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25 //
26 // G4RK547FEq1 implementation
27 //
28 // The Butcher table of the Higham & Hall 5(4)
29 //
30 // 0 |
31 // 2/9 | 2/9
32 // 1/3 | 1/12 1/4
33 // 1/2 | 1/8 0 3/8
34 // 3/5 | 91/500 -27/100 78/125
35 // 1 | -11/20 27/20 12/5
36 // 1 | 1/12 0 27/32
37 //--------------------------------------------
38 // 1/12 0 27/32
39 // 2/15 0 27/80
40 //
41 // Author: Dmitry Sorokin, Google Summer of Co
42 // Supervision: John Apostolakis, CERN
43 // -------------------------------------------
44
45 #include "G4RK547FEq1.hh"
46 #include "G4LineSection.hh"
47 #include "G4FieldUtils.hh"
48
49 using namespace field_utils;
50
51 G4RK547FEq1::G4RK547FEq1(G4EquationOfMotion* E
52 : G4MagIntegratorStepper(EqRhs, integrationV
53 {
54 }
55
56 void G4RK547FEq1::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 = 2./9.,
76 b31 = 1./12., b32 = 1./4.,
77 b41 = 1./8., b42 = 0., b43
78 b51 = 91./500., b52 = -27./
79 b53 = 78./125., b54 = 8./
80 b61 = -11./20., b62 = 27./2
81 b64 = -36./5., b65 = 5.,
82 b71 = 1./12., b72 = 0.,
83 b74 = -4./3., b75 = 125./
84
85 const G4double dc1 = b71 - 2./15.,
86 dc2 = b72 - 0.,
87 dc3 = b73 - 27./80.,
88 dc4 = b74 + 2./15.,
89 dc5 = b75 - 25./48.,
90 dc6 = b76 - 1./24.,
91 dc7 = 0. - 1./10.;
92
93 // RightHandSide(yInput, dydx);
94 for(G4int i = 0; i < GetNumberOfVariables(
95 {
96 yTemp[i] = yInput[i] + hstep * b21 * dyd
97 }
98
99 RightHandSide(yTemp, ak2);
100 for(G4int i = 0; i < GetNumberOfVariables(
101 {
102 yTemp[i] = yInput[i] + hstep * (b31 * dy
103 }
104
105 RightHandSide(yTemp, ak3);
106 for(G4int i = 0;i < GetNumberOfVariables()
107 {
108 yTemp[i] = yInput[i] + hstep * (b41 * dy
109 b43 * ak
110 }
111
112 RightHandSide(yTemp, ak4);
113 for(G4int i = 0; i < GetNumberOfVariables(
114 {
115 yTemp[i] = yInput[i] + hstep * (b51 * dy
116 b53 * ak
117 }
118
119 RightHandSide(yTemp, ak5);
120 for(G4int i = 0; i < GetNumberOfVariables(
121 {
122 yTemp[i] = yInput[i] + hstep * (b61 * dy
123 b63 * ak
124 b65 * ak
125 }
126
127 RightHandSide(yTemp, ak6);
128 for(G4int i = 0; i < GetNumberOfVariables(
129 {
130 yOutput[i] = yInput[i] + hstep * (b71 *
131 b73 *
132 b75 *
133 }
134 if ((dydxOutput != nullptr) && (yError !=
135 {
136 RightHandSide(yOutput, dydxOutput);
137 for(G4int i = 0; i < GetNumberOfVariab
138 {
139 yError[i] = hstep * (dc1 * dydx[i] +
140 dc4 * ak4[i] +
141 dc7 * dydxOutpu
142 }
143 }
144 }
145
146 void G4RK547FEq1::Stepper( const G4double yInp
147 const G4double dydx
148 G4double hste
149 G4double yOut
150 G4double yErr
151 {
152 copy(fyIn, yInput);
153 copy(fdydx, dydx);
154 fhstep = hstep;
155
156 makeStep(fyIn, fdydx, fhstep, fyOut, fdydx
157
158 copy(yOutput, fyOut);
159 }
160
161 void G4RK547FEq1::Stepper( const G4double yInp
162 const G4double dydx
163 G4double hste
164 G4double yOut
165 G4double yErr
166 G4double dydx
167 {
168 copy(fyIn, yInput);
169 copy(fdydx, dydx);
170 fhstep = hstep;
171
172 makeStep(fyIn,fdydx, fhstep, fyOut, fdydxO
173
174 copy(yOutput, fyOut);
175 copy(dydxOutput, fdydxOut);
176 }
177
178 G4double G4RK547FEq1::DistChord() const
179 {
180 G4double yMid[G4FieldTrack::ncompSVEC];
181 makeStep(fyIn, fdydx, fhstep / 2., yMid);
182
183 const G4ThreeVector begin = makeVector(fyI
184 const G4ThreeVector mid = makeVector(yMid,
185 const G4ThreeVector end = makeVector(fyOut
186
187 return G4LineSection::Distline(mid, begin,
188 }
189