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1 // ******************************************* 1 2 // * License and Disclaimer 3 // * 4 // * The Geant4 software is copyright of th 5 // * the Geant4 Collaboration. It is provided 6 // * conditions of the Geant4 Software License 7 // * LICENSE and available at http://cern.ch/ 8 // * include a list of copyright holders. 9 // * 10 // * Neither the authors of this software syst 11 // * institutes,nor the agencies providing fin 12 // * work make any representation or warran 13 // * regarding this software system or assum 14 // * use. Please see the license in the file 15 // * for the full disclaimer and the limitatio 16 // * 17 // * This code implementation is the result 18 // * technical work of the GEANT4 collaboratio 19 // * By using, copying, modifying or distri 20 // * any work based on the software) you ag 21 // * use in resulting scientific publicati 22 // * acceptance of all terms of the Geant4 Sof 23 // ******************************************* 24 // 25 // G4ModifiedMidpoint implementation 26 // 27 // Author: Dmitry Sorokin, Google Summer of Co 28 // Supervision: John Apostolakis, CERN 29 // ------------------------------------------- 30 31 #include "G4ModifiedMidpoint.hh" 32 #include "G4FieldUtils.hh" 33 34 using namespace field_utils; 35 36 G4ModifiedMidpoint::G4ModifiedMidpoint( G4Equa 37 G4int 38 : fEquation(equation), fnvar(nvar), fsteps(s 39 { 40 if (nvar <= 0) 41 { 42 G4Exception("G4ModifiedMidpoint::G4Modifie 43 "GeomField0002", FatalExceptio 44 "Invalid number of variables; 45 } 46 } 47 48 void G4ModifiedMidpoint::DoStep( const G4doubl 49 G4double yOut 50 { 51 G4double y0[G4FieldTrack::ncompSVEC]; 52 G4double y1[G4FieldTrack::ncompSVEC]; 53 G4double yTemp[G4FieldTrack::ncompSVEC]; 54 setValue(yIn, Value1D::LabTime, y0, y1, yTem 55 56 G4double dydx[G4FieldTrack::ncompSVEC]; 57 58 const G4double h = hstep / fsteps; 59 const G4double h2 = 2 * h; 60 61 // y1 = yIn + h * dydx 62 // 63 for (G4int i = 0; i < fnvar; ++i) 64 { 65 y1[i] = yIn[i] + h * dydyIn[i]; 66 } 67 68 fEquation->RightHandSide(y1, dydx); 69 70 copy(y0, yIn); 71 72 // general step 73 // yTemp = y1; y1 = y0 + h2 * dydx; y0 = yTe 74 // 75 for (G4int i = 1; i < fsteps; ++i) 76 { 77 copy(yTemp, y1); 78 for (G4int j = 0; j < fnvar; ++j) 79 { 80 y1[j] = y0[j] + h2 * dydx[j]; 81 } 82 copy(y0, yTemp); 83 84 fEquation->RightHandSide(y1, dydx); 85 } 86 87 // last step 88 // yOut = 0.5 * (y0 + y1 + h * dydx) 89 // 90 for (G4int i = 0; i < fnvar; ++i) 91 { 92 yOut[i] = 0.5 * (y0[i] + y1[i] + h * dydx[ 93 } 94 } 95 96 void G4ModifiedMidpoint::DoStep( const G4doubl 97 G4double yOut[], G4 98 G4double derivs[][G 99 { 100 G4double y0[G4FieldTrack::ncompSVEC]; 101 G4double y1[G4FieldTrack::ncompSVEC]; 102 G4double yTemp[G4FieldTrack::ncompSVEC]; 103 setValue(yIn, Value1D::LabTime, y0, y1, yTem 104 105 const G4double h = hstep / fsteps; 106 const G4double h2 = 2 * h; 107 108 // y0 = yIn 109 copy(y0, yIn); 110 111 // y1 = y0 + h * dydx 112 for (G4int i = 0; i < fnvar; ++i) 113 { 114 y1[i] = y0[i] + h * dydxIn[i]; 115 } 116 117 // result of first step already gives approx 118 // at the center of the interval 119 // 120 if(fsteps == 2) 121 { 122 copy(yMid, y1); 123 } 124 125 fEquation->RightHandSide(y1, derivs[0]); 126 127 // general step 128 // yTemp = y1; y1 = y0 + h2 * dydx; y0 = yTe 129 // 130 for (G4int i = 1; i < fsteps; ++i) 131 { 132 copy(yTemp, y1); 133 for (G4int j = 0; j < fnvar; ++j) 134 { 135 y1[j] = y0[j] + h2 * derivs[i-1][j]; 136 } 137 copy(y0, yTemp); 138 139 // save approximation at the center of the 140 if(i == fsteps / 2 - 1 ) 141 { 142 copy(yMid, y1); 143 } 144 145 fEquation->RightHandSide(y1, derivs[i]); 146 } 147 148 // last step 149 // yOut = 0.5 * (y0 + y1 + h * dydx) 150 // 151 for (G4int i = 0; i < fnvar; ++i) 152 { 153 yOut[i] = 0.5 * (y0[i] + y1[i] + h * deriv 154 } 155 } 156 157 void G4ModifiedMidpoint::copy(G4double dst[], 158 { 159 std::memcpy(dst, src, sizeof(G4double) * fnv 160 } 161