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MagneticFieldGrid Class Reference

#include <MagneticFieldGrid.h>

Classes

class  BVector
 
class  HeaderType3
 

Public Member Functions

int gridType ()
 returns value of GridType (and eventually prints the type + short description) More...
 
void interpolateAtPoint (double X1, double X2, double X3, float &Bx, float &By, float &Bz)
 interpolates the magnetic field at input coordinate point and returns field values More...
 
int lineNumber (int Index1, int Index2, int Index3)
 
void load (const std::string &name)
 load grid binary file More...
 
 MagneticFieldGrid ()
 
void putCoordGetInd (double X1, double X2, double X3, int &Index1, int &Index2, int &Index3)
 
void putIndGetCoord (int Index1, int Index2, int Index3, double &X1, double &X2, double &X3)
 
void putIndicesGetB (int Index1, int Index2, int Index3, float &Bx, float &By, float &Bz)
 
 ~MagneticFieldGrid ()
 

Private Attributes

double BasicDistance0 [3]
 
double BasicDistance1 [3][3]
 
double BasicDistance2 [3][3]
 
bool EasyCoordinate [3]
 
std::vector< BVectorFieldValues
 
int GridType
 
int NumberOfPoints [3]
 
double ReferencePoint [3]
 
double RParAsFunOfPhi [4]
 

Detailed Description

load magnetic field grid from binary file remark: units are either (cm,cm,cm) or (cm,rad,cm) and Tesla for the magnetic field

additional functions either translate indices <-> coordinates, transfer data, or activate the interpolation between grid points

Author
: Volke.nosp@m.r.Dr.nosp@m.ollin.nosp@m.ger@.nosp@m.cern..nosp@m.ch

Modifications:

Definition at line 32 of file MagneticFieldGrid.h.

Constructor & Destructor Documentation

◆ MagneticFieldGrid()

MagneticFieldGrid::MagneticFieldGrid ( )
inline

Definition at line 35 of file MagneticFieldGrid.h.

References mps_fire::i, and dqmiolumiharvest::j.

35  {
36  GridType = 0;
37  for (int i = 0; i < 3; ++i) {
38  NumberOfPoints[i] = 0;
39  };
40  for (int i = 0; i < 3; ++i) {
41  ReferencePoint[i] = 0.;
42  };
43  for (int i = 0; i < 3; ++i) {
44  BasicDistance0[i] = 0.;
45  };
46  for (int i = 0; i < 3; ++i) {
47  for (int j = 0; j < 3; ++j) {
48  BasicDistance1[i][j] = 0.;
49  };
50  };
51  for (int i = 0; i < 3; ++i) {
52  for (int j = 0; j < 3; ++j) {
53  BasicDistance2[i][j] = 0.;
54  };
55  };
56  for (int i = 0; i < 4; ++i) {
57  RParAsFunOfPhi[i] = 0.;
58  };
59  for (int i = 0; i < 3; ++i) {
60  EasyCoordinate[i] = false;
61  };
62  }
double BasicDistance1[3][3]
double BasicDistance2[3][3]

◆ ~MagneticFieldGrid()

MagneticFieldGrid::~MagneticFieldGrid ( )
inline

Definition at line 64 of file MagneticFieldGrid.h.

64 {}

Member Function Documentation

◆ gridType()

int MagneticFieldGrid::gridType ( )

returns value of GridType (and eventually prints the type + short description)

Definition at line 77 of file MagneticFieldGrid.cc.

References gather_cfg::cout, and runonSM::text.

Referenced by GlobalGridWrapper::valueInTesla().

77  {
78  int type = GridType;
79  bool text = false;
80  if (text) {
81  if (type == 0)
82  cout << " grid type = " << type << " --> not determined" << endl;
83  if (type == 1)
84  cout << " grid type = " << type << " --> (x,y,z) cube" << endl;
85  if (type == 2)
86  cout << " grid type = " << type << " --> (x,y,z) trapezoid" << endl;
87  if (type == 3)
88  cout << " grid type = " << type << " --> (r,phi,z) cube" << endl;
89  if (type == 4)
90  cout << " grid type = " << type << " --> (r,phi,z) trapezoid" << endl;
91  if (type == 5)
92  cout << " grid type = " << type << " --> (r,phi,z) 1/sin(phi)" << endl;
93  }
94  return type;
95 }

◆ interpolateAtPoint()

void MagneticFieldGrid::interpolateAtPoint ( double  X1,
double  X2,
double  X3,
float &  Bx,
float &  By,
float &  Bz 
)

interpolates the magnetic field at input coordinate point and returns field values

Definition at line 97 of file MagneticFieldGrid.cc.

References VectorFieldInterpolation::defineCellPoint000(), VectorFieldInterpolation::defineCellPoint001(), VectorFieldInterpolation::defineCellPoint010(), VectorFieldInterpolation::defineCellPoint011(), VectorFieldInterpolation::defineCellPoint100(), VectorFieldInterpolation::defineCellPoint101(), VectorFieldInterpolation::defineCellPoint110(), VectorFieldInterpolation::defineCellPoint111(), dqmMemoryStats::float, mps_fire::i, SiStripPI::max, and VectorFieldInterpolation::putSCoordGetVField().

Referenced by GlobalGridWrapper::valueInTesla().

97  {
98  double dB[3] = {0., 0., 0.};
99  // define interpolation object
100  VectorFieldInterpolation MagInterpol;
101  // calculate indices for "CellPoint000"
102  int index[3];
103  putCoordGetInd(X1, X2, X3, index[0], index[1], index[2]);
104  int index0[3] = {0, 0, 0};
105  int index1[3] = {0, 0, 0};
106  for (int i = 0; i < 3; ++i) {
107  if (NumberOfPoints[i] > 1) {
108  index0[i] = max(0, index[i]);
109  if (index0[i] > NumberOfPoints[i] - 2)
110  index0[i] = NumberOfPoints[i] - 2;
111  index1[i] = max(1, index[i] + 1);
112  if (index1[i] > NumberOfPoints[i] - 1)
113  index1[i] = NumberOfPoints[i] - 1;
114  }
115  }
116  double tmpX[3];
117  float tmpB[3];
118  // define the corners of interpolation volume
119  // FIXME: should not unpack the arrays to then repack them as first thing.
120  putIndicesGetB(index0[0], index0[1], index0[2], tmpB[0], tmpB[1], tmpB[2]);
121  putIndGetCoord(index0[0], index0[1], index0[2], tmpX[0], tmpX[1], tmpX[2]);
122  MagInterpol.defineCellPoint000(tmpX[0], tmpX[1], tmpX[2], double(tmpB[0]), double(tmpB[1]), double(tmpB[2]));
123  putIndicesGetB(index1[0], index0[1], index0[2], tmpB[0], tmpB[1], tmpB[2]);
124  putIndGetCoord(index1[0], index0[1], index0[2], tmpX[0], tmpX[1], tmpX[2]);
125  MagInterpol.defineCellPoint100(tmpX[0], tmpX[1], tmpX[2], double(tmpB[0]), double(tmpB[1]), double(tmpB[2]));
126  putIndicesGetB(index0[0], index1[1], index0[2], tmpB[0], tmpB[1], tmpB[2]);
127  putIndGetCoord(index0[0], index1[1], index0[2], tmpX[0], tmpX[1], tmpX[2]);
128  MagInterpol.defineCellPoint010(tmpX[0], tmpX[1], tmpX[2], double(tmpB[0]), double(tmpB[1]), double(tmpB[2]));
129  putIndicesGetB(index1[0], index1[1], index0[2], tmpB[0], tmpB[1], tmpB[2]);
130  putIndGetCoord(index1[0], index1[1], index0[2], tmpX[0], tmpX[1], tmpX[2]);
131  MagInterpol.defineCellPoint110(tmpX[0], tmpX[1], tmpX[2], double(tmpB[0]), double(tmpB[1]), double(tmpB[2]));
132  putIndicesGetB(index0[0], index0[1], index1[2], tmpB[0], tmpB[1], tmpB[2]);
133  putIndGetCoord(index0[0], index0[1], index1[2], tmpX[0], tmpX[1], tmpX[2]);
134  MagInterpol.defineCellPoint001(tmpX[0], tmpX[1], tmpX[2], double(tmpB[0]), double(tmpB[1]), double(tmpB[2]));
135  putIndicesGetB(index1[0], index0[1], index1[2], tmpB[0], tmpB[1], tmpB[2]);
136  putIndGetCoord(index1[0], index0[1], index1[2], tmpX[0], tmpX[1], tmpX[2]);
137  MagInterpol.defineCellPoint101(tmpX[0], tmpX[1], tmpX[2], double(tmpB[0]), double(tmpB[1]), double(tmpB[2]));
138  putIndicesGetB(index0[0], index1[1], index1[2], tmpB[0], tmpB[1], tmpB[2]);
139  putIndGetCoord(index0[0], index1[1], index1[2], tmpX[0], tmpX[1], tmpX[2]);
140  MagInterpol.defineCellPoint011(tmpX[0], tmpX[1], tmpX[2], double(tmpB[0]), double(tmpB[1]), double(tmpB[2]));
141  putIndicesGetB(index1[0], index1[1], index1[2], tmpB[0], tmpB[1], tmpB[2]);
142  putIndGetCoord(index1[0], index1[1], index1[2], tmpX[0], tmpX[1], tmpX[2]);
143  MagInterpol.defineCellPoint111(tmpX[0], tmpX[1], tmpX[2], double(tmpB[0]), double(tmpB[1]), double(tmpB[2]));
144  // interpolate
145  MagInterpol.putSCoordGetVField(X1, X2, X3, dB[0], dB[1], dB[2]);
146  Bx = float(dB[0]);
147  By = float(dB[1]);
148  Bz = float(dB[2]);
149  return;
150 }
void putCoordGetInd(double X1, double X2, double X3, int &Index1, int &Index2, int &Index3)
void defineCellPoint100(double X1, double X2, double X3, double F1, double F2, double F3)
void defineCellPoint110(double X1, double X2, double X3, double F1, double F2, double F3)
void putIndGetCoord(int Index1, int Index2, int Index3, double &X1, double &X2, double &X3)
void defineCellPoint101(double X1, double X2, double X3, double F1, double F2, double F3)
void putSCoordGetVField(double X1, double X2, double X3, double &F1, double &F2, double &F3)
receive the interpolated field (out) at any point in space (in)
void defineCellPoint010(double X1, double X2, double X3, double F1, double F2, double F3)
void defineCellPoint111(double X1, double X2, double X3, double F1, double F2, double F3)
void defineCellPoint000(double X1, double X2, double X3, double F1, double F2, double F3)
provide the interpolation algorithm with 8 points, where the field is known (in)
void putIndicesGetB(int Index1, int Index2, int Index3, float &Bx, float &By, float &Bz)
void defineCellPoint001(double X1, double X2, double X3, double F1, double F2, double F3)
void defineCellPoint011(double X1, double X2, double X3, double F1, double F2, double F3)

◆ lineNumber()

int MagneticFieldGrid::lineNumber ( int  Index1,
int  Index2,
int  Index3 
)

Definition at line 310 of file MagneticFieldGrid.cc.

310  {
311  return Index1 * NumberOfPoints[1] * NumberOfPoints[2] + Index2 * NumberOfPoints[2] + Index3;
312 }

◆ load()

void MagneticFieldGrid::load ( const std::string &  name)

load grid binary file

Definition at line 7 of file MagneticFieldGrid.cc.

References cms::cuda::assert(), binary_ifstream::close(), gather_cfg::cout, Skims_PA_cff::name, submitDQMOfflineCAF::nLines, and MagneticFieldGrid::BVector::putB3().

Referenced by GlobalGridWrapper::GlobalGridWrapper().

7  {
8  binary_ifstream inFile(name);
9  inFile >> GridType;
10  // reading the header
11  switch (GridType) {
12  case 1:
13  inFile >> NumberOfPoints[0] >> NumberOfPoints[1] >> NumberOfPoints[2];
14  inFile >> ReferencePoint[0] >> ReferencePoint[1] >> ReferencePoint[2];
15  inFile >> BasicDistance0[0] >> BasicDistance0[1] >> BasicDistance0[2];
16  break;
17  case 2:
18  inFile >> NumberOfPoints[0] >> NumberOfPoints[1] >> NumberOfPoints[2];
19  inFile >> ReferencePoint[0] >> ReferencePoint[1] >> ReferencePoint[2];
20  inFile >> BasicDistance0[0] >> BasicDistance0[1] >> BasicDistance0[2];
21  inFile >> BasicDistance1[0][0] >> BasicDistance1[1][0] >> BasicDistance1[2][0];
22  inFile >> BasicDistance1[0][1] >> BasicDistance1[1][1] >> BasicDistance1[2][1];
23  inFile >> BasicDistance1[0][2] >> BasicDistance1[1][2] >> BasicDistance1[2][2];
24  inFile >> BasicDistance2[0][0] >> BasicDistance2[1][0] >> BasicDistance2[2][0];
25  inFile >> BasicDistance2[0][1] >> BasicDistance2[1][1] >> BasicDistance2[2][1];
26  inFile >> BasicDistance2[0][2] >> BasicDistance2[1][2] >> BasicDistance2[2][2];
27  inFile >> EasyCoordinate[0] >> EasyCoordinate[1] >> EasyCoordinate[2];
28  break;
29  case 3:
30  inFile >> NumberOfPoints[0] >> NumberOfPoints[1] >> NumberOfPoints[2];
31  inFile >> ReferencePoint[0] >> ReferencePoint[1] >> ReferencePoint[2];
32  inFile >> BasicDistance0[0] >> BasicDistance0[1] >> BasicDistance0[2];
33  break;
34  case 4:
35  inFile >> NumberOfPoints[0] >> NumberOfPoints[1] >> NumberOfPoints[2];
36  inFile >> ReferencePoint[0] >> ReferencePoint[1] >> ReferencePoint[2];
37  inFile >> BasicDistance0[0] >> BasicDistance0[1] >> BasicDistance0[2];
38  inFile >> BasicDistance1[0][0] >> BasicDistance1[1][0] >> BasicDistance1[2][0];
39  inFile >> BasicDistance1[0][1] >> BasicDistance1[1][1] >> BasicDistance1[2][1];
40  inFile >> BasicDistance1[0][2] >> BasicDistance1[1][2] >> BasicDistance1[2][2];
41  inFile >> BasicDistance2[0][0] >> BasicDistance2[1][0] >> BasicDistance2[2][0];
42  inFile >> BasicDistance2[0][1] >> BasicDistance2[1][1] >> BasicDistance2[2][1];
43  inFile >> BasicDistance2[0][2] >> BasicDistance2[1][2] >> BasicDistance2[2][2];
44  inFile >> EasyCoordinate[0] >> EasyCoordinate[1] >> EasyCoordinate[2];
45  break;
46  case 5:
47  inFile >> NumberOfPoints[0] >> NumberOfPoints[1] >> NumberOfPoints[2];
48  inFile >> ReferencePoint[0] >> ReferencePoint[1] >> ReferencePoint[2];
49  inFile >> BasicDistance0[0] >> BasicDistance0[1] >> BasicDistance0[2];
50  inFile >> RParAsFunOfPhi[0] >> RParAsFunOfPhi[1] >> RParAsFunOfPhi[2] >> RParAsFunOfPhi[3];
51  break;
52  default:
53  assert(0); //this is a bug
54  }
55  //reading the field
56  float Bx, By, Bz;
57  BVector FieldEntry;
59  FieldValues.reserve(nLines);
60 
61  for (int iLine = 0; iLine < nLines; ++iLine) {
62  inFile >> Bx >> By >> Bz;
63  FieldEntry.putB3(Bx, By, Bz);
64  FieldValues.push_back(FieldEntry);
65  }
66  // check completeness and close file
67  string lastEntry;
68  inFile >> lastEntry;
69  inFile.close();
70  if (lastEntry != "complete") {
71  GridType = 0;
72  cout << "error during file reading: file is not complete" << endl;
73  }
74  return;
75 }
assert(be >=bs)
std::vector< BVector > FieldValues
double BasicDistance1[3][3]
double BasicDistance2[3][3]

◆ putCoordGetInd()

void MagneticFieldGrid::putCoordGetInd ( double  X1,
double  X2,
double  X3,
int &  Index1,
int &  Index2,
int &  Index3 
)

Definition at line 156 of file MagneticFieldGrid.cc.

References cms::cuda::assert(), mps_fire::i, createfilelist::int, dqmiolumiharvest::j, hltrates_dqm_sourceclient-live_cfg::offset, funct::sin(), and l1tSlwPFPuppiJets_cfi::sinPhi.

156  {
157  double pnt[3] = {X1, X2, X3};
158  int index[3];
159  switch (GridType) {
160  case 1: {
161  for (int i = 0; i < 3; ++i) {
162  index[i] = int((pnt[i] - ReferencePoint[i]) / BasicDistance0[i]);
163  }
164  break;
165  }
166  case 2: {
167  // FIXME: Should use else!
168  for (int i = 0; i < 3; ++i) {
169  if (EasyCoordinate[i]) {
170  index[i] = int((pnt[i] - ReferencePoint[i]) / BasicDistance0[i]);
171  } else
172  index[i] = 0; //computed below
173  }
174  for (int i = 0; i < 3; ++i) {
175  if (!EasyCoordinate[i]) {
176  double stepSize = BasicDistance0[i];
177  double offset = 0.0;
178  for (int j = 0; j < 3; ++j) {
179  stepSize += BasicDistance1[i][j] * index[j];
180  offset += BasicDistance2[i][j] * index[j];
181  }
182  index[i] = int((pnt[i] - (ReferencePoint[i] + offset)) / stepSize);
183  }
184  }
185  break;
186  }
187  case 3: {
188  for (int i = 0; i < 3; ++i) {
189  index[i] = int((pnt[i] - ReferencePoint[i]) / BasicDistance0[i]);
190  }
191  break;
192  }
193  case 4: {
194  // FIXME: should use else!
195  for (int i = 0; i < 3; ++i) {
196  if (EasyCoordinate[i]) {
197  index[i] = int((pnt[i] - ReferencePoint[i]) / BasicDistance0[i]);
198  } else
199  index[i] = 0; //computed below
200  }
201  for (int i = 0; i < 3; ++i) {
202  if (!EasyCoordinate[i]) {
203  double stepSize = BasicDistance0[i];
204  double offset = 0.0;
205  for (int j = 0; j < 3; ++j) {
206  stepSize += BasicDistance1[i][j] * index[j];
207  offset += BasicDistance2[i][j] * index[j];
208  }
209  index[i] = int((pnt[i] - (ReferencePoint[i] + offset)) / stepSize);
210  }
211  }
212  break;
213  }
214  case 5: {
215  double sinPhi = sin(pnt[1]);
216  double stepSize = RParAsFunOfPhi[0] + RParAsFunOfPhi[1] / sinPhi - RParAsFunOfPhi[2] - RParAsFunOfPhi[3] / sinPhi;
217  stepSize = stepSize / (NumberOfPoints[0] - 1);
218  double startingPoint = RParAsFunOfPhi[2] + RParAsFunOfPhi[3] / sinPhi;
219  index[0] = int((pnt[0] - startingPoint) / stepSize);
220  index[1] = int((pnt[1] - ReferencePoint[1]) / BasicDistance0[1]);
221  index[2] = int((pnt[2] - ReferencePoint[2]) / BasicDistance0[2]);
222  break;
223  }
224  default:
225  assert(0); //shouldn't be here
226  }
227  Index1 = index[0];
228  Index2 = index[1];
229  Index3 = index[2];
230  return;
231 }
Sin< T >::type sin(const T &t)
Definition: Sin.h:22
assert(be >=bs)
double BasicDistance1[3][3]
double BasicDistance2[3][3]

◆ putIndGetCoord()

void MagneticFieldGrid::putIndGetCoord ( int  Index1,
int  Index2,
int  Index3,
double &  X1,
double &  X2,
double &  X3 
)

Definition at line 243 of file MagneticFieldGrid.cc.

References cms::cuda::assert(), mps_fire::i, dqmiolumiharvest::j, hltrates_dqm_sourceclient-live_cfg::offset, funct::sin(), and l1tSlwPFPuppiJets_cfi::sinPhi.

243  {
244  int index[3] = {Index1, Index2, Index3};
245  double pnt[3];
246  switch (GridType) {
247  case 1: {
248  for (int i = 0; i < 3; ++i) {
249  pnt[i] = ReferencePoint[i] + BasicDistance0[i] * index[i];
250  }
251  break;
252  }
253  case 2: {
254  for (int i = 0; i < 3; ++i) {
255  if (EasyCoordinate[i]) {
256  pnt[i] = ReferencePoint[i] + BasicDistance0[i] * index[i];
257  } else {
258  double stepSize = BasicDistance0[i];
259  double offset = 0.0;
260  for (int j = 0; j < 3; ++j) {
261  stepSize += BasicDistance1[i][j] * index[j];
262  offset += BasicDistance2[i][j] * index[j];
263  }
264  pnt[i] = ReferencePoint[i] + offset + stepSize * index[i];
265  }
266  }
267  break;
268  }
269  case 3: {
270  for (int i = 0; i < 3; ++i) {
271  pnt[i] = ReferencePoint[i] + BasicDistance0[i] * index[i];
272  }
273  break;
274  }
275  case 4: {
276  for (int i = 0; i < 3; ++i) {
277  if (EasyCoordinate[i]) {
278  pnt[i] = ReferencePoint[i] + BasicDistance0[i] * index[i];
279  } else {
280  double stepSize = BasicDistance0[i];
281  double offset = 0.0;
282  for (int j = 0; j < 3; ++j) {
283  stepSize += BasicDistance1[i][j] * index[j];
284  offset += BasicDistance2[i][j] * index[j];
285  }
286  pnt[i] = ReferencePoint[i] + offset + stepSize * index[i];
287  }
288  }
289  break;
290  }
291  case 5: {
292  pnt[2] = ReferencePoint[2] + BasicDistance0[2] * index[2];
293  pnt[1] = ReferencePoint[1] + BasicDistance0[1] * index[1];
294  double sinPhi = sin(pnt[1]);
295  double stepSize = RParAsFunOfPhi[0] + RParAsFunOfPhi[1] / sinPhi - RParAsFunOfPhi[2] - RParAsFunOfPhi[3] / sinPhi;
296  stepSize = stepSize / (NumberOfPoints[0] - 1);
297  double startingPoint = RParAsFunOfPhi[2] + RParAsFunOfPhi[3] / sinPhi;
298  pnt[0] = startingPoint + stepSize * index[0];
299  break;
300  }
301  default:
302  assert(0); //bug if make it here
303  }
304  X1 = pnt[0];
305  X2 = pnt[1];
306  X3 = pnt[2];
307  return;
308 }
Sin< T >::type sin(const T &t)
Definition: Sin.h:22
assert(be >=bs)
double BasicDistance1[3][3]
double BasicDistance2[3][3]

◆ putIndicesGetB()

void MagneticFieldGrid::putIndicesGetB ( int  Index1,
int  Index2,
int  Index3,
float &  Bx,
float &  By,
float &  Bz 
)

Definition at line 233 of file MagneticFieldGrid.cc.

References MagneticFieldGrid::BVector::bx(), MagneticFieldGrid::BVector::by(), and MagneticFieldGrid::BVector::bz().

233  {
234  BVector FieldEntry;
235  FieldEntry = FieldValues.operator[](lineNumber(Index1, Index2, Index3));
236  Bx = FieldEntry.bx();
237  By = FieldEntry.by();
238  Bz = FieldEntry.bz();
239  return;
240 }
std::vector< BVector > FieldValues
int lineNumber(int Index1, int Index2, int Index3)

Member Data Documentation

◆ BasicDistance0

double MagneticFieldGrid::BasicDistance0[3]
private

Definition at line 105 of file MagneticFieldGrid.h.

◆ BasicDistance1

double MagneticFieldGrid::BasicDistance1[3][3]
private

Definition at line 106 of file MagneticFieldGrid.h.

◆ BasicDistance2

double MagneticFieldGrid::BasicDistance2[3][3]
private

Definition at line 107 of file MagneticFieldGrid.h.

◆ EasyCoordinate

bool MagneticFieldGrid::EasyCoordinate[3]
private

Definition at line 109 of file MagneticFieldGrid.h.

◆ FieldValues

std::vector<BVector> MagneticFieldGrid::FieldValues
private

Definition at line 111 of file MagneticFieldGrid.h.

◆ GridType

int MagneticFieldGrid::GridType
private

Definition at line 101 of file MagneticFieldGrid.h.

◆ NumberOfPoints

int MagneticFieldGrid::NumberOfPoints[3]
private

Definition at line 103 of file MagneticFieldGrid.h.

◆ ReferencePoint

double MagneticFieldGrid::ReferencePoint[3]
private

Definition at line 104 of file MagneticFieldGrid.h.

◆ RParAsFunOfPhi

double MagneticFieldGrid::RParAsFunOfPhi[4]
private

Definition at line 108 of file MagneticFieldGrid.h.