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;
}
eta = 1.e10;
if( b > 1.e-8 ){
Double_t c = a/b;
- if( c>1.e-8 ) eta = 0.5*TMath::Log(a/b);
+ if( c>1.e-8 ) eta = 0.5*TMath::Log(c);
}
Double_t h3 = -px*pz;
- Double_t h4 = -py*pz;
- Double_t p2pt2 = p2*pt2;
+ Double_t h4 = -py*pz;
+ Double_t pt4 = pt2*pt2;
+ Double_t p2pt4 = p2*pt4;
+ error = (h3*h3*fC[9] + h4*h4*fC[14] + pt4*fC[20] + 2*( h3*(h4*fC[13] + fC[18]*pt2) + pt2*h4*fC[19] ) );
- error = (h3*h3*fC[9] + h4*h4*fC[14] + pt2*fC[20] +
- 2*( h3*(h4*fC[13] + fC[18]) + h4*fC[19] )
- );
-
- if( error>0 && p2pt2>1.e-4 ){
- error = TMath::Sqrt(error/p2pt2);
+ if( error>0 && p2pt4>1.e-10 ){
+ error = TMath::Sqrt(error/p2pt4);
return 0;
}
+
error = 1.e10;
return 1;
}
return 1;
}
+Int_t AliKFParticleBase::GetDecayLengthXY( Double_t &l, Double_t &error ) const
+{
+ //* Calculate particle decay length in XY projection [cm]
+
+ Double_t x = fP[3];
+ Double_t y = fP[4];
+ Double_t t = fP[7];
+ Double_t x2 = x*x;
+ Double_t y2 = y*y;
+ Double_t pt2 = x2+y2;
+ l = t*TMath::Sqrt(pt2);
+ if( pt2>1.e-4){
+ error = pt2*fC[35] + t*t/pt2*(x2*fC[9]+y2*fC[14] + 2*x*y*fC[13] )
+ + 2*t*(x*fC[31]+y*fC[32]);
+ error = TMath::Sqrt(TMath::Abs(error));
+ return 0;
+ }
+ error = 1.e20;
+ return 1;
+}
+
+
Int_t AliKFParticleBase::GetLifeTime( Double_t &tauC, Double_t &error ) const
{
//* Calculate particle decay time [s]
Double_t d[3] = { XYZ[0]-Part[0], XYZ[1]-Part[1], XYZ[2]-Part[2] };
Double_t p2 = Part[3]*Part[3]+Part[4]*Part[4]+Part[5]*Part[5];
- Double_t sigmaS = (p2>1.e-4) ? ( .1+3.*TMath::Sqrt( d[0]*d[0]+d[1]*d[1]+d[2]*d[2]) )/TMath::Sqrt(p2) : 1.;
+ Double_t sigmaS = (p2>1.e-4) ? ( 10.1+3.*TMath::Sqrt( d[0]*d[0]+d[1]*d[1]+d[2]*d[2]) )/TMath::Sqrt(p2) : 1.;
return sigmaS;
}
}
}
-
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);
}
Double_t mAi[6];
- mAi[0] = fC[2]*fC[5] - fC[4]*fC[4];
- mAi[1] = fC[3]*fC[4] - fC[1]*fC[5];
- mAi[3] = fC[1]*fC[4] - fC[2]*fC[3];
- Double_t det = (fC[0]*mAi[0] + fC[1]*mAi[1] + fC[3]*mAi[3]);
- if( det>1.e-20 ) det = 1./det;
- else det = 0;
- mAi[0] *= det;
- mAi[1] *= det;
- mAi[3] *= det;
- mAi[2] = ( fC[0]*fC[5] - fC[3]*fC[3] )*det;
- mAi[4] = ( fC[1]*fC[3] - fC[0]*fC[4] )*det;
- mAi[5] = ( fC[0]*fC[2] - fC[1]*fC[1] )*det;
+ InvertSym3( fC, mAi );
Double_t mB[5][3];
Double_t z[3] = { m[0]-fP[0], m[1]-fP[1], m[2]-fP[2] };
{
- Double_t mAV[6] = { fC[0]-mV[0], fC[1]-mV[1], fC[2]-mV[2],
+ Double_t mAVi[6] = { fC[0]-mV[0], fC[1]-mV[1], fC[2]-mV[2],
fC[3]-mV[3], fC[4]-mV[4], fC[5]-mV[5] };
- Double_t mAVi[6];
- mAVi[0] = mAV[2]*mAV[5] - mAV[4]*mAV[4];
- mAVi[1] = mAV[3]*mAV[4] - mAV[1]*mAV[5];
- mAVi[2] = mAV[0]*mAV[5] - mAV[3]*mAV[3];
- mAVi[3] = mAV[1]*mAV[4] - mAV[2]*mAV[3];
- mAVi[4] = mAV[1]*mAV[3] - mAV[0]*mAV[4];
- mAVi[5] = mAV[0]*mAV[2] - mAV[1]*mAV[1];
-
- det = ( mAV[0]*mAVi[0] + mAV[1]*mAVi[1] + mAV[3]*mAVi[3] );
-
- if( TMath::Abs(det) > 1.E-20 ){
+ if( !InvertSym3( mAVi, mAVi ) ){
Double_t dChi2 = ( +(mAVi[0]*z[0] + mAVi[1]*z[1] + mAVi[3]*z[2])*z[0]
+(mAVi[1]*z[0] + mAVi[2]*z[1] + mAVi[4]*z[2])*z[1]
- +(mAVi[3]*z[0] + mAVi[4]*z[1] + mAVi[5]*z[2])*z[2] )/det ;
+ +(mAVi[3]*z[0] + mAVi[4]*z[1] + mAVi[5]*z[2])*z[2] );
// Take Abs(dChi2) here. Negative value of 'det' or 'dChi2' shows that the particle
// was not used in the production vertex fit
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;
}
cB= (1-c)/bq;
sB= s/bq;
}else{
- sB = (1. - bs*bs/6.)*ss[i];
+ const Double_t kOvSqr6 = 1./TMath::Sqrt(6.);
+ sB = (1.-bs*kOvSqr6)*(1.+bs*kOvSqr6)*ss[i];
cB = .5*sB*bs;
}
g[i][0] = fP[0] + sB*px + cB*py;
cB= (1-c)/bq;
sB= sss/bq;
}else{
- sB = (1. - bs*bs/6.)*ss[i];
+ const Double_t kOvSqr6 = 1./TMath::Sqrt(6.);
+ sB = (1.-bs*kOvSqr6)*(1.+bs*kOvSqr6)*ss[i];
cB = .5*sB*bs;
}
g[i][0] = fP[0] + sB*px + cB*py;
cB= (1-c)/bq1;
sB= sss/bq1;
}else{
- sB = (1. - bs*bs/6.)*ss1[i];
+ const Double_t kOvSqr6 = 1./TMath::Sqrt(6.);
+ sB = (1.-bs*kOvSqr6)*(1.+bs*kOvSqr6)*ss1[i];
cB = .5*sB*bs;
}
}
-void AliKFParticleBase::TransportBz( Double_t b, Double_t ss,
- Double_t p[], Double_t cc[] ) const
+void AliKFParticleBase::TransportBz( Double_t b, Double_t t,
+ Double_t p[], Double_t e[] ) const
{
//* Transport the particle on dS, output to P[],C[], for Bz field
const Double_t kCLight = 0.000299792458;
b = b*fQ*kCLight;
- Double_t bs= b*ss;
+ Double_t bs= b*t;
Double_t s = TMath::Sin(bs), c = TMath::Cos(bs);
Double_t sB, cB;
if( TMath::Abs(bs)>1.e-10){
sB= s/b;
cB= (1-c)/b;
}else{
- sB = (1. - bs*bs/6.)*ss;
+ const Double_t kOvSqr6 = 1./TMath::Sqrt(6.);
+ sB = (1.-bs*kOvSqr6)*(1.+bs*kOvSqr6)*t;
cB = .5*sB*bs;
}
p[0] = fP[0] + sB*px + cB*py;
p[1] = fP[1] - cB*px + sB*py;
- p[2] = fP[2] + ss*pz;
+ p[2] = fP[2] + t*pz;
p[3] = c*px + s*py;
p[4] = -s*px + c*py;
p[5] = fP[5];
p[6] = fP[6];
p[7] = fP[7];
-
+
+ /*
Double_t mJ[8][8] = { {1,0,0, sB, cB, 0, 0, 0 },
{0,1,0, -cB, sB, 0, 0, 0 },
- {0,0,1, 0, 0, ss, 0, 0 },
+ {0,0,1, 0, 0, t, 0, 0 },
{0,0,0, c, s, 0, 0, 0 },
{0,0,0, -s, c, 0, 0, 0 },
{0,0,0, 0, 0, 1, 0, 0 },
for( Int_t k=0,i=0; i<8; i++)
for( Int_t j=0; j<=i; j++, k++ ){
- cc[k] = 0;
- for( Int_t l=0; l<8; l++ ) cc[k]+=mJC[i][l]*mJ[j][l];
+ e[k] = 0;
+ for( Int_t l=0; l<8; l++ ) e[k]+=mJC[i][l]*mJ[j][l];
}
return;
- /*
- Double_t cBC13 = cB*fC[13];
- Double_t C17 = fC[17];
- Double_t C18 = fC[18];
- fC[ 0]+= 2*(sB*fC[ 6] + cB*fC[10]) + (sB*fC[ 9] + 2*cBC13)*sB + cB*cB*fC[14];
-
- Double_t mJC13= fC[ 7] - cB*fC[ 9] + sB*fC[13];
- Double_t mJC14= fC[11] - cBC13 + sB*fC[14];
-
- fC[ 1]+= -cB*fC[ 6] + sB*fC[10] +mJC13*sB +mJC14*cB;
- fC[ 2]+= -cB*fC[ 7] + sB*fC[11] -mJC13*cB +mJC14*sB;
-
- Double_t mJC23= fC[ 8] + S*fC[18];
- Double_t mJC24= fC[12] + S*fC[19];
- fC[ 3]+= S*fC[15] +mJC23*sB +mJC24*cB;
- fC[ 4]+= S*fC[16] -mJC23*cB +mJC24*sB;
-
- fC[15]+= C18*sB + fC[19]*cB;
- fC[16]+= -C18*cB + fC[19]*sB;
- fC[17]+= fC[20]*S;
- fC[18] = C18*c + fC[19]*s;
- fC[19] = -C18*s + fC[19]*c;
-
- fC[ 5]+= (C17 + C17 + fC[17])*S;
-
- Double_t mJC33= c*fC[ 9] + s*fC[13]; Double_t mJC34= c*fC[13] + s*fC[14];
- Double_t mJC43=-s*fC[ 9] + c*fC[13]; Double_t mJC44=-s*fC[13] + c*fC[14];
- Double_t C6= fC[6], C7= fC[7], C8= fC[8];
-
- fC[ 6]= c*C6 + s*fC[10] +mJC33*sB +mJC34*cB;
- fC[ 7]= c*C7 + s*fC[11] -mJC33*cB +mJC34*sB;
- fC[ 8]= c*C8 + s*fC[12] +fC[18]*S;
- fC[ 9]= mJC33*c +mJC34*s;
-
- fC[10]= -s*C6 + c*fC[10] +mJC43*sB +mJC44*cB;
- fC[11]= -s*C7 + c*fC[11] -mJC43*cB +mJC44*sB;
- fC[12]= -s*C8 + c*fC[12] +fC[19]*S;
- fC[13]= mJC43*c +mJC44*s;
- fC[14]=-mJC43*s +mJC44*c;
*/
+
+ Double_t
+ c6=fC[6], c7=fC[7], c8=fC[8], c17=fC[17], c18=fC[18],
+ c24 = fC[24], c31 = fC[31];
+
+ Double_t
+ cBC13 = cB*fC[13],
+ mJC13 = c7 - cB*fC[9] + sB*fC[13],
+ mJC14 = fC[11] - cBC13 + sB*fC[14],
+ mJC23 = c8 + t*c18,
+ mJC24 = fC[12] + t*fC[19],
+ mJC33 = c*fC[9] + s*fC[13],
+ mJC34 = c*fC[13] + s*fC[14],
+ mJC43 = -s*fC[9] + c*fC[13],
+ mJC44 = -s*fC[13] + c*fC[14];
+
+
+ e[0]= fC[0] + 2*(sB*c6 + cB*fC[10]) + (sB*fC[9] + 2*cBC13)*sB + cB*cB*fC[14];
+ e[1]= fC[1] - cB*c6 + sB*fC[10] + mJC13*sB + mJC14*cB;
+ e[2]= fC[2] - cB*c7 + sB*fC[11] - mJC13*cB + mJC14*sB;
+ e[3]= fC[3] + t*fC[15] + mJC23*sB + mJC24*cB;
+ e[4]= fC[4] + t*fC[16] - mJC23*cB + mJC24*sB;
+
+ e[15]= fC[15] + c18*sB + fC[19]*cB;
+ e[16]= fC[16] - c18*cB + fC[19]*sB;
+ e[17]= c17 + fC[20]*t;
+ e[18]= c18*c + fC[19]*s;
+ e[19]= -c18*s + fC[19]*c;
+
+ e[5]= fC[5] + (c17 + e[17] )*t;
+
+ e[6]= c*c6 + s*fC[10] + mJC33*sB + mJC34*cB;
+ e[7]= c*c7 + s*fC[11] - mJC33*cB + mJC34*sB;
+ e[8]= c*c8 + s*fC[12] + e[18]*t;
+ e[9]= mJC33*c + mJC34*s;
+ e[10]= -s*c6 + c*fC[10] + mJC43*sB + mJC44*cB;
+
+
+ e[11]= -s*c7 + c*fC[11] - mJC43*cB + mJC44*sB;
+ e[12]= -s*c8 + c*fC[12] + e[19]*t;
+ e[13]= mJC43*c + mJC44*s;
+ e[14]= -mJC43*s + mJC44*c;
+ e[20]= fC[20];
+ e[21]= fC[21] + fC[25]*cB + c24*sB;
+ e[22]= fC[22] - c24*cB + fC[25]*sB;
+ e[23]= fC[23] + fC[26]*t;
+ e[24]= c*c24 + s*fC[25];
+ e[25]= c*fC[25] - c24*s;
+ e[26]= fC[26];
+ e[27]= fC[27];
+ e[28]= fC[28] + fC[32]*cB + c31*sB;
+ e[29]= fC[29] - c31*cB + fC[32]*sB;
+ e[30]= fC[30] + fC[33]*t;
+ e[31]= c*c31 + s*fC[32];
+ e[32]= c*fC[32] - s*c31;
+ e[33]= fC[33];
+ e[34]= fC[34];
+ e[35]= fC[35];
}
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);
}
}
+void AliKFParticleBase::ConstructGammaBz( const AliKFParticleBase &daughter1,
+ const AliKFParticleBase &daughter2, double Bz )
+{
+ //* Create gamma
+
+ const AliKFParticleBase *daughters[2] = { &daughter1, &daughter2};
+
+ double v0[3];
+
+ if( !fIsLinearized ){
+ Double_t ds, ds1;
+ Double_t m[8];
+ Double_t mCd[36];
+ daughter1.GetDStoParticle(daughter2, ds, ds1);
+ daughter1.Transport( ds, m, mCd );
+ fP[0] = m[0];
+ fP[1] = m[1];
+ fP[2] = m[2];
+ daughter2.Transport( ds1, m, mCd );
+ fP[0] = .5*( fP[0] + m[0] );
+ fP[1] = .5*( fP[1] + m[1] );
+ fP[2] = .5*( fP[2] + m[2] );
+ } else {
+ fP[0] = fVtxGuess[0];
+ fP[1] = fVtxGuess[1];
+ fP[2] = fVtxGuess[2];
+ }
+
+ double daughterP[2][8], daughterC[2][36];
+ double vtxMom[2][3];
+
+ int nIter = fIsLinearized ?1 :2;
+
+ for( int iter=0; iter<nIter; iter++){
+
+ v0[0] = fP[0];
+ v0[1] = fP[1];
+ v0[2] = fP[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
+
+ {
+ 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
+
+
+ // 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);
+
+ 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;
+
+ 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
+
+ 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
+
+ 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) ];
+ }
+ }
+ 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];
+ }
+ }
+
+
+ //* 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, 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] };
+
+
+ InvertSym3(mS,mS);
+
+ //* Residual (measured - estimated)
+
+ Double_t zeta[3] = { m[0]-mHr[0], m[1]-mHr[1], m[2]-mHr[2] };
+
+ //* Kalman gain K = mCH'*S
+
+ 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];
+ }
+
+ //* 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];
+
+ //* 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];
+ }
+ }
+
+
+ //* 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] );
+ }
+
+ // 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];
+ }
+ }
+ }
+
+ } // iterations
+
+ // now fit daughters to the vertex
+
+ fQ = 0;
+ fSFromDecay = 0;
+
+ for(Int_t i=3;i<8;++i) fP[i]=0.;
+ for(Int_t i=6;i<35;++i) fC[i]=0.;
+ fC[35] = 100.;
+
+ for( int id=0; id<2; id++ ){
+
+ double *p = daughterP[id];
+ double *mC = daughterC[id];
+ daughters[id]->GetMeasurement( v0, p, mC );
+
+ const Double_t *m = fP, *mV = fC;
+
+ Double_t mAi[6];
+ InvertSym3(mC, mAi );
+
+ Double_t mB[4][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];
+
+ mB[3][0] = mC[21]*mAi[0] + mC[22]*mAi[1] + mC[23]*mAi[3];
+ mB[3][1] = mC[21]*mAi[1] + mC[22]*mAi[2] + mC[23]*mAi[4];
+ mB[3][2] = mC[21]*mAi[3] + mC[22]*mAi[4] + mC[23]*mAi[5];
+
+
+ Double_t z[3] = { m[0]-p[0], m[1]-p[1], m[2]-p[2] };
+
+ {
+ Double_t mAV[6] = { mC[0]-mV[0], mC[1]-mV[1], mC[2]-mV[2],
+ mC[3]-mV[3], mC[4]-mV[4], mC[5]-mV[5] };
+
+ Double_t mAVi[6];
+ if( !InvertSym3(mAV, mAVi) ){
+ Double_t dChi2 = ( +(mAVi[0]*z[0] + mAVi[1]*z[1] + mAVi[3]*z[2])*z[0]
+ +(mAVi[1]*z[0] + mAVi[2]*z[1] + mAVi[4]*z[2])*z[1]
+ +(mAVi[3]*z[0] + mAVi[4]*z[1] + mAVi[5]*z[2])*z[2] );
+ fChi2+= TMath::Abs( dChi2 );
+ }
+ fNDF += 2;
+ }
+
+ //* Add the daughter momentum to the particle momentum
+
+ fP[3]+= p[3] + mB[0][0]*z[0] + mB[0][1]*z[1] + mB[0][2]*z[2];
+ fP[4]+= p[4] + mB[1][0]*z[0] + mB[1][1]*z[1] + mB[1][2]*z[2];
+ fP[5]+= p[5] + mB[2][0]*z[0] + mB[2][1]*z[1] + mB[2][2]*z[2];
+ fP[6]+= p[6] + mB[3][0]*z[0] + mB[3][1]*z[1] + mB[3][2]*z[2];
+
+ Double_t d0, d1, d2;
+
+ d0= mB[0][0]*mV[0] + mB[0][1]*mV[1] + mB[0][2]*mV[3] - mC[ 6];
+ d1= mB[0][0]*mV[1] + mB[0][1]*mV[2] + mB[0][2]*mV[4] - mC[ 7];
+ d2= mB[0][0]*mV[3] + mB[0][1]*mV[4] + mB[0][2]*mV[5] - mC[ 8];
+
+ //fC[6]+= mC[ 6] + d0;
+ //fC[7]+= mC[ 7] + d1;
+ //fC[8]+= mC[ 8] + d2;
+ fC[9]+= mC[ 9] + d0*mB[0][0] + d1*mB[0][1] + d2*mB[0][2];
+
+ d0= mB[1][0]*mV[0] + mB[1][1]*mV[1] + mB[1][2]*mV[3] - mC[10];
+ d1= mB[1][0]*mV[1] + mB[1][1]*mV[2] + mB[1][2]*mV[4] - mC[11];
+ d2= mB[1][0]*mV[3] + mB[1][1]*mV[4] + mB[1][2]*mV[5] - mC[12];
+
+ //fC[10]+= mC[10]+ d0;
+ //fC[11]+= mC[11]+ d1;
+ //fC[12]+= mC[12]+ d2;
+ fC[13]+= mC[13]+ d0*mB[0][0] + d1*mB[0][1] + d2*mB[0][2];
+ fC[14]+= mC[14]+ d0*mB[1][0] + d1*mB[1][1] + d2*mB[1][2];
+
+ d0= mB[2][0]*mV[0] + mB[2][1]*mV[1] + mB[2][2]*mV[3] - mC[15];
+ d1= mB[2][0]*mV[1] + mB[2][1]*mV[2] + mB[2][2]*mV[4] - mC[16];
+ d2= mB[2][0]*mV[3] + mB[2][1]*mV[4] + mB[2][2]*mV[5] - mC[17];
+
+ //fC[15]+= mC[15]+ d0;
+ //fC[16]+= mC[16]+ d1;
+ //fC[17]+= mC[17]+ d2;
+ fC[18]+= mC[18]+ d0*mB[0][0] + d1*mB[0][1] + d2*mB[0][2];
+ fC[19]+= mC[19]+ d0*mB[1][0] + d1*mB[1][1] + d2*mB[1][2];
+ fC[20]+= mC[20]+ d0*mB[2][0] + d1*mB[2][1] + d2*mB[2][2];
+
+ d0= mB[3][0]*mV[0] + mB[3][1]*mV[1] + mB[3][2]*mV[3] - mC[21];
+ d1= mB[3][0]*mV[1] + mB[3][1]*mV[2] + mB[3][2]*mV[4] - mC[22];
+ d2= mB[3][0]*mV[3] + mB[3][1]*mV[4] + mB[3][2]*mV[5] - mC[23];
+
+ //fC[21]+= mC[21] + d0;
+ //fC[22]+= mC[22] + d1;
+ //fC[23]+= mC[23] + d2;
+ fC[24]+= mC[24] + d0*mB[0][0] + d1*mB[0][1] + d2*mB[0][2];
+ fC[25]+= mC[25] + d0*mB[1][0] + d1*mB[1][1] + d2*mB[1][2];
+ fC[26]+= mC[26] + d0*mB[2][0] + d1*mB[2][1] + d2*mB[2][2];
+ fC[27]+= mC[27] + d0*mB[3][0] + d1*mB[3][1] + d2*mB[3][2];
+ }
+
+ SetMassConstraint(0,0);
+}
+
+Bool_t AliKFParticleBase::InvertSym3( const Double_t A[], Double_t Ai[] )
+{
+ //* Invert symmetric matric stored in low-triagonal form
+
+ bool ret = 0;
+ double a0 = A[0], a1 = A[1], a2 = A[2], a3 = A[3];
+
+ Ai[0] = a2*A[5] - A[4]*A[4];
+ Ai[1] = a3*A[4] - a1*A[5];
+ Ai[3] = a1*A[4] - a2*a3;
+ Double_t det = (a0*Ai[0] + a1*Ai[1] + a3*Ai[3]);
+ if( det>1.e-20 ) det = 1./det;
+ else{
+ det = 0;
+ ret = 1;
+ }
+ Ai[0] *= det;
+ Ai[1] *= det;
+ Ai[3] *= det;
+ Ai[2] = ( a0*A[5] - a3*a3 )*det;
+ Ai[4] = ( a1*a3 - a0*A[4] )*det;
+ Ai[5] = ( a0*a2 - a1*a1 )*det;
+ return ret;
+}
+
void AliKFParticleBase::MultQSQt( const Double_t Q[], const Double_t S[], Double_t SOut[] )
{
//* Matrix multiplication Q*S*Q^T, Q - square matrix, S - symmetric
// 72-charachters line to define the printer border
//3456789012345678901234567890123456789012345678901234567890123456789012
+
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff