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

#include "AliParamSolver.h"
#include "AliSymMatrix.h"
#include "AliLog.h"
#include <TMath.h>

ClassImp(AliParamSolver)

//______________________________________________________________________________________
AliParamSolver::AliParamSolver()
: fMatrix(0),fSolGlo(0),fSolLoc(0),fMaxGlobal(0),fNGlobal(0),fNPoints(0),fMaxPoints(0),
  fRHSGlo(0),fRHSLoc(0),fMatGamma(0),fMatG(0),fCovDGl(0)
{ 
  // default constructor
}

//______________________________________________________________________________________
AliParamSolver::AliParamSolver(Int_t maxglo,Int_t locbuff)
: fMatrix(0),fSolGlo(0),fSolLoc(0),fMaxGlobal(maxglo),fNGlobal(maxglo),fNPoints(0),fMaxPoints(0),
  fRHSGlo(0),fRHSLoc(0),fMatGamma(0),fMatG(0),fCovDGl(0)
{ 
  // constructor for nglo globals
  Init(locbuff);
}

//______________________________________________________________________________________
AliParamSolver::AliParamSolver(AliParamSolver& src)
  : TObject(src),fMatrix(0),fSolGlo(0),fSolLoc(0),fMaxGlobal(src.fMaxGlobal),fNGlobal(src.fNGlobal),
    fNPoints(0),fMaxPoints(0),fRHSGlo(0),fRHSLoc(0),fMatGamma(0),fMatG(0),fCovDGl(0)
{ 
  // copy constructor 
  if (src.fMatrix) {
    Init(src.fMaxPoints);
    (*this) = src;
  }
}

//______________________________________________________________________________________
AliParamSolver& AliParamSolver::operator=(const AliParamSolver& src)
{
  // assignment operator
  if (this==&src) return *this;
  TObject::operator=(src);
  if (src.fMatrix && (fNGlobal!=src.fNGlobal || fMaxPoints<src.fNPoints)) {
    fNGlobal   = src.fNGlobal;
    fMaxGlobal = src.fMaxGlobal;
    if (fMatrix)   delete   fMatrix; fMatrix = 0;
    if (fSolGlo)   delete[] fSolGlo; fSolGlo = 0;
    if (fSolLoc)   delete[] fSolLoc; fSolLoc = 0;
    if (fRHSGlo)   delete[] fRHSGlo; fRHSGlo = 0;
    if (fRHSLoc)   delete[] fRHSLoc; fRHSLoc = 0;
    if (fMatGamma) delete[] fMatGamma; fMatGamma = 0;
    if (fMatG)     delete[] fMatG; fMatG = 0;
    if (fCovDGl)   delete[] fCovDGl; fCovDGl = 0;
    Init(src.fMaxPoints);
  }
  if (src.fMatrix) {
    (*fMatrix) = *(src.fMatrix);
    memcpy(fSolGlo,src.fSolGlo,fNGlobal*sizeof(double));
    memcpy(fSolLoc,src.fSolLoc,fNPoints*sizeof(double));
    memcpy(fRHSGlo,src.fRHSGlo,fNGlobal*sizeof(double));
    memcpy(fRHSLoc,src.fRHSLoc,fNPoints*sizeof(double));
    memcpy(fMatGamma,src.fMatGamma,fNPoints*sizeof(double));
    memcpy(fMatG,src.fMatG,fNPoints*fNGlobal*sizeof(double));
  }
  //
  return *this;
}

//______________________________________________________________________________________
AliParamSolver::~AliParamSolver()
{ 
  // destructor
  delete fMatrix;
  delete[] fSolGlo;
  delete[] fSolLoc;
  delete[] fRHSGlo;
  delete[] fRHSLoc;
  delete[] fMatGamma;
  delete[] fMatG;
  delete[] fCovDGl;
}

//______________________________________________________________________________________
Bool_t AliParamSolver::SolveGlobals(Bool_t obtainCov)
{
  if (fNPoints<fNGlobal/3) {
    AliError(Form("Number of points: %d is not enough for %d globals",fNPoints,fNGlobal));
    return kFALSE;
  }
  //
  if (!TestBit(kBitGloSol)) {
    if (!fMatrix->SolveChol(fRHSGlo, fSolGlo, obtainCov)) {
      AliError("Solution Failed");
      return kFALSE;
    }
    SetBit(kBitGloSol);
    if (obtainCov) SetBit(kBitCInv);
  }
  return kTRUE;
}

//______________________________________________________________________________________
Bool_t AliParamSolver::SolveLocals()
{
  const double kTiny = 1e-16;
  if (TestBit(kBitLocSol)) return kTRUE;
  if (!TestBit(kBitGloSol)) {
    AliError("Cannot solve for Locals before SolveGlobals is called");
    return kFALSE;
  }
  for (int i=fNPoints;i--;) {
    if (TMath::Abs(fMatGamma[i])<kTiny) {fSolLoc[i] = 0; continue;}
    double beta = fRHSLoc[i];
    double *mtG = fMatG + i*fNGlobal;  // G_i
    for (int j=fNGlobal;j--;) beta -= mtG[j]*fSolGlo[j];
    fSolLoc[i] = beta/fMatGamma[i];   // Gamma^-1 * (beta - G_i * a)
  }
  SetBit(kBitLocSol);
  return kTRUE;
}

//______________________________________________________________________________________
AliSymMatrix* AliParamSolver::GetCovMatrix()
{
  if (!TestBit(kBitGloSol)) {
    AliError("Cannot obtain Cov.Matrix before SolveGlobals is called");
    return 0;
  }
  if (TestBit(kBitCInv)) return fMatrix;
  //
  if (fMatrix->InvertChol()) {
    SetBit(kBitCInv);
    return fMatrix;
  }
  return 0;
}

//______________________________________________________________________________________
Bool_t AliParamSolver::Solve(Bool_t obtainCov)
{
  return (SolveGlobals(obtainCov) && SolveLocals()) ? kTRUE : kFALSE; 
}

//______________________________________________________________________________________
void AliParamSolver::AddEquation(const Double_t* dGl,const Double_t *dLc,const Double_t *res, const Double_t *covI,Double_t sclErrI)
{
  // add the measured point to chi2 normal equations
  // Input: 
  // dGl : NGlo x 3 matrix of derivative for each of the 3 coordinates vs global params
  // dLc : 3-vector of derivative for each coordinate vs local param
  // res : residual of the point (extrapolated - measured)
  // covI: 3 x (3+1)/2 matrix of the (inverted) errors (symmetric)
  // sclErrI: scaling coefficient to apply to inverted errors (used if >0)
  // The contribution of the point to chi2 is  V * covI * V 
  // with component of the vector V(i) = dGl[i]*glob + dLc[i]*loc - res[i] 
  //
  // Instead of the NGlo + NMeasPoints size matrix we create only NGlo size matrix using the 
  // reduction a la millepede : http://www.desy.de/~blobel/millepede1.ps
  const double kTiny = 1e-16;
  //
  if (fNPoints+1 == fMaxPoints) ExpandStorage((fNPoints+1)*2);
  ResetBit(kBitGloSol|kBitLocSol);
  //
  if (TestBit(kBitCInv)) { // solution was obtained and the matrix was inverted for previous points
    fMatrix->InvertChol();
    ResetBit(kBitCInv);
  }
  //
  double *mtG   = fMatG + fNPoints*fNGlobal;  // G_i
  double &beta  = fRHSLoc[fNPoints];
  double &gamma = fMatGamma[fNPoints];
  double cDl[3];
  //
  // cov * dR/dloc
  cDl[kX] = covI[kXX]*dLc[kX] + covI[kXY]*dLc[kY] + covI[kXZ]*dLc[kZ];
  cDl[kY] = covI[kXY]*dLc[kX] + covI[kYY]*dLc[kY] + covI[kYZ]*dLc[kZ];
  cDl[kZ] = covI[kXZ]*dLc[kX] + covI[kYZ]*dLc[kY] + covI[kZZ]*dLc[kZ];
  if (sclErrI>0) { cDl[kX] *= sclErrI; cDl[kY] *= sclErrI; cDl[kZ] *= sclErrI;}
  //
  for (int i=fNGlobal;i--;) {
    const double *dGli = dGl+i*3;  // derivatives of XYZ vs i-th global param
    double *cDgi = fCovDGl+i*3;    // cov * dR/dGl_i
    cDgi[kX] = covI[kXX]*dGli[kX] + covI[kXY]*dGli[kY] + covI[kXZ]*dGli[kZ];
    cDgi[kY] = covI[kXY]*dGli[kX] + covI[kYY]*dGli[kY] + covI[kYZ]*dGli[kZ];
    cDgi[kZ] = covI[kXZ]*dGli[kX] + covI[kYZ]*dGli[kY] + covI[kZZ]*dGli[kZ];
    if (sclErrI>0) { cDgi[kX] *= sclErrI; cDgi[kY] *= sclErrI; cDgi[kZ] *= sclErrI;}
    //
    mtG[i]   = cDl[kX]*dGli[kX] + cDl[kY]*dGli[kY] + cDl[kZ]*dGli[kZ];  // dR/dGl_i * cov * dR/dLoc
  }
  beta    = res[kX]*cDl[kX] + res[kY]*cDl[kY] + res[kZ]*cDl[kZ];  //RHS: res*cov*dR/dloc
  gamma   = dLc[kX]*cDl[kX] + dLc[kY]*cDl[kY] + dLc[kZ]*cDl[kZ];  //RHS: dR/dloc*cov*dR/dloc
  double locSol  = TMath::Abs(gamma)<kTiny ? 0. : beta/gamma;     //local solution: gamma^-1 beta
  //
  AliSymMatrix &matC = *fMatrix;
  for (int i=fNGlobal;i--;) {
    const double *cDgi = fCovDGl+i*3;    // cov * dR/dGl_i
    //
    fRHSGlo[i] += cDgi[kX]*res[kX] + cDgi[kY]*res[kY] + cDgi[kZ]*res[kZ]      // b_i = dR/dGi * cov * res
      -           mtG[i]*locSol;                                              //     - [G gamma^-1 beta ]_i
    //
    for (int j=i+1;j--;) {
      //      const double *cDgj = fCovDGl+j*3;  // cov * dR/dGl_j
      const double *dGlj = dGl+j*3;        // derivatives of XYZ vs i-th global param
      double add = dGlj[kX]*cDgi[kX] + dGlj[kY]*cDgi[kY] + dGlj[kZ]*cDgi[kZ];  // C_ij = dR/dGi * cov * dR/dGj
      if (TMath::Abs(gamma)>kTiny) add -= mtG[i]*mtG[j]/gamma;                 //        - [G gamma^-1 T(G) ]_ij      
      matC(i,j) += add;       
    }
  }
  //
  fNPoints++;
  //
}

//______________________________________________________________________________________
void AliParamSolver::AddConstraint(Int_t parID, Double_t val, Double_t err2inv)
{
  // add gassian constriant to parameter parID
  if (parID>=fNGlobal) {
    AliError(Form("Attempt to constraint non-existing parameter %d",parID));
    return;
  }
  //
  (*fMatrix)(parID,parID) += err2inv;
  fRHSGlo[parID] += val*err2inv;
  //
}

//______________________________________________________________________________________
void AliParamSolver::Init(Int_t npini)
{
  // create storage assuming maximum npini measured points
  fMatrix = new AliSymMatrix(fMaxGlobal);
  fSolGlo = new Double_t[fMaxGlobal];
  fRHSGlo = new Double_t[fMaxGlobal];
  //
  fCovDGl = new Double_t[3*fMaxGlobal];
  ExpandStorage(npini);
  fMatrix->SetSizeUsed(fNGlobal);
  //
}

//______________________________________________________________________________________
void AliParamSolver::ExpandStorage(Int_t newSize)
{
  // increase space to newSize measured points
  newSize = newSize>fMaxPoints ? newSize : fMaxPoints+1;
  double* tmp;
  tmp = new Double_t[newSize];
  if (fSolLoc) delete[] fSolLoc; 
  fSolLoc = tmp;
  //
  tmp = new Double_t[newSize];
  if (fMatGamma) {
    memcpy(tmp,fMatGamma,fNPoints*sizeof(Double_t));
    delete[] fMatGamma;
  }
  fMatGamma = tmp;
  //
  tmp = new Double_t[newSize];
  if (fRHSLoc) {
    memcpy(tmp,fRHSLoc,fNPoints*sizeof(Double_t));
    delete[] fRHSLoc;
  }
  fRHSLoc = tmp;
  //
  tmp = new Double_t[newSize*fMaxGlobal];
  if (fMatG) {
    memcpy(tmp,fMatG,fNPoints*fMaxGlobal*sizeof(Double_t));
    delete[] fMatG;
  }
  fMatG = tmp;
  //
  fMaxPoints = newSize;
  //
}

//______________________________________________________________________________________
void AliParamSolver::Clear(Option_t*)
{
  fNPoints = 0;
  fMatrix->Reset();
  for (int i=fNGlobal;i--;) fRHSGlo[i] = 0;
  ResetBit(kBitGloSol | kBitLocSol | kBitCInv);
}

//______________________________________________________________________________________
void AliParamSolver::Print(Option_t*) const
{
  AliInfo(Form("Solver with %d globals for %d points",fNGlobal,fNPoints));
}

//______________________________________________________________________________________
void AliParamSolver::SetNGlobal(Int_t n) 
{
  if (n>fMaxGlobal) {
    AliError(Form("Maximum number of globals was set to %d",fMaxGlobal));
    return;
  }
  fNGlobal = n;
  fMatrix->SetSizeUsed(fNGlobal);
}

//______________________________________________________________________________________
void AliParamSolver::SetMaxGlobal(Int_t n) 
{
  if (n>0 && n==fMaxGlobal) return;
  fMaxGlobal = n;
  fNGlobal = n;
  if (fMatrix)   delete   fMatrix;   fMatrix = 0;
  if (fSolGlo)   delete[] fSolGlo;   fSolGlo = 0;
  if (fSolLoc)   delete[] fSolLoc;   fSolLoc = 0;
  if (fRHSGlo)   delete[] fRHSGlo;   fRHSGlo = 0;
  if (fRHSLoc)   delete[] fRHSLoc;   fRHSLoc = 0;
  if (fMatGamma) delete[] fMatGamma; fMatGamma = 0;
  if (fMatG)     delete[] fMatG;     fMatG = 0;
  if (fCovDGl)   delete[] fCovDGl;   fCovDGl = 0;
  n = TMath::Max(16,fMaxPoints);
  Init(n);
  //
}
Commit	Line	Data
	1	#include "AliParamSolver.h"
	2	#include "AliSymMatrix.h"
	3	#include "AliLog.h"
	4	#include <TMath.h>
	5
	6	ClassImp(AliParamSolver)
	7
	8	//______________________________________________________________________________________
	9	AliParamSolver::AliParamSolver()
	10	: fMatrix(0),fSolGlo(0),fSolLoc(0),fMaxGlobal(0),fNGlobal(0),fNPoints(0),fMaxPoints(0),
	11	fRHSGlo(0),fRHSLoc(0),fMatGamma(0),fMatG(0),fCovDGl(0)
	12	{
	13	// default constructor
	14	}
	15
	16	//______________________________________________________________________________________
	17	AliParamSolver::AliParamSolver(Int_t maxglo,Int_t locbuff)
	18	: fMatrix(0),fSolGlo(0),fSolLoc(0),fMaxGlobal(maxglo),fNGlobal(maxglo),fNPoints(0),fMaxPoints(0),
	19	fRHSGlo(0),fRHSLoc(0),fMatGamma(0),fMatG(0),fCovDGl(0)
	20	{
	21	// constructor for nglo globals
	22	Init(locbuff);
	23	}
	24
	25	//______________________________________________________________________________________
	26	AliParamSolver::AliParamSolver(AliParamSolver& src)
	27	: TObject(src),fMatrix(0),fSolGlo(0),fSolLoc(0),fMaxGlobal(src.fMaxGlobal),fNGlobal(src.fNGlobal),
	28	fNPoints(0),fMaxPoints(0),fRHSGlo(0),fRHSLoc(0),fMatGamma(0),fMatG(0),fCovDGl(0)
	29	{
	30	// copy constructor
	31	if (src.fMatrix) {
	32	Init(src.fMaxPoints);
	33	(*this) = src;
	34	}
	35	}
	36
	37	//______________________________________________________________________________________
	38	AliParamSolver& AliParamSolver::operator=(const AliParamSolver& src)
	39	{
	40	// assignment operator
	41	if (this==&src) return *this;
	42	TObject::operator=(src);
	43	if (src.fMatrix && (fNGlobal!=src.fNGlobal \|\| fMaxPoints<src.fNPoints)) {
	44	fNGlobal = src.fNGlobal;
	45	fMaxGlobal = src.fMaxGlobal;
	46	if (fMatrix) delete fMatrix; fMatrix = 0;
	47	if (fSolGlo) delete[] fSolGlo; fSolGlo = 0;
	48	if (fSolLoc) delete[] fSolLoc; fSolLoc = 0;
	49	if (fRHSGlo) delete[] fRHSGlo; fRHSGlo = 0;
	50	if (fRHSLoc) delete[] fRHSLoc; fRHSLoc = 0;
	51	if (fMatGamma) delete[] fMatGamma; fMatGamma = 0;
	52	if (fMatG) delete[] fMatG; fMatG = 0;
	53	if (fCovDGl) delete[] fCovDGl; fCovDGl = 0;
	54	Init(src.fMaxPoints);
	55	}
	56	if (src.fMatrix) {
	57	(fMatrix) = (src.fMatrix);
	58	memcpy(fSolGlo,src.fSolGlo,fNGlobal*sizeof(double));
	59	memcpy(fSolLoc,src.fSolLoc,fNPoints*sizeof(double));
	60	memcpy(fRHSGlo,src.fRHSGlo,fNGlobal*sizeof(double));
	61	memcpy(fRHSLoc,src.fRHSLoc,fNPoints*sizeof(double));
	62	memcpy(fMatGamma,src.fMatGamma,fNPoints*sizeof(double));
	63	memcpy(fMatG,src.fMatG,fNPointsfNGlobalsizeof(double));
	64	}
	65	//
	66	return *this;
	67	}
	68
	69	//______________________________________________________________________________________
	70	AliParamSolver::~AliParamSolver()
	71	{
	72	// destructor
	73	delete fMatrix;
	74	delete[] fSolGlo;
	75	delete[] fSolLoc;
	76	delete[] fRHSGlo;
	77	delete[] fRHSLoc;
	78	delete[] fMatGamma;
	79	delete[] fMatG;
	80	delete[] fCovDGl;
	81	}
	82
	83	//______________________________________________________________________________________
	84	Bool_t AliParamSolver::SolveGlobals(Bool_t obtainCov)
	85	{
	86	if (fNPoints<fNGlobal/3) {
	87	AliError(Form("Number of points: %d is not enough for %d globals",fNPoints,fNGlobal));
	88	return kFALSE;
	89	}
	90	//
	91	if (!TestBit(kBitGloSol)) {
	92	if (!fMatrix->SolveChol(fRHSGlo, fSolGlo, obtainCov)) {
	93	AliError("Solution Failed");
	94	return kFALSE;
	95	}
	96	SetBit(kBitGloSol);
	97	if (obtainCov) SetBit(kBitCInv);
	98	}
	99	return kTRUE;
	100	}
	101
	102	//______________________________________________________________________________________
	103	Bool_t AliParamSolver::SolveLocals()
	104	{
	105	const double kTiny = 1e-16;
	106	if (TestBit(kBitLocSol)) return kTRUE;
	107	if (!TestBit(kBitGloSol)) {
	108	AliError("Cannot solve for Locals before SolveGlobals is called");
	109	return kFALSE;
	110	}
	111	for (int i=fNPoints;i--;) {
	112	if (TMath::Abs(fMatGamma[i])<kTiny) {fSolLoc[i] = 0; continue;}
	113	double beta = fRHSLoc[i];
	114	double mtG = fMatG + ifNGlobal; // G_i
	115	for (int j=fNGlobal;j--;) beta -= mtG[j]*fSolGlo[j];
	116	fSolLoc[i] = beta/fMatGamma[i]; // Gamma^-1 * (beta - G_i * a)
	117	}
	118	SetBit(kBitLocSol);
	119	return kTRUE;
	120	}
	121
	122	//______________________________________________________________________________________
	123	AliSymMatrix* AliParamSolver::GetCovMatrix()
	124	{
	125	if (!TestBit(kBitGloSol)) {
	126	AliError("Cannot obtain Cov.Matrix before SolveGlobals is called");
	127	return 0;
	128	}
	129	if (TestBit(kBitCInv)) return fMatrix;
	130	//
	131	if (fMatrix->InvertChol()) {
	132	SetBit(kBitCInv);
	133	return fMatrix;
	134	}
	135	return 0;
	136	}
	137
	138	//______________________________________________________________________________________
	139	Bool_t AliParamSolver::Solve(Bool_t obtainCov)
	140	{
	141	return (SolveGlobals(obtainCov) && SolveLocals()) ? kTRUE : kFALSE;
	142	}
	143
	144	//______________________________________________________________________________________
	145	void AliParamSolver::AddEquation(const Double_t* dGl,const Double_t dLc,const Double_t res, const Double_t *covI,Double_t sclErrI)
	146	{
	147	// add the measured point to chi2 normal equations
	148	// Input:
	149	// dGl : NGlo x 3 matrix of derivative for each of the 3 coordinates vs global params
	150	// dLc : 3-vector of derivative for each coordinate vs local param
	151	// res : residual of the point (extrapolated - measured)
	152	// covI: 3 x (3+1)/2 matrix of the (inverted) errors (symmetric)
	153	// sclErrI: scaling coefficient to apply to inverted errors (used if >0)
	154	// The contribution of the point to chi2 is V * covI * V
	155	// with component of the vector V(i) = dGl[i]glob + dLc[i]loc - res[i]
	156	//
	157	// Instead of the NGlo + NMeasPoints size matrix we create only NGlo size matrix using the
	158	// reduction a la millepede : http://www.desy.de/~blobel/millepede1.ps
	159	const double kTiny = 1e-16;
	160	//
	161	if (fNPoints+1 == fMaxPoints) ExpandStorage((fNPoints+1)*2);
	162	ResetBit(kBitGloSol\|kBitLocSol);
	163	//
	164	if (TestBit(kBitCInv)) { // solution was obtained and the matrix was inverted for previous points
	165	fMatrix->InvertChol();
	166	ResetBit(kBitCInv);
	167	}
	168	//
	169	double mtG = fMatG + fNPointsfNGlobal; // G_i
	170	double &beta = fRHSLoc[fNPoints];
	171	double &gamma = fMatGamma[fNPoints];
	172	double cDl[3];
	173	//
	174	// cov * dR/dloc
	175	cDl[kX] = covI[kXX]dLc[kX] + covI[kXY]dLc[kY] + covI[kXZ]*dLc[kZ];
	176	cDl[kY] = covI[kXY]dLc[kX] + covI[kYY]dLc[kY] + covI[kYZ]*dLc[kZ];
	177	cDl[kZ] = covI[kXZ]dLc[kX] + covI[kYZ]dLc[kY] + covI[kZZ]*dLc[kZ];
	178	if (sclErrI>0) { cDl[kX] = sclErrI; cDl[kY] = sclErrI; cDl[kZ] *= sclErrI;}
	179	//
	180	for (int i=fNGlobal;i--;) {
	181	const double dGli = dGl+i3; // derivatives of XYZ vs i-th global param
	182	double cDgi = fCovDGl+i3; // cov * dR/dGl_i
	183	cDgi[kX] = covI[kXX]dGli[kX] + covI[kXY]dGli[kY] + covI[kXZ]*dGli[kZ];
	184	cDgi[kY] = covI[kXY]dGli[kX] + covI[kYY]dGli[kY] + covI[kYZ]*dGli[kZ];
	185	cDgi[kZ] = covI[kXZ]dGli[kX] + covI[kYZ]dGli[kY] + covI[kZZ]*dGli[kZ];
	186	if (sclErrI>0) { cDgi[kX] = sclErrI; cDgi[kY] = sclErrI; cDgi[kZ] *= sclErrI;}
	187	//
	188	mtG[i] = cDl[kX]dGli[kX] + cDl[kY]dGli[kY] + cDl[kZ]dGli[kZ]; // dR/dGl_i cov * dR/dLoc
	189	}
	190	beta = res[kX]cDl[kX] + res[kY]cDl[kY] + res[kZ]cDl[kZ]; //RHS: rescov*dR/dloc
	191	gamma = dLc[kX]cDl[kX] + dLc[kY]cDl[kY] + dLc[kZ]cDl[kZ]; //RHS: dR/dloccov*dR/dloc
	192	double locSol = TMath::Abs(gamma)<kTiny ? 0. : beta/gamma; //local solution: gamma^-1 beta
	193	//
	194	AliSymMatrix &matC = *fMatrix;
	195	for (int i=fNGlobal;i--;) {
	196	const double cDgi = fCovDGl+i3; // cov * dR/dGl_i
	197	//
	198	fRHSGlo[i] += cDgi[kX]res[kX] + cDgi[kY]res[kY] + cDgi[kZ]res[kZ] // b_i = dR/dGi cov * res
	199	- mtG[i]*locSol; // - [G gamma^-1 beta ]_i
	200	//
	201	for (int j=i+1;j--;) {
	202	// const double cDgj = fCovDGl+j3; // cov * dR/dGl_j
	203	const double dGlj = dGl+j3; // derivatives of XYZ vs i-th global param
	204	double add = dGlj[kX]cDgi[kX] + dGlj[kY]cDgi[kY] + dGlj[kZ]cDgi[kZ]; // C_ij = dR/dGi cov * dR/dGj
	205	if (TMath::Abs(gamma)>kTiny) add -= mtG[i]*mtG[j]/gamma; // - [G gamma^-1 T(G) ]_ij
	206	matC(i,j) += add;
	207	}
	208	}
	209	//
	210	fNPoints++;
	211	//
	212	}
	213
	214	//______________________________________________________________________________________
	215	void AliParamSolver::AddConstraint(Int_t parID, Double_t val, Double_t err2inv)
	216	{
	217	// add gassian constriant to parameter parID
	218	if (parID>=fNGlobal) {
	219	AliError(Form("Attempt to constraint non-existing parameter %d",parID));
	220	return;
	221	}
	222	//
	223	(*fMatrix)(parID,parID) += err2inv;
	224	fRHSGlo[parID] += val*err2inv;
	225	//
	226	}
	227
	228	//______________________________________________________________________________________
	229	void AliParamSolver::Init(Int_t npini)
	230	{
	231	// create storage assuming maximum npini measured points
	232	fMatrix = new AliSymMatrix(fMaxGlobal);
	233	fSolGlo = new Double_t[fMaxGlobal];
	234	fRHSGlo = new Double_t[fMaxGlobal];
	235	//
	236	fCovDGl = new Double_t[3*fMaxGlobal];
	237	ExpandStorage(npini);
	238	fMatrix->SetSizeUsed(fNGlobal);
	239	//
	240	}
	241
	242	//______________________________________________________________________________________
	243	void AliParamSolver::ExpandStorage(Int_t newSize)
	244	{
	245	// increase space to newSize measured points
	246	newSize = newSize>fMaxPoints ? newSize : fMaxPoints+1;
	247	double* tmp;
	248	tmp = new Double_t[newSize];
	249	if (fSolLoc) delete[] fSolLoc;
	250	fSolLoc = tmp;
	251	//
	252	tmp = new Double_t[newSize];
	253	if (fMatGamma) {
	254	memcpy(tmp,fMatGamma,fNPoints*sizeof(Double_t));
	255	delete[] fMatGamma;
	256	}
	257	fMatGamma = tmp;
	258	//
	259	tmp = new Double_t[newSize];
	260	if (fRHSLoc) {
	261	memcpy(tmp,fRHSLoc,fNPoints*sizeof(Double_t));
	262	delete[] fRHSLoc;
	263	}
	264	fRHSLoc = tmp;
	265	//
	266	tmp = new Double_t[newSize*fMaxGlobal];
	267	if (fMatG) {
	268	memcpy(tmp,fMatG,fNPointsfMaxGlobalsizeof(Double_t));
	269	delete[] fMatG;
	270	}
	271	fMatG = tmp;
	272	//
	273	fMaxPoints = newSize;
	274	//
	275	}
	276
	277	//______________________________________________________________________________________
	278	void AliParamSolver::Clear(Option_t*)
	279	{
	280	fNPoints = 0;
	281	fMatrix->Reset();
	282	for (int i=fNGlobal;i--;) fRHSGlo[i] = 0;
	283	ResetBit(kBitGloSol \| kBitLocSol \| kBitCInv);
	284	}
	285
	286	//______________________________________________________________________________________
	287	void AliParamSolver::Print(Option_t*) const
	288	{
	289	AliInfo(Form("Solver with %d globals for %d points",fNGlobal,fNPoints));
	290	}
	291
	292	//______________________________________________________________________________________
	293	void AliParamSolver::SetNGlobal(Int_t n)
	294	{
	295	if (n>fMaxGlobal) {
	296	AliError(Form("Maximum number of globals was set to %d",fMaxGlobal));
	297	return;
	298	}
	299	fNGlobal = n;
	300	fMatrix->SetSizeUsed(fNGlobal);
	301	}
	302
	303	//______________________________________________________________________________________
	304	void AliParamSolver::SetMaxGlobal(Int_t n)
	305	{
	306	if (n>0 && n==fMaxGlobal) return;
	307	fMaxGlobal = n;
	308	fNGlobal = n;
	309	if (fMatrix) delete fMatrix; fMatrix = 0;
	310	if (fSolGlo) delete[] fSolGlo; fSolGlo = 0;
	311	if (fSolLoc) delete[] fSolLoc; fSolLoc = 0;
	312	if (fRHSGlo) delete[] fRHSGlo; fRHSGlo = 0;
	313	if (fRHSLoc) delete[] fRHSLoc; fRHSLoc = 0;
	314	if (fMatGamma) delete[] fMatGamma; fMatGamma = 0;
	315	if (fMatG) delete[] fMatG; fMatG = 0;
	316	if (fCovDGl) delete[] fCovDGl; fCovDGl = 0;
	317	n = TMath::Max(16,fMaxPoints);
	318	Init(n);
	319	//
	320	}
	321