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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 // G4DormandPrince745 27 // 28 // Class desription: 29 // 30 // An implementation of the 5th order embedded RK method from the paper: 31 // J. R. Dormand and P. J. Prince, "A family of embedded Runge-Kutta formulae" 32 // Journal of computational and applied Math., vol.6, no.1, pp.19-26, 1980. 33 // 34 // DormandPrince7 - 5(4) embedded RK method 35 // 36 37 // Created: Somnath Banerjee, Google Summer of Code 2015, 25 May 2015 38 // Supervision: John Apostolakis, CERN 39 // -------------------------------------------------------------------- 40 #ifndef G4DORMAND_PRINCE_745_HH 41 #define G4DORMAND_PRINCE_745_HH 42 43 #include "G4MagIntegratorStepper.hh" 44 #include "G4FieldUtils.hh" 45 46 class G4DormandPrince745 : public G4MagIntegratorStepper 47 { 48 public: 49 50 G4DormandPrince745(G4EquationOfMotion* equation, 51 G4int numberOfVariables = 6); 52 53 void Stepper(const G4double yInput[], 54 const G4double dydx[], 55 G4double hstep, 56 G4double yOutput[], 57 G4double yError[]) override; 58 59 void Stepper(const G4double yInput[], 60 const G4double dydx[], 61 G4double hstep, 62 G4double yOutput[], 63 G4double yError[], 64 G4double dydxOutput[]); 65 66 inline void SetupInterpolation() {} 67 68 inline void Interpolate(G4double tau, G4double yOut[]) const 69 { 70 Interpolate4thOrder(yOut, tau); 71 } 72 // For calculating the output at the tau fraction of Step 73 74 G4double DistChord() const override; 75 76 G4int IntegratorOrder() const override { return 4; } 77 78 const G4String& StepperType() const; 79 const G4String& StepperDescription() const; 80 81 const field_utils::State& GetYOut() const { return fyOut; } 82 83 void Interpolate4thOrder(G4double yOut[], G4double tau) const; 84 85 void SetupInterpolation5thOrder(); 86 void Interpolate5thOrder(G4double yOut[], G4double tau) const; 87 88 G4EquationOfMotion* GetSpecificEquation() { return GetEquationOfMotion(); } 89 90 private: 91 92 field_utils::State ak2, ak3, ak4, ak5, ak6, ak7, ak8, ak9; 93 field_utils::State fyIn, fyOut, fdydxIn; 94 95 G4double fLastStepLength = -1.0; 96 }; 97 98 #endif 99