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25 // 22 //
26 // G4RKG3_Stepper implementation <<
27 // 23 //
28 // Created: J.Apostolakis, V.Grichine - 30.01. << 24 // $Id: G4RKG3_Stepper.cc,v 1.9 2003/10/31 14:35:55 gcosmo Exp $
>> 25 // GEANT4 tag $Name: geant4-07-01 $
>> 26 //
29 // ------------------------------------------- 27 // -------------------------------------------------------------------
30 28
31 #include "G4RKG3_Stepper.hh" 29 #include "G4RKG3_Stepper.hh"
32 #include "G4LineSection.hh" 30 #include "G4LineSection.hh"
33 #include "G4Mag_EqRhs.hh" 31 #include "G4Mag_EqRhs.hh"
34 32
35 G4RKG3_Stepper::G4RKG3_Stepper(G4Mag_EqRhs* Eq << 33 G4RKG3_Stepper::G4RKG3_Stepper(G4Mag_EqRhs *EqRhs)
36 : G4MagIntegratorStepper(EqRhs,6) 34 : G4MagIntegratorStepper(EqRhs,6)
37 { 35 {
>> 36 G4Exception("G4RKG3_Stepper::G4RKG3_Stepper()", "NotImplemented",
>> 37 FatalException, "Stepper not yet available.");
38 } 38 }
39 39
40 G4RKG3_Stepper::~G4RKG3_Stepper() = default; << 40 G4RKG3_Stepper::~G4RKG3_Stepper()
>> 41 {
>> 42 }
41 43
42 void G4RKG3_Stepper::Stepper( const G4double y << 44 void G4RKG3_Stepper::Stepper( const G4double yInput[7],
43 const G4double d << 45 const G4double dydx[7],
44 G4double S << 46 G4double Step,
45 G4double y << 47 G4double yOut[7],
46 G4double y << 48 G4double yErr[])
47 { 49 {
48 G4double B[3]; 50 G4double B[3];
>> 51 // G4double yderiv[6];
>> 52 // G4double alpha2, beta2;
49 G4int nvar = 6 ; 53 G4int nvar = 6 ;
50 G4double by15 = 1. / 15. ; // was 0.06666 << 54 // G4double beTemp2, beta2=0;
51 55
52 G4double yTemp[8], dydxTemp[6], yIn[8]; << 56 G4int i;
>> 57 G4double by15 = 1. / 15. ; // was 0.066666666 ;
>> 58 G4double yTemp[7], dydxTemp[6], yIn[7] ;
>> 59 // Saving yInput because yInput and yOut can be aliases for same array
>> 60 for(i=0;i<nvar;i++) yIn[i]=yInput[i];
53 61
54 // Saving yInput because yInput and yOut ca <<
55 // <<
56 for(G4int i=0; i<nvar; ++i) <<
57 { <<
58 yIn[i]=yInput[i]; <<
59 } <<
60 yIn[6] = yInput[6]; <<
61 yIn[7] = yInput[7]; <<
62 G4double h = Step * 0.5; 62 G4double h = Step * 0.5;
63 hStep = Step; <<
64 // Do two half steps <<
65 63
66 StepNoErr(yIn, dydx,h, yTemp,B) ; << 64 // Do two half steps
67 << 65
68 // Store Bfld for DistChord Calculation << 66
69 // << 67 // To obtain B1 ...
70 for(auto i=0; i<3; ++i) << 68 // GetEquationOfMotion()->GetFieldValue(yIn,B);
71 { << 69 // G4RKG3_Stepper::StepWithEst(yIn, dydx, Step, yOut,alpha2, beta2, B1, B2 );
72 BfldIn[i] = B[i]; <<
73 } <<
74 // RightHandSide(yTemp,dydxTemp) ; <<
75 70
>> 71 StepNoErr(yIn, dydx,h, yTemp,B) ;
>> 72 // RightHandSide(yTemp,dydxTemp) ;
76 GetEquationOfMotion()->EvaluateRhsGivenB(yT 73 GetEquationOfMotion()->EvaluateRhsGivenB(yTemp,B,dydxTemp) ;
77 StepNoErr(yTemp,dydxTemp,h,yOut,B); << 74 StepNoErr(yTemp,dydxTemp,h,yOut,B); // ,beTemp2) ;
78 << 75 // beta2 += beTemp2;
>> 76 // beta2 *= 0.5;
>> 77
79 // Store midpoint, chord calculation 78 // Store midpoint, chord calculation
80 79
81 fyMidPoint = G4ThreeVector(yTemp[0], yTemp << 80 fyMidPoint = G4ThreeVector( yTemp[0], yTemp[1], yTemp[2]);
82 81
83 // Do a full Step 82 // Do a full Step
84 // << 83
85 h *= 2 ; 84 h *= 2 ;
86 StepNoErr(yIn,dydx,h,yTemp,B); << 85 StepNoErr(yIn,dydx,h,yTemp,B); // ,beTemp2) ;
87 for(G4int i=0; i<nvar; ++i) << 86 for(i=0;i<nvar;i++)
88 { 87 {
89 yErr[i] = yOut[i] - yTemp[i] ; 88 yErr[i] = yOut[i] - yTemp[i] ;
90 yOut[i] += yErr[i]*by15 ; // Pr 89 yOut[i] += yErr[i]*by15 ; // Provides 5th order of accuracy
91 } 90 }
92 91
93 // Store values for DistChord method << 92 // for(i=0;i<ncomp;i++)
94 // << 93 // {
95 fyInitial = G4ThreeVector( yIn[0], yIn[1] << 94 // fyInitial[i] = yIn[i];
96 fpInitial = G4ThreeVector( yIn[3], yIn[4] << 95 // fyFinal[i] = yOut[i];
>> 96 // }
>> 97
>> 98 fyInitial = G4ThreeVector( yIn[0], yIn[1], yIn[2]);
97 fyFinal = G4ThreeVector( yOut[0], yOut[1 99 fyFinal = G4ThreeVector( yOut[0], yOut[1], yOut[2]);
>> 100 // beta2 += beTemp2 ;
>> 101 // beta2 *= 0.5 ;
>> 102 // NormaliseTangentVector( yOut ); // Deleted
98 } 103 }
99 104
100 // ------------------------------------------- 105 // ---------------------------------------------------------------------------
101 106
102 // Integrator for RK from G3 with evaluation o 107 // Integrator for RK from G3 with evaluation of error in solution and delta
103 // geometry based on naive similarity with the 108 // geometry based on naive similarity with the case of uniform magnetic field.
104 // B1[3] is input and is the first magnetic f 109 // B1[3] is input and is the first magnetic field values
105 // B2[3] is output and is the final magnetic f 110 // B2[3] is output and is the final magnetic field values.
106 // << 111
107 void G4RKG3_Stepper::StepWithEst( const G4doub 112 void G4RKG3_Stepper::StepWithEst( const G4double*,
108 const G4doub 113 const G4double*,
109 G4doub 114 G4double,
110 G4doub 115 G4double*,
111 G4doub 116 G4double&,
112 G4doub 117 G4double&,
113 const G4doub 118 const G4double*,
114 G4doub 119 G4double* )
115 120
116 { 121 {
117 G4Exception("G4RKG3_Stepper::StepWithEst()", << 122 G4Exception("G4RKG3_Stepper::StepWithEst()", "ObsoleteMethod",
118 FatalException, "Method no longe 123 FatalException, "Method no longer used.");
119 } 124 }
120 125
121 // ------------------------------------------- 126 // -----------------------------------------------------------------
122 127
123 // Integrator RK Stepper from G3 with only two 128 // Integrator RK Stepper from G3 with only two field evaluation per Step.
124 // It is used in propagation initial Step by s 129 // It is used in propagation initial Step by small substeps after solution
125 // error and delta geometry considerations. B[ 130 // error and delta geometry considerations. B[3] is magnetic field which
126 // is passed from substep to substep. 131 // is passed from substep to substep.
127 // << 132
128 void G4RKG3_Stepper::StepNoErr(const G4double << 133 void G4RKG3_Stepper::StepNoErr(const G4double tIn[7],
129 const G4double << 134 const G4double dydx[7],
130 G4double 135 G4double Step,
131 G4double << 136 G4double tOut[7],
132 G4double << 137 G4double B[3] ) // const
133 138
134 { << 139 {
135 << 140 // Copy and edit the routine above, to delete alpha2, beta2, ...
136 // Copy and edit the routine above, to dele << 141 G4double K1[7],K2[7],K3[7],K4[7] ;
137 // << 142 G4double tTemp[7], yderiv[6] ;
138 G4double K1[7], K2[7], K3[7], K4[7]; << 143 G4int i ;
139 G4double tTemp[8]={0.0}, yderiv[6]={0.0}; << 144
140 << 145 #ifdef END_CODE_G3STEPPER
141 // Need Momentum value to give correct valu << 146 G4Exception(" G4RKG3_Stepper::StepNoErr(): method to be no longer used.");
142 // equation. Integration on unit velocity, << 147 #else
143 << 148 // GetEquationOfMotion()->EvaluateRhsReturnB(tIn,dydx,B1) ;
144 G4double mom, inverse_mom; << 149
145 const G4double c1=0.5, c2=0.125, c3=1./6.; << 150 for(i=0;i<3;i++)
146 <<
147 // Correction for momentum not a velocity <<
148 // Need the protection !!! must be not zero <<
149 // <<
150 mom = std::sqrt(tIn[3]*tIn[3]+tIn[4]*tIn[4] <<
151 inverse_mom = 1./mom; <<
152 for(auto i=0; i<3; ++i) <<
153 { 151 {
154 K1[i] = Step * dydx[i+3]*inverse_mom; << 152 K1[i] = Step * dydx[i+3];
155 tTemp[i] = tIn[i] + Step*(c1*tIn[i+3]*in << 153 tTemp[i] = tIn[i] + Step*(0.5*tIn[i+3] + 0.125*K1[i]) ;
156 tTemp[i+3] = tIn[i+3] + c1*K1[i]*mom ; << 154 tTemp[i+3] = tIn[i+3] + 0.5*K1[i] ;
157 } 155 }
158 <<
159 GetEquationOfMotion()->EvaluateRhsReturnB(t 156 GetEquationOfMotion()->EvaluateRhsReturnB(tTemp,yderiv,B) ;
160 << 157 // Calculates yderiv & returns B too!
161 for(auto i=0; i<3; ++i) << 158
>> 159 for(i=0;i<3;i++)
162 { 160 {
163 K2[i] = Step * yderiv[i+3]*inverse_mom; << 161 K2[i] = Step * yderiv[i+3];
164 tTemp[i+3] = tIn[i+3] + c1*K2[i]*mom ; << 162 tTemp[i+3] = tIn[i+3] + 0.5*K2[i] ;
165 } 163 }
166 << 164
167 // Given B, calculate yderiv ! << 165 // Given B, calculate yderiv !
168 // <<
169 GetEquationOfMotion()->EvaluateRhsGivenB(tT 166 GetEquationOfMotion()->EvaluateRhsGivenB(tTemp,B,yderiv) ;
170 << 167
171 for(auto i=0; i<3; ++i) << 168 for(i=0;i<3;i++)
172 { 169 {
173 K3[i] = Step * yderiv[i+3]*inverse_mom; << 170 K3[i] = Step * yderiv[i+3];
174 tTemp[i] = tIn[i] + Step*(tIn[i+3]*inver << 171 tTemp[i] = tIn[i] + Step*(tIn[i+3] + 0.5*K3[i]) ;
175 tTemp[i+3] = tIn[i+3] + K3[i]*mom ; << 172 tTemp[i+3] = tIn[i+3] + K3[i] ;
176 } 173 }
177 174
178 // Calculates y-deriv(atives) & returns B t << 175 // Calculates y-deriv(atives) & returns B too!
179 // <<
180 GetEquationOfMotion()->EvaluateRhsReturnB(t 176 GetEquationOfMotion()->EvaluateRhsReturnB(tTemp,yderiv,B) ;
181 177
182 for(auto i=0; i<3; ++i) // Output tr << 178 for(i=0;i<3;i++) // Output trajectory vector
183 { 179 {
184 K4[i] = Step * yderiv[i+3]*inverse_mom; << 180 K4[i] = Step * yderiv[i+3];
185 tOut[i] = tIn[i] + Step*(tIn[i+3]*invers << 181 tOut[i] = tIn[i] + Step*(tIn[i+3] + (K1[i] + K2[i] + K3[i])/6.0) ;
186 tOut[i+3] = tIn[i+3] + mom*(K1[i] + 2*K2 << 182 tOut[i+3] = tIn[i+3] + (K1[i] + 2*K2[i] + 2*K3[i] +K4[i])/6.0 ;
187 } 183 }
188 tOut[6] = tIn[6]; << 184 // NormaliseTangentVector( tOut );
189 tOut[7] = tIn[7]; << 185 #endif
190 } 186 }
191 187
192 // ------------------------------------------- 188 // ---------------------------------------------------------------------------
193 <<
194 G4double G4RKG3_Stepper::DistChord() const <<
195 { <<
196 // Soon: must check whether h/R > 2 pi !! <<
197 // Method below is good only for < 2 pi <<
198 189
199 G4double distChord,distLine; << 190 G4double G4RKG3_Stepper::DistChord() const
200 << 191 {
201 if (fyInitial != fyFinal) << 192 // Soon: must check whether h/R > 2 pi !!
202 { << 193 // Method below is good only for < 2 pi
203 distLine = G4LineSection::Distline(fyMid <<
204 distChord = distLine; <<
205 } <<
206 else <<
207 { <<
208 distChord = (fyMidPoint-fyInitial).mag() <<
209 } <<
210 194
211 return distChord; << 195 return G4LineSection::Distline( fyMidPoint, fyInitial, fyFinal );
>> 196 // This is a class method that gives distance of Mid
>> 197 // from the Chord between the Initial and Final points.
212 } 198 }
213 199