Import Geant4 9.0.0 source tree

This commit is contained in:
Gabriele Cosmo
2016-06-09 15:16:48 +02:00
parent 75c7fd177d
commit a8e9364cea
6592 changed files with 84274 additions and 69292 deletions
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//
// ********************************************************************
// * License and Disclaimer *
// * *
// * The Geant4 software is copyright of the Copyright Holders of *
// * the Geant4 Collaboration. It is provided under the terms and *
// * conditions of the Geant4 Software License, included in the file *
// * LICENSE and available at http://cern.ch/geant4/license . These *
// * include a list of copyright holders. *
// * *
// * Neither the authors of this software system, nor their employing *
// * institutes,nor the agencies providing financial support for this *
// * work make any representation or warranty, express or implied, *
// * regarding this software system or assume any liability for its *
// * use. Please see the license in the file LICENSE and URL above *
// * for the full disclaimer and the limitation of liability. *
// * *
// * This code implementation is the result of the scientific and *
// * technical work of the GEANT4 collaboration. *
// * By using, copying, modifying or distributing the software (or *
// * any work based on the software) you agree to acknowledge its *
// * use in resulting scientific publications, and indicate your *
// * acceptance of all terms of the Geant4 Software license. *
// ********************************************************************
//
// $Id: G4ErrorFreeTrajState.cc,v 1.6 2007/06/21 15:04:04 gunter Exp $
// GEANT4 tag $Name: geant4-09-00 $
//
// ------------------------------------------------------------
// GEANT 4 class implementation file
// ------------------------------------------------------------
//
#include "G4ErrorFreeTrajState.hh"
#include "G4ErrorFreeTrajParam.hh"
#include "G4ErrorSurfaceTrajState.hh"
#include "G4ErrorMatrix.hh"
#include <iomanip>
#include "G4Field.hh"
#include "G4FieldManager.hh"
#include "G4TransportationManager.hh"
#include "G4GeometryTolerance.hh"
#include "G4Material.hh"
#include "G4ErrorPropagatorData.hh"
//------------------------------------------------------------------------
G4ErrorFreeTrajState::G4ErrorFreeTrajState( const G4String& partType, const G4Point3D& pos, const G4Vector3D& mom, const G4ErrorTrajErr& errmat) : G4ErrorTrajState( partType, pos, mom, errmat )
{
fTrajParam = G4ErrorFreeTrajParam( pos, mom );
Init();
}
//------------------------------------------------------------------------
G4ErrorFreeTrajState::G4ErrorFreeTrajState( const G4ErrorSurfaceTrajState& tpSD ) : G4ErrorTrajState( tpSD.GetParticleType(), tpSD.GetPosition(), tpSD.GetMomentum() )
{
// G4ThreeVector planeNormal = tpSD.GetPlaneNormal();
// G4double fPt = tpSD.GetMomentum()*planeNormal;//mom projected on normal to plane
// G4ErrorSurfaceTrajParam tpSDparam = tpSD.GetParameters();
// G4ThreeVector Psc = fPt * planeNormal + tpSDparam.GetPU()*tpSDparam.GetVectorU() + tpSD.GetPV()*tpSD.GetVectorW();
fTrajParam = G4ErrorFreeTrajParam( fPosition, fMomentum );
Init();
//----- Get the error matrix in SC coordinates
G4ErrorSurfaceTrajParam tpSDparam = tpSD.GetParameters();
G4double mom = fMomentum.mag();
G4double mom2 = fMomentum.mag2();
G4double TVW1 = std::sqrt( mom2 / ( mom2 + tpSDparam.GetPV()*tpSDparam.GetPV() + tpSDparam.GetPV()*tpSDparam.GetPV()) );
G4ThreeVector vTVW( TVW1, tpSDparam.GetPV()/mom * TVW1, tpSDparam.GetPW()/mom * TVW1 );
G4Vector3D vectorU = tpSDparam.GetVectorV().cross( tpSDparam.GetVectorW() );
G4Vector3D vTN = vTVW.x()*vectorU + vTVW.y()*tpSDparam.GetVectorV() + vTVW.z()*tpSDparam.GetVectorW();
#ifdef G4EVERBOSE
if( iverbose >= 5){
G4double pc2 = std::asin( vTN.z() );
G4double pc3 = std::atan (vTN.y()/vTN.x());
G4cout << " CHECK: pc2 " << pc2 << " = " << GetParameters().GetLambda() << " diff " << pc2-GetParameters().GetLambda() << G4endl;
G4cout << " CHECK: pc3 " << pc3 << " = " << GetParameters().GetPhi() << " diff " << pc3-GetParameters().GetPhi() << G4endl;
}
#endif
//--- Get the unit vectors perp to P
G4double cosl = std::cos( GetParameters().GetLambda() );
if (cosl < 1.E-30) cosl = 1.E-30;
G4double cosl1 = 1./cosl;
G4Vector3D vUN(-vTN.y()*cosl1, vTN.x()*cosl1, 0. );
G4Vector3D vVN(-vTN.z()*vUN.y(), vTN.z()*vUN.x(), cosl );
G4Vector3D vUperp = G4Vector3D( -fMomentum.y(), fMomentum.x(), 0.);
G4Vector3D vVperp = vUperp.cross( fMomentum );
vUperp *= 1./vUperp.mag();
vVperp *= 1./vVperp.mag();
#ifdef G4EVERBOSE
if( iverbose >= 5){
G4cout << " CHECK: vUN " << vUN << " = " << vUperp << " diff " << (vUN-vUperp).mag() << G4endl;
G4cout << " CHECK: vVN " << vVN << " = " << vVperp << " diff " << (vVN-vVperp).mag() << G4endl;
}
#endif
//get the dot products of vectors perpendicular to direction and vector defining SD plane
G4double dUU = vUperp * tpSD.GetVectorV();
G4double dUV = vUperp * tpSD.GetVectorW();
G4double dVU = vVperp * tpSD.GetVectorV();
G4double dVV = vVperp * tpSD.GetVectorW();
//--- Get transformation first
G4ErrorMatrix transfM(5, 5, 1 );
//--- Get magnetic field
const G4Field* field = G4TransportationManager::GetTransportationManager()->GetFieldManager()->GetDetectorField();
G4ThreeVector dir = fTrajParam.GetDirection();
G4double invCosTheta = 1./std::cos( dir.theta() );
if( fCharge != 0
&& field ) {
G4double pos1[3]; pos1[0] = fPosition.x()*cm; pos1[1] = fPosition.y()*cm; pos1[2] = fPosition.z()*cm;
G4double h1[3];
field->GetFieldValue( pos1, h1 );
G4ThreeVector HPre = G4ThreeVector( h1[0], h1[1], h1[2] ) / tesla *10.;
G4double magHPre = HPre.mag();
G4double invP = 1./fMomentum.mag();
G4double magHPreM = magHPre * invP;
if( magHPre != 0. ) {
G4double magHPreM2 = fCharge / magHPre;
G4double Q = -magHPreM * c_light;
G4double sinz = -HPre*vUperp * magHPreM2;
G4double cosz = HPre*vVperp * magHPreM2;
transfM[1][3] = -Q*dir.y()*sinz;
transfM[1][4] = -Q*dir.z()*sinz;
transfM[2][3] = -Q*dir.y()*cosz*invCosTheta;
transfM[2][4] = -Q*dir.z()*cosz*invCosTheta;
}
}
transfM[0][0] = 1.;
transfM[1][1] = dir.x()*dVU;
transfM[1][2] = dir.x()*dVV;
transfM[2][1] = dir.x()*dUU*invCosTheta;
transfM[2][2] = dir.x()*dUV*invCosTheta;
transfM[3][3] = dUU;
transfM[3][4] = dUV;
transfM[4][3] = dVU;
transfM[4][4] = dVV;
fError = G4ErrorTrajErr( tpSD.GetError().similarity( transfM ) );
#ifdef G4EVERBOSE
if( iverbose >= 1) G4cout << "error matrix SD2SC " << fError << G4endl;
if( iverbose >= 4) G4cout << "G4ErrorFreeTrajState from SD " << *this << G4endl;
#endif
}
//------------------------------------------------------------------------
void G4ErrorFreeTrajState::Init()
{
theTSType = G4eTS_FREE;
BuildCharge();
theTransfMat = G4ErrorMatrix(5,5,0);
//- theFirstStep = true;
}
//------------------------------------------------------------------------
void G4ErrorFreeTrajState::Dump( std::ostream& out ) const
{
out << *this;
}
//------------------------------------------------------------------------
G4int G4ErrorFreeTrajState::Update( const G4Track* aTrack )
{
G4int ierr = 0;
fTrajParam.Update( aTrack );
UpdatePosMom( aTrack->GetPosition(), aTrack->GetMomentum() );
return ierr;
}
//------------------------------------------------------------------------
std::ostream& operator<<(std::ostream& out, const G4ErrorFreeTrajState& ts)
{
out.setf(std::ios::fixed,std::ios::floatfield);
ts.DumpPosMomError( out );
out << " G4ErrorFreeTrajState: Params: " << ts.fTrajParam << G4endl;
return out;
}
//------------------------------------------------------------------------
G4int G4ErrorFreeTrajState::PropagateError( const G4Track* aTrack )
{
G4double stepLengthCm = aTrack->GetStep()->GetStepLength()/cm;
G4double kCarTolerance = G4GeometryTolerance::GetInstance()->GetSurfaceTolerance();
if( std::fabs(stepLengthCm) <= kCarTolerance/cm ) return 0;
#ifdef G4EVERBOSE
if( iverbose >= 2 )G4cout << " G4ErrorFreeTrajState::PropagateError " << G4endl;
#endif
// * *** ERROR PROPAGATION ON A HELIX ASSUMING SC VARIABLES
G4Point3D vposPost = aTrack->GetPosition()/cm;
G4Vector3D vpPost = aTrack->GetMomentum()/GeV;
// G4Point3D vposPre = fPosition/cm;
// G4Vector3D vpPre = fMomentum/GeV;
G4Point3D vposPre = aTrack->GetStep()->GetPreStepPoint()->GetPosition()/cm;
G4Vector3D vpPre = aTrack->GetStep()->GetPreStepPoint()->GetMomentum()/GeV;
//correct to avoid propagation along Z
if( vpPre.mag() == vpPre.z() ) vpPre.setX( 1.E-6*MeV );
if( vpPost.mag() == vpPost.z() ) vpPost.setX( 1.E-6*MeV );
G4double pPre = vpPre.mag();
G4double pPost = vpPost.mag();
#ifdef G4EVERBOSE
if( iverbose >= 2 ) {
G4cout << "G4EP: vposPre " << vposPre << G4endl
<< "G4EP: vposPost " << vposPost << G4endl;
G4cout << "G4EP: vpPre " << vpPre << G4endl
<< "G4EP: vpPost " << vpPost << G4endl;
G4cout << " err start step " << fError << G4endl;
G4cout << "G4EP: stepLengthCm " << stepLengthCm << G4endl;
}
#endif
if( pPre == 0. || pPost == 0 ) return 2;
G4double pInvPre = 1./pPre;
G4double pInvPost = 1./pPost;
G4double deltaPInv = pInvPost - pInvPre;
G4Vector3D vpPreNorm = vpPre * pInvPre;
G4Vector3D vpPostNorm = vpPost * pInvPost;
// if( iverbose >= 2 ) G4cout << "G4EP: vpPreNorm " << vpPreNorm << " vpPostNorm " << vpPostNorm << G4endl;
//return if propagation along Z??
if( 1. - std::fabs(vpPostNorm.z()) < kCarTolerance ) return 4;
G4double sinpPre = std::sin( vpPreNorm.theta() ); //cosine perpendicular to pPre = sine pPre
G4double sinpPost = std::sin( vpPostNorm.theta() ); //cosine perpendicular to pPost = sine pPost
G4double sinpPostInv = 1./std::sin( vpPreNorm.theta() );
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << "G4EP: cosl " << sinpPre << " cosl0 " << sinpPost << G4endl;
#endif
//* *** DEFINE TRANSFORMATION MATRIX BETWEEN X1 AND X2 FOR
//* *** NEUTRAL PARTICLE OR FIELDFREE REGION
G4ErrorMatrix transf(5, 5, 0 );
transf[3][2] = stepLengthCm * sinpPost;
transf[4][1] = stepLengthCm;
for( size_t ii=0;ii < 5; ii++ ){
transf[ii][ii] = 1.;
}
#ifdef G4EVERBOSE
if( iverbose >= 2 ) {
G4cout << "G4EP: transf matrix neutral " << transf;
}
#endif
// charge X propagation direction
G4double charge = aTrack->GetDynamicParticle()->GetCharge();
if( G4ErrorPropagatorData::GetErrorPropagatorData()->GetMode() == G4ErrorMode_PropBackwards ) {
charge *= -1.;
}
// G4cout << " charge " << charge << G4endl;
//t check if particle has charge
//t if( charge == 0 ) goto 45;
// check if the magnetic field is = 0.
//position is from geant4, it is assumed to be in mm (for debugging, eventually it will not be transformed)
G4double pos1[3]; pos1[0] = vposPre.x()*cm; pos1[1] = vposPre.y()*cm; pos1[2] = vposPre.z()*cm;
G4double pos2[3]; pos2[0] = vposPost.x()*cm; pos2[1] = vposPost.y()*cm; pos2[2] = vposPost.z()*cm;
G4double h1[3], h2[3];
const G4Field* field = G4TransportationManager::GetTransportationManager()->GetFieldManager()->GetDetectorField();
if( !field ) return 0; //goto 45
// calculate transformation except it NEUTRAL PARTICLE OR FIELDFREE REGION
if( charge != 0. && field ) {
field->GetFieldValue( pos1, h1 );
field->GetFieldValue( pos2, h2 );
G4ThreeVector HPre = G4ThreeVector( h1[0], h1[1], h1[2] ) / tesla *10.; //10. is to get same dimensions as GEANT3 (kilogauss)
G4ThreeVector HPost= G4ThreeVector( h2[0], h2[1], h2[2] ) / tesla *10.;
G4double magHPre = HPre.mag();
G4double magHPost = HPost.mag();
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << "G4EP: HPre " << HPre << G4endl
<< "G4EP: HPost " << HPost << G4endl;
#endif
if( magHPre + magHPost != 0. ) {
//* *** CHECK WHETHER H*ALFA/P IS TOO DIFFERENT AT X1 AND X2
G4double gam;
if( magHPost != 0. ){
gam = HPost * vpPostNorm / magHPost;
}else {
gam = HPre * vpPreNorm / magHPre;
}
// G4eMagneticLimitsProcess will limit the step, but based on an straight line trajectory
G4double alphaSqr = 1. - gam * gam;
G4double diffHSqr = ( HPre * pInvPre - HPost * pInvPost ).mag2();
G4double delhp6Sqr = 300.*300.;
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << " G4EP: gam " << gam << " alphaSqr " << alphaSqr << " diffHSqr " << diffHSqr << G4endl;
#endif
if( diffHSqr * alphaSqr > delhp6Sqr ) return 3;
//* *** DEFINE AVERAGE MAGNETIC FIELD AND GRADIENT
G4double pInvAver = 1./(pInvPre + pInvPost );
G4double CFACT8 = 2.997925E-4;
//G4double HAver
G4ThreeVector vHAverNorm( (HPre*pInvPre + HPost*pInvPost ) * pInvAver * charge * CFACT8 );
G4double HAver = vHAverNorm.mag();
G4double invHAver = 1./HAver;
vHAverNorm *= invHAver;
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << " G4EP: HaverNorm " << vHAverNorm << " magHAver " << HAver << " charge " << charge<< G4endl;
#endif
G4double pAver = (pPre+pPost)*0.5;
G4double QAver = -HAver/pAver;
G4double thetaAver = QAver * stepLengthCm;
G4double sinThetaAver = std::sin(thetaAver);
G4double cosThetaAver = std::cos(thetaAver);
G4double gamma = vHAverNorm * vpPostNorm;
G4ThreeVector AN2 = vHAverNorm.cross( vpPostNorm );
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << " G4EP: AN2 " << AN2 << G4endl;
#endif
G4double AU = 1./vpPreNorm.perp();
//t G4ThreeVector vU( vpPreNorm.cross( G4ThreeVector(0.,0.,1.) ) * AU );
G4ThreeVector vUPre( -AU*vpPreNorm.y(),
AU*vpPreNorm.x(),
0. );
G4ThreeVector vVPre( -vpPreNorm.z()*vUPre.y(),
vpPreNorm.z()*vUPre.x(),
vpPreNorm.x()*vUPre.y() - vpPreNorm.y()*vUPre.x() );
//
AU = 1./vpPostNorm.perp();
//t G4ThreeVector vU( vpPostNorm.cross( G4ThreeVector(0.,0.,1.) ) * AU );
G4ThreeVector vUPost( -AU*vpPostNorm.y(),
AU*vpPostNorm.x(),
0. );
G4ThreeVector vVPost( -vpPostNorm.z()*vUPost.y(),
vpPostNorm.z()*vUPost.x(),
vpPostNorm.x()*vUPost.y() - vpPostNorm.y()*vUPost.x() );
#ifdef G4EVERBOSE
//- G4cout << " vpPostNorm " << vpPostNorm << G4endl;
if( iverbose >= 2 ) G4cout << " G4EP: AU " << AU << " vUPre " << vUPre << " vVPre " << vVPre << " vUPost " << vUPost << " vVPost " << vVPost << G4endl;
#endif
G4Point3D deltaPos( vposPre - vposPost );
// * *** COMPLETE TRANSFORMATION MATRIX BETWEEN ERRORS AT X1 AND X2
// * *** FIELD GRADIENT PERPENDICULAR TO TRACK IS PRESENTLY NOT
// * *** TAKEN INTO ACCOUNT
G4double QP = QAver * pAver; // = -HAver
#ifdef G4EVERBOSE
if( iverbose >= 2) G4cout << " G4EP: QP " << QP << " QAver " << QAver << " pAver " << pAver << G4endl;
#endif
G4double ANV = -( vHAverNorm.x()*vUPost.x() + vHAverNorm.y()*vUPost.y() );
G4double ANU = ( vHAverNorm.x()*vVPost.x() + vHAverNorm.y()*vVPost.y() + vHAverNorm.z()*vVPost.z() );
G4double OMcosThetaAver = 1. - cosThetaAver;
#ifdef G4EVERBOSE
if( iverbose >= 2) G4cout << "G4EP: OMcosThetaAver " << OMcosThetaAver << " cosThetaAver " << cosThetaAver << " thetaAver " << thetaAver << " QAver " << QAver << " stepLengthCm " << stepLengthCm << G4endl;
#endif
G4double TMSINT = thetaAver - sinThetaAver;
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << " G4EP: ANV " << ANV << " ANU " << ANU << G4endl;
#endif
G4ThreeVector vHUPre( -vHAverNorm.z() * vUPre.y(),
vHAverNorm.z() * vUPre.x(),
vHAverNorm.x() * vUPre.y() - vHAverNorm.y() * vUPre.x() );
#ifdef G4EVERBOSE
// if( iverbose >= 2 ) G4cout << "G4EP: HUPre(1) " << vHUPre.x() << " " << vHAverNorm.z() << " " << vUPre.y() << G4endl;
#endif
G4ThreeVector vHVPre( vHAverNorm.y() * vVPre.z() - vHAverNorm.z() * vVPre.y(),
vHAverNorm.z() * vVPre.x() - vHAverNorm.x() * vVPre.z(),
vHAverNorm.x() * vVPre.y() - vHAverNorm.y() * vVPre.x() );
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << " G4EP: HUPre " << vHUPre << " HVPre " << vHVPre << G4endl;
#endif
//------------------- COMPUTE MATRIX
//---------- 1/P
transf[0][0] = 1.-deltaPInv*pAver*(1.+(vpPostNorm.x()*deltaPos.x()+vpPostNorm.y()*deltaPos.y()+vpPostNorm.z()*deltaPos.z())/stepLengthCm)
+2.*deltaPInv*pAver;
transf[0][1] = -deltaPInv/thetaAver*
( TMSINT*gamma*(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z()) +
sinThetaAver*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z()) +
OMcosThetaAver*(vHVPre.x()*vpPostNorm.x()+vHVPre.y()*vpPostNorm.y()+vHVPre.z()*vpPostNorm.z()) );
transf[0][2] = -sinpPre*deltaPInv/thetaAver*
( TMSINT*gamma*(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() ) +
sinThetaAver*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() ) +
OMcosThetaAver*(vHUPre.x()*vpPostNorm.x()+vHUPre.y()*vpPostNorm.y()+vHUPre.z()*vpPostNorm.z()) );
transf[0][3] = -deltaPInv/stepLengthCm*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() );
transf[0][4] = -deltaPInv/stepLengthCm*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z());
// *** Lambda
transf[1][0] = -QP*ANV*(vpPostNorm.x()*deltaPos.x()+vpPostNorm.y()*deltaPos.y()+vpPostNorm.z()*deltaPos.z())
*(1.+deltaPInv*pAver);
#ifdef G4EVERBOSE
if(iverbose >= 3) G4cout << "ctransf10= " << transf[1][0] << " " << -QP<< " " << ANV<< " " << vpPostNorm.x()<< " " << deltaPos.x()<< " " << vpPostNorm.y()<< " " << deltaPos.y()<< " " << vpPostNorm.z()<< " " << deltaPos.z()
<< " " << deltaPInv<< " " << pAver << G4endl;
#endif
transf[1][1] = cosThetaAver*(vVPre.x()*vVPost.x()+vVPre.y()*vVPost.y()+vVPre.z()*vVPost.z()) +
sinThetaAver*(vHVPre.x()*vVPost.x()+vHVPre.y()*vVPost.y()+vHVPre.z()*vVPost.z()) +
OMcosThetaAver*(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z())*
(vHAverNorm.x()*vVPost.x()+vHAverNorm.y()*vVPost.y()+vHAverNorm.z()*vVPost.z()) +
ANV*( -sinThetaAver*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z()) +
OMcosThetaAver*(vVPre.x()*AN2.x()+vVPre.y()*AN2.y()+vVPre.z()*AN2.z()) -
TMSINT*gamma*(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z()) );
transf[1][2] = cosThetaAver*(vUPre.x()*vVPost.x()+vUPre.y()*vVPost.y() ) +
sinThetaAver*(vHUPre.x()*vVPost.x()+vHUPre.y()*vVPost.y()+vHUPre.z()*vVPost.z()) +
OMcosThetaAver*(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() )*
(vHAverNorm.x()*vVPost.x()+vHAverNorm.y()*vVPost.y()+vHAverNorm.z()*vVPost.z()) +
ANV*( -sinThetaAver*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() ) +
OMcosThetaAver*(vUPre.x()*AN2.x()+vUPre.y()*AN2.y() ) -
TMSINT*gamma*(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() ) );
transf[1][2] = sinpPre*transf[1][3];
transf[1][3] = -QAver*ANV*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() );
transf[1][4] = -QAver*ANV*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z());
// *** Phi
transf[2][0] = -QP*ANU*(vpPostNorm.x()*deltaPos.x()+vpPostNorm.y()*deltaPos.y()+vpPostNorm.z()*deltaPos.z())*sinpPostInv
*(1.+deltaPInv*pAver);
#ifdef G4EVERBOSE
if(iverbose >= 3)G4cout <<"ctransf20= " << transf[2][0] <<" "<< -QP<<" "<<ANU<<" "<<vpPostNorm.x()<<" "<<deltaPos.x()<<" "<<vpPostNorm.y()<<" "<<deltaPos.y()<<" "<<vpPostNorm.z()<<" "<<deltaPos.z()<<" "<<sinpPostInv
<<" "<<deltaPInv<<" "<<pAver<< G4endl;
#endif
transf[2][1] = cosThetaAver*(vVPre.x()*vUPost.x()+vVPre.y()*vUPost.y() ) +
sinThetaAver*(vHVPre.x()*vUPost.x()+vHVPre.y()*vUPost.y() ) +
OMcosThetaAver*(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z())*
(vHAverNorm.x()*vUPost.x()+vHAverNorm.y()*vUPost.y() ) +
ANU*( -sinThetaAver*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z()) +
OMcosThetaAver*(vVPre.x()*AN2.x()+vVPre.y()*AN2.y()+vVPre.z()*AN2.z()) -
TMSINT*gamma*(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z()) );
transf[2][1] = sinpPostInv*transf[2][1];
transf[2][2] = cosThetaAver*(vUPre.x()*vUPost.x()+vUPre.y()*vUPost.y() ) +
sinThetaAver*(vHUPre.x()*vUPost.x()+vHUPre.y()*vUPost.y() ) +
OMcosThetaAver*(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() )*
(vHAverNorm.x()*vUPost.x()+vHAverNorm.y()*vUPost.y() ) +
ANU*( -sinThetaAver*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() ) +
OMcosThetaAver*(vUPre.x()*AN2.x()+vUPre.y()*AN2.y() ) -
TMSINT*gamma*(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() ) );
transf[2][2] = sinpPostInv*sinpPre*transf[2][2];
transf[2][3] = -QAver*ANU*(vUPre.x()*vpPostNorm.x()+vUPre.y()*vpPostNorm.y() )*sinpPostInv;
#ifdef G4EVERBOSE
if(iverbose >= 3)G4cout <<"ctransf23= " << transf[2][3] <<" "<< -QAver<<" "<<ANU<<" "<<vUPre.x()<<" "<<vpPostNorm.x()<<" "<< vUPre.y()<<" "<<vpPostNorm.y()<<" "<<sinpPostInv<<G4endl;
#endif
transf[2][4] = -QAver*ANU*(vVPre.x()*vpPostNorm.x()+vVPre.y()*vpPostNorm.y()+vVPre.z()*vpPostNorm.z())*sinpPostInv;
// *** Yt
transf[3][0] = pAver*(vUPost.x()*deltaPos.x()+vUPost.y()*deltaPos.y() )
*(1.+deltaPInv*pAver);
#ifdef G4EVERBOSE
if(iverbose >= 3) G4cout <<"ctransf30= " << transf[3][0] <<" "<< pAver<<" "<<vUPost.x()<<" "<<deltaPos.x()<<" "<<vUPost.y()<<" "<<deltaPos.y()
<<" "<<deltaPInv<<" "<<pAver<<G4endl;
#endif
transf[3][1] = ( sinThetaAver*(vVPre.x()*vUPost.x()+vVPre.y()*vUPost.y() ) +
OMcosThetaAver*(vHVPre.x()*vUPost.x()+vHVPre.y()*vUPost.y() ) +
TMSINT*(vHAverNorm.x()*vUPost.x()+vHAverNorm.y()*vUPost.y() )*
(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z()) )/QAver;
transf[3][2] = ( sinThetaAver*(vUPre.x()*vUPost.x()+vUPre.y()*vUPost.y() ) +
OMcosThetaAver*(vHUPre.x()*vUPost.x()+vHUPre.y()*vUPost.y() ) +
TMSINT*(vHAverNorm.x()*vUPost.x()+vHAverNorm.y()*vUPost.y() )*
(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() ) )*sinpPre/QAver;
#ifdef G4EVERBOSE
if(iverbose >= 3) G4cout <<"ctransf32= " << transf[3][2] <<" "<< sinThetaAver<<" "<<vUPre.x()<<" "<<vUPost.x()<<" "<<vUPre.y()<<" "<<vUPost.y() <<" "<<
OMcosThetaAver<<" "<<vHUPre.x()<<" "<<vUPost.x()<<" "<<vHUPre.y()<<" "<<vUPost.y() <<" "<<
TMSINT<<" "<<vHAverNorm.x()<<" "<<vUPost.x()<<" "<<vHAverNorm.y()<<" "<<vUPost.y() <<" "<<
vHAverNorm.x()<<" "<<vUPre.x()<<" "<<vHAverNorm.y()<<" "<<vUPre.y() <<" "<<sinpPre<<" "<<QAver<<G4endl;
#endif
transf[3][3] = (vUPre.x()*vUPost.x()+vUPre.y()*vUPost.y() );
transf[3][4] = (vVPre.x()*vUPost.x()+vVPre.y()*vUPost.y() );
// *** Zt
transf[4][0] = pAver*(vVPost.x()*deltaPos.x()+vVPost.y()*deltaPos.y()+vVPost.z()*deltaPos.z())
*(1.+deltaPInv*pAver);
transf[4][1] = ( sinThetaAver*(vVPre.x()*vVPost.x()+vVPre.y()*vVPost.y()+vVPre.z()*vVPost.z()) +
OMcosThetaAver*(vHVPre.x()*vVPost.x()+vHVPre.y()*vVPost.y()+vHVPre.z()*vVPost.z()) +
TMSINT*(vHAverNorm.x()*vVPost.x()+vHAverNorm.y()*vVPost.y()+vHAverNorm.z()*vVPost.z())*
(vHAverNorm.x()*vVPre.x()+vHAverNorm.y()*vVPre.y()+vHAverNorm.z()*vVPre.z()) )/QAver;
#ifdef G4EVERBOSE
if(iverbose >= 3)G4cout <<"ctransf41= " << transf[4][1] <<" "<< sinThetaAver<<" "<< OMcosThetaAver <<" "<<TMSINT<<" "<< vVPre <<" "<<vVPost <<" "<<vHVPre<<" "<<vHAverNorm <<" "<< QAver<<G4endl;
#endif
transf[4][2] = ( sinThetaAver*(vUPre.x()*vVPost.x()+vUPre.y()*vVPost.y() ) +
OMcosThetaAver*(vHUPre.x()*vVPost.x()+vHUPre.y()*vVPost.y()+vHUPre.z()*vVPost.z()) +
TMSINT*(vHAverNorm.x()*vVPost.x()+vHAverNorm.y()*vVPost.y()+vHAverNorm.z()*vVPost.z())*
(vHAverNorm.x()*vUPre.x()+vHAverNorm.y()*vUPre.y() ) )*sinpPre/QAver;
transf[4][3] = (vUPre.x()*vVPost.x()+vUPre.y()*vVPost.y() );
transf[4][4] = (vVPre.x()*vVPost.x()+vVPre.y()*vVPost.y()+vVPre.z()*vVPost.z());
// if(iverbose >= 3) G4cout <<"ctransf44= " << transf[4][4] <<" "<< vVPre.x() <<" "<<vVPost.x() <<" "<< vVPre.y() <<" "<< vVPost.y() <<" "<< vVPre.z() <<" "<< vVPost.z() << G4endl;
#ifdef G4EVERBOSE
if( iverbose >= 1 ) G4cout << "G4EP: transf matrix computed " << transf << G4endl;
#endif
/* for( G4int ii=0;ii<5;ii++){
for( G4int jj=0;jj<5;jj++){
G4cout << transf[ii][jj] << " ";
}
G4cout << G4endl;
} */
}
}
// end of calculate transformation except it NEUTRAL PARTICLE OR FIELDFREE REGION
/* if( iverbose >= 1 ) G4cout << "G4EP: transf not updated but initialized " << theFirstStep << G4endl;
if( theFirstStep ) {
theTransfMat = transf;
theFirstStep = false;
}else{
theTransfMat = theTransfMat * transf;
if( iverbose >= 1 ) G4cout << "G4EP: transf matrix accumulated" << theTransfMat << G4endl;
}
*/
theTransfMat = transf;
#ifdef G4EVERBOSE
if( iverbose >= 1 ) G4cout << "G4EP: error matrix before transformation " << fError << G4endl;
if( iverbose >= 2 ) G4cout << " tf * err " << theTransfMat * fError << G4endl
<< " transf matrix " << theTransfMat.T() << G4endl;
#endif
fError = fError.similarity(theTransfMat).T();
//- fError = transf * fError * transf.T();
#ifdef G4EVERBOSE
if( iverbose >= 1 ) G4cout << "G4EP: error matrix propagated " << fError << G4endl;
#endif
//? S = B*S*BT S.similarity(B)
//? R = S
// not needed * *** TRANSFORM ERROR MATRIX FROM INTERNAL TO EXTERNAL VARIABLES;
PropagateErrorMSC( aTrack );
PropagateErrorIoni( aTrack );
return 0;
}
//------------------------------------------------------------------------
G4int G4ErrorFreeTrajState::PropagateErrorMSC( const G4Track* aTrack )
{
G4ThreeVector vpPre = aTrack->GetMomentum()/GeV;
G4double pPre = vpPre.mag();
G4double pBeta = pPre*pPre / (aTrack->GetTotalEnergy()/GeV);
G4double stepLengthCm = aTrack->GetStep()->GetStepLength()/cm;
G4Material* mate = aTrack->GetVolume()->GetLogicalVolume()->GetMaterial();
G4double effZ, effA;
CalculateEffectiveZandA( mate, effZ, effA );
#ifdef G4EVERBOSE
if( iverbose >= 4 ) G4cout << "material " << mate->GetName()
//<< " " << mate->GetZ() << " " << mate->GetA()
<< " " << effZ << " " << effA
<< " " << mate->GetDensity()/g*mole << " " << mate->GetRadlen()/cm << " " << mate->GetNuclearInterLength()/cm << G4endl;
#endif
G4double RI = stepLengthCm / (mate->GetRadlen()/cm);
#ifdef G4EVERBOSE
if( iverbose >= 4 ) G4cout << std::setprecision(6) << std::setw(6) << "G4EP:MSC: RI " << RI << " stepLengthCm " << stepLengthCm << " radlen " << (mate->GetRadlen()/cm) << " " << RI*1.e10 << G4endl;
#endif
G4double charge = aTrack->GetDynamicParticle()->GetCharge();
G4double DD = 1.8496E-4*RI*(charge/pBeta * charge/pBeta );
#ifdef G4EVERBOSE
if( iverbose >= 3 ) G4cout << "G4EP:MSC: D*1E6= " << DD*1.E6 <<" pBeta " << pBeta << G4endl;
#endif
G4double S1 = DD*stepLengthCm*stepLengthCm/3.;
G4double S2 = DD;
G4double S3 = DD*stepLengthCm/2.;
G4double CLA = std::sqrt( vpPre.x() * vpPre.x() + vpPre.y() * vpPre.y() )/pPre;
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << std::setw(6) << "G4EP:MSC: RI " << RI << " S1 " << S1 << " S2 " << S2 << " S3 " << S3 << " CLA " << CLA << G4endl;
#endif
fError[1][1] += S2;
fError[1][4] -= S3;
fError[2][2] += S2/CLA/CLA;
fError[2][3] += S3/CLA;
fError[3][3] += S1;
fError[4][4] += S1;
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << "G4EP:MSC: error matrix propagated msc " << fError << G4endl;
#endif
return 0;
}
//------------------------------------------------------------------------
void G4ErrorFreeTrajState::CalculateEffectiveZandA( const G4Material* mate, G4double& effZ, G4double& effA )
{
effZ = 0.;
effA = 0.;
G4int ii, nelem = mate->GetNumberOfElements();
const G4double* fracVec = mate->GetFractionVector();
for(ii=0; ii < nelem; ii++ ) {
effZ += mate->GetElement( ii )->GetZ() * fracVec[ii];
effA += mate->GetElement( ii )->GetA() * fracVec[ii] /g*mole;
}
}
//------------------------------------------------------------------------
G4int G4ErrorFreeTrajState::PropagateErrorIoni( const G4Track* aTrack )
{
G4double stepLengthCm = aTrack->GetStep()->GetStepLength()/cm;
G4double DEDX2;
if( stepLengthCm < 1.E-7 ) {
DEDX2=0.;
}
// * Calculate xi factor (KeV).
G4Material* mate = aTrack->GetVolume()->GetLogicalVolume()->GetMaterial();
G4double effZ, effA;
CalculateEffectiveZandA( mate, effZ, effA );
G4double Etot = aTrack->GetTotalEnergy()/GeV;
G4double beta = aTrack->GetMomentum().mag()/GeV / Etot;
G4double mass = aTrack->GetDynamicParticle()->GetMass() / GeV;
G4double gamma = Etot / mass;
// * Calculate xi factor (KeV).
G4double XI = 153.5*effZ*stepLengthCm*(mate->GetDensity()/mg*mole) /
(effA*beta*beta);
#ifdef G4EVERBOSE
if( iverbose >= 2 ){
G4cout << "G4EP:IONI: XI " << XI << " beta " << beta << " gamma " << gamma << G4endl;
G4cout << " density " << (mate->GetDensity()/mg*mole) << " effA " << effA << " step " << stepLengthCm << G4endl;
}
#endif
// * Maximum energy transfer to atomic electron (KeV).
G4double eta = beta*gamma;
G4double etasq = eta*eta;
G4double eMass = 0.51099906/GeV;
G4double massRatio = eMass / mass;
G4double F1 = 2*eMass*etasq;
G4double F2 = 1. + 2. * massRatio * gamma + massRatio * massRatio;
G4double Emax = 1.E+6*F1/F2;
// * *** and now sigma**2 in GeV
G4double dedxSq = XI*Emax*(1.-(beta*beta/2.))*1.E-12;
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << "G4EP:IONI: DEDX2 " << dedxSq << " emass " << eMass << " Emax " << Emax << G4endl;
#endif
// if( iverbose >= 2 ) G4cout << "G4EP:IONI: Etot " << Etot << " DEDX2 " << dedxSq << " emass " << eMass << G4endl;
G4double pPre6 = (aTrack->GetStep()->GetPreStepPoint()->GetMomentum()/GeV).mag();
pPre6 = std::pow(pPre6, 6 );
//Apply it to error
fError[0][0] += Etot*Etot*dedxSq / pPre6;
#ifdef G4EVERBOSE
if( iverbose >= 2 ) G4cout << "G4:IONI getot " << Etot << " dedx2 " << dedxSq << " p " << pPre6 << G4endl;
if( iverbose >= 2 ) G4cout << "G4EP:IONI: error_from_ionisation " << (Etot*Etot*dedxSq) / pPre6 << G4endl;
#endif
return 0;
}