Geant4 Cross Reference

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Geant4/geometry/magneticfield/src/G4ClassicalRK4.cc

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  1 //
  2 // ********************************************************************
  3 // * License and Disclaimer                                           *
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 24 // ********************************************************************
 25 //
 26 // G4ClassicalRK4 implementation
 27 //
 28 // Created: J.Apostolakis, V.Grichine - 30.01.1997
 29 // -------------------------------------------------------------------
 30 
 31 #include "G4ClassicalRK4.hh"
 32 #include "G4ThreeVector.hh"
 33 
 34 //////////////////////////////////////////////////////////////////
 35 //
 36 // Constructor sets the number of variables (default = 6)
 37 //
 38 G4ClassicalRK4::
 39 G4ClassicalRK4(G4EquationOfMotion* EqRhs, G4int numberOfVariables)
 40   : G4MagErrorStepper(EqRhs, numberOfVariables)
 41 {
 42    unsigned int noVariables= std::max(numberOfVariables,8); // For Time .. 7+1
 43  
 44    dydxm = new G4double[noVariables];
 45    dydxt = new G4double[noVariables]; 
 46    yt    = new G4double[noVariables]; 
 47 }
 48 
 49 ////////////////////////////////////////////////////////////////
 50 //
 51 // Destructor
 52 //
 53 G4ClassicalRK4::~G4ClassicalRK4()
 54 {
 55   delete [] dydxm;
 56   delete [] dydxt;
 57   delete [] yt;
 58 }
 59 
 60 //////////////////////////////////////////////////////////////////////
 61 //
 62 // Given values for the variables y[0,..,n-1] and their derivatives
 63 // dydx[0,...,n-1] known at x, use the classical 4th Runge-Kutta
 64 // method to advance the solution over an interval h and return the
 65 // incremented variables as yout[0,...,n-1], which not be a distinct
 66 // array from y. The user supplies the routine RightHandSide(x,y,dydx),
 67 // which returns derivatives dydx at x. The source is routine rk4 from
 68 // NRC p. 712-713 .
 69 //
 70 void
 71 G4ClassicalRK4::DumbStepper( const G4double yIn[],
 72                              const G4double dydx[],
 73                                    G4double h,
 74                                    G4double yOut[])
 75 {
 76   const G4int nvar = GetNumberOfVariables();   //  fNumberOfVariables(); 
 77   G4int i;
 78   G4double hh = h*0.5, h6 = h/6.0;
 79 
 80   // Initialise time to t0, needed when it is not updated by the integration.
 81   //        [ Note: Only for time dependent fields (usually electric) 
 82   //                  is it neccessary to integrate the time.] 
 83   yt[7]   = yIn[7]; 
 84   yOut[7] = yIn[7];
 85 
 86   for(i=0; i<nvar; ++i)
 87   {
 88     yt[i] = yIn[i] + hh*dydx[i] ;             // 1st Step K1=h*dydx
 89   }
 90   RightHandSide(yt,dydxt) ;                   // 2nd Step K2=h*dydxt
 91 
 92   for(i=0; i<nvar; ++i)
 93   { 
 94     yt[i] = yIn[i] + hh*dydxt[i] ;
 95   }
 96   RightHandSide(yt,dydxm) ;                   // 3rd Step K3=h*dydxm
 97 
 98   for(i=0; i<nvar; ++i)
 99   {
100     yt[i] = yIn[i] + h*dydxm[i] ;
101     dydxm[i] += dydxt[i] ;                    // now dydxm=(K2+K3)/h
102   }
103   RightHandSide(yt,dydxt) ;                   // 4th Step K4=h*dydxt
104  
105   for(i=0; i<nvar; ++i)    // Final RK4 output
106   {
107     yOut[i] = yIn[i]+h6*(dydx[i]+dydxt[i]+2.0*dydxm[i]); //+K1/6+K4/6+(K2+K3)/3
108   }
109   if ( nvar == 12 )  { NormalisePolarizationVector ( yOut ); }
110   
111 }  // end of DumbStepper ....................................................
112 
113 ////////////////////////////////////////////////////////////////////
114 //
115 // StepWithEst
116 
117 void
118 G4ClassicalRK4::StepWithEst( const G4double*,
119                              const G4double*,
120                                    G4double,
121                                    G4double*,
122                                    G4double&,
123                                    G4double&,
124                              const G4double*,
125                                    G4double*  ) 
126 {
127   G4Exception("G4ClassicalRK4::StepWithEst()", "GeomField0001",
128               FatalException, "Method no longer used.");
129 
130 }  // end of StepWithEst ......................................................
131