI: 10.1016/0771-050X(81)90010-3 37 38 // Created: Somnath Banerjee, Google Summer of Code 2015, 28 June 2015 39 // Supervision: John Apostolakis, CERN 40 // -------------------------------------------------------------------- 41 #ifndef G4DORMAND_PRINCE_RK78_HH 42 #define G4DORMAND_PRINCE_RK78_HH 43 44 #include "G4MagIntegratorStepper.hh" 45 46 class G4DormandPrinceRK78 : public G4MagIntegratorStepper 47 { 48 public: 49 50 G4DormandPrinceRK78(G4EquationOfMotion* EqRhs, 51 G4int numberOfVariables = 6, 52 G4bool primary = true); 53 ~G4DormandPrinceRK78() override; 54 55 G4DormandPrinceRK78(const G4DormandPrinceRK78&) = delete; 56 G4DormandPrinceRK78& operator=(const G4DormandPrinceRK78&) = delete; 57 58 void Stepper( const G4double y[], 59 const G4double dydx[], 60 G4double h, 61 G4double yout[], 62 G4double yerr[]) override ; 63 64 G4double DistChord() const override; 65 inline G4int IntegratorOrder() const override { return 7; } 66 67 private : 68 69 G4double *ak2, *ak3, *ak4, *ak5, *ak6, *ak7, *ak8, 70 *ak9, *ak10, *ak11, *ak12, *ak13, 71 *yTemp, *yIn; 72 73 G4double fLastStepLength = -1.0; 74 G4double *fLastInitialVector, *fLastFinalVector, 75 *fLastDyDx, *fMidVector, *fMidError; 76 // For DistChord calculations 77 78 G4DormandPrinceRK78* fAuxStepper = nullptr; 79 }; 80 81 #endif 82