[u/mrichter/AliRoot.git] / STEER / AliTrackFitterRieman.cxx

/**************************************************************************
 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
 *                                                                        *
 * Author: The ALICE Off-line Project.                                    *
 * Contributors are mentioned in the code where appropriate.              *
 *                                                                        *
 * Permission to use, copy, modify and distribute this software and its   *
 * documentation strictly for non-commercial purposes is hereby granted   *
 * without fee, provided that the above copyright notice appears in all   *
 * copies and that both the copyright notice and this permission notice   *
 * appear in the supporting documentation. The authors make no claims     *
 * about the suitability of this software for any purpose. It is          *
 * provided "as is" without express or implied warranty.                  *
 **************************************************************************/

/* $Id$ */

///////////////////////////////////////////////////////////////////////////////
//
// Class to the track points on the Riemann sphere. Inputs are
// the set of id's (volids) of the volumes in which residuals are
// calculated to construct a chi2 function to be minimized during 
// the alignment procedures. For the moment the track extrapolation is 
// taken at the space-point reference plane. The reference plane is
// found using the covariance matrix of the point
// (assuming sigma(x)=0 at the reference coordinate system.
//
// Internal usage of AliRieman class for minimization
//
//////////////////////////////////////////////////////////////////////////////

#include "TMatrixDSym.h"
#include "TMatrixD.h"
#include "TArrayI.h"
#include "AliTrackFitterRieman.h"
#include "AliLog.h"
#include "TTreeStream.h"
#include "AliRieman.h"
#include "AliLog.h"

ClassImp(AliTrackFitterRieman)


AliTrackFitterRieman::AliTrackFitterRieman():
  AliTrackFitter(),
  fAlpha(0.),
  fNUsed(0),
  fConv(kFALSE),
  fMaxDelta(3),
  fRieman(new AliRieman(10000)),  // allocate rieman
  fDebugStream(new TTreeSRedirector("RiemanAlignDebug.root"))
{
  //
  // default constructor
  //
}


AliTrackFitterRieman::AliTrackFitterRieman(AliTrackPointArray *array, Bool_t owner):
  AliTrackFitter(array,owner),
  fAlpha(0.),
  fNUsed(0),
  fConv(kFALSE),
  fMaxDelta(3),
  fRieman(new AliRieman(10000)),  //allocate rieman
  fDebugStream(0)
{
  //
  // Constructor
  //
  if (AliLog::GetDebugLevel("","AliTrackFitterRieman")) fDebugStream = new TTreeSRedirector("RiemanAlignDebug.root");
}

AliTrackFitterRieman::AliTrackFitterRieman(const AliTrackFitterRieman &rieman):
  AliTrackFitter(rieman),
  fAlpha(rieman.fAlpha),
  fNUsed(rieman.fNUsed),
  fConv(rieman.fConv),
  fMaxDelta(rieman.fMaxDelta),
  fRieman(new AliRieman(*(rieman.fRieman))),
  fDebugStream(0)
{
  //
  // copy constructor
  //
  if (AliLog::GetDebugLevel("","AliTrackFitterRieman")) fDebugStream = new TTreeSRedirector("RiemanAlignDebug.root");
}

//_____________________________________________________________________________
AliTrackFitterRieman &AliTrackFitterRieman::operator =(const AliTrackFitterRieman& rieman)
{
  //
  // Assignment operator
  //
  if(this==&rieman) return *this;
  ((AliTrackFitter *)this)->operator=(rieman);

  fAlpha  = rieman.fAlpha;
  fNUsed  = rieman.fNUsed;
  fConv   = rieman.fConv;
  fMaxDelta = rieman.fMaxDelta;
  fRieman = new AliRieman(*(rieman.fRieman));
  fDebugStream = 0;
  if (AliLog::GetDebugLevel("","AliTrackFitterRieman")) fDebugStream = new TTreeSRedirector("RiemanAlignDebug.root");
  return *this;
}


AliTrackFitterRieman::~AliTrackFitterRieman(){
  //
  //
  //
  delete fRieman;
  delete fDebugStream;
}

void AliTrackFitterRieman::Reset()
{
  // Reset the track parameters and
  // rieman sums
  //
  AliTrackFitter::Reset();
  fRieman->Reset();
  fAlpha = 0.;
  fNUsed = 0;
  fConv =kFALSE;
}

Bool_t AliTrackFitterRieman::Fit(const TArrayI *volIds,const TArrayI *volIdsFit,
				 AliAlignObj::ELayerID layerRangeMin,
			 AliAlignObj::ELayerID layerRangeMax)
{
  // Fit the track points. The method takes as an input
  // the set of id's (volids) of the volumes in which
  // one wants to calculate the residuals.
  // The following parameters are used to define the
  // range of volumes to be used in the fitting
  // As a result two AliTrackPointArray's obects are filled.
  // The first one contains the space points with
  // volume id's from volids list. The second array of points represents
  // the track extrapolations corresponding to the space points
  // in the first array. The two arrays can be used to find
  // the residuals in the volids and consequently construct a
  // chi2 function to be minimized during the alignment
  // procedures. For the moment the track extrapolation is taken
  // at the space-point reference plane. The reference plane is
  // found using the covariance matrix of the point
  // (assuming sigma(x)=0 at the reference coordinate system.

  Reset();
  Int_t npoints = fPoints->GetNPoints();
  if (fPoints && AliLog::GetDebugLevel("","AliTrackFitterRieman")>1){
    Int_t nVol    = volIds->GetSize();
    Int_t nVolFit = volIdsFit->GetSize();
    Int_t volId  = volIds->At(0);    
    (*fDebugStream)<<"PInput"<<
      "NPoints="<<npoints<<    // number of points
      "VolId="<<volId<<        // first vol ID
      "NVol="<<nVol<<          // number of volumes 
      "NvolFit="<<nVolFit<<    // number of volumes to fit
      "fPoints.="<<fPoints<<   // input points
      "\n";
  }
  if (npoints < 3) return kFALSE;

  Bool_t isAlphaCalc = kFALSE;
  AliTrackPoint p,plocal;
//   fPoints->GetPoint(p,0);
//   fAlpha = TMath::ATan2(p.GetY(),p.GetX());

  Int_t npVolId = 0;
  fNUsed = 0;
  Int_t *pindex = new Int_t[npoints];
  for (Int_t ipoint = 0; ipoint < npoints; ipoint++)
    {
      fPoints->GetPoint(p,ipoint);
      UShort_t iVolId = p.GetVolumeID();
      if (FindVolId(volIds,iVolId)) {
	pindex[npVolId] = ipoint;
	npVolId++;
      }
      if (volIdsFit != 0x0) {
	if (!FindVolId(volIdsFit,iVolId)) continue;
      }
      else {
	if (iVolId < AliAlignObj::LayerToVolUID(layerRangeMin,0) ||
	    iVolId > AliAlignObj::LayerToVolUID(layerRangeMax,
						AliAlignObj::LayerSize(layerRangeMax))) continue;
      }
      if (!isAlphaCalc) {
	fAlpha = p.GetAngle();
	isAlphaCalc = kTRUE;
      }
      plocal = p.Rotate(fAlpha);
      if (TMath::Abs(plocal.GetX())>500 || TMath::Abs(plocal.GetX())<2 || plocal.GetCov()[3]<=0 ||plocal.GetCov()[5]<=0 ){
	printf("<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<</n");
	p.Dump();
	plocal.Dump();
	printf("Problematic point\n");	
	printf("<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<</n");
      }else{
	AddPoint(plocal.GetX(),plocal.GetY(),plocal.GetZ(),
		 TMath::Sqrt(plocal.GetCov()[3]),TMath::Sqrt(plocal.GetCov()[5]));
      }
      // fNUsed++;  AddPoint should be responsible
    }

  if (npVolId == 0 || fNUsed < fMinNPoints) {
    delete [] pindex;
    return kFALSE;
  }

  Update();
 
  if (!fConv) {
    delete [] pindex;
    return kFALSE;
  }

  if ((fParams[0] == 0) ||
      ((-fParams[2]*fParams[0]+fParams[1]*fParams[1]+1) <= 0)) {
    delete [] pindex;
    return kFALSE;
  }


  if (fNUsed < fMinNPoints) {
    delete [] pindex;
    return kFALSE;
  }

  fPVolId = new AliTrackPointArray(npVolId);
  fPTrack = new AliTrackPointArray(npVolId);
  AliTrackPoint p2;
  for (Int_t ipoint = 0; ipoint < npVolId; ipoint++)
    {
      Int_t index = pindex[ipoint];
      fPoints->GetPoint(p,index);
      if (GetPCA(p,p2) && (
	  TMath::Abs(p.GetX()-p2.GetX())<fMaxDelta && 
	  TMath::Abs(p.GetY()-p2.GetY())<fMaxDelta &&
	  TMath::Abs(p.GetZ()-p2.GetZ())<fMaxDelta
	  )) {
	Float_t xyz[3],xyz2[3];
	p.GetXYZ(xyz); p2.GetXYZ(xyz2);
	//	printf("residuals %f %d %d %f %f %f %f %f %f\n",fChi2,fNUsed,fConv,xyz[0],xyz[1],xyz[2],xyz2[0]-xyz[0],xyz2[1]-xyz[1],xyz2[2]-xyz[2]);	
	fPVolId->AddPoint(ipoint,&p);
	fPTrack->AddPoint(ipoint,&p2);
      }else{
	// what should be default bahavior -  
	delete [] pindex;
	delete fPVolId;
	delete fPTrack;
	fPVolId =0;
	fPTrack =0;
	return kFALSE;
      }
    }  
  
  if (AliLog::GetDebugLevel("","AliTrackFitterRieman")>0){
    //
    // Debug Info
    //
    AliTrackPointArray *lPVolId = new AliTrackPointArray(npVolId);
    AliTrackPointArray *lPTrack = new AliTrackPointArray(npVolId);
    AliRieman * residual = fRieman->MakeResiduals();
    AliTrackPoint p2local;
    for (Int_t ipoint = 0; ipoint < npVolId; ipoint++){
      Int_t index = pindex[ipoint];
      fPoints->GetPoint(p,index); 
      if (GetPCA(p,p2)) {
	plocal = p.Rotate(fAlpha);
	//	plocal.Rotate(fAlpha);
	Float_t xyz[3],xyz2[3];
	p2local = plocal;
	plocal.GetXYZ(xyz); 
	xyz2[0] = xyz[0];
	xyz2[1] = GetYat(xyz[0]); 
	xyz2[2] = GetZat(xyz[0]); 
	p2local.SetXYZ(xyz2);
	lPVolId->AddPoint(ipoint,&plocal);
	lPTrack->AddPoint(ipoint,&p2local);
      }
    }      
    //
    // debug info
    //
    Int_t nVol    = volIds->GetSize();
    Int_t nVolFit = volIdsFit->GetSize();
    Int_t volId   = volIds->At(0);   
    Int_t modId   =0;
    Int_t layer   =  AliAlignObj::VolUIDToLayer(volId,modId);
    
    (*fDebugStream)<<"Fit"<<
      "VolId="<<volId<<        // volume ID
      "Layer="<<layer<<        // layer ID
      "Module="<<modId<<       // module ID
      "NVol="<<nVol<<          // number of volumes 
      "NvolFit="<<nVolFit<<    // number of volumes to fit
      "Points0.="<<fPVolId<<    // original points
      "Points1.="<<fPTrack<<    // fitted points 
      "LPoints0.="<<lPVolId<<   // original points - local frame
      "LPoints1.="<<lPTrack<<   // fitted points   - local frame      
      "Rieman.="<<this<<        // original rieman fit
      "Res.="<<residual<<       // residuals of rieman fit  
      "\n";
    delete lPVolId;
    delete lPTrack;
    delete residual;
  }

  delete [] pindex;
  return kTRUE;
}


void AliTrackFitterRieman::AddPoint(Float_t x, Float_t y, Float_t z, Float_t sy, Float_t sz)
{
  //
  // add point to rieman fitter
  //
  fRieman->AddPoint(x,y,z,sy,sz);
  fNUsed = fRieman->GetN();
}


void AliTrackFitterRieman::Update(){
  //
  // 
  //
  fRieman->Update();
  fConv = kFALSE;
  if (fRieman->IsValid()){
    for (Int_t ipar=0; ipar<6; ipar++){
      fParams[ipar] = fRieman->GetParam()[ipar];
    }
    fChi2  =  fRieman->GetChi2();
    fNdf   =  fRieman->GetN()- 2;
    fNUsed =  fRieman->GetN();
    fConv = kTRUE;
  }
}

//_____________________________________________________________________________
Bool_t AliTrackFitterRieman::GetPCA(const AliTrackPoint &p, AliTrackPoint &p2) const
{
  //
  // Get the closest to a given spacepoint track trajectory point
  // Look for details in the description of the Fit() method
  //
  if (!fConv) return kFALSE;

  // First X and Y coordinates
  Double_t sin = TMath::Sin(fAlpha);
  Double_t cos = TMath::Cos(fAlpha);
  //  fParam[0]  = 1/y0
  //  fParam[1]  = -x0/y0
  //  fParam[2]  = - (R^2 - x0^2 - y0^2)/y0
  if (fParams[0] == 0) return kFALSE;
  // Track parameters in the global coordinate system
  Double_t x0 = -fParams[1]/fParams[0]*cos -         1./fParams[0]*sin;
  Double_t y0 =          1./fParams[0]*cos - fParams[1]/fParams[0]*sin;
  if ((-fParams[2]*fParams[0]+fParams[1]*fParams[1]+1) <= 0) return kFALSE;
  Double_t r  = TMath::Sqrt(-fParams[2]*fParams[0]+fParams[1]*fParams[1]+1)/
                fParams[0];

  // Define space-point refence plane
  Double_t alphap = p.GetAngle();
  Double_t sinp = TMath::Sin(alphap);
  Double_t cosp = TMath::Cos(alphap);
  Double_t x  = p.GetX()*cosp + p.GetY()*sinp;
  Double_t y  = p.GetY()*cosp - p.GetX()*sinp;
  Double_t x0p= x0*cosp + y0*sinp;
  Double_t y0p= y0*cosp - x0*sinp;
  if ((r*r - (x-x0p)*(x-x0p))<0) {
    AliWarning(Form("Track extrapolation failed ! (Track radius = %f, track circle x = %f, space-point x = %f, reference plane angle = %f\n",r,x0p,x,alphap));
    return kFALSE;
  }
  Double_t temp = TMath::Sqrt(r*r - (x-x0p)*(x-x0p));
  Double_t y1 = y0p + temp;
  Double_t y2 = y0p - temp;
  Double_t yprime = y1;
  if(TMath::Abs(y2-y) < TMath::Abs(y1-y)) yprime = y2;

  // Back to the global coordinate system
  Double_t xsecond = x*cosp - yprime*sinp;
  Double_t ysecond = yprime*cosp + x*sinp;

  // Now Z coordinate and track angles
  Double_t x2 = xsecond*cos + ysecond*sin;
  Double_t zsecond = GetZat(x2);
  Double_t dydx = GetDYat(x2);
  Double_t dzdx = GetDZat(x2);

  // Fill the cov matrix of the track extrapolation point
  Double_t cov[6] = {0,0,0,0,0,0};
  Double_t sigmax = 100*100.;
  cov[0] = sigmax;           cov[1] = sigmax*dydx;      cov[2] = sigmax*dzdx;
  cov[3] = sigmax*dydx*dydx; cov[4] = sigmax*dydx*dzdx;
  cov[5] = sigmax*dzdx*dzdx;

  Float_t  newcov[6];
  newcov[0] = cov[0]*cos*cos-
            2*cov[1]*sin*cos+
              cov[3]*sin*sin;
  newcov[1] = cov[1]*(cos*cos-sin*sin)-
             (cov[3]-cov[0])*sin*cos;
  newcov[2] = cov[2]*cos-
              cov[4]*sin;
  newcov[3] = cov[0]*sin*sin+
            2*cov[1]*sin*cos+
              cov[3]*cos*cos;
  newcov[4] = cov[4]*cos+
              cov[2]*sin;
  newcov[5] = cov[5];

  p2.SetXYZ(xsecond,ysecond,zsecond,newcov);
  if (AliLog::GetDebugLevel("","AliTrackFitterRieman")>1){
    AliTrackPoint lp0(p);
    AliTrackPoint lp2(p2);
    if (0)(*fDebugStream)<<"PCA"<<
      "P0.="<<&lp0<<
      "P2.="<<&lp2<<
      "\n";
  }
  return kTRUE;
}
Commit	Line	Data
6b6cba33	1	/**************************************************************************
	2	* Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
	3	* *
	4	* Author: The ALICE Off-line Project. *
	5	* Contributors are mentioned in the code where appropriate. *
	6	* *
	7	* Permission to use, copy, modify and distribute this software and its *
	8	* documentation strictly for non-commercial purposes is hereby granted *
	9	* without fee, provided that the above copyright notice appears in all *
	10	* copies and that both the copyright notice and this permission notice *
	11	* appear in the supporting documentation. The authors make no claims *
	12	* about the suitability of this software for any purpose. It is *
	13	* provided "as is" without express or implied warranty. *
	14	**************************************************************************/
	15
	16	/* $Id$ */
	17
	18	///////////////////////////////////////////////////////////////////////////////
	19	//
	20	// Class to the track points on the Riemann sphere. Inputs are
	21	// the set of id's (volids) of the volumes in which residuals are
	22	// calculated to construct a chi2 function to be minimized during
	23	// the alignment procedures. For the moment the track extrapolation is
	24	// taken at the space-point reference plane. The reference plane is
	25	// found using the covariance matrix of the point
	26	// (assuming sigma(x)=0 at the reference coordinate system.
	27	//
8849da04	28	// Internal usage of AliRieman class for minimization
8849da04	29	//
6b6cba33	30	//////////////////////////////////////////////////////////////////////////////
6b6cba33	31
98937d93	32	#include "TMatrixDSym.h"
98937d93	33	#include "TMatrixD.h"
8849da04	34	#include "TArrayI.h"
98937d93	35	#include "AliTrackFitterRieman.h"
24d4520d	36	#include "AliLog.h"
8849da04	37	#include "TTreeStream.h"
	38	#include "AliRieman.h"
	39	#include "AliLog.h"
98937d93	40
	41	ClassImp(AliTrackFitterRieman)
	42
8849da04	43
98937d93	44	AliTrackFitterRieman::AliTrackFitterRieman():
75e3794b	45	AliTrackFitter(),
	46	fAlpha(0.),
	47	fNUsed(0),
	48	fConv(kFALSE),
	49	fMaxDelta(3),
	50	fRieman(new AliRieman(10000)), // allocate rieman
	51	fDebugStream(new TTreeSRedirector("RiemanAlignDebug.root"))
98937d93	52	{
	53	//
	54	// default constructor
	55	//
98937d93	56	}
	57
	58
	59	AliTrackFitterRieman::AliTrackFitterRieman(AliTrackPointArray *array, Bool_t owner):
75e3794b	60	AliTrackFitter(array,owner),
	61	fAlpha(0.),
	62	fNUsed(0),
	63	fConv(kFALSE),
	64	fMaxDelta(3),
	65	fRieman(new AliRieman(10000)), //allocate rieman
	66	fDebugStream(0)
98937d93	67	{
	68	//
	69	// Constructor
	70	//
8849da04	71	if (AliLog::GetDebugLevel("","AliTrackFitterRieman")) fDebugStream = new TTreeSRedirector("RiemanAlignDebug.root");
98937d93	72	}
	73
	74	AliTrackFitterRieman::AliTrackFitterRieman(const AliTrackFitterRieman &rieman):
75e3794b	75	AliTrackFitter(rieman),
	76	fAlpha(rieman.fAlpha),
	77	fNUsed(rieman.fNUsed),
	78	fConv(rieman.fConv),
	79	fMaxDelta(rieman.fMaxDelta),
	80	fRieman(new AliRieman(*(rieman.fRieman))),
	81	fDebugStream(0)
98937d93	82	{
	83	//
	84	// copy constructor
	85	//
75e3794b	86	if (AliLog::GetDebugLevel("","AliTrackFitterRieman")) fDebugStream = new TTreeSRedirector("RiemanAlignDebug.root");
98937d93	87	}
	88
	89	//_____________________________________________________________________________
	90	AliTrackFitterRieman &AliTrackFitterRieman::operator =(const AliTrackFitterRieman& rieman)
	91	{
6b6cba33	92	//
6b6cba33	93	// Assignment operator
98937d93	94	//
	95	if(this==&rieman) return *this;
	96	((AliTrackFitter *)this)->operator=(rieman);
	97
8849da04	98	fAlpha = rieman.fAlpha;
	99	fNUsed = rieman.fNUsed;
	100	fConv = rieman.fConv;
186e6ced	101	fMaxDelta = rieman.fMaxDelta;
8849da04	102	fRieman = new AliRieman(*(rieman.fRieman));
75e3794b	103	fDebugStream = 0;
75e3794b	104	if (AliLog::GetDebugLevel("","AliTrackFitterRieman")) fDebugStream = new TTreeSRedirector("RiemanAlignDebug.root");
98937d93	105	return *this;
	106	}
	107
8849da04	108
	109	AliTrackFitterRieman::~AliTrackFitterRieman(){
	110	//
	111	//
	112	//
	113	delete fRieman;
	114	delete fDebugStream;
	115	}
	116
98937d93	117	void AliTrackFitterRieman::Reset()
	118	{
	119	// Reset the track parameters and
	120	// rieman sums
6b6cba33	121	//
98937d93	122	AliTrackFitter::Reset();
8849da04	123	fRieman->Reset();
98937d93	124	fAlpha = 0.;
46ae650f	125	fNUsed = 0;
98937d93	126	fConv =kFALSE;
	127	}
	128
cc345ce3	129	Bool_t AliTrackFitterRieman::Fit(const TArrayI volIds,const TArrayI volIdsFit,
98937d93	130	AliAlignObj::ELayerID layerRangeMin,
8849da04	131	AliAlignObj::ELayerID layerRangeMax)
98937d93	132	{
98937d93	133	// Fit the track points. The method takes as an input
cc345ce3	134	// the set of id's (volids) of the volumes in which
	135	// one wants to calculate the residuals.
	136	// The following parameters are used to define the
98937d93	137	// range of volumes to be used in the fitting
	138	// As a result two AliTrackPointArray's obects are filled.
	139	// The first one contains the space points with
cc345ce3	140	// volume id's from volids list. The second array of points represents
cc345ce3	141	// the track extrapolations corresponding to the space points
98937d93	142	// in the first array. The two arrays can be used to find
cc345ce3	143	// the residuals in the volids and consequently construct a
98937d93	144	// chi2 function to be minimized during the alignment
98937d93	145	// procedures. For the moment the track extrapolation is taken
cc345ce3	146	// at the space-point reference plane. The reference plane is
	147	// found using the covariance matrix of the point
	148	// (assuming sigma(x)=0 at the reference coordinate system.
98937d93	149
46ae650f	150	Reset();
98937d93	151	Int_t npoints = fPoints->GetNPoints();
8849da04	152	if (fPoints && AliLog::GetDebugLevel("","AliTrackFitterRieman")>1){
	153	Int_t nVol = volIds->GetSize();
	154	Int_t nVolFit = volIdsFit->GetSize();
	155	Int_t volId = volIds->At(0);
	156	(*fDebugStream)<<"PInput"<<
	157	"NPoints="<<npoints<< // number of points
	158	"VolId="<<volId<< // first vol ID
	159	"NVol="<<nVol<< // number of volumes
	160	"NvolFit="<<nVolFit<< // number of volumes to fit
	161	"fPoints.="<<fPoints<< // input points
	162	"\n";
	163	}
98937d93	164	if (npoints < 3) return kFALSE;
98937d93	165
cc345ce3	166	Bool_t isAlphaCalc = kFALSE;
46ae650f	167	AliTrackPoint p,plocal;
cc345ce3	168	// fPoints->GetPoint(p,0);
cc345ce3	169	// fAlpha = TMath::ATan2(p.GetY(),p.GetX());
98937d93	170
98937d93	171	Int_t npVolId = 0;
46ae650f	172	fNUsed = 0;
98937d93	173	Int_t *pindex = new Int_t[npoints];
	174	for (Int_t ipoint = 0; ipoint < npoints; ipoint++)
	175	{
	176	fPoints->GetPoint(p,ipoint);
	177	UShort_t iVolId = p.GetVolumeID();
cc345ce3	178	if (FindVolId(volIds,iVolId)) {
98937d93	179	pindex[npVolId] = ipoint;
	180	npVolId++;
	181	}
cc345ce3	182	if (volIdsFit != 0x0) {
cc345ce3	183	if (!FindVolId(volIdsFit,iVolId)) continue;
46ae650f	184	}
	185	else {
	186	if (iVolId < AliAlignObj::LayerToVolUID(layerRangeMin,0) \|\|
	187	iVolId > AliAlignObj::LayerToVolUID(layerRangeMax,
c041444f	188	AliAlignObj::LayerSize(layerRangeMax))) continue;
46ae650f	189	}
cc345ce3	190	if (!isAlphaCalc) {
	191	fAlpha = p.GetAngle();
	192	isAlphaCalc = kTRUE;
	193	}
46ae650f	194	plocal = p.Rotate(fAlpha);
186e6ced	195	if (TMath::Abs(plocal.GetX())>500 \|\| TMath::Abs(plocal.GetX())<2 \|\| plocal.GetCov()[3]<=0 \|\|plocal.GetCov()[5]<=0 ){
8849da04	196	printf("<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<</n");
	197	p.Dump();
	198	plocal.Dump();
	199	printf("Problematic point\n");
	200	printf("<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<</n");
186e6ced	201	}else{
	202	AddPoint(plocal.GetX(),plocal.GetY(),plocal.GetZ(),
	203	TMath::Sqrt(plocal.GetCov()[3]),TMath::Sqrt(plocal.GetCov()[5]));
8849da04	204	}
8849da04	205	// fNUsed++; AddPoint should be responsible
98937d93	206	}
98937d93	207
8849da04	208	if (npVolId == 0 \|\| fNUsed < fMinNPoints) {
98937d93	209	delete [] pindex;
	210	return kFALSE;
	211	}
	212
	213	Update();
cc345ce3	214
98937d93	215	if (!fConv) {
	216	delete [] pindex;
	217	return kFALSE;
	218	}
	219
	220	if ((fParams[0] == 0) \|\|
	221	((-fParams[2]fParams[0]+fParams[1]fParams[1]+1) <= 0)) {
	222	delete [] pindex;
	223	return kFALSE;
	224	}
	225
cc345ce3	226
	227	if (fNUsed < fMinNPoints) {
	228	delete [] pindex;
	229	return kFALSE;
	230	}
	231
46ae650f	232	fPVolId = new AliTrackPointArray(npVolId);
46ae650f	233	fPTrack = new AliTrackPointArray(npVolId);
98937d93	234	AliTrackPoint p2;
	235	for (Int_t ipoint = 0; ipoint < npVolId; ipoint++)
	236	{
	237	Int_t index = pindex[ipoint];
	238	fPoints->GetPoint(p,index);
186e6ced	239	if (GetPCA(p,p2) && (
	240	TMath::Abs(p.GetX()-p2.GetX())<fMaxDelta &&
	241	TMath::Abs(p.GetY()-p2.GetY())<fMaxDelta &&
	242	TMath::Abs(p.GetZ()-p2.GetZ())<fMaxDelta
	243	)) {
cc345ce3	244	Float_t xyz[3],xyz2[3];
cc345ce3	245	p.GetXYZ(xyz); p2.GetXYZ(xyz2);
186e6ced	246	// printf("residuals %f %d %d %f %f %f %f %f %f\n",fChi2,fNUsed,fConv,xyz[0],xyz[1],xyz[2],xyz2[0]-xyz[0],xyz2[1]-xyz[1],xyz2[2]-xyz[2]);
46ae650f	247	fPVolId->AddPoint(ipoint,&p);
46ae650f	248	fPTrack->AddPoint(ipoint,&p2);
8849da04	249	}else{
	250	// what should be default bahavior -
	251	delete [] pindex;
	252	delete fPVolId;
	253	delete fPTrack;
	254	fPVolId =0;
	255	fPTrack =0;
	256	return kFALSE;
98937d93	257	}
98937d93	258	}
8849da04	259
	260	if (AliLog::GetDebugLevel("","AliTrackFitterRieman")>0){
	261	//
	262	// Debug Info
	263	//
	264	AliTrackPointArray *lPVolId = new AliTrackPointArray(npVolId);
	265	AliTrackPointArray *lPTrack = new AliTrackPointArray(npVolId);
	266	AliRieman * residual = fRieman->MakeResiduals();
	267	AliTrackPoint p2local;
	268	for (Int_t ipoint = 0; ipoint < npVolId; ipoint++){
	269	Int_t index = pindex[ipoint];
	270	fPoints->GetPoint(p,index);
	271	if (GetPCA(p,p2)) {
	272	plocal = p.Rotate(fAlpha);
	273	// plocal.Rotate(fAlpha);
	274	Float_t xyz[3],xyz2[3];
	275	p2local = plocal;
	276	plocal.GetXYZ(xyz);
	277	xyz2[0] = xyz[0];
	278	xyz2[1] = GetYat(xyz[0]);
	279	xyz2[2] = GetZat(xyz[0]);
	280	p2local.SetXYZ(xyz2);
	281	lPVolId->AddPoint(ipoint,&plocal);
	282	lPTrack->AddPoint(ipoint,&p2local);
	283	}
	284	}
	285	//
	286	// debug info
	287	//
	288	Int_t nVol = volIds->GetSize();
	289	Int_t nVolFit = volIdsFit->GetSize();
	290	Int_t volId = volIds->At(0);
	291	Int_t modId =0;
	292	Int_t layer = AliAlignObj::VolUIDToLayer(volId,modId);
	293
	294	(*fDebugStream)<<"Fit"<<
	295	"VolId="<<volId<< // volume ID
	296	"Layer="<<layer<< // layer ID
	297	"Module="<<modId<< // module ID
	298	"NVol="<<nVol<< // number of volumes
	299	"NvolFit="<<nVolFit<< // number of volumes to fit
	300	"Points0.="<<fPVolId<< // original points
	301	"Points1.="<<fPTrack<< // fitted points
	302	"LPoints0.="<<lPVolId<< // original points - local frame
	303	"LPoints1.="<<lPTrack<< // fitted points - local frame
	304	"Rieman.="<<this<< // original rieman fit
	305	"Res.="<<residual<< // residuals of rieman fit
	306	"\n";
	307	delete lPVolId;
	308	delete lPTrack;
	309	delete residual;
	310	}
98937d93	311
98937d93	312	delete [] pindex;
98937d93	313	return kTRUE;
	314	}
	315
8849da04	316
98937d93	317	void AliTrackFitterRieman::AddPoint(Float_t x, Float_t y, Float_t z, Float_t sy, Float_t sz)
	318	{
	319	//
8849da04	320	// add point to rieman fitter
98937d93	321	//
8849da04	322	fRieman->AddPoint(x,y,z,sy,sz);
8849da04	323	fNUsed = fRieman->GetN();
98937d93	324	}
98937d93	325
8849da04	326
8849da04	327
98937d93	328	void AliTrackFitterRieman::Update(){
98937d93	329	//
8849da04	330	//
98937d93	331	//
8849da04	332	fRieman->Update();
	333	fConv = kFALSE;
	334	if (fRieman->IsValid()){
	335	for (Int_t ipar=0; ipar<6; ipar++){
	336	fParams[ipar] = fRieman->GetParam()[ipar];
98937d93	337	}
8849da04	338	fChi2 = fRieman->GetChi2();
	339	fNdf = fRieman->GetN()- 2;
	340	fNUsed = fRieman->GetN();
	341	fConv = kTRUE;
98937d93	342	}
98937d93	343	}
98937d93	344
6b6cba33	345	//_____________________________________________________________________________
98937d93	346	Bool_t AliTrackFitterRieman::GetPCA(const AliTrackPoint &p, AliTrackPoint &p2) const
98937d93	347	{
6b6cba33	348	//
98937d93	349	// Get the closest to a given spacepoint track trajectory point
98937d93	350	// Look for details in the description of the Fit() method
6b6cba33	351	//
98937d93	352	if (!fConv) return kFALSE;
	353
	354	// First X and Y coordinates
	355	Double_t sin = TMath::Sin(fAlpha);
	356	Double_t cos = TMath::Cos(fAlpha);
	357	// fParam[0] = 1/y0
	358	// fParam[1] = -x0/y0
	359	// fParam[2] = - (R^2 - x0^2 - y0^2)/y0
	360	if (fParams[0] == 0) return kFALSE;
cc345ce3	361	// Track parameters in the global coordinate system
98937d93	362	Double_t x0 = -fParams[1]/fParams[0]cos - 1./fParams[0]sin;
	363	Double_t y0 = 1./fParams[0]cos - fParams[1]/fParams[0]sin;
	364	if ((-fParams[2]fParams[0]+fParams[1]fParams[1]+1) <= 0) return kFALSE;
6b6cba33	365	Double_t r = TMath::Sqrt(-fParams[2]fParams[0]+fParams[1]fParams[1]+1)/
98937d93	366	fParams[0];
98937d93	367
cc345ce3	368	// Define space-point refence plane
	369	Double_t alphap = p.GetAngle();
	370	Double_t sinp = TMath::Sin(alphap);
	371	Double_t cosp = TMath::Cos(alphap);
	372	Double_t x = p.GetX()cosp + p.GetY()sinp;
	373	Double_t y = p.GetY()cosp - p.GetX()sinp;
	374	Double_t x0p= x0cosp + y0sinp;
	375	Double_t y0p= y0cosp - x0sinp;
6b6cba33	376	if ((rr - (x-x0p)(x-x0p))<0) {
6b6cba33	377	AliWarning(Form("Track extrapolation failed ! (Track radius = %f, track circle x = %f, space-point x = %f, reference plane angle = %f\n",r,x0p,x,alphap));
24d4520d	378	return kFALSE;
24d4520d	379	}
6b6cba33	380	Double_t temp = TMath::Sqrt(rr - (x-x0p)(x-x0p));
cc345ce3	381	Double_t y1 = y0p + temp;
	382	Double_t y2 = y0p - temp;
	383	Double_t yprime = y1;
	384	if(TMath::Abs(y2-y) < TMath::Abs(y1-y)) yprime = y2;
	385
	386	// Back to the global coordinate system
	387	Double_t xsecond = xcosp - yprimesinp;
	388	Double_t ysecond = yprimecosp + xsinp;
	389
	390	// Now Z coordinate and track angles
	391	Double_t x2 = xsecondcos + ysecondsin;
	392	Double_t zsecond = GetZat(x2);
	393	Double_t dydx = GetDYat(x2);
	394	Double_t dzdx = GetDZat(x2);
	395
	396	// Fill the cov matrix of the track extrapolation point
	397	Double_t cov[6] = {0,0,0,0,0,0};
	398	Double_t sigmax = 100*100.;
	399	cov[0] = sigmax; cov[1] = sigmaxdydx; cov[2] = sigmaxdzdx;
	400	cov[3] = sigmaxdydxdydx; cov[4] = sigmaxdydxdzdx;
	401	cov[5] = sigmaxdzdxdzdx;
	402
	403	Float_t newcov[6];
	404	newcov[0] = cov[0]coscos-
	405	2cov[1]sin*cos+
	406	cov[3]sinsin;
	407	newcov[1] = cov[1](coscos-sin*sin)-
	408	(cov[3]-cov[0])sincos;
	409	newcov[2] = cov[2]*cos-
	410	cov[4]*sin;
	411	newcov[3] = cov[0]sinsin+
	412	2cov[1]sin*cos+
	413	cov[3]coscos;
	414	newcov[4] = cov[4]*cos+
	415	cov[2]*sin;
	416	newcov[5] = cov[5];
	417
	418	p2.SetXYZ(xsecond,ysecond,zsecond,newcov);
8849da04	419	if (AliLog::GetDebugLevel("","AliTrackFitterRieman")>1){
	420	AliTrackPoint lp0(p);
	421	AliTrackPoint lp2(p2);
	422	if (0)(*fDebugStream)<<"PCA"<<
	423	"P0.="<<&lp0<<
	424	"P2.="<<&lp2<<
	425	"\n";
	426	}
98937d93	427	return kTRUE;
98937d93	428	}