#include "TNamed.h"
#include "TF1.h"
#include "TH1F.h"
#include "TH2F.h"
#include "TH1D.h"
#include "TMath.h"
#include "TGraphErrors.h"
#include "TCanvas.h"
#include "TObjArray.h"
#include "AliPerfAnalyzeInvPt.h"
ClassImp(AliPerfAnalyzeInvPt)
Double_t AliPerfAnalyzeInvPt::Polynomial(Double_t *x, const Double_t *par)
{
if (x[0] > -par[4] && x[0] < par[4]) {
TF1::RejectPoint();
return 0;
}
return par[2]+par[0]*pow((x[0]-par[1]),2)+par[3]*pow((x[0]-par[1]),4);
}
Double_t AliPerfAnalyzeInvPt::PolynomialRejP(Double_t *x, const Double_t *par)
{
Double_t pos = par[5];
Double_t neg = - par[5];
pos += par[4];
neg += par[4];
if (x[0] > neg && x[0] < pos) {
TF1::RejectPoint();
return 0;
}
return par[2]+par[0]*pow((x[0]-par[1]),2)+par[3]*pow((x[0]-par[1]),4);
}
Double_t AliPerfAnalyzeInvPt::InvGauss(Double_t *x, const Double_t *par)
{
if (x[0] > -par[6] && x[0] < par[6]) {
TF1::RejectPoint();
return 0;
}
return par[3]+par[0]*(TMath::Exp(-0.5*(TMath::Power((x[0]-par[1])/par[2], 2.0)))+par[4]*pow((x[0]-par[1]),2)+par[5]*pow((x[0]-par[1]),4)) ;
}
Double_t AliPerfAnalyzeInvPt::InvGaussRejP(Double_t *x, const Double_t *par)
{
Double_t pos = par[7];
Double_t neg = - par[7];
pos += par[6];
neg += par[6];
if (x[0] > neg && x[0] < pos) {
TF1::RejectPoint();
return 0;
}
return par[3]+par[0]*TMath::Exp(-0.5*(TMath::Power((x[0]-par[1])/par[2], 2.0)))+par[4]*pow((x[0]-par[1]),2)+par[5]*pow((x[0]-par[1]),4) ;
}
AliPerfAnalyzeInvPt::AliPerfAnalyzeInvPt(const Char_t* name, const Char_t* title):
TNamed(name,title),
fThetaBins(),
fPhiBins(),
fNThetaBins(0),
fNPhiBins(0),
fRange(0),
fExclRange(0),
fFitGaus(0) ,
fDoRebin(0),
fRebin(0),
fHistFitTheta(),
fHistFitPhi(),
fHistH2InvPtTheta(0),
fHistH2InvPtPhi(0),
fGrMinPosTheta(0),
fGrMinPosPhi(0),
fFitMinPos(0),
fFitMinPosRejP(0),
fFitInvGauss(0),
fFitInvGaussRejP(0)
{
fFitGaus = kFALSE;
fNThetaBins = 0;
fNPhiBins = 0;
fRange = 0;
fExclRange = 0;
fDoRebin = kFALSE;
fRebin = 0;
for(Int_t i=0;i<100;i++){
fHistFitTheta[i] = NULL;
fHistFitPhi[i] = NULL;
}
}
void AliPerfAnalyzeInvPt::InitGraphs(Double_t *binsXTheta,Double_t *fitParamTheta,Double_t *errFitParamTheta,Double_t *binsXPhi,Double_t *fitParamPhi,Double_t *errFitParamPhi){
fGrMinPosTheta = new TGraphErrors(fNThetaBins,binsXTheta,fitParamTheta,0, errFitParamTheta);
fGrMinPosTheta->SetMarkerStyle(20);
fGrMinPosTheta->SetMarkerColor(2);
fGrMinPosTheta->SetLineColor(2);
fGrMinPosTheta->GetYaxis()->SetTitle("min pos (GeV/c)^{-1}");
fGrMinPosTheta->GetXaxis()->SetTitle("#theta bin no.");
fGrMinPosTheta->GetYaxis()->SetTitleOffset(1.2);
fGrMinPosTheta->SetTitle("#theta bins");
fGrMinPosPhi = new TGraphErrors(fNPhiBins,binsXPhi,fitParamPhi,0,errFitParamPhi);
fGrMinPosPhi->SetMarkerStyle(20);
fGrMinPosPhi->SetMarkerColor(4);
fGrMinPosPhi->SetLineColor(4);
fGrMinPosPhi->GetYaxis()->SetTitle("min pos (GeV/c)^{-1}");
fGrMinPosPhi->GetXaxis()->SetTitle("#phi bin no.");
fGrMinPosPhi->GetYaxis()->SetTitleOffset(1.2);
fGrMinPosPhi->SetTitle("#phi bins");
}
void AliPerfAnalyzeInvPt::InitFitFcn(){
fFitMinPos = new TF1("fFitMinPos", Polynomial,-4.0,4.0,5);
fFitMinPos->SetLineColor(4);
fFitMinPos->SetLineWidth(1);
fFitMinPos->SetParameter(0,1.0);
fFitMinPos->SetParameter(1,0.0);
fFitMinPos->SetParameter(2,0.0);
fFitMinPosRejP = new TF1("fFitMinPosRejP",PolynomialRejP,-4.0,4.0,6);
fFitMinPosRejP->SetLineColor(2);
fFitMinPosRejP->SetLineWidth(1);
fFitMinPosRejP->SetParameter(0,1.0);
fFitMinPosRejP->SetParameter(1,0.0);
fFitMinPosRejP->SetParameter(2,0.0);
fFitInvGauss = new TF1("fFitInvGauss", InvGauss,-4.0,4.0,6);
fFitInvGauss->SetLineColor(4);
fFitInvGauss->SetLineWidth(1);
fFitInvGauss->SetParameter(2,1.0);
fFitInvGaussRejP = new TF1("fFitInvGaussRejP", InvGaussRejP,-4.0,4.0,7);
fFitInvGaussRejP->SetLineColor(2);
fFitInvGaussRejP->SetLineWidth(1);
fFitInvGaussRejP->SetParameter(2,1.0);
}
void AliPerfAnalyzeInvPt::StartAnalysis(const TH2F *histThetaInvPt, const TH2F *histPhiInvPt, TObjArray* aFolderObj){
if(!histThetaInvPt) {
Printf("warning: no 1/pt histogram to analyse in theta bins!");
return;
}
if(!histPhiInvPt) {
Printf("warning: no 1/pt histogram to analyse in phit bins!");
return;
}
Double_t thetaBins[9] = {0.77,0.97,1.17,1.37,1.57,1.77,1.97,2.17,2.37};
Double_t phiBins[13] = {0.0,0.5,1.0,1.5,2.0,2.5,3.0,3.5,4.0,4.5,5.0,5.5,6.5};
Int_t nThetaBins = 9;
Int_t nPhiBins = 13;
Double_t range = 1.0;
Double_t exclRange = 0.13;
Bool_t fitGaus=kFALSE;
if(!fNThetaBins){
fNThetaBins = nThetaBins;
for(Int_t k = 0;k<fNThetaBins;k++){
fThetaBins[k] = thetaBins[k];
}
Printf("warning: for theta bins no user intput! bins are set to default values.");
}
if(!fNPhiBins){
fNPhiBins = nPhiBins;
for(Int_t k = 0;k<fNPhiBins;k++){
fPhiBins[k] = phiBins[k];
}
Printf("warning: for phi bins no user intput! bins are set to default values.");
}
if(!fRange){
fRange = range;
fExclRange = exclRange;
fFitGaus = fitGaus;
Printf("warning: no fit range is set. default fitting conditions are used.");
}
Double_t fitParamTheta[100],fitParamPhi[100];
Double_t errFitParamTheta[100], errFitParamPhi[100];
Double_t binsXTheta[100],binsXPhi[100];
fHistH2InvPtTheta = (TH2F*)histThetaInvPt->Clone("invPtVsTheta");
fHistH2InvPtPhi = (TH2F*)histPhiInvPt->Clone("invPtVsPhi");
InitFitFcn();
TCanvas *thephiCan =new TCanvas("thephiCan","theta and phi vs invPt",800,400);
thephiCan->Divide(2,1);
thephiCan->cd(1);
fHistH2InvPtTheta->SetTitle("#theta vs charge/pt for selected #phi range");
fHistH2InvPtTheta->GetXaxis()->SetTitle("charge/p_{t} (GeV/c)^{-1}");
fHistH2InvPtTheta->GetYaxis()->SetTitle("#theta (rad)");
fHistH2InvPtTheta->DrawCopy("col1z");
thephiCan->cd(2);
fHistH2InvPtPhi->SetTitle("#phi vs charge/pt for selected #theta range");
fHistH2InvPtPhi->GetXaxis()->SetTitle("charge/p_{t} (GeV/c)^{-1}");
fHistH2InvPtPhi->GetYaxis()->SetTitle("#phi (rad)");
fHistH2InvPtPhi->DrawCopy("col1z");
TCanvas *theCan =new TCanvas("theCan","invPt theta bins",1200,900);
theCan->Divide((fNThetaBins+2)/2,2);
TCanvas *phiCan =new TCanvas("phiCan","invPt phi bins",1200,900);
phiCan->Divide((fNPhiBins+2)/2,2);
Int_t countPad = 1;
for(Int_t i=0;i<fNThetaBins;i++){
TString name = "fit_theta_";
name +=i;
fHistH2InvPtTheta->SetName(name.Data());
Int_t firstBin= fHistH2InvPtTheta->GetYaxis()->FindBin(fThetaBins[i]);
if(i>0) firstBin +=1;
Int_t lastBin = fHistH2InvPtTheta->GetYaxis()->FindBin(fThetaBins[i+1]);
if( i == fNThetaBins-1) {
firstBin= fHistH2InvPtTheta->GetYaxis()->FindBin(fThetaBins[0]);
lastBin = fHistH2InvPtTheta->GetYaxis()->FindBin(fThetaBins[i]);
}
fHistFitTheta[i] = (TH1D*)fHistH2InvPtTheta->ProjectionX("_px",firstBin,lastBin,"e");
Char_t titleTheta[50];
if(TMath::Abs(i-(fNThetaBins-1))<0.5) snprintf(titleTheta,50,"charge/pt (GeV/c) integrated over #theta");
else snprintf(titleTheta,50,"charge/pt (GeV/c) for #theta range: %1.3f - %1.3f",fThetaBins[i],fThetaBins[i+1]);
fHistFitTheta[i]->SetTitle(titleTheta);
Double_t invPtMinPos = 0;
Double_t invPtMinPosErr = 0;
Double_t invPtMinPosImpr = 0;
Double_t invPtMinPosErrImpr = 0;
if(fDoRebin) fHistFitTheta[i]->Rebin(fRebin);
if(!fFitGaus){
Printf("making polynomial fit in charge/pt in theta bins");
theCan->cd(countPad);
MakeFit(fHistFitTheta[i],fFitMinPos, invPtMinPos,invPtMinPosErr, fExclRange,fRange);
MakeFitBetter(fHistFitTheta[i],fFitMinPosRejP, invPtMinPosImpr, invPtMinPosErrImpr, invPtMinPos,fExclRange,fRange);
fHistFitTheta[i]->DrawCopy();
fFitMinPos->DrawCopy("L,same");
fFitMinPosRejP->DrawCopy("L,same");
}
else{
Printf("making gauss fit in charge/pt in theta bins");
theCan->cd(countPad);
MakeFitInvGauss(fHistFitTheta[i],fFitInvGauss, invPtMinPos, invPtMinPosErr,fExclRange,fRange);
MakeFitInvGaussBetter(fHistFitTheta[i],fFitInvGaussRejP, invPtMinPosImpr, invPtMinPosErrImpr,invPtMinPos,fExclRange,fRange);
fHistFitTheta[i]->DrawCopy();
fFitInvGauss->DrawCopy("L,same");
fFitInvGaussRejP->DrawCopy("L,same");
}
aFolderObj->Add(fHistFitTheta[i]);
fitParamTheta[i] = invPtMinPosImpr;
errFitParamTheta[i] = invPtMinPosErrImpr;
binsXTheta[i] = i+1.0;
countPad++;
}
countPad = 1;
for(Int_t i=0;i<fNPhiBins;i++){
TString name = "fit_phi_";
name +=i;
fHistH2InvPtPhi->SetName(name.Data());
Int_t firstBin = fHistH2InvPtPhi->GetYaxis()->FindBin(fPhiBins[i]);
if(i>0) firstBin +=1;
Int_t lastBin = fHistH2InvPtPhi->GetYaxis()->FindBin(fPhiBins[i+1]);
if(TMath::Abs(i-(fNPhiBins-1))<0.5){
firstBin = fHistH2InvPtPhi->GetYaxis()->FindBin(fPhiBins[0]);
lastBin = fHistH2InvPtPhi->GetYaxis()->FindBin(fPhiBins[i]);
}
fHistFitPhi[i] = (TH1D*) fHistH2InvPtPhi->ProjectionX("_px",firstBin,lastBin,"e");
Char_t titlePhi[50];
if(TMath::Abs(i-(fNPhiBins-1))<0.5) snprintf(titlePhi,50,"charge/pt (GeV/c) integrated over #phi");
else snprintf(titlePhi,50,"charge/pt (GeV/c) for #phi range: %1.3f - %1.3f",fPhiBins[i],fPhiBins[i+1]);
fHistFitPhi[i]->SetTitle(titlePhi);
Double_t invPtMinPos = 0;
Double_t invPtMinPosErr = 0;
Double_t invPtMinPosImpr = 0;
Double_t invPtMinPosErrImpr = 0;
if(fDoRebin) fHistFitPhi[i]->Rebin(fRebin);
if(!fFitGaus){
Printf("making polynomial fit in charge/pt in phi bins");
phiCan->cd(countPad);
MakeFit(fHistFitPhi[i],fFitMinPos, invPtMinPos, invPtMinPosErr,fExclRange,fRange);
MakeFitBetter(fHistFitPhi[i],fFitMinPosRejP, invPtMinPosImpr, invPtMinPosErrImpr,invPtMinPos,fExclRange,fRange);
fHistFitPhi[i]->DrawCopy();
fFitMinPos->DrawCopy("L,same");
fFitMinPosRejP->DrawCopy("L,same");
}
else {
Printf("making gauss fit in charge/pt in phi bins");
phiCan->cd(countPad);
MakeFitInvGauss(fHistFitPhi[i],fFitInvGauss, invPtMinPos, invPtMinPosErr, exclRange,fRange);
MakeFitInvGaussBetter(fHistFitPhi[i],fFitInvGaussRejP, invPtMinPosImpr, invPtMinPosErrImpr, invPtMinPos, fExclRange,fRange);
fHistFitPhi[i]->DrawCopy();
fFitInvGauss->DrawCopy("L,same");
fFitInvGaussRejP->DrawCopy("L,same");
}
aFolderObj->Add(fHistFitPhi[i]);
fitParamPhi[i] = invPtMinPosImpr;
errFitParamPhi[i] = invPtMinPosErrImpr;
binsXPhi[i] = i+1.0;
countPad++;
}
InitGraphs(binsXTheta,fitParamTheta,errFitParamTheta,binsXPhi,fitParamPhi,errFitParamPhi);
TCanvas *canFitVal = new TCanvas("canFitVal","min pos histos",800,400);
canFitVal->Divide(2,1);
canFitVal->cd(1);
fGrMinPosTheta->Draw("AP");
canFitVal->cd(2);
fGrMinPosPhi->Draw("AP");
Printf("AliPerfAnalyzeInvPt::StartAnalysis: ***** NOTE: last bin is always fit result of integral over all angle BINS which have been set by user! angle ranges of 2D projections are kept.*****");
aFolderObj->Add(fGrMinPosTheta);
aFolderObj->Add(fGrMinPosPhi);
aFolderObj->Add(fHistH2InvPtTheta);
aFolderObj->Add(fHistH2InvPtPhi);
}
void AliPerfAnalyzeInvPt::MakeFit(TH1D *hproy, TF1 * fitpb, Double_t &mean, Double_t &errMean, Double_t &excl,Double_t &range)
{
fitpb->SetRange(-range,range);
fitpb->SetParLimits(1,-0.05,0.05);
fitpb->SetParameter(0,1.0);
fitpb->FixParameter(4,excl);
fitpb->FixParameter(2,0.0);
hproy->Fit(fitpb,"RM");
mean = fitpb->GetParameter(1);
errMean = fitpb->GetParError(1);
if(!mean) errMean = 0.0;
}
void AliPerfAnalyzeInvPt::MakeFitBetter(TH1D *hproy, TF1 * fitpb2, Double_t &mean, Double_t &errMean, Double_t &f, Double_t &excl, Double_t &range)
{
fitpb2->FixParameter(5,excl);
fitpb2->FixParameter(4,f);
fitpb2->SetRange(-range+f,range+f);
fitpb2->SetParLimits(1,-0.05,0.05);
fitpb2->SetParameter(0,1.0);
hproy->Fit(fitpb2,"RM");
mean = fitpb2->GetParameter(1);
errMean = fitpb2->GetParError(1);
if(!mean) errMean = 0.0;
}
void AliPerfAnalyzeInvPt::MakeFitInvGauss(TH1D *hproy, TF1 * fitpb, Double_t &mean, Double_t &errMean, Double_t &excl,Double_t &range)
{
fitpb->FixParameter(6,excl);
fitpb->SetRange(-range,range);
fitpb->SetParameter(0,-1.0);
fitpb->SetParameter(2,1.0);
fitpb->SetParameter(3,25000.0);
fitpb->SetParameter(4,-1.0);
fitpb->SetParLimits(1,-0.02,0.02);
hproy->Fit(fitpb,"RM");
mean = fitpb->GetParameter(1);
errMean = fitpb->GetParError(1);
if(!mean) errMean = 0.0;
}
void AliPerfAnalyzeInvPt::MakeFitInvGaussBetter(TH1D *hproy, TF1 * fitpb2, Double_t &mean, Double_t &errMean, Double_t &f, Double_t &excl, Double_t &range)
{
fitpb2->FixParameter(7,excl);
fitpb2->FixParameter(6,f);
fitpb2->SetRange(-range+f,range+f);
fitpb2->SetParameter(0,-1.0);
fitpb2->SetParameter(2,1.0);
fitpb2->SetParameter(3,25000.0);
fitpb2->SetParameter(4,-1.0);
fitpb2->SetParLimits(1,-0.02,0.02);
hproy->Fit(fitpb2,"RM");
mean = fitpb2->GetParameter(1);
errMean = fitpb2->GetParError(1);
if(!mean) errMean = 0.0;
}
void AliPerfAnalyzeInvPt::SetProjBinsPhi(const Double_t *phiBinArray,const Int_t nphBins){
if(nphBins){
fNPhiBins = nphBins;
for(Int_t k = 0;k<fNPhiBins;k++){
fPhiBins[k] = phiBinArray[k];
}
Printf("AliPerfAnalyzeInvPt::SetProjBinsPhi:number of bins in phi set to %i",fNPhiBins);
}
else Printf("AliPerfAnalyzeInvPt::SetProjBinsPhi: number of bins in theta NOT set. Default values are used.");
}
void AliPerfAnalyzeInvPt::SetProjBinsTheta(const Double_t *thetaBinArray, const Int_t nthBins){
if(nthBins){
fNThetaBins = nthBins;
for(Int_t k = 0;k<fNThetaBins;k++){
fThetaBins[k] = thetaBinArray[k];
}
Printf("AliPerfAnalyzeInvPt::SetProjBinsTheta: number of bins in theta set to %i",fNThetaBins);
}
else Printf("AliPerfAnalyzeInvPt::SetProjBinsTheta: number of bins in theta NOT set. Default values are used.");
}
void AliPerfAnalyzeInvPt::SetMakeFitOption(const Bool_t setGausFit, const Double_t exclusionR,const Double_t fitR ){
if(fitR){
fFitGaus = setGausFit;
fExclRange = exclusionR;
fRange = fitR;
if(fFitGaus) Printf("AliPerfAnalyzeInvPt::SetMakeFitOption: set MakeGausFit with fit range %2.3f and exclusion range in fabs(1/pt): %2.3f",fRange,fExclRange);
else Printf("AliPerfAnalyzeInvPt::SetMakeFitOption: set standard polynomial fit with fit range %2.3f and exclusion range in fabs(1/pt): %2.3f",fRange,fExclRange);
}
else Printf(" AliPerfAnalyzeInvPt::SetMakeFitOption: no user input. Set standard polynomial fit with fit range 1.0 and exclusion range 0.13.");
}
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