--- /dev/null
+/*
+ several function used for PbPb combined spectra
+ Blast Wave is also implemented here
+ further documentation will come
+
+ author: Roberto Preghenella
+ email : preghenella@bo.infn.it
+*/
+
+
+/*****************************************************************/
+/* BOLTZMANN
+/*****************************************************************/
+
+Double_t
+Boltzmann_Func(const Double_t *x, const Double_t *p)
+{
+ /* dN/dpt */
+
+ Double_t pt = x[0];
+ Double_t mass = p[0];
+ Double_t mt = TMath::Sqrt(pt * pt + mass * mass);
+ Double_t T = p[1];
+ Double_t norm = p[2];
+
+ return pt * norm * mt * TMath::Exp(-mt / T);
+}
+
+TF1 *
+Boltzmann(const Char_t *name, Double_t mass, Double_t T = 0.1, Double_t norm = 1.)
+{
+
+ TF1 *fBoltzmann = new TF1(name, Boltzmann_Func, 0., 10., 3);
+ fBoltzmann->SetParameters(mass, T, norm);
+ fBoltzmann->SetParNames("mass", "T", "norm");
+ fBoltzmann->FixParameter(0, mass);
+ return fBoltzmann;
+}
+
+/*****************************************************************/
+/* LEVY-TSALLIS */
+/*****************************************************************/
+
+Double_t
+LevyTsallis_Func(const Double_t *x, const Double_t *p)
+{
+ /* dN/dpt */
+
+ Double_t pt = x[0];
+ Double_t mass = p[0];
+ Double_t mt = TMath::Sqrt(pt * pt + mass * mass);
+ Double_t n = p[1];
+ Double_t C = p[2];
+ Double_t norm = p[3];
+
+ Double_t part1 = (n - 1.) * (n - 2);
+ Double_t part2 = n * C * (n * C + mass * (n - 2.));
+ Double_t part3 = part1 / part2;
+ Double_t part4 = 1. + (mt - mass) / n / C;
+ Double_t part5 = TMath::Power(part4, -n);
+ return pt * norm * part3 * part5;
+}
+
+TF1 *
+LevyTsallis(const Char_t *name, Double_t mass, Double_t n = 5., Double_t C = 0.1, Double_t norm = 1.)
+{
+
+ TF1 *fLevyTsallis = new TF1(name, LevyTsallis_Func, 0., 10., 4);
+ fLevyTsallis->SetParameters(mass, n, C, norm);
+ fLevyTsallis->SetParNames("mass", "n", "C", "norm");
+ fLevyTsallis->FixParameter(0, mass);
+ return fLevyTsallis;
+}
+
+/*****************************************************************/
+/* BOLTZMANN-GIBBS BLAST-WAVE */
+/*****************************************************************/
+
+static TF1 *fBGBlastWave_Integrand = NULL;
+Double_t
+BGBlastWave_Integrand(const Double_t *x, const Double_t *p)
+{
+
+ /*
+ x[0] -> r (radius)
+ p[0] -> mT (transverse mass)
+ p[1] -> pT (transverse momentum)
+ p[2] -> beta_max (surface velocity)
+ p[3] -> T (freezout temperature)
+ p[4] -> n (velocity profile)
+ */
+
+ Double_t r = x[0];
+ Double_t mt = p[0];
+ Double_t pt = p[1];
+ Double_t beta_max = p[2];
+ Double_t temp_1 = 1. / p[3];
+ Double_t n = p[4];
+
+ Double_t beta = beta_max * TMath::Power(r, n);
+ if (beta > 0.9999999999999999) beta = 0.9999999999999999;
+ Double_t rho = TMath::ATanH(beta);
+ Double_t argI0 = pt * TMath::SinH(rho) * temp_1;
+ if (argI0 > 700.) argI0 = 700.;
+ Double_t argK1 = mt * TMath::CosH(rho) * temp_1;
+ // if (argI0 > 100 || argI0 < -100)
+ // printf("r=%f, pt=%f, beta_max=%f, temp=%f, n=%f, mt=%f, beta=%f, rho=%f, argI0=%f, argK1=%f\n", r, pt, beta_max, 1. / temp_1, n, mt, beta, rho, argI0, argK1);
+ return r * mt * TMath::BesselI0(argI0) * TMath::BesselK1(argK1);
+
+}
+
+Double_t
+BGBlastWave_Func(const Double_t *x, const Double_t *p)
+{
+ /* dN/dpt */
+
+ Double_t pt = x[0];
+ Double_t mass = p[0];
+ Double_t mt = TMath::Sqrt(pt * pt + mass * mass);
+ Double_t beta_max = p[1];
+ Double_t temp = p[2];
+ Double_t n = p[3];
+ Double_t norm = p[4];
+
+ if (!fBGBlastWave_Integrand)
+ fBGBlastWave_Integrand = new TF1("fBGBlastWave_Integrand", BGBlastWave_Integrand, 0., 1., 5);
+ fBGBlastWave_Integrand->SetParameters(mt, pt, beta_max, temp, n);
+ Double_t integral = fBGBlastWave_Integrand->Integral(0., 1.);
+ return norm * pt * integral;
+}
+
+TF1 *
+BGBlastWave(const Char_t *name, Double_t mass, Double_t beta_max = 0.9, Double_t temp = 0.1, Double_t n = 1., Double_t norm = 1.e6)
+{
+
+ TF1 *fBGBlastWave = new TF1(name, BGBlastWave_Func, 0., 10., 5);
+ fBGBlastWave->SetParameters(mass, beta_max, temp, n, norm);
+ fBGBlastWave->SetParNames("mass", "beta_max", "T", "n", "norm");
+ fBGBlastWave->FixParameter(0, mass);
+ fBGBlastWave->SetParLimits(1, 0.01, 0.99);
+ fBGBlastWave->SetParLimits(2, 0.01, 1.);
+ fBGBlastWave->SetParLimits(3, 0.1, 10.);
+ return fBGBlastWave;
+}
+
+/*****************************************************************/
+/* TSALLIS BLAST-WAVE */
+/*****************************************************************/
+
+static TF1 *fTsallisBlastWave_Integrand_r = NULL;
+Double_t
+TsallisBlastWave_Integrand_r(const Double_t *x, const Double_t *p)
+{
+ /*
+ x[0] -> r (radius)
+ p[0] -> mT (transverse mass)
+ p[1] -> pT (transverse momentum)
+ p[2] -> beta_max (surface velocity)
+ p[3] -> T (freezout temperature)
+ p[4] -> n (velocity profile)
+ p[5] -> q
+ p[6] -> y (rapidity)
+ p[7] -> phi (azimuthal angle)
+ */
+
+ Double_t r = x[0];
+ Double_t mt = p[0];
+ Double_t pt = p[1];
+ Double_t beta_max = p[2];
+ Double_t temp_1 = 1. / p[3];
+ Double_t n = p[4];
+ Double_t q = p[5];
+ Double_t y = p[6];
+ Double_t phi = p[7];
+
+ if (q <= 1.) return r;
+
+ Double_t beta = beta_max * TMath::Power(r, n);
+ Double_t rho = TMath::ATanH(beta);
+
+ Double_t part1 = mt * TMath::CosH(y) * TMath::CosH(rho);
+ Double_t part2 = pt * TMath::SinH(rho) * TMath::Cos(phi);
+ Double_t part3 = part1 - part2;
+ Double_t part4 = 1 + (q - 1.) * temp_1 * part3;
+ Double_t expo = -1. / (q - 1.);
+ // printf("part1=%f, part2=%f, part3=%f, part4=%f, expo=%f\n", part1, part2, part3, part4, expo);
+ Double_t part5 = TMath::Power(part4, expo);
+
+ return r * part5;
+}
+
+static TF1 *fTsallisBlastWave_Integrand_phi = NULL;
+Double_t
+TsallisBlastWave_Integrand_phi(const Double_t *x, const Double_t *p)
+{
+ /*
+ x[0] -> phi (azimuthal angle)
+ */
+
+ Double_t phi = x[0];
+ fTsallisBlastWave_Integrand_r->SetParameter(7, phi);
+ Double_t integral = fTsallisBlastWave_Integrand_r->Integral(0., 1.);
+ return integral;
+}
+
+static TF1 *fTsallisBlastWave_Integrand_y = NULL;
+Double_t
+TsallisBlastWave_Integrand_y(const Double_t *x, const Double_t *p)
+{
+ /*
+ x[0] -> y (rapidity)
+ */
+
+ Double_t y = x[0];
+ fTsallisBlastWave_Integrand_r->SetParameter(6, y);
+ Double_t integral = fTsallisBlastWave_Integrand_phi->Integral(-TMath::Pi(), TMath::Pi());
+ return TMath::CosH(y) * integral;
+}
+
+Double_t
+TsallisBlastWave_Func(const Double_t *x, const Double_t *p)
+{
+ /* dN/dpt */
+
+ Double_t pt = x[0];
+ Double_t mass = p[0];
+ Double_t mt = TMath::Sqrt(pt * pt + mass * mass);
+ Double_t beta_max = p[1];
+ Double_t temp = p[2];
+ Double_t n = p[3];
+ Double_t q = p[4];
+ Double_t norm = p[5];
+
+ if (!fTsallisBlastWave_Integrand_r)
+ fTsallisBlastWave_Integrand_r = new TF1("fTsallisBlastWave_Integrand_r", TsallisBlastWave_Integrand_r, 0., 1., 8);
+ if (!fTsallisBlastWave_Integrand_phi)
+ fTsallisBlastWave_Integrand_phi = new TF1("fTsallisBlastWave_Integrand_phi", TsallisBlastWave_Integrand_phi, -TMath::Pi(), TMath::Pi(), 0);
+ if (!fTsallisBlastWave_Integrand_y)
+ fTsallisBlastWave_Integrand_y = new TF1("fTsallisBlastWave_Integrand_y", TsallisBlastWave_Integrand_y, -0.5, 0.5, 0);
+
+ fTsallisBlastWave_Integrand_r->SetParameters(mt, pt, beta_max, temp, n, q, 0., 0.);
+ Double_t integral = fTsallisBlastWave_Integrand_y->Integral(-0.5, 0.5);
+ return norm * pt * integral;
+}
+
+TF1 *
+TsallisBlastWave(const Char_t *name, Double_t mass, Double_t beta_max = 0.9, Double_t temp = 0.1, Double_t n = 1., Double_t q = 2., Double_t norm = 1.e6)
+{
+
+ TF1 *fTsallisBlastWave = new TF1(name, TsallisBlastWave_Func, 0., 10., 6);
+ fTsallisBlastWave->SetParameters(mass, beta_max, temp, n, q, norm);
+ fTsallisBlastWave->SetParNames("mass", "beta_max", "T", "n", "q", "norm");
+ fTsallisBlastWave->FixParameter(0, mass);
+ fTsallisBlastWave->SetParLimits(1, 0.01, 0.99);
+ fTsallisBlastWave->SetParLimits(2, 0.01, 1.);
+ fTsallisBlastWave->SetParLimits(3, 0.1, 10.);
+ fTsallisBlastWave->SetParLimits(4, 1., 10.);
+ return fTsallisBlastWave;
+}
+
+/*****************************************************************/
+/*****************************************************************/
+/*****************************************************************/
+
+
+TF1 *
+BGBlastWave_SingleFit(TH1 *h, Double_t mass, Option_t *opt = "")
+{
+
+ TF1 *f = BGBlastWave(Form("fBGBW_%s", h->GetName()), mass);
+ h->Fit(f);
+ h->Fit(f);
+ h->Fit(f, opt);
+ return f;
+
+}
+
+Int_t nBW;
+TF1 *fBGBW[1000];
+TGraphErrors *gBW[1000];
+
+TObjArray *
+BGBlastWave_GlobalFit(TObjArray *data, Double_t *mass, Double_t profile = 1., Bool_t fixProfile = kFALSE)
+{
+
+ /* get data */
+ nBW = data->GetEntries();
+ for (Int_t idata = 0; idata < nBW; idata++) {
+ gBW[idata] = (TGraphErrors *)data->At(idata);
+ gBW[idata]->SetName(Form("gBW%d", idata));
+ }
+
+ /* init BG blast-wave functions */
+ for (Int_t idata = 0; idata < nBW; idata++) {
+ printf("init BG-BlastWave function #%d: mass = %f\n", idata, mass[idata]);
+ fBGBW[idata] = BGBlastWave(Form("fBGBW%d", idata), mass[idata]);
+ }
+
+ /* display data */
+ TCanvas *cBW = new TCanvas("cBW");
+ cBW->Divide(nBW, 1);
+ for (Int_t idata = 0; idata < nBW; idata++) {
+ cBW->cd(idata + 1);
+ gBW[idata]->Draw("ap*");
+ }
+ cBW->Update();
+
+ /* init minuit: nBW normalizations + 3 (beta, T, n) BG-BlastWave params */
+ const Int_t nbwpars = 3;
+ const Int_t nfitpars = nBW + nbwpars;
+ TMinuit *minuit = new TMinuit(nfitpars);
+ minuit->SetFCN(BGBlastWave_FCN);
+ Double_t arglist[10];
+ Int_t ierflg = 0;
+ arglist[0] = 1;
+ minuit->mnexcm("SET ERR", arglist, 1, ierflg);
+ for (Int_t idata = 0; idata < nBW; idata++)
+ minuit->mnparm(idata, Form("norm%d", idata), 1.e6, 1., 0., 0., ierflg);
+ minuit->mnparm(nBW + 0, "<beta>", 0.5, 0.1, 0., 1., ierflg);
+ minuit->mnparm(nBW + 1, "T", 0.2, 0.1, 0., 1., ierflg);
+ minuit->mnparm(nBW + 2, "n", profile, 0.1, 0., 10., ierflg);
+ if (fixProfile) minuit->FixParameter(nBW + 2);
+
+ /* set strategy */
+ arglist[0] = 1;
+ minuit->mnexcm("SET STRATEGY", arglist, 1, ierflg);
+
+ /* start MIGRAD minimization */
+ arglist[0] = 500000;
+ arglist[1] = 1.;
+ minuit->mnexcm("MIGRAD", arglist, 2, ierflg);
+
+ /* set strategy */
+ arglist[0] = 2;
+ minuit->mnexcm("SET STRATEGY", arglist, 1, ierflg);
+
+ /* start MIGRAD minimization */
+ arglist[0] = 500000;
+ arglist[1] = 1.;
+ minuit->mnexcm("MIGRAD", arglist, 2, ierflg);
+
+ /* start IMPROVE minimization */
+ arglist[0] = 500000;
+ minuit->mnexcm("IMPROVE", arglist, 1, ierflg);
+
+ /* start MINOS */
+ arglist[0] = 500000;
+ arglist[1] = nBW + 1;
+ arglist[2] = nBW + 2;
+ arglist[3] = nBW + 3;
+ minuit->mnexcm("MINOS", arglist, 4, ierflg);
+
+ /* print results */
+ Double_t amin,edm,errdef;
+ Int_t nvpar,nparx,icstat;
+ minuit->mnstat(amin, edm, errdef, nvpar, nparx, icstat);
+ minuit->mnprin(4, amin);
+
+ /* get parameters */
+ Double_t beta, betae, betaeplus, betaeminus, betagcc, temp, tempe, tempeplus, tempeminus, tempgcc, prof, profe, profeplus, profeminus, profgcc;
+ minuit->GetParameter(nBW + 0, beta, betae);
+ minuit->mnerrs(nBW + 0, betaeplus, betaeminus, betae, betagcc);
+ minuit->GetParameter(nBW + 1, temp, tempe);
+ minuit->mnerrs(nBW + 1, tempeplus, tempeminus, tempe, tempgcc);
+ minuit->GetParameter(nBW + 2, prof, profe);
+ minuit->mnerrs(nBW + 2, profeplus, profeminus, profe, profgcc);
+ Double_t beta_max = 0.5 * (2. + prof) * beta;
+ Double_t norm[1000], norme[1000];
+ for (Int_t idata = 0; idata < nBW; idata++)
+ minuit->GetParameter(idata, norm[idata], norme[idata]);
+
+ /* printout */
+ printf("*********************************\n");
+ printf("beta_max = %f\n", beta_max);
+ printf("<beta> = %f +- %f (e+ = %f, e- = %f)\n", beta, betae, betaeplus, betaeminus);
+ printf("T = %f +- %f (e+ = %f, e- = %f)\n", temp, tempe, tempeplus, tempeminus);
+ printf("n = %f +- %f (e+ = %f, e- = %f)\n", prof, profe, profeplus, profeminus);
+
+ /* 1-sigma contour */
+ minuit->SetErrorDef(1);
+ TGraph *gCont1 = NULL;
+ gCont1 = (TGraph *) minuit->Contour(50, nBW + 0, nBW + 1);
+ if (gCont1) gCont1->SetName("gCont1");
+
+ /* 2-sigma contour */
+ minuit->SetErrorDef(4);
+ TGraph *gCont2 = NULL;
+ // gCont2 = (TGraph *) minuit->Contour(50, nBW + 0, nBW + 1);
+ if (gCont2) gCont2->SetName("gCont2");
+
+ /* display fits */
+ for (Int_t idata = 0; idata < nBW; idata++) {
+ cBW->cd(idata + 1);
+ fBGBW[idata]->SetParameter(4, norm[idata]);
+ fBGBW[idata]->SetParameter(1, beta_max);
+ fBGBW[idata]->SetParameter(2, temp);
+ fBGBW[idata]->SetParameter(3, prof);
+ fBGBW[idata]->Draw("same");
+ }
+ cBW->Update();
+
+ /* histo params */
+ TH1D *hBW = new TH1D("hBW", "", 3, 0., 3.);
+ hBW->SetBinContent(1, beta);
+ hBW->SetBinError(1, betae);
+ hBW->SetBinContent(2, temp);
+ hBW->SetBinError(2, tempe);
+ hBW->SetBinContent(3, prof);
+ hBW->SetBinError(3, profe);
+
+ /* BW graph */
+ TGraphAsymmErrors *gBetaT = new TGraphAsymmErrors();
+ gBetaT->SetName("gBetaT");
+ gBetaT->SetPoint(0, beta, temp);
+ gBetaT->SetPointEXlow(0, TMath::Abs(betaeminus));
+ gBetaT->SetPointEXhigh(0, TMath::Abs(betaeplus));
+ gBetaT->SetPointEYlow(0, TMath::Abs(tempeminus));
+ gBetaT->SetPointEYhigh(0, TMath::Abs(tempeplus));
+
+ /* prepare output array */
+ TObjArray *outoa = new TObjArray();
+ for (Int_t idata = 0; idata < nBW; idata++) {
+ outoa->Add(gBW[idata]);
+ outoa->Add(fBGBW[idata]);
+ }
+ outoa->Add(cBW);
+ outoa->Add(hBW);
+ outoa->Add(gBetaT);
+ if (gCont1) outoa->Add(gCont1);
+ if (gCont2) outoa->Add(gCont2);
+
+ return outoa;
+
+}
+
+void
+BGBlastWave_FCN(Int_t &npar, Double_t *gin, Double_t &f, Double_t *par, Int_t iflag)
+{
+
+ /* beta -> beta_max */
+ Double_t beta = par[nBW+0];
+ Double_t T = par[nBW+1];
+ Double_t n = par[nBW+2];
+ Double_t beta_max = 0.5 * (2. + n) * beta;
+#if 0
+ /* check beta_max */
+ if (beta_max >= 1. || beta_max <= 0.) {
+ f = kMaxInt;
+ return;
+ }
+ /* check T */
+ if (T <= 0.) {
+ f = kMaxInt;
+ return;
+ }
+#endif
+
+ Double_t pt, pte, val, vale, func, pull, chi = 0;
+ /* loop over all the data */
+ for (Int_t iBW = 0; iBW < nBW; iBW++) {
+ /* set BGBW parameters */
+ fBGBW[iBW]->SetParameter(4, par[iBW]);
+ fBGBW[iBW]->SetParameter(1, beta_max);
+ fBGBW[iBW]->SetParameter(2, T);
+ fBGBW[iBW]->SetParameter(3, n);
+ /* loop over all the points */
+ for (Int_t ipt = 0; ipt < gBW[iBW]->GetN(); ipt++) {
+ pt = gBW[iBW]->GetX()[ipt];
+ pte = gBW[iBW]->GetEX()[ipt];
+ val = gBW[iBW]->GetY()[ipt];
+ vale = gBW[iBW]->GetEY()[ipt];
+ func = fBGBW[iBW]->Eval(pt);
+ // func = fBGBW[iBW]->Integral(pt - pte, pt + pte);
+ pull = (val - func) / vale;
+ chi += pull * pull;
+ }
+ }
+
+ f = chi;
+}
+
+/*****************************************************************/
+
+GetYieldAndMean(TH1 *h, TF1 *f, Double_t &yield, Double_t &yielderr, Double_t &mean, Double_t &meanerr, Double_t min, Double_t max, Double_t *partyield, Double_t *partyielderr)
+{
+
+ /* find lowest edge in histo */
+ Int_t binlo;
+ Double_t lo;
+ for (Int_t ibin = 1; ibin < h->GetNbinsX() + 1; ibin++) {
+ if (h->GetBinContent(ibin) != 0.) {
+ binlo = ibin;
+ lo = h->GetBinLowEdge(ibin);
+ break;
+ }
+ }
+
+ /* find highest edge in histo */
+ Int_t binhi;
+ Double_t hi;
+ for (Int_t ibin = h->GetNbinsX(); ibin > 0; ibin--) {
+ if (h->GetBinContent(ibin) != 0.) {
+ binhi = ibin + 1;
+ hi = h->GetBinLowEdge(ibin + 1);
+ break;
+ }
+ }
+
+ /* integrate the data */
+ Double_t cont, err, width, cent, integral_data = 0., integralerr_data = 0., meanintegral_data = 0., meanintegralerr_data = 0.;
+ for (Int_t ibin = binlo; ibin < binhi; ibin++) {
+ cent = h->GetBinCenter(ibin);
+ width = h->GetBinWidth(ibin);
+ cont = h->GetBinContent(ibin);
+ err = h->GetBinError(ibin);
+ /* check we didn't get an empty bin in between */
+ if (cont != 0. && err != 0.) {
+ /* all right, use data */
+ integral_data += cont * width;
+ integralerr_data += err * err * width * width;
+ meanintegral_data += cont * width * cent;
+ meanintegralerr_data += err * err * width * width * cent * cent;
+ }
+ else {
+ /* missing data-point, complain and use function */
+ printf("WARNING: missing data-point at %f\n", cent);
+ printf(" using function as a patch\n");
+ integral_data += f->Integral(h->GetBinLowEdge(ibin), h->GetBinLowEdge(ibin+1));
+ integralerr_data += f->IntegralError(h->GetBinLowEdge(ibin), h->GetBinLowEdge(ibin+1), 0, 0, 1.e-6);
+ meanintegral_data += f->Mean(h->GetBinLowEdge(ibin), h->GetBinLowEdge(ibin+1)) * f->Integral(h->GetBinLowEdge(ibin), h->GetBinLowEdge(ibin+1));
+ meanintegralerr_data += f->Mean(h->GetBinLowEdge(ibin), h->GetBinLowEdge(ibin+1)) * f->IntegralError(h->GetBinLowEdge(ibin), h->GetBinLowEdge(ibin+1), 0, 0, 1.e-6);
+ }
+ }
+ integralerr_data = TMath::Sqrt(integralerr_data);
+ meanintegralerr_data = TMath::Sqrt(meanintegralerr_data);
+
+ /* integrate below the data */
+ Double_t integral_lo = min < lo ? f->Integral(min, lo) : 0.;
+ Double_t integralerr_lo = min < lo ? f->IntegralError(min, lo, 0, 0, 1.e-6) : 0.;
+ Double_t meanintegral_lo = min < lo ? f->Mean(min, lo) * integral_lo : 0.;
+ Double_t meanintegralerr_lo = min < lo ? f->Mean(min, lo) * integralerr_lo : 0.;
+
+ /* integrate above the data */
+ Double_t integral_hi = max > hi ? f->Integral(hi, max) : 0.;
+ Double_t integralerr_hi = max > hi ? f->IntegralError(hi, max, 0, 0, 1.e-6) : 0.;
+ Double_t meanintegral_hi = max > hi ? f->Mean(hi, max) * integral_hi : 0.;
+ Double_t meanintegralerr_hi = max > hi ? f->Mean(hi, max) * integralerr_hi : 0.;
+
+ /* compute integrated yield */
+ yield = integral_data + integral_lo + integral_hi;
+ yielderr = TMath::Sqrt(integralerr_data * integralerr_data +
+ integralerr_lo * integralerr_lo +
+ integralerr_hi * integralerr_hi);
+
+ /* compute integrated mean */
+ mean = (meanintegral_data + meanintegral_lo + meanintegral_hi) / yield;
+ meanerr = TMath::Sqrt(meanintegralerr_data * meanintegralerr_data +
+ meanintegralerr_lo * meanintegralerr_lo +
+ meanintegralerr_hi * meanintegralerr_hi) / yield;
+
+ /* set partial yields */
+ partyield[0] = integral_data;
+ partyielderr[0] = integralerr_data;
+ partyield[1] = integral_lo;
+ partyielderr[1] = integralerr_lo;
+ partyield[2] = integral_hi;
+ partyielderr[2] = integralerr_hi;
+
+}
+
+/*****************************************************************/
+
+Double_t
+y2eta(Double_t pt, Double_t mass, Double_t y){
+ Double_t mt = TMath::Sqrt(mass * mass + pt * pt);
+ return TMath::ASinH(mt / pt * TMath::SinH(y));
+}
+Double_t
+eta2y(Double_t pt, Double_t mass, Double_t eta){
+ Double_t mt = TMath::Sqrt(mass * mass + pt * pt);
+ return TMath::ASinH(pt / mt * TMath::SinH(eta));
+}
+
+TH1 *
+Convert_dNdy_1over2pipt_dNdeta(TH1 *hin, Double_t mass, Double_t y = 0.5)
+{
+
+ TH1 *hout = hin->Clone("hout");
+ hout->Reset();
+ Double_t pt, mt, conv, val, vale;
+ for (Int_t ibin = 0; ibin < hin->GetNbinsX(); ibin++) {
+ pt = hin->GetBinCenter(ibin + 1);
+ conv = y / y2eta(pt, mass, y);
+ val = hin->GetBinContent(ibin + 1);
+ vale = hin->GetBinError(ibin + 1);
+ val /= (2. * TMath::Pi() * pt);
+ vale /= (2. * TMath::Pi() * pt);
+ val *= conv;
+ vale *= conv;
+ hout->SetBinContent(ibin + 1, val);
+ hout->SetBinError(ibin + 1, vale);
+ }
+ return hout;
+}
+
+TH1 *
+SummedId_1over2pipt_dNdeta(const Char_t *filename, Int_t icent)
+{
+
+ const Char_t *chargeName[2] = {
+ "plus", "minus"
+ };
+
+ TFile *filein = TFile::Open(filename);
+ TH1 *hy[AliPID::kSPECIES][2];
+ TH1 *heta[AliPID::kSPECIES][2];
+ for (Int_t ipart = 2; ipart < AliPID::kSPECIES; ipart++)
+ for (Int_t icharge = 0; icharge < 2; icharge++) {
+ hy[ipart][icharge] = (TH1 *)filein->Get(Form("cent%d_%s_%s", icent, AliPID::ParticleName(ipart), chargeName[icharge]));
+ if (!hy[ipart][icharge]) {
+ printf("cannot find cent%d_%s_%s\n", icent, AliPID::ParticleName(ipart), chargeName[icharge]);
+ return NULL;
+ }
+ heta[ipart][icharge] = Convert_dNdy_1over2pipt_dNdeta(hy[ipart][icharge], AliPID::ParticleMass(ipart));
+ }
+
+ /* sum */
+ TH1D *hsum = heta[2][0]->Clone("hsum");
+ hsum->Reset();
+ for (Int_t ipart = 2; ipart < AliPID::kSPECIES; ipart++)
+ for (Int_t icharge = 0; icharge < 2; icharge++)
+ hsum->Add(heta[ipart][icharge]);
+
+ return hsum;
+}
+
+/*****************************************************************/
+
git://git.uio.no / u / mrichter / AliRoot.git / commitdiff