source: trunk/source/error_propagation/src/G4ErrorFreeTrajState.cc@ 1282

Last change on this file since 1282 was 1228, checked in by garnier, 16 years ago

update geant4.9.3 tag
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1//
2// ********************************************************************
3// * License and Disclaimer *
4// * *
5// * The Geant4 software is copyright of the Copyright Holders of *
6// * the Geant4 Collaboration. It is provided under the terms and *
7// * conditions of the Geant4 Software License, included in the file *
8// * LICENSE and available at http://cern.ch/geant4/license . These *
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14// * regarding this software system or assume any liability for its *
15// * use. Please see the license in the file LICENSE and URL above *
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17// * *
18// * This code implementation is the result of the scientific and *
19// * technical work of the GEANT4 collaboration. *
20// * By using, copying, modifying or distributing the software (or *
21// * any work based on the software) you agree to acknowledge its *
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24// ********************************************************************
25//
26// $Id: G4ErrorFreeTrajState.cc,v 1.8 2009/05/14 13:53:06 arce Exp $
27// GEANT4 tag $Name: geant4-09-03 $
28//
29// ------------------------------------------------------------
30// GEANT 4 class implementation file
31// ------------------------------------------------------------
32//
33#include "G4ErrorFreeTrajState.hh"
34#include "G4ErrorFreeTrajParam.hh"
35#include "G4ErrorSurfaceTrajState.hh"
36
37#include "G4ErrorMatrix.hh"
38#include <iomanip>
39
40#include "G4Field.hh"
41#include "G4FieldManager.hh"
42#include "G4TransportationManager.hh"
43#include "G4GeometryTolerance.hh"
44#include "G4Material.hh"
45#include "G4ErrorPropagatorData.hh"
46
47//------------------------------------------------------------------------
48G4ErrorFreeTrajState::G4ErrorFreeTrajState( const G4String& partType, const G4Point3D& pos, const G4Vector3D& mom, const G4ErrorTrajErr& errmat) : G4ErrorTrajState( partType, pos, mom, errmat )
49{
50 fTrajParam = G4ErrorFreeTrajParam( pos, mom );
51 Init();
52}
53
54
55//------------------------------------------------------------------------
56G4ErrorFreeTrajState::G4ErrorFreeTrajState( const G4ErrorSurfaceTrajState& tpSD ) : G4ErrorTrajState( tpSD.GetParticleType(), tpSD.GetPosition(), tpSD.GetMomentum() )
57{
58 // G4ThreeVector planeNormal = tpSD.GetPlaneNormal();
59 // G4double fPt = tpSD.GetMomentum()*planeNormal;//mom projected on normal to plane
60 // G4ErrorSurfaceTrajParam tpSDparam = tpSD.GetParameters();
61 // G4ThreeVector Psc = fPt * planeNormal + tpSDparam.GetPU()*tpSDparam.GetVectorU() + tpSD.GetPV()*tpSD.GetVectorW();
62
63 fTrajParam = G4ErrorFreeTrajParam( fPosition, fMomentum );
64 Init();
65
66 //----- Get the error matrix in SC coordinates
67 G4ErrorSurfaceTrajParam tpSDparam = tpSD.GetParameters();
68 G4double mom = fMomentum.mag();
69 G4double mom2 = fMomentum.mag2();
70 G4double TVW1 = std::sqrt( mom2 / ( mom2 + tpSDparam.GetPV()*tpSDparam.GetPV() + tpSDparam.GetPV()*tpSDparam.GetPV()) );
71 G4ThreeVector vTVW( TVW1, tpSDparam.GetPV()/mom * TVW1, tpSDparam.GetPW()/mom * TVW1 );
72 G4Vector3D vectorU = tpSDparam.GetVectorV().cross( tpSDparam.GetVectorW() );
73 G4Vector3D vTN = vTVW.x()*vectorU + vTVW.y()*tpSDparam.GetVectorV() + vTVW.z()*tpSDparam.GetVectorW();
74
75#ifdef G4EVERBOSE
76 if( iverbose >= 5){
77 G4double pc2 = std::asin( vTN.z() );
78 G4double pc3 = std::atan (vTN.y()/vTN.x());
79
80 G4cout << " CHECK: pc2 " << pc2 << " = " << GetParameters().GetLambda() << " diff " << pc2-GetParameters().GetLambda() << G4endl;
81 G4cout << " CHECK: pc3 " << pc3 << " = " << GetParameters().GetPhi() << " diff " << pc3-GetParameters().GetPhi() << G4endl;
82 }
83#endif
84
85 //--- Get the unit vectors perp to P
86 G4double cosl = std::cos( GetParameters().GetLambda() );
87 if (cosl < 1.E-30) cosl = 1.E-30;
88 G4double cosl1 = 1./cosl;
89 G4Vector3D vUN(-vTN.y()*cosl1, vTN.x()*cosl1, 0. );
90 G4Vector3D vVN(-vTN.z()*vUN.y(), vTN.z()*vUN.x(), cosl );
91
92 G4Vector3D vUperp = G4Vector3D( -fMomentum.y(), fMomentum.x(), 0.);
93 G4Vector3D vVperp = vUperp.cross( fMomentum );
94 vUperp *= 1./vUperp.mag();
95 vVperp *= 1./vVperp.mag();
96
97#ifdef G4EVERBOSE
98 if( iverbose >= 5){
99 G4cout << " CHECK: vUN " << vUN << " = " << vUperp << " diff " << (vUN-vUperp).mag() << G4endl;
100 G4cout << " CHECK: vVN " << vVN << " = " << vVperp << " diff " << (vVN-vVperp).mag() << G4endl;
101 }
102#endif
103
104 //get the dot products of vectors perpendicular to direction and vector defining SD plane
105 G4double dUU = vUperp * tpSD.GetVectorV();
106 G4double dUV = vUperp * tpSD.GetVectorW();
107 G4double dVU = vVperp * tpSD.GetVectorV();
108 G4double dVV = vVperp * tpSD.GetVectorW();
109
110
111 //--- Get transformation first
112 G4ErrorMatrix transfM(5, 5, 1 );
113 //--- Get magnetic field
114 const G4Field* field = G4TransportationManager::GetTransportationManager()->GetFieldManager()->GetDetectorField();
115 G4ThreeVector dir = fTrajParam.GetDirection();
116 G4double invCosTheta = 1./std::cos( dir.theta() );
117
118 if( fCharge != 0
119&& field ) {
120 G4double pos1[3]; pos1[0] = fPosition.x()*cm; pos1[1] = fPosition.y()*cm; pos1[2] = fPosition.z()*cm;
121 G4double h1[3];
122 field->GetFieldValue( pos1, h1 );
123 G4ThreeVector HPre = G4ThreeVector( h1[0], h1[1], h1[2] ) / tesla *10.;
124 G4double magHPre = HPre.mag();
125 G4double invP = 1./fMomentum.mag();
126 G4double magHPreM = magHPre * invP;
127 if( magHPre != 0. ) {
128 G4double magHPreM2 = fCharge / magHPre;
129
130 G4double Q = -magHPreM * c_light;
131 G4double sinz = -HPre*vUperp * magHPreM2;
132 G4double cosz = HPre*vVperp * magHPreM2;
133
134 transfM[1][3] = -Q*dir.y()*sinz;
135 transfM[1][4] = -Q*dir.z()*sinz;
136 transfM[2][3] = -Q*dir.y()*cosz*invCosTheta;
137 transfM[2][4] = -Q*dir.z()*cosz*invCosTheta;
138 }
139 }
140
141 transfM[0][0] = 1.;
142 transfM[1][1] = dir.x()*dVU;
143 transfM[1][2] = dir.x()*dVV;
144 transfM[2][1] = dir.x()*dUU*invCosTheta;
145 transfM[2][2] = dir.x()*dUV*invCosTheta;
146 transfM[3][3] = dUU;
147 transfM[3][4] = dUV;
148 transfM[4][3] = dVU;
149 transfM[4][4] = dVV;
150
151 fError = G4ErrorTrajErr( tpSD.GetError().similarity( transfM ) );
152
153#ifdef G4EVERBOSE
154 if( iverbose >= 1) G4cout << "error matrix SD2SC " << fError << G4endl;
155 if( iverbose >= 4) G4cout << "G4ErrorFreeTrajState from SD " << *this << G4endl;
156#endif
157}
158
159
160//------------------------------------------------------------------------
161void G4ErrorFreeTrajState::Init()
162{
163 theTSType = G4eTS_FREE;
164 BuildCharge();
165 theTransfMat = G4ErrorMatrix(5,5,0);
166 //- theFirstStep = true;
167}
168
169//------------------------------------------------------------------------
170void G4ErrorFreeTrajState::Dump( std::ostream& out ) const
171{
172 out << *this;
173}
174
175//------------------------------------------------------------------------
176G4int G4ErrorFreeTrajState::Update( const G4Track* aTrack )
177{
178 G4int ierr = 0;
179 fTrajParam.Update( aTrack );
180 UpdatePosMom( aTrack->GetPosition(), aTrack->GetMomentum() );
181 return ierr;
182
183}
184
185
186//------------------------------------------------------------------------
187std::ostream& operator<<(std::ostream& out, const G4ErrorFreeTrajState& ts)
188{
189 out.setf(std::ios::fixed,std::ios::floatfield);
190
191
192 ts.DumpPosMomError( out );
193
194 out << " G4ErrorFreeTrajState: Params: " << ts.fTrajParam << G4endl;
195
196 return out;
197
198}
199
200
201//------------------------------------------------------------------------
202G4int G4ErrorFreeTrajState::PropagateError( const G4Track* aTrack )
203{
204 G4double stepLengthCm = aTrack->GetStep()->GetStepLength()/cm;
205 if( G4ErrorPropagatorData::GetErrorPropagatorData()->GetStage() == G4ErrorStage_Deflation ) stepLengthCm *= -1.;
206
207 G4double kCarTolerance = G4GeometryTolerance::GetInstance()->GetSurfaceTolerance();
208
209 if( std::fabs(stepLengthCm) <= kCarTolerance/cm ) return 0;
210
211#ifdef G4EVERBOSE
212 if( iverbose >= 2 )G4cout << " G4ErrorFreeTrajState::PropagateError " << G4endl;
213#endif
214
215 // * *** ERROR PROPAGATION ON A HELIX ASSUMING SC VARIABLES
216 G4Point3D vposPost = aTrack->GetPosition()/cm;
217 G4Vector3D vpPost = aTrack->GetMomentum()/GeV;
218 // G4Point3D vposPre = fPosition/cm;
219 // G4Vector3D vpPre = fMomentum/GeV;
220 G4Point3D vposPre = aTrack->GetStep()->GetPreStepPoint()->GetPosition()/cm;
221 G4Vector3D vpPre = aTrack->GetStep()->GetPreStepPoint()->GetMomentum()/GeV;
222 //correct to avoid propagation along Z
223 if( vpPre.mag() == vpPre.z() ) vpPre.setX( 1.E-6*MeV );
224 if( vpPost.mag() == vpPost.z() ) vpPost.setX( 1.E-6*MeV );
225
226 G4double pPre = vpPre.mag();
227 G4double pPost = vpPost.mag();
228#ifdef G4EVERBOSE
229 if( iverbose >= 2 ) {
230 G4cout << "G4EP: vposPre " << vposPre << G4endl
231 << "G4EP: vposPost " << vposPost << G4endl;
232 G4cout << "G4EP: vpPre " << vpPre << G4endl
233 << "G4EP: vpPost " << vpPost << G4endl;
234 G4cout << " err start step " << fError << G4endl;
235 G4cout << "G4EP: stepLengthCm " << stepLengthCm << G4endl;
236 }
237#endif
238
239 if( pPre == 0. || pPost == 0 ) return 2;
240 G4double pInvPre = 1./pPre;
241 G4double pInvPost = 1./pPost;
242 G4double deltaPInv = pInvPost - pInvPre;
243
244 G4Vector3D vpPreNorm = vpPre * pInvPre;
245 G4Vector3D vpPostNorm = vpPost * pInvPost;
246 // if( iverbose >= 2 ) G4cout << "G4EP: vpPreNorm " << vpPreNorm << " vpPostNorm " << vpPostNorm << G4endl;
247 //return if propagation along Z??
248 if( 1. - std::fabs(vpPostNorm.z()) < kCarTolerance ) return 4;
249 G4double sinpPre = std::sin( vpPreNorm.theta() ); //cosine perpendicular to pPre = sine pPre
250 G4double sinpPost = std::sin( vpPostNorm.theta() ); //cosine perpendicular to pPost = sine pPost
251 G4double sinpPostInv = 1./std::sin( vpPreNorm.theta() );
252
253#ifdef G4EVERBOSE
254 if( iverbose >= 2 ) G4cout << "G4EP: cosl " << sinpPre << " cosl0 " << sinpPost << G4endl;
255#endif
256 //* *** DEFINE TRANSFORMATION MATRIX BETWEEN X1 AND X2 FOR
257 //* *** NEUTRAL PARTICLE OR FIELDFREE REGION
258 G4ErrorMatrix transf(5, 5, 0 );
259
260 transf[3][2] = stepLengthCm * sinpPost;
261 transf[4][1] = stepLengthCm;
262 for( size_t ii=0;ii < 5; ii++ ){
263 transf[ii][ii] = 1.;
264 }
265#ifdef G4EVERBOSE
266 if( iverbose >= 2 ) {
267 G4cout << "G4EP: transf matrix neutral " << transf;
268 }
269#endif
270
271 // charge X propagation direction
272 G4double charge = aTrack->GetDynamicParticle()->GetCharge();
273 if( G4ErrorPropagatorData::GetErrorPropagatorData()->GetMode() == G4ErrorMode_PropBackwards ) {
274 charge *= -1.;
275 }
276 // G4cout << " charge " << charge << G4endl;
277 //t check if particle has charge
278 //t if( charge == 0 ) goto 45;
279 // check if the magnetic field is = 0.
280
281 //position is from geant4, it is assumed to be in mm (for debugging, eventually it will not be transformed)
282 G4double pos1[3]; pos1[0] = vposPre.x()*cm; pos1[1] = vposPre.y()*cm; pos1[2] = vposPre.z()*cm;
283 G4double pos2[3]; pos2[0] = vposPost.x()*cm; pos2[1] = vposPost.y()*cm; pos2[2] = vposPost.z()*cm;
284 G4double h1[3], h2[3];
285
286 const G4Field* field = G4TransportationManager::GetTransportationManager()->GetFieldManager()->GetDetectorField();
287 if( !field ) return 0; //goto 45
288
289 // calculate transformation except it NEUTRAL PARTICLE OR FIELDFREE REGION
290 if( charge != 0. && field ) {
291
292 field->GetFieldValue( pos1, h1 );
293 field->GetFieldValue( pos2, h2 );
294 G4ThreeVector HPre = G4ThreeVector( h1[0], h1[1], h1[2] ) / tesla *10.; //10. is to get same dimensions as GEANT3 (kilogauss)
295 G4ThreeVector HPost= G4ThreeVector( h2[0], h2[1], h2[2] ) / tesla *10.;
296 G4double magHPre = HPre.mag();
297 G4double magHPost = HPost.mag();
298#ifdef G4EVERBOSE
299 if( iverbose >= 2 ) G4cout << "G4EP: HPre " << HPre << G4endl
300 << "G4EP: HPost " << HPost << G4endl;
301#endif
302
303 if( magHPre + magHPost != 0. ) {
304
305 //* *** CHECK WHETHER H*ALFA/P IS TOO DIFFERENT AT X1 AND X2
306 G4double gam;
307 if( magHPost != 0. ){
308 gam = HPost * vpPostNorm / magHPost;
309 }else {
310 gam = HPre * vpPreNorm / magHPre;
311 }
312
313 // G4eMagneticLimitsProcess will limit the step, but based on an straight line trajectory
314 G4double alphaSqr = 1. - gam * gam;
315 G4double diffHSqr = ( HPre * pInvPre - HPost * pInvPost ).mag2();
316 G4double delhp6Sqr = 300.*300.;
317#ifdef G4EVERBOSE
318 if( iverbose >= 2 ) G4cout << " G4EP: gam " << gam << " alphaSqr " << alphaSqr << " diffHSqr " << diffHSqr << G4endl;
319#endif
320 if( diffHSqr * alphaSqr > delhp6Sqr ) return 3;
321
322
323 //* *** DEFINE AVERAGE MAGNETIC FIELD AND GRADIENT
324 G4double pInvAver = 1./(pInvPre + pInvPost );
325 G4double CFACT8 = 2.997925E-4;
326 //G4double HAver
327 G4ThreeVector vHAverNorm( (HPre*pInvPre + HPost*pInvPost ) * pInvAver * charge * CFACT8 );
328 G4double HAver = vHAverNorm.mag();
329 G4double invHAver = 1./HAver;
330 vHAverNorm *= invHAver;
331#ifdef G4EVERBOSE
332 if( iverbose >= 2 ) G4cout << " G4EP: HaverNorm " << vHAverNorm << " magHAver " << HAver << " charge " << charge<< G4endl;
333#endif
334
335 G4double pAver = (pPre+pPost)*0.5;
336 G4double QAver = -HAver/pAver;
337 G4double thetaAver = QAver * stepLengthCm;
338 G4double sinThetaAver = std::sin(thetaAver);
339 G4double cosThetaAver = std::cos(thetaAver);
340 G4double gamma = vHAverNorm * vpPostNorm;
341 G4ThreeVector AN2 = vHAverNorm.cross( vpPostNorm );
342
343#ifdef G4EVERBOSE
344 if( iverbose >= 2 ) G4cout << " G4EP: AN2 " << AN2 << G4endl;
345#endif
346 G4double AU = 1./vpPreNorm.perp();
347 //t G4ThreeVector vU( vpPreNorm.cross( G4ThreeVector(0.,0.,1.) ) * AU );
348 G4ThreeVector vUPre( -AU*vpPreNorm.y(),
349 AU*vpPreNorm.x(),
350 0. );
351 G4ThreeVector vVPre( -vpPreNorm.z()*vUPre.y(),
352 vpPreNorm.z()*vUPre.x(),
353 vpPreNorm.x()*vUPre.y() - vpPreNorm.y()*vUPre.x() );
354
355 //
356 AU = 1./vpPostNorm.perp();
357 //t G4ThreeVector vU( vpPostNorm.cross( G4ThreeVector(0.,0.,1.) ) * AU );
358 G4ThreeVector vUPost( -AU*vpPostNorm.y(),
359 AU*vpPostNorm.x(),
360 0. );
361 G4ThreeVector vVPost( -vpPostNorm.z()*vUPost.y(),
362 vpPostNorm.z()*vUPost.x(),
363 vpPostNorm.x()*vUPost.y() - vpPostNorm.y()*vUPost.x() );
364#ifdef G4EVERBOSE
365 //- G4cout << " vpPostNorm " << vpPostNorm << G4endl;
366 if( iverbose >= 2 ) G4cout << " G4EP: AU " << AU << " vUPre " << vUPre << " vVPre " << vVPre << " vUPost " << vUPost << " vVPost " << vVPost << G4endl;
367#endif
368 G4Point3D deltaPos( vposPre - vposPost );
369
370 // * *** COMPLETE TRANSFORMATION MATRIX BETWEEN ERRORS AT X1 AND X2
371 // * *** FIELD GRADIENT PERPENDICULAR TO TRACK IS PRESENTLY NOT
372 // * *** TAKEN INTO ACCOUNT
373
374 G4double QP = QAver * pAver; // = -HAver
375#ifdef G4EVERBOSE
376 if( iverbose >= 2) G4cout << " G4EP: QP " << QP << " QAver " << QAver << " pAver " << pAver << G4endl;
377#endif
378 G4double ANV = -( vHAverNorm.x()*vUPost.x() + vHAverNorm.y()*vUPost.y() );
379 G4double ANU = ( vHAverNorm.x()*vVPost.x() + vHAverNorm.y()*vVPost.y() + vHAverNorm.z()*vVPost.z() );
380 G4double OMcosThetaAver = 1. - cosThetaAver;
381#ifdef G4EVERBOSE
382 if( iverbose >= 2) G4cout << "G4EP: OMcosThetaAver " << OMcosThetaAver << " cosThetaAver " << cosThetaAver << " thetaAver " << thetaAver << " QAver " << QAver << " stepLengthCm " << stepLengthCm << G4endl;
383#endif
384 G4double TMSINT = thetaAver - sinThetaAver;
385#ifdef G4EVERBOSE
386 if( iverbose >= 2 ) G4cout << " G4EP: ANV " << ANV << " ANU " << ANU << G4endl;
387#endif
388
389 G4ThreeVector vHUPre( -vHAverNorm.z() * vUPre.y(),
390 vHAverNorm.z() * vUPre.x(),
391 vHAverNorm.x() * vUPre.y() - vHAverNorm.y() * vUPre.x() );
392#ifdef G4EVERBOSE
393 // if( iverbose >= 2 ) G4cout << "G4EP: HUPre(1) " << vHUPre.x() << " " << vHAverNorm.z() << " " << vUPre.y() << G4endl;
394#endif
395 G4ThreeVector vHVPre( vHAverNorm.y() * vVPre.z() - vHAverNorm.z() * vVPre.y(),
396 vHAverNorm.z() * vVPre.x() - vHAverNorm.x() * vVPre.z(),
397 vHAverNorm.x() * vVPre.y() - vHAverNorm.y() * vVPre.x() );
398#ifdef G4EVERBOSE
399 if( iverbose >= 2 ) G4cout << " G4EP: HUPre " << vHUPre << " HVPre " << vHVPre << G4endl;
400#endif
401
402 //------------------- COMPUTE MATRIX
403 //---------- 1/P
404
405 transf[0][0] = 1.-deltaPInv*pAver*(1.+(vpPostNorm.x()*deltaPos.x()+vpPostNorm.y()*deltaPos.y()+vpPostNorm.z()*deltaPos.z())/stepLengthCm)
406 +2.*deltaPInv*pAver;
407
408 transf[0][1] = -deltaPInv/thetaAver*
409 ( TMSINT*gamma*(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z()) +
410 sinThetaAver*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z()) +
411 OMcosThetaAver*(vHVPre.x()*vpPostNorm.x()+vHVPre.y()*vpPostNorm.y()+vHVPre.z()*vpPostNorm.z()) );
412
413 transf[0][2] = -sinpPre*deltaPInv/thetaAver*
414 ( TMSINT*gamma*(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() ) +
415 sinThetaAver*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() ) +
416 OMcosThetaAver*(vHUPre.x()*vpPostNorm.x()+vHUPre.y()*vpPostNorm.y()+vHUPre.z()*vpPostNorm.z()) );
417
418 transf[0][3] = -deltaPInv/stepLengthCm*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() );
419
420 transf[0][4] = -deltaPInv/stepLengthCm*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z());
421
422 // *** Lambda
423 transf[1][0] = -QP*ANV*(vpPostNorm.x()*deltaPos.x()+vpPostNorm.y()*deltaPos.y()+vpPostNorm.z()*deltaPos.z())
424 *(1.+deltaPInv*pAver);
425#ifdef G4EVERBOSE
426 if(iverbose >= 3) G4cout << "ctransf10= " << transf[1][0] << " " << -QP<< " " << ANV<< " " << vpPostNorm.x()<< " " << deltaPos.x()<< " " << vpPostNorm.y()<< " " << deltaPos.y()<< " " << vpPostNorm.z()<< " " << deltaPos.z()
427 << " " << deltaPInv<< " " << pAver << G4endl;
428#endif
429
430 transf[1][1] = cosThetaAver*(vVPre.x()*vVPost.x()+vVPre.y()*vVPost.y()+vVPre.z()*vVPost.z()) +
431 sinThetaAver*(vHVPre.x()*vVPost.x()+vHVPre.y()*vVPost.y()+vHVPre.z()*vVPost.z()) +
432 OMcosThetaAver*(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z())*
433 (vHAverNorm.x()*vVPost.x()+vHAverNorm.y()*vVPost.y()+vHAverNorm.z()*vVPost.z()) +
434 ANV*( -sinThetaAver*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z()) +
435 OMcosThetaAver*(vVPre.x()*AN2.x()+vVPre.y()*AN2.y()+vVPre.z()*AN2.z()) -
436 TMSINT*gamma*(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z()) );
437
438 transf[1][2] = cosThetaAver*(vUPre.x()*vVPost.x()+vUPre.y()*vVPost.y() ) +
439 sinThetaAver*(vHUPre.x()*vVPost.x()+vHUPre.y()*vVPost.y()+vHUPre.z()*vVPost.z()) +
440 OMcosThetaAver*(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() )*
441 (vHAverNorm.x()*vVPost.x()+vHAverNorm.y()*vVPost.y()+vHAverNorm.z()*vVPost.z()) +
442 ANV*( -sinThetaAver*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() ) +
443 OMcosThetaAver*(vUPre.x()*AN2.x()+vUPre.y()*AN2.y() ) -
444 TMSINT*gamma*(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() ) );
445 transf[1][2] = sinpPre*transf[1][2];
446
447 transf[1][3] = -QAver*ANV*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() );
448
449 transf[1][4] = -QAver*ANV*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z());
450
451 // *** Phi
452
453 transf[2][0] = -QP*ANU*(vpPostNorm.x()*deltaPos.x()+vpPostNorm.y()*deltaPos.y()+vpPostNorm.z()*deltaPos.z())*sinpPostInv
454 *(1.+deltaPInv*pAver);
455#ifdef G4EVERBOSE
456 if(iverbose >= 3)G4cout <<"ctransf20= " << transf[2][0] <<" "<< -QP<<" "<<ANU<<" "<<vpPostNorm.x()<<" "<<deltaPos.x()<<" "<<vpPostNorm.y()<<" "<<deltaPos.y()<<" "<<vpPostNorm.z()<<" "<<deltaPos.z()<<" "<<sinpPostInv
457 <<" "<<deltaPInv<<" "<<pAver<< G4endl;
458#endif
459 transf[2][1] = cosThetaAver*(vVPre.x()*vUPost.x()+vVPre.y()*vUPost.y() ) +
460 sinThetaAver*(vHVPre.x()*vUPost.x()+vHVPre.y()*vUPost.y() ) +
461 OMcosThetaAver*(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z())*
462 (vHAverNorm.x()*vUPost.x()+vHAverNorm.y()*vUPost.y() ) +
463 ANU*( -sinThetaAver*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z()) +
464 OMcosThetaAver*(vVPre.x()*AN2.x()+vVPre.y()*AN2.y()+vVPre.z()*AN2.z()) -
465 TMSINT*gamma*(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z()) );
466 transf[2][1] = sinpPostInv*transf[2][1];
467
468 transf[2][2] = cosThetaAver*(vUPre.x()*vUPost.x()+vUPre.y()*vUPost.y() ) +
469 sinThetaAver*(vHUPre.x()*vUPost.x()+vHUPre.y()*vUPost.y() ) +
470 OMcosThetaAver*(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() )*
471 (vHAverNorm.x()*vUPost.x()+vHAverNorm.y()*vUPost.y() ) +
472 ANU*( -sinThetaAver*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() ) +
473 OMcosThetaAver*(vUPre.x()*AN2.x()+vUPre.y()*AN2.y() ) -
474 TMSINT*gamma*(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() ) );
475 transf[2][2] = sinpPostInv*sinpPre*transf[2][2];
476
477 transf[2][3] = -QAver*ANU*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() )*sinpPostInv;
478#ifdef G4EVERBOSE
479 if(iverbose >= 3)G4cout <<"ctransf23= " << transf[2][3] <<" "<< -QAver<<" "<<ANU<<" "<<vUPre.x()<<" "<<vpPostNorm.x()<<" "<< vUPre.y()<<" "<<vpPostNorm.y()<<" "<<sinpPostInv<<G4endl;
480#endif
481
482 transf[2][4] = -QAver*ANU*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z())*sinpPostInv;
483
484 // *** Yt
485
486 transf[3][0] = pAver*(vUPost.x()*deltaPos.x()+vUPost.y()*deltaPos.y() )
487 *(1.+deltaPInv*pAver);
488#ifdef G4EVERBOSE
489 if(iverbose >= 3) G4cout <<"ctransf30= " << transf[3][0] <<" "<< pAver<<" "<<vUPost.x()<<" "<<deltaPos.x()<<" "<<vUPost.y()<<" "<<deltaPos.y()
490 <<" "<<deltaPInv<<" "<<pAver<<G4endl;
491#endif
492
493 transf[3][1] = ( sinThetaAver*(vVPre.x()*vUPost.x()+vVPre.y()*vUPost.y() ) +
494 OMcosThetaAver*(vHVPre.x()*vUPost.x()+vHVPre.y()*vUPost.y() ) +
495 TMSINT*(vHAverNorm.x()*vUPost.x()+vHAverNorm.y()*vUPost.y() )*
496 (vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z()) )/QAver;
497
498 transf[3][2] = ( sinThetaAver*(vUPre.x()*vUPost.x()+vUPre.y()*vUPost.y() ) +
499 OMcosThetaAver*(vHUPre.x()*vUPost.x()+vHUPre.y()*vUPost.y() ) +
500 TMSINT*(vHAverNorm.x()*vUPost.x()+vHAverNorm.y()*vUPost.y() )*
501 (vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() ) )*sinpPre/QAver;
502#ifdef G4EVERBOSE
503 if(iverbose >= 3) G4cout <<"ctransf32= " << transf[3][2] <<" "<< sinThetaAver<<" "<<vUPre.x()<<" "<<vUPost.x()<<" "<<vUPre.y()<<" "<<vUPost.y() <<" "<<
504 OMcosThetaAver<<" "<<vHUPre.x()<<" "<<vUPost.x()<<" "<<vHUPre.y()<<" "<<vUPost.y() <<" "<<
505 TMSINT<<" "<<vHAverNorm.x()<<" "<<vUPost.x()<<" "<<vHAverNorm.y()<<" "<<vUPost.y() <<" "<<
506 vHAverNorm.x()<<" "<<vUPre.x()<<" "<<vHAverNorm.y()<<" "<<vUPre.y() <<" "<<sinpPre<<" "<<QAver<<G4endl;
507#endif
508
509 transf[3][3] = (vUPre.x()*vUPost.x()+vUPre.y()*vUPost.y() );
510
511 transf[3][4] = (vVPre.x()*vUPost.x()+vVPre.y()*vUPost.y() );
512
513 // *** Zt
514 transf[4][0] = pAver*(vVPost.x()*deltaPos.x()+vVPost.y()*deltaPos.y()+vVPost.z()*deltaPos.z())
515 *(1.+deltaPInv*pAver);
516
517 transf[4][1] = ( sinThetaAver*(vVPre.x()*vVPost.x()+vVPre.y()*vVPost.y()+vVPre.z()*vVPost.z()) +
518 OMcosThetaAver*(vHVPre.x()*vVPost.x()+vHVPre.y()*vVPost.y()+vHVPre.z()*vVPost.z()) +
519 TMSINT*(vHAverNorm.x()*vVPost.x()+vHAverNorm.y()*vVPost.y()+vHAverNorm.z()*vVPost.z())*
520 (vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z()) )/QAver;
521#ifdef G4EVERBOSE
522 if(iverbose >= 3)G4cout <<"ctransf41= " << transf[4][1] <<" "<< sinThetaAver<<" "<< OMcosThetaAver <<" "<<TMSINT<<" "<< vVPre <<" "<<vVPost <<" "<<vHVPre<<" "<<vHAverNorm <<" "<< QAver<<G4endl;
523#endif
524
525 transf[4][2] = ( sinThetaAver*(vUPre.x()*vVPost.x()+vUPre.y()*vVPost.y() ) +
526 OMcosThetaAver*(vHUPre.x()*vVPost.x()+vHUPre.y()*vVPost.y()+vHUPre.z()*vVPost.z()) +
527 TMSINT*(vHAverNorm.x()*vVPost.x()+vHAverNorm.y()*vVPost.y()+vHAverNorm.z()*vVPost.z())*
528 (vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() ) )*sinpPre/QAver;
529
530 transf[4][3] = (vUPre.x()*vVPost.x()+vUPre.y()*vVPost.y() );
531
532 transf[4][4] = (vVPre.x()*vVPost.x()+vVPre.y()*vVPost.y()+vVPre.z()*vVPost.z());
533 // if(iverbose >= 3) G4cout <<"ctransf44= " << transf[4][4] <<" "<< vVPre.x() <<" "<<vVPost.x() <<" "<< vVPre.y() <<" "<< vVPost.y() <<" "<< vVPre.z() <<" "<< vVPost.z() << G4endl;
534
535
536#ifdef G4EVERBOSE
537 if( iverbose >= 1 ) G4cout << "G4EP: transf matrix computed " << transf << G4endl;
538#endif
539 /* for( G4int ii=0;ii<5;ii++){
540 for( G4int jj=0;jj<5;jj++){
541 G4cout << transf[ii][jj] << " ";
542 }
543 G4cout << G4endl;
544 } */
545 }
546 }
547 // end of calculate transformation except it NEUTRAL PARTICLE OR FIELDFREE REGION
548 /* if( iverbose >= 1 ) G4cout << "G4EP: transf not updated but initialized " << theFirstStep << G4endl;
549 if( theFirstStep ) {
550 theTransfMat = transf;
551 theFirstStep = false;
552 }else{
553 theTransfMat = theTransfMat * transf;
554 if( iverbose >= 1 ) G4cout << "G4EP: transf matrix accumulated" << theTransfMat << G4endl;
555 }
556 */
557 theTransfMat = transf;
558#ifdef G4EVERBOSE
559 if( iverbose >= 1 ) G4cout << "G4EP: error matrix before transformation " << fError << G4endl;
560 if( iverbose >= 2 ) G4cout << " tf * err " << theTransfMat * fError << G4endl
561 << " transf matrix " << theTransfMat.T() << G4endl;
562#endif
563
564 fError = fError.similarity(theTransfMat).T();
565 //- fError = transf * fError * transf.T();
566#ifdef G4EVERBOSE
567 if( iverbose >= 1 ) G4cout << "G4EP: error matrix propagated " << fError << G4endl;
568#endif
569
570 //? S = B*S*BT S.similarity(B)
571 //? R = S
572 // not needed * *** TRANSFORM ERROR MATRIX FROM INTERNAL TO EXTERNAL VARIABLES;
573
574 PropagateErrorMSC( aTrack );
575
576 PropagateErrorIoni( aTrack );
577
578 return 0;
579}
580
581
582//------------------------------------------------------------------------
583G4int G4ErrorFreeTrajState::PropagateErrorMSC( const G4Track* aTrack )
584{
585 G4ThreeVector vpPre = aTrack->GetMomentum()/GeV;
586 G4double pPre = vpPre.mag();
587 G4double pBeta = pPre*pPre / (aTrack->GetTotalEnergy()/GeV);
588 G4double stepLengthCm = aTrack->GetStep()->GetStepLength()/cm;
589
590 G4Material* mate = aTrack->GetVolume()->GetLogicalVolume()->GetMaterial();
591 G4double effZ, effA;
592 CalculateEffectiveZandA( mate, effZ, effA );
593
594#ifdef G4EVERBOSE
595 if( iverbose >= 4 ) G4cout << "material " << mate->GetName()
596 //<< " " << mate->GetZ() << " " << mate->GetA()
597 << " " << effZ << " " << effA
598 << " " << mate->GetDensity()/g*mole << " " << mate->GetRadlen()/cm << " " << mate->GetNuclearInterLength()/cm << G4endl;
599#endif
600
601 G4double RI = stepLengthCm / (mate->GetRadlen()/cm);
602#ifdef G4EVERBOSE
603 if( iverbose >= 4 ) G4cout << std::setprecision(6) << std::setw(6) << "G4EP:MSC: RI " << RI << " stepLengthCm " << stepLengthCm << " radlen " << (mate->GetRadlen()/cm) << " " << RI*1.e10 << G4endl;
604#endif
605 G4double charge = aTrack->GetDynamicParticle()->GetCharge();
606 G4double DD = 1.8496E-4*RI*(charge/pBeta * charge/pBeta );
607#ifdef G4EVERBOSE
608 if( iverbose >= 3 ) G4cout << "G4EP:MSC: D*1E6= " << DD*1.E6 <<" pBeta " << pBeta << G4endl;
609#endif
610 G4double S1 = DD*stepLengthCm*stepLengthCm/3.;
611 G4double S2 = DD;
612 G4double S3 = DD*stepLengthCm/2.;
613
614 G4double CLA = std::sqrt( vpPre.x() * vpPre.x() + vpPre.y() * vpPre.y() )/pPre;
615#ifdef G4EVERBOSE
616 if( iverbose >= 2 ) G4cout << std::setw(6) << "G4EP:MSC: RI " << RI << " S1 " << S1 << " S2 " << S2 << " S3 " << S3 << " CLA " << CLA << G4endl;
617#endif
618 fError[1][1] += S2;
619 fError[1][4] -= S3;
620 fError[2][2] += S2/CLA/CLA;
621 fError[2][3] += S3/CLA;
622 fError[3][3] += S1;
623 fError[4][4] += S1;
624
625#ifdef G4EVERBOSE
626 if( iverbose >= 2 ) G4cout << "G4EP:MSC: error matrix propagated msc " << fError << G4endl;
627#endif
628
629 return 0;
630}
631
632
633//------------------------------------------------------------------------
634void G4ErrorFreeTrajState::CalculateEffectiveZandA( const G4Material* mate, G4double& effZ, G4double& effA )
635{
636 effZ = 0.;
637 effA = 0.;
638 G4int ii, nelem = mate->GetNumberOfElements();
639 const G4double* fracVec = mate->GetFractionVector();
640 for(ii=0; ii < nelem; ii++ ) {
641 effZ += mate->GetElement( ii )->GetZ() * fracVec[ii];
642 effA += mate->GetElement( ii )->GetA() * fracVec[ii] /g*mole;
643 }
644
645}
646
647
648//------------------------------------------------------------------------
649G4int G4ErrorFreeTrajState::PropagateErrorIoni( const G4Track* aTrack )
650{
651 G4double stepLengthCm = aTrack->GetStep()->GetStepLength()/cm;
652 G4double DEDX2;
653 if( stepLengthCm < 1.E-7 ) {
654 DEDX2=0.;
655 }
656 // * Calculate xi factor (KeV).
657 G4Material* mate = aTrack->GetVolume()->GetLogicalVolume()->GetMaterial();
658 G4double effZ, effA;
659 CalculateEffectiveZandA( mate, effZ, effA );
660
661 G4double Etot = aTrack->GetTotalEnergy()/GeV;
662 G4double beta = aTrack->GetMomentum().mag()/GeV / Etot;
663 G4double mass = aTrack->GetDynamicParticle()->GetMass() / GeV;
664 G4double gamma = Etot / mass;
665
666 // * Calculate xi factor (KeV).
667 G4double XI = 153.5*effZ*stepLengthCm*(mate->GetDensity()/mg*mole) /
668 (effA*beta*beta);
669
670#ifdef G4EVERBOSE
671 if( iverbose >= 2 ){
672 G4cout << "G4EP:IONI: XI " << XI << " beta " << beta << " gamma " << gamma << G4endl;
673 G4cout << " density " << (mate->GetDensity()/mg*mole) << " effA " << effA << " step " << stepLengthCm << G4endl;
674 }
675#endif
676 // * Maximum energy transfer to atomic electron (KeV).
677 G4double eta = beta*gamma;
678 G4double etasq = eta*eta;
679 G4double eMass = 0.51099906/GeV;
680 G4double massRatio = eMass / mass;
681 G4double F1 = 2*eMass*etasq;
682 G4double F2 = 1. + 2. * massRatio * gamma + massRatio * massRatio;
683 G4double Emax = 1.E+6*F1/F2;
684
685 // * *** and now sigma**2 in GeV
686 G4double dedxSq = XI*Emax*(1.-(beta*beta/2.))*1.E-12;
687#ifdef G4EVERBOSE
688 if( iverbose >= 2 ) G4cout << "G4EP:IONI: DEDX2 " << dedxSq << " emass " << eMass << " Emax " << Emax << G4endl;
689#endif
690
691 // if( iverbose >= 2 ) G4cout << "G4EP:IONI: Etot " << Etot << " DEDX2 " << dedxSq << " emass " << eMass << G4endl;
692
693 G4double pPre6 = (aTrack->GetStep()->GetPreStepPoint()->GetMomentum()/GeV).mag();
694 pPre6 = std::pow(pPre6, 6 );
695 //Apply it to error
696 fError[0][0] += Etot*Etot*dedxSq / pPre6;
697#ifdef G4EVERBOSE
698 if( iverbose >= 2 ) G4cout << "G4:IONI getot " << Etot << " dedx2 " << dedxSq << " p " << pPre6 << G4endl;
699 if( iverbose >= 2 ) G4cout << "G4EP:IONI: error_from_ionisation " << (Etot*Etot*dedxSq) / pPre6 << G4endl;
700#endif
701
702 return 0;
703}
704
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