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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 // G4BogackiShampine23 27 // 28 // Class description: 29 // 30 // Bogacki-Shampine - 4 - 3(2) non-FSAL implementation 31 // 32 // An implementation of the embedded RK method from the paper 33 // [1] P. Bogacki and L. F. Shampine, 34 // "A 3(2) pair of Runge - Kutta formulas" 35 // Appl. Math. Lett., vol. 2, no. 4, pp. 321-325, Jan. 1989. 36 // 37 // This version does not utilise the FSAL property of the method, 38 // which would allow the reuse of the last derivative in the next step. 39 // (Alternative FSAL implementation created with revised interface) 40 41 // Created: Somnath Banerjee, Google Summer of Code 2015, 20 May 2015 42 // Supervision: John Apostolakis, CERN 43 // -------------------------------------------------------------------- 44 #ifndef G4BOGACKI_SHAMPINE23_HH 45 #define G4BOGACKI_SHAMPINE23_HH 46 47 #include "G4MagIntegratorStepper.hh" 48 #include "G4FieldTrack.hh" 49 50 class G4BogackiShampine23 : public G4MagIntegratorStepper 51 { 52 public: 53 54 G4BogackiShampine23(G4EquationOfMotion* EqRhs, 55 G4int numberOfVariables = 6); 56 57 void Stepper(const G4double yInput[], 58 const G4double dydx[], 59 G4double hstep, 60 G4double yOutput[], 61 G4double yError[]) override; 62 63 void Stepper(const G4double yInput[], 64 const G4double dydx[], 65 G4double hstep, 66 G4double yOutput[], 67 G4double yError[], 68 G4double dydxOutput[]); 69 70 G4BogackiShampine23(const G4BogackiShampine23&) = delete; 71 G4BogackiShampine23& operator = (const G4BogackiShampine23&) = delete; 72 73 G4double DistChord() const override; 74 G4int IntegratorOrder() const override { return 3; } 75 76 private: 77 78 void makeStep(const G4double yInput[], 79 const G4double dydx[], 80 const G4double hstep, 81 G4double yOutput[], 82 G4double* dydxOutput = nullptr, 83 G4double* yError = nullptr) const; 84 85 G4double fyIn[G4FieldTrack::ncompSVEC], 86 fdydx[G4FieldTrack::ncompSVEC], 87 fyOut[G4FieldTrack::ncompSVEC], 88 fdydxOut[G4FieldTrack::ncompSVEC]; 89 G4double fhstep = -1.0; 90 }; 91 92 #endif 93