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1 // 1 // 2 // ******************************************* 2 // ******************************************************************** 3 // * License and Disclaimer << 3 // * DISCLAIMER * 4 // * 4 // * * 5 // * The Geant4 software is copyright of th << 5 // * The following disclaimer summarizes all the specific disclaimers * 6 // * the Geant4 Collaboration. It is provided << 6 // * of contributors to this software. The specific disclaimers,which * 7 // * conditions of the Geant4 Software License << 7 // * govern, are listed with their locations in: * 8 // * LICENSE and available at http://cern.ch/ << 8 // * http://cern.ch/geant4/license * 9 // * include a list of copyright holders. << 10 // * 9 // * * 11 // * Neither the authors of this software syst 10 // * Neither the authors of this software system, nor their employing * 12 // * institutes,nor the agencies providing fin 11 // * institutes,nor the agencies providing financial support for this * 13 // * work make any representation or warran 12 // * work make any representation or warranty, express or implied, * 14 // * regarding this software system or assum 13 // * regarding this software system or assume any liability for its * 15 // * use. Please see the license in the file << 14 // * use. * 16 // * for the full disclaimer and the limitatio << 17 // * 15 // * * 18 // * This code implementation is the result << 16 // * This code implementation is the intellectual property of the * 19 // * technical work of the GEANT4 collaboratio << 17 // * GEANT4 collaboration. * 20 // * By using, copying, modifying or distri << 18 // * By copying, distributing or modifying the Program (or any work * 21 // * any work based on the software) you ag << 19 // * based on the Program) you indicate your acceptance of this * 22 // * use in resulting scientific publicati << 20 // * statement, and all its terms. * 23 // * acceptance of all terms of the Geant4 Sof << 24 // ******************************************* 21 // ******************************************************************** 25 // 22 // 26 // G4MagErrorStepper implementation << 27 // 23 // 28 // Author: W.Wander <wwc@mit.edu>, 09.12.1997 << 24 // $Id: G4MagErrorStepper.cc,v 1.12 2003/10/31 14:35:54 gcosmo Exp $ >> 25 // GEANT4 tag $Name: geant4-06-00 $ >> 26 // 29 // ------------------------------------------- 27 // -------------------------------------------------------------------- 30 28 31 #include "G4MagErrorStepper.hh" 29 #include "G4MagErrorStepper.hh" 32 #include "G4LineSection.hh" 30 #include "G4LineSection.hh" 33 31 34 G4MagErrorStepper::~G4MagErrorStepper() 32 G4MagErrorStepper::~G4MagErrorStepper() 35 { 33 { 36 delete [] yMiddle; << 34 delete[] yMiddle; 37 delete [] dydxMid; << 35 delete[] dydxMid; 38 delete [] yInitial; << 36 delete[] yInitial; 39 delete [] yOneStep; << 37 delete[] yOneStep; 40 } 38 } 41 39 42 void G4MagErrorStepper::Stepper( const G4doubl << 40 void 43 const G4doubl << 41 G4MagErrorStepper::Stepper( const G4double yInput[], 44 G4doubl << 42 const G4double dydx[], 45 G4doubl << 43 G4double hstep, 46 G4doubl << 44 G4double yOutput[], >> 45 G4double yError [] ) 47 { 46 { 48 const G4int nvar = GetNumberOfVariables(); << 47 const G4int nvar = this->GetNumberOfVariables() ; 49 const G4int maxvar = GetNumberOfStateVariab << 48 const G4int maxvar= GetNumberOfStateVariables(); 50 49 >> 50 G4int i; 51 // correction for Richardson Extrapolation. 51 // correction for Richardson Extrapolation. 52 // << 53 G4double correction = 1. / ( (1 << Integra 52 G4double correction = 1. / ( (1 << IntegratorOrder()) -1 ); 54 53 55 // Saving yInput because yInput and yOutpu 54 // Saving yInput because yInput and yOutput can be aliases for same array 56 // << 55 57 for(G4int i=0; i<nvar; ++i) << 56 for(i=0;i<nvar;i++) yInitial[i]=yInput[i]; 58 { << 57 yInitial[7]= yInput[7]; // Copy the time in case ... even if not really needed 59 yInitial[i]=yInput[i]; << 60 } << 61 yInitial[7] = yInput[7]; // Copy the time i << 62 yMiddle[7] = yInput[7]; // Copy the time f 58 yMiddle[7] = yInput[7]; // Copy the time from initial value 63 yOneStep[7] = yInput[7]; // As it contribut 59 yOneStep[7] = yInput[7]; // As it contributes to final value of yOutput ? 64 // yOutput[7] = yInput[7]; // -> dumb step 60 // yOutput[7] = yInput[7]; // -> dumb stepper does it too for RK4 65 << 61 for(i=nvar;i<maxvar;i++) yOutput[i]=yInput[i]; 66 for(G4int i=nvar; i<maxvar; ++i) << 67 { << 68 yOutput[i]=yInput[i]; << 69 } << 70 // yError[7] = 0.0; 62 // yError[7] = 0.0; 71 63 72 G4double halfStep = hstep * 0.5; 64 G4double halfStep = hstep * 0.5; 73 65 74 // Do two half steps 66 // Do two half steps 75 // << 67 76 DumbStepper (yInitial, dydx, halfStep, 68 DumbStepper (yInitial, dydx, halfStep, yMiddle); 77 RightHandSide(yMiddle, dydxMid); 69 RightHandSide(yMiddle, dydxMid); 78 DumbStepper (yMiddle, dydxMid, halfStep, y 70 DumbStepper (yMiddle, dydxMid, halfStep, yOutput); 79 71 80 // Store midpoint, chord calculation 72 // Store midpoint, chord calculation 81 // << 73 82 fMidPoint = G4ThreeVector( yMiddle[0], yMi 74 fMidPoint = G4ThreeVector( yMiddle[0], yMiddle[1], yMiddle[2]); 83 75 84 // Do a full Step 76 // Do a full Step 85 // << 86 DumbStepper(yInitial, dydx, hstep, yOneStep 77 DumbStepper(yInitial, dydx, hstep, yOneStep); 87 for(G4int i=0; i<nvar; ++i) << 78 for(i=0;i<nvar;i++) { 88 { << 89 yError [i] = yOutput[i] - yOneStep[i] ; 79 yError [i] = yOutput[i] - yOneStep[i] ; 90 yOutput[i] += yError[i]*correction ; << 80 yOutput[i] += yError[i]*correction ; // Provides accuracy increased 91 // Provides accuracy increased by 1 or << 81 // by 1 order via the >> 82 // Richardson Extrapolation 92 } 83 } 93 84 94 fInitialPoint = G4ThreeVector( yInitial[0], 85 fInitialPoint = G4ThreeVector( yInitial[0], yInitial[1], yInitial[2]); 95 fFinalPoint = G4ThreeVector( yOutput[0], 86 fFinalPoint = G4ThreeVector( yOutput[0], yOutput[1], yOutput[2]); 96 87 97 return; << 88 return ; 98 } 89 } 99 90 100 G4double G4MagErrorStepper::DistChord() const << 91 >> 92 >> 93 G4double >> 94 G4MagErrorStepper::DistChord() const 101 { 95 { 102 // Estimate the maximum distance from the cu 96 // Estimate the maximum distance from the curve to the chord 103 // 97 // 104 // We estimate this using the distance of th << 98 // We estimate this using the distance of the midpoint to 105 // chord (the line between << 99 // chord (the line between 106 // 100 // 107 // Method below is good only for angle devia << 101 // Method below is good only for angle deviations < 2 pi, 108 // This restriction should not a problem for << 102 // This restriction should not a problem for the Runge cutta methods, 109 // which generally cannot integrate accurate << 103 // which generally cannot integrate accurately for large angle deviations. 110 << 111 G4double distLine, distChord; 104 G4double distLine, distChord; 112 105 113 if (fInitialPoint != fFinalPoint) << 106 if (fInitialPoint != fFinalPoint) { 114 { << 107 distLine= G4LineSection::Distline( fMidPoint, fInitialPoint, fFinalPoint ); 115 distLine = G4LineSection::Distline(fMidPo << 108 // This is a class method that gives distance of Mid 116 // This is a class method that gives di << 109 // from the Chord between the Initial and Final points. 117 // from the Chord between the Initial a << 118 110 119 distChord = distLine; 111 distChord = distLine; 120 } << 112 }else{ 121 else << 122 { << 123 distChord = (fMidPoint-fInitialPoint).mag 113 distChord = (fMidPoint-fInitialPoint).mag(); 124 } 114 } 125 115 126 return distChord; 116 return distChord; 127 } 117 } >> 118 128 119