source: trunk/MagicSoft/Mars/mhist/MHOnSubtraction.cc@ 4308

Last change on this file since 4308 was 2522, checked in by tbretz, 21 years ago
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1/* ======================================================================== *\
2!
3! *
4! * This file is part of MARS, the MAGIC Analysis and Reconstruction
5! * Software. It is distributed to you in the hope that it can be a useful
6! * and timesaving tool in analysing Data of imaging Cerenkov telescopes.
7! * It is distributed WITHOUT ANY WARRANTY.
8! *
9! * Permission to use, copy, modify and distribute this software and its
10! * documentation for any purpose is hereby granted without fee,
11! * provided that the above copyright notice appear in all copies and
12! * that both that copyright notice and this permission notice appear
13! * in supporting documentation. It is provided "as is" without expressed
14! * or implied warranty.
15! *
16!
17!
18! Author(s): Robert Wagner 9/2002 <mailto:rw@rwagner.de>
19! Author(s): Robert Wagner 3/2003 <mailto:rw@rwagner.de>
20!
21! Copyright: MAGIC Software Development, 2000-2003
22!
23!
24\* ======================================================================== */
25
26//////////////////////////////////////////////////////////////////////////////
27// //
28// MHOnSubtraction //
29// //
30// //
31// extracts the gamma signal from a pure ON-signal given in an //
32// ALPHA-Energy-Theta histogram. The class will take this histogram from //
33// the parameter list and will provide result histograms in the //
34// parameter list. //
35// //
36// This class still is work in progress. //
37// //
38// //
39//////////////////////////////////////////////////////////////////////////////
40
41// This part of MARS is code still evolving. Please do not change the code
42// without prior feedback by the author.
43
44#include "MHOnSubtraction.h"
45
46#include <TPaveText.h>
47#include <TPaveLabel.h>
48#include <TF1.h>
49#include <TLegend.h>
50#include <TCanvas.h>
51#include <TStyle.h>
52#include <TGraph.h>
53
54#include "MBinning.h"
55#include "MParList.h"
56#include "MHArray.h"
57#include "MH3.h"
58
59#include "MHAlphaEnergyTheta.h"
60#include "MHAlphaEnergyTime.h"
61
62#include "MLog.h"
63#include "MLogManip.h"
64
65ClassImp(MHOnSubtraction);
66
67using namespace std;
68
69// --------------------------------------------------------------------------
70//
71// Default Constructor.
72//
73MHOnSubtraction::MHOnSubtraction(const char *name, const char *title) : fMaxSignif(0), fMaxRedChiSq(0), fSlope(20.0)
74{
75 fName = name ? name : "MHOnSubtraction";
76 fTitle = title ? title : "Extracts Gamma signal from pure ON data";
77 fHistogramType = "Theta";
78 fChiSquareHisto=0;
79 fSignificanceHisto=0;
80 fSummedAlphaPlots=0;
81 fThetaBin=0;
82
83}
84
85
86// --------------------------------------------------------------------------
87//
88// Destructor.
89//
90MHOnSubtraction::~MHOnSubtraction()
91{
92 if (fChiSquareHisto) delete fChiSquareHisto;
93 if (fSignificanceHisto) delete fSignificanceHisto;
94 if (fSummedAlphaPlots) delete fSummedAlphaPlots;
95}
96
97// -----------------------------------------------------------------------
98//
99// Calculate Significance according to Li and Ma, ApJ 272 (1983) 317, eq
100// (17). n_{On}, n_{Off} and the ratio of On-times for On and Off
101// measurements have to be provided.
102//
103// This function underestimates the true significance for it does not take
104// into account errors on the event numbers. A more accurate variation wil
105// be provided soon
106//
107Double_t MHOnSubtraction::CalcSignificance(Double_t nOn, Double_t nOff, Double_t theta)
108{
109 if (nOn<=0)
110 *fLog << warn << "Got " << nOn << " total events, " << flush;
111 if (nOff<=0)
112 *fLog << warn << "Got " << nOff << " background events, " << flush;
113 if (nOn<=0 || nOff<=0.0) {
114 *fLog << warn << "returning significance of 0.0" << endl;
115 return 0.0;
116 }
117 return sqrt(2*(nOn*log((1+theta)*nOn/(theta*(nOn+nOff)))
118 +nOff*log((1+theta)*(nOff/(nOn+nOff)))));
119}
120
121// -----------------------------------------------------------------------
122//
123// This function takes a first look at a given ALPHA distribution
124// and determines if a fit is applicable.
125//
126// Fits a given TH1 containing an ALPHA distribution with a combined
127// gaussian plus polynomial of third grade and returns the fitted
128// function. By signalRegionFactor the width of the region in which
129// signal extraction is to be performed can be specified in units of
130// sigma of the gaussian which is fitted to the distribution (default:
131// 3.5). Accordingly, FitHistogram returns the range in which it suggests
132// signal extraction (lowerBin < ALPHA < upperBin). An estimated
133// significance of the signal is also provided. draw specifies whether
134// FitHistogram should draw the distribution.
135//
136Bool_t MHOnSubtraction::FitHistogram(TH1 &alphaHisto, Double_t &sigLiMa,
137 Double_t &lowerBin, Double_t &upperBin,
138 Float_t signalRegionFactor, const Bool_t draw,
139 TString funcName)
140{
141 if (alphaHisto.GetEntries() == 0) {
142 *fLog << warn << "Histogram contains no entries. Returning. " << endl;
143 lowerBin=0;
144 upperBin=0;
145 sigLiMa=0;
146 if (draw) {
147 TPaveLabel* lab = new TPaveLabel(0.1,0.2,0.9,0.8,"(no events)");
148 lab->SetFillStyle(0);
149 lab->SetBorderSize(0);
150 lab->Draw();
151 }
152 return kFALSE;
153 }
154
155 //cosmetics
156 alphaHisto.GetXaxis()->SetTitle("ALPHA");
157 alphaHisto.GetYaxis()->SetTitle("events");
158
159 Double_t outerEvents = 0.0;
160 Double_t innerEvents = 0.0;
161 Int_t outerBins = 0;
162 Int_t innerBins = 0;
163 Int_t outerBinsZero = 0;
164 Int_t innerBinsZero = 0;
165
166 for (Int_t alphaBin = 1; alphaBin < alphaHisto.GetNbinsX(); alphaBin++) {
167 if ((alphaHisto.GetBinLowEdge(alphaBin) >= -35.)&& //inner Region
168 (alphaHisto.GetBinLowEdge(alphaBin+1) <= 35.0)) {
169 innerEvents+=alphaHisto.GetBinContent(alphaBin);
170 innerBins++;
171 if (alphaHisto.GetBinContent(alphaBin)==0.0)
172 innerBinsZero++;
173 } else {
174 if ((alphaHisto.GetBinLowEdge(alphaBin) >= -89.5)&& //outer Region
175 (alphaHisto.GetBinLowEdge(alphaBin+1) <=89.5)) {
176 outerEvents+=alphaHisto.GetBinContent(alphaBin);
177 outerBins++;
178 if (alphaHisto.GetBinContent(alphaBin)==0.0)
179 outerBinsZero++;
180 }
181 }
182 }
183
184 *fLog << dbg << "Plot contains " <<
185 outerEvents << " outer ev (" << outerEvents/outerBins << "/bin), " <<
186 innerEvents << " inner ev (" << innerEvents/innerBins << "/bin) " << endl;
187
188 if ((outerBinsZero!=0) || (innerBinsZero != 0))
189 *fLog << warn << "There are ";
190 if (outerBinsZero != 0)
191 *fLog << dbg << outerBinsZero << " empty outer bins ";
192 if (innerBinsZero != 0)
193 *fLog << dbg <<innerBinsZero << " empty inner bins ";
194 if ((outerBinsZero!=0) || (innerBinsZero != 0))
195 *fLog << endl;
196
197 if (outerEvents == 0.0) {
198 *fLog << warn << "No events in OFF region. Assuming background = 0"
199 << endl;
200 TF1 *po = new TF1("pol0"+funcName,"pol0(0)",-89.5,89.5);
201 po->SetLineWidth(2);
202 po->SetLineColor(2);
203 po->SetParNames("c");
204 po->SetParameter(0,0.0);
205 alphaHisto.GetListOfFunctions()->Add(po);
206 alphaHisto.SetLineColor(97);
207 if (draw) {
208 alphaHisto.DrawCopy(); //rwagner
209 po->Draw("SAME");
210 }
211 sigLiMa = 0;
212 lowerBin = 1;
213 upperBin = alphaHisto.GetNbinsX()-1;
214 signalRegionFactor = 0;
215
216 return kFALSE; //No gaus fit applied
217 }
218
219 if (outerEvents/outerBins < 2.5) {
220 *fLog << warn << "Only " << /*setprecision(2) <<*/ outerEvents/outerBins
221 << " events/bin in OFF region: "
222 << "Assuming this as background." << endl;
223
224 TF1 *po = new TF1("pol0"+funcName,"pol0(0)",-89.5,89.5);
225 po->SetLineWidth(2);
226 po->SetLineColor(94);
227 po->SetParNames("c");
228 po->SetParameter(0,outerEvents/outerBins);
229 alphaHisto.GetListOfFunctions()->Add(po);
230 if (draw) {
231 alphaHisto.DrawCopy(); //rwagner
232 po->Draw("SAME");
233 }
234
235 Int_t centerBin = alphaHisto.GetXaxis()->FindBin((Double_t)0.0);
236 Int_t maxBin = centerBin > alphaHisto.GetNbinsX() - centerBin ?
237 alphaHisto.GetNbinsX()- centerBin : centerBin;
238
239 Int_t lowerSignalEdge = centerBin;
240 for (Int_t i=3; i < maxBin; i++) {
241 if ((Double_t)alphaHisto.GetBinContent(centerBin-i)
242 < outerEvents/outerBins) {
243 lowerSignalEdge = centerBin-i+1;
244 break;
245 }
246 }
247 if (centerBin<lowerSignalEdge) lowerSignalEdge=centerBin;
248
249 Int_t upperSignalEdge = centerBin;
250 for (Int_t i=3; i < maxBin; i++) {
251 if ((Double_t)alphaHisto.GetBinContent(centerBin+i)
252 <= outerEvents/outerBins) {
253 upperSignalEdge=centerBin+i-1;
254 break;
255 }
256 }
257 if (centerBin>upperSignalEdge) upperSignalEdge=centerBin;
258
259 Double_t nOnInt = 0;
260 for (Int_t i=1; i < alphaHisto.GetNbinsX(); i++)
261 nOnInt += alphaHisto.GetBinContent(i) - outerEvents/outerBins;
262
263 Double_t nOffInt = (upperSignalEdge - lowerSignalEdge + 1)
264 * (outerEvents/outerBins);
265
266 sigLiMa = CalcSignificance(nOnInt, nOffInt, 1);
267
268 if (sigLiMa < 3)
269 alphaHisto.SetLineColor(2);
270
271
272 *fLog << inf << "Estimated significance is " << sigLiMa
273 << " sigma " << endl;
274 *fLog << inf << "Signal region is "
275 << lowerBin << " < ALPHA < " << upperBin
276 << " (Most likely you wanna ignore this)" << endl;
277
278 return kFALSE; //No gaus fit applied
279 }
280
281 //fit combined gaus+pol3 to data
282 TF1 *gp = new TF1("gauspol3"+funcName,"gaus(0)+pol3(3)",-89.5,89.5);
283 gp->SetLineWidth(2);
284 gp->SetLineColor(2);
285 gp->SetParNames("Excess","A","sigma","a","b","c","d");
286 gp->SetParLimits(0, 200,2000);
287 gp->SetParLimits(1, -4.,4.);
288 gp->SetParLimits(2, 2.,20.);
289 // gp->SetParameter(6, 0.0000); // include for slope(0)=0 constrain
290 TString gpDrawOptions = draw ? "RIQ" : "RIQ0";
291 gpDrawOptions = "RIQ0"; // rwagner
292 alphaHisto.Fit("gauspol3"+funcName,gpDrawOptions);
293 alphaHisto.DrawCopy(); //rwagner
294 alphaHisto.SetDirectory(NULL); //rwagner
295
296 Double_t gausMean = gp->GetParameter(1);
297 Double_t gausSigma = gp->GetParameter(2);
298
299// TF1 *p3 = new TF1("p3"+funcName,"pol3(0)",-signalRegionFactor*gausSigma+gausMean,
300// signalRegionFactor*gausSigma+gausMean);
301 TF1 *p3 = new TF1("p3"+funcName,"pol3(0)",-100,
302 100);
303 p3->SetParameters(gp->GetParameter(3),gp->GetParameter(4),
304 gp->GetParameter(5),gp->GetParameter(6));
305 // p3->SetLineStyle(2);
306 p3->SetLineColor(4);
307 p3->SetLineWidth(1);
308 if (draw) p3->Draw("SAME");
309
310 TF1 *ga = new TF1("ga"+funcName,"gaus(0)",-40,40);
311 ga->SetParameters(gp->GetParameter(0),gp->GetParameter(1),gp->GetParameter(2));
312 ga->SetLineColor(93);
313 ga->SetLineWidth(2);
314 // if (draw) ga->Draw("SAME");
315
316 // identify the signal region: signalRegionFactor*gausSigma
317 // this allows us to
318 // (1) determine n_{ON}, n_{OFF}
319 Double_t scalingFactor =
320 (alphaHisto.GetXaxis()->GetBinLowEdge(alphaHisto.GetNbinsX()+1)
321 - alphaHisto.GetXaxis()->GetBinLowEdge(1)) / alphaHisto.GetNbinsX();
322
323 Double_t nOnInt = (gp->Integral(-signalRegionFactor*gausSigma+gausMean,
324 signalRegionFactor*gausSigma+gausMean) / scalingFactor);
325 Double_t nOffInt = (p3->Integral(-signalRegionFactor*gausSigma+gausMean,
326 signalRegionFactor*gausSigma+gausMean) / scalingFactor);
327
328 // (2) determine the signal region from fit in degrees
329 // we do it a bit more complicated: assuming that the binning in all
330 // histograms is the same, we want to be sure that summing up is always
331 // done over the same bins.
332
333 lowerBin = alphaHisto.GetXaxis()->FindBin(-signalRegionFactor*gausSigma+gausMean);
334 upperBin = alphaHisto.GetXaxis()->FindBin( signalRegionFactor*gausSigma+gausMean);
335
336 lowerBin = alphaHisto.GetBinLowEdge((Int_t)lowerBin);
337 upperBin = alphaHisto.GetBinLowEdge((Int_t)upperBin)+alphaHisto.GetBinWidth((Int_t)upperBin);
338
339 sigLiMa = CalcSignificance(nOnInt, nOffInt, 1);
340// if (sigLiMa < 3)
341// alphaHisto.SetLineColor(2);
342
343
344 *fLog << inf << "Fit estimates significance to be "
345 << sigLiMa << " sigma " << endl;
346
347 *fLog << inf << "Fit yields signal region to be "
348 << lowerBin << " < ALPHA < " << upperBin
349 << " (Chisquare/dof=" << gp->GetChisquare()/gp->GetNDF()
350 << ", prob=" << gp->GetProb() << ")" << endl;
351
352 return kTRUE; //returning gaus fit
353}
354
355
356
357
358
359// -----------------------------------------------------------------------
360//
361// Does the actual extraction of the gamma signal. For performance
362// reasons, fits already done by MHOnSubtraction::FitHistogram are used
363// and not redone.
364// From it, a polynomial function for the background is evaluated and the
365// gamma signal is extracted in the region given by lowerBin < ALPHA <
366// upperBin.
367// Significance of the signal is also provided. draw specifies whether
368// FitHistogram should draw the distribution.
369//
370Bool_t MHOnSubtraction::ExtractSignal(TH1 &alphaHisto, Double_t &sigLiMa,
371 Double_t &lowerBin, Double_t &upperBin,
372 Double_t &gammaSignal, Double_t &errorGammaSignal,
373 Double_t &off, Double_t &errorOff,
374 Float_t signalRegionFactor, const Bool_t draw, TString funcName,
375 TPad *drawPad, Int_t drawBase)
376{
377 TF1 *gausPol = alphaHisto.GetFunction("gauspol3"+funcName);
378 TF1 *pol = alphaHisto.GetFunction("pol0"+funcName);
379
380 if (!gausPol && !pol) {
381 *fLog << err << "Fatal: ALPHA histogram has no gauspol or pol "
382 << " fit attached to it." << endl;
383 TPaveLabel* lab = new TPaveLabel(0.1,0.2,0.9,0.8,"(no fit)");
384 lab->SetFillStyle(3000);
385 lab->SetBorderSize(0);
386 lab->DrawClone();
387 lab->SetBit(kCanDelete);
388 return kFALSE;
389 }
390
391 TF1* po;
392 po = NULL;
393
394 if (gausPol) {
395 Double_t gausMean = gausPol->GetParameter(1);
396 Double_t gausSigma = gausPol->GetParameter(2);
397 po = new TF1("po"+funcName,"pol3(0)",
398 -signalRegionFactor*gausSigma+gausMean,
399 signalRegionFactor*gausSigma+gausMean);
400 po->SetParameters(gausPol->GetParameter(3),gausPol->GetParameter(4),
401 gausPol->GetParameter(5),gausPol->GetParameter(6));
402
403 TF1 *ga = new TF1("ga"+funcName,"gaus(0)",-40,40);
404 ga->SetParameters(gausPol->GetParameter(0),gausPol->GetParameter(1),
405 gausPol->GetParameter(2));
406
407 if (draw) {
408 alphaHisto.Draw();
409 gausPol->Draw("SAME"); //Maybe not even necessary?
410
411 po->SetLineColor(4);
412 po->SetLineWidth(2);
413 po->Draw("SAME");
414
415 ga->SetLineColor(93);
416 ga->SetLineWidth(2);
417 ga->Draw("SAME");
418
419 char legendTitle[80];
420 sprintf(legendTitle, "Signal region: %2.1f < #alpha < %2.1f",
421 lowerBin, upperBin);
422
423 TLegend *legend = new TLegend(0.13, 0.52, 0.47, 0.72, legendTitle);
424
425 legend->SetBorderSize(0);
426 legend->SetFillColor(10);
427 legend->SetFillStyle(0);
428 legend->AddEntry(gausPol, "combined N_{on}","l");
429 legend->AddEntry(po,"polynomial N_{bg} Signal region","l");
430 legend->AddEntry(ga, "putative gaussian N_{S}","l");
431 legend->Draw();
432 }
433 } // gausPol
434
435
436 if (pol) {
437 po = pol;
438
439 if (draw) {
440 alphaHisto.Draw();
441
442 po->SetLineColor(6);
443 po->SetLineWidth(2);
444 po->Draw("SAME");
445
446 char legendTitle[80];
447 sprintf(legendTitle, "Signal region: %2.1f < #alpha < %2.1f",
448 lowerBin, upperBin);
449
450 TLegend *legend = new TLegend(0.13, 0.52, 0.47, 0.72, legendTitle);
451
452 legend->SetBorderSize(0);
453 legend->SetFillColor(10);
454 legend->SetFillStyle(0);
455 legend->AddEntry(po,"polynomial N_{bg} Signal region","l");
456 legend->Draw();
457 }
458 } // pol
459
460 Double_t nOn = 0;
461 Double_t eNOn = 0;
462
463 Int_t binNumberLow = alphaHisto.GetXaxis()->FindBin(lowerBin);
464 Int_t binNumberHigh = alphaHisto.GetXaxis()->FindBin(upperBin);
465
466 for (Int_t bin=binNumberLow; bin<binNumberHigh+1; bin++) {
467 nOn += alphaHisto.GetBinContent(bin);
468 eNOn += alphaHisto.GetBinError(bin) * alphaHisto.GetBinError(bin);
469 } //for bin
470 eNOn = sqrt(eNOn);
471
472 // Evaluate background
473
474 Double_t nOff = 0;
475 Double_t eNOff = 0;
476 for (Int_t bin=binNumberLow; bin<binNumberHigh+1; bin++) {
477 Double_t x = .5*(alphaHisto.GetBinLowEdge(bin)+alphaHisto.GetBinLowEdge(bin+1));
478 Double_t offEvts = po->Eval(x);
479 //cout << bin << ": " << offEvts << endl;
480 nOff += offEvts;
481 } //for bin
482 eNOff = sqrt(fabs(nOff));
483
484 if (nOn==0) // there should not be a negative number of signal events
485 nOff=0;
486
487 if (nOff<0) { // there should not be a negative number of off events
488 nOff=0;
489 eNOff=0;
490 }
491
492 *fLog << inf << "nEvts = " << nOn << "+-" << eNOn << ", ";
493
494 off = nOff; errorOff = eNOff;
495 gammaSignal = nOn-nOff; errorGammaSignal = sqrt(eNOn*eNOn + eNOff*eNOff);
496
497 *fLog << inf << "nBack = " << nOff << "+-" << eNOff << ", ";
498 *fLog << inf << "nSig = " << gammaSignal << "+-" << errorGammaSignal << endl;
499
500 sigLiMa = CalcSignificance(nOn, nOff, 1);
501 // Double_t sigFit=(ga->GetParameter(1))/(ga->GetParError(1)); //Mean / sigMean
502
503 *fLog << inf << "Significance: "<<sigLiMa<<" sigma "<<endl;
504
505 if (draw) {
506 TPaveText *pt = new TPaveText(0.11,.74,.57,.88,"NDC ");
507 char tx[60];
508 sprintf(tx, "Excess: %2.2f #pm %2.2f", nOn-nOff, sqrt(eNOn*eNOn + eNOff*eNOff));
509 pt->AddText(tx);
510 sprintf(tx, "Off: %2.2f #pm %2.2f", nOff, eNOff);
511 pt->AddText(tx);
512 sprintf(tx, "Significance: %2.2f #sigma", sigLiMa);
513 pt->AddText(tx);
514 pt->SetFillStyle(0);
515 pt->SetBorderSize(0);
516 pt->SetTextAlign(12);
517 pt->Draw("");
518 }
519 if (draw||drawPad) {
520
521 // Plot significance vs alpha_cut
522
523 Int_t centerBin = alphaHisto.GetXaxis()->FindBin((Double_t)0.0);
524 Int_t maxBin = centerBin > alphaHisto.GetNbinsX()- centerBin ?
525 alphaHisto.GetNbinsX()- centerBin : centerBin;
526
527 const Int_t totalBins = centerBin;
528 Float_t alpha[totalBins];
529 Float_t signi[totalBins];
530 Float_t maxSigni = 0;
531
532 for (Int_t i=0; i < maxBin; i++) {
533 Double_t nOn = 0; Double_t eNOn = 0;
534 Double_t nOff = 0; Double_t eNOff = 0;
535 for (Int_t bin=centerBin-i; bin<centerBin+i+1; bin++) {
536 nOn += alphaHisto.GetBinContent(bin);
537 eNOn += alphaHisto.GetBinError(bin) * alphaHisto.GetBinError(bin);
538 Double_t x = .5*(alphaHisto.GetBinLowEdge(bin)+alphaHisto.GetBinLowEdge(bin+1));
539 Double_t offEvts = po->Eval(x);
540 nOff += offEvts;
541 } //for bin
542 eNOn = sqrt(eNOn);
543 eNOff = sqrt(nOff);
544 alpha[i] =
545 (alphaHisto.GetXaxis()->GetBinLowEdge(centerBin+i+1)-
546 alphaHisto.GetXaxis()->GetBinLowEdge(centerBin-i))/2;
547 signi[i] = CalcSignificance(nOn, nOff, 1);
548 maxSigni = maxSigni > signi[i] ? maxSigni : signi[i];
549 }
550
551 if (!drawPad) {
552 TCanvas *c3 = new TCanvas("c3"+funcName, "Significance vs ALPHA cut", 800,600);
553 c3->cd();
554 }
555
556 if (drawPad)
557 drawPad->cd(drawBase-1);
558
559 TGraph* gr = new TGraph(totalBins-2,alpha,signi);
560 TString drawOpt = "L";
561
562 if (draw || (drawPad && fSigniPlotIndex == 0))
563 drawOpt += "A";
564
565 gr->Draw(drawOpt);
566 if (drawPad && fSigniPlotIndex == 0) {
567 gr->GetXaxis()->SetTitle("|#alpha_{max}|");
568 gr->GetYaxis()->SetTitle("Significance");
569 }
570 gr->SetMarkerStyle(2);
571 gr->SetMarkerSize(1);
572 gr->SetMarkerColor(4+fSigniPlotIndex);
573 gr->SetLineColor(4+fSigniPlotIndex);
574 gr->SetLineWidth(1);
575 gr->SetTitle("Significance vs ALPHA integration range");
576 gr->Draw("L");
577
578 fSigniPlotIndex++;
579
580 } //draw
581
582 return kTRUE;
583}
584
585// -----------------------------------------------------------------------
586//
587// Extraction of Gamma signal is performed on a MHAlphaEnergyTheta or
588// MHAlphaEnergyTime object expected in the ParList.
589//
590Bool_t MHOnSubtraction::Calc(MParList *parlist, const Bool_t Draw)
591{
592 //Find source histograms
593 fHistogramType = "Theta";
594 MHAlphaEnergyTheta* mhisttheta = (MHAlphaEnergyTheta*)parlist->FindObject("MHAlphaEnergyTheta");
595 if (mhisttheta) return Calc((TH3D*)mhisttheta->GetHist(), parlist, Draw);
596
597 fHistogramType = "Time";
598 MHAlphaEnergyTime* mhisttime = (MHAlphaEnergyTime*)parlist->FindObject("MHAlphaEnergyTime");
599 if (mhisttime) return Calc((TH3D*)mhisttime->GetHist(), parlist, Draw);
600
601 *fLog << err << "No MHAlphaEnergyTheta type object found in the parameter list. Aborting." << endl;
602 return kFALSE;
603}
604
605// -----------------------------------------------------------------------
606//
607// Extraction of Gamma signal is performed on a TH3D histogram in
608// ALPHA, Energy and Theta.
609//
610Bool_t MHOnSubtraction::CalcAET(TH3D *aetHisto, MParList *parlist, const Bool_t Draw)
611{
612 // Analyze aetHisto
613 // -------------------------------------
614 Int_t alphaBins = aetHisto->GetNbinsX(); // # of alpha bins
615 Int_t energyBins = aetHisto->GetNbinsY();
616 Int_t thetaBins = aetHisto->GetNbinsZ();
617
618 // We output an array of histograms to the parlist.
619 // Create a template for such a histogram, needed by MHArray
620 // -------------------------------------
621 MBinning *binsfft = new MBinning("BinningMH3X");
622 binsfft->SetEdgesLog(energyBins,aetHisto->GetYaxis()->GetBinLowEdge(1),
623 aetHisto->GetYaxis()->GetBinLowEdge(energyBins+1));
624 parlist->AddToList(binsfft);
625 MH3 *energyHistogram = new MH3(1); // The template histogram in energy
626 // for a given theta value
627 energyHistogram->SetName("MHOnSubtractionEnergyHistogramTemplate");
628 parlist->AddToList(energyHistogram);
629
630 fThetaHistoArray = new MHArray("MHOnSubtractionEnergyHistogramTemplate", kTRUE,
631 "MHOnSubtractionGammaSignalArray",
632 "Array of histograms in energy bins");
633 fThetaHistoArray->SetupFill(parlist);
634 parlist->AddToList(fThetaHistoArray);
635
636 // Canvases---direct debug output for the time being
637 // -------------------------------------
638 TCanvas *c3 = new TCanvas("c3", "Plots by MHOnSubtraction::ExtractSignal", 800,600);
639 cout << thetaBins << " x " << energyBins << endl;
640 c3->Divide(thetaBins,energyBins);
641
642 TCanvas *c4a = new TCanvas("c4a", "Energy distributions for different ZA", 800,600);
643
644 TH1D* histalphaon[energyBins*thetaBins]; // ALPHA histograms
645
646 fChiSquareHisto = new TH1D("fChiSquareHisto", "#chi^{2}/d.o.f. of fits", 50, 0, 5);
647 fSignificanceHisto = new TH1D("fSignificanceHisto", "Significances", 41, -0.5, 40.5);
648 fSummedAlphaPlots = new TH1D("fSummedAlphaPlots", "Cumulative Alpha",
649 alphaBins,aetHisto->GetXaxis()->GetBinLowEdge(1),
650 aetHisto->GetXaxis()->GetBinLowEdge(alphaBins+1));
651
652 // -------------------------------------
653
654 fThetaLegend = new TLegend(0.83, 0.07, 0.98, 0.42, "Energy Distributions");
655 fThetaLegend->SetBorderSize(1);
656
657 Double_t overallSigLiMa = 0;
658
659 for (Int_t thetaBin = 1; thetaBin < thetaBins+1; thetaBin++) {
660
661 char hname[80];
662 sprintf(hname, "Energy distribution for %s bin %d", fHistogramType.Data(),
663 thetaBin);
664 *fLog << all << "Calculating " << hname << endl;
665
666 Double_t minLowerBin = -10; // minimum integration range
667 Double_t maxUpperBin = 10; // minimum integration range
668 Double_t maxAlpha = 70; // maximum integration range
669
670 Double_t sumSigLiMa = 0;
671
672 // This loop just fixes the integration range
673 // And alerts when no significant excess is found.
674
675 for (Int_t energyBin = 1; energyBin < energyBins+1; energyBin++) {
676
677 sprintf(hname, "histalphaon%d", (thetaBin-1)*(energyBins)+energyBin);
678 histalphaon[(thetaBin-1)*(energyBins)+energyBin] =
679 new TH1D(hname, "ALPHA histogram",
680 alphaBins,aetHisto->GetXaxis()->GetBinLowEdge(1),
681 aetHisto->GetXaxis()->GetBinLowEdge(alphaBins+1));
682 histalphaon[(thetaBin-1)*(energyBins)+energyBin]->Sumw2();
683 histalphaon[(thetaBin-1)*(energyBins)+energyBin]->SetTitle(hname);
684
685 sprintf(hname,"ALPHA distribution for E bin %d, theta bin %d",
686 energyBin, thetaBin);
687 *fLog << inf << hname << endl;
688
689 // now we fill one histogram for one particular set
690 // of Energy and Theta...
691
692 if (aetHisto->InheritsFrom("TH3D")||aetHisto->InheritsFrom("TH2D")) {
693 aetHisto->GetYaxis()->SetRange(energyBin,energyBin); // E
694 if (aetHisto->InheritsFrom("TH3D"))
695 aetHisto->GetZaxis()->SetRange(thetaBin,thetaBin); // theta
696 histalphaon[(thetaBin-1)*(energyBins)+energyBin] = (TH1D*)aetHisto->Project3D("xe");
697 } else {
698 histalphaon[(thetaBin-1)*(energyBins)+energyBin] = (TH1D*)aetHisto;
699 }
700
701 *fLog << inf << "This histogram has "
702 << histalphaon[(thetaBin-1)*(energyBins)+energyBin]->GetEntries()
703 << " entries" << endl;
704
705 sprintf(hname, "histalphaon%d", (thetaBin-1)*(energyBins)+energyBin);
706 histalphaon[(thetaBin-1)*(energyBins)+energyBin]->SetName(hname);
707
708 // Test: Find signal region and significance in histogram
709 Double_t lowerBin, upperBin, sSigLiMa;
710 FitHistogram(*histalphaon[(thetaBin-1)*(energyBins)+energyBin],
711 sSigLiMa, lowerBin, upperBin, (Float_t)3.5, kFALSE);
712
713 Double_t redChiSq = histalphaon[(thetaBin-1)*(energyBins)+energyBin]->GetFunction("gauspol3")->GetChisquare()/histalphaon[(thetaBin-1)*(energyBins)+energyBin]->GetFunction("gauspol3")->GetNDF();
714
715 fChiSquareHisto->Fill(redChiSq);
716 fMaxRedChiSq = redChiSq > fMaxRedChiSq ? redChiSq : fMaxRedChiSq;
717
718 // histalphaon[(thetaBin-1)*(energyBins)+energyBin]->GetFunction("gauspol3")->GetProb() <<endl;
719
720 fSummedAlphaPlots->Add(histalphaon[(thetaBin-1)*(energyBins)+energyBin], 1);
721
722 if (sSigLiMa < 3)
723 *fLog << inf << "No significant excess for this bin (sigma="<< sSigLiMa <<")!"<<endl;
724 sumSigLiMa+=sSigLiMa;
725
726 // Evaluate integration range
727
728 lowerBin = (lowerBin < -maxAlpha) ? -maxAlpha : lowerBin;
729 minLowerBin = (lowerBin < minLowerBin) ? lowerBin : minLowerBin;
730
731 upperBin = (upperBin > maxAlpha) ? maxAlpha : upperBin;
732 maxUpperBin = (upperBin > maxUpperBin) ? upperBin : maxUpperBin;
733
734 } //energyBin
735
736 *fLog << inf << "Integration range for this " << fHistogramType
737 << " value will be " << minLowerBin << " < ALPHA < "
738 << maxUpperBin << endl;
739
740 *fLog << inf << "Summed estd. significance for this " << fHistogramType
741 << " value is " << sumSigLiMa << endl;
742
743 // Create Histogram in Energy for this Theta value
744 cout << "STARTIGN REAL CALC1 "<< endl;
745 fThetaHistoArray->AddHistogram();
746 cout << "STARTIGN REAL CALC1a "<< endl;
747 fThetaHistoArray->SetIndex(thetaBin-1);
748
749 MH3 &mThetaHisto = *(MH3*)(fThetaHistoArray->GetH());
750 mThetaHisto.Print();
751
752 TH1D &thetaHisto = (TH1D&)(mThetaHisto.GetHist());
753 sprintf(hname,"Energy distribution for theta bin %d", thetaBin);
754 thetaHisto.SetTitle(hname);
755 thetaHisto.SetEntries(0);
756
757 // we have a rough idea of what is going on in the ALPHA plot...
758 // So now we can indeed extract the signal.
759
760// cout << "STARTIGN REAL CALC "<< endl;
761
762 sumSigLiMa = 0;
763 for (Int_t energyBin = 1; energyBin < energyBins+1; energyBin++) {
764
765 sprintf(hname,"ALPHA distribution for E bin %d, theta bin %d",
766 energyBin, thetaBin);
767 *fLog << inf << hname << endl;
768
769 Double_t gammaSignal, errorGammaSignal, off, errorOff, sigLiMa;
770
771 c3->cd((thetaBin-1)*(energyBins)+energyBin);
772
773 ExtractSignal(*histalphaon[(thetaBin-1)*(energyBins)+energyBin],
774 sigLiMa, minLowerBin, maxUpperBin,
775 gammaSignal, errorGammaSignal,
776 off, errorOff, (Float_t)3, kTRUE);
777
778 fSignificanceHisto->Fill(sigLiMa);
779 fMaxSignif = sigLiMa > fMaxSignif ? sigLiMa : fMaxSignif;
780
781 thetaHisto.SetBinContent(energyBin, gammaSignal*TMath::Exp(7-energyBin));
782 thetaHisto.SetBinError(energyBin, errorGammaSignal);
783 thetaHisto.SetEntries(thetaHisto.GetEntries()+gammaSignal);
784
785 sumSigLiMa += sigLiMa;
786
787 }//energyBin
788
789 *fLog << inf << "Summed significance for this " << fHistogramType
790 << " value is " << sumSigLiMa << endl;
791
792 //fit exponential function to data
793 TF1* e = new TF1("expF","expo",0,5);
794 e->SetLineWidth(3);
795 e->SetLineColor(thetaBin);
796 // e->SetParLimits(1, -0.5,3); //limits on slope
797
798 if (fSlope!=20.0) {
799 e->SetParameter(1, fSlope);
800 *fLog << inf << "Fixing slope to " << e->GetParameter(1) << endl;
801 }
802
803 TString eDrawOptions = Draw ? "RIQ" : "RIQ0";
804 cout << "doing the fit" << endl;
805 thetaHisto.Fit("expF");
806
807 Double_t expoSlope = e->GetParameter(1);
808
809 *fLog << inf << "Determined slope for energy distribution is "
810 << expoSlope << endl;
811
812 Double_t integralEvts =
813 e->Integral(aetHisto->GetYaxis()->GetBinLowEdge(1),
814 aetHisto->GetYaxis()->GetBinLowEdge(energyBins+1));
815
816 *fLog << inf << "Integral in E range [" <<
817 aetHisto->GetYaxis()->GetBinLowEdge(1) << ";" <<
818 aetHisto->GetYaxis()->GetBinLowEdge(energyBins+1) << "] is " <<
819 integralEvts << endl;
820
821 // Plot Energy histogram
822
823 c4a->cd(0);
824 thetaHisto.SetLineColor(thetaBin);
825 if (thetaBin==1) {
826 thetaHisto.Draw();
827 } else {
828 thetaHisto.Draw("SAME");
829 }
830
831 sprintf(hname,"Theta bin %d",thetaBin);
832 fThetaLegend->AddEntry(&thetaHisto, hname, "l");
833
834 overallSigLiMa += sumSigLiMa;
835
836 } //thetaBin
837
838 fThetaLegend->Draw();
839
840 Double_t sigLiMa, lowerBin, upperBin;
841 FitHistogram(*fSummedAlphaPlots, sigLiMa, lowerBin, upperBin);
842 fSummedAlphaPlots->SetTitle("Cumulative ALPHA distribution");
843
844 *fLog << inf << "Summed overall significance is " << overallSigLiMa << endl;
845
846 *fLog << inf << "Setting range for Significance histo " << fMaxSignif << endl;
847 // fSignificanceHisto->GetXaxis()->SetRange(0,fMaxSignif+1);
848
849 // *fLog << inf << "Setting range for chisq histo " << fMaxRedChiSq << endl;
850 // fChiSquareHisto->GetXaxis()->SetRange(0,fMaxRedChiSq+5);
851
852 return kTRUE;
853}
854
855
856
857
858
859
860
861
862// -----------------------------------------------------------------------
863//
864// Extraction of Gamma signal is performed on a TH3D histogram in
865// ALPHA, Energy and Theta. Output to parameter list: TH2 histograms
866// in energy and Theta.
867//
868Bool_t MHOnSubtraction::Calc(TH3 *aetHisto, MParList *parlist, const Bool_t Draw)
869{
870 // Analyze aetHisto
871 // -------------------------------------
872 Int_t energyBins = aetHisto->GetNbinsY();
873 Int_t thetaBins = aetHisto->GetNbinsZ();
874
875 *fLog << "Total events: " << aetHisto->GetEntries() << endl;
876 *fLog << "Total energy bins: " << energyBins << endl;
877 *fLog << "Total theta bins: " << thetaBins << endl;
878
879 // We output results in an array of histograms to the parameter list.
880 // Create a template for such a histogram, needed by MH3
881 // -------------------------------------
882 MBinning *binsmh3x = new MBinning("BinningMH3X");
883 // dummy binning, real one follows some lines down
884 binsmh3x->SetEdgesLog(energyBins,aetHisto->GetYaxis()->GetBinLowEdge(1),
885 aetHisto->GetYaxis()->GetBinLowEdge(energyBins+1));
886 parlist->AddToList(binsmh3x);
887
888 MBinning *binsmh3y = new MBinning("BinningMH3Y");
889 // dummy binning, real one follows some lines down
890 binsmh3y->SetEdges(thetaBins,aetHisto->GetZaxis()->GetBinLowEdge(1),
891 aetHisto->GetZaxis()->GetBinLowEdge(thetaBins+1));
892 parlist->AddToList(binsmh3y);
893
894 MH3 *signalHisto = new MH3(2); // Signal(E,t)
895 signalHisto->SetupFill(parlist);
896 parlist->AddToList(signalHisto);
897 signalHisto->SetName("MHOnSubtractionSignal");
898 signalHisto->SetTitle("Gamma Events");
899
900 MH3 *offHisto = new MH3(2); // Off(E,t)
901 offHisto->SetupFill(parlist);
902 parlist->AddToList(offHisto);
903 offHisto->SetName("MHOnSubtractionOff");
904 offHisto->SetTitle("Background Events");
905
906 MH3 *signifHisto = new MH3(2); // Significance(E,t)
907 signifHisto->SetupFill(parlist);
908 parlist->AddToList(signifHisto);
909 signifHisto->SetName("MHOnSubtractionSignif");
910 signifHisto->SetTitle("Significance");
911
912// if (!fChiSquareHisto)
913// fChiSquareHisto = new TH1D("fChiSquareHisto", "#chi^{2}/d.o.f. of fits", 50, 0, 5);
914// if (!fSignificanceHisto)
915// fSignificanceHisto = new TH1D("fSignificanceHisto", "Significances", 40.5, -0.5, 41);
916// if (!fSummedAlphaPlots)
917// fSummedAlphaPlots = new TH1D("fSummedAlphaPlots", "Cumulative Alpha",
918// alphaBins,aetHisto->GetXaxis()->GetBinLowEdge(1),
919// aetHisto->GetXaxis()->GetBinLowEdge(alphaBins+1));
920
921 TCanvas *c4 = new TCanvas("c4", "MHOnSubtraction Detailed Result Plots", 800,600);
922 c4->Divide(energyBins+3,thetaBins,0,0,0);
923
924 TH2D& signalTH2DHist = (TH2D&)signalHisto->GetHist();
925 TH2D& offTH2DHist = (TH2D&)offHisto->GetHist();
926 TH2D& signifTH2DHist = (TH2D&)signifHisto->GetHist();
927
928 signalTH2DHist.Reset();
929 signalTH2DHist.SetTitle("Gamma Signal");
930 signalTH2DHist.SetXTitle("E [GeV]");
931 signalTH2DHist.SetYTitle("theta [deg]");
932 signalHisto->SetBinning(&signalTH2DHist, aetHisto->GetYaxis(), aetHisto->GetZaxis());
933 signalTH2DHist.Sumw2();
934
935 offTH2DHist.Reset();
936 offTH2DHist.SetTitle("Off Signal");
937 offTH2DHist.SetXTitle("E [GeV]");
938 offTH2DHist.SetYTitle("theta [deg]");
939 offHisto->SetBinning(&offTH2DHist, aetHisto->GetYaxis(), aetHisto->GetZaxis());
940 offTH2DHist.Sumw2();
941
942 signifTH2DHist.Reset();
943 signifTH2DHist.SetTitle("Significance");
944 signifTH2DHist.SetXTitle("E [GeV]");
945 signifTH2DHist.SetYTitle("theta [deg]");
946 signifHisto->SetBinning(&signifTH2DHist, aetHisto->GetYaxis(), aetHisto->GetZaxis());
947 signifTH2DHist.Sumw2();
948
949 for (Int_t thetaBin = 1; thetaBin < thetaBins+1; thetaBin++) {
950
951 *fLog << dbg << "--------------------------------------" << endl;
952 *fLog << dbg << "Processing ALPHA plots for theta bin " << thetaBin << endl;
953 *fLog << dbg << "--------------------------------------" << endl;
954 aetHisto->GetZaxis()->SetRange(thetaBin, thetaBin);
955 TH2F* aeHisto = (TH2F*)aetHisto->Project3D("yxe");
956 aeHisto->SetDirectory(NULL);
957 char hname[80];
958 sprintf(hname, "%2.1f < #theta < %2.1f",
959 aetHisto->GetZaxis()->GetBinLowEdge(thetaBin),
960 aetHisto->GetZaxis()->GetBinLowEdge(thetaBin+1));
961 *fLog << inf << "There are " << aeHisto->GetEntries()
962 << " entries in " << hname << endl;
963 aeHisto->SetTitle(hname);
964 sprintf(hname, "MHOnSubtractionThetaBin%d", thetaBin);
965 aeHisto->SetName(hname);
966
967 c4->cd((energyBins+3)*(thetaBin-1)+1);
968 aeHisto->SetMarkerColor(3);
969 aeHisto->DrawCopy();
970
971 c4->Update();
972
973 // We hand over a nonstandard parameter list, which
974 // contails lower-dimensional result histograms
975 // signalHisto, offHisto and signifHisto
976
977// cout << fLog->GetDebugLevel() << endl;
978 fLog->SetDebugLevel(1);
979
980 MParList *parlistth2 = new MParList();
981 // parlistth2->SetNullOutput();
982 parlistth2->AddToList(binsmh3x);
983
984 MH3* signalHisto2 = new MH3(1); // Signal(E)
985 signalHisto2->SetupFill(parlistth2);
986 parlistth2->AddToList(signalHisto2);
987 signalHisto2->SetName("MHOnSubtractionSignal");
988 signalHisto2->SetTitle("Gamma Events");
989
990 MH3* offHisto2 = new MH3(1); // Off(E)
991 offHisto2->SetupFill(parlistth2);
992 parlistth2->AddToList(offHisto2);
993 offHisto2->SetName("MHOnSubtractionOff");
994 offHisto2->SetTitle("Background Events");
995
996 MH3* signifHisto2 = new MH3(1); // Significance(E)
997 signifHisto2->SetupFill(parlistth2);
998 parlistth2->AddToList(signifHisto2);
999 signifHisto2->SetName("MHOnSubtractionSignif");
1000 signifHisto2->SetTitle("Significance");
1001
1002 fLog->SetDebugLevel(-1);
1003
1004 TH1D& signalTH1DHist = (TH1D&)signalHisto2->GetHist();
1005 TH1D& offTH1DHist = (TH1D&)offHisto2->GetHist();
1006 TH1D& signifTH1DHist = (TH1D&)signifHisto2->GetHist();
1007
1008 signalTH1DHist.Sumw2();
1009 offTH1DHist.Sumw2();
1010 signifTH1DHist.Sumw2();
1011
1012 TH2Calc(aeHisto, parlistth2, kFALSE, c4,
1013 (energyBins+3)*(thetaBin-1)+4);
1014
1015
1016 for (Int_t energyBin = 1; energyBin < energyBins+1; energyBin++) {
1017
1018 // cout << "filling " << thetaBin << " " << energyBin << ": "
1019// << signalTH1DHist.GetBinContent(energyBin) << "+-"
1020// << signalTH1DHist.GetBinError(energyBin) << " "
1021// << offTH1DHist.GetBinContent(energyBin) << "+-"
1022// << offTH1DHist.GetBinError(energyBin) << endl;
1023
1024 if (signalTH1DHist.GetBinContent(energyBin)>=0.0) {
1025 signalTH2DHist.SetBinContent(energyBin, thetaBin,
1026 signalTH1DHist.GetBinContent(energyBin));
1027 signalTH2DHist.SetBinError(energyBin, thetaBin,
1028 signalTH1DHist.GetBinError(energyBin));
1029 }
1030
1031 if (offTH1DHist.GetBinContent(energyBin)>=0.0) {
1032 offTH2DHist.SetBinContent(energyBin, thetaBin,
1033 offTH1DHist.GetBinContent(energyBin));
1034 offTH2DHist.SetBinError(energyBin, thetaBin,
1035 offTH1DHist.GetBinError(energyBin));
1036 }
1037
1038 signifTH2DHist.SetBinContent(energyBin, thetaBin,
1039 signifTH1DHist.GetBinContent(energyBin));
1040 signifTH2DHist.SetBinError(energyBin, thetaBin,
1041 signifTH1DHist.GetBinError(energyBin));
1042 } //energyBin
1043
1044
1045 c4->cd((energyBins+3)*(thetaBin-1)+2);
1046 sprintf(hname,"c4_%d",(energyBins+3)*(thetaBin-1)+2);
1047 TPad* tp = (TPad*)(gROOT->FindObject(hname));
1048 tp->SetLogx();
1049 signalTH1DHist.SetLineColor(2);
1050 signalTH1DHist.DrawCopy();
1051 offTH1DHist.SetLineColor(4);
1052 offTH1DHist.DrawCopy("SAME");
1053 c4->Update();
1054
1055 signalTH2DHist.SetEntries(signalTH2DHist.GetEntries()+signalTH1DHist.GetEntries());
1056 offTH2DHist.SetEntries(offTH2DHist.GetEntries()+offTH1DHist.GetEntries());
1057 signifTH2DHist.SetEntries(signifTH2DHist.GetEntries()+signifTH1DHist.GetEntries());
1058
1059 delete signifHisto2;
1060 delete offHisto2;
1061 delete signalHisto2;
1062 delete parlistth2;
1063
1064 }
1065
1066
1067 c4->Update();
1068
1069 return kTRUE;
1070}
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1121
1122/*
1123
1124// -----------------------------------------------------------------------
1125//
1126// Extraction of Gamma signal is performed on a TH3D histogram in
1127// ALPHA, Energy and Theta. Output to parameter list: TH2 histograms
1128// in energy and Theta.
1129//
1130Bool_t MHOnSubtraction::CalcLightCurve(TH3 *aetHisto, MParList *parlist, const Bool_t draw)
1131{
1132 // Analyze aetHisto
1133 // -------------------------------------
1134 Int_t alphaBins = aetHisto->GetNbinsX();
1135 Int_t energyBins = aetHisto->GetNbinsY();
1136 Int_t timeBins = aetHisto->GetNbinsZ();
1137
1138 *fLog << "Total events: " << aetHisto->GetEntries() << endl;
1139 *fLog << "Total energy bins: " << energyBins << endl;
1140 *fLog << "Total time bins: " << timeBins << endl;
1141
1142 // We output results in an array of histograms to the parameter list.
1143 // Create a template for such a histogram, needed by MH3
1144 // -------------------------------------
1145 MBinning *binsmh3x = new MBinning("BinningMH3X");
1146 // dummy binning, real one follows some lines down
1147 binsmh3x->SetEdges(timeBins,aetHisto->GetZaxis()->GetBinLowEdge(1),
1148 aetHisto->GetZaxis()->GetBinLowEdge(timeBins+1));
1149 parlist->AddToList(binsmh3x);
1150
1151 MH3 *signalHisto = new MH3(1); // Signal(t)
1152 signalHisto->SetupFill(parlist);
1153 parlist->AddToList(signalHisto);
1154 signalHisto->SetName("MHOnSubtractionSignal");
1155 signalHisto->SetTitle("Gamma Events");
1156
1157 MH3 *offHisto = new MH3(1); // Off(t)
1158 offHisto->SetupFill(parlist);
1159 parlist->AddToList(offHisto);
1160 offHisto->SetName("MHOnSubtractionOff");
1161 offHisto->SetTitle("Background Events");
1162
1163 MH3 *signifHisto = new MH3(1); // Significance(t)
1164 signifHisto->SetupFill(parlist);
1165 parlist->AddToList(signifHisto);
1166 signifHisto->SetName("MHOnSubtractionSignif");
1167 signifHisto->SetTitle("Significance");
1168
1169 TH1D& signalTH1DHist = (TH1D&)signalHisto->GetHist();
1170 TH1D& offTH1DHist = (TH1D&)offHisto->GetHist();
1171 TH1D& signifTH1DHist = (TH1D&)signifHisto->GetHist();
1172
1173 signalTH1DHist.Reset();
1174 signalTH1DHist.SetTitle("Gamma Signal");
1175 signalTH1DHist.SetXTitle("Time [MJD]");
1176 signalTH1DHist.SetYTitle("Events");
1177 signalHisto->SetBinning(&signalTH1DHist, aetHisto->GetZaxis());
1178 signalTH1DHist.Sumw2();
1179
1180 offTH1DHist.Reset();
1181 offTH1DHist.SetTitle("Background Signal");
1182 offTH1DHist.SetXTitle("Time [MJD]");
1183 offTH1DHist.SetYTitle("Events");
1184 offHisto->SetBinning(&offTH1DHist, aetHisto->GetZaxis());
1185 offTH1DHist.Sumw2();
1186
1187 signifTH1DHist.Reset();
1188 signifTH1DHist.SetTitle("Significance");
1189 signifTH1DHist.SetXTitle("Time [MJD]");
1190 signifTH1DHist.SetYTitle("Significance #sigma");
1191 signifHisto->SetBinning(&signifTH1DHist, aetHisto->GetZaxis());
1192 signifTH1DHist.Sumw2();
1193
1194 //The following histogram is an additional histogram needed for
1195 //the light curve
1196
1197 TCanvas *c4 = new TCanvas("c4", "MHOnSubtraction Detailed Result Plots", 800,600);
1198 c4->Divide(8,7,0,0,0);
1199
1200
1201
1202 // The following loop fixes a common integration region for each
1203 // energy bin and alerts when no significant excess is found.
1204
1205 Double_t minLowerBin = -10; // minimum integration range
1206 Double_t maxUpperBin = 10; // minimum integration range
1207 Double_t maxAlpha = 70; // maximum integration range
1208 Double_t sumSigLiMa = 0;
1209
1210 TH1F* alphaHisto[timeBins];
1211
1212 for (Int_t timeBin = 1; timeBin < timeBins+1; timeBin++) {
1213
1214 *fLog << dbg << "--------------------------------------" << endl;
1215 *fLog << dbg << "Processing ALPHA plots for time bin " << timeBin << endl;
1216 *fLog << dbg << "--------------------------------------" << endl;
1217
1218 aetHisto->GetZaxis()->SetRange(timeBin, timeBin);
1219
1220 char hname[80];
1221 sprintf(hname, "MHOnSubtractionTimeBin%d", timeBin);
1222 alphaHisto[timeBin-1] =
1223 new TH1F(hname, "ALPHA histogram",
1224 alphaBins,aetHisto->GetXaxis()->GetBinLowEdge(1),
1225 aetHisto->GetXaxis()->GetBinLowEdge(alphaBins+1));
1226 alphaHisto[timeBin-1]->SetDirectory(NULL);
1227 alphaHisto[timeBin-1]->Sumw2();
1228 alphaHisto[timeBin-1] = (TH1F*)aetHisto->Project3D("xe");
1229 alphaHisto[timeBin-1]->SetName(hname);
1230 alphaHisto[timeBin-1]->SetDirectory(NULL);
1231
1232 sprintf(hname, "%6.0f < t < %6.0f",
1233 aetHisto->GetZaxis()->GetBinLowEdge(timeBin),
1234 aetHisto->GetZaxis()->GetBinLowEdge(timeBin+1));
1235 *fLog << inf << "There are " << alphaHisto[timeBin-1]->GetEntries()
1236 << " entries in " << hname << endl;
1237 alphaHisto[timeBin-1]->SetTitle(hname);
1238
1239 // Find signal region and significance in histogram
1240 Double_t lowerBin, upperBin, sSigLiMa;
1241 char funcName[20];
1242 sprintf(funcName, "%2d", timeBin);
1243
1244 Bool_t drawFit = kTRUE;
1245
1246 c4->cd(timeBin);
1247// alphaHisto[timeBin-1]->SetMarkerColor(3);
1248 alphaHisto[timeBin-1]->DrawCopy();
1249
1250 c4->Update();
1251
1252 fSigniPlotColor = 0;
1253 ;
1254 Bool_t fit = FitHistogram(*alphaHisto[timeBin-1], sSigLiMa,
1255 lowerBin, upperBin, (Float_t)3.0, drawFit,
1256 funcName);
1257
1258 if (fit) {
1259 if (sSigLiMa < 3)
1260 *fLog << warn << "No significant excess for this bin (sigma="<< sSigLiMa <<")!"<<endl;
1261 sumSigLiMa+=sSigLiMa;
1262
1263 // Evaluate integration range
1264 lowerBin = (lowerBin < -maxAlpha) ? -maxAlpha : lowerBin;
1265 minLowerBin = (lowerBin < minLowerBin) ? lowerBin : minLowerBin;
1266 upperBin = (upperBin > maxAlpha) ? maxAlpha : upperBin;
1267 maxUpperBin = (upperBin > maxUpperBin) ? upperBin : maxUpperBin;
1268 }
1269
1270
1271
1272
1273
1274
1275 } //timeBin
1276
1277 *fLog << inf << "=> Integration range will be " << minLowerBin << " < ALPHA < "
1278 << maxUpperBin << "," << endl;
1279 *fLog << inf << " Summed estimated significance is " << sumSigLiMa << endl;
1280
1281 // we have an idea of what is going on in the ALPHA plot...
1282 // So now we can indeed extract the signal.
1283
1284 sumSigLiMa = 0;
1285 for (Int_t timeBin = 1; timeBin < timeBins+1; timeBin++) {
1286 *fLog << inf << "Processing ALPHA distribution for time bin " << timeBin << endl;
1287 if (alphaHisto[timeBin-1]->GetEntries() == 0) {
1288 *fLog << warn << "No attempt to extract a signal from 0 events." << endl;
1289 if (draw) {
1290 TPaveLabel* lab = new TPaveLabel(0.2,0.4,0.8,0.6,"-(nothing to extract)-");
1291 lab->SetBorderSize(0);
1292 lab->Draw();
1293 }
1294 } else {
1295 char funcName[20];
1296 sprintf(funcName, "%2d", timeBin);
1297
1298 Double_t gammaSignal, errorGammaSignal, off, errorOff, sigLiMa;
1299
1300 Bool_t drawFit = kFALSE;
1301
1302 ExtractSignal(*alphaHisto[timeBin-1],
1303 sigLiMa, minLowerBin, maxUpperBin,
1304 gammaSignal, errorGammaSignal, off, errorOff, (Float_t)3, drawFit,
1305 funcName, NULL, 1);
1306
1307 sumSigLiMa += sigLiMa;
1308
1309 fMaxSignif = sigLiMa > fMaxSignif ? sigLiMa : fMaxSignif;
1310
1311 // Fill Signal
1312 TH1D &h = (TH1D&)(signalHisto->GetHist());
1313 h.SetBinContent(timeBin, gammaSignal);
1314 h.SetBinError(timeBin, errorGammaSignal);
1315 h.SetEntries(h.GetEntries()+gammaSignal);
1316
1317 // Fill Off Events
1318 TH1D &ho = (TH1D&)(offHisto->GetHist());
1319 ho.SetBinContent(timeBin, off);
1320 ho.SetBinError(timeBin, errorOff);
1321 ho.SetEntries(ho.GetEntries()+off);
1322
1323 // Fill Significance
1324 TH1D &hg = (TH1D&)(signifHisto->GetHist());
1325 hg.SetBinContent(timeBin, sigLiMa);
1326 hg.SetEntries(hg.GetEntries()+sigLiMa);
1327 }
1328
1329 }//timeBin
1330
1331 *fLog << inf << "Summed significance is " << sumSigLiMa << endl;
1332
1333
1334 if (draw) {
1335 Double_t sigLiMa, lowerBin, upperBin;
1336 FitHistogram(*fSummedAlphaPlots, sigLiMa, lowerBin, upperBin);
1337 fSummedAlphaPlots->SetTitle("Cumulative ALPHA distribution");
1338
1339 *fLog << inf << "Setting range for Significance histo " << fMaxSignif << endl;
1340 // fSignificanceHisto->GetXaxis()->SetRange(0,fMaxSignif+1);
1341
1342 // *fLog << inf << "Setting range for chisq histo " << fMaxRedChiSq << endl;
1343 // fChiSquareHisto->GetXaxis()->SetRange(0,fMaxRedChiSq+5);
1344
1345 fChiSquareHisto->DrawClone();
1346 fSignificanceHisto->DrawClone();
1347 fSummedAlphaPlots->DrawClone();
1348 }
1349
1350 return kTRUE;
1351}
1352
1353
1354
1355
1356
1357*/
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1433
1434// -----------------------------------------------------------------------
1435//
1436// Extraction of Gamma signal is performed on a TH2 histogram in
1437// ALPHA and Energy. Output to parameter list is TH1 histogram in
1438// energy
1439//
1440Bool_t MHOnSubtraction::TH2Calc(TH2 *aeHisto, MParList *parlist, const Bool_t draw, TPad *drawPad, Int_t drawBase)
1441{
1442
1443 fSigniPlotColor = 0;
1444
1445 // Analyze aeHisto
1446 // -------------------------------------
1447 const Int_t alphaBins = aeHisto->GetNbinsX(); // # of alpha bins
1448 const Int_t energyBins = aeHisto->GetNbinsY();
1449
1450 // Check availability of result histograms
1451 // -------------------------------------
1452
1453 MH3* signalHisto = (MH3*)parlist->FindObject("MHOnSubtractionSignal","MH3");
1454 MH3* offHisto = (MH3*)parlist->FindObject("MHOnSubtractionOff","MH3");
1455 MH3* signifHisto = (MH3*)parlist->FindObject("MHOnSubtractionSignif","MH3");
1456
1457 if (signalHisto && offHisto && signifHisto) {
1458// *fLog << dbg << "Result histograms are present in parameter list " <<
1459// "and will be used further." << endl;
1460 } else {
1461
1462 *fLog << warn << "Result histograms are not present in parameter " <<
1463 "list and thus are going to be created now." << endl;
1464
1465 MBinning *binsmh3x = new MBinning("BinningMH3X");
1466 binsmh3x->SetEdgesLog(energyBins,aeHisto->GetYaxis()->GetBinLowEdge(1),
1467 aeHisto->GetYaxis()->GetBinLowEdge(energyBins+1));
1468 parlist->AddToList(binsmh3x);
1469
1470 signalHisto = new MH3(1); // Signal(E)
1471 signalHisto->SetName("MHOnSubtractionSignal");
1472 signalHisto->SetTitle("Extracted Signal");
1473 parlist->AddToList(signalHisto);
1474 signalHisto->SetBinning(&((TH1D&)signalHisto->GetHist()),
1475 aeHisto->GetYaxis());
1476
1477 offHisto = new MH3(1); // Off(E)
1478 offHisto->SetName("MHOnSubtractionOff");
1479 offHisto->SetTitle("Off Signal");
1480 parlist->AddToList(offHisto);
1481 offHisto->SetBinning(&((TH1D&)offHisto->GetHist()),
1482 aeHisto->GetYaxis());
1483
1484 signifHisto = new MH3(1); // Significance(E)
1485 signifHisto->SetName("MHOnSubtractionSignif");
1486 signifHisto->SetTitle("Significance");
1487 parlist->AddToList(signifHisto);
1488 signifHisto->SetBinning(&((TH1D&)signifHisto->GetHist()),
1489 aeHisto->GetYaxis());
1490
1491 }
1492 if (fChiSquareHisto==0x0)
1493 fChiSquareHisto = new TH1D("fChiSquareHisto", "#chi^{2}/d.o.f. of fits", 50, 0, 5);
1494 if (fSignificanceHisto==0x0)
1495 fSignificanceHisto = new TH1D("fSignificanceHisto", "Significances", 41, -0.5, 40.5);
1496 if (fSummedAlphaPlots==0x0)
1497 fSummedAlphaPlots = new TH1D("fSummedAlphaPlots", "Cumulative Alpha",
1498 alphaBins,aeHisto->GetXaxis()->GetBinLowEdge(1),
1499 aeHisto->GetXaxis()->GetBinLowEdge(alphaBins+1));
1500
1501 // The following loop fixes a common integration region for each
1502 // energy bin and alerts when no significant excess is found.
1503
1504 Double_t minLowerBin = -10; // minimum integration range
1505 Double_t maxUpperBin = 10; // minimum integration range
1506 Double_t maxAlpha = 70; // maximum integration range
1507 Double_t sumSigLiMa = 0;
1508
1509 TH1F* alphaHisto[energyBins];
1510
1511 fSigniPlotIndex = 0; // cf. ExtractSignal
1512
1513 for (Int_t energyBin = 1; energyBin < energyBins+1; energyBin++) {
1514 *fLog << inf << "Preprocessing ALPHA distribution for E bin " << energyBin << endl;
1515 char hname[80];
1516 sprintf(hname, "MHOnSubtractionAlpha%d", energyBin);
1517 alphaHisto[energyBin-1] =
1518 new TH1F(hname, "ALPHA histogram",
1519 alphaBins,aeHisto->GetXaxis()->GetBinLowEdge(1),
1520 aeHisto->GetXaxis()->GetBinLowEdge(alphaBins+1));
1521 alphaHisto[energyBin-1]->SetDirectory(NULL);
1522 alphaHisto[energyBin-1]->Sumw2();
1523 alphaHisto[energyBin-1] = (TH1F*)aeHisto->ProjectionX("xe", energyBin, energyBin);
1524 alphaHisto[energyBin-1]->SetName(hname);
1525 alphaHisto[energyBin-1]->SetDirectory(NULL);
1526
1527 sprintf(hname, "%2.1f < E < %2.1f",
1528 aeHisto->GetYaxis()->GetBinLowEdge(energyBin),
1529 aeHisto->GetYaxis()->GetBinLowEdge(energyBin+1));
1530 alphaHisto[energyBin-1]->SetTitle(hname);
1531 // alphaHisto[energyBin-1]->DrawCopy();
1532 alphaHisto[energyBin-1]->SetDirectory(NULL);
1533
1534 // Find signal region and significance in histogram
1535 Double_t lowerBin, upperBin, sSigLiMa;
1536 char funcName[20];
1537 sprintf(funcName, "%2d", energyBin);
1538
1539 Bool_t drawFit = kFALSE;
1540
1541 if (drawPad) {
1542 drawPad->cd(drawBase+energyBin-1);
1543 drawFit = kTRUE;
1544 }
1545
1546 Bool_t fit = FitHistogram(*alphaHisto[energyBin-1], sSigLiMa,
1547 lowerBin, upperBin, (Float_t)3.0, drawFit,
1548 funcName);
1549
1550 if (fit) {
1551 Double_t redChiSq = alphaHisto[energyBin-1]->GetFunction("gauspol3"+(TString)funcName)->GetChisquare()/
1552 alphaHisto[energyBin-1]->GetFunction("gauspol3"+(TString)funcName)->GetNDF();
1553 fChiSquareHisto->Fill(redChiSq);
1554 fMaxRedChiSq = redChiSq > fMaxRedChiSq ? redChiSq : fMaxRedChiSq;
1555 fSummedAlphaPlots->Add(alphaHisto[energyBin-1], 1);
1556 if (sSigLiMa < 3)
1557 *fLog << warn << "No significant excess for this bin (sigma="<< sSigLiMa <<")!"<<endl;
1558 sumSigLiMa+=sSigLiMa;
1559
1560 // Evaluate integration range
1561 lowerBin = (lowerBin < -maxAlpha) ? -maxAlpha : lowerBin;
1562 minLowerBin = (lowerBin < minLowerBin) ? lowerBin : minLowerBin;
1563 upperBin = (upperBin > maxAlpha) ? maxAlpha : upperBin;
1564 maxUpperBin = (upperBin > maxUpperBin) ? upperBin : maxUpperBin;
1565 } else {
1566 fChiSquareHisto->Fill(0);
1567 }
1568
1569// debugOut->Update();
1570
1571 } //energyBin
1572
1573 *fLog << inf << "=> Integration range for this theta bin will be " << minLowerBin << " < ALPHA < "
1574 << maxUpperBin << "," << endl;
1575 *fLog << inf << " Summed estimated significance is " << sumSigLiMa << endl;
1576
1577 // we have an idea of what is going on in the ALPHA plot...
1578 // So now we can indeed extract the signal.
1579
1580 sumSigLiMa = 0;
1581 for (Int_t energyBin = 1; energyBin < energyBins+1; energyBin++) {
1582 *fLog << inf << "Processing ALPHA distribution for E bin " << energyBin << endl;
1583 if (alphaHisto[energyBin-1]->GetEntries() == 0) {
1584 *fLog << warn << "No attempt to extract a signal from 0 events." << endl;
1585 if (draw) {
1586 TPaveLabel* lab = new TPaveLabel(0.2,0.4,0.8,0.6,"-(nothing to extract)-");
1587 lab->SetBorderSize(0);
1588 lab->Draw();
1589 }
1590 } else {
1591 char funcName[20];
1592 sprintf(funcName, "%2d", energyBin);
1593
1594 Double_t gammaSignal, errorGammaSignal, off, errorOff, sigLiMa;
1595
1596 Bool_t drawFit = kFALSE;
1597
1598// if (drawPad) {
1599// cout << "Going to use pad " <<drawBase+energyBin-1 << endl;
1600// drawPad->cd(drawBase+energyBin-1);
1601// drawFit = kTRUE;
1602// }
1603
1604
1605 ExtractSignal(*alphaHisto[energyBin-1],
1606 sigLiMa, minLowerBin, maxUpperBin,
1607 gammaSignal, errorGammaSignal, off, errorOff, (Float_t)3, drawFit,
1608 funcName, drawPad, drawBase);
1609
1610 sumSigLiMa += sigLiMa;
1611 fSignificanceHisto->Fill(sigLiMa);
1612 fMaxSignif = sigLiMa > fMaxSignif ? sigLiMa : fMaxSignif;
1613
1614 // Fill Signal
1615 TH1D &h = (TH1D&)(signalHisto->GetHist());
1616 h.SetBinContent(energyBin, gammaSignal);
1617 h.SetBinError(energyBin, errorGammaSignal);
1618 h.SetEntries(h.GetEntries()+gammaSignal);
1619
1620 // Fill Off Events
1621 TH1D &ho = (TH1D&)(offHisto->GetHist());
1622 ho.SetBinContent(energyBin, off);
1623 ho.SetBinError(energyBin, errorOff);
1624 ho.SetEntries(ho.GetEntries()+off);
1625
1626 // Fill Significance
1627 TH1D &hg = (TH1D&)(signifHisto->GetHist());
1628 hg.SetBinContent(energyBin, sigLiMa);
1629 hg.SetEntries(hg.GetEntries()+sigLiMa);
1630 }
1631
1632 }//energyBin
1633
1634 *fLog << inf << "Summed significance is " << sumSigLiMa << endl;
1635
1636
1637 if (draw) {
1638 Double_t sigLiMa, lowerBin, upperBin;
1639 FitHistogram(*fSummedAlphaPlots, sigLiMa, lowerBin, upperBin);
1640 fSummedAlphaPlots->SetTitle("Cumulative ALPHA distribution");
1641
1642 *fLog << inf << "Setting range for Significance histo " << fMaxSignif << endl;
1643 // fSignificanceHisto->GetXaxis()->SetRange(0,fMaxSignif+1);
1644
1645 // *fLog << inf << "Setting range for chisq histo " << fMaxRedChiSq << endl;
1646 // fChiSquareHisto->GetXaxis()->SetRange(0,fMaxRedChiSq+5);
1647
1648 fChiSquareHisto->DrawClone();
1649 fSignificanceHisto->DrawClone();
1650 fSummedAlphaPlots->DrawClone();
1651 }
1652
1653 return kTRUE;
1654}
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671// -----------------------------------------------------------------------
1672//
1673// Extraction of Gamma signal is performed on a TH1 histogram in ALPHA
1674//
1675//
1676Bool_t MHOnSubtraction::Calc(TH1 *aHisto, MParList *parlist,
1677 const Bool_t draw, Float_t signalRegion)
1678{
1679 // Find signal region and estimate significance
1680 Double_t lowerBin, upperBin, sigLiMa;
1681 FitHistogram(*aHisto, sigLiMa, lowerBin, upperBin, (Float_t)3.5, kFALSE);
1682
1683 //if (sigLiMa < 3)
1684 // *fLog << err << "No significant excess (sigma=" << sigLiMa <<")!"<<endl;
1685
1686 if (signalRegion!=0) {
1687 lowerBin = -signalRegion;
1688 upperBin = signalRegion;
1689 }
1690
1691 Double_t gammaSignal, errorGammaSignal, off, errorOff;
1692
1693 ExtractSignal(*aHisto, sigLiMa, lowerBin, upperBin,
1694 gammaSignal, errorGammaSignal, off, errorOff,
1695 (Float_t)3.0, draw);
1696
1697 fSignificance = sigLiMa;
1698
1699 *fLog << inf << "Signal is "
1700 << gammaSignal << "+-" << errorGammaSignal << endl
1701 << inf << "Significance is " << sigLiMa << endl;
1702
1703 return kTRUE;
1704}
1705
1706// -------------------------------------------------------------------------
1707//
1708// Draw a copy of the histogram
1709//
1710TObject *MHOnSubtraction::DrawClone(Option_t *opt) const
1711{
1712 TCanvas &c = *MakeDefCanvas("OnSubtraction", "Results from OnSubtraction");
1713 c.Divide(2,2);
1714
1715 gROOT->SetSelectedPad(NULL);
1716 gStyle->SetOptStat(0);
1717
1718 c.cd(1);
1719 fSummedAlphaPlots->DrawCopy(opt);
1720
1721 c.cd(2);
1722 fSignificanceHisto->DrawCopy(opt);
1723
1724 c.cd(3);
1725 TString drawopt="";
1726 for (fThetaHistoArray->SetIndex(0);
1727 MH3* h=(MH3*)(fThetaHistoArray->GetH());
1728 fThetaHistoArray->IncIndex())
1729 {
1730 // Get the current histogram
1731 TH1D& hist = (TH1D&)h->GetHist();
1732 fSummedAlphaPlots->SetTitle("Energy distributions for different theta bins");
1733 hist.Draw(drawopt);
1734 drawopt="SAME";
1735 }
1736 fThetaLegend->Draw();
1737
1738 c.cd(4);
1739 fChiSquareHisto->DrawCopy(opt);
1740
1741 c.Modified();
1742 c.Update();
1743
1744 return &c;
1745}
1746
1747// -------------------------------------------------------------------------
1748//
1749// Draw the histogram
1750//
1751void MHOnSubtraction::Draw(Option_t *opt)
1752{
1753 if (!gPad)
1754 MakeDefCanvas("OnSubtraction", "Results from OnSubtraction");
1755
1756 gPad->Divide(2,3);
1757
1758// Ok, at some point this will be implemented
1759
1760 gPad->Modified();
1761 gPad->Update();
1762}
1763
1764
1765
1766
1767
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