fIsLinearized = 1;
}
-
Int_t AliKFParticleBase::GetMomentum( Double_t &p, Double_t &error ) const
{
//* Calculate particle momentum
Double_t x = fP[3];
Double_t y = fP[4];
Double_t z = fP[5];
+
Double_t x2 = x*x;
Double_t y2 = y*y;
Double_t z2 = z*z;
Double_t p2 = x2+y2+z2;
p = TMath::Sqrt(p2);
+
error = (x2*fC[9]+y2*fC[14]+z2*fC[20] + 2*(x*y*fC[13]+x*z*fC[18]+y*z*fC[19]) );
- if( error>0 && p>1.e-4 ){
+ if( error>1.e-16 && p>1.e-4 ){
error = TMath::Sqrt(error)/p;
return 0;
}
+ error = 1.e8;
return 1;
}
}
}
-
void AliKFParticleBase::SetProductionVertex( const AliKFParticleBase &Vtx )
{
//* Set production vertex for the particle, when the particle was not used in the vertex fit
if( noS ){
TransportToDecayVertex();
fP[7] = 0;
- fC[28] = fC[29] = fC[30] = fC[31] = fC[32] = fC[33] = fC[35] = fC[35] = 0;
+ fC[28] = fC[29] = fC[30] = fC[31] = fC[32] = fC[33] = fC[34] = fC[35] = 0;
} else {
- TransportToDS( GetDStoPoint( m ) );
+ TransportToDS( GetDStoPoint( m ) );
fP[7] = -fSFromDecay;
+ fC[28] = fC[29] = fC[30] = fC[31] = fC[32] = fC[33] = fC[34] = 0;
+ fC[35] = 1000.;
+
Convert(1);
}
if( noS ){
fP[7] = 0;
- fC[28] = fC[29] = fC[30] = fC[31] = fC[32] = fC[33] = fC[35] = fC[35] = 0;
+ fC[28] = fC[29] = fC[30] = fC[31] = fC[32] = fC[33] = fC[34] = fC[35] = 0;
} else {
TransportToDS( fP[7] );
Convert(0);
}
}
fP[7] = 0;
- fC[28] = fC[29] = fC[30] = fC[31] = fC[32] = fC[33] = fC[35] = fC[35] = 0;
+ fC[28] = fC[29] = fC[30] = fC[31] = fC[32] = fC[33] = fC[34] = fC[35] = 0;
}
Double_t dx = mP[0]-mP1[0];
Double_t dy = mP[1]-mP1[1];
Double_t dz = mP[2]-mP1[2];
+ dz = 0;
return TMath::Sqrt(dx*dx+dy*dy+dz*dz);
}
Double_t mCd[36];
daughter1.GetDStoParticle(daughter2, ds, ds1);
daughter1.Transport( ds, m, mCd );
- v0[0] = m[0];
- v0[1] = m[1];
- v0[2] = m[2];
+ fP[0] = m[0];
+ fP[1] = m[1];
+ fP[2] = m[2];
daughter2.Transport( ds1, m, mCd );
- v0[0] = .5*( v0[0] + m[0] );
- v0[1] = .5*( v0[1] + m[1] );
- v0[2] = .5*( v0[2] + m[2] );
+ fP[0] = .5*( fP[0] + m[0] );
+ fP[1] = .5*( fP[1] + m[1] );
+ fP[2] = .5*( fP[2] + m[2] );
} else {
- v0[0] = fVtxGuess[0];
- v0[1] = fVtxGuess[1];
- v0[2] = fVtxGuess[2];
+ fP[0] = fVtxGuess[0];
+ fP[1] = fVtxGuess[1];
+ fP[2] = fVtxGuess[2];
}
- fAtProductionVertex = 0;
- fSFromDecay = 0;
- fP[0] = v0[0];
- fP[1] = v0[1];
- fP[2] = v0[2];
- fP[3] = 0;
- fP[4] = 0;
- fP[5] = 0;
- fP[6] = 0;
- fP[7] = 0;
-
-
- // fit daughters to the vertex guess
-
double daughterP[2][8], daughterC[2][36];
double vtxMom[2][3];
- {
- for( int id=0; id<2; id++ ){
-
- double *p = daughterP[id];
- double *mC = daughterC[id];
-
- daughters[id]->GetMeasurement( v0, p, mC );
-
- Double_t mAi[6];
- InvertSym3(mC, mAi );
-
- Double_t mB[3][3];
-
- mB[0][0] = mC[ 6]*mAi[0] + mC[ 7]*mAi[1] + mC[ 8]*mAi[3];
- mB[0][1] = mC[ 6]*mAi[1] + mC[ 7]*mAi[2] + mC[ 8]*mAi[4];
- mB[0][2] = mC[ 6]*mAi[3] + mC[ 7]*mAi[4] + mC[ 8]*mAi[5];
-
- mB[1][0] = mC[10]*mAi[0] + mC[11]*mAi[1] + mC[12]*mAi[3];
- mB[1][1] = mC[10]*mAi[1] + mC[11]*mAi[2] + mC[12]*mAi[4];
- mB[1][2] = mC[10]*mAi[3] + mC[11]*mAi[4] + mC[12]*mAi[5];
-
- mB[2][0] = mC[15]*mAi[0] + mC[16]*mAi[1] + mC[17]*mAi[3];
- mB[2][1] = mC[15]*mAi[1] + mC[16]*mAi[2] + mC[17]*mAi[4];
- mB[2][2] = mC[15]*mAi[3] + mC[16]*mAi[4] + mC[17]*mAi[5];
-
- Double_t z[3] = { v0[0]-p[0], v0[1]-p[1], v0[2]-p[2] };
-
- vtxMom[id][0] = p[3] + mB[0][0]*z[0] + mB[0][1]*z[1] + mB[0][2]*z[2];
- vtxMom[id][1] = p[4] + mB[1][0]*z[0] + mB[1][1]*z[1] + mB[1][2]*z[2];
- vtxMom[id][2] = p[5] + mB[2][0]*z[0] + mB[2][1]*z[1] + mB[2][2]*z[2];
-
- daughters[id]->Transport( daughters[id]->GetDStoPoint(v0), p, mC );
-
- }
-
- } // fit daughters to guess
+ int nIter = fIsLinearized ?1 :2;
+ for( int iter=0; iter<nIter; iter++){
- // fit new vertex
- {
-
- double mpx0 = vtxMom[0][0]+vtxMom[1][0];
- double mpy0 = vtxMom[0][1]+vtxMom[1][1];
- double mpt0 = TMath::Sqrt(mpx0*mpx0 + mpy0*mpy0);
- // double a0 = TMath::ATan2(mpy0,mpx0);
+ v0[0] = fP[0];
+ v0[1] = fP[1];
+ v0[2] = fP[2];
- double ca0 = mpx0/mpt0;
- double sa0 = mpy0/mpt0;
- double r[3] = { v0[0], v0[1], v0[2] };
- double mC[3][3] = {{10000., 0 , 0 },
- {0, 10000., 0 },
- {0, 0, 10000. } };
- double chi2=0;
+ fAtProductionVertex = 0;
+ fSFromDecay = 0;
+ fP[0] = v0[0];
+ fP[1] = v0[1];
+ fP[2] = v0[2];
+ fP[3] = 0;
+ fP[4] = 0;
+ fP[5] = 0;
+ fP[6] = 0;
+ fP[7] = 0;
+
+
+ // fit daughters to the vertex guess
- for( int id=0; id<2; id++ ){
- const Double_t kCLight = 0.000299792458;
- Double_t q = Bz*daughters[id]->GetQ()*kCLight;
- Double_t px0 = vtxMom[id][0];
- Double_t py0 = vtxMom[id][1];
- Double_t pz0 = vtxMom[id][2];
- Double_t pt0 = TMath::Sqrt(px0*px0+py0*py0);
- Double_t mG[3][6], mB[3], mH[3][3];
- // r = {vx,vy,vz};
- // m = {x,y,z,Px,Py,Pz};
- // V = daughter.C
- // G*m + B = H*r;
- // q*x + Py - q*vx - sin(a)*Pt = 0
- // q*y - Px - q*vy + cos(a)*Pt = 0
- // (Px*cos(a) + Py*sin(a) ) (vz -z) - Pz( cos(a)*(vx-x) + sin(a)*(vy-y)) = 0
-
- mG[0][0] = q;
- mG[0][1] = 0;
- mG[0][2] = 0;
- mG[0][3] = -sa0*px0/pt0;
- mG[0][4] = 1 -sa0*py0/pt0;
- mG[0][5] = 0;
- mH[0][0] = q;
- mH[0][1] = 0;
- mH[0][2] = 0;
- mB[0] = py0 - sa0*pt0 - mG[0][3]*px0 - mG[0][4]*py0 ;
-
- // q*y - Px - q*vy + cos(a)*Pt = 0
+ {
+ for( int id=0; id<2; id++ ){
+
+ double *p = daughterP[id];
+ double *mC = daughterC[id];
+
+ daughters[id]->GetMeasurement( v0, p, mC );
+
+ Double_t mAi[6];
+ InvertSym3(mC, mAi );
+
+ Double_t mB[3][3];
+
+ mB[0][0] = mC[ 6]*mAi[0] + mC[ 7]*mAi[1] + mC[ 8]*mAi[3];
+ mB[0][1] = mC[ 6]*mAi[1] + mC[ 7]*mAi[2] + mC[ 8]*mAi[4];
+ mB[0][2] = mC[ 6]*mAi[3] + mC[ 7]*mAi[4] + mC[ 8]*mAi[5];
+
+ mB[1][0] = mC[10]*mAi[0] + mC[11]*mAi[1] + mC[12]*mAi[3];
+ mB[1][1] = mC[10]*mAi[1] + mC[11]*mAi[2] + mC[12]*mAi[4];
+ mB[1][2] = mC[10]*mAi[3] + mC[11]*mAi[4] + mC[12]*mAi[5];
+
+ mB[2][0] = mC[15]*mAi[0] + mC[16]*mAi[1] + mC[17]*mAi[3];
+ mB[2][1] = mC[15]*mAi[1] + mC[16]*mAi[2] + mC[17]*mAi[4];
+ mB[2][2] = mC[15]*mAi[3] + mC[16]*mAi[4] + mC[17]*mAi[5];
+
+ Double_t z[3] = { v0[0]-p[0], v0[1]-p[1], v0[2]-p[2] };
+
+ vtxMom[id][0] = p[3] + mB[0][0]*z[0] + mB[0][1]*z[1] + mB[0][2]*z[2];
+ vtxMom[id][1] = p[4] + mB[1][0]*z[0] + mB[1][1]*z[1] + mB[1][2]*z[2];
+ vtxMom[id][2] = p[5] + mB[2][0]*z[0] + mB[2][1]*z[1] + mB[2][2]*z[2];
+
+ daughters[id]->Transport( daughters[id]->GetDStoPoint(v0), p, mC );
- mG[1][0] = 0;
- mG[1][1] = q;
- mG[1][2] = 0;
- mG[1][3] = -1 + ca0*px0/pt0;
- mG[1][4] = + ca0*py0/pt0;
- mG[1][5] = 0;
- mH[1][0] = 0;
- mH[1][1] = q;
- mH[1][2] = 0;
- mB[1] = -px0 + ca0*pt0 - mG[1][3]*px0 - mG[1][4]*py0 ;
+ }
- // (Px*cos(a) + Py*sin(a) ) (z -vz) - Pz( cos(a)*(x-vx) + sin(a)*(y-vy)) = 0
+ } // fit daughters to guess
+
+
+ // fit new vertex
+ {
- mG[2][0] = -pz0*ca0;
- mG[2][1] = -pz0*sa0;
- mG[2][2] = px0*ca0 + py0*sa0;
- mG[2][3] = 0;
- mG[2][4] = 0;
- mG[2][5] = 0;
+ double mpx0 = vtxMom[0][0]+vtxMom[1][0];
+ double mpy0 = vtxMom[0][1]+vtxMom[1][1];
+ double mpt0 = TMath::Sqrt(mpx0*mpx0 + mpy0*mpy0);
+ // double a0 = TMath::ATan2(mpy0,mpx0);
- mH[2][0] = mG[2][0];
- mH[2][1] = mG[2][1];
- mH[2][2] = mG[2][2];
+ double ca0 = mpx0/mpt0;
+ double sa0 = mpy0/mpt0;
+ double r[3] = { v0[0], v0[1], v0[2] };
+ double mC[3][3] = {{10000., 0 , 0 },
+ {0, 10000., 0 },
+ {0, 0, 10000. } };
+ double chi2=0;
- mB[2] = 0;
+ for( int id=0; id<2; id++ ){
+ const Double_t kCLight = 0.000299792458;
+ Double_t q = Bz*daughters[id]->GetQ()*kCLight;
+ Double_t px0 = vtxMom[id][0];
+ Double_t py0 = vtxMom[id][1];
+ Double_t pz0 = vtxMom[id][2];
+ Double_t pt0 = TMath::Sqrt(px0*px0+py0*py0);
+ Double_t mG[3][6], mB[3], mH[3][3];
+ // r = {vx,vy,vz};
+ // m = {x,y,z,Px,Py,Pz};
+ // V = daughter.C
+ // G*m + B = H*r;
+ // q*x + Py - q*vx - sin(a)*Pt = 0
+ // q*y - Px - q*vy + cos(a)*Pt = 0
+ // (Px*cos(a) + Py*sin(a) ) (vz -z) - Pz( cos(a)*(vx-x) + sin(a)*(vy-y)) = 0
+
+ mG[0][0] = q;
+ mG[0][1] = 0;
+ mG[0][2] = 0;
+ mG[0][3] = -sa0*px0/pt0;
+ mG[0][4] = 1 -sa0*py0/pt0;
+ mG[0][5] = 0;
+ mH[0][0] = q;
+ mH[0][1] = 0;
+ mH[0][2] = 0;
+ mB[0] = py0 - sa0*pt0 - mG[0][3]*px0 - mG[0][4]*py0 ;
+
+ // q*y - Px - q*vy + cos(a)*Pt = 0
+
+ mG[1][0] = 0;
+ mG[1][1] = q;
+ mG[1][2] = 0;
+ mG[1][3] = -1 + ca0*px0/pt0;
+ mG[1][4] = + ca0*py0/pt0;
+ mG[1][5] = 0;
+ mH[1][0] = 0;
+ mH[1][1] = q;
+ mH[1][2] = 0;
+ mB[1] = -px0 + ca0*pt0 - mG[1][3]*px0 - mG[1][4]*py0 ;
+
+ // (Px*cos(a) + Py*sin(a) ) (z -vz) - Pz( cos(a)*(x-vx) + sin(a)*(y-vy)) = 0
- // fit the vertex
+ mG[2][0] = -pz0*ca0;
+ mG[2][1] = -pz0*sa0;
+ mG[2][2] = px0*ca0 + py0*sa0;
+ mG[2][3] = 0;
+ mG[2][4] = 0;
+ mG[2][5] = 0;
+
+ mH[2][0] = mG[2][0];
+ mH[2][1] = mG[2][1];
+ mH[2][2] = mG[2][2];
+
+ mB[2] = 0;
+
+ // fit the vertex
- // V = GVGt
+ // V = GVGt
- double mGV[3][6];
- double mV[6];
- double m[3];
- for( int i=0; i<3; i++ ){
- m[i] = mB[i];
- for( int k=0; k<6; k++ ) m[i]+=mG[i][k]*daughterP[id][k];
- }
- for( int i=0; i<3; i++ ){
- for( int j=0; j<6; j++ ){
- mGV[i][j] = 0;
- for( int k=0; k<6; k++ ) mGV[i][j]+=mG[i][k]*daughterC[id][ IJ(k,j) ];
+ double mGV[3][6];
+ double mV[6];
+ double m[3];
+ for( int i=0; i<3; i++ ){
+ m[i] = mB[i];
+ for( int k=0; k<6; k++ ) m[i]+=mG[i][k]*daughterP[id][k];
}
- }
- for( int i=0, k=0; i<3; i++ ){
- for( int j=0; j<=i; j++,k++ ){
- mV[k] = 0;
- for( int l=0; l<6; l++ ) mV[k]+=mGV[i][l]*mG[j][l];
+ for( int i=0; i<3; i++ ){
+ for( int j=0; j<6; j++ ){
+ mGV[i][j] = 0;
+ for( int k=0; k<6; k++ ) mGV[i][j]+=mG[i][k]*daughterC[id][ IJ(k,j) ];
+ }
}
- }
-
-
- //* CHt
+ for( int i=0, k=0; i<3; i++ ){
+ for( int j=0; j<=i; j++,k++ ){
+ mV[k] = 0;
+ for( int l=0; l<6; l++ ) mV[k]+=mGV[i][l]*mG[j][l];
+ }
+ }
+
- Double_t mCHt[3][3];
- Double_t mHCHt[6];
- Double_t mHr[3];
- for( int i=0; i<3; i++ ){
- mHr[i] = 0;
- for( int k=0; k<3; k++ ) mHr[i]+= mH[i][k]*r[k];
- }
+ //* CHt
+
+ Double_t mCHt[3][3];
+ Double_t mHCHt[6];
+ Double_t mHr[3];
+ for( int i=0; i<3; i++ ){
+ mHr[i] = 0;
+ for( int k=0; k<3; k++ ) mHr[i]+= mH[i][k]*r[k];
+ }
- for( int i=0; i<3; i++ ){
- for( int j=0; j<3; j++){
- mCHt[i][j] = 0;
- for( int k=0; k<3; k++ ) mCHt[i][j]+= mC[i][k]*mH[j][k];
+ for( int i=0; i<3; i++ ){
+ for( int j=0; j<3; j++){
+ mCHt[i][j] = 0;
+ for( int k=0; k<3; k++ ) mCHt[i][j]+= mC[i][k]*mH[j][k];
+ }
}
- }
- for( int i=0, k=0; i<3; i++ ){
- for( int j=0; j<=i; j++, k++ ){
- mHCHt[k] = 0;
- for( int l=0; l<3; l++ ) mHCHt[k]+= mH[i][l]*mCHt[l][j];
+ for( int i=0, k=0; i<3; i++ ){
+ for( int j=0; j<=i; j++, k++ ){
+ mHCHt[k] = 0;
+ for( int l=0; l<3; l++ ) mHCHt[k]+= mH[i][l]*mCHt[l][j];
+ }
}
- }
- Double_t mS[6] = { mHCHt[0]+mV[0],
- mHCHt[1]+mV[1], mHCHt[2]+mV[2],
- mHCHt[3]+mV[3], mHCHt[4]+mV[4], mHCHt[5]+mV[5] };
+ Double_t mS[6] = { mHCHt[0]+mV[0],
+ mHCHt[1]+mV[1], mHCHt[2]+mV[2],
+ mHCHt[3]+mV[3], mHCHt[4]+mV[4], mHCHt[5]+mV[5] };
- InvertSym3(mS,mS);
+ InvertSym3(mS,mS);
- //* Residual (measured - estimated)
+ //* Residual (measured - estimated)
- Double_t zeta[3] = { m[0]-mHr[0], m[1]-mHr[1], m[2]-mHr[2] };
+ Double_t zeta[3] = { m[0]-mHr[0], m[1]-mHr[1], m[2]-mHr[2] };
- //* Kalman gain K = mCH'*S
+ //* Kalman gain K = mCH'*S
- Double_t k[3][3];
+ Double_t k[3][3];
- for(Int_t i=0;i<3;++i){
- k[i][0] = mCHt[i][0]*mS[0] + mCHt[i][1]*mS[1] + mCHt[i][2]*mS[3];
- k[i][1] = mCHt[i][0]*mS[1] + mCHt[i][1]*mS[2] + mCHt[i][2]*mS[4];
- k[i][2] = mCHt[i][0]*mS[3] + mCHt[i][1]*mS[4] + mCHt[i][2]*mS[5];
- }
+ for(Int_t i=0;i<3;++i){
+ k[i][0] = mCHt[i][0]*mS[0] + mCHt[i][1]*mS[1] + mCHt[i][2]*mS[3];
+ k[i][1] = mCHt[i][0]*mS[1] + mCHt[i][1]*mS[2] + mCHt[i][2]*mS[4];
+ k[i][2] = mCHt[i][0]*mS[3] + mCHt[i][1]*mS[4] + mCHt[i][2]*mS[5];
+ }
- //* New estimation of the vertex position r += K*zeta
+ //* New estimation of the vertex position r += K*zeta
- for(Int_t i=0;i<3;++i)
- r[i] = r[i] + k[i][0]*zeta[0] + k[i][1]*zeta[1] + k[i][2]*zeta[2];
+ for(Int_t i=0;i<3;++i)
+ r[i] = r[i] + k[i][0]*zeta[0] + k[i][1]*zeta[1] + k[i][2]*zeta[2];
- //* New covariance matrix C -= K*(mCH')'
+ //* New covariance matrix C -= K*(mCH')'
- for(Int_t i=0;i<3;++i){
- for(Int_t j=0;j<=i;++j){
- mC[i][j] = mC[i][j] - (k[i][0]*mCHt[j][0] + k[i][1]*mCHt[j][1] + k[i][2]*mCHt[j][2]);
- mC[j][i] = mC[i][j];
+ for(Int_t i=0;i<3;++i){
+ for(Int_t j=0;j<=i;++j){
+ mC[i][j] = mC[i][j] - (k[i][0]*mCHt[j][0] + k[i][1]*mCHt[j][1] + k[i][2]*mCHt[j][2]);
+ mC[j][i] = mC[i][j];
+ }
}
- }
- //* Calculate Chi^2
+ //* Calculate Chi^2
- chi2 += ( ( mS[0]*zeta[0] + mS[1]*zeta[1] + mS[3]*zeta[2] )*zeta[0]
- +(mS[1]*zeta[0] + mS[2]*zeta[1] + mS[4]*zeta[2] )*zeta[1]
- +(mS[3]*zeta[0] + mS[4]*zeta[1] + mS[5]*zeta[2] )*zeta[2] );
- }
+ chi2 += ( ( mS[0]*zeta[0] + mS[1]*zeta[1] + mS[3]*zeta[2] )*zeta[0]
+ +(mS[1]*zeta[0] + mS[2]*zeta[1] + mS[4]*zeta[2] )*zeta[1]
+ +(mS[3]*zeta[0] + mS[4]*zeta[1] + mS[5]*zeta[2] )*zeta[2] );
+ }
- // store vertex
+ // store vertex
- fNDF = 2;
- fChi2 = chi2;
- for( int i=0; i<3; i++ ) fP[i] = r[i];
- for( int i=0,k=0; i<3; i++ ){
- for( int j=0; j<=i; j++,k++ ){
- fC[k] = mC[i][j];
+ fNDF = 2;
+ fChi2 = chi2;
+ for( int i=0; i<3; i++ ) fP[i] = r[i];
+ for( int i=0,k=0; i<3; i++ ){
+ for( int j=0; j<=i; j++,k++ ){
+ fC[k] = mC[i][j];
+ }
}
}
- }
+
+ } // iterations
// now fit daughters to the vertex
fSFromDecay = 0;
for(Int_t i=3;i<8;++i) fP[i]=0.;
- for(Int_t i=6;i<36;++i) fC[i]=0.;
-
+ for(Int_t i=6;i<35;++i) fC[i]=0.;
+ fC[35] = 100.;
for( int id=0; id<2; id++ ){
fC[27]+= mC[27] + d0*mB[3][0] + d1*mB[3][1] + d2*mB[3][2];
}
- SetMassConstraint(0,0);
-
+ SetMassConstraint(0,0);
}
Bool_t AliKFParticleBase::InvertSym3( const Double_t A[], Double_t Ai[] )