#include <TMatrixD.h>
#include <TMath.h>
-#include <iostream.h>
+#include <Riostream.h>
#include "AliCluster.h"
#include "AliTPCtrack.h"
ClassImp(AliITStrackV2)
const Int_t kWARN=5;
-
+Double_t AliITStrackV2::fSigmaYV = 0.005;
+Double_t AliITStrackV2::fSigmaZV = 0.01;
//____________________________________________________________________________
-AliITStrackV2::AliITStrackV2(const AliTPCtrack& t) throw (const Char_t *) {
+AliITStrackV2::AliITStrackV2():AliKalmanTrack(),
+ fX(0),
+ fAlpha(0),
+ fdEdx(0),
+ fP0(0),
+ fP1(0),
+ fP2(0),
+ fP3(0),
+ fP4(0),
+ fC00(0),
+ fC10(0),
+ fC11(0),
+ fC20(0),
+ fC21(0),
+ fC22(0),
+ fC30(0),
+ fC31(0),
+ fC32(0),
+ fC33(0),
+ fC40(0),
+ fC41(0),
+ fC42(0),
+ fC43(0),
+ fC44(0)
+ {
+ for(Int_t i=0; i<kMaxLayer; i++) fIndex[i]=0;
+ for(Int_t i=0; i<4; i++) fdEdxSample[i]=0;
+}
+//____________________________________________________________________________
+AliITStrackV2::AliITStrackV2(const AliTPCtrack& t) throw (const Char_t *) :
+AliKalmanTrack(t) {
//------------------------------------------------------------------
//Conversion TPC track -> ITS track
//------------------------------------------------------------------
- SetLabel(t.GetLabel());
SetChi2(0.);
SetNumberOfClusters(0);
- //SetConvConst(t.GetConvConst());
fdEdx = t.GetdEdx();
SetMass(t.GetMass());
return 1e10;
}
Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
-
+
Double_t dy=c->GetY() - fP0, dz=c->GetZ() - fP1;
-
+
return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
}
v33 = theta2*(1.+ GetTgl()*GetTgl())*(1. + GetTgl()*GetTgl());
}
Double_t sy2=c->GetSigmaY2(), sz2=c->GetSigmaZ2();
- v22+=kSigmaYV*kSigmaYV/dr/dr;
+ v22+=fSigmaYV*fSigmaYV/dr/dr;
v22+=sy2/dr/dr;
Double_t v20=sy2/dr;
- v33+=kSigmaZV*kSigmaZV/dr/dr;
+ v33+=fSigmaZV*fSigmaZV/dr/dr;
v33+=sz2/dr/dr;
Double_t v31=sz2/dr;
//Multiple scattering******************
if (d!=0) {
- //Double_t theta2=14.1*14.1/(beta2*p2*1e6)*TMath::Abs(d);
- Double_t theta2=1.0259e-6*14*14/28/(beta2*p2)*TMath::Abs(d)*9.36*2.33;
+ Double_t theta2=14.1*14.1/(beta2*p2*1e6)*TMath::Abs(d);
+ //Double_t theta2=1.0259e-6*14*14/28/(beta2*p2)*TMath::Abs(d)*9.36*2.33;
fC22 += theta2*(1.- fP2*fP2)*(1. + fP3*fP3);
fC33 += theta2*(1. + fP3*fP3)*(1. + fP3*fP3);
fC43 += theta2*fP3*fP4*(1. + fP3*fP3);
return 0;
}
+ // old position [SR, GSI, 17.02.2003]
+ Double_t oldX = fX, oldY = fP0, oldZ = fP1;
+
Double_t r1=sqrt(1.- f1*f1), r2=sqrt(1.- f2*f2);
fP0 += dx*(f1+f2)/(r1+r2);
if (!CorrectForMaterial(d,x0)) return 0;
+ // Integrated Time [SR, GSI, 17.02.2003]
+ if (IsStartedTimeIntegral()) {
+ Double_t l2 = (fX-oldX)*(fX-oldX)+(fP0-oldY)*(fP0-oldY)+(fP1-oldZ)*(fP1-oldZ);
+ AddTimeStep(TMath::Sqrt(l2));
+ }
+ //
+
return 1;
}
//------------------------------------------------------------------
//This function propagates a track
//------------------------------------------------------------------
+ Double_t alpha=fAlpha, x=fX;
Double_t p0=fP0,p1=fP1,p2=fP2,p3=fP3,p4=fP4;
Double_t c00=fC00;
Double_t c10=fC10, c11=fC11;
Double_t c30=fC30, c31=fC31, c32=fC32, c33=fC33;
Double_t c40=fC40, c41=fC41, c42=fC42, c43=fC43, c44=fC44;
+ if (alp < -TMath::Pi()) alp += 2*TMath::Pi();
+ else if (alp >= TMath::Pi()) alp -= 2*TMath::Pi();
+ Double_t ca=TMath::Cos(alp-fAlpha), sa=TMath::Sin(alp-fAlpha);
+ Double_t sf=fP2, cf=TMath::Sqrt(1.- fP2*fP2);
- Double_t dalp=alp-fAlpha;
-
- Double_t ca=TMath::Cos(dalp), sa=TMath::Sin(dalp);
- Double_t sf=fP2, cf=TMath::Sqrt(1.- fP2*fP2);
-
- Double_t pp2=fP2*ca - cf*sa;
- if (TMath::Abs(pp2) >= 0.9999) {
- Int_t n=GetNumberOfClusters();
- if (n>kWARN)
- cerr<<n<<" AliITStrackV2::Propagate: Rotation failed !\n";
- return 0;
- }
-
+ TMatrixD *T=0;
+ // **** rotation **********************
+ {
fAlpha = alp;
- if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
- else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
-
- Double_t x1=fX, y1=fP0;
-
- fX = x1*ca + y1*sa;
- fP0=-x1*sa + y1*ca;
- fP2 = pp2;
+ fX = x*ca + p0*sa;
+ fP0= -x*sa + p0*ca;
+ fP2= sf*ca - cf*sa;
+
+ TMatrixD C(5,5);
+ C(0,0)=c00;
+ C(1,0)=c10; C(1,1)=c11;
+ C(2,0)=c20; C(2,1)=c21; C(2,2)=c22;
+ C(3,0)=c30; C(3,1)=c31; C(3,2)=c32; C(3,3)=c33;
+ C(4,0)=c40; C(4,1)=c41; C(4,2)=c42; C(4,3)=c43; C(4,4)=c44;
+ C(0,1)=C(1,0);
+ C(0,2)=C(2,0); C(1,2)=C(2,1);
+ C(0,3)=C(3,0); C(1,3)=C(3,1); C(2,3)=C(3,2);
+ C(0,4)=C(4,0); C(1,4)=C(4,1); C(2,4)=C(4,2); C(3,4)=C(4,3);
- cf=ca + sf*sa/cf;
+ TMatrixD F(6,5);
+ F(0,0)=sa;
+ F(1,0)=ca;
+ F(2,1)=F(4,3)=F(5,4)=1;
+ F(3,2)=ca + sf/cf*sa;
- if (!Invariant()) return 0;
+ TMatrixD tmp(C,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, F));
+ T=new TMatrixD(F,TMatrixD::kMult,tmp);
+ }
- x1=fX; Double_t x2=xk, dx=x2-x1;
+ // **** translation ******************
+ {
+ Double_t dx=xk-fX;
Double_t f1=fP2, f2=f1 + fP4*dx;
if (TMath::Abs(f2) >= 0.9999) {
Int_t n=GetNumberOfClusters();
cerr<<n<<" AliITStrackV2::Propagate: Propagation failed !\n";
return 0;
}
-
- Double_t r1=sqrt(1.- f1*f1), r2=sqrt(1.- f2*f2);
+ Double_t r1=TMath::Sqrt(1.- f1*f1), r2=TMath::Sqrt(1.- f2*f2);
+ fX=xk;
fP0 += dx*(f1+f2)/(r1+r2);
fP1 += dx*(f1+f2)/(f1*r2 + f2*r1)*fP3;
fP2 += dx*fP4;
- //f = F - 1
- Double_t f02= dx/(r1*r1*r1);
- Double_t f04=0.5*dx*dx/(r1*r1*r1);
- Double_t f12= dx*fP3*f1/(r1*r1*r1);
- Double_t f14=0.5*dx*dx*fP3*f1/(r1*r1*r1);
- Double_t f13= dx/r1;
- Double_t f24= dx;
- /*
- //b = C*ft
- Double_t b00=f02*fC20 + f03*fC30, b01=f12*fC20 + f13*fC30 + f14*fC40;
- Double_t b02=f23*fC30;
- Double_t b10=f02*fC21 + f03*fC31, b11=f12*fC21 + f13*fC31 + f14*fC41;
- Double_t b12=f23*fC31;
- Double_t b20=f02*fC22 + f03*fC32, b21=f12*fC22 + f13*fC32 + f14*fC42;
- Double_t b22=f23*fC32;
- Double_t b30=f02*fC32 + f03*fC33, b31=f12*fC32 + f13*fC33 + f14*fC43;
- Double_t b32=f23*fC33;
- Double_t b40=f02*fC42 + f03*fC43, b41=f12*fC42 + f13*fC43 + f14*fC44;
- Double_t b42=f23*fC43;
-
- //a = f*b = f*C*ft
- Double_t a00=f02*b20+f03*b30,a01=f02*b21+f03*b31,a02=f02*b22+f03*b32;
- Double_t a11=f12*b21+f13*b31+f14*b41,a12=f12*b22+f13*b32+f14*b42;
- Double_t a22=f23*b32;
-
- //F*C*Ft = C + (b + bt + a)
- fC00 += b00 + b00 + a00;
- fC10 += b10 + b01 + a01;
- fC20 += b20 + b02 + a02;
- fC30 += b30;
- fC40 += b40;
- fC11 += b11 + b11 + a11;
- fC21 += b21 + b12 + a12;
- fC31 += b31;
- fC41 += b41;
- fC22 += b22 + b22 + a22;
- fC32 += b32;
- fC42 += b42;
-*/
-
- TMatrixD F(5,5); F.UnitMatrix();
- F(0,0)=-(f1+f2)/(r1+r2)*sa + ca; F(0,2)=f02*cf; F(0,4)=f04;
- F(1,0)=-(f1+f2)/(f1*r2 + f2*r1)*fP3*sa; F(1,2)=f12*cf; F(1,4)=f14; F(1,3)=f13;
- F(2,0)=-fP4*sa; F(2,2)=cf; F(2,4)=f24;
-
- TMatrixD C(5,5);
- C(0,0)=fC00;
- C(1,0)=fC10; C(1,1)=fC11;
- C(2,0)=fC20; C(2,1)=fC21; C(2,2)=fC22;
- C(3,0)=fC30; C(3,1)=fC31; C(3,2)=fC32; C(3,3)=fC33;
- C(4,0)=fC40; C(4,1)=fC41; C(4,2)=fC42; C(4,3)=fC43; C(4,4)=fC44;
-
- C(0,1)=C(1,0);
- C(0,2)=C(2,0); C(1,2)=C(2,1);
- C(0,3)=C(3,0); C(1,3)=C(3,1); C(2,3)=C(3,2);
- C(0,4)=C(4,0); C(1,4)=C(4,1); C(2,4)=C(4,2); C(3,4)=C(4,3);
-
- TMatrixD tmp(C,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, F));
- C.Mult(F,tmp);
+ TMatrixD F(5,6);
+ F(0,1)=F(1,2)=F(2,3)=F(3,4)=F(4,5)=1;
+ F(0,3)=dx/(r1+r2)*(2+(f1+f2)*(f2/r2+f1/r1)/(r1+r2));
+ F(0,5)=dx*dx/(r1+r2)*(1+(f1+f2)*f2/(r1+r2));
+ F(1,3)=dx*fP3/(f1*r2 + f2*r1)*(2-(f1+f2)*(r2-f1*f2/r2+r1-f2*f1/r1)/(f1*r2 + f2*r1));
+ F(1,4)=dx*(f1+f2)/(f1*r2 + f2*r1);
+ F(1,5)=dx*dx*fP3/(f1*r2 + f2*r1)*(1-(f1+f2)*(-f1*f2/r2+r1)/(f1*r2 + f2*r1));
+ F(2,5)=dx;
+ F(0,0)=-1/(r1+r2)*((f1+f2)+dx*fP4*(1+(f1+f2)/(r1+r2)*f2/r2));
+ F(1,0)=-fP3/(f1*r2 + f2*r1)*((f1+f2)+dx*fP4*(1+(f1+f2)/(f1*r2 + f2*r1)*(f1*f2/r2-r1)));
+ F(2,0)=-fP4;
+
+ TMatrixD tmp(*T,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, F));
+ delete T;
+ TMatrixD C(F,TMatrixD::kMult,tmp);
fC00=C(0,0);
fC10=C(1,0); fC11=C(1,1);
fC40=C(4,0); fC41=C(4,1); fC42=C(4,2); fC43=C(4,3); fC44=C(4,4);
if (!Invariant()) {
+ fAlpha=alpha;
+ fX=x;
fP0=p0; fP1=p1; fP2=p2; fP3=p3; fP4=p4;
fC00=c00;
fC10=c10; fC11=c11;
fC40=c40; fC41=c41; fC42=c42; fC43=c43; fC44=c44;
return 0;
}
-
- fX=x2;
+ }
return 1;
}
-Double_t AliITStrackV2::GetD() const {
+Double_t AliITStrackV2::GetD(Double_t x, Double_t y) const {
//------------------------------------------------------------------
- //This function calculates the transverse impact parameter
+ // This function calculates the transverse impact parameter
+ // with respect to a point with global coordinates (x,y)
//------------------------------------------------------------------
- Double_t sn=fP4*fX - fP2, cs=fP4*fP0 + TMath::Sqrt(1.- fP2*fP2);
- Double_t a=2*(fX*fP2 - fP0*TMath::Sqrt(1.- fP2*fP2))-fP4*(fX*fX + fP0*fP0);
+ Double_t xt=fX, yt=fP0;
+
+ Double_t sn=TMath::Sin(fAlpha), cs=TMath::Cos(fAlpha);
+ Double_t a = x*cs + y*sn;
+ y = -x*sn + y*cs; x=a;
+ xt-=x; yt-=y;
+
+ sn=fP4*xt - fP2; cs=fP4*yt + TMath::Sqrt(1.- fP2*fP2);
+ a=2*(xt*fP2 - yt*TMath::Sqrt(1.- fP2*fP2))-fP4*(xt*xt + yt*yt);
if (fP4<0) a=-a;
return a/(1 + TMath::Sqrt(sn*sn + cs*cs));
}
Double_t parp=0.5*(fP4*fX + dy*TMath::Sqrt(4/r2-fP4*fP4));
Double_t sigma2p = theta2*(1.- GetSnp()*GetSnp())*(1. + GetTgl()*GetTgl());
sigma2p += fC00/r2*(1.- dy*dy/r2)*(1.- dy*dy/r2);
- sigma2p += kSigmaYV*kSigmaYV/r2;
+ sigma2p += fSigmaYV*fSigmaYV/r2;
sigma2p += 0.25*fC44*fX*fX;
Double_t eps2p=sigma2p/(fC22+sigma2p);
fP0 += fC20/(fC22+sigma2p)*(parp-fP2);
Double_t parl=0.5*fP4*dz/TMath::ASin(0.5*fP4*TMath::Sqrt(r2));
Double_t sigma2l=theta2;
sigma2l += fC11/r2+fC00*dy*dy*dz*dz/(r2*r2*r2);
- sigma2l += kSigmaZV*kSigmaZV/r2;
+ sigma2l += fSigmaZV*fSigmaZV/r2;
Double_t eps2l=sigma2l/(fC33+sigma2l);
fP1 += fC31/(fC33+sigma2l)*(parl-fP3);
fP4 += fC43/(fC33+sigma2l)*(parl-fP3);
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff