AliMultiDimVector.cxx

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/**************************************************************************
 * Copyright(c) 2007-2009, 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.                  *
 **************************************************************************/

/* $Id$ */

//                                                               //
// Implementation of the class to store the number of signal     //
// and background events in bins of the cut values               //
// Origin:       Elena Bruna (bruna@to.infn.it)                  //
// Updated:      Sergey Senyukov (senyukov@to.infn.it)           //
//               Francesco Prino (prino@to.infn.it)              //
// Last Updated: Giacomo Ortona (ortona@to.infn.it)              //
//                                                               //

#include <fstream>
#include <Riostream.h>
#include "TH2.h"
#include "AliMultiDimVector.h"
#include "AliLog.h"
#include "TString.h"

using std::cout;
using std::endl;

ClassImp(AliMultiDimVector);

//___________________________________________________________________________
AliMultiDimVector::AliMultiDimVector():TNamed("AliMultiDimVector","default"),
fNVariables(0),
fNPtBins(0),
fVett(0),
fNTotCells(0),
fIsIntegrated(0)
{
  // default constructor

  for(Int_t i=0; i<fgkMaxNVariables; i++) {
    fNCutSteps[i]=0;
    fMinLimits[i]=0;
    fMaxLimits[i]=0;
    fGreaterThan[i]=kTRUE;
    fAxisTitles[i]="";
  }
  for(Int_t i=0; i<fgkMaxNPtBins+1; i++) {
    fPtLimits[i]=0;
  }
}
//___________________________________________________________________________
AliMultiDimVector::AliMultiDimVector(const char *name,const char *title, const Int_t nptbins, const Float_t* ptlimits, const Int_t npars,  const Int_t *nofcells,const Float_t *loosecuts, const Float_t *tightcuts, const TString *axisTitles):TNamed(name,title),
fNVariables(npars),
fNPtBins(nptbins),
fVett(0),
fNTotCells(0),
fIsIntegrated(0){
// standard constructor

  for(Int_t i=0; i<fgkMaxNVariables; i++) {
    fNCutSteps[i]=0;
    fMinLimits[i]=0;
    fMaxLimits[i]=0;
    fGreaterThan[i]=kTRUE;
    fAxisTitles[i]="";
  }
  for(Int_t i=0; i<fgkMaxNPtBins+1; i++) {
    fPtLimits[i]=0;
  }

  ULong64_t ntot=1; 
  for(Int_t i=0;i<fNVariables;i++){
    ntot*=nofcells[i];
    fNCutSteps[i]=nofcells[i];
    if(loosecuts[i] == tightcuts[i]){
      if(loosecuts[i]!=0){
  printf("AliMultiDimVector::AliMultiDimVector: WARNING! same tight/loose variable for variable number %d. AliMultiDimVector with run with the following values: loose: %f; tight: %f\n",i,tightcuts[i]-0.1*tightcuts[i],tightcuts[i]);
  fMinLimits[i]=tightcuts[i]-0.1*tightcuts[i];
  fMaxLimits[i]=tightcuts[i];
      }else{
  fMinLimits[i]=0;
  fMaxLimits[i]=0.0001;
      }
  fGreaterThan[i]=kTRUE;
    }
    if(loosecuts[i] < tightcuts[i]){
      fMinLimits[i]=loosecuts[i];
      fMaxLimits[i]=tightcuts[i];
      fGreaterThan[i]=kTRUE;
    }else{
      fMinLimits[i]=tightcuts[i];
      fMaxLimits[i]=loosecuts[i];
      fGreaterThan[i]=kFALSE;
    }
    fAxisTitles[i]=axisTitles[i].Data();
  }
  fNTotCells=ntot*fNPtBins;  
  fVett.Set(fNTotCells); 
  for(Int_t ipt=0;ipt<fNPtBins+1;ipt++) fPtLimits[ipt]=ptlimits[ipt];
  for(Int_t ipt=fNPtBins+1;ipt<fgkMaxNPtBins+1;ipt++) fPtLimits[ipt]=999.;
  for (ULong64_t j=0;j<fNTotCells;j++) fVett.AddAt(0,j);
}
//___________________________________________________________________________
AliMultiDimVector::AliMultiDimVector(const AliMultiDimVector &mv):TNamed(mv.GetName(),mv.GetTitle()),
fNVariables(mv.fNVariables),
fNPtBins(mv.fNPtBins),
fVett(0),
fNTotCells(mv.fNTotCells),
fIsIntegrated(mv.fIsIntegrated)
{
  // copy constructor

  for(Int_t i=0; i<fgkMaxNVariables; i++) {
    fNCutSteps[i]=0;
    fMinLimits[i]=0;
    fMaxLimits[i]=0;
    fGreaterThan[i]=kTRUE;
    fAxisTitles[i]="";
  }
  for(Int_t i=0; i<fgkMaxNPtBins+1; i++) {
    fPtLimits[i]=0;
  }


  for(Int_t i=0;i<fNVariables;i++){
    fNCutSteps[i]=mv.GetNCutSteps(i);
    fMinLimits[i]=mv.GetMinLimit(i);
    fMaxLimits[i]=mv.GetMaxLimit(i);
    fGreaterThan[i]=mv.GetGreaterThan(i);
    fAxisTitles[i]=mv.GetAxisTitle(i);
  }
  fVett.Set(fNTotCells); 
  
  for(Int_t ipt=0;ipt<fNPtBins+1;ipt++) fPtLimits[ipt]=mv.GetPtLimit(ipt);
  for(ULong64_t i=0;i<fNTotCells;i++) fVett[i]=mv.GetElement(i);
}
//___________________________________________________________________________
AliMultiDimVector &AliMultiDimVector::operator=(const AliMultiDimVector &mv)
{
  // assignment operator

  if(&mv == this) return *this;

  TNamed::operator=(mv);

  fNVariables=mv.fNVariables;
  fNPtBins=mv.fNPtBins;
  fNTotCells=mv.fNTotCells;
  fIsIntegrated=mv.fIsIntegrated;


  for(Int_t i=0; i<fgkMaxNVariables; i++) {
    fNCutSteps[i]=0;
    fMinLimits[i]=0;
    fMaxLimits[i]=0;
    fGreaterThan[i]=kTRUE;
    fAxisTitles[i]="";
  }
  for(Int_t i=0; i<fgkMaxNPtBins+1; i++) {
    fPtLimits[i]=0;
  }


  for(Int_t i=0;i<fNVariables;i++){
    fNCutSteps[i]=mv.GetNCutSteps(i);
    fMinLimits[i]=mv.GetMinLimit(i);
    fMaxLimits[i]=mv.GetMaxLimit(i);
    fGreaterThan[i]=mv.GetGreaterThan(i);
    fAxisTitles[i]=mv.GetAxisTitle(i);
  }
  fVett.Set(fNTotCells); 
  
  for(Int_t ipt=0;ipt<fNPtBins+1;ipt++) fPtLimits[ipt]=mv.GetPtLimit(ipt);
  for(ULong64_t i=0;i<fNTotCells;i++) fVett[i]=mv.GetElement(i);

  return *this;
}
//___________________________________________________________________________
void AliMultiDimVector::CopyStructure(const AliMultiDimVector* mv){
// Sets dimensions and limit from mv
  fNVariables=mv->GetNVariables();
  fNPtBins=mv->GetNPtBins();
  fNTotCells=mv->GetNTotCells();
  fIsIntegrated=mv->IsIntegrated();
  for(Int_t i=0;i<fNVariables;i++){
    fNCutSteps[i]=mv->GetNCutSteps(i);
    fMinLimits[i]=mv->GetMinLimit(i);
    fMaxLimits[i]=mv->GetMaxLimit(i);
    fGreaterThan[i]=mv->GetGreaterThan(i);
    fAxisTitles[i]=mv->GetAxisTitle(i);
  }
  for(Int_t ipt=0;ipt<fNPtBins+1;ipt++) fPtLimits[ipt]=mv->GetPtLimit(ipt);
  fVett.Set(fNTotCells);  
}
//______________________________________________________________________
Bool_t AliMultiDimVector::GetIndicesFromGlobalAddress(ULong64_t globadd, Int_t *ind, Int_t &ptbin) const {
// returns matrix element indices and Pt bin from global index
  if(globadd>=fNTotCells) return kFALSE;
  ULong64_t r=globadd;
  Int_t prod=1;
  Int_t nOfCellsPlusLevel[fgkMaxNVariables+1];
  for(Int_t k=0;k<fNVariables;k++) nOfCellsPlusLevel[k]=fNCutSteps[k];
  nOfCellsPlusLevel[fNVariables]=fNPtBins;
  
  for(Int_t i=0;i<fNVariables+1;i++) prod*=nOfCellsPlusLevel[i];
  for(Int_t i=0;i<fNVariables+1;i++){
    prod/=nOfCellsPlusLevel[i];
    if(i<fNVariables) ind[i]=r/prod;
    else ptbin=r/prod;
    r=globadd%prod;
  }
  return kTRUE;
}
//______________________________________________________________________
Bool_t AliMultiDimVector::GetCutValuesFromGlobalAddress(ULong64_t globadd, Float_t *cuts, Int_t &ptbin) const {
  Int_t ind[fgkMaxNVariables];
  Bool_t retcode=GetIndicesFromGlobalAddress(globadd,ind,ptbin);
  if(!retcode) return kFALSE;
  for(Int_t i=0;i<fNVariables;i++) cuts[i]=GetCutValue(i,ind[i]);
  return kTRUE;
}
//______________________________________________________________________
ULong64_t AliMultiDimVector::GetGlobalAddressFromIndices(const Int_t *ind, Int_t ptbin) const {
  // Returns the global index of the cell in the matrix
  Int_t prod=1;
  ULong64_t elem=0;
  Int_t indexPlusLevel[fgkMaxNVariables+1];
  Int_t nOfCellsPlusLevel[fgkMaxNVariables+1];
  for(Int_t i=0;i<fNVariables;i++){
    indexPlusLevel[i]=ind[i];
    nOfCellsPlusLevel[i]=fNCutSteps[i];
  }
  indexPlusLevel[fNVariables]=ptbin;
  nOfCellsPlusLevel[fNVariables]=fNPtBins;
  
  for(Int_t i=0;i<fNVariables+1;i++){
    prod=indexPlusLevel[i];
    if(i<fNVariables){
      for(Int_t j=i+1;j<fNVariables+1;j++){
  prod*=nOfCellsPlusLevel[j];
      }
    }
    elem+=prod;
  }
  return elem;
}
//______________________________________________________________________
Bool_t AliMultiDimVector::GetIndicesFromValues(const Float_t *values, Int_t *ind) const {
  // Fills the array of matrix indices strating from variable values
  for(Int_t i=0;i<fNVariables;i++){
    if(fGreaterThan[i]){ 
      if(values[i]<GetMinLimit(i)) return kFALSE;
      ind[i]=(Int_t)((values[i]-fMinLimits[i])/GetCutStep(i));
      if(ind[i]>=GetNCutSteps(i)) ind[i]=GetNCutSteps(i)-1;
    }else{
      if(values[i]>GetMaxLimit(i)) return kFALSE;
      ind[i]=(Int_t)((fMaxLimits[i]-values[i])/GetCutStep(i));
      if(ind[i]>=GetNCutSteps(i)) ind[i]=GetNCutSteps(i)-1;
    }
  }
  return kTRUE;
}
//______________________________________________________________________
ULong64_t AliMultiDimVector::GetGlobalAddressFromValues(const Float_t *values, Int_t ptbin) const {
  // Returns the global index of the cell in the matrix
   Int_t ind[fgkMaxNVariables];
   Bool_t retcode=GetIndicesFromValues(values,ind);
   if(retcode) return GetGlobalAddressFromIndices(ind,ptbin);
   else{
     AliError("Values out of range");
     return fNTotCells+999;
   }
}
//_____________________________________________________________________________
void AliMultiDimVector::MultiplyBy(Float_t factor){
  // multiply the AliMultiDimVector by a constant factor
  for(ULong64_t i=0;i<fNTotCells;i++){
    if(fVett.At(i)>0.)
      fVett.AddAt(fVett.At(i)*factor,i);
    else fVett.AddAt(-1,i);
  }
  
}
//_____________________________________________________________________________
void AliMultiDimVector::Multiply(const AliMultiDimVector* mv,Float_t factor){
  //  Sets AliMultiDimVector=mv*constant factor
  for(ULong64_t i=0;i<fNTotCells;i++){
    if(mv->GetElement(i)>0.)
      fVett.AddAt(mv->GetElement(i)*factor,i);
    else fVett.AddAt(-1,i); 
  }
}
//_____________________________________________________________________________
void AliMultiDimVector::Multiply(const AliMultiDimVector* mv1, const AliMultiDimVector* mv2){
  //  Sets AliMultiDimVector=mv1*mv2
  for(ULong64_t i=0;i<fNTotCells;i++){
    if(mv1->GetElement(i)>0. && mv2->GetElement(i)>0.)
      fVett.AddAt(mv1->GetElement(i)*mv2->GetElement(i),i);
    else fVett.AddAt(-1,i); 
  }
}
//_____________________________________________________________________________
void AliMultiDimVector::Add(const AliMultiDimVector* mv){
  // Sums contents of mv to AliMultiDimVector
  if (mv->GetNTotCells()!=fNTotCells){ 
    AliError("Different dimension of the vectors!!");
  }else{
    for(ULong64_t i=0;i<fNTotCells;i++) 
      if(mv->GetElement(i)>0. && fVett.At(i)>0.)
  fVett.AddAt(fVett.At(i)+mv->GetElement(i),i);
      else fVett.AddAt(-1,i); 
  }
}
//_____________________________________________________________________________
void AliMultiDimVector::Sum(const AliMultiDimVector* mv1, const AliMultiDimVector* mv2){
  // Sets AliMultiDimVector=mv1+mv2
  if (fNTotCells!=mv1->GetNTotCells()&&mv1->GetNTotCells()!=mv2->GetNTotCells()) {
    AliError("Different dimension of the vectors!!");
  }
  else{
    for(ULong64_t i=0;i<mv1->GetNTotCells();i++) {
      if(mv1->GetElement(i)>0. && mv2->GetElement(i)>0.)
  fVett.AddAt(mv1->GetElement(i)+mv2->GetElement(i),i); 
      else fVett.AddAt(-1,i); 
    }
  }
}
//_____________________________________________________________________________
void AliMultiDimVector::LinearComb(const AliMultiDimVector* mv1, Float_t norm1, const AliMultiDimVector* mv2, Float_t norm2){
  // Sets AliMultiDimVector=n1*mv1+n2*mv2
  if (fNTotCells!=mv1->GetNTotCells()&&mv1->GetNTotCells()!=mv2->GetNTotCells()) {
    AliError("Different dimension of the vectors!!");
  }
  else{
    for(ULong64_t i=0;i<mv1->GetNTotCells();i++) {
      if(mv1->GetElement(i)>0. && mv2->GetElement(i)>0.)
  fVett.AddAt(norm1*mv1->GetElement(i)+norm2*mv2->GetElement(i),i); 
      else fVett.AddAt(-1,i); 
    }
  }
}
//_____________________________________________________________________________
void AliMultiDimVector::DivideBy(const AliMultiDimVector* mv){
  // Divide AliMulivector by mv
  if (mv->GetNTotCells()!=fNTotCells) {
    AliError("Different dimension of the vectors!!");
  }
  else{
    for(ULong64_t i=0;i<fNTotCells;i++) 
      if(mv->GetElement(i)!=0 &&mv->GetElement(i)>0. && fVett.At(i)>0.)
  fVett.AddAt(fVett.At(i)/mv->GetElement(i),i);
      else fVett.AddAt(-1,i);
  }

}
//_____________________________________________________________________________
void AliMultiDimVector::Divide(const AliMultiDimVector* mv1, const AliMultiDimVector* mv2){
  // Sets AliMultiDimVector=mv1/mv2
  if (fNTotCells!=mv1->GetNTotCells()&&mv1->GetNTotCells()!=mv2->GetNTotCells()) {
    AliError("Different dimension of the vectors!!");
  }
  else{
    for(ULong64_t i=0;i<mv1->GetNTotCells();i++) 
      if(mv2->GetElement(i)!=0&& mv2->GetElement(i)>0.&& mv1->GetElement(i)>0.)
  {
    fVett.AddAt(mv1->GetElement(i)/mv2->GetElement(i),i);
  }
      else fVett.AddAt(-1,i);
  }
}
//_____________________________________________________________________________
void AliMultiDimVector::Sqrt(){
  // Sqrt of elements of AliMultiDimVector
  for(ULong64_t i=0;i<fNTotCells;i++) {
    if(fVett.At(i)>=0) fVett.AddAt(TMath::Sqrt(fVett.At(i)),i);
    else {
      fVett.AddAt(-1,i);
    }
  }
}
//_____________________________________________________________________________
void AliMultiDimVector::Sqrt(const AliMultiDimVector* mv){
  // Sets AliMultiDimVector=sqrt(mv)
  for(ULong64_t i=0;i<fNTotCells;i++) 
    if(mv->GetElement(i)>=0) fVett.AddAt(TMath::Sqrt(mv->GetElement(i)),i);
    else fVett.AddAt(-1,i);
}
//_____________________________________________________________________________
void AliMultiDimVector::FindMaximum(Float_t& maxValue, Int_t *ind , Int_t ptbin){
  // finds the element with maximum contents
  const ULong64_t nelem=fNTotCells/fNPtBins;
  TArrayF vett;
  vett.Set(nelem);
  ULong64_t runningAddress;
  for(ULong64_t i=0;i<nelem;i++){
    runningAddress=ptbin+i*fNPtBins;
    vett.AddAt(fVett[runningAddress],i);
  }
  maxValue=TMath::MaxElement(nelem,vett.GetArray());
  ULong64_t maxAddress=TMath::LocMax(nelem,vett.GetArray());
  ULong64_t maxGlobalAddress=ptbin+maxAddress*fNPtBins;
  Int_t checkedptbin;
  GetIndicesFromGlobalAddress(maxGlobalAddress,ind,checkedptbin);
}

//_____________________________________________________________________________
//Int_t* AliMultiDimVector::FindLocalMaximum(Float_t& maxValue, Bool_t *isFree,Int_t* indFixed, Int_t ptbin){
Int_t* AliMultiDimVector::FindLocalMaximum(Float_t& maxValue, Int_t *numFixed,Int_t* indFixed, Int_t nfixed,Int_t ptbin){
  //return the elements with maximum content (maxValue) given fixed step for not free variables
  //numFixed[nfixed] is the indices of the fixed variables in the cuts array [fNVariables]={kTRUE,kTRUE,...,kFALSE,...,kFALSE,...,kTRUE}
  //indFixed[nfixed]={1,2} //nfixed is the number of false in isFree; indFixed contains the step for the i-th variable

  //  Int_t nfixed=0,nfree=0;
  //Int_t indtmp[fNVariables];
  if(nfixed>fNVariables)cout<<"AliMultiDimVector::FindLocalMaximum:ERROR! too many variables"<<endl;
  ULong64_t nelem=1;
  Int_t* indMax=new Int_t[fNVariables];
  //Get the number of fixed vars
  /*
  for (Int_t iv=0;iv<fNVariables;iv++){
    if(isFree[iv]){
      nfree++;
      nelem*=fNCutSteps[iv];
      indMax[iv]=0;
    }
    else {
      indMax[iv]=indFixed[nfixed];
      if(indFixed[nfixed]>=GetNCutSteps(iv)){
  indMax[iv]=0;
  cout<<"AliMultiDimVector::FindLocalMaximum:ERROR! called fixed ind "<< indFixed[nfixed]<<"  but "<<iv<<" var has only "<<GetNCutSteps(iv)<<" steps"<<endl;
      }
      nfixed++;
    }
  }
  */
  for (Int_t iv=0;iv<fNVariables;iv++)indMax[iv]=0;
  for(Int_t i=0;i<nfixed;i++){
    indMax[numFixed[i]]=indFixed[i];
  }
  //Get position of fixed vars
  /*
  Int_t fixedIndexes[nfixed];
  Int_t iforfixed=0;
  for (Int_t iv=0;iv<fNVariables;iv++){
    if(!isFree[iv]){
      fixedIndexes[iforfixed]=iv;
      iforfixed++;
    }
  }
  */
  TArrayF vett;
  vett.Set(nelem);

  ULong64_t first=fNTotCells/fNPtBins*ptbin;
  ULong64_t last=first+fNTotCells/fNPtBins;
  Int_t dummyptbin;

  maxValue=fVett[GetGlobalAddressFromIndices(indMax,ptbin)];
  Int_t tmpInd[fNVariables];

  //loop on multidimvector global addresses
  for(ULong64_t iga=first;iga<last;iga++){
    GetIndicesFromGlobalAddress(iga,tmpInd,dummyptbin);
    Bool_t goodCell=kTRUE;
    for(Int_t ifix=0;ifix<nfixed&&goodCell;ifix++){
      //      if(indFixed[ifix]!=indMax[fixedIndexes[ifix]])goodCell=kFALSE;
      if(indFixed[ifix]!=tmpInd[numFixed[ifix]])goodCell=kFALSE;
    }
    if(goodCell){
      if(fVett[iga]>maxValue){
  maxValue=fVett[iga];
  //  GetIndicesFromGlobalAddress(iga,indMax,dummyptbin);
  for(Int_t inv=0;inv<fNVariables;inv++)indMax[inv]=tmpInd[inv];
      }
    }
  }

  return indMax;
}

//_____________________________________________________________________________
TH2F*  AliMultiDimVector::Project(Int_t firstVar, Int_t secondVar, const Int_t* fixedVars, Int_t ptbin, Float_t norm){
  // Project the AliMultiDimVector on a 2D histogram

  TString hisName=Form("hproj%s%dv%d",GetName(),secondVar,firstVar);
  TString hisTit=Form("%s vs. %s",fAxisTitles[secondVar].Data(),fAxisTitles[firstVar].Data());
  TH2F* h2=new TH2F(hisName.Data(),hisTit.Data(),fNCutSteps[firstVar],fMinLimits[firstVar],fMaxLimits[firstVar],fNCutSteps[secondVar],fMinLimits[secondVar],fMaxLimits[secondVar]);
  
  Int_t index[fgkMaxNVariables];
  for(Int_t i=0;i<fNVariables;i++){
    index[i]=fixedVars[i];
  }
  
  for(Int_t i=0;i<fNCutSteps[firstVar];i++){
    for(Int_t j=0;j<fNCutSteps[secondVar];j++){
      index[firstVar]=i;
      index[secondVar]=j;
      Float_t cont=GetElement(index,ptbin)/norm;
      Int_t bin1=i+1;
      if(!fGreaterThan[firstVar]) bin1=fNCutSteps[firstVar]-i;
      Int_t bin2=j+1;
      if(!fGreaterThan[secondVar]) bin2=fNCutSteps[secondVar]-j;
      h2->SetBinContent(bin1,bin2,cont);
    }
  }
  return h2;
}
//_____________________________________________________________________________ 
void  AliMultiDimVector::GetIntegrationLimits(Int_t iVar, Int_t iCell, Int_t& minbin, Int_t& maxbin) const {
  // computes bin limits for integrating the AliMultiDimVector
  minbin=0;
  maxbin=0;
  if(iVar<fNVariables){
    minbin=iCell;
    maxbin=fNCutSteps[iVar]-1;
  }
}
//_____________________________________________________________________________ 
void  AliMultiDimVector::GetFillRange(Int_t iVar, Int_t iCell, Int_t& minbin, Int_t& maxbin) const {
  // computes range of cells passing the cuts for FillAndIntegrate
  minbin=0;
  maxbin=0;
  if(iVar<fNVariables){
    minbin=0; // bin 0 corresponds to loose cuts
    maxbin=iCell;
  }
}
//_____________________________________________________________________________ 
void AliMultiDimVector::Integrate(){
  // integrates the matrix
  if(fIsIntegrated){
    AliError("MultiDimVector already integrated");
    return;
  }
  TArrayF integral(fNTotCells);
  for(ULong64_t i=0;i<fNTotCells;i++) integral[i]=CountsAboveCell(i);
  for(ULong64_t i=0;i<fNTotCells;i++) fVett[i]= integral[i];
  fIsIntegrated=kTRUE;
}//_____________________________________________________________________________ 
ULong64_t* AliMultiDimVector::GetGlobalAddressesAboveCuts(const Float_t *values, Int_t ptbin, Int_t& nVals) const{
  // fills an array with global addresses of cells passing the cuts

  Int_t ind[fgkMaxNVariables];
  Bool_t retcode=GetIndicesFromValues(values,ind);
  if(!retcode){ 
    nVals=0;
    return 0x0;
  }
  for(Int_t i=fNVariables; i<fgkMaxNVariables; i++) ind[i]=0;
  Int_t mink[fgkMaxNVariables];
  Int_t maxk[fgkMaxNVariables];
  Int_t size=1;
  for(Int_t i=0;i<fgkMaxNVariables;i++){
    GetFillRange(i,ind[i],mink[i],maxk[i]);
    size*=(maxk[i]-mink[i]+1);
  }
  ULong64_t* indexes=new ULong64_t[size];
  nVals=0;
  for(Int_t k0=mink[0]; k0<=maxk[0]; k0++){
    for(Int_t k1=mink[1]; k1<=maxk[1]; k1++){
      for(Int_t k2=mink[2]; k2<=maxk[2]; k2++){
  for(Int_t k3=mink[3]; k3<=maxk[3]; k3++){
    for(Int_t k4=mink[4]; k4<=maxk[4]; k4++){
      for(Int_t k5=mink[5]; k5<=maxk[5]; k5++){
        for(Int_t k6=mink[6]; k6<=maxk[6]; k6++){
    for(Int_t k7=mink[7]; k7<=maxk[7]; k7++){
      for(Int_t k8=mink[8]; k8<=maxk[8]; k8++){
        for(Int_t k9=mink[9]; k9<=maxk[9]; k9++){
          Int_t currentBin[fgkMaxNVariables]={k0,k1,k2,k3,k4,k5,k6,k7,k8,k9};
          indexes[nVals++]=GetGlobalAddressFromIndices(currentBin,ptbin);
        }
      }
    }
        }
      }
    }
  }
      }
    }
  }
  return indexes;
}
//_____________________________________________________________________________ 
Float_t AliMultiDimVector::CountsAboveCell(ULong64_t globadd) const{
  // integrates the counts of cells above cell with address globadd
  Int_t ind[fgkMaxNVariables];
  Int_t ptbin;
  GetIndicesFromGlobalAddress(globadd,ind,ptbin);
  for(Int_t i=fNVariables; i<fgkMaxNVariables; i++) ind[i]=0;
  Int_t mink[fgkMaxNVariables];
  Int_t maxk[fgkMaxNVariables];
  for(Int_t i=0;i<fgkMaxNVariables;i++){
    GetIntegrationLimits(i,ind[i],mink[i],maxk[i]);
  }
  Float_t sumcont=0.;
  for(Int_t k0=mink[0]; k0<=maxk[0]; k0++){
    for(Int_t k1=mink[1]; k1<=maxk[1]; k1++){
      for(Int_t k2=mink[2]; k2<=maxk[2]; k2++){
  for(Int_t k3=mink[3]; k3<=maxk[3]; k3++){
    for(Int_t k4=mink[4]; k4<=maxk[4]; k4++){
      for(Int_t k5=mink[5]; k5<=maxk[5]; k5++){
        for(Int_t k6=mink[6]; k6<=maxk[6]; k6++){
    for(Int_t k7=mink[7]; k7<=maxk[7]; k7++){
      for(Int_t k8=mink[8]; k8<=maxk[8]; k8++){
        for(Int_t k9=mink[9]; k9<=maxk[9]; k9++){
          Int_t currentBin[fgkMaxNVariables]={k0,k1,k2,k3,k4,k5,k6,k7,k8,k9};
          sumcont+=GetElement(currentBin,ptbin);
        }
      }
    }
        }
      }
    }
  }
      }
    }
  }
  return sumcont;
}
//_____________________________________________________________________________ 
void AliMultiDimVector::Fill(Float_t* values, Int_t ptbin){
  // fills the cells of AliMultiDimVector corresponding to values
  if(fIsIntegrated){
    AliError("MultiDimVector already integrated -- Use FillAndIntegrate");
    return;
  }
  Int_t ind[fgkMaxNVariables];
  Bool_t retcode=GetIndicesFromValues(values,ind);
  for(Int_t i=fNVariables; i<fgkMaxNVariables; i++) ind[i]=0;
  if(retcode) IncrementElement(ind,ptbin);
}
//_____________________________________________________________________________ 
void AliMultiDimVector::FillAndIntegrate(Float_t* values, Int_t ptbin){
  // fills the cells of AliMultiDimVector passing the cuts
  // The number of nested loops must match fgkMaxNVariables!!!!
  fIsIntegrated=kTRUE;
  Int_t ind[fgkMaxNVariables];
  Bool_t retcode=GetIndicesFromValues(values,ind);
  if(!retcode) return;
  for(Int_t i=fNVariables; i<fgkMaxNVariables; i++) ind[i]=0;
  Int_t mink[fgkMaxNVariables];
  Int_t maxk[fgkMaxNVariables];
  for(Int_t i=0;i<fgkMaxNVariables;i++){
    GetFillRange(i,ind[i],mink[i],maxk[i]);
  }
  for(Int_t k0=mink[0]; k0<=maxk[0]; k0++){
    for(Int_t k1=mink[1]; k1<=maxk[1]; k1++){
      for(Int_t k2=mink[2]; k2<=maxk[2]; k2++){
  for(Int_t k3=mink[3]; k3<=maxk[3]; k3++){
    for(Int_t k4=mink[4]; k4<=maxk[4]; k4++){
      for(Int_t k5=mink[5]; k5<=maxk[5]; k5++){
        for(Int_t k6=mink[6]; k6<=maxk[6]; k6++){
    for(Int_t k7=mink[7]; k7<=maxk[7]; k7++){
      for(Int_t k8=mink[8]; k8<=maxk[8]; k8++){
        for(Int_t k9=mink[9]; k9<=maxk[9]; k9++){
          Int_t currentBin[fgkMaxNVariables]={k0,k1,k2,k3,k4,k5,k6,k7,k8,k9};
          IncrementElement(currentBin,ptbin);
        }
      }
    }
        }
      }
    }
  }
      }
    }
  }

}
//_____________________________________________________________________________ 
void AliMultiDimVector::SuppressZeroBKGEffect(const AliMultiDimVector* mvBKG){
  // Sets to zero elements for which mvBKG=0
  for(ULong64_t i=0;i<fNTotCells;i++)
    if(mvBKG->GetElement(i)<0.00000001) fVett.AddAt(0,i);
}
//_____________________________________________________________________________ 
AliMultiDimVector* AliMultiDimVector:: ShrinkPtBins(Int_t firstBin, Int_t lastBin){
  // sums the elements of pt bins between firstBin and lastBin
  if(firstBin<0 || lastBin>=fNPtBins || firstBin>=lastBin){
    AliError("Bad numbers of Pt bins to be shrinked");
    return 0;
  }
  Int_t nofcells[fgkMaxNVariables];
  Float_t loosecuts[fgkMaxNVariables];
  Float_t tightcuts[fgkMaxNVariables];
  TString axisTitles[fgkMaxNVariables];
  for(Int_t j=0;j<fgkMaxNVariables;j++) {
    nofcells[j]=0;
    loosecuts[j]=0.;
    tightcuts[j]=0.;
    axisTitles[j]="";
  }
  for(Int_t i=0;i<fNVariables;i++){
    nofcells[i]=fNCutSteps[i];
    if(fGreaterThan[i]){
      loosecuts[i]=fMinLimits[i];
      tightcuts[i]=fMaxLimits[i];
    }else{
      loosecuts[i]=fMaxLimits[i];
      tightcuts[i]=fMinLimits[i];
    }
    axisTitles[i]=fAxisTitles[i];
  }
  Int_t newNptbins=fNPtBins-(lastBin-firstBin);
  Float_t ptlimits[fgkMaxNPtBins+1];
  for(Int_t ipt=0; ipt<=firstBin;ipt++) ptlimits[ipt]=fPtLimits[ipt];
  for(Int_t ipt=firstBin+1; ipt<newNptbins+1;ipt++) ptlimits[ipt]=fPtLimits[ipt+(lastBin-firstBin)];
  AliMultiDimVector* shrinkedMV=new AliMultiDimVector(GetName(),GetTitle(),newNptbins,ptlimits,fNVariables,nofcells,loosecuts,tightcuts,axisTitles);
  
  ULong64_t nOfPointsPerPtbin=fNTotCells/fNPtBins;
  ULong64_t addressOld,addressNew;
  Int_t npb,opb;
  for(npb=0;npb<firstBin;npb++){
    opb=npb;
    for(ULong64_t k=0;k<nOfPointsPerPtbin;k++){
      addressOld=opb+k*fNPtBins;
      addressNew=npb+k*newNptbins;
      shrinkedMV->SetElement(addressNew,fVett[addressOld]);
    }
  }
  npb=firstBin;
  for(ULong64_t k=0;k<nOfPointsPerPtbin;k++){
    Float_t summedValue=0.;
    for(opb=firstBin;opb<=lastBin;opb++){
      addressOld=opb+k*fNPtBins;
      summedValue+=fVett[addressOld];
    }
    addressNew=npb+k*newNptbins;
    shrinkedMV->SetElement(addressNew,summedValue);
  }
  for(npb=firstBin+1;npb<newNptbins;npb++){
    opb=npb+(lastBin-firstBin);
    for(ULong64_t k=0;k<nOfPointsPerPtbin;k++){
      addressOld=opb+k*fNPtBins;
      addressNew=npb+k*newNptbins;
      shrinkedMV->SetElement(addressNew,fVett[addressOld]);
    }
  }
  return shrinkedMV;
}
//_____________________________________________________________________________ 
void AliMultiDimVector::SetNewLimits(Float_t* loose,Float_t* tight){
  for(Int_t i=0;i<fNVariables;i++){
    if(loose[i] < tight[i]){
      fMinLimits[i]=loose[i];
      fMaxLimits[i]=tight[i];
      fGreaterThan[i]=kTRUE;
    }else{
      fMinLimits[i]=tight[i];
      fMaxLimits[i]=loose[i];
      fGreaterThan[i]=kFALSE;
    }
  }
}
//_____________________________________________________________________________ 
void AliMultiDimVector::SwapLimits(Int_t ivar){
  Float_t oldmin = fMinLimits[ivar];
  fMinLimits[ivar] = fMaxLimits[ivar];
  fMaxLimits[ivar] = oldmin;
  if(fGreaterThan[ivar])fGreaterThan[ivar]=kFALSE;
  else fGreaterThan[ivar]=kTRUE;
}
//_____________________________________________________________________________ 
void AliMultiDimVector::PrintStatus(){
  //
  printf("Number of Pt bins       = %d\n",fNPtBins);
  printf("Limits of Pt bins       = ");
  for(Int_t ib=0;ib<fNPtBins+1;ib++) printf("%6.2f ",fPtLimits[ib]);
  printf("\n");
  printf("Number of cut variables = %d\n",fNVariables);
  for(Int_t iv=0;iv<fNVariables;iv++){
    printf("- Variable %d: %s\n",iv,fAxisTitles[iv].Data());
    printf("    Nsteps= %d Rage = %6.2f %6.2f\n",
     fNCutSteps[iv],fMinLimits[iv],fMaxLimits[iv]);
  }
}