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25 //
26 // G4RK547FEq3 implementation
27 //
28 // The Butcher table of the Higham & Hall 5(4)
29 //
30 // 0 |
31 // 11/45 | 11/45
32 // 11/30 | 11/120 11/40
33 // 55/56 | 106865/87808 -408375/87808
34 // 9/10 | 79503/121000 -1053/440
35 // 1 | 89303/78045 -2025/473
36 // 1 | 1247/10890 0
37 //--------------------------------------------
38 // 1247/10890 0
39 // 21487/185130 0
40 //
41 // Author: Dmitry Sorokin, Google Summer of Co
42 // Supervision: John Apostolakis, CERN
43 // -------------------------------------------
44
45 #include "G4RK547FEq3.hh"
46 #include "G4LineSection.hh"
47 #include "G4FieldUtils.hh"
48
49 using namespace field_utils;
50
51 G4RK547FEq3::G4RK547FEq3(G4EquationOfMotion* E
52 : G4MagIntegratorStepper(EqRhs, integrationV
53 {
54 }
55
56 void G4RK547FEq3::makeStep( const G4double yIn
57 const G4double dyd
58 const G4double hst
59 G4double yOu
60 G4double* dy
61 G4double* yE
62 {
63 G4double yTemp[G4FieldTrack::ncompSVEC];
64 for (G4int i=GetNumberOfVariables(); i<Get
65 {
66 yOutput[i] = yTemp[i] = yInput[i];
67 }
68
69 G4double ak2[G4FieldTrack::ncompSVEC],
70 ak3[G4FieldTrack::ncompSVEC],
71 ak4[G4FieldTrack::ncompSVEC],
72 ak5[G4FieldTrack::ncompSVEC],
73 ak6[G4FieldTrack::ncompSVEC];
74
75 const G4double b21 = 11./45.,
76 b31 = 11./120., b32 = 11./4
77 b41 = 106865./87808., b42 =
78 b43 = 193875./43904.,
79 b51 = 79503./121000., b52 =
80 b53 = 147753./56870., b
81 b61 = 89303./78045., b62 =
82 b63 = 994650./244541.,
83 b65 = 475./2967.,
84 b71 = 1247./10890., b72 = 0
85 b74 = -1229312./1962015
86 b76 = 43./114.;
87
88 const G4double dc1 = b71 - 21487./185130.,
89 dc2 = b72 - 0.,
90 dc3 = b73 - 963225./1836901
91 dc4 = b74 + 39864832./33354
92 dc5 = b75 - 2575./3519.,
93 dc6 = b76 - 4472./4845.,
94 dc7 = 0. + 1./10.;
95
96 // RightHandSide(yInput, dydx);
97 for(G4int i = 0; i < GetNumberOfVariables(
98 {
99 yTemp[i] = yInput[i] + hstep * b21 * dyd
100 }
101
102 RightHandSide(yTemp, ak2);
103 for(G4int i = 0; i < GetNumberOfVariables(
104 {
105 yTemp[i] = yInput[i] + hstep * (b31 * dy
106 }
107
108 RightHandSide(yTemp, ak3);
109 for(G4int i = 0;i < GetNumberOfVariables()
110 {
111 yTemp[i] = yInput[i] + hstep * (b41 * dy
112 b43 * ak
113 }
114
115 RightHandSide(yTemp, ak4);
116 for(G4int i = 0; i < GetNumberOfVariables(
117 {
118 yTemp[i] = yInput[i] + hstep * (b51 * dy
119 b53 * ak
120 }
121
122 RightHandSide(yTemp, ak5);
123 for(G4int i = 0; i < GetNumberOfVariables(
124 {
125 yTemp[i] = yInput[i] + hstep * (b61 * dy
126 b63 * ak
127 b65 * ak
128 }
129
130 RightHandSide(yTemp, ak6);
131 for(G4int i = 0; i < GetNumberOfVariables(
132 {
133 yOutput[i] = yInput[i] + hstep * (b71 *
134 b73 *
135 b75 *
136 }
137 if ((dydxOutput != nullptr) && (yError !=
138 {
139 RightHandSide(yOutput, dydxOutput);
140 for(G4int i = 0; i < GetNumberOfVariab
141 {
142 yError[i] = hstep * (dc1 * dydx[i] +
143 dc4 * ak4[i] +
144 dc7 * dydxOutpu
145 }
146 }
147 }
148
149 void G4RK547FEq3::Stepper( const G4double yInp
150 const G4double dydx
151 G4double hste
152 G4double yOut
153 G4double yErr
154 {
155 copy(fyIn, yInput);
156 copy(fdydx, dydx);
157 fhstep = hstep;
158
159 makeStep(fyIn, fdydx, fhstep, fyOut, fdydx
160
161 copy(yOutput, fyOut);
162 }
163
164 void G4RK547FEq3::Stepper( const G4double yInp
165 const G4double dydx
166 G4double hste
167 G4double yOut
168 G4double yErr
169 G4double dydx
170 {
171 copy(fyIn, yInput);
172 copy(fdydx, dydx);
173 fhstep = hstep;
174
175 makeStep(fyIn, fdydx, fhstep, fyOut, fdydx
176
177 copy(yOutput, fyOut);
178 copy(dydxOutput, fdydxOut);
179 }
180
181 G4double G4RK547FEq3::DistChord() const
182 {
183 G4double yMid[G4FieldTrack::ncompSVEC];
184 makeStep(fyIn, fdydx, fhstep / 2., yMid);
185
186 const G4ThreeVector begin = makeVector(fyI
187 const G4ThreeVector mid = makeVector(yMid,
188 const G4ThreeVector end = makeVector(fyOut
189
190 return G4LineSection::Distline(mid, begin,
191 }
192