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Removing try/catch-es
[u/mrichter/AliRoot.git] / PWG2 / SPECTRA / Fit / AliBWTools.cxx
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4c0d7bc7 1// ----------------------------------------------------------------------
2// AliBWTools
3//
4// This class provides some tools which can be useful in the analsis
5// of spectra, to fit or transform histograms. See the comments of the
6// individual methods for details
7//
8// Author: M. Floris (CERN)
9// ----------------------------------------------------------------------
10
11#include "AliBWTools.h"
12#include "TH1D.h"
13#include "TF1.h"
14#include "TH1.h"
15#include "TMath.h"
16#include "TGraphErrors.h"
17#include "TVirtualFitter.h"
18#include "TMinuit.h"
19#include "AliLog.h"
20#include <iostream>
21
22using namespace std;
23
4c0d7bc7 24
25ClassImp(AliBWTools)
26
90421222 27TF1 * AliBWTools::fdNdptForETCalc = 0;
28
4c0d7bc7 29AliBWTools::AliBWTools() {
30 // ctor
31}
32
33AliBWTools::~AliBWTools(){
34 // dtor
35}
36
3beb22a2 37TH1 * AliBWTools::GetdNdmtFromdNdpt(const TH1 * hpt, Double_t mass) {
4c0d7bc7 38 // convert the x axis from pt to mt. Assumes you have 1/pt dNdpt in the histo you start with
39
40 Int_t nbins = hpt->GetNbinsX();
41 Float_t * xbins = new Float_t[nbins+1];
42 for(Int_t ibins = 0; ibins <= nbins; ibins++){
43 xbins[ibins] = TMath::Sqrt(hpt->GetBinLowEdge(ibins+1)*hpt->GetBinLowEdge(ibins+1) +
0e019ec6 44 mass *mass) - mass;
77233d47 45 // // xbins[ibins] = TMath::Sqrt(hpt->GetBinLowEdge(ibins+1)*hpt->GetBinLowEdge(ibins+1) +
46 // // mass *mass);
4c0d7bc7 47 // cout << ibins << " "<< xbins[ibins] << endl;
48
49 }
50
51 TH1D * hmt = new TH1D(TString(hpt->GetName())+"_mt",
52 TString(hpt->GetName())+"_mt",
53 nbins, xbins);
54 for(Int_t ibins = 1; ibins <= nbins; ibins++){
55 hmt->SetBinContent(ibins, hpt->GetBinContent(ibins));
56 hmt->SetBinError(ibins, hpt->GetBinError(ibins));
57
58 }
59
60 hmt->SetXTitle("m_{t} - m_{0} (GeV/c^{2})");
61 hmt->SetYTitle("1/m_{t} dN/dm_{t} (a.u.)");
0e019ec6 62 hmt->SetMarkerStyle(hpt->GetMarkerStyle());
63 hmt->SetMarkerColor(hpt->GetMarkerColor());
64 hmt->SetLineColor(hpt->GetLineColor());
65
4c0d7bc7 66 return hmt;
67
68}
69
9ca56c22 70TH1 * AliBWTools::GetdNdptFromdNdmt(const TH1 * hmt, Double_t mass) {
71 // convert the x axis from mt to pt. Assumes you have 1/mt dNdmt in the histo you start with
72
73 Int_t nbins = hmt->GetNbinsX();
74 Float_t * xbins = new Float_t[nbins+1];
75 for(Int_t ibins = 0; ibins <= nbins; ibins++){
76 xbins[ibins] = TMath::Sqrt((hmt->GetBinLowEdge(ibins+1)+mass)*(hmt->GetBinLowEdge(ibins+1)+mass) -
77 mass *mass);
78 xbins[ibins] = Float_t(TMath::Nint(xbins[ibins]*100))/100;
79 // // xbins[ibins] = TMath::Sqrt(hmt->GetBinLowEdge(ibins+1)*hmt->GetBinLowEdge(ibins+1) +
80 // // mass *mass);
81 cout << ibins << " "<< xbins[ibins] << endl;
82
83 }
84
85 TH1D * hptL = new TH1D(TString(hmt->GetName())+"_pt",
86 TString(hmt->GetName())+"_pt",
87 nbins, xbins);
88 for(Int_t ibins = 1; ibins <= nbins; ibins++){
89 hptL->SetBinContent(ibins, hmt->GetBinContent(ibins));
90 hptL->SetBinError(ibins, hmt->GetBinError(ibins));
91
92 }
93
94 hptL->SetXTitle("p_{t} (GeV/c)");
95 hptL->SetYTitle("1/p_{t} dN/dp_{t} (a.u.)");
96 hptL->SetMarkerStyle(hmt->GetMarkerStyle());
97 hptL->SetMarkerColor(hmt->GetMarkerColor());
98 hptL->SetLineColor(hmt->GetLineColor());
99
100 return hptL;
101
102}
103
104
3beb22a2 105TH1 * AliBWTools::GetdNdPtFromOneOverPt(const TH1 * h1Pt) {
4c0d7bc7 106
107 // convert an histo from 1/pt dNdpt to dNdpt, using the pt at the center of the bin
108
109
110 TH1 * hPt = (TH1 *) h1Pt->Clone((TString(h1Pt->GetName()) + "_inv").Data());
111 hPt->Reset();
112
113 Int_t nbinx = hPt->GetNbinsX();
114
115 for(Int_t ibinx = 1; ibinx <= nbinx; ibinx++){
116
117 Double_t cont = h1Pt->GetBinContent(ibinx);
118 Double_t err = h1Pt->GetBinError(ibinx);
119
120 Double_t pt = h1Pt->GetBinCenter(ibinx);
121
c3c47c65 122 if(pt > 0) {
4c0d7bc7 123 cont *= pt;
124 err *= pt;
125 } else {
126 cont = 0;
127 err = 0;
128 }
129
130 hPt->SetBinContent(ibinx, cont);
131 hPt->SetBinError(ibinx, err);
132
133 }
134
135 hPt->SetXTitle("p_{t} (GeV)");
136 hPt->SetYTitle("dN/dp_{t} (GeV^{-2})");
137
138 return hPt;
139
140}
141
142
143
144
3beb22a2 145TH1 * AliBWTools::GetOneOverPtdNdPt(const TH1 * hPt) {
4c0d7bc7 146
147 // convert an histo from dNdpt to 1/pt dNdpt, using the pt at the center of the bin
148
149 TH1 * h1Pt = (TH1 *) hPt->Clone((TString(hPt->GetName()) + "_inv").Data());
150 h1Pt->Reset();
151
152 Int_t nbinx = h1Pt->GetNbinsX();
153
154 for(Int_t ibinx = 1; ibinx <= nbinx; ibinx++){
155
156 Double_t cont = hPt->GetBinContent(ibinx);
157 Double_t err = hPt->GetBinError(ibinx);
158
159 Double_t pt = hPt->GetBinCenter(ibinx);
160
c3c47c65 161 if(pt > 0) {
4c0d7bc7 162 cont /= pt;
163 err /= pt;
164 } else {
165 cont = 0;
166 err = 0;
167 }
168
169 h1Pt->SetBinContent(ibinx, cont);
170 h1Pt->SetBinError(ibinx, err);
171
172 }
173
174 h1Pt->SetXTitle("p_{t} (GeV)");
175 h1Pt->SetYTitle("1/p_{t} dN/dp_{t} (GeV^{-2})");
176
177 return h1Pt;
178
179}
180
181
3beb22a2 182TGraphErrors * AliBWTools::GetGraphFromHisto(const TH1F * h, Bool_t binWidth) {
4c0d7bc7 183 // Convert a histo to a graph
184 // if binWidth is true ex is set to the bin width of the histos, otherwise it is set to zero
185 Int_t nbin = h->GetNbinsX();
186
187 TGraphErrors * g = new TGraphErrors();
188 Int_t ipoint = 0;
189 for(Int_t ibin = 1; ibin <= nbin; ibin++){
190 Double_t xerr = binWidth ? h->GetBinWidth(ibin)/2 : 0;
3beb22a2 191 if (h->GetBinContent(ibin)) {
4c0d7bc7 192 g->SetPoint (ipoint, h->GetBinCenter(ibin), h->GetBinContent(ibin));
193 g->SetPointError(ipoint, xerr, h->GetBinError(ibin));
194 ipoint++;
195 }
196 }
197
198 g->SetMarkerStyle(h->GetMarkerStyle());
199 g->SetMarkerColor(h->GetMarkerColor());
200 g->SetLineColor(h->GetLineColor());
2210b002 201 g->SetLineStyle(h->GetLineStyle());
202 g->SetLineWidth(h->GetLineWidth());
4c0d7bc7 203
204 g->SetTitle(h->GetTitle());
205 g->SetName(TString("g_")+h->GetName());
206
207 return g;
208
209}
210
3beb22a2 211TH1F * AliBWTools::GetHistoFromGraph(const TGraphErrors * g, const TH1F* hTemplate) {
4c0d7bc7 212
213 // convert a graph to histo with the binning of hTemplate.
214 // Warning: the template should be chosen
215 // properly: if you have two graph points in the same histo bin this
216 // won't work!
217
218 TH1F * h = (TH1F*) hTemplate->Clone(TString("h_")+g->GetName());
219 h->Reset();
220 Int_t npoint = g->GetN();
221 // g->Print();
222 for(Int_t ipoint = 0; ipoint < npoint; ipoint++){
223 Float_t x = g->GetX() [ipoint];
224 Float_t y = g->GetY() [ipoint];
225 Float_t ey = g->GetEY()[ipoint];
226 Int_t bin = h->FindBin(x);
227 // cout << "bin: "<< bin << " -> " << x << ", "<< y <<", " << ey << endl;
228
229 h->SetBinContent(bin,y);
230 h->SetBinError (bin,ey);
231 }
232
233 h->SetMarkerStyle(g->GetMarkerStyle());
234 h->SetMarkerColor(g->GetMarkerColor());
235 h->SetLineColor (g->GetLineColor());
236
237
238 return h;
239}
240
3beb22a2 241TGraphErrors * AliBWTools::ConcatenateGraphs(const TGraphErrors * g1,const TGraphErrors * g2){
4c0d7bc7 242
243 // concatenates two graphs
244
245 Int_t npoint1=g1->GetN();
246 Int_t npoint2=g2->GetN();
247
248 TGraphErrors * gClone = (TGraphErrors*) g1->Clone();
249
250// for(Int_t ipoint = 0; ipoint < npoint1; ipoint++){
251// gClone->SetPointError(ipoint,0,g1->GetEY()[ipoint]);
252
253// }
254 for(Int_t ipoint = 0; ipoint < npoint2; ipoint++){
255 gClone->SetPoint(ipoint+npoint1,g2->GetX()[ipoint],g2->GetY()[ipoint]);
256 gClone->SetPointError(ipoint+npoint1,g2->GetEX()[ipoint],g2->GetEY()[ipoint]);
257 // gClone->SetPointError(ipoint+npoint1,0,g2->GetEY()[ipoint]);
258 }
259
260 gClone->GetHistogram()->GetXaxis()->SetTimeDisplay(1);
261 gClone->SetTitle(TString(gClone->GetTitle())+" + "+g2->GetTitle());
262 gClone->SetName(TString(gClone->GetName())+"_"+g2->GetName());
263
264 return gClone;
265}
266
267
3beb22a2 268TH1F * AliBWTools::Combine3HistosWithErrors(const TH1 * h1, const TH1 * h2, const TH1* h3,
3725266c 269 TH1 * he1, TH1 * he2, TH1 * he3,
3beb22a2 270 const TH1* htemplate, Int_t statFrom,
3725266c 271 Float_t renorm1, Float_t renorm2, Float_t renorm3,
272 TH1 ** hSyst, Bool_t errorFromBinContent) {
ee08b77d 273
274 // Combines 3 histos (h1,h2,h3), weighting by the errors provided in
275 // he1,he2,he3, supposed to be the independent systematic errors.
276 // he1,he2,he3 are also assumed to have the same binning as h1,h2,h3
277 // The combined histo must fit the template provided (no check is performed on this)
278 // The histogram are supposed to come from the same (nearly) sample
279 // of tracks. statFrom tells the stat error of which of the 3 is
280 // going to be assigned to the combined
281 // Optionally, it is possible to rescale any of the histograms.
3725266c 282 // if hSyst is give, the histo is filled with combined syst error vs pt
283 // if errorFromBinContent is true, the weights are taken from the he* content rather than errors
ee08b77d 284 TH1F * hcomb = (TH1F*) htemplate->Clone(TString("hComb_")+h1->GetName()+"_"+h2->GetName()+h3->GetName());
285
286 // TODO: I should have used an array for h*local...
287
288 // Clone histos locally to rescale them
289 TH1F * h1local = (TH1F*) h1->Clone();
290 TH1F * h2local = (TH1F*) h2->Clone();
291 TH1F * h3local = (TH1F*) h3->Clone();
292 h1local->Scale(renorm1);
293 h2local->Scale(renorm2);
294 h3local->Scale(renorm3);
295
3beb22a2 296 const TH1 * hStatError = 0;
ee08b77d 297 if (statFrom == 0) hStatError = h1;
298 else if (statFrom == 1) hStatError = h2;
299 else if (statFrom == 2) hStatError = h3;
37e1d042 300 else {
301 Printf("AliBWTools::Combine3HistosWithErrors: wrong value of the statFrom parameter");
302 return NULL;
303 }
ee08b77d 304 Printf("AliBWTools::Combine3HistosWithErrors: improve error on combined");
305 // Loop over all bins and take weighted mean of all points
306 Int_t nBinComb = hcomb->GetNbinsX();
307 for(Int_t ibin = 1; ibin <= nBinComb; ibin++){
308 Int_t ibin1 = h1local->FindBin(hcomb->GetBinCenter(ibin));
309 Int_t ibin2 = h2local->FindBin(hcomb->GetBinCenter(ibin));
310 Int_t ibin3 = h3local->FindBin(hcomb->GetBinCenter(ibin));
311 Int_t ibinError = -1; // bin used to get stat error
312
313 if (statFrom == 0) ibinError = ibin1;
314 else if (statFrom == 1) ibinError = ibin2;
315 else if (statFrom == 2) ibinError = ibin3;
316 else Printf("AliBWTools::Combine3HistosWithErrors: wrong value of the statFrom parameter");
317
318
319 Double_t y[3];
320 Double_t ye[3];
321 y[0] = h1local->GetBinContent(ibin1);
322 y[1] = h2local->GetBinContent(ibin2);
323 y[2] = h3local->GetBinContent(ibin3);
3725266c 324 if (errorFromBinContent) {
325 ye[0] = he1->GetBinContent(he1->FindBin(hcomb->GetBinCenter(ibin)));
326 ye[1] = he2->GetBinContent(he2->FindBin(hcomb->GetBinCenter(ibin)));
327 ye[2] = he3->GetBinContent(he3->FindBin(hcomb->GetBinCenter(ibin)));
328 } else {
329 ye[0] = he1->GetBinError(ibin1);
330 ye[1] = he2->GetBinError(ibin2);
331 ye[2] = he3->GetBinError(ibin3);
332 }
ee08b77d 333 // Set error to 0 if content is 0 (means it was not filled)
3beb22a2 334 if(!h1local->GetBinContent(ibin1)) ye[0] = 0;
335 if(!h2local->GetBinContent(ibin2)) ye[1] = 0;
336 if(!h3local->GetBinContent(ibin3)) ye[2] = 0;
ee08b77d 337
338 // Compute weighted mean
3725266c 339 // cout << "Bins: "<< ibin1 << " " << ibin2 << " " << ibin3 << endl;
ee08b77d 340 Double_t mean, err;
341 WeightedMean(3,y,ye,mean,err);
342
343
344 // Fill combined
ee08b77d 345 hcomb->SetBinContent(ibin,mean);
346 Double_t statError = 0;
3beb22a2 347 if (hStatError->GetBinContent(ibinError)) {
ee08b77d 348 // cout << "def" << endl;
349 statError = hStatError->GetBinError(ibinError)/hStatError->GetBinContent(ibinError)*hcomb->GetBinContent(ibin);
350 }
3beb22a2 351 else if (h1local->GetBinContent(ibin1)) {
ee08b77d 352 // cout << "1" << endl;
353 statError = h1local->GetBinError(ibin1)/h1local->GetBinContent(ibin1)*hcomb->GetBinContent(ibin);
354 }
3beb22a2 355 else if (h2local->GetBinContent(ibin2)) {
ee08b77d 356 // cout << "2" << endl;
357 statError = h2local->GetBinError(ibin2)/h2local->GetBinContent(ibin2)*hcomb->GetBinContent(ibin);
358 }
3beb22a2 359 else if (h3local->GetBinContent(ibin3)) {
ee08b77d 360 // cout << "3" << endl;
361 statError = h3local->GetBinError(ibin3)/h3local->GetBinContent(ibin3)*hcomb->GetBinContent(ibin);
362 }
363 hcomb->SetBinError (ibin,statError);
3725266c 364 if(hSyst) (*hSyst)->SetBinContent(ibin,err);
ee08b77d 365 // cout << "BIN " << ibin << " " << mean << " " << statError << endl;
366
367 }
368
369 hcomb->SetMarkerStyle(hStatError->GetMarkerStyle());
370 hcomb->SetMarkerColor(hStatError->GetMarkerColor());
371 hcomb->SetLineColor (hStatError->GetLineColor());
372
373 hcomb->SetXTitle(hStatError->GetXaxis()->GetTitle());
374 hcomb->SetYTitle(hStatError->GetYaxis()->GetTitle());
375
376 delete h1local;
377 delete h2local;
378 delete h3local;
379
380 return hcomb;
381}
382
383
ddecf727 384void AliBWTools::GetMeanDataAndExtrapolation(const TH1 * hData, TF1 * fExtrapolation, Double_t &mean, Double_t &error, Float_t min, Float_t max){
385 // Computes the mean of the combined data and extrapolation in a
386 // given range, use data where they are available and the function
387 // where data are not available
90421222 388 // ERROR from DATA ONLY is returned in this version!
ddecf727 389 //
390 Printf("AliBWTools::GetMeanDataAndExtrapolation: WARNING from data only");
391 Float_t minData = GetLowestNotEmptyBinEdge (hData);
58eeda84 392 Int_t minDataBin = GetLowestNotEmptyBin (hData);
ddecf727 393 Float_t maxData = GetHighestNotEmptyBinEdge(hData);
58eeda84 394 Int_t maxDataBin = GetHighestNotEmptyBin (hData);
ddecf727 395 Double_t integral = 0;
396 mean = 0;
397 error = 0;
398 if (min < minData) {
399 // Compute integral exploiting root function to calculate moments, "unnormalizing" them
400 mean += fExtrapolation->Mean(min,minData)*fExtrapolation->Integral(min,minData);
401 integral += fExtrapolation->Integral(min,minData);
402 cout << " Low "<< mean << " " << integral << endl;
403
404 }
405
406 if (max > maxData) {
407 // Compute integral exploiting root function to calculate moments, "unnormalizing" them
408 mean += fExtrapolation->Mean(maxData,max)*fExtrapolation->Integral(maxData,max);
409 integral += fExtrapolation->Integral(maxData,max);
410 cout << " Hi "<< mean << " " << integral << endl;
411 }
412 Float_t err2 = 0;
413
414 for(Int_t ibin = minDataBin; ibin <= maxDataBin; ibin++){
415 if(hData->GetBinCenter(ibin) < min) continue;
416 if(hData->GetBinCenter(ibin) > max) continue;
417 mean = mean + (hData->GetBinCenter(ibin) * hData->GetBinWidth(ibin)* hData->GetBinContent(ibin));
418 err2 = err2 + TMath::Power(hData->GetBinError(ibin) * hData->GetBinCenter(ibin) * hData->GetBinWidth(ibin),2);
419 integral = integral + hData->GetBinContent(ibin) * hData->GetBinWidth(ibin);
420 }
421 cout << " Data "<< mean << " " << integral << endl;
422
423 mean = mean/integral;
ffcaf7be 424 error = TMath::Sqrt(err2)/integral;
ddecf727 425
4c0d7bc7 426
ddecf727 427}
428
429TH1F * AliBWTools::CombineHistos(const TH1 * h1, TH1 * h2, const TH1* htemplate, Float_t renorm1){
4c0d7bc7 430 // Combine two histos. This assumes the histos have the same binning
431 // in the overlapping region. It computes the arithmetic mean in the
432 // overlapping region and assigns as an error the relative error
433 // h2. TO BE IMPROVED
434
435 TH1F * hcomb = (TH1F*) htemplate->Clone(TString(h1->GetName())+"_"+h2->GetName());
436
437 TH1F * h1local = (TH1F*) h1->Clone();
438 h1local->Scale(renorm1);
439
440 Int_t nBinComb = hcomb->GetNbinsX();
441 for(Int_t ibin = 1; ibin <= nBinComb; ibin++){
442 Int_t ibin1 = h1local->FindBin(hcomb->GetBinCenter(ibin));
443 Int_t ibin2 = h2->FindBin(hcomb->GetBinCenter(ibin));
444
3beb22a2 445 if (!h1local->GetBinContent(ibin1) && !h2->GetBinContent(ibin2) ) {
4c0d7bc7 446 // None has data: go to next bin
447 hcomb->SetBinContent(ibin,0);
448 hcomb->SetBinError (ibin,0);
3beb22a2 449 } else if(h1local->GetBinContent(ibin1) && !h2->GetBinContent(ibin2)) {
4c0d7bc7 450 // take data from h1local:
451 hcomb->SetBinContent(ibin,h1local->GetBinContent(ibin1));
452 hcomb->SetBinError (ibin,h1local->GetBinError(ibin1));
3beb22a2 453 } else if(!h1local->GetBinContent(ibin1) && h2->GetBinContent(ibin2)) {
4c0d7bc7 454 // take data from h2:
455 hcomb->SetBinContent(ibin,h2->GetBinContent(ibin2));
456 hcomb->SetBinError (ibin,h2->GetBinError(ibin2));
457 } else {
458 hcomb->SetBinContent(ibin,(h1local->GetBinContent(ibin1) +h2->GetBinContent(ibin2))/2);
459 // hcomb->SetBinError (ibin,h1local->GetBinError(ibin1)/h1local->GetBinContent(ibin1)*hcomb->GetBinContent(ibin));
460 hcomb->SetBinError (ibin,h2->GetBinError(ibin2)/h2->GetBinContent(ibin2)*hcomb->GetBinContent(ibin));
461 }
462
463
464 }
465
466
467 hcomb->SetMarkerStyle(h1local->GetMarkerStyle());
468 hcomb->SetMarkerColor(h1local->GetMarkerColor());
469 hcomb->SetLineColor (h1local->GetLineColor());
470
471 hcomb->SetXTitle(h1local->GetXaxis()->GetTitle());
472 hcomb->SetYTitle(h1local->GetYaxis()->GetTitle());
473 delete h1local;
474 return hcomb;
475
476}
477
478
3beb22a2 479void AliBWTools::GetFromHistoGraphDifferentX(const TH1F * h, TF1 * f, TGraphErrors ** gBarycentre, TGraphErrors ** gXlw) {
4c0d7bc7 480
481 // Computes the baycentre in each bin and the xlw as defined in NIMA
482 // 355 - 541 using f. Returs 2 graphs with the same y content of h
483 // but with a different x (barycentre and xlw)
484
485 Int_t nbin = h->GetNbinsX();
486
487 (*gBarycentre) = new TGraphErrors();
488 (*gXlw) = new TGraphErrors();
489
490 Int_t ipoint = 0;
491 for(Int_t ibin = 1; ibin <= nbin; ibin++){
492 Float_t min = h->GetBinLowEdge(ibin);
493 Float_t max = h->GetBinLowEdge(ibin+1);
494 Double_t xerr = 0;
495 Double_t xbar = f->Mean(min,max);
c3c47c65 496 // compute xLW
4c0d7bc7 497 Double_t temp = 1./(max-min) * f->Integral(min,max);
498 Double_t epsilon = 0.000000001;
499 Double_t increment = 0.0000000001;
c3c47c65 500 Double_t xLW = min;
4c0d7bc7 501
c3c47c65 502 while ((f->Eval(xLW)- temp) > epsilon) {
503 xLW += increment;
504 if(xLW > max) {
505 Printf("Cannot find xLW");
4c0d7bc7 506 break;
507 }
508 }
509
510 if (h->GetBinContent(ibin)!=0) {
511 (*gBarycentre)->SetPoint (ipoint, xbar, h->GetBinContent(ibin));
512 (*gBarycentre)->SetPointError(ipoint, xerr, h->GetBinError(ibin));
c3c47c65 513 (*gXlw) ->SetPoint (ipoint, xLW, h->GetBinContent(ibin));
4c0d7bc7 514 (*gXlw) ->SetPointError(ipoint, xerr, h->GetBinError(ibin));
515 ipoint++;
516 }
517 }
518
519 (*gBarycentre)->SetMarkerStyle(h->GetMarkerStyle());
520 (*gBarycentre)->SetMarkerColor(h->GetMarkerColor());
521 (*gBarycentre)->SetLineColor(h->GetLineColor());
522
523 (*gBarycentre)->SetTitle(h->GetTitle());
524 (*gBarycentre)->SetName(TString("g_")+h->GetName());
525
526 (*gXlw)->SetMarkerStyle(h->GetMarkerStyle());
527 (*gXlw)->SetMarkerColor(h->GetMarkerColor());
528 (*gXlw)->SetLineColor(h->GetLineColor());
529 (*gXlw)->SetTitle(h->GetTitle());
530 (*gXlw)->SetName(TString("g_")+h->GetName());
531
532
533}
534
535
ddecf727 536Float_t AliBWTools::GetMean(TH1F * h, Float_t min, Float_t max, Float_t * error) {
4c0d7bc7 537
3472a634 538 // Get the mean of histo in a range; root is not reliable in sub
539 // ranges with variable binning.
4c0d7bc7 540 Int_t minBin = h->FindBin(min);
ddecf727 541 Int_t maxBin = h->FindBin(max-0.00001);
4c0d7bc7 542
543 Float_t mean = 0 ;
544 Float_t integral = 0;
ddecf727 545 Float_t err2 = 0;
546 for(Int_t ibin = minBin; ibin <= maxBin; ibin++){
4c0d7bc7 547 mean = mean + (h->GetBinCenter(ibin) * h->GetBinWidth(ibin)* h->GetBinContent(ibin));
ddecf727 548 err2 = err2 + TMath::Power(h->GetBinError(ibin) * h->GetBinCenter(ibin) * h->GetBinWidth(ibin),2);
4c0d7bc7 549 integral = integral + h->GetBinContent(ibin) * h->GetBinWidth(ibin);
550 }
551
ddecf727 552 Float_t value = mean/integral;
553 if (error) (*error) = TMath::Sqrt(err2);
554 return value;
4c0d7bc7 555
556
557}
558
3472a634 559void AliBWTools::GetMean(TF1 * func, Float_t &mean, Float_t &error, Float_t min, Float_t max, Int_t normPar) {
4c0d7bc7 560
3472a634 561 // Get the mean of function in a range; If normPar is >= 0, it means
562 // that the function is defined such that par[normPar] is its
563 // integral. In this case the error on meanpt can be calculated
564 // correctly. Otherwise, the function is normalized in get moment,
565 // but the error is not computed correctly.
4c0d7bc7 566
3472a634 567 return GetMoment("fMean", TString("x*")+func->GetExpFormula(), func, mean, error, min, max, normPar);
4c0d7bc7 568
569}
570
3472a634 571void AliBWTools::GetMeanSquare(TF1 * func, Float_t &mean, Float_t &error, Float_t min, Float_t max, Int_t normPar) {
4c0d7bc7 572
3472a634 573 // Get the mean2 of function in a range; If normPar is >= 0, it means
574 // that the function is defined such that par[normPar] is its
575 // integral. In this case the error on meanpt can be calculated
576 // correctly. Otherwise, the function is normalized in get moment,
577 // but the error is not computed correctly.
4c0d7bc7 578
3472a634 579 return GetMoment("fMean2", TString("x*x*")+func->GetExpFormula(), func, mean, error, min, max, normPar);
4c0d7bc7 580
581
582}
583
3472a634 584void AliBWTools::GetMoment(TString name, TString var, TF1 * func, Float_t &mean, Float_t &error, Float_t min, Float_t max, Int_t normPar) {
4c0d7bc7 585
586 // returns the integral of a function derived from func by prefixing some operation.
3472a634 587 // the derived function MUST have the same parameter in the same order
4c0d7bc7 588 // Used as a base method for mean and mean2
3472a634 589 // If normPar is >= 0, it means that the function is defined such
590 // that par[normPar] is its integral. In this case the error on
591 // meanpt can be calculated correctly. Otherwise, the function is
592 // normalized using its numerical integral, but the error is not computed
593 // correctly.
594
595 // TODO:
596 // - improve to propagate error also in the case you need the
597 // numerical integrals (will be rather slow)
598 // - this version assumes that func is defined using a
599 // TFormula. Generalize to the case of a C++ function
600
601 if (normPar<0) Printf("AliBWTools::GetMoment: Warning: If normalization is required, the error may bot be correct");
602 if (!strcmp(func->GetExpFormula(),"")) Printf("AliBWTools::GetMoment: Warning: Empty formula in the base function");
4c0d7bc7 603 Int_t npar = func->GetNpar();
604
3472a634 605 // Definition changes according to the value of normPar
606 TF1 * f = normPar < 0 ?
607 new TF1(name, var) : // not normalized
608 new TF1(name, var+Form("/[%d]",normPar)); // normalized with par normPar
609
610 // integr is used to normalize if no parameter is provided
611 Double_t integr = normPar < 0 ? func->Integral(min,max) : 1;
4c0d7bc7 612
613 // The parameter of the function used to compute the mean should be
614 // the same as the parent function: fixed if needed and they should
615 // also have the same errors.
616
617 // cout << "npar :" << npar << endl;
618
619 for(Int_t ipar = 0; ipar < npar; ipar++){
620 Double_t parmin, parmax;
621 Double_t value = func->GetParameter(ipar);
3472a634 622 f->SetParameter(ipar,value);
4c0d7bc7 623 func->GetParLimits(ipar, parmin, parmax);
624 if ( parmin == parmax ) {
3beb22a2 625 // if ( parmin || (parmin == 1 && !value) ) { // not sure we I check parmin == 1 here.
626 if ( parmin || (TMath::Abs(parmin-1)<0.000001 && !value) ) { // not sure we I check parmin == 1 here. Changed like this because of coding conventions. Does it still work? FIXME
4c0d7bc7 627 f->FixParameter(ipar,func->GetParameter(ipar));
628 // cout << "Fixing " << ipar << "("<<value<<","<<parmin<<","<<parmax<<")"<<endl;
629 }
630 else {
631 f->SetParError (ipar,func->GetParError(ipar) );
632 // cout << "Setting Err" << ipar << "("<<func->GetParError(ipar)<<")"<<endl;
633 }
634 }
635 else {
636 f->SetParError (ipar,func->GetParError(ipar) );
637 // cout << "Setting Err" << ipar << "("<<func->GetParError(ipar)<<")"<<endl;
638 }
639 }
3472a634 640
641// f->Print();
642// cout << "----" << endl;
643// func->Print();
644
645 mean = normPar < 0 ? f->Integral (min,max)/integr : f->Integral (min,max);
646 error = normPar < 0 ? f->IntegralError(min,max)/integr : f->IntegralError(min,max);
4c0d7bc7 647// cout << "Mean " << mean <<"+-"<< error<< endl;
648// cout << "Integral Error " << error << endl;
649
650}
651
4c0d7bc7 652
653
654Bool_t AliBWTools::Fit (TH1 * h1, TF1* func, Float_t min, Float_t max) {
655
656 // Fits h1 with func, preforms several checks on the quality of the
657 // fit and tries to improve it. If the fit is not good enough, it
658 // returs false.
659
660 Double_t amin; Double_t edm; Double_t errdef; Int_t nvpar; Int_t nparx;
661 TVirtualFitter *fitter;
662 cout << "--- Fitting : " << h1->GetName() << " ["<< h1->GetTitle() <<"] ---"<< endl;
663
664 h1-> Fit(func,"IME0","",min,max);
665 Int_t fitResult = h1-> Fit(func,"IME0","",min,max);
666// h1-> Fit(func,"0","",min,max);
667// Int_t fitResult = h1-> Fit(func,"0IE","",min,max);
668
669
670// From TH1:
671// The fitStatus is 0 if the fit is OK (i.e no error occurred). The
672// value of the fit status code is negative in case of an error not
673// connected with the minimization procedure, for example when a wrong
674// function is used. Otherwise the return value is the one returned
675// from the minimization procedure. When TMinuit (default case) or
676// Minuit2 are used as minimizer the status returned is : fitStatus =
677// migradResult + 10*minosResult + 100*hesseResult +
678// 1000*improveResult. TMinuit will return 0 (for migrad, minos,
679// hesse or improve) in case of success and 4 in case of error (see
680// the documentation of TMinuit::mnexcm). So for example, for an error
681// only in Minos but not in Migrad a fitStatus of 40 will be returned.
682// Minuit2 will return also 0 in case of success and different values
683// in migrad minos or hesse depending on the error. See in this case
684// the documentation of Minuit2Minimizer::Minimize for the
685// migradResult, Minuit2Minimizer::GetMinosError for the minosResult
686// and Minuit2Minimizer::Hesse for the hesseResult. If other
687// minimizers are used see their specific documentation for the status
688// code returned. For example in the case of Fumili, for the status
689// returned see TFumili::Minimize.
690
691
692 if( gMinuit->fLimset ) {
693 Printf("ERROR: AliBWTools: Parameters at limits");
694 return kFALSE;
695 }
696
697
698 ///
699 fitter = TVirtualFitter::GetFitter();
700 Int_t fitStat = fitter->GetStats(amin, edm, errdef, nvpar, nparx);
701
702 if( ( (fitStat < 3 && gMinuit->fCstatu != "UNCHANGED ")|| (edm > 1e6) || (fitResult !=0 && fitResult < 4000) ) &&
703 TString(gMinuit->fCstatu) != "SUCCESSFUL" &&
704 TString(gMinuit->fCstatu) != "CONVERGED " ) {
705 if(fitStat < 3 && gMinuit->fCstatu != "UNCHANGED ") {
706 Printf("WARNING: AliBWTools: Cannot properly compute errors");
707 if (fitStat == 0) Printf(" not calculated at all");
708 if (fitStat == 1) Printf(" approximation only, not accurate");
709 if (fitStat == 2) Printf(" full matrix, but forced positive-definite");
710 }
711
712 if (edm > 1e6) {
713
714 Printf("WARNING: AliBWTools: Huge EDM (%f): Fit probably failed!", edm);
715 }
716 if (fitResult != 0) {
717 Printf("WARNING: AliBWTools: Fit Result (%d)", fitResult);
718 }
719
720 Printf ("AliBWTools: Trying Again with Strategy = 2");
721
722 gMinuit->Command("SET STRATEGY 2"); // more effort
723 fitResult = 0;
724 fitResult = h1-> Fit(func,"0","",min,max);
725 fitResult = h1-> Fit(func,"IME0","",min,max);
726 fitResult = h1-> Fit(func,"IME0","",min,max);
727
728 fitter = TVirtualFitter::GetFitter();
729
730 fitStat = fitter->GetStats(amin, edm, errdef, nvpar, nparx);
731
732 if(fitStat < 3 && gMinuit->fCstatu != "UNCHANGED ") {
733 Printf("ERROR: AliBWTools: Cannot properly compute errors");
734 if (fitStat == 0) Printf(" not calculated at all");
735 if (fitStat == 1) Printf(" approximation only, not accurate");
736 if (fitStat == 2) Printf(" full matrix, but forced positive-definite");
737 cout << "[" <<gMinuit->fCstatu<<"]" << endl;
738 return kFALSE;
739 }
740
741 if (edm > 1e6) {
742 Printf("ERROR: AliBWTools: Huge EDM (%f): Fit probably failed!", edm);
743
744 return kFALSE;
745 }
746 if (fitResult != 0) {
747 Printf("ERROR: AliBWTools: Fit Result (%d)", fitResult);
748
749 return kFALSE;
750 }
751
752 gMinuit->Command("SET STRATEGY 1"); // back to normal value
753
754 }
755
756 cout << "---- FIT OK ----" << endl;
757
758 return kTRUE;
759
760}
761
3beb22a2 762Int_t AliBWTools::GetLowestNotEmptyBin(const TH1*h) {
4c0d7bc7 763
764 // Return the index of the lowest non empty bin in the histo h
765
766 Int_t nbin = h->GetNbinsX();
767 for(Int_t ibin = 1; ibin <= nbin; ibin++){
768 if(h->GetBinContent(ibin)>0) return ibin;
769 }
770
771 return -1;
772
773}
774
3beb22a2 775Int_t AliBWTools::GetHighestNotEmptyBin(const TH1*h) {
4c0d7bc7 776
777 // Return the index of the highest non empty bin in the histo h
778
779 Int_t nbin = h->GetNbinsX();
780 for(Int_t ibin = nbin; ibin > 0; ibin--){
781 if(h->GetBinContent(ibin)>0) return ibin;
782 }
783
784 return -1;
785
786}
787
3beb22a2 788void AliBWTools::GetResiduals(const TGraphErrors * gdata, const TF1 * func, TH1F ** hres, TGraphErrors ** gres) {
4c0d7bc7 789
790 // Returns a graph of residuals vs point and the res/err distribution
791
792 Int_t npoint = gdata->GetN();
793
794 (*gres) =new TGraphErrors();
795 (*hres) = new TH1F(TString("hres_")+gdata->GetName()+"-"+func->GetName(),
796 TString("hres_")+gdata->GetName()+"-"+func->GetName(),
797 20,-5,5);
798
799
800 for(Int_t ipoint = 0; ipoint < npoint; ipoint++){
801 Float_t x = gdata->GetX()[ipoint];
802 Float_t res = (gdata->GetY()[ipoint] - func->Eval(x))/func->Eval(x);
803 Float_t err = gdata->GetEY()[ipoint]/func->Eval(x);
804 (*hres)->Fill(res/err);
805 (*gres)->SetPoint(ipoint, x, res/err);
806 // (*gres)->SetPointError(ipoint, 0, err);
807
808 }
809
810 (*gres)->SetMarkerStyle(gdata->GetMarkerStyle());
811 (*gres)->SetMarkerColor(gdata->GetMarkerColor());
812 (*gres)->SetLineColor (gdata->GetLineColor());
813 (*gres)->GetHistogram()->GetYaxis()->SetTitle("(data-function)/function");
814 (*hres)->SetMarkerStyle(gdata->GetMarkerStyle());
815 (*hres)->SetMarkerColor(gdata->GetMarkerColor());
816 (*hres)->SetLineColor (gdata->GetLineColor());
817
818
819
820}
821
3beb22a2 822void AliBWTools::GetResiduals(const TH1F* hdata, const TF1 * func, TH1F ** hres, TH1F ** hresVsBin) {
4c0d7bc7 823
824 // Returns an histo of residuals bin by bin and the res/err distribution
825
826 if (!func) {
827 Printf("AliBWTools::GetResiduals: No function provided");
828 return;
829 }
830 if (!hdata) {
831 Printf("AliBWTools::GetResiduals: No data provided");
832 return;
833 }
834
835 (*hresVsBin) = (TH1F*) hdata->Clone(TString("hres_")+hdata->GetName());
836 (*hresVsBin)->Reset();
837 (*hres) = new TH1F(TString("hres_")+hdata->GetName()+"-"+func->GetName(),
838 TString("hres_")+hdata->GetName()+"-"+func->GetName(),
839 20,-5,5);
840
841 Int_t nbin = hdata->GetNbinsX();
842 for(Int_t ibin = 1; ibin <= nbin; ibin++){
3beb22a2 843 if(!hdata->GetBinContent(ibin)) continue;
4c0d7bc7 844 Float_t res = (hdata->GetBinContent(ibin) - func->Eval(hdata->GetBinCenter(ibin)) ) /
845 func->Eval(hdata->GetBinCenter(ibin));
846 Float_t err = hdata->GetBinError (ibin) / func->Eval(hdata->GetBinCenter(ibin));
847 (*hresVsBin)->SetBinContent(ibin,res);
848 (*hresVsBin)->SetBinError (ibin,err);
849 (*hres)->Fill(res/err);
850
851 }
852
853 (*hresVsBin)->SetMarkerStyle(hdata->GetMarkerStyle());
854 (*hresVsBin)->SetMarkerColor(hdata->GetMarkerColor());
855 (*hresVsBin)->SetLineColor (hdata->GetLineColor() );
856 (*hresVsBin)->GetYaxis()->SetTitle("(data-function)/function");
857 (*hres)->SetMarkerStyle(hdata->GetMarkerStyle());
858 (*hres)->SetMarkerColor(hdata->GetMarkerColor());
859 (*hres)->SetLineColor (hdata->GetLineColor() );
860
861}
862
3beb22a2 863void AliBWTools::GetYield(TH1* h, TF1 * f, Double_t &yield, Double_t &yieldError, Float_t min, Float_t max,
4c0d7bc7 864 Double_t *partialYields, Double_t *partialYieldsErrors){
865
866 // Returns the yield extracted from the data in the histo where
867 // there are points and from the fit to extrapolate, in the given
868 // range.
869
870 // Partial yields are also returned if the corresponding pointers are non null
871
872 Int_t bin1 = h->FindBin(min);
873 Int_t bin2 = h->FindBin(max);
874 Float_t bin1Edge = GetLowestNotEmptyBinEdge (h);
875 Float_t bin2Edge = GetHighestNotEmptyBinEdge(h);
876
877 Double_t integralFromHistoError ;
57b5143c 878 Double_t integralFromHisto = DoIntegral(h,bin1,bin2,-1,-1,-1,-1,integralFromHistoError,"width",1);
4c0d7bc7 879
880 Double_t integralBelow = min < bin1Edge ? f->Integral(min,bin1Edge) : 0;
881 Double_t integralBelowError = min < bin1Edge ? f->IntegralError(min,bin1Edge) : 0;
882 Double_t integralAbove = max > bin2Edge ? f->Integral(bin2Edge,max) : 0;
169d33f6 883 Double_t integralAboveError = max > bin2Edge ? f->IntegralError(bin2Edge,max) : 0;
4c0d7bc7 884
3beb22a2 885// cout << "GetYield INFO" << endl;
886// cout << " " << bin1Edge << " " << bin2Edge << endl;
887// cout << " " << integralFromHisto << " " << integralBelow << " " << integralAbove << endl;
888// cout << " " << integralFromHistoError << " " << integralBelowError << " " << integralAboveError << endl;
4c0d7bc7 889
890 if(partialYields) {
891 partialYields[0] = integralFromHisto;
892 partialYields[1] = integralBelow;
893 partialYields[2] = integralAbove;
894 }
895 if(partialYieldsErrors) {
896 partialYieldsErrors[0] = integralFromHistoError;
897 partialYieldsErrors[1] = integralBelowError;
898 partialYieldsErrors[2] = integralAboveError;
899 }
900 yield = integralFromHisto+integralBelow+integralAbove;
901 yieldError = TMath::Sqrt(integralFromHistoError*integralFromHistoError+
902 integralBelowError*integralBelowError+
903 integralAboveError*integralAboveError);
904
905}
906
3beb22a2 907TGraphErrors * AliBWTools::DivideGraphByFunc(const TGraphErrors * g, const TF1 * f, Bool_t invert){
4c0d7bc7 908
909 // Divides g/f. If invert == true => f/g
910
911 TGraphErrors * gRatio = new TGraphErrors();
912 Int_t npoint = g->GetN();
913 for(Int_t ipoint = 0; ipoint < npoint; ipoint++){
914 Double_t x = g->GetX()[ipoint];
915 Double_t ratio = invert ? f->Eval(x)/g->GetY()[ipoint] :g->GetY()[ipoint]/f->Eval(x);
916 gRatio->SetPoint (ipoint, x, ratio);
90421222 917 if(f->Eval(x) && strcmp(g->ClassName(),"TGraphAsymmErrors")) gRatio->SetPointError(ipoint, 0, g->GetEY()[ipoint]/f->Eval(x));
4c0d7bc7 918 // cout << x << " " << g->GetY()[ipoint] << " " << f->Eval(x) << endl;
919
920 }
921 gRatio->SetMarkerStyle(20);
922 //gRatio->Print();
923 return gRatio;
924
925}
926
90421222 927TGraphErrors * AliBWTools::Divide2Graphs(const TGraphErrors * g1, const TGraphErrors * g2){
928
929 // Divides g1/g2, looks for point with very close centers
930 Int_t ipoint=0;
931 TGraphErrors * gRatio = new TGraphErrors();
932 Int_t npoint1 = g1->GetN();
933 Int_t npoint2 = g2->GetN();
934 for(Int_t ipoint1 = 0; ipoint1 < npoint1; ipoint1++){
935 Double_t x1 = g1->GetX()[ipoint1];
936 for(Int_t ipoint2 = 0; ipoint2 < npoint2; ipoint2++){
937 Double_t x2 = g2->GetX()[ipoint2];
938 if((TMath::Abs(x1-x2)/(x1+x2)*2)<0.01) {
939 Double_t ratio = g2->GetY()[ipoint2] ? g1->GetY()[ipoint1]/g2->GetY()[ipoint2] : 0;
940 Double_t eratio = g2->GetY()[ipoint2] ?
941 TMath::Sqrt(g1->GetEY()[ipoint1]*g1->GetEY()[ipoint1]/g1->GetY()[ipoint1]/g1->GetY()[ipoint1] +
942 g2->GetEY()[ipoint2]/g2->GetY()[ipoint2]/g2->GetY()[ipoint2] ) * ratio
943 : 0;
944 gRatio->SetPoint (ipoint, x1, ratio);
945 gRatio->SetPointError(ipoint, 0, eratio);
946 ipoint++;
947 cout << ipoint << " [" << x1 << "] " << g1->GetY()[ipoint1] << "/" << g2->GetY()[ipoint2] << " = " << ratio <<"+-"<<eratio<< endl;
948
949 // cout << x << " " << g->GetY()[ipoint] << " " << f->Eval(x) << endl;
950 }
951
952 }
953 }
954 gRatio->SetMarkerStyle(20);
955 //gRatio->Print();
956 return gRatio;
957
958}
959
3beb22a2 960TGraphErrors * AliBWTools::DivideGraphByHisto(const TGraphErrors * g, TH1 * h, Bool_t invert){
4c0d7bc7 961
962 // Divides g/h. If invert == true => h/g
963
169d33f6 964 Bool_t skipError = kFALSE;
965 if(!strcmp(g->ClassName(),"TGraph")) skipError = kTRUE;
966 if(!strcmp(g->ClassName(),"TGraphAsymmErrors")) skipError = kTRUE;
967 if(skipError) {
968 Printf("WARNING: Skipping graph errors");
969 }
4c0d7bc7 970 TGraphErrors * gRatio = new TGraphErrors();
971 Int_t npoint = g->GetN();
972 for(Int_t ipoint = 0; ipoint < npoint; ipoint++){
973 Double_t xj = g->GetX()[ipoint];
974 Double_t yj = g->GetY()[ipoint];
169d33f6 975 Double_t yje = skipError ? 0 : g->GetEY()[ipoint];
4c0d7bc7 976
977 Int_t binData = h->FindBin(xj);
978 Double_t yd = h->GetBinContent(binData);
979 Double_t yde = h->GetBinError(binData);
980 Double_t xd = h->GetBinCenter(binData);
981
4c0d7bc7 982
983
3beb22a2 984 if (!yd) continue;
4c0d7bc7 985
986 if (TMath::Abs(xd-xj)/TMath::Abs(xd) > 0.01){
987 Printf( "WARNING: bin center (%f) and x graph (%f) are more than 1 %% away, skipping",xd,xj );
988 continue;
989
990 }
991
992 Double_t ratio = invert ? yd/yj : yj/yd;
993
994 gRatio->SetPoint(ipoint, xj, ratio);
995 gRatio->SetPointError(ipoint, 0, TMath::Sqrt(yde*yde/yd/yd + yje*yje/yj/yj)*ratio);
996 // gRatio->SetPointError(ipoint, 0, yje/yj * ratio);
997 }
998
999 return gRatio;
1000
1001
1002}
1003
1004TH1F * AliBWTools::DivideHistoByFunc(TH1F * h, TF1 * f, Bool_t invert){
1005
1006 // Divides h/f. If invert == true => f/g
1007 // Performs the integral of f on the bin range to perform the ratio
1008 // Returns a histo with the same binnig as h
1009
1010 // Prepare histo for ratio
1011 TH1F * hRatio = (TH1F*) h->Clone(TString("hRatio_")+h->GetName()+"_"+f->GetName());
1012 hRatio->Reset();
1013 // Set y title
1014 if(!invert) hRatio->SetYTitle(TString(h->GetName())+"/"+f->GetName());
1015 else hRatio->SetYTitle(TString(f->GetName())+"/"+h->GetName());
1016
1017 // Loop over all bins
1018 Int_t nbin = hRatio->GetNbinsX();
1019
1020 for(Int_t ibin = 1; ibin <= nbin; ibin++){
1021 Double_t yhisto = h->GetBinContent(ibin);
1022 Double_t yerror = h->GetBinError(ibin);
1023 Double_t xmin = h->GetBinLowEdge(ibin);
1024 Double_t xmax = h->GetBinLowEdge(ibin+1);
1025 Double_t yfunc = f->Integral(xmin,xmax)/(xmax-xmin);
1026 Double_t ratio = invert ? yfunc/yhisto : yhisto/yfunc ;
1027 Double_t error = yerror/yfunc ;
1028 hRatio->SetBinContent(ibin,ratio);
1029 hRatio->SetBinError (ibin,error);
1030 }
1031
1032 return hRatio;
1033
1034}
ee08b77d 1035
1036void AliBWTools::WeightedMean(Int_t npoints, const Double_t *x, const Double_t *xerr, Double_t &mean, Double_t &meanerr){
1037
3beb22a2 1038 // Performs the weighted mean of npoints numbers in x with errors in xerr
ee08b77d 1039
1040 mean = 0;
1041 meanerr = 0;
1042
1043 Double_t sumweight = 0;
1044
1045 for (Int_t ipoint = 0; ipoint < npoints; ipoint++){
1046
1047 Double_t xerr2 = xerr[ipoint]*xerr[ipoint];
1048 if(xerr2>0){
1049 // cout << "xe2 " << xerr2 << endl;
1050 Double_t weight = 1. / xerr2;
1051 sumweight += weight;
1052 mean += weight * x[ipoint];
3725266c 1053 }// else cout << " Skipping " << ipoint << endl;
ee08b77d 1054
1055 }
1056
1057
1058 if(sumweight){
1059 mean /= sumweight;
1060 meanerr = TMath::Sqrt(1./ sumweight);
1061 }
1062 else {
3725266c 1063 // cout << " No sumweight" << endl;
ee08b77d 1064 mean = 0;
1065 meanerr = 0;
1066 }
1067
1068
1069}
3725266c 1070
57b5143c 1071TH1 * AliBWTools::GetRelativeError(TH1 * h){
1072 // Returns an histogram with the same binning as h, filled with the relative error bin by bin
1073 TH1 * hrel = (TH1*) h->Clone(TString(h->GetName())+"_rel");
1074 hrel->Reset();
1075 Int_t nbin = hrel->GetNbinsX();
1076 for(Int_t ibin = 1; ibin <= nbin; ibin++){
1077 hrel->SetBinContent(ibin,h->GetBinError(ibin)/h->GetBinContent(ibin));
1078 hrel->SetBinError(ibin,0);
1079 }
1080
1081 return hrel;
1082}
1083
1084
058137a6 1085void AliBWTools::GetValueAndError(TH1 * hdest, const TH1 * hvalue, const TH1 * herror, Bool_t isPercentError) {
3725266c 1086
1087 // Put into source, bin-by-bin, the values from hvalue and the
1088 // errors from content from herror.
1089 // Used mainly to combine histos of systemati errors with their spectra
1090 // Set isPercentError to kTRUE if the error is given in %
1091
1092 if(hdest == NULL){
1093 Printf("AliBWTools::GetValueAndError Errror: hdest is null");
1094 return;
1095 }
1096
1097
1098 Int_t nbin = hdest->GetNbinsX();
1099 Int_t nBinSourceVal = hvalue->GetNbinsX();
1100 Int_t nBinSourceErr = herror->GetNbinsX();
1101
1102 for(Int_t iBinDest = 1; iBinDest <= nbin; iBinDest++){
1103 Float_t lowPtDest=hdest->GetBinLowEdge(iBinDest);
1104 Float_t binWidDest=hdest->GetBinWidth(iBinDest);
1105 // Loop over Source bins and find overlapping bins to Dest
1106 // First value then error
1107 // Value
1108 Bool_t foundValue = kFALSE;
1109 for(Int_t iBinSourceVal=1; iBinSourceVal<=nBinSourceVal; iBinSourceVal++){
1110 Float_t lowPtSource= hvalue->GetBinLowEdge(iBinSourceVal) ;
1111 Float_t binWidSource= hvalue->GetBinWidth(iBinSourceVal);
1112 if(TMath::Abs(lowPtDest-lowPtSource)<0.001 && TMath::Abs(binWidSource-binWidDest)<0.001){
1113 Double_t content = hvalue->GetBinContent(iBinSourceVal);
1114 hdest->SetBinContent(iBinDest, content);
1115 foundValue = kTRUE;
1116 break;
1117 }
1118 }
1119 // if (!foundValue){
1120 // Printf("AliBWTools::GetValueAndError: Error: cannot find matching value source bin for destination %d",iBinDest);
1121 // }
1122
1123 // Error
1124 Bool_t foundError = kFALSE;
1125 for(Int_t iBinSourceErr=1; iBinSourceErr<=nBinSourceErr; iBinSourceErr++){
1126 Float_t lowPtSource= herror->GetBinLowEdge(iBinSourceErr) ;
1127 Float_t binWidSource= herror->GetBinWidth(iBinSourceErr);
1128 if(TMath::Abs(lowPtDest-lowPtSource)<0.001 && TMath::Abs(binWidSource-binWidDest)<0.001){
1129 Double_t error = herror->GetBinContent(iBinSourceErr);
1130 // cout << "-> " << iBinDest << " " << error << " " << hdest->GetBinContent(iBinDest) << endl;
1131
1132 hdest->SetBinError(iBinDest, isPercentError ? error * hdest->GetBinContent(iBinDest) : error);
1133 foundError=kTRUE;
1134 break;
1135 }
1136 }
1137 // if (!foundError ){
1138 // Printf("AliBWTools::GetValueAndError: Error: cannot find matching error source bin for destination %d",iBinDest);
1139 // }
1140 }
1141
1142
1143}
1144
058137a6 1145void AliBWTools::AddHisto(TH1 * hdest, const TH1* hsource, Bool_t getMirrorBins) {
3725266c 1146
1147 // Adds hsource to hdest bin by bin, even if they have a different
1148 // binning If getMirrorBins is true, it takes the negative bins
1149 // (Needed because sometimes the TPC uses the positive axis for
1150 // negative particles and the possitive axis for positive
1151 // particles).
1152
1153
1154 if (hdest == NULL) {
1155 Printf("Error: hdest is NULL\n");
37e1d042 1156 return;
3725266c 1157 }
1158 if (hsource == NULL) {
1159 Printf("Error: hsource is NULL\n");
37e1d042 1160 return;
3725266c 1161 }
1162
1163 Int_t nBinSource = hsource->GetNbinsX();
1164 Int_t nBinDest = hdest->GetNbinsX();
1165
1166 // Loop over destination bins,
1167 for(Int_t iBinDest=1; iBinDest<=nBinDest; iBinDest++){
1168 Float_t lowPtDest=hdest->GetBinLowEdge(iBinDest);
1169 Float_t binWidDest=hdest->GetBinWidth(iBinDest);
1170 // Loop over Source bins and find overlapping bins to Dest
1171 Bool_t found = kFALSE;
1172 for(Int_t iBinSource=1; iBinSource<=nBinSource; iBinSource++){
1173 Float_t lowPtSource= getMirrorBins ? -hsource->GetBinLowEdge(iBinSource)+hsource->GetBinWidth(iBinSource) : hsource->GetBinLowEdge(iBinSource) ;
1174 Float_t binWidSource= hsource->GetBinWidth(iBinSource) ;
1175 if(TMath::Abs(lowPtDest-lowPtSource)<0.001 && TMath::Abs(binWidSource-binWidDest)<0.001){
1176 Float_t dest=hdest->GetBinContent(iBinDest);
1177 Float_t source=hsource->GetBinContent(iBinSource);
1178 Float_t edest=hdest->GetBinError(iBinDest);
1179 Float_t esource=hsource->GetBinError(iBinSource);
1180 Double_t cont=dest+source;
1181 Double_t econt=TMath::Sqrt(edest*edest+esource*esource);
1182 hdest->SetBinContent(iBinDest,cont);
1183 hdest->SetBinError (iBinDest,econt);
1184 found = kTRUE;
1185
1186 break;
1187 }
1188 }
77233d47 1189 // if (!found){
1190 // Printf("Error: cannot find matching source bin for destination %d",iBinDest);
1191 // }
3725266c 1192 }
1193
1194
1195}
1196
058137a6 1197void AliBWTools::GetHistoCombinedErrors(TH1 * hdest, const TH1 * h1) {
1198
1199 // Combine the errors of hdest with the errors of h1, summing in
1200 // quadrature. Results are put in hdest. Histograms are assumed to
1201 // have the same binning
1202
1203 Int_t nbin = hdest->GetNbinsX();
90421222 1204 for(Int_t ibin = 1; ibin <= nbin; ibin++){
058137a6 1205 Double_t e1 = hdest->GetBinError(ibin);
1206 Double_t e2 = h1->GetBinError(ibin);
1207 hdest->SetBinError(ibin, TMath::Sqrt(e1*e1+e2*e2));
1208 }
1209
90421222 1210
058137a6 1211}
d8e6677d 1212
1213TH1F * AliBWTools::DivideHistosDifferentBins(const TH1F* h1, const TH1F* h2) {
1214 // Divides 2 histos even if they have a different binning. Finds
1215 // overlapping bins and divides them
1216
1217 // 1. clone histo
1218 TH1F * hRatio = new TH1F(*h1);
1219 Int_t nBinsH1=h1->GetNbinsX();
1220 Int_t nBinsH2=h2->GetNbinsX();
1221 // Loop over H1 bins,
1222 for(Int_t iBin=1; iBin<=nBinsH1; iBin++){
1223 hRatio->SetBinContent(iBin,0.);
1224 hRatio->SetBinContent(iBin,0.);
1225 Float_t lowPtH1=h1->GetBinLowEdge(iBin);
1226 Float_t binWidH1=h1->GetBinWidth(iBin);
1227 // Loop over H2 bins and find overlapping bins to H1
1228 for(Int_t jBin=1; jBin<=nBinsH2; jBin++){
1229 Float_t lowPtH2=h2->GetBinLowEdge(jBin);
1230 Float_t binWidH2=h2->GetBinWidth(jBin);
1231 if(TMath::Abs(lowPtH1-lowPtH2)<0.001 && TMath::Abs(binWidH2-binWidH1)<0.001){
1232 Float_t numer=h1->GetBinContent(iBin);
1233 Float_t denom=h2->GetBinContent(jBin);
1234 Float_t enumer=h1->GetBinError(iBin);
1235 Float_t edenom=h2->GetBinError(jBin);
1236 Double_t ratio=0.;
1237 Double_t eratio=0.;
1238 if(numer>0. && denom>0.){
1239 ratio=numer/denom;
1240 eratio=ratio*TMath::Sqrt((enumer/numer)*(enumer/numer)+(edenom/denom)*(edenom/denom));
1241 }
1242 hRatio->SetBinContent(iBin,ratio);
1243 hRatio->SetBinError(iBin,eratio);
1244 break;
1245 }
1246 }
1247 }
1248 return hRatio;
1249}
57b5143c 1250
1251Double_t AliBWTools::DoIntegral(TH1* h, Int_t binx1, Int_t binx2, Int_t biny1, Int_t biny2, Int_t binz1, Int_t binz2, Double_t & error ,
1252 Option_t *option, Bool_t doError)
1253{
1254 // function to compute integral and optionally the error between the limits
1255 // specified by the bin number values working for all histograms (1D, 2D and 3D)
1256 // copied from TH! to fix a bug still present in 5-27-06b
1257 Int_t nbinsx = h->GetNbinsX();
1258 if (binx1 < 0) binx1 = 0;
1259 if (binx2 > nbinsx+1 || binx2 < binx1) binx2 = nbinsx+1;
1260 if (h->GetDimension() > 1) {
1261 Int_t nbinsy = h->GetNbinsY();
1262 if (biny1 < 0) biny1 = 0;
1263 if (biny2 > nbinsy+1 || biny2 < biny1) biny2 = nbinsy+1;
1264 } else {
1265 biny1 = 0; biny2 = 0;
1266 }
1267 if (h->GetDimension() > 2) {
1268 Int_t nbinsz = h->GetNbinsZ();
1269 if (binz1 < 0) binz1 = 0;
1270 if (binz2 > nbinsz+1 || binz2 < binz1) binz2 = nbinsz+1;
1271 } else {
1272 binz1 = 0; binz2 = 0;
1273 }
1274
1275 // - Loop on bins in specified range
1276 TString opt = option;
1277 opt.ToLower();
1278 Bool_t width = kFALSE;
1279 if (opt.Contains("width")) width = kTRUE;
1280
1281
1282 Double_t dx = 1.;
1283 Double_t dy = 1.;
1284 Double_t dz = 1.;
1285 Double_t integral = 0;
1286 Double_t igerr2 = 0;
1287 for (Int_t binx = binx1; binx <= binx2; ++binx) {
1288 if (width) dx = h->GetXaxis()->GetBinWidth(binx);
1289 for (Int_t biny = biny1; biny <= biny2; ++biny) {
1290 if (width) dy = h->GetYaxis()->GetBinWidth(biny);
1291 for (Int_t binz = binz1; binz <= binz2; ++binz) {
1292 if (width) dz = h->GetZaxis()->GetBinWidth(binz);
1293 Int_t bin = h->GetBin(binx, biny, binz);
1294 if (width) integral += h->GetBinContent(bin)*dx*dy*dz;
1295 else integral += h->GetBinContent(bin);
1296 if (doError) {
1297 if (width) igerr2 += h->GetBinError(bin)*h->GetBinError(bin)*dx*dy*dz*dx*dy*dz;
1298 else igerr2 += h->GetBinError(bin)*h->GetBinError(bin);
1299 }
1300 // cout << h->GetBinContent(bin) << " " << h->GetBinError(bin) << " " << dx*dy*dz << " " << integral << " +- " << igerr2 << endl;
1301
1302 }
1303 }
1304 }
1305
1306 if (doError) error = TMath::Sqrt(igerr2);
1307 return integral;
1308}
90421222 1309
1310Double_t AliBWTools::dMtdptFunction(Double_t *x, Double_t *p) {
1311
1312 // Computes the dmt/dptdeta function using the dN/dpt function
1313 // This is a protected function used internally by GetdMtdy to integrate dN/dpt function using mt as a weight
1314 // The mass of the particle is given as p[0]
1315 Double_t pt = x[0];
1316 Double_t mass = p[0];
1317 Double_t mt = TMath::Sqrt(pt*pt + mass*mass);
1318 Double_t jacobian = pt/mt;
1319 if(!fdNdptForETCalc){
1320 Printf("AliBWTools::dMtdptFunction: ERROR: fdNdptForETCalc not defined");
1321 return 0;
1322 }
1323 Double_t dNdpt = fdNdptForETCalc->Eval(pt);
1324 return dNdpt*mt*jacobian; // FIXME: do I have to normalize somehow?
1325
1326}
1327
1328Double_t AliBWTools::GetdMtdEta(TH1 *hData, TF1 * fExtrapolation, Double_t mass) {
1329 // Computes dMtdEta integrating dN/dptdy with the proper weights and jacobian.
5e1a7931 1330 Printf("WARNING ALIBWTOOLS::GetdMtdEta: ONLY USING FUNCTION FOR THE TIME BEING, hData");
1331 if(!hData) {
1332 Printf("hData not set");
1333 }
90421222 1334
1335 // Assign the fiunction used internally by dMtdptFunction
1336 fdNdptForETCalc = fExtrapolation;
1337 // Create the function to be integrated
1338 TF1 * funcdMtdPt = new TF1 ("funcdMtdPt", dMtdptFunction, 0.0, 20, 1);
1339 funcdMtdPt->SetParameter(0,mass);
1340 // Integrate it
1341 Double_t dMtdEta = funcdMtdPt->Integral(0,100);
1342 // Clean up
1343 fdNdptForETCalc=0;
1344 delete funcdMtdPt;
1345 //return
1346 return dMtdEta;
1347
1348}