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0001 // 0002 // ******************************************************************** 0003 // * License and Disclaimer * 0004 // * * 0005 // * The Geant4 software is copyright of the Copyright Holders of * 0006 // * the Geant4 Collaboration. It is provided under the terms and * 0007 // * conditions of the Geant4 Software License, included in the file * 0008 // * LICENSE and available at http://cern.ch/geant4/license . These * 0009 // * include a list of copyright holders. * 0010 // * * 0011 // * Neither the authors of this software system, nor their employing * 0012 // * institutes,nor the agencies providing financial support for this * 0013 // * work make any representation or warranty, express or implied, * 0014 // * regarding this software system or assume any liability for its * 0015 // * use. Please see the license in the file LICENSE and URL above * 0016 // * for the full disclaimer and the limitation of liability. * 0017 // * * 0018 // * This code implementation is the result of the scientific and * 0019 // * technical work of the GEANT4 collaboration. * 0020 // * By using, copying, modifying or distributing the software (or * 0021 // * any work based on the software) you agree to acknowledge its * 0022 // * use in resulting scientific publications, and indicate your * 0023 // * acceptance of all terms of the Geant4 Software license. * 0024 // ******************************************************************** 0025 // 0026 // G4NystromRK4 0027 // 0028 // Class description: 0029 // 0030 // Integrates the equations of the motion of a particle in a magnetic field 0031 // using 4th Runge-Kutta-Nystrom method with errors estimation 0032 // (ATL-SOFT-PUB-2009-01) 0033 // Current form can be used only for 'pure' magnetic field. 0034 // Notes: 1) field must be time-independent. 0035 // 2) time is not integrated 0036 0037 // Author: Igor Gavrilenko (CERN), 15.05.2009 (as G4AtlasRK4) 0038 // Adaptations: John Apostolakis (CERN), 05.11.2009 0039 // ------------------------------------------------------------------- 0040 #ifndef G4NYSTROMRK4_HH 0041 #define G4NYSTROMRK4_HH 0042 0043 #include "G4MagIntegratorStepper.hh" 0044 #include "G4Mag_EqRhs.hh" 0045 #include "G4CachedMagneticField.hh" 0046 #include "G4ThreeVector.hh" 0047 0048 #include <memory> 0049 0050 /** 0051 * @brief G4NystromRK4 integrates the equations of the motion of a particle 0052 * in a magnetic field using 4th Runge-Kutta-Nystrom method with errors 0053 * estimation. The current form can be used only for 'pure' magnetic field. 0054 */ 0055 0056 class G4NystromRK4 : public G4MagIntegratorStepper 0057 { 0058 public: 0059 0060 /** 0061 * Constructor for G4NystromRK4. Can be used only for Magnetic Fields 0062 * and for 6 variables (x,p). 0063 * @param[in] EquationMotion Pointer to the provided equation of motion. 0064 * @param[in] distanceConstField Distance value for constant field. 0065 */ 0066 G4NystromRK4(G4Mag_EqRhs* EquationMotion, 0067 G4double distanceConstField = 0.0); 0068 0069 /** 0070 * Default Destructor. 0071 */ 0072 ~G4NystromRK4() override = default; 0073 0074 /** 0075 * The stepper for the Runge Kutta integration. 0076 * The stepsize is fixed, with the step size given by 'hstep'. 0077 * Integrates ODE starting values y[0 to 6]. 0078 * Outputs yOut[] and its estimated error yError[]. 0079 * Provides error via analytical method. 0080 * @param[in] y Starting values array of integration variables. 0081 * @param[in] dydx Derivatives array. 0082 * @param[in] hstep The given step size. 0083 * @param[out] yOut Integration output. 0084 * @param[out] yError The estimated error. 0085 */ 0086 void Stepper(const G4double y[], 0087 const G4double dydx[], 0088 G4double hstep, 0089 G4double yOut[], 0090 G4double yError[]) override; 0091 0092 /** 0093 * Setter and getter for the distance value for constant field. 0094 */ 0095 void SetDistanceForConstantField(G4double length); 0096 G4double GetDistanceForConstantField() const; 0097 0098 /** 0099 * Returns the order, 4, of integration. 0100 */ 0101 inline G4int IntegratorOrder() const override; 0102 0103 /** 0104 * Returns the distance from chord line. 0105 */ 0106 G4double DistChord() const override; 0107 0108 /** 0109 * Returns the stepper type-ID, "kNystromRK4". 0110 */ 0111 inline G4StepperType StepperType() const override; 0112 0113 private: 0114 0115 /** 0116 * Private accessors for field data. 0117 */ 0118 inline void GetFieldValue(const G4double point[4], G4double field[3]); 0119 inline G4double GetFCof(); 0120 G4CachedMagneticField* GetField(); 0121 const G4CachedMagneticField* GetField() const; 0122 0123 private: 0124 0125 G4double fMomentum = 0.0; 0126 G4double fMomentum2 = 0.0; 0127 G4double fInverseMomentum = 0.0; 0128 G4double fCoefficient = 0.0; 0129 G4ThreeVector fInitialPoint; 0130 G4ThreeVector fMidPoint; 0131 G4ThreeVector fEndPoint; 0132 0133 std::unique_ptr<G4CachedMagneticField> fCachedField; 0134 }; 0135 0136 #include "G4NystromRK4.icc" 0137 0138 #endif
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