* provided "as is" without express or implied warranty. *
**************************************************************************/
-//--------------------------------------------------------------------//
-// //
-// AliCFUnfolding Class //
-// Class to handle general unfolding procedure //
-// For the moment only bayesian unfolding is supported //
-// The next steps are to add chi2 minimisation and weighting methods //
-// //
-// Author : renaud.vernet@cern.ch //
-//--------------------------------------------------------------------//
+//---------------------------------------------------------------------//
+// //
+// AliCFUnfolding Class //
+// Class to handle general unfolding procedure //
+// For the moment only bayesian unfolding is supported //
+// The next steps are to add chi2 minimisation and weighting methods //
+// //
+// //
+// //
+// Use : //
+// ------- //
+// The Bayesian unfolding consists of several iterations. //
+// At each iteration, an inverse response matrix is calculated, given //
+// the measured spectrum, the a priori (guessed) spectrum, //
+// the efficiency spectrum and the response matrix. //
+// For each iteration, the unfolded spectrum is calculated using //
+// the inverse response : the goal is to get an unfolded spectrum //
+// similar (according to some criterion) to the a priori one. //
+// If the difference is too big, another iteration is performed : //
+// the a priori spectrum is updated to the unfolded one from the //
+// previous iteration, and so on so forth, until the maximum number //
+// of iterations or the similarity criterion is reached. //
+// //
+// Currently the similarity criterion is the Chi2 between the a priori //
+// and the unfolded spectrum. //
+// //
+// Currently the user has to define the max. number of iterations //
+// (::SetMaxNumberOfIterations) //
+// and the chi2 below which the procedure will stop //
+// (::SetMaxChi2 or ::SetMaxChi2PerDOF) //
+// //
+// An optional possibility is to smooth the unfolded spectrum at the //
+// end of each iteration, either using a fit function //
+// (only if #dimensions <=3) //
+// or a simple averaging using the neighbouring bins values. //
+// This is possible calling the function ::UseSmoothing //
+// If no argument is passed to this function, then the second option //
+// is used. //
+// //
+//---------------------------------------------------------------------//
+// Author : renaud.vernet@cern.ch //
+//---------------------------------------------------------------------//
#include "AliCFUnfolding.h"
#include "TMath.h"
#include "TAxis.h"
#include "AliLog.h"
+#include "TF1.h"
+#include "TH1D.h"
+#include "TH2D.h"
+#include "TH3D.h"
ClassImp(AliCFUnfolding)
TNamed(),
fResponse(0x0),
fPrior(0x0),
- fOriginalPrior(0x0),
fEfficiency(0x0),
fMeasured(0x0),
fMaxNumIterations(0),
fNVariables(0),
fMaxChi2(0),
fUseSmoothing(kFALSE),
+ fSmoothFunction(0x0),
+ fSmoothOption(""),
+ fOriginalPrior(0x0),
fInverseResponse(0x0),
fMeasuredEstimate(0x0),
fConditional(0x0),
TNamed(name,title),
fResponse((THnSparse*)response->Clone()),
fPrior(0x0),
- fOriginalPrior(0x0),
fEfficiency((THnSparse*)efficiency->Clone()),
fMeasured((THnSparse*)measured->Clone()),
fMaxNumIterations(0),
fNVariables(nVar),
fMaxChi2(0),
fUseSmoothing(kFALSE),
+ fSmoothFunction(0x0),
+ fSmoothOption(""),
+ fOriginalPrior(0x0),
fInverseResponse(0x0),
fMeasuredEstimate(0x0),
fConditional(0x0),
else {
fPrior = (THnSparse*) prior->Clone();
fOriginalPrior = (THnSparse*)fPrior->Clone();
+ if (fPrior->GetNdimensions() != fNVariables)
+ AliFatal(Form("The prior matrix should have %d dimensions, and it has actually %d",fNVariables,fPrior->GetNdimensions()));
}
+
+ if (fEfficiency->GetNdimensions() != fNVariables)
+ AliFatal(Form("The efficiency matrix should have %d dimensions, and it has actually %d",fNVariables,fEfficiency->GetNdimensions()));
+ if (fMeasured->GetNdimensions() != fNVariables)
+ AliFatal(Form("The measured matrix should have %d dimensions, and it has actually %d",fNVariables,fMeasured->GetNdimensions()));
+ if (fResponse->GetNdimensions() != 2*fNVariables)
+ AliFatal(Form("The response matrix should have %d dimensions, and it has actually %d",2*fNVariables,fResponse->GetNdimensions()));
+
for (Int_t iVar=0; iVar<fNVariables; iVar++) {
AliInfo(Form("prior matrix has %d bins in dimension %d",fPrior ->GetAxis(iVar)->GetNbins(),iVar));
AliInfo(Form("efficiency matrix has %d bins in dimension %d",fEfficiency->GetAxis(iVar)->GetNbins(),iVar));
TNamed(c),
fResponse((THnSparse*)c.fResponse->Clone()),
fPrior((THnSparse*)c.fPrior->Clone()),
- fOriginalPrior((THnSparse*)c.fOriginalPrior->Clone()),
fEfficiency((THnSparse*)c.fEfficiency->Clone()),
fMeasured((THnSparse*)c.fMeasured->Clone()),
fMaxNumIterations(c.fMaxNumIterations),
fNVariables(c.fNVariables),
fMaxChi2(c.fMaxChi2),
fUseSmoothing(c.fUseSmoothing),
+ fSmoothFunction((TF1*)c.fSmoothFunction->Clone()),
+ fSmoothOption(fSmoothOption),
+ fOriginalPrior((THnSparse*)c.fOriginalPrior->Clone()),
fInverseResponse((THnSparse*)c.fInverseResponse->Clone()),
fMeasuredEstimate((THnSparse*)fMeasuredEstimate->Clone()),
fConditional((THnSparse*)c.fConditional->Clone()),
TNamed::operator=(c);
fResponse = (THnSparse*)c.fResponse->Clone() ;
fPrior = (THnSparse*)c.fPrior->Clone() ;
- fOriginalPrior = (THnSparse*)c.fOriginalPrior->Clone() ;
fEfficiency = (THnSparse*)c.fEfficiency->Clone() ;
fMeasured = (THnSparse*)c.fMeasured->Clone() ;
fMaxNumIterations = c.fMaxNumIterations ;
fNVariables = c.fNVariables ;
fMaxChi2 = c.fMaxChi2 ;
fUseSmoothing = c.fUseSmoothing ;
+ fSmoothFunction = (TF1*)c.fSmoothFunction->Clone();
+ fSmoothOption = c.fSmoothOption ;
+ fOriginalPrior = (THnSparse*)c.fOriginalPrior->Clone() ;
fInverseResponse = (THnSparse*)c.fInverseResponse->Clone() ;
fMeasuredEstimate = (THnSparse*)fMeasuredEstimate->Clone() ;
fConditional = (THnSparse*)c.fConditional->Clone() ;
//
if (fResponse) delete fResponse;
if (fPrior) delete fPrior;
- if (fOriginalPrior) delete fOriginalPrior;
if (fEfficiency) delete fEfficiency;
if (fMeasured) delete fMeasured;
+ if (fSmoothFunction) delete fSmoothFunction;
+ if (fOriginalPrior) delete fOriginalPrior;
if (fInverseResponse) delete fInverseResponse;
if (fMeasuredEstimate) delete fMeasuredEstimate;
if (fConditional) delete fConditional;
void AliCFUnfolding::CreateEstMeasured() {
//
// This function creates a estimate (M) of the reconstructed spectrum
- // given the a priori distribution (T) and the conditional matrix (COND)
+ // given the a priori distribution (T), the efficiency (E) and the conditional matrix (COND)
//
// --> P(M) = SUM { P(M|T) * P(T) }
- // --> M(i) = SUM_k { COND(i,k) * T(k) }
+ // --> M(i) = SUM_k { COND(i,k) * T(k) * E (k)}
//
// This is needed to calculate the inverse response matrix
//
// clean the measured estimate spectrum
- for (Long64_t i=0; i<fMeasuredEstimate->GetNbins(); i++) {
+ for (Long_t i=0; i<fMeasuredEstimate->GetNbins(); i++) {
fMeasuredEstimate->GetBinContent(i,fCoordinatesN_M);
fMeasuredEstimate->SetBinContent(fCoordinatesN_M,0.);
+ fMeasuredEstimate->SetBinError (fCoordinatesN_M,0.);
}
+ THnSparse* priorTimesEff = (THnSparse*) fPrior->Clone();
+ priorTimesEff->Multiply(fEfficiency);
+
// fill it
- for (Int_t iBin=0; iBin<fConditional->GetNbins(); iBin++) {
+ for (Long_t iBin=0; iBin<fConditional->GetNbins(); iBin++) {
Double_t conditionalValue = fConditional->GetBinContent(iBin,fCoordinates2N);
+ Double_t conditionalError = fConditional->GetBinError (iBin);
GetCoordinates();
- Double_t priorValue = fPrior->GetBinContent(fCoordinatesN_T);
- Double_t fill = fMeasuredEstimate->GetBinContent(fCoordinatesN_M) + conditionalValue * priorValue * fEfficiency->GetBinContent(fCoordinatesN_T);
- if (fill>0.) fMeasuredEstimate->SetBinContent(fCoordinatesN_M,fill);
+ Double_t priorTimesEffValue = priorTimesEff->GetBinContent(fCoordinatesN_T);
+ Double_t priorTimesEffError = priorTimesEff->GetBinError (fCoordinatesN_T);
+ Double_t fill = conditionalValue * priorTimesEffValue ;
+
+ if (fill>0.) {
+ fMeasuredEstimate->AddBinContent(fCoordinatesN_M,fill);
+
+ // error calculation : gaussian error propagation (may be overestimated...)
+ Double_t err2 = TMath::Power(fMeasuredEstimate->GetBinError(fCoordinatesN_M),2) ;
+ err2 += TMath::Power(conditionalValue*priorTimesEffError,2) + TMath::Power(conditionalError*priorTimesEffValue,2) ;
+ Double_t err = TMath::Sqrt(err2);
+ fMeasuredEstimate->SetBinError(fCoordinatesN_M,err);
+ }
}
+ delete priorTimesEff ;
}
//______________________________________________________________
// --> INV(i,j) = COND(i,j) * T(j) * E(j) / SUM_k { COND(i,k) * T(k) }
//
- for (Int_t iBin=0; iBin<fConditional->GetNbins(); iBin++) {
+ THnSparse* priorTimesEff = (THnSparse*) fPrior->Clone();
+ priorTimesEff->Multiply(fEfficiency);
+
+ for (Long_t iBin=0; iBin<fConditional->GetNbins(); iBin++) {
Double_t conditionalValue = fConditional->GetBinContent(iBin,fCoordinates2N);
+ Double_t conditionalError = fConditional->GetBinError (iBin);
GetCoordinates();
- Double_t priorValue = fPrior->GetBinContent(fCoordinatesN_T);
- Double_t estimatedMeasured = fMeasuredEstimate->GetBinContent(fCoordinatesN_M);
- Double_t fill = (estimatedMeasured>0. ? conditionalValue * priorValue * fEfficiency->GetBinContent(fCoordinatesN_T) / estimatedMeasured : 0. ) ;
- if (fill>0. || fInverseResponse->GetBinContent(fCoordinates2N)>0.) fInverseResponse->SetBinContent(fCoordinates2N,fill);
- }
+ Double_t estMeasuredValue = fMeasuredEstimate->GetBinContent(fCoordinatesN_M);
+ Double_t estMeasuredError = fMeasuredEstimate->GetBinError (fCoordinatesN_M);
+ Double_t priorTimesEffValue = priorTimesEff ->GetBinContent(fCoordinatesN_T);
+ Double_t priorTimesEffError = priorTimesEff ->GetBinError (fCoordinatesN_T);
+ Double_t fill = (estMeasuredValue>0. ? conditionalValue * priorTimesEffValue / estMeasuredValue : 0. ) ;
+ // error calculation : gaussian error propagation (may be overestimated...)
+ Double_t err = 0. ;
+ if (estMeasuredValue>0.) {
+ err = TMath::Sqrt( TMath::Power(conditionalError * priorTimesEffValue * estMeasuredValue ,2) +
+ TMath::Power(conditionalValue * priorTimesEffError * estMeasuredValue ,2) +
+ TMath::Power(conditionalValue * priorTimesEffValue * estMeasuredError ,2) )
+ / TMath::Power(estMeasuredValue,2) ;
+ }
+ if (fill>0. || fInverseResponse->GetBinContent(fCoordinates2N)>0.) {
+ fInverseResponse->SetBinContent(fCoordinates2N,fill);
+ fInverseResponse->SetBinError (fCoordinates2N,err );
+ }
+ }
+ delete priorTimesEff ;
}
//______________________________________________________________
CreateInvResponse();
CreateUnfolded();
chi2 = GetChi2();
- //printf("chi2 = %e\n",chi2);
+ AliDebug(1,Form("Chi2 at iteration %d is %e",iIterBayes,chi2));
if (fMaxChi2>0. && chi2<fMaxChi2) {
break;
}
// update the prior distribution
- if (fUseSmoothing) Smooth();
+ if (fUseSmoothing) {
+ if (Smooth()) {
+ AliError("Couldn't smooth the unfolded spectrum!!");
+ AliInfo(Form("\n\n=======================\nFinished at iteration %d : Chi2 is %e and you required it to be < %e\n=======================\n\n",iIterBayes,chi2,fMaxChi2));
+ return;
+ }
+ }
fPrior = (THnSparse*)fUnfolded->Clone() ; // this should be changed (memory)
}
- AliInfo(Form("Finished at iteration %d : Chi2 is %e and you required it to be < %e",iIterBayes,chi2,fMaxChi2));
+ AliInfo(Form("\n\n=======================\nFinished at iteration %d : Chi2 is %e and you required it to be < %e\n=======================\n\n",iIterBayes,chi2,fMaxChi2));
}
//______________________________________________________________
// clear the unfolded spectrum
- for (Long64_t i=0; i<fUnfolded->GetNbins(); i++) {
+ for (Long_t i=0; i<fUnfolded->GetNbins(); i++) {
fUnfolded->GetBinContent(i,fCoordinatesN_T);
fUnfolded->SetBinContent(fCoordinatesN_T,0.);
+ fUnfolded->SetBinError (fCoordinatesN_T,0.);
}
- for (Int_t iBin=0; iBin<fInverseResponse->GetNbins(); iBin++) {
+ for (Long_t iBin=0; iBin<fInverseResponse->GetNbins(); iBin++) {
Double_t invResponseValue = fInverseResponse->GetBinContent(iBin,fCoordinates2N);
+ Double_t invResponseError = fInverseResponse->GetBinError (iBin);
GetCoordinates();
- Double_t effValue = fEfficiency->GetBinContent(fCoordinatesN_T);
- Double_t fill = fUnfolded->GetBinContent(fCoordinatesN_T) + (effValue>0. ? invResponseValue*fMeasured->GetBinContent(fCoordinatesN_M)/effValue : 0.) ;
- if (fill>0.) fUnfolded->SetBinContent(fCoordinatesN_T,fill);
+ Double_t effValue = fEfficiency->GetBinContent(fCoordinatesN_T);
+ Double_t effError = fEfficiency->GetBinError (fCoordinatesN_T);
+ Double_t measuredValue = fMeasured ->GetBinContent(fCoordinatesN_M);
+ Double_t measuredError = fMeasured ->GetBinError (fCoordinatesN_M);
+ Double_t fill = (effValue>0. ? invResponseValue * measuredValue / effValue : 0.) ;
+
+ if (fill>0.) {
+ fUnfolded->AddBinContent(fCoordinatesN_T,fill);
+
+ // error calculation : gaussian error propagation (may be overestimated...)
+ Double_t err2 = TMath::Power(fUnfolded->GetBinError(fCoordinatesN_T),2) ;
+ err2 += TMath::Power(invResponseError * measuredValue * effValue,2) / TMath::Power(effValue,4) ;
+ err2 += TMath::Power(invResponseValue * measuredError * effValue,2) / TMath::Power(effValue,4) ;
+ err2 += TMath::Power(invResponseValue * measuredValue * effError,2) / TMath::Power(effValue,4) ;
+ Double_t err = TMath::Sqrt(err2);
+ fUnfolded->SetBinError(fCoordinatesN_T,err);
+ }
}
}
+//______________________________________________________________
+
void AliCFUnfolding::GetCoordinates() {
//
// assign coordinates in Measured and True spaces (dim=N) from coordinates in global space (dim=2N)
fConditional = (THnSparse*) fResponse->Clone(); // output of this function
fProjResponseInT = (THnSparse*) fPrior->Clone(); // output denominator :
// projection of the response matrix on the TRUE axis
-
- // set in fProjResponseInT zero everywhere
- for (Int_t iBin=0; iBin<fProjResponseInT->GetNbins(); iBin++) {
- fProjResponseInT->GetBinContent(iBin,fCoordinatesN_T);
- fProjResponseInT->SetBinContent(fCoordinatesN_T,0.);
- }
-
- // calculate the response projection on T axis
- for (Int_t iBin=0; iBin<fResponse->GetNbins(); iBin++) {
- Double_t responseValue = fResponse->GetBinContent(iBin,fCoordinates2N);
- GetCoordinates();
- Double_t fill = fProjResponseInT->GetBinContent(fCoordinatesN_T) + responseValue ;
- if (fill>0.) fProjResponseInT->SetBinContent(fCoordinatesN_T,fill);
- }
+ Int_t* dim = new Int_t [fNVariables];
+ for (Int_t iDim=0; iDim<fNVariables; iDim++) dim[iDim] = fNVariables+iDim ; //dimensions corresponding to TRUE values (i.e. from N to 2N-1)
+ fProjResponseInT = fConditional->Projection(fNVariables,dim,"E"); //project
+ delete [] dim;
// fill the conditional probability matrix
- for (Int_t iBin=0; iBin<fResponse->GetNbins(); iBin++) {
+ for (Long_t iBin=0; iBin<fResponse->GetNbins(); iBin++) {
Double_t responseValue = fResponse->GetBinContent(iBin,fCoordinates2N);
+ Double_t responseError = fResponse->GetBinError (iBin);
GetCoordinates();
- Double_t fill = responseValue / fProjResponseInT->GetBinContent(fCoordinatesN_T) ;
- if (fill>0. || fConditional->GetBinContent(fCoordinates2N)) fConditional->SetBinContent(fCoordinates2N,fill);
+ Double_t projValue = fProjResponseInT->GetBinContent(fCoordinatesN_T);
+ Double_t projError = fProjResponseInT->GetBinError (fCoordinatesN_T);
+
+ Double_t fill = responseValue / projValue ;
+ if (fill>0. || fConditional->GetBinContent(fCoordinates2N)>0.) {
+ fConditional->SetBinContent(fCoordinates2N,fill);
+ // gaussian error for the moment
+ Double_t err2 = TMath::Power(responseError*projValue,2) + TMath::Power(responseValue*projError,2) ;
+ Double_t err = TMath::Sqrt(err2);
+ err /= TMath::Power(projValue,2) ;
+ fConditional->SetBinError (fCoordinates2N,err);
+ }
}
}
//
Double_t chi2 = 0. ;
- for (Int_t iBin=0; iBin<fPrior->GetNbins(); iBin++) {
+ for (Long_t iBin=0; iBin<fPrior->GetNbins(); iBin++) {
Double_t priorValue = fPrior->GetBinContent(iBin);
- chi2 += (priorValue>0. ? TMath::Power(fUnfolded->GetBinContent(iBin) - priorValue,2) / priorValue : 0.) ;
+// chi2 += (priorValue>0. ? TMath::Power(fUnfolded->GetBinContent(iBin) - priorValue,2) / priorValue : 0.) ;
+ chi2 += (fUnfolded->GetBinError(iBin)>0. ? TMath::Power((fUnfolded->GetBinContent(iBin) - priorValue)/fUnfolded->GetBinError(iBin),2) / priorValue : 0.) ;
}
return chi2;
}
//______________________________________________________________
-void AliCFUnfolding::Smooth() {
+Short_t AliCFUnfolding::Smooth() {
//
// Smoothes the unfolded spectrum
- // Each cell content is replaced by the average with the neighbouring bins (but not diagonally-neighbouring bins)
+ //
+ // By default each cell content is replaced by the average with the neighbouring bins (but not diagonally-neighbouring bins)
+ // However, if a specific function fcn has been defined in UseSmoothing(fcn), the unfolded will be fit and updated using fcn
//
+ if (fSmoothFunction) {
+ AliDebug(2,Form("Smoothing spectrum with fit function %p",fSmoothFunction));
+ return SmoothUsingFunction();
+ }
+ else return SmoothUsingNeighbours();
+}
+
+//______________________________________________________________
+
+Short_t AliCFUnfolding::SmoothUsingNeighbours() {
+ //
+ // Smoothes the unfolded spectrum using neighouring bins
+ //
+
Int_t* numBins = new Int_t[fNVariables];
for (Int_t iVar=0; iVar<fNVariables; iVar++) numBins[iVar]=fUnfolded->GetAxis(iVar)->GetNbins();
//need a copy because fUnfolded will be updated during the loop, and this creates problems
THnSparse* copy = (THnSparse*)fUnfolded->Clone();
- for (Int_t iBin=0; iBin<copy->GetNbins(); iBin++) { //loop on non-empty bins
+ for (Long_t iBin=0; iBin<copy->GetNbins(); iBin++) { //loop on non-empty bins
Double_t content = copy->GetBinContent(iBin,fCoordinatesN_T);
+ Double_t error2 = TMath::Power(copy->GetBinError(iBin),2);
// skip the under/overflow bins...
Bool_t isOutside = kFALSE ;
for (Int_t iVar=0; iVar<fNVariables; iVar++) {
if (fCoordinatesN_T[iVar] > 1) { // must not be on low edge border
fCoordinatesN_T[iVar]-- ; //get lower neighbouring bin
- Double_t contentNeighbour = copy->GetBinContent(fCoordinatesN_T);
- content += contentNeighbour;
+ content += copy->GetBinContent(fCoordinatesN_T);
+ error2 += TMath::Power(copy->GetBinError(fCoordinatesN_T),2);
neighbours++;
fCoordinatesN_T[iVar]++ ; //back to initial coordinate
}
if (fCoordinatesN_T[iVar] < numBins[iVar]) { // must not be on up edge border
fCoordinatesN_T[iVar]++ ; //get upper neighbouring bin
- Double_t contentNeighbour = copy->GetBinContent(fCoordinatesN_T);
- content += contentNeighbour ;
+ content += copy->GetBinContent(fCoordinatesN_T);
+ error2 += TMath::Power(copy->GetBinError(fCoordinatesN_T),2);
neighbours++;
fCoordinatesN_T[iVar]-- ; //back to initial coordinate
}
}
- content /= (1+neighbours) ; // make an average
- fUnfolded->SetBinContent(fCoordinatesN_T,content);
+ // make an average
+ fUnfolded->SetBinContent(fCoordinatesN_T,content/(1.+neighbours));
+ fUnfolded->SetBinError (fCoordinatesN_T,TMath::Sqrt(error2)/(1.+neighbours));
}
delete [] numBins;
delete copy;
+ return 0;
}
+//______________________________________________________________
+
+Short_t AliCFUnfolding::SmoothUsingFunction() {
+ //
+ // Fits the unfolded spectrum using the function fSmoothFunction
+ //
+
+ AliDebug(0,Form("Smooth function is a %s with option \"%s\" and has %d parameters : ",fSmoothFunction->ClassName(),fSmoothOption,fSmoothFunction->GetNpar()));
+
+ for (Int_t iPar=0; iPar<fSmoothFunction->GetNpar(); iPar++) AliDebug(0,Form("par[%d]=%e",iPar,fSmoothFunction->GetParameter(iPar)));
+
+ Int_t fitResult = 0;
+
+ switch (fNVariables) {
+ case 1 : fitResult = fUnfolded->Projection(0) ->Fit(fSmoothFunction,fSmoothOption); break;
+ case 2 : fitResult = fUnfolded->Projection(1,0) ->Fit(fSmoothFunction,fSmoothOption); break; // (1,0) instead of (0,1) -> TAxis issue
+ case 3 : fitResult = fUnfolded->Projection(0,1,2)->Fit(fSmoothFunction,fSmoothOption); break;
+ default: AliFatal(Form("Cannot handle such fit in %d dimensions",fNVariables)) ; return 1;
+ }
+
+ if (fitResult != 0) {
+ AliWarning(Form("Fit failed with status %d, stopping the loop",fitResult));
+ return 1;
+ }
+
+ Int_t nDim = fNVariables;
+ Int_t* bins = new Int_t[nDim]; // number of bins for each variable
+ Long_t nBins = 1; // used to calculate the total number of bins in the THnSparse
+
+ for (Int_t iVar=0; iVar<nDim; iVar++) {
+ bins[iVar] = fUnfolded->GetAxis(iVar)->GetNbins();
+ nBins *= bins[iVar];
+ }
+
+ Int_t *bin = new Int_t[nDim]; // bin to fill the THnSparse (holding the bin coordinates)
+ Double_t x[3] = {0,0,0} ; // value in bin center (max dimension is 3 (TF3))
+
+ // loop on the bins and update of fUnfolded
+ // THnSparse::Multiply(TF1*) doesn't exist, so let's do it bin by bin
+ for (Long_t iBin=0; iBin<nBins; iBin++) {
+ Long_t bin_tmp = iBin ;
+ for (Int_t iVar=0; iVar<nDim; iVar++) {
+ bin[iVar] = 1 + bin_tmp % bins[iVar] ;
+ bin_tmp /= bins[iVar] ;
+ x[iVar] = fUnfolded->GetAxis(iVar)->GetBinCenter(bin[iVar]);
+ }
+ Double_t functionValue = fSmoothFunction->Eval(x[0],x[1],x[2]) ;
+ fUnfolded->SetBinContent(bin,functionValue);
+ fUnfolded->SetBinError (bin,functionValue*fUnfolded->GetBinError(bin));
+ }
+ return 0;
+}
//______________________________________________________________
// create the frame of the THnSparse given (for example) the one from the efficiency map
fPrior = (THnSparse*) fEfficiency->Clone();
+ if (fNVariables != fPrior->GetNdimensions())
+ AliFatal(Form("The prior matrix should have %d dimensions, and it has actually %d",fNVariables,fPrior->GetNdimensions()));
+
Int_t nDim = fNVariables;
Int_t* bins = new Int_t[nDim]; // number of bins for each variable
Long_t nBins = 1; // used to calculate the total number of bins in the THnSparse
bin_tmp /= bins[iVar] ;
}
fPrior->SetBinContent(bin,1.); // put 1 everywhere
+ fPrior->SetBinError (bin,0.); // put 0 everywhere
}
fOriginalPrior = (THnSparse*)fPrior->Clone();