void ThreeDFit() {
const int n = 1000;
double x[n], y[n], z[n], v[n];
double ev = 0.1;
// generate the data
TRandom2 r;
for (int i = 0; i < n; ++i) {
x[i] = r.Uniform(0,10);
y[i] = r.Uniform(0,10);
z[i] = r.Uniform(0,10);
v[i] = sin(x[i] ) + cos(y[i]) + z[i] + r.Gaus(0,ev);
}
// create a 3d binned data structure
ROOT::Fit::BinData data(n,3);
double xx[3];
for(int i = 0; i < n; ++i) {
xx[0] = x[i];
xx[1] = y[i];
xx[2] = z[i];
// add the 3d-data coordinate, the predictor value (v[i]) and its errors
data.Add(xx, v[i], ev);
}
TF3 * f3 = new TF3("f3","[0] * sin(x) + [1] * cos(y) + [2] * z",0,10,0,10,0,10);
f3->SetParameters(2,2,2);
ROOT::Fit::Fitter fitter;
// wrapped the TF1 in a IParamMultiFunction interface for teh Fitter class
ROOT::Math::WrappedMultiTF1 wf(*f3,3);
fitter.SetFunction(wf);
//
bool ret = fitter.Fit(data);
if (ret) {
const ROOT::Fit::FitResult & res = fitter.Result();
// print result (should be around 1)
res.Print(std::cout);
// copy all fit result info (values, chi2, etc..) in TF3
f3->SetFitResult(res);
// test fit p-value (chi2 probability)
double prob = res.Prob();
if (prob < 1.E-2)
Error("exampleFit3D","Bad data fit - fit p-value is %f",prob);
else
std::cout << "Good fit : p-value = " << prob << std::endl;
}
else
Error("exampleFit3D","3D fit failed");
}
//____________________________________________________________________
void fitCircle(Int_t n=10000) {
//generates n points around a circle and fit them
TCanvas *c1 = new TCanvas("c1","c1",600,600);
c1->SetGrid();
gr = new TGraph(n);
if (n> 999) gr->SetMarkerStyle(1);
else gr->SetMarkerStyle(3);
TRandom3 r;
Double_t x,y;
for (Int_t i=0;i<n;i++) {
r.Circle(x,y,r.Gaus(4,0.3));
gr->SetPoint(i,x,y);
}
c1->DrawFrame(-5,-5,5,5);
gr->Draw("p");
auto chi2Function = [&](const Double_t *par) {
//minimisation function computing the sum of squares of residuals
// looping at the graph points
Int_t np = gr->GetN();
Double_t f = 0;
Double_t *x = gr->GetX();
Double_t *y = gr->GetY();
for (Int_t i=0;i<np;i++) {
Double_t u = x[i] - par[0];
Double_t v = y[i] - par[1];
Double_t dr = par[2] - std::sqrt(u*u+v*v);
f += dr*dr;
}
return f;
};
// wrap chi2 funciton in a function object for the fit
// 3 is the number of fit parameters (size of array par)
ROOT::Math::Functor fcn(chi2Function,3);
ROOT::Fit::Fitter fitter;
double pStart[3] = {0,0,1};
fitter.SetFCN(fcn, pStart);
fitter.Config().ParSettings(0).SetName("x0");
fitter.Config().ParSettings(1).SetName("y0");
fitter.Config().ParSettings(2).SetName("R");
// do the fit
bool ok = fitter.FitFCN();
if (!ok) {
Error("line3Dfit","Line3D Fit failed");
}
const ROOT::Fit::FitResult & result = fitter.Result();
result.Print(std::cout);
//Draw the circle on top of the points
TArc *arc = new TArc(result.Parameter(0),result.Parameter(1),result.Parameter(2));
arc->SetLineColor(kRed);
arc->SetLineWidth(4);
arc->Draw();
}
void massfitvn_Jpsi()
{
double fit_range_low = 2.6;
double fit_range_high = 3.5;
double JPsi_mass = 3.097;
int npt = 7;
TFile* file1 = TFile::Open("HM185_JpsivnHist_etagap1p5_v30_eff_extdeta.root");
TFile ofile("v2vspt_fromfit_jpsi_HM185_250_deta1p5_doubleCB_v30_eff_exp_extdeta.root","RECREATE");
//v12
double alpha_fit[14] = {4.30986,3.50841,3.03436,2.73741,2.37934,2.10685,2.03615};
double n_fit[14] = {1.88853,1.9839,2.03198,2.07295,2.11001,2.15234,2.10154};
TF1* fmasssig[9];
TF1* fmassbkg[9];
TF1* fmasstotal[9];
TF1* fvn[9];
double pt[13];
double KET_ncq[13];
double v2[13];
double v2e[13];
double v2_bkg[13];
double v2_ncq[13];
double v2e_ncq[13];
double ptbin[14] = {0.2, 1.8, 3.0, 4.5, 6.0, 8.0, 10, 20};
double a[13];
double b[13];
double sigfrac[13];
TCanvas* c[10];
for(int i=0;i<npt;i++)
{
c[i] = new TCanvas(Form("c_%d",i),Form("c_%d",i),800,400);
c[i]->Divide(2,1);
}
for(int i=0;i<npt;i++)
{
c[i]->cd(1)->SetTopMargin(0.06);
c[i]->cd(1)->SetLeftMargin(0.18);
c[i]->cd(1)->SetRightMargin(0.043);
c[i]->cd(1)->SetBottomMargin(0.145);
c[i]->cd(2)->SetTopMargin(0.06);
c[i]->cd(2)->SetLeftMargin(0.18);
c[i]->cd(2)->SetRightMargin(0.043);
c[i]->cd(2)->SetBottomMargin(0.145);
}
TCanvas* c2 = new TCanvas("c2","c2",100,100);
TLatex* tex = new TLatex;
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.045);
tex->SetLineWidth(2);
TLatex* texCMS = new TLatex;
texCMS->SetNDC();
texCMS->SetTextFont(42);
texCMS->SetTextSize(0.05);
texCMS->SetTextAlign(12);
TH1D* hist = new TH1D("hist","",10,2.6,3.5);
hist->SetLineWidth(0);
//hist->GetYaxis()->SetRangeUser(0,0.3);
hist->GetXaxis()->SetTitle("#it{m}_{#mu#mu} (GeV)");
hist->GetYaxis()->SetTitle("v_{2}^{S+B}");
hist->GetXaxis()->CenterTitle();
hist->GetYaxis()->CenterTitle();
hist->GetXaxis()->SetTitleOffset(1.3);
hist->GetYaxis()->SetTitleOffset(2);
hist->GetXaxis()->SetLabelOffset(0.007);
hist->GetYaxis()->SetLabelOffset(0.007);
hist->GetXaxis()->SetTitleSize(0.045);
hist->GetYaxis()->SetTitleSize(0.045);
hist->GetXaxis()->SetTitleFont(42);
hist->GetYaxis()->SetTitleFont(42);
hist->GetXaxis()->SetLabelFont(42);
hist->GetYaxis()->SetLabelFont(42);
hist->GetXaxis()->SetLabelSize(0.04);
hist->GetYaxis()->SetLabelSize(0.04);
hist->SetMinimum(0.01);
hist->SetMaximum(0.33);
c2->cd();
hist->Draw();
for(int i=0;i<npt;i++)
{
TH1D* h_data = (TH1D*)file1->Get(Form("massjpsi_pt%d",i));
h_data->SetMinimum(0);
h_data->SetMarkerSize(0.8);
h_data->SetMarkerStyle(20);
h_data->SetLineWidth(1);
h_data->SetOption("e");
h_data->Rebin(2);
h_data->GetXaxis()->SetRangeUser(2.6,3.5);
h_data->GetXaxis()->SetTitle("#it{m}_{#mu#mu} (GeV)");
h_data->GetYaxis()->SetTitle("Entries / 10 MeV");
h_data->GetXaxis()->CenterTitle();
h_data->GetYaxis()->CenterTitle();
h_data->GetXaxis()->SetTitleOffset(1.3);
h_data->GetYaxis()->SetTitleOffset(2);
h_data->GetXaxis()->SetLabelOffset(0.007);
h_data->GetYaxis()->SetLabelOffset(0.007);
h_data->GetXaxis()->SetTitleSize(0.045);
h_data->GetYaxis()->SetTitleSize(0.045);
h_data->GetXaxis()->SetTitleFont(42);
h_data->GetYaxis()->SetTitleFont(42);
h_data->GetXaxis()->SetLabelFont(42);
h_data->GetYaxis()->SetLabelFont(42);
h_data->GetXaxis()->SetLabelSize(0.04);
h_data->GetYaxis()->SetLabelSize(0.04);
h_data->GetXaxis()->SetNoExponent(true);
((TGaxis*)h_data->GetXaxis())->SetMaxDigits(7);
h_data->SetMaximum(h_data->GetMaximum()*1.5);
TH1D* h_pt = (TH1D*)file1->Get(Form("Ptjpsi_eff_pt%d",i));
TH1D* h_KET = (TH1D*)file1->Get(Form("KETjpsi_eff_pt%d",i));
pt[i] = h_pt->GetMean();
KET_ncq[i] = h_KET->GetMean()/2.0;
c[i]->cd(1);
/*p definitions
[0] CB1 yield;
[1] Common mean of CB and Gaus;
[2] CB1 sigma;
[3] CB n;
[4] CB alpha;
[5] CB2 yield;
[6] CB2 sigma;
[7-10] poly 3;
[11] v2 signal;
[12-13] v2 bkg;
*/
TF1* f = new TF1(Form("f_%d",i), crystalball_function_total, fit_range_low, fit_range_high, 11);
f->SetLineColor(2);
f->SetLineWidth(1);
f->SetParNames("CB1_Yield","common_mean","CB1_sigma","CB_N","CB_Alpha","CB2_Yield","CB2_Sigma","Pol0","Pol1","Pol2","Pol3");
//first fit data mass signal + bkg
f->SetParameter(0,10000.);
f->SetParameter(1,JPsi_mass);
f->SetParameter(2,0.03);
f->SetParameter(3,1.0);
f->SetParameter(4,1.0);
f->SetParameter(5,10000);
f->SetParameter(6,0.03);
f->SetParLimits(2,0.01,0.1);
f->SetParLimits(6,0.01,0.1);
//fix alpha & n from MC
f->FixParameter(4,alpha_fit[i]);
f->FixParameter(3,n_fit[i]);
f->FixParameter(1,JPsi_mass); //for first few attempt fix mean of gaussian to get reasonable estimation of other pars; later open it up
h_data->Fit(Form("f_%d",i),"q","",fit_range_low,fit_range_high);
h_data->Fit(Form("f_%d",i),"q","",fit_range_low,fit_range_high);
f->ReleaseParameter(1); //now let gaussian mean float
h_data->Fit(Form("f_%d",i),"L q","",fit_range_low,fit_range_high);
h_data->Fit(Form("f_%d",i),"L q","",fit_range_low,fit_range_high);
h_data->Fit(Form("f_%d",i),"L m","",fit_range_low,fit_range_high);
//draw D0 signal separately
TF1* f1 = new TF1(Form("f_sig_%d",i), crystalball_function_signal, fit_range_low, fit_range_high, 7);
f1->SetLineColor(kOrange-3);
f1->SetLineWidth(1);
f1->SetLineStyle(2);
f1->SetFillColorAlpha(kOrange-3,0.3);
f1->SetFillStyle(1001);
f1->FixParameter(0,f->GetParameter(0));
f1->FixParameter(1,f->GetParameter(1));
f1->FixParameter(2,f->GetParameter(2));
f1->FixParameter(3,f->GetParameter(3));
f1->FixParameter(4,f->GetParameter(4));
f1->FixParameter(5,f->GetParameter(5));
f1->FixParameter(6,f->GetParameter(6));
fmasssig[i] = (TF1*)f1->Clone();
fmasssig[i]->SetName(Form("masssigfcn_pt%d",i));
fmasssig[i]->Write();
f1->Draw("LSAME");
//draw poly bkg separately
TF1* f3 = new TF1(Form("f_bkg_%d",i),"[7] + [8]*x + [9]*x*x + [10]*x*x*x", fit_range_low, fit_range_high);
f3->SetLineColor(4);
f3->SetLineWidth(1);
f3->SetLineStyle(2);
f3->FixParameter(7,f->GetParameter(7));
f3->FixParameter(8,f->GetParameter(8));
f3->FixParameter(9,f->GetParameter(9));
f3->FixParameter(10,f->GetParameter(10));
fmassbkg[i] = (TF1*)f3->Clone();
fmassbkg[i]->SetName(Form("massbkgfcn_pt%d",i));
fmassbkg[i]->Write();
f3->Draw("LSAME");
tex->DrawLatex(0.22,0.86,"185 #leq N_{trk}^{offline} < 250");
tex->DrawLatex(0.22,0.80,Form("%.1f < p_{T} < %.1f GeV",ptbin[i],ptbin[i+1]));
tex->DrawLatex(0.22,0.74,"-2.86 < y_{cm} < -1.86 or 0.94 < y_{cm} < 1.94");
texCMS->DrawLatex(.18,.97,"#font[61]{CMS} #it{Preliminary}");
//texCMS->DrawLatex(.18,.97,"#font[61]{CMS}");
texCMS->DrawLatex(0.73,0.97, "#scale[0.8]{pPb 8.16 TeV}");
TLegend* leg = new TLegend(0.21,0.4,0.5,0.65,NULL,"brNDC");
leg->SetBorderSize(0);
leg->SetTextSize(0.045);
leg->SetTextFont(42);
leg->SetFillStyle(0);
leg->AddEntry(h_data,"data","p");
leg->AddEntry(f,"Fit","L");
leg->AddEntry(f1,"J/#psi Signal","f");
leg->AddEntry(f3,"Combinatorial","l");
leg->Draw("SAME");
sigfrac[i] = f1->Integral(2.94,3.24)/f->Integral(2.94,3.24);
//c->Print(Form("plots/massfit_pt%d.pdf",i));
//fit vn
//[9] is vn_sig
//[10-11] is vn bkg, const + linear vn(pT)
TGraphErrors* vn_data = (TGraphErrors*)file1->Get(Form("v2_mass_pt%d",i));
c[i]->cd(2);
hist->Draw();
TF1* fmass_combinemassvnfit = new TF1(Form("fmass_combinemassvnfit_%d",i),crystalball_function_total, fit_range_low, fit_range_high, 11);
TF1* fvn_combinemassvnfit = new TF1(Form("fvn_combinemassvnfit_%d",i), crystalball_function_v2, fit_range_low, fit_range_high, 15);
fmass_combinemassvnfit->SetLineColor(2);
fmass_combinemassvnfit->SetLineWidth(1);
fvn_combinemassvnfit->SetLineColor(2);
fvn_combinemassvnfit->SetLineWidth(1);
ROOT::Math::WrappedMultiTF1 wfmass_combinemassvnfit(*fmass_combinemassvnfit,1);
ROOT::Math::WrappedMultiTF1 wfvn_combinemassvnfit(*fvn_combinemassvnfit,1);
ROOT::Fit::DataOptions opt;
ROOT::Fit::DataRange range_massfit;
range_massfit.SetRange(fit_range_low,fit_range_high);
ROOT::Fit::BinData datamass(opt,range_massfit);
ROOT::Fit::FillData(datamass, h_data);
ROOT::Fit::DataRange range_vnfit;
range_vnfit.SetRange(fit_range_low,fit_range_high);
ROOT::Fit::BinData datavn(opt,range_vnfit);
ROOT::Fit::FillData(datavn, vn_data);
ROOT::Fit::Chi2Function chi2_B(datamass, wfmass_combinemassvnfit);
ROOT::Fit::Chi2Function chi2_SB(datavn, wfvn_combinemassvnfit);
GlobalChi2_poly3bkg_floatwidth globalChi2(chi2_B, chi2_SB);
ROOT::Fit::Fitter fitter;
const int Npar = 15;
double par0[Npar];
for( int ipar = 0; ipar < f->GetNpar(); ipar++ ) par0[ipar] = f->GetParameter(ipar);
par0[11] = 0.01;
par0[12] = 0.10;
par0[13] = 0.05;
par0[14] = 0.01;
fitter.Config().SetParamsSettings(Npar,par0);
// fix parameter
fitter.Config().ParSettings(0).Fix();
fitter.Config().ParSettings(1).Fix();
fitter.Config().ParSettings(2).Fix();
fitter.Config().ParSettings(3).Fix();
fitter.Config().ParSettings(4).Fix();
fitter.Config().ParSettings(5).Fix();
fitter.Config().ParSettings(6).Fix();
fitter.Config().ParSettings(7).Fix();
fitter.Config().ParSettings(8).Fix();
fitter.Config().ParSettings(9).Fix();
fitter.Config().ParSettings(10).Fix();
fitter.Config().MinimizerOptions().SetPrintLevel(0);
fitter.Config().SetMinimizer("Minuit2","Migrad");
fitter.FitFCN(Npar,globalChi2,0,datamass.Size()+datavn.Size(),true);
ROOT::Fit::FitResult result = fitter.Result();
result.Print(std::cout);
fmass_combinemassvnfit->SetFitResult( result, iparmassfit_poly3bkg_floatwidth);
fmass_combinemassvnfit->SetRange(range_massfit().first, range_massfit().second);
fmass_combinemassvnfit->SetLineColor(kRed);
h_data->GetListOfFunctions()->Add(fmass_combinemassvnfit);
//c->cd();
//h_data->Draw();
fvn_combinemassvnfit->SetFitResult( result, iparvnfit_poly3bkg_floatwidth);
fvn_combinemassvnfit->SetRange(range_vnfit().first, range_vnfit().second);
fvn_combinemassvnfit->SetLineColor(2);
//fvn_combinemassvnfit->SetLineStyle(2);
vn_data->GetListOfFunctions()->Add(fvn_combinemassvnfit);
vn_data->SetTitle("");
vn_data->SetMarkerSize(0.8);
vn_data->SetLineWidth(1);
//c1->cd();
vn_data->Draw("PESAME");
fvn[i] = (TF1*)fvn_combinemassvnfit->Clone();
fvn[i]->SetName(Form("vnfit_pt%d",i));
fvn[i]->Write();
fmasstotal[i] = (TF1*)fmass_combinemassvnfit->Clone();
fmasstotal[i]->SetName(Form("masstotalfcn_pt%d",i));
fmasstotal[i]->Write();
tex->DrawLatex(0.22,0.86,"185 #leq N_{trk}^{offline} < 250");
tex->DrawLatex(0.22,0.80,Form("%.1f < p_{T} < %.1f GeV",ptbin[i],ptbin[i+1]));
//tex->DrawLatex(0.22,0.74,"1.4 < |y_{cm}+0.46| < 2.4");
tex->DrawLatex(0.22,0.74,"-2.86 < y_{cm} < -1.86 or 0.94 < y_{cm} < 1.94");
//tex->DrawLatex(0.22,0.68,"|#Delta#eta| > 2");
//texCMS->DrawLatex(.18,.97,"#font[61]{CMS}");
texCMS->DrawLatex(.18,.97,"#font[61]{CMS} #it{Preliminary}");
texCMS->DrawLatex(0.73,0.97, "#scale[0.8]{pPb 8.16 TeV}");
v2[i] = fvn_combinemassvnfit->GetParameter(11);
v2e[i] = fvn_combinemassvnfit->GetParError(11);
v2_bkg[i] = fvn_combinemassvnfit->GetParameter(12) + fvn_combinemassvnfit->GetParameter(13) * JPsi_mass;
v2_ncq[i] = v2[i]/2.0;
v2e_ncq[i] = v2e[i]/2.0;
a[i] = fvn_combinemassvnfit->GetParameter(12);
b[i] = fvn_combinemassvnfit->GetParameter(13);
TF1* fvnbkg = new TF1(Form("fvnbkg_%d",1),"( [0] + [1] * x)", fit_range_low, fit_range_high);
fvnbkg->FixParameter(0,fvn_combinemassvnfit->GetParameter(12));
fvnbkg->FixParameter(1,fvn_combinemassvnfit->GetParameter(13));
fvnbkg->SetName(Form("fvnbkg_fcn_pt%d",i));
fvnbkg->Write();
fvnbkg->SetLineStyle(7);
//fvnbkg->Draw("LSAME");
TF1* fvnsig = new TF1(Form("fvnsig_%d",i),function_v2_sig,fit_range_low,fit_range_high,12);
for(int k=0;k<12;k++)
{
fvnsig->FixParameter(k,fvn_combinemassvnfit->GetParameter(k));
}
fvnsig->SetLineColor(kOrange-3);
fvnsig->SetLineWidth(1);
fvnsig->SetLineStyle(2);
fvnsig->SetFillColorAlpha(kOrange-3,0.3);
fvnsig->SetFillStyle(1001);
//fvnsig->Draw("LSAME");
TLegend* leg1 = new TLegend(0.72,0.525,0.91,0.65,NULL,"brNDC");
leg1->SetBorderSize(0);
leg1->SetTextSize(0.045);
leg1->SetTextFont(42);
leg1->SetFillStyle(0);
leg1->AddEntry(h_data,"data","p");
leg1->AddEntry(fvn_combinemassvnfit,"Fit","l");
//leg1->AddEntry(fvnsig,"#alpha(#it{m}_{#mu#mu})v_{2}^{S}","f");
leg1->Draw("SAME");
double xmass[200];
double pullmass[200];
float Chi2=0;
int ndf = (fit_range_high - fit_range_low)/0.01 - 8;
for(int k=0;k<h_data->GetNbinsX();k++)
{
xmass[k] = h_data->GetBinCenter(k);
pullmass[k] = (h_data->GetBinContent(k) - fmass_combinemassvnfit->Eval(xmass[k]))/h_data->GetBinError(k);
if(fabs(pullmass[k])<5)
{
//cout<<pullmass[k]<<endl;
Chi2 += pullmass[k]*pullmass[k];
}
}
c[i]->cd(1);
tex->DrawLatex(0.22,0.67,Form("#chi^{2}/ndf = %.0f/%d",Chi2,ndf));
double xv2[200];
double pullv2[200];
double v2y[200];
float Chi2v2=0;
int ndfv2 = 8 - 4; //Nbin - Npar
for(int k=0;k<vn_data->GetN()-1;k++)
{
vn_data->GetPoint(k,xv2[k],v2y[k]);
//xv2[k] = vn_dara->GetBinCenter(k);
pullv2[k] = (v2y[k] - fvn_combinemassvnfit->Eval(xv2[k]))/vn_data->GetErrorY(k);
cout<<k<<": "<<pullv2[k]<<endl;
if(fabs(pullv2[k])<1000)
{
//cout<<pullmass[k]<<endl;
Chi2v2 += pullv2[k]*pullv2[k];
}
cout<<"fcn: "<<fvn_combinemassvnfit->Eval(xv2[k])<<endl;
cout<<"data: "<<v2y[k]<<endl;
}
c[i]->cd(2);
tex->DrawLatex(0.22,0.67,Form("#chi^{2}/ndf = %.1f/%d",Chi2v2,ndfv2));
}
for(int i=0;i<npt;i++)
{
c[i]->Print(Form("plots/v30/eff/exp/JPsi_mass_vnfit_combine_pt%d.pdf",i));
c[i]->Print(Form("plots/v30/eff/exp/JPsi_mass_vnfit_combine_pt%d.gif",i));
}
TGraphErrors* v2plot = new TGraphErrors(npt,pt,v2,0,v2e);
TGraphErrors* v2ncqplot = new TGraphErrors(npt,KET_ncq,v2_ncq,0,v2e_ncq);
TGraphErrors* v2bkgplot = new TGraphErrors(npt,pt,v2_bkg,0,0);
v2plot->SetName("v2vspt");
v2ncqplot->SetName("v2vsKET_ncq");
v2bkgplot->SetName("v2bkgvspt");
v2plot->Write();
v2ncqplot->Write();
v2bkgplot->Write();
}
void combinedFit() {
TH1D * hB = new TH1D("hB","histo B",100,0,100);
TH1D * hSB = new TH1D("hSB","histo S+B",100, 0,100);
TF1 * fB = new TF1("fB","expo",0,100);
fB->SetParameters(1,-0.05);
hB->FillRandom("fB");
TF1 * fS = new TF1("fS","gaus",0,100);
fS->SetParameters(1,30,5);
hSB->FillRandom("fB",2000);
hSB->FillRandom("fS",1000);
// perform now global fit
TF1 * fSB = new TF1("fSB","expo + gaus(2)",0,100);
ROOT::Math::WrappedMultiTF1 wfB(*fB,1);
ROOT::Math::WrappedMultiTF1 wfSB(*fSB,1);
ROOT::Fit::DataOptions opt;
ROOT::Fit::DataRange rangeB;
// set the data range
rangeB.SetRange(10,90);
ROOT::Fit::BinData dataB(opt,rangeB);
ROOT::Fit::FillData(dataB, hB);
ROOT::Fit::DataRange rangeSB;
rangeSB.SetRange(10,50);
ROOT::Fit::BinData dataSB(opt,rangeSB);
ROOT::Fit::FillData(dataSB, hSB);
ROOT::Fit::Chi2Function chi2_B(dataB, wfB);
ROOT::Fit::Chi2Function chi2_SB(dataSB, wfSB);
GlobalChi2 globalChi2(chi2_B, chi2_SB);
ROOT::Fit::Fitter fitter;
const int Npar = 6;
double par0[Npar] = { 5,5,-0.1,100, 30,10};
// create before the parameter settings in order to fix or set range on them
fitter.Config().SetParamsSettings(6,par0);
// fix 5-th parameter
fitter.Config().ParSettings(4).Fix();
// set limits on the third and 4-th parameter
fitter.Config().ParSettings(2).SetLimits(-10,-1.E-4);
fitter.Config().ParSettings(3).SetLimits(0,10000);
fitter.Config().ParSettings(3).SetStepSize(5);
fitter.Config().MinimizerOptions().SetPrintLevel(0);
fitter.Config().SetMinimizer("Minuit2","Migrad");
// fit FCN function directly
// (specify optionally data size and flag to indicate that is a chi2 fit)
fitter.FitFCN(6,globalChi2,0,dataB.Size()+dataSB.Size(),true);
ROOT::Fit::FitResult result = fitter.Result();
result.Print(std::cout);
TCanvas * c1 = new TCanvas("Simfit","Simultaneous fit of two histograms",
10,10,700,700);
c1->Divide(1,2);
c1->cd(1);
gStyle->SetOptFit(1111);
fB->SetFitResult( result, iparB);
fB->SetRange(rangeB().first, rangeB().second);
fB->SetLineColor(kBlue);
hB->GetListOfFunctions()->Add(fB);
hB->Draw();
c1->cd(2);
fSB->SetFitResult( result, iparSB);
fSB->SetRange(rangeSB().first, rangeSB().second);
fSB->SetLineColor(kRed);
hSB->GetListOfFunctions()->Add(fSB);
hSB->Draw();
}
Int_t line3Dfit()
{
gStyle->SetOptStat(0);
gStyle->SetOptFit();
//double e = 0.1;
Int_t nd = 10000;
// double xmin = 0; double ymin = 0;
// double xmax = 10; double ymax = 10;
TGraph2D * gr = new TGraph2D();
// Fill the 2D graph
double p0[4] = {10,20,1,2};
// generate graph with the 3d points
for (Int_t N=0; N<nd; N++) {
double x,y,z = 0;
// Generate a random number
double t = gRandom->Uniform(0,10);
line(t,p0,x,y,z);
double err = 1;
// do a gaussian smearing around the points in all coordinates
x += gRandom->Gaus(0,err);
y += gRandom->Gaus(0,err);
z += gRandom->Gaus(0,err);
gr->SetPoint(N,x,y,z);
//dt->SetPointError(N,0,0,err);
}
// fit the graph now
ROOT::Fit::Fitter fitter;
// make the functor objet
SumDistance2 sdist(gr);
#ifdef __CINT__
ROOT::Math::Functor fcn(&sdist,4,"SumDistance2");
#else
ROOT::Math::Functor fcn(sdist,4);
#endif
// set the function and the initial parameter values
double pStart[4] = {1,1,1,1};
fitter.SetFCN(fcn,pStart);
// set step sizes different than default ones (0.3 times parameter values)
for (int i = 0; i < 4; ++i) fitter.Config().ParSettings(i).SetStepSize(0.01);
bool ok = fitter.FitFCN();
if (!ok) {
Error("line3Dfit","Line3D Fit failed");
return 1;
}
const ROOT::Fit::FitResult & result = fitter.Result();
std::cout << "Total final distance square " << result.MinFcnValue() << std::endl;
result.Print(std::cout);
gr->Draw("p0");
// get fit parameters
const double * parFit = result.GetParams();
// draw the fitted line
int n = 1000;
double t0 = 0;
double dt = 10;
TPolyLine3D *l = new TPolyLine3D(n);
for (int i = 0; i <n;++i) {
double t = t0+ dt*i/n;
double x,y,z;
line(t,parFit,x,y,z);
l->SetPoint(i,x,y,z);
}
l->SetLineColor(kRed);
l->Draw("same");
// draw original line
TPolyLine3D *l0 = new TPolyLine3D(n);
for (int i = 0; i <n;++i) {
double t = t0+ dt*i/n;
double x,y,z;
line(t,p0,x,y,z);
l0->SetPoint(i,x,y,z);
}
l0->SetLineColor(kBlue);
l0->Draw("same");
return 0;
}
void view_SMEvents_3D_from_Hits() {
/*** Displays an 3D occupancy plot for each SM Event. (stop mode event)
Can choose which SM event to start at. (find "CHOOSE THIS" in this script)
Input file must be a Hits file (_interpreted_Hits.root file).
***/
gROOT->Reset();
// Setting up file, treereader, histogram
TFile *f = new TFile("/home/pixel/pybar/tags/2.0.2_new/pyBAR-master/pybar/module_202_new/101_module_202_new_stop_mode_ext_trigger_scan_interpreted_Hits.root");
if (!f) { // if we cannot open the file, print an error message and return immediately
cout << "Error: cannot open the root file!\n";
//return;
}
TTreeReader *reader = new TTreeReader("Table", f);
TTreeReaderValue<UInt_t> h5_file_num(*reader, "h5_file_num");
TTreeReaderValue<Long64_t> event_number(*reader, "event_number");
TTreeReaderValue<UChar_t> tot(*reader, "tot");
TTreeReaderValue<UChar_t> relative_BCID(*reader, "relative_BCID");
TTreeReaderValue<Long64_t> SM_event_num(*reader, "SM_event_num");
TTreeReaderValue<Double_t> x(*reader, "x");
TTreeReaderValue<Double_t> y(*reader, "y");
TTreeReaderValue<Double_t> z(*reader, "z");
// Initialize the canvas and graph
TCanvas *c1 = new TCanvas("c1","3D Occupancy for Specified SM Event", 1000, 10, 900, 550);
c1->SetRightMargin(0.25);
TGraph2D *graph = new TGraph2D();
// Variables used to loop the main loop
bool endOfReader = false; // if reached end of the reader
bool quit = false; // if pressed q
int smEventNum = 1; // the current SM-event CHOOSE THIS to start at desired SM event number
// Main Loop (loops for every smEventNum)
while (!endOfReader && !quit) {
// Variables used in this main loop
int startEntryNum = 0;
int endEntryNum = 0;
string histTitle = "3D Occupancy for SM Event ";
string inString = "";
bool fitFailed = false; // true if the 3D fit failed
bool lastEvent = false;
// Declaring some important output values for the current graph and/or line fit
int numEntries = 0;
double sumSquares = 0;
// Get startEntryNum and endEntryNum
startEntryNum = getEntryNumWithSMEventNum(reader, smEventNum);
endEntryNum = getEntryNumWithSMEventNum(reader, smEventNum + 1);
if (startEntryNum == -2) { // can't find the smEventNum
cout << "Error: There should not be any SM event numbers that are missing." << "\n";
} else if (startEntryNum == -3) {
endOfReader = true;
break;
} else if (endEntryNum == -3) { // assuming no SM event nums are skipped
endEntryNum = reader->GetEntries(false);
lastEvent = true;
}
// Fill TGraph with points and set title and axes
graph = new TGraph2D(); // create a new TGraph to refresh
reader->SetEntry(startEntryNum);
for (int i = 0; i < endEntryNum - startEntryNum; i++) {
graph->SetPoint(i, (*x - 0.001), (*y + 0.001), (*z - 0.001));
endOfReader = !(reader->Next());
}
histTitle.append(to_string(smEventNum));
graph->SetTitle(histTitle.c_str());
graph->GetXaxis()->SetTitle("x (mm)");
graph->GetYaxis()->SetTitle("y (mm)");
graph->GetZaxis()->SetTitle("z (mm)");
graph->GetXaxis()->SetLimits(0, 20); // ROOT is buggy, x and y use setlimits()
graph->GetYaxis()->SetLimits(-16.8, 0); // but z uses setrangeuser()
graph->GetZaxis()->SetRangeUser(0, 40.96);
c1->SetTitle(histTitle.c_str());
// 3D Fit, display results, draw graph and line fit, only accept "good" events, get input
if (!endOfReader || lastEvent) {
// Display some results
numEntries = graph->GetN();
cout << "Current SM Event Number: " << smEventNum << "\n";
cout << "Number of entries: " << numEntries << "\n";
// Starting the fit. First, get decent starting parameters for the fit - do two 2D fits (one for x vs z, one for y vs z)
TGraph *graphZX = new TGraph();
TGraph *graphZY = new TGraph();
reader->SetEntry(startEntryNum);
for (int i = 0; i < endEntryNum - startEntryNum; i++) {
graphZX->SetPoint(i, (*z - 0.001), (*x + 0.001));
graphZY->SetPoint(i, (*z - 0.001), (*y + 0.001));
reader->Next();
}
TFitResultPtr fitZX = graphZX->Fit("pol1", "WQS"); // w for ignore error of each pt, q for quiet (suppress results output), s for return a tfitresultptr
TFitResultPtr fitZY = graphZY->Fit("pol1", "WQS");
Double_t param0 = fitZX->GetParams()[0];
Double_t param1 = fitZX->GetParams()[1];
Double_t param2 = fitZY->GetParams()[0];
Double_t param3 = fitZY->GetParams()[1];
// // Draw the lines for the two 2D fits
// int n = 2;
// TPolyLine3D *lineZX = new TPolyLine3D(n);
// TPolyLine3D *lineZY = new TPolyLine3D(n);
// lineZX->SetPoint(0, param0, 0, 0);
// lineZX->SetPoint(1, param0 + param1 * 40.96, 0, 40.96);
// lineZX->SetLineColor(kBlue);
// lineZX->Draw("same");
// lineZY->SetPoint(0, 0, param2, 0);
// lineZY->SetPoint(1, 0, param2 + param3 * 40.96, 40.96);
// lineZY->SetLineColor(kGreen);
// lineZY->Draw("same");
// 3D FITTING CODE (based on line3Dfit.C), draw graph and line fit
ROOT::Fit::Fitter fitter;
SumDistance2 sdist(graph);
#ifdef __CINT__
ROOT::Math::Functor fcn(&sdist,4,"SumDistance2");
#else
ROOT::Math::Functor fcn(sdist,4);
#endif
// set the function and the initial parameter values
double pStart[4] = {param0,param1,param2,param3};
fitter.SetFCN(fcn,pStart);
// set step sizes different than default ones (0.3 times parameter values)
for (int i = 0; i < 4; ++i) fitter.Config().ParSettings(i).SetStepSize(0.01);
bool ok = fitter.FitFCN();
if (!ok) {
Error("line3Dfit","Line3D Fit failed");
fitFailed = true;
} else {
const ROOT::Fit::FitResult & result = fitter.Result();
const double * fitParams = result.GetParams();
sumSquares = result.MinFcnValue();
std::cout << "Sum of distance squares: " << sumSquares << std::endl;
std::cout << "Sum of distance squares divided by numEntries: " << sumSquares/numEntries << std::endl;
std::cout << "Theta : " << TMath::ATan(sqrt(pow(fitParams[1], 2) + pow(fitParams[3], 2))) << std::endl;
// result.Print(std::cout); // (un)suppress results output
// Draw the graph
graph->SetMarkerStyle(8);
graph->SetMarkerSize(0.5);
graph->Draw("pcol");
// Draw the fitted line
int n = 1000;
double t0 = 0; // t is the z coordinate
double dt = 40.96;
TPolyLine3D *l = new TPolyLine3D(n);
for (int i = 0; i <n;++i) {
double t = t0+ dt*i/n;
double x,y,z;
line(t,fitParams,x,y,z);
l->SetPoint(i,x,y,z);
}
l->SetLineColor(kRed);
l->Draw("same");
// Access fit params and minfcnvalue
// cout << "FIT1: " << fitParams[1] << "\n";
// cout << "FIT2: " << result.MinFcnValue() << "\n";
}
// Criteria to be a good event (if not good entry, then don't show)
bool isGoodEvent = false;
// the following block of code finds the mean X, Y ans Z values
double meanX = 0;
double meanY = 0;
double meanZ = 0;
reader->SetEntry(startEntryNum);
for (int i = 0; i < endEntryNum - startEntryNum; i++) {
meanX += graph->GetX()[i];
meanY += graph->GetY()[i];
meanZ += graph->GetZ()[i];
reader->Next();
}
meanX /= endEntryNum - startEntryNum;
meanY /= endEntryNum - startEntryNum;
meanZ /= endEntryNum - startEntryNum;
// the following code block calculates the fraction of the hits in the smEvent that are inside a sphere, centered at the mean XYZ, of radius 'radius' (larger fraction means the track is less like a long streak and more like a dense blob)
double radius = 1; // length in mm
double fractionInsideSphere = 0;
reader->SetEntry(startEntryNum);
for (int i = 0; i < endEntryNum - startEntryNum; i++) {
double distanceFromMeanXYZ = sqrt(pow(graph->GetX()[i] - meanX, 2) + pow(graph->GetY()[i] - meanY, 2) + pow(graph->GetZ()[i] - meanZ, 2));
if (distanceFromMeanXYZ <= 2) {
fractionInsideSphere += 1;
}
reader->Next();
}
fractionInsideSphere /= endEntryNum - startEntryNum;
cout << "fraction inside sphere: " << fractionInsideSphere << "\n";
// if (numEntries >= 50
// && sumSquares/numEntries < 2.0
// && fractionInsideSphere < 0.8) {
// isGoodEvent = true;
// }
isGoodEvent = true;
if (isGoodEvent) { // won't show drawings or ask for input unless its a good event
c1->Update(); // show all the drawings
// handle input
bool inStringValid = false;
do {
cout << "<Enter>: next event; 'b': previous SM event; [number]: specific SM event number; 'q': quit.\n";
getline(cin, inString);
// Handles behavior according to input
if (inString.empty()) { // <Enter>
// leave things be
inStringValid = true;
} else if (inString.compare("b") == 0) {
smEventNum -= 2; // because it gets incremented once at the end of this do while loop
inStringValid = true;
} else if (inString.compare("q") == 0 || inString.compare(".q") == 0) {
quit = true;
inStringValid = true;
} else if (canConvertStringToPosInt(inString)) {
smEventNum = convertStringToPosInt(inString) - 1; // -1 because it gets incremented once at the end of this do while loop
inStringValid = true;
} // else, leave inStringValid as false, so that it asks for input again
} while (!inStringValid);
} else {
cout << "\n";
}
}
smEventNum++;
}
cout << "Exiting program.\n";
}
TF1* fit_histo_poly3bkg_floatwidth_poly2bkg_combinemassvnfit( bool isPbPb, int centlow, int centhigh, TH1D * histo, TH1D * h_mc_matched_signal, TH1D * h_mc_matched_kpiswapped, int ipt, TString cfgname, bool get_sig_bkg_ratio = false, TH1D * Ratio_signal_foreground = NULL, TH1D * h_vnvsmass = NULL, TH1D * h_vnvspt = NULL, TString vnorder = "v2", TString EPorSP = "SP", TH1D * h_vnvspt_bkg = NULL)
{
Double_t setparam0=100.;
Double_t setparam1=1.8648;
Double_t setparam2=0.03;
Double_t setparam3=0.005;
Double_t setparam4=0.1;
Double_t setparam7=0.1;
Double_t fixparam1=1.8648;
double fit_range_low = generalfitrange_masslow;
double fit_range_high = generalfitrange_masshigh;
double histomassbinsize = histo->GetBinWidth(10);
float ptmin = ptbins[ipt];
float ptmax = ptbins[ipt+1];
//remove the fit function from v2 fit when perform v3 fit
if( histo->GetListOfFunctions()->FindObject(Form("fmass_combinemassvnfit_%s_%d",cfgname.Data(),ipt)) )
histo->GetListOfFunctions()->Remove( histo->GetListOfFunctions()->FindObject(Form("fmass_combinemassvnfit_%s_%d",cfgname.Data(),ipt)) );
TH1F* histo_copy_nofitfun = ( TH1F * ) histo->Clone("histo_copy_nofitfun");
TH1F* histo_massfit = ( TH1F * ) histo->Clone("histo_massfit");
TCanvas* cfg= new TCanvas(Form("cfg_poly3bkg_floatwidth_poly2bkg_combinemassvnfit_%s_%d",cfgname.Data(),ipt),Form("cfg_poly3bkg_floatwidth_poly2bkg_combinemassvnfit_%s_%d",cfgname.Data(),ipt),600,600);
gPad->SetRightMargin(0.043);
gPad->SetLeftMargin(0.18);
gPad->SetTopMargin(0.1);
gPad->SetBottomMargin(0.145);
TF1* f = new TF1(Form("f_%s_%d",cfgname.Data(),ipt),"[0]*([5]*([4]*TMath::Gaus(x,[1],[2]*(1.0 +[6]))/(sqrt(2*3.14159)*[2]*(1.0 +[6]))+(1-[4])*TMath::Gaus(x,[1],[3]*(1.0 +[6]))/(sqrt(2*3.14159)*[3]*(1.0 +[6])))+(1-[5])*TMath::Gaus(x,[8],[7]*(1.0 +[6]))/(sqrt(2*3.14159)*[7]*(1.0 +[6]))) + [9] + [10]*x + [11]*x*x + [12]*x*x*x", fit_range_low, fit_range_high);
f->SetParLimits(10,-1000,1000);
f->SetParLimits(3,0.001,0.05);
f->SetParLimits(2,0.01,0.1);
f->SetParLimits(7,0.02,0.2);
f->SetParLimits(5,0,1);
f->SetParLimits(4,0,1);
f->SetParameter(0,setparam0);
f->SetParameter(1,setparam1);
f->SetParameter(2,setparam2);
f->SetParameter(3,setparam3);
f->SetParameter(4,setparam4);
f->FixParameter(7,setparam7);
f->FixParameter(8,setparam1);
f->FixParameter(5,1);
f->FixParameter(1,fixparam1);
f->FixParameter(9,0);
f->FixParameter(10,0);
f->FixParameter(11,0);
f->FixParameter(12,0);
f->FixParameter(6,0);
h_mc_matched_signal->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"q","",fit_range_low,fit_range_high);
h_mc_matched_signal->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"q","",fit_range_low,fit_range_high);
f->ReleaseParameter(1);
h_mc_matched_signal->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L q","",fit_range_low,fit_range_high);
h_mc_matched_signal->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L q","",fit_range_low,fit_range_high);
h_mc_matched_signal->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L m","",fit_range_low,fit_range_high);
f->FixParameter(1,f->GetParameter(1));
f->FixParameter(2,f->GetParameter(2));
f->FixParameter(3,f->GetParameter(3));
f->FixParameter(4,f->GetParameter(4));
f->FixParameter(5,0);
f->ReleaseParameter(7);
f->ReleaseParameter(8);
f->SetParameter(7,setparam7);
f->SetParameter(8,setparam1);//mean for swapped candidates
//if want to fix parameter 8 to parameter 1
//f->FixParameter(8,f->GetParameter(1));
h_mc_matched_kpiswapped->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L q","",fit_range_low,fit_range_high);
h_mc_matched_kpiswapped->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L q","",fit_range_low,fit_range_high);
h_mc_matched_kpiswapped->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L q","",fit_range_low,fit_range_high);
h_mc_matched_kpiswapped->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L m","",fit_range_low,fit_range_high);
f->FixParameter(5,h_mc_matched_signal->Integral(0,1000)/(h_mc_matched_kpiswapped->Integral(0,1000)+h_mc_matched_signal->Integral(0,1000)));
f->FixParameter(7,f->GetParameter(7));
f->FixParameter(8,f->GetParameter(8));
f->ReleaseParameter(9);
f->ReleaseParameter(10);
f->ReleaseParameter(11);
f->ReleaseParameter(12);
f->SetLineColor(kRed);
histo_massfit->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"q","",fit_range_low,fit_range_high);
histo_massfit->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"q","",fit_range_low,fit_range_high);
f->ReleaseParameter(1);
////Release Parameter 6 to float signal width
f->ReleaseParameter(6);
f->SetParameter(6,0);
f->SetParLimits(6,-1.0,1.0);
histo_massfit->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L q","",fit_range_low,fit_range_high);
histo_massfit->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L q","",fit_range_low,fit_range_high);
histo_massfit->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L q","",fit_range_low,fit_range_high);
histo_massfit->Fit(Form("f_%s_%d",cfgname.Data(),ipt),"L m","",fit_range_low,fit_range_high);
//begin combine fit
TF1* fmass_combinemassvnfit = new TF1(Form("fmass_combinemassvnfit_%s_%d",cfgname.Data(),ipt),"[0]*([5]*([4]*TMath::Gaus(x,[1],[2]*(1.0 +[6]))/(sqrt(2*3.14159)*[2]*(1.0 +[6]))+(1-[4])*TMath::Gaus(x,[1],[3]*(1.0 +[6]))/(sqrt(2*3.14159)*[3]*(1.0 +[6])))+(1-[5])*TMath::Gaus(x,[8],[7]*(1.0 +[6]))/(sqrt(2*3.14159)*[7]*(1.0 +[6]))) + [9] + [10]*x + [11]*x*x + [12]*x*x*x", fit_range_low, fit_range_high);
TF1* fvn_combinemassvnfit = new TF1(Form("fvn_combinemassvnfit_%s_%d",cfgname.Data(),ipt), "( ( [0]*([5]*([4]*TMath::Gaus(x,[1],[2]*(1.0 +[6]))/(sqrt(2*3.14159)*[2]*(1.0 +[6]))+(1-[4])*TMath::Gaus(x,[1],[3]*(1.0 +[6]))/(sqrt(2*3.14159)*[3]*(1.0 +[6])))+(1-[5])*TMath::Gaus(x,[8],[7]*(1.0 +[6]))/(sqrt(2*3.14159)*[7]*(1.0 +[6]))) ) / ( [0]*([5]*([4]*TMath::Gaus(x,[1],[2]*(1.0 +[6]))/(sqrt(2*3.14159)*[2]*(1.0 +[6]))+(1-[4])*TMath::Gaus(x,[1],[3]*(1.0 +[6]))/(sqrt(2*3.14159)*[3]*(1.0 +[6])))+(1-[5])*TMath::Gaus(x,[8],[7]*(1.0 +[6]))/(sqrt(2*3.14159)*[7]*(1.0 +[6]))) + [9] + [10]*x + [11]*x*x + [12]*x*x*x ) ) * [13] + ( 1.0 - ( ( [0]*([5]*([4]*TMath::Gaus(x,[1],[2]*(1.0 +[6]))/(sqrt(2*3.14159)*[2]*(1.0 +[6]))+(1-[4])*TMath::Gaus(x,[1],[3]*(1.0 +[6]))/(sqrt(2*3.14159)*[3]*(1.0 +[6])))+(1-[5])*TMath::Gaus(x,[8],[7]*(1.0 +[6]))/(sqrt(2*3.14159)*[7]*(1.0 +[6]))) ) / ( [0]*([5]*([4]*TMath::Gaus(x,[1],[2]*(1.0 +[6]))/(sqrt(2*3.14159)*[2]*(1.0 +[6]))+(1-[4])*TMath::Gaus(x,[1],[3]*(1.0 +[6]))/(sqrt(2*3.14159)*[3]*(1.0 +[6])))+(1-[5])*TMath::Gaus(x,[8],[7]*(1.0 +[6]))/(sqrt(2*3.14159)*[7]*(1.0 +[6]))) + [9] + [10]*x + [11]*x*x + [12]*x*x*x ) ) ) * ( [14] + [15] * x + [16] * x * x)", fit_range_low, fit_range_high);
ROOT::Math::WrappedMultiTF1 wfmass_combinemassvnfit(*fmass_combinemassvnfit,1);
ROOT::Math::WrappedMultiTF1 wfvn_combinemassvnfit(*fvn_combinemassvnfit,1);
ROOT::Fit::DataOptions opt;
ROOT::Fit::DataRange range_massfit;
// set the data range
range_massfit.SetRange(fit_range_low,fit_range_high);
ROOT::Fit::BinData datamass(opt,range_massfit);
ROOT::Fit::FillData(datamass, histo);
ROOT::Fit::DataRange range_vnfit;
range_vnfit.SetRange(fit_range_low,fit_range_high);
ROOT::Fit::BinData datavn(opt,range_vnfit);
ROOT::Fit::FillData(datavn, h_vnvsmass);
ROOT::Fit::Chi2Function chi2_B(datamass, wfmass_combinemassvnfit);
ROOT::Fit::Chi2Function chi2_SB(datavn, wfvn_combinemassvnfit);
GlobalChi2_poly3bkg_floatwidth_poly2bkg globalChi2(chi2_B, chi2_SB);
ROOT::Fit::Fitter fitter;
const int Npar = 17;
double par0[Npar];
for( int ipar = 0; ipar < f->GetNpar(); ipar++ )
par0[ipar] = f->GetParameter(ipar);
par0[13] = 0.01;
par0[14] = 0.10;
par0[15] = 0.05;
par0[16] = 0.05;
// create before the parameter settings in order to fix or set range on them
fitter.Config().SetParamsSettings(Npar,par0);
// fix parameter
fitter.Config().ParSettings(2).Fix();
fitter.Config().ParSettings(3).Fix();
fitter.Config().ParSettings(4).Fix();
fitter.Config().ParSettings(5).Fix();
fitter.Config().ParSettings(7).Fix();
fitter.Config().ParSettings(8).Fix();
// set limits on the third and 4-th parameter
fitter.Config().ParSettings(1).SetLimits(1.7, 2.0);
//fitter.Config().ParSettings(12).SetStepSize(0.005);
//fitter.Config().UseWeightCorrection();
fitter.Config().MinimizerOptions().SetPrintLevel(0);
fitter.Config().SetMinimizer("Minuit2","Migrad");
// fit FCN function directly
// (specify optionally data size and flag to indicate that is a chi2 fit)
//fitter.FitFCN(Npar,globalChi2,0,datamass.Size()+datavn.Size(),false);
fitter.FitFCN(Npar,globalChi2,0,datamass.Size()+datavn.Size(),true);
ROOT::Fit::FitResult result = fitter.Result();
result.Print(std::cout);
fmass_combinemassvnfit->SetFitResult( result, iparmassfit_poly3bkg_floatwidth_poly2bkg);
fmass_combinemassvnfit->SetRange(range_massfit().first, range_massfit().second);
fmass_combinemassvnfit->SetLineColor(kRed);
histo->GetListOfFunctions()->Add(fmass_combinemassvnfit);
fvn_combinemassvnfit->SetFitResult( result, iparvnfit_poly3bkg_floatwidth_poly2bkg);
fvn_combinemassvnfit->SetRange(range_vnfit().first, range_vnfit().second);
fvn_combinemassvnfit->SetLineColor(4.0);
fvn_combinemassvnfit->SetLineStyle(2);
h_vnvsmass->GetListOfFunctions()->Add(fvn_combinemassvnfit);
h_vnvspt->SetBinContent( ipt+1, fvn_combinemassvnfit->GetParameter(13));
h_vnvspt->SetBinError( ipt+1, fvn_combinemassvnfit->GetParError(13));
//double x[2] = {1.73, 1.864};
//double error[2];
//does not work
//result.GetConfidenceIntervals(2, 1, 1, x, error, 0.683, false);
//h_vnvspt_bkg->SetBinContent( ipt+1, fvn_combinemassvnfit->GetParameter(13) + fvn_combinemassvnfit->GetParameter(14) * 1.864);
//h_vnvspt_bkg->SetBinError( ipt+1, error[0]);
h_vnvspt_bkg->SetBinContent( ipt+1, fvn_combinemassvnfit->GetParameter(14) + fvn_combinemassvnfit->GetParameter(15) * 1.864 + fvn_combinemassvnfit->GetParameter(16) * 1.864 * 1.864);
h_vnvspt_bkg->SetBinError( ipt+1, 0. );
TCanvas* cfg_massfit_combinemassvn = new TCanvas(Form("cfg_poly3bkg_floatwidth_poly2bkg_combinemassvnfit_massfit_combinemassvn_%s_%d_%s_%s",cfgname.Data(),ipt,vnorder.Data(),EPorSP.Data()),Form("cfg_poly3bkg_floatwidth_poly2bkg_combinemassvnfit_massfit_combinemassvn_%s_%d_%s_%s",cfgname.Data(),ipt,vnorder.Data(),EPorSP.Data()),600,600);
gPad->SetRightMargin(0.043);
gPad->SetLeftMargin(0.18);
// gPad->SetTopMargin(0.1);
gPad->SetBottomMargin(0.145);
histo->SetXTitle("m_{#piK} (GeV/c^{2})");
histo->SetYTitle("Entries / (5 MeV/c^{2})");
histo->GetXaxis()->CenterTitle();
histo->GetYaxis()->CenterTitle();
//histo->SetAxisRange(0,histo->GetMaximum()*1.4*1.2,"Y");
histo->GetXaxis()->SetRangeUser(fit_range_low+0.0001,fit_range_high-0.0001);
histo->GetXaxis()->SetTitleOffset(1.3);
histo->GetYaxis()->SetTitleOffset(1.8);
histo->GetXaxis()->SetLabelOffset(0.007);
histo->GetYaxis()->SetLabelOffset(0.007);
histo->GetXaxis()->SetTitleSize(0.045);
histo->GetYaxis()->SetTitleSize(0.045);
histo->GetXaxis()->SetTitleFont(42);
histo->GetYaxis()->SetTitleFont(42);
histo->GetXaxis()->SetLabelFont(42);
histo->GetYaxis()->SetLabelFont(42);
histo->GetXaxis()->SetLabelSize(0.04);
histo->GetYaxis()->SetLabelSize(0.04);
histo->SetMarkerSize(0.8);
histo->SetMarkerStyle(20);
histo->SetStats(0);
histo->Draw("e");
TF1* background = new TF1(Form("background_%s_%d",cfgname.Data(),ipt),"[0]+[1]*x+[2]*x*x+[3]*x*x*x");
background->SetParameter(0,fmass_combinemassvnfit->GetParameter(9));
background->SetParameter(1,fmass_combinemassvnfit->GetParameter(10));
background->SetParameter(2,fmass_combinemassvnfit->GetParameter(11));
background->SetParameter(3,fmass_combinemassvnfit->GetParameter(12));
background->SetLineColor(4);
background->SetRange(fit_range_low,fit_range_high);
background->SetLineStyle(2);
TF1* mass = new TF1(Form("fmass_%s_%d",cfgname.Data(),ipt),"[0]*([5]*([4]*Gaus(x,[1],[2]*(1.0 +[6]))/(sqrt(2*3.14159)*[2]*(1.0 +[6]))+(1-[4])*Gaus(x,[1],[3]*(1.0 +[6]))/(sqrt(2*3.14159)*[3]*(1.0 +[6]))))");
mass->SetParameters(f->GetParameter(0),f->GetParameter(1),f->GetParameter(2),f->GetParameter(3),f->GetParameter(4),f->GetParameter(5),f->GetParameter(6));
mass->SetParError(0,f->GetParError(0));
mass->SetParError(1,f->GetParError(1));
mass->SetParError(2,f->GetParError(2));
mass->SetParError(3,f->GetParError(3));
mass->SetParError(4,f->GetParError(4));
mass->SetParError(5,f->GetParError(5));
mass->SetParError(6,f->GetParError(6));
mass->SetFillColor(kOrange-3);
mass->SetFillStyle(3002);
mass->SetLineColor(kOrange-3);
mass->SetLineWidth(3);
mass->SetLineStyle(2);
TF1* massSwap = new TF1(Form("fmassSwap_%s_%d",cfgname.Data(),ipt),"[0]*(1-[2])*Gaus(x,[1],[3]*(1.0 +[4]))/(sqrt(2*3.14159)*[3]*(1.0 +[4]))");
massSwap->SetParameters(fmass_combinemassvnfit->GetParameter(0),fmass_combinemassvnfit->GetParameter(8),fmass_combinemassvnfit->GetParameter(5),fmass_combinemassvnfit->GetParameter(7),fmass_combinemassvnfit->GetParameter(6));
massSwap->SetParError(0,fmass_combinemassvnfit->GetParError(0));
massSwap->SetParError(1,fmass_combinemassvnfit->GetParError(8));
massSwap->SetParError(2,fmass_combinemassvnfit->GetParError(5));
massSwap->SetParError(3,fmass_combinemassvnfit->GetParError(7));
massSwap->SetParError(4,fmass_combinemassvnfit->GetParError(6));
massSwap->SetFillColor(kGreen+4);
massSwap->SetFillStyle(3005);
massSwap->SetLineColor(kGreen+4);
massSwap->SetLineWidth(3);
massSwap->SetLineStyle(1);
background->Draw("same");
mass->SetRange(fit_range_low,fit_range_high);
mass->Draw("same");
massSwap->SetRange(fit_range_low,fit_range_high);
massSwap->Draw("same");
Double_t yield = mass->Integral(fit_range_low,fit_range_high)/histomassbinsize;
Double_t yieldErr = mass->Integral(fit_range_low,fit_range_high)/histomassbinsize*mass->GetParError(0)/mass->GetParameter(0);
TLegend* leg = new TLegend(0.65,0.58,0.82,0.88,NULL,"brNDC");
leg->SetBorderSize(0);
leg->SetTextSize(0.04);
leg->SetTextFont(42);
leg->SetFillStyle(0);
leg->AddEntry(histo,"Data","pl");
leg->AddEntry(fmass_combinemassvnfit,"Fit","l");
leg->AddEntry(mass,"D^{0}+#bar{D^{#lower[0.2]{0}}} Signal","f");
leg->AddEntry(massSwap,"K-#pi swapped","f");
leg->AddEntry(background,"Combinatorial","l");
leg->Draw("same");
TLatex Tl;
Tl.SetNDC();
Tl.SetTextAlign(12);
Tl.SetTextSize(0.05);
Tl.SetTextFont(42);
Tl.DrawLatex(0.18,0.965, "#font[61]{CMS}");
if( isPbPb )
Tl.DrawLatex(0.61,0.965, "#scale[0.8]{PbPb #sqrt{s_{NN}} = 5.02 TeV}");
else
Tl.DrawLatex(0.65,0.965, "#scale[0.8]{pp #sqrt{s_{NN}} = 5.02 TeV}");
TLatex* tex;
if( isPbPb )
{
tex = new TLatex(0.22,0.83,"|y| < 1.0");
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
tex = new TLatex(0.22,0.78,Form("Cent. %d-%d%%", centlow, centhigh));
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
tex = new TLatex(0.22,0.73,Form("%.1f < p_{T} < %.1f GeV/c",ptmin,ptmax));
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
tex = new TLatex(0.22,0.68,Form("N_{sig}: %d #pm %d",int(yield),int(yieldErr)));
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
}
else
{
tex = new TLatex(0.22,0.83,"|y| < 1.0");
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
tex = new TLatex(0.22,0.78,Form("%.1f < p_{T} < %.1f GeV/c",ptmin,ptmax));
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
tex = new TLatex(0.22,0.73,Form("N_{sig}: %d #pm %d",int(yield),int(yieldErr)));
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
}
histo_copy_nofitfun->Draw("esame");
if( get_sig_bkg_ratio )
{
for(int ibin = 0; ibin < histo->GetNbinsX(); ibin++)
{
double foreground = 0.;
double signal = 0.;
double ratio = 0.;
double ratioError = 999.;
double massbinleftedge = massmin + histomassbinsize * ibin;
double massbinrightedge = massmin + histomassbinsize * (ibin+1);
if( massbinleftedge > (fit_range_low - 0.0002) && massbinrightedge < (fit_range_high + 0.0002) )
{
foreground = f->Integral(massbinleftedge, massbinrightedge)/histomassbinsize;
//foregroundErr = f->IntegralError(massbinleftedge, massbinrightedge)/histomassbinsize;
//foreground = histo->Integral(ibin+1, ibin+1);
signal = mass->Integral(massbinleftedge, massbinrightedge)/histomassbinsize + massSwap->Integral(massbinleftedge, massbinrightedge)/histomassbinsize;
//signal = mass->Integral(massbinleftedge, massbinrightedge)/histomassbinsize;
//signal = foreground - background->Integral(massbinleftedge, massbinrightedge)/histomassbinsize;
//signalErr = signal * yieldErr/yield;
if( foreground > 0 )
{
ratio = signal/foreground;
ratioError = TMath::Sqrt( foreground * ratio * (1.0 - ratio) ) / foreground;
}
else
{
ratio = 0.5;
ratioError = 0.5;
}
}
else
{
ratio = 0.0;
ratioError = 1.0;
}
Ratio_signal_foreground->SetBinContent(ibin+1, ratio);
Ratio_signal_foreground->SetBinError(ibin+1, ratioError);
}
TF1* Func_Ratio_signal_foreground = new TF1(Form("Func_Ratio_signal_foreground_%s_%d",cfgname.Data(),ipt),"([0]*([5]*([4]*TMath::Gaus(x,[1],[2]*(1.0 +[6]))/(sqrt(2*3.14159)*[2]*(1.0 +[6]))+(1-[4])*TMath::Gaus(x,[1],[3]*(1.0 +[6]))/(sqrt(2*3.14159)*[3]*(1.0 +[6])))+(1-[5])*TMath::Gaus(x,[8],[7]*(1.0 +[6]))/(sqrt(2*3.14159)*[7]*(1.0 +[6]))))/([0]*([5]*([4]*TMath::Gaus(x,[1],[2]*(1.0 +[6]))/(sqrt(2*3.14159)*[2]*(1.0 +[6]))+(1-[4])*TMath::Gaus(x,[1],[3]*(1.0 +[6]))/(sqrt(2*3.14159)*[3]*(1.0 +[6])))+(1-[5])*TMath::Gaus(x,[8],[7]*(1.0 +[6]))/(sqrt(2*3.14159)*[7]*(1.0 +[6]))) + [9] + [10]*x + [11]*x*x + [12]*x*x*x)", generalfitrange_masslow, generalfitrange_masshigh);
for( int ipar = 0; ipar < 13; ipar++ )
{
Func_Ratio_signal_foreground->SetParameter( ipar, f->GetParameter(ipar));
Func_Ratio_signal_foreground->SetParError(ipar, f->GetParError(ipar));
}
Func_Ratio_signal_foreground->SetLineColor(2.0);
Ratio_signal_foreground->GetListOfFunctions()->Add(Func_Ratio_signal_foreground);
}
if(isPbPb)
{
cfg_massfit_combinemassvn->SaveAs(Form("Plots_vn/combinemassvnfit/DMass_combinemassvnfit_isPbPb%d_%s_cent%dto%d_%d_%s_%s_poly3bkg_floatwidth_poly2bkg_combinemassvnfit.pdf", isPbPb, cfgname.Data(), centlow, centhigh, ipt, vnorder.Data(),EPorSP.Data()));
cfg_massfit_combinemassvn->SaveAs(Form("Plots_vn/combinemassvnfit/DMass_combinemassvnfit_isPbPb%d_%s_cent%dto%d_%d_%s_%s_poly3bkg_floatwidth_poly2bkg_combinemassvnfit.png", isPbPb, cfgname.Data(), centlow, centhigh, ipt, vnorder.Data(),EPorSP.Data()));
}
TCanvas* cfg_vnfit_combinemassvn = new TCanvas(Form("cfg_poly3bkg_floatwidth_poly2bkg_combinemassvnfit_vnfit_combinemassvn_%s_%d_%s_%s",cfgname.Data(),ipt,vnorder.Data(),EPorSP.Data()),Form("cfg_poly3bkg_floatwidth_poly2bkg_combinemassvnfit_vnfit_combinemassvn_%s_%d_%s_%s",cfgname.Data(),ipt,vnorder.Data(),EPorSP.Data()),600,600);
h_vnvsmass->GetYaxis()->SetRangeUser(-0.2, 0.6);
if( vnorder == "v2") h_vnvsmass->GetYaxis()->SetTitle("v_{2}");
if( vnorder == "v3") h_vnvsmass->GetYaxis()->SetTitle("v_{3}");
h_vnvsmass->GetXaxis()->SetTitle("m_{#piK} (GeV/c^{2})");
h_vnvsmass->GetXaxis()->SetTitleSize(0.05);
h_vnvsmass->GetYaxis()->SetTitleSize(0.05);
h_vnvsmass->SetMarkerColor(4.0);
h_vnvsmass->SetLineColor(4.0);
h_vnvsmass->SetMarkerStyle(21);
h_vnvsmass->SetMarkerSize(1.3);
h_vnvsmass->Draw();
TLatex Tl2;
Tl2.SetNDC();
Tl2.SetTextAlign(12);
Tl2.SetTextSize(0.05);
Tl2.SetTextFont(42);
Tl2.DrawLatex(0.125,0.965, "#font[61]{CMS}");
Tl2.DrawLatex(0.57,0.965, "#scale[0.8]{PbPb #sqrt{s_{NN}} = 5.02 TeV}");
tex = new TLatex(0.18,0.83,"|y| < 1.0");
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
tex = new TLatex(0.18,0.78,Form("Cent. %d-%d%%", centlow, centhigh));
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
tex = new TLatex(0.18,0.73,Form("%.1f < p_{T} < %.1f GeV/c",ptmin,ptmax));
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
if( vnorder == "v2" )
tex = new TLatex(0.55,0.83,Form("v_{2}^{sig} = %.3f #pm %.3f",fvn_combinemassvnfit->GetParameter(13), fvn_combinemassvnfit->GetParError(13)));
else if( vnorder == "v3" )
tex = new TLatex(0.55,0.83,Form("v_{3}^{sig} = %.3f #pm %.3f",fvn_combinemassvnfit->GetParameter(13), fvn_combinemassvnfit->GetParError(13)));
tex->SetNDC();
tex->SetTextFont(42);
tex->SetTextSize(0.04);
tex->SetLineWidth(2);
tex->Draw();
if(isPbPb)
{
cfg_vnfit_combinemassvn->SaveAs(Form("Plots_vn/combinemassvnfit/cfg_vnfit_combinemassvn_%s_cent%dto%d_%d_%s_%s_poly3bkg_floatwidth_poly2bkg_combinemassvnfit.pdf",cfgname.Data(),centlow,centhigh,ipt,vnorder.Data(),EPorSP.Data()));
cfg_vnfit_combinemassvn->SaveAs(Form("Plots_vn/combinemassvnfit/cfg_vnfit_combinemassvn_%s_cent%dto%d_%d_%s_%s_poly3bkg_floatwidth_poly2bkg_combinemassvnfit.png",cfgname.Data(),centlow,centhigh,ipt,vnorder.Data(),EPorSP.Data()));
}
return mass;
}
Int_t line3dfit_copy()
{
gStyle->SetOptStat(0);
gStyle->SetOptFit();
//double e = 0.1;
// Int_t nd = 5;
// double xmin = 0; double ymin = 0;
// double xmax = 10; double ymax = 10;
TGraph2D * gr = new TGraph2D();
// Fill the 2D graph
// double p0[4] = {10,20,1,2};
// generate graph with the 3d points
// for (Int_t N=0; N<nd; N++) {
// double x,y,z = 0;
// // Generate a random number
// double t = gRandom->Uniform(0,10);
// line(t,p0,x,y,z);
// double err = 1;
// // do a gaussian smearing around the points in all coordinates
// x += gRandom->Gaus(0,err);
// y += gRandom->Gaus(0,err);
// z += gRandom->Gaus(0,err);
// gr->SetPoint(N,x,y,z);
// //dt->SetPointError(N,0,0,err);
// }
// gr->SetPoint(0, 3, 3, 5);
// gr->SetPoint(1, 3, 3, 3);
// gr->SetPoint(2, 4, 3.5, 5);
// gr->SetPoint(3, 6.2, 7.3, 5.8);
// gr->SetPoint(4, 9, 8, 7);
// gr->SetPoint(5, 5, 5, 5);
gr->SetPoint(0, 19, -4.25, 1.92);
gr->SetPoint(1, 19, -4.30, 1.92);
gr->SetPoint(2, 19, -4.35, 1.92);
gr->SetPoint(3, 19, -4.40, 1.92);
gr->SetPoint(4, 19, -4.45, 1.92);
gr->SetPoint(5, 19, -4.50, 1.92);
gr->SetPoint(6, 19, -4.55, 1.92);
gr->SetPoint(7, 19, -4.60, 1.92);
gr->SetPoint(8, 18.75, -4.30, 1.92);
gr->SetPoint(9, 18.75, -4.35, 1.92);
gr->SetPoint(10, 18.75, -4.40, 1.92);
gr->SetPoint(11, 18.75, -4.45, 1.92);
gr->SetPoint(12, 18.75, -4.50, 1.92);
gr->SetPoint(13, 18.75, -4.55, 1.92);
gr->SetPoint(14, 19, -4.20, 2.08);
gr->SetPoint(15, 19, -4.65, 2.08);
gr->SetPoint(16, 19, -4.70, 2.08);
gr->SetPoint(17, 18.75, -4.25, 2.08);
gr->SetPoint(18, 18.75, -4.60, 2.08);
// gr->SetPoint(19, 19.001, -4.151, 2.241);
// gr->SetPoint(20, 18.751, -4.201, 2.241);
gr->SetPoint(19, 19., -4.15, 2.24);
gr->SetPoint(20, 18.5723, -4.20, 2.24);
// gr->SetMarkerStyle(8);
// gr->Draw("p");
// gr->Draw("p0");
// TFitResultPtr fit = gr->Fit("pol1", "WS");
// // fit->Print("V");
// Double_t p0 = fit->Value(0);
// Double_t p1 = fit->Value(1);
// // draw the line
// TPolyLine3D *l = new TPolyLine3D(2);
// double dz = 8;
// l->SetPoint(0,0,0,p0);
// l->SetPoint(1,dz,0,dz * p1);
// l->SetLineColor(kRed);
// l->Draw("same");
// fit the graph now, and make the functor objet
ROOT::Fit::Fitter fitter;
SumDistance2 sdist(gr);
#ifdef __CINT__
ROOT::Math::Functor fcn(&sdist,4,"SumDistance2");
#else
ROOT::Math::Functor fcn(sdist,4);
#endif
// set the function and the initial parameter values
double pStart[4] = {1,1,1,1};
fitter.SetFCN(fcn,pStart);
// set step sizes different than default ones (0.3 times parameter values)
for (int i = 0; i < 4; ++i) fitter.Config().ParSettings(i).SetStepSize(0.01);
bool ok = fitter.FitFCN();
if (!ok) {
Error("line3Dfit","Line3D Fit failed");
return 1;
}
const ROOT::Fit::FitResult & result = fitter.Result();
std::cout << "Total final distance square " << result.MinFcnValue() << std::endl;
// result.Print(std::cout); // @@@ suppress output
// get fit parameters
const double * parFit = result.GetParams();
// draw the fitted line
int n = 1000;
double t0 = 0;
double dt = 10;
TPolyLine3D *l = new TPolyLine3D(n);
for (int i = 0; i <n;++i) {
double t = t0+ dt*i/n;
double x,y,z;
line(t,parFit,x,y,z);
l->SetPoint(i,x,y,z);
}
l->SetLineColor(kRed);
l->Draw("same");
// Access to fit params and minfcnvalue
cout << parFit[1] << "\n";
cout << result.MinFcnValue() << "\n";
// // draw original line
// TPolyLine3D *l0 = new TPolyLine3D(n);
// for (int i = 0; i <n;++i) {
// double t = t0+ dt*i/n;
// double x,y,z;
// line(t,p0,x,y,z);
// l0->SetPoint(i,x,y,z);
// }
// l0->SetLineColor(kBlue);
// l0->Draw("same");
return 0;
}