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Last change on this file since 5059 was 5012, checked in by tbretz, 20 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 express
14	! * or implied warranty.
15	! *
16	!
17	!
18	! Author(s): Thomas Bretz, 3/2004 <mailto:tbretz@astro.uni-wuerzburg.de>
19	!
20	! Copyright: MAGIC Software Development, 2000-2004
21	!
22	!
23	\* ======================================================================== */
24
25	//////////////////////////////////////////////////////////////////////////////
26	//
27	// MHFalseSource
28	//
29	// Create a false source plot. For the Binning in x,y the object MBinning
30	// "BinningFalseSource" is taken from the paremeter list.
31	//
32	// The binning in alpha is currently fixed as 18bins from 0 to 90deg.
33	//
34	// If MTime, MObservatory and MPointingPos is available in the paremeter
35	// list each image is derotated.
36	//
37	// MHFalseSource fills a 3D histogram with alpha distribution for
38	// each (derotated) x and y position.
39	//
40	// Only a radius of 1.2deg around the camera center is taken into account.
41	//
42	// The displayed histogram is the projection of alpha<fAlphaCut into
43	// the x,y plain and the projection of alpha>90-fAlphaCut
44	//
45	// By using the context menu (find it in a small region between the single
46	// pads) you can change the AlphaCut 'online'
47	//
48	// Each Z-Projection (Alpha-histogram) is scaled such, that the number
49	// of entries fits the maximum number of entries in all Z-Projections.
50	// This should correct for the different acceptance in the center
51	// and at the vorder of the camera. This, however, produces more noise
52	// at the border.
53	//
54	// Here is a slightly simplified version of the algorithm:
55	// ------------------------------------------------------
56	// MHillas hil; // Taken as second argument in MFillH
57	//
58	// MSrcPosCam src;
59	// MHillasSrc hsrc;
60	// hsrc.SetSrcPos(&src);
61	//
62	// for (int ix=0; ix<nx; ix++)
63	// for (int iy=0; iy<ny; iy++)
64	// {
65	// TVector2 v(cx[ix], cy[iy]); //cx center of x-bin ix
66	// if (rho!=0) //cy center of y-bin iy
67	// v=v.Rotate(rho); //image rotation angle
68	//
69	// src.SetXY(v); //source position in the camera
70	//
71	// if (!hsrc.Calc(hil)) //calc source dependant hillas
72	// return;
73	//
74	// //fill absolute alpha into histogram
75	// const Double_t alpha = hsrc.GetAlpha();
76	// fHist.Fill(cx[ix], cy[iy], TMath::Abs(alpha), w);
77	// }
78	// }
79	//
80	// Use MHFalse Source like this:
81	// -----------------------------
82	// MFillH fill("MHFalseSource", "MHillas");
83	// or
84	// MHFalseSource hist;
85	// hist.SetAlphaCut(12.5); // The default value
86	// hist.SetBgmean(55); // The default value
87	// MFillH fill(&hist, "MHillas");
88	//
89	// To be implemented:
90	// ------------------
91	// - a switch to use alpha or \|alpha\|
92	// - taking the binning for alpha from the parlist (binning is
93	// currently fixed)
94	// - a possibility to change the fit-function (eg using a different TF1)
95	// - a possibility to change the fit algorithm (eg which paremeters
96	// are fixed at which time)
97	// - use a different varaible than alpha
98	// - a possiblity to change the algorithm which is used to calculate
99	// alpha (or another parameter) is missing (this could be done using
100	// a tasklist somewhere...)
101	// - a more clever (and faster) algorithm to fill the histogram, eg by
102	// calculating alpha once and fill the two coils around the mean
103	// - more drawing options...
104	// - Move Significance() to a more 'general' place and implement
105	// also different algorithms like (Li/Ma)
106	// - implement fit for best alpha distribution -- online (Paint)
107	// - currently a constant pointing position is assumed in Fill()
108	// - the center of rotation need not to be the camera center
109	// - ERRORS on each alpha bin to estimate the chi^2 correctly!
110	// (sqrt(N)/binwidth) needed for WOlfgangs proposed caluclation
111	// of alpha(Li/Ma)
112	//
113	//////////////////////////////////////////////////////////////////////////////
114	#include "MHFalseSource.h"
115
116	#include <TF1.h>
117	#include <TH2.h>
118	#include <TGraph.h>
119	#include <TStyle.h>
120	#include <TCanvas.h>
121	#include <TPaveText.h>
122	#include <TStopwatch.h>
123
124	#include "MGeomCam.h"
125	#include "MSrcPosCam.h"
126	#include "MHillasSrc.h"
127	#include "MTime.h"
128	#include "MObservatory.h"
129	#include "MPointingPos.h"
130	#include "MAstroCatalog.h"
131	#include "MAstroSky2Local.h"
132	#include "MStatusDisplay.h"
133
134	#include "MMath.h"
135	#include "MAlphaFitter.h"
136
137	#include "MBinning.h"
138	#include "MParList.h"
139
140	#include "MLog.h"
141	#include "MLogManip.h"
142
143	ClassImp(MHFalseSource);
144
145	using namespace std;
146
147	// --------------------------------------------------------------------------
148	//
149	// Default Constructor
150	//
151	MHFalseSource::MHFalseSource(const char name, const char title)
152	: fTime(0), fPointPos(0), fObservatory(0), fMm2Deg(-1), fAlphaCut(12.5),
153	fBgMean(55), fMinDist(-1), fMaxDist(-1), fMinLD(-1), fMaxLD(-1)
154	{
155	//
156	// set the name and title of this object
157	//
158	fName = name ? name : "MHFalseSource";
159	fTitle = title ? title : "3D-plot of Alpha vs x, y";
160
161	fHist.SetDirectory(NULL);
162
163	fHist.SetName("Alpha");
164	fHist.SetTitle("3D-plot of Alpha vs x, y");
165	fHist.SetXTitle("x [\\circ]");
166	fHist.SetYTitle("y [\\circ]");
167	fHist.SetZTitle("\\alpha [\\circ]");
168	}
169
170	void MHFalseSource::MakeSymmetric(TH1 *h)
171	{
172	const Float_t min = TMath::Abs(h->GetMinimum());
173	const Float_t max = TMath::Abs(h->GetMaximum());
174
175	const Float_t absmax = TMath::Max(min, max)*1.002;
176
177	h->SetMaximum( absmax);
178	h->SetMinimum(-absmax);
179	}
180
181	// --------------------------------------------------------------------------
182	//
183	// Set the alpha cut (\|alpha\|<fAlphaCut) which is use to estimate the
184	// number of excess events
185	//
186	void MHFalseSource::SetAlphaCut(Float_t alpha)
187	{
188	if (alpha<0)
189	*fLog << warn << "Alpha<0... taking absolute value." << endl;
190
191	fAlphaCut = TMath::Abs(alpha);
192
193	Modified();
194	}
195
196	// --------------------------------------------------------------------------
197	//
198	// Set mean alpha around which the off sample is determined
199	// (fBgMean-fAlphaCut/2<\|fAlpha\|<fBgMean+fAlphaCut/2) which is use
200	// to estimate the number of off events
201	//
202	void MHFalseSource::SetBgMean(Float_t alpha)
203	{
204	if (alpha<0)
205	*fLog << warn << "Alpha<0... taking absolute value." << endl;
206
207	fBgMean = TMath::Abs(alpha);
208
209	Modified();
210	}
211
212	// --------------------------------------------------------------------------
213	//
214	// Calculate Significance as
215	// significance = (s-b)/sqrt(s+kkb) mit k=s/b
216	//
217	// s: total number of events in signal region
218	// b: number of background events in signal region
219	//
220	Double_t MHFalseSource::Significance(Double_t s, Double_t b)
221	{
222	return MMath::SignificanceSym(s, b);
223	}
224
225	// --------------------------------------------------------------------------
226	//
227	// calculates the significance according to Li & Ma
228	// ApJ 272 (1983) 317, Formula 17
229	//
230	// s // s: number of on events
231	// b // b: number of off events
232	// alpha = t_on/t_off; // t: observation time
233	//
234	Double_t MHFalseSource::SignificanceLiMa(Double_t s, Double_t b, Double_t alpha)
235	{
236	return MMath::SignificanceLiMaSigned(s, b);
237	}
238
239	// --------------------------------------------------------------------------
240	//
241	// Set binnings (takes BinningFalseSource) and prepare filling of the
242	// histogram.
243	//
244	// Also search for MTime, MObservatory and MPointingPos
245	//
246	Bool_t MHFalseSource::SetupFill(const MParList *plist)
247	{
248	const MGeomCam geom = (MGeomCam)plist->FindObject("MGeomCam");
249	if (!geom)
250	{
251	*fLog << err << "MGeomCam not found... aborting." << endl;
252	return kFALSE;
253	}
254
255	fMm2Deg = geom->GetConvMm2Deg();
256
257	MBinning binsa;
258	binsa.SetEdges(18, 0, 90);
259
260	const MBinning bins = (MBinning)plist->FindObject("BinningFalseSource");
261	if (!bins)
262	{
263	const Float_t r = (geom ? geom->GetMaxRadius()/3 : 200)*fMm2Deg;
264
265	MBinning b;
266	b.SetEdges(20, -r, r);
267	SetBinning(&fHist, &b, &b, &binsa);
268	}
269	else
270	SetBinning(&fHist, bins, bins, &binsa);
271
272	fPointPos = (MPointingPos*)plist->FindObject(AddSerialNumber("MPointingPos"));
273	if (!fPointPos)
274	*fLog << warn << "MPointingPos not found... no derotation." << endl;
275
276	fTime = (MTime*)plist->FindObject(AddSerialNumber("MTime"));
277	if (!fTime)
278	*fLog << warn << "MTime not found... no derotation." << endl;
279
280	fSrcPos = (MSrcPosCam*)plist->FindObject(AddSerialNumber("MSrcPosCam"));
281	if (!fSrcPos)
282	*fLog << warn << "MSrcPosCam not found... no translation." << endl;
283
284	fObservatory = (MObservatory*)plist->FindObject(AddSerialNumber("MObservatory"));
285	if (!fObservatory)
286	*fLog << warn << "MObservatory not found... no derotation." << endl;
287
288	// FIXME: Because the pointing position could change we must check
289	// for the current pointing position and add a offset in the
290	// Fill function!
291	fRa = fPointPos->GetRa();
292	fDec = fPointPos->GetDec();
293
294	return kTRUE;
295	}
296
297	// --------------------------------------------------------------------------
298	//
299	// Fill the histogram. For details see the code or the class description
300	//
301	Bool_t MHFalseSource::Fill(const MParContainer *par, const Stat_t w)
302	{
303	const MHillas hil = dynamic_cast<const MHillas>(par);
304	if (!hil)
305	{
306	*fLog << err << "MHFalseSource::Fill: No container specified!" << endl;
307	return kFALSE;
308	}
309
310	// Get max radius...
311	const Double_t maxr = 0.98*TMath::Abs(fHist.GetBinCenter(1));
312
313	// Get camera rotation angle
314	Double_t rho = 0;
315	if (fTime && fObservatory && fPointPos)
316	rho = fPointPos->RotationAngle(fObservatory, fTime);
317	//if (fPointPos)
318	// rho = fPointPos->RotationAngle(*fObservatory);
319
320	// Create necessary containers for calculation
321	MSrcPosCam src;
322	MHillasSrc hsrc;
323	hsrc.SetSrcPos(&src);
324
325	// Get number of bins and bin-centers
326	const Int_t nx = fHist.GetNbinsX();
327	const Int_t ny = fHist.GetNbinsY();
328	Axis_t cx[nx];
329	Axis_t cy[ny];
330	fHist.GetXaxis()->GetCenter(cx);
331	fHist.GetYaxis()->GetCenter(cy);
332
333	for (int ix=0; ix<nx; ix++)
334	{
335	for (int iy=0; iy<ny; iy++)
336	{
337	// check distance... to get a circle plot
338	if (TMath::Hypot(cx[ix], cy[iy])>maxr)
339	continue;
340
341	// rotate center of bin
342	// precalculation of sin/cos doesn't accelerate
343	TVector2 v(cx[ix], cy[iy]);
344	if (rho!=0)
345	v=v.Rotate(rho);
346
347	// convert degrees to millimeters
348	v *= 1./fMm2Deg;
349
350	if (fSrcPos)
351	v += fSrcPos->GetXY();
352
353	src.SetXY(v);
354
355	// Source dependant hillas parameters
356	if (hsrc.Calc(*hil)>0)
357	{
358	*fLog << warn << "Calculation of MHillasSrc failed for x=" << cx[ix] << " y=" << cy[iy] << endl;
359	return kFALSE;
360	}
361
362	// FIXME: This should be replaced by an external MFilter
363	// and/or MTaskList
364	// Source dependant distance cut
365	if (fMinDist>0 && hsrc.GetDist()*fMm2Deg<fMinDist)
366	continue;
367	if (fMaxDist>0 && hsrc.GetDist()*fMm2Deg>fMaxDist)
368	continue;
369
370	if (fMaxLD>0 && hil->GetLength()>fMaxLD*hsrc.GetDist())
371	continue;
372	if (fMinLD>0 && hil->GetLength()<fMinLD*hsrc.GetDist())
373	continue;
374
375	// Fill histogram
376	const Double_t alpha = hsrc.GetAlpha();
377	fHist.Fill(cx[ix], cy[iy], TMath::Abs(alpha), w);
378	}
379	}
380
381	return kTRUE;
382	}
383
384	// --------------------------------------------------------------------------
385	//
386	// Create projection for off data, taking sum of bin contents of
387	// range (fBgMean-fAlphaCut/2, fBgMean+fAlphaCut) Making sure to take
388	// the same number of bins than for on-data
389	//
390	void MHFalseSource::ProjectOff(TH2D h2, TH2D all)
391	{
392	TAxis &axe = *fHist.GetZaxis();
393
394	// Find range to cut (left edge and width)
395	const Int_t f = axe.FindBin(fBgMean-fAlphaCut/2);
396	const Int_t l = axe.FindBin(fAlphaCut)+f-1;
397
398	axe.SetRange(f, l);
399	const Float_t cut1 = axe.GetBinLowEdge(f);
400	const Float_t cut2 = axe.GetBinUpEdge(l);
401	h2->SetTitle(Form("Distribution of %.1f\\circ<\|\\alpha\|<%.1f\\circ in x,y", cut1, cut2));
402
403	// Get projection for range
404	TH2D p = (TH2D)fHist.Project3D("yx_off");
405
406	// Reset range
407	axe.SetRange(0,9999);
408
409	// Move contents from projection to h2
410	h2->Reset();
411	h2->Add(p, all->GetMaximum());
412	h2->Divide(all);
413
414	// Delete p
415	delete p;
416
417	// Set Minimum as minimum value Greater Than 0
418	h2->SetMinimum(GetMinimumGT(*h2));
419	}
420
421	// --------------------------------------------------------------------------
422	//
423	// Create projection for on data, taking sum of bin contents of
424	// range (0, fAlphaCut)
425	//
426	void MHFalseSource::ProjectOn(TH2D h3, TH2D all)
427	{
428	TAxis &axe = *fHist.GetZaxis();
429
430	// Find range to cut
431	axe.SetRangeUser(0, fAlphaCut);
432	const Float_t cut = axe.GetBinUpEdge(axe.GetLast());
433	h3->SetTitle(Form("Distribution of \|\\alpha\|<%.1f\\circ in x,y", cut));
434
435	// Get projection for range
436	TH2D p = (TH2D)fHist.Project3D("yx_on");
437
438	// Reset range
439	axe.SetRange(0,9999);
440
441	// Move contents from projection to h3
442	h3->Reset();
443	h3->Add(p, all->GetMaximum());
444	h3->Divide(all);
445
446	// Delete p
447	delete p;
448
449	// Set Minimum as minimum value Greater Than 0
450	h3->SetMinimum(GetMinimumGT(*h3));
451	}
452
453	// --------------------------------------------------------------------------
454	//
455	// Create projection for all data, taking sum of bin contents of
456	// range (0, 90) - corresponding to the number of entries in this slice.
457	//
458	void MHFalseSource::ProjectAll(TH2D *h3)
459	{
460	h3->SetTitle("Number of entries");
461
462	// Get projection for range
463	TH2D p = (TH2D)fHist.Project3D("yx_all");
464
465	// Move contents from projection to h3
466	h3->Reset();
467	h3->Add(p);
468	delete p;
469
470	// Set Minimum as minimum value Greater Than 0
471	h3->SetMinimum(GetMinimumGT(*h3));
472	}
473
474	// --------------------------------------------------------------------------
475	//
476	// Update the projections and paint them
477	//
478	void MHFalseSource::Paint(Option_t *opt)
479	{
480	// Set pretty color palette
481	gStyle->SetPalette(1, 0);
482
483	TVirtualPad *padsave = gPad;
484
485	TH1D* h1;
486	TH2D* h0;
487	TH2D* h2;
488	TH2D* h3;
489	TH2D* h4;
490	TH2D* h5;
491
492	/*
493	fHistProjAll = Form("All_%p", this);
494	fHistProjOn = Form("On_%p", this);
495	fHistProjOff = Form("Off_%p", this);
496	fHistProjDiff = Form("Diff_%p", this);
497	fHistProjAll = Form("All_%p", this);
498	*/
499
500	// Update projection of all-events
501	padsave->GetPad(2)->cd(3);
502	if ((h0 = (TH2D*)gPad->FindObject("Alpha_yx_all")))
503	ProjectAll(h0);
504
505	// Update projection of on-events
506	padsave->GetPad(1)->cd(1);
507	if ((h3 = (TH2D*)gPad->FindObject("Alpha_yx_on")))
508	ProjectOn(h3, h0);
509
510	// Update projection of off-events
511	padsave->GetPad(1)->cd(3);
512	if ((h2 = (TH2D*)gPad->FindObject("Alpha_yx_off")))
513	ProjectOff(h2, h0);
514
515	padsave->GetPad(2)->cd(2);
516	if ((h5 = (TH2D*)gPad->FindObject("Alpha_yx_diff")))
517	{
518	h5->Add(h2, h3, -1);
519	MakeSymmetric(h5);
520	}
521
522	// Update projection of significance
523	padsave->GetPad(1)->cd(2);
524	if (h2 && h3 && (h4 = (TH2D*)gPad->FindObject("Alpha_yx_sig")))
525	{
526	const Int_t nx = h4->GetXaxis()->GetNbins();
527	const Int_t ny = h4->GetYaxis()->GetNbins();
528	//const Int_t nr = nxnx + nyny;
529
530	Int_t maxx=nx/2;
531	Int_t maxy=ny/2;
532
533	Int_t max = h4->GetBin(nx, ny);
534
535	for (int ix=1; ix<=nx; ix++)
536	for (int iy=1; iy<=ny; iy++)
537	{
538	const Int_t n = h4->GetBin(ix, iy);
539
540	const Double_t s = h3->GetBinContent(n);
541	const Double_t b = h2->GetBinContent(n);
542
543	const Double_t sig = SignificanceLiMa(s, b);
544
545	h4->SetBinContent(n, sig);
546
547	if (sig>h4->GetBinContent(max) && sig>0/* && (ix-nx/2)(ix-nx/2)+(iy-ny/2)(iy-ny/2)<nrnr/9/)
548	{
549	max = n;
550	maxx=ix;
551	maxy=iy;
552	}
553	}
554
555	MakeSymmetric(h4);
556
557	// Update projection of 'the best alpha-plot'
558	padsave->GetPad(2)->cd(1);
559	if ((h1 = (TH1D*)gPad->FindObject("Alpha_z")) && max>0)
560	{
561	const Double_t x = h4->GetXaxis()->GetBinCenter(maxx);
562	const Double_t y = h4->GetYaxis()->GetBinCenter(maxy);
563	const Double_t s = h4->GetBinContent(max);
564
565	// This is because a 3D histogram x and y are vice versa
566	// Than for their projections
567	TH1 *h = fHist.ProjectionZ("Alpha_z", maxx, maxx, maxy, maxy);
568	h->SetTitle(Form("Distribution of \\alpha for x=%.2f y=%.2f (\\sigma_{max}=%.1f)", x, y, s));
569	}
570	}
571
572	gPad = padsave;
573	}
574
575	// --------------------------------------------------------------------------
576	//
577	// Get the MAstroCatalog corresponding to fRa, fDec. The limiting magnitude
578	// is set to 9, while the fov is equal to the current fov of the false
579	// source plot.
580	//
581	TObject *MHFalseSource::GetCatalog()
582	{
583	const Double_t maxr = 0.98*TMath::Abs(fHist.GetBinCenter(1));
584
585	// Create catalog...
586	MAstroCatalog *stars = new MAstroCatalog;
587	stars->SetLimMag(9);
588	stars->SetGuiActive(kFALSE);
589	stars->SetRadiusFOV(maxr);
590	stars->SetRaDec(fRaTMath::DegToRad()15, fDec*TMath::DegToRad());
591	stars->ReadBSC("bsc5.dat");
592
593	*fLog << err << "FIXME - The catalog will never be deleted, because this crashes!" << endl;
594
595	// stars->SetBit(kCanDelete);
596
597	return stars;
598	}
599
600	// --------------------------------------------------------------------------
601	//
602	// Draw the histogram
603	//
604	void MHFalseSource::Draw(Option_t *opt)
605	{
606	TVirtualPad *pad = gPad ? gPad : MakeDefCanvas(this);
607	pad->SetBorderMode(0);
608
609	AppendPad("");
610
611	pad->Divide(1, 2, 0, 0.03);
612
613	*fLog << err << "FIXME - Plotting the catalog is broken!" << endl;
614
615	TObject *catalog = GetCatalog();
616
617	// Initialize upper part
618	pad->cd(1);
619	gPad->SetBorderMode(0);
620	gPad->Divide(3, 1);
621
622	// PAD #1
623	pad->GetPad(1)->cd(1);
624	gPad->SetBorderMode(0);
625	fHist.GetZaxis()->SetRangeUser(0,fAlphaCut);
626	TH1 *h3 = fHist.Project3D("yx_on");
627	fHist.GetZaxis()->SetRange(0,9999);
628	h3->SetDirectory(NULL);
629	h3->SetXTitle(fHist.GetXaxis()->GetTitle());
630	h3->SetYTitle(fHist.GetYaxis()->GetTitle());
631	h3->Draw("colz");
632	h3->SetBit(kCanDelete);
633	catalog->Draw("mirror same *");
634
635	// PAD #2
636	pad->GetPad(1)->cd(2);
637	gPad->SetBorderMode(0);
638	fHist.GetZaxis()->SetRange(0,0);
639	TH1 *h4 = fHist.Project3D("yx_sig"); // Do this to get the correct binning....
640	fHist.GetZaxis()->SetRange(0,9999);
641	h4->SetTitle("Significance");
642	h4->SetDirectory(NULL);
643	h4->SetXTitle(fHist.GetXaxis()->GetTitle());
644	h4->SetYTitle(fHist.GetYaxis()->GetTitle());
645	h4->Draw("colz");
646	h4->SetBit(kCanDelete);
647	catalog->Draw("mirror same *");
648
649	// PAD #3
650	pad->GetPad(1)->cd(3);
651	gPad->SetBorderMode(0);
652	fHist.GetZaxis()->SetRangeUser(fBgMean-fAlphaCut/2, fBgMean+fAlphaCut/2);
653	TH1 *h2 = fHist.Project3D("yx_off");
654	h2->SetDirectory(NULL);
655	h2->SetXTitle(fHist.GetXaxis()->GetTitle());
656	h2->SetYTitle(fHist.GetYaxis()->GetTitle());
657	h2->Draw("colz");
658	h2->SetBit(kCanDelete);
659	catalog->Draw("mirror same *");
660
661	// Initialize lower part
662	pad->cd(2);
663	gPad->SetBorderMode(0);
664	gPad->Divide(3, 1);
665
666	// PAD #4
667	pad->GetPad(2)->cd(1);
668	gPad->SetBorderMode(0);
669	TH1 *h1 = fHist.ProjectionZ("Alpha_z");
670	h1->SetDirectory(NULL);
671	h1->SetTitle("Distribution of \\alpha");
672	h1->SetXTitle(fHist.GetZaxis()->GetTitle());
673	h1->SetYTitle("Counts");
674	h1->Draw(opt);
675	h1->SetBit(kCanDelete);
676
677	// PAD #5
678	pad->GetPad(2)->cd(2);
679	gPad->SetBorderMode(0);
680	TH1 h5 = (TH1)h3->Clone("Alpha_yx_diff");
681	h5->Add(h2, -1);
682	h5->SetTitle("Difference of on- and off-distribution");
683	h5->SetDirectory(NULL);
684	h5->Draw("colz");
685	h5->SetBit(kCanDelete);
686	catalog->Draw("mirror same *");
687
688	// PAD #6
689	pad->GetPad(2)->cd(3);
690	gPad->SetBorderMode(0);
691	TH1 *h0 = fHist.Project3D("yx_all");
692	h0->SetDirectory(NULL);
693	h0->SetXTitle(fHist.GetXaxis()->GetTitle());
694	h0->SetYTitle(fHist.GetYaxis()->GetTitle());
695	h0->Draw("colz");
696	h0->SetBit(kCanDelete);
697	catalog->Draw("mirror same *");
698	}
699
700	// --------------------------------------------------------------------------
701	//
702	// Everything which is in the main pad belongs to this class!
703	//
704	Int_t MHFalseSource::DistancetoPrimitive(Int_t px, Int_t py)
705	{
706	return 0;
707	}
708
709	// --------------------------------------------------------------------------
710	//
711	// Set all sub-pads to Modified()
712	//
713	void MHFalseSource::Modified()
714	{
715	if (!gPad)
716	return;
717
718	TVirtualPad *padsave = gPad;
719	padsave->Modified();
720	padsave->GetPad(1)->cd(1);
721	gPad->Modified();
722	padsave->GetPad(1)->cd(3);
723	gPad->Modified();
724	padsave->GetPad(2)->cd(1);
725	gPad->Modified();
726	padsave->GetPad(2)->cd(2);
727	gPad->Modified();
728	padsave->GetPad(2)->cd(3);
729	gPad->Modified();
730	gPad->cd();
731	}
732
733	// --------------------------------------------------------------------------
734	//
735	// This is a preliminary implementation of a alpha-fit procedure for
736	// all possible source positions. It will be moved into its own
737	// more powerfull class soon.
738	//
739	// The fit function is "gaus(0)+pol2(3)" which is equivalent to:
740	// [0]exp(-0.5((x-[1])/[2])^2) + [3] + [4]x + [5]x^2
741	// or
742	// Aexp(-0.5((x-mu)/sigma)^2) + a + bx + cx^2
743	//
744	// Parameter [1] is fixed to 0 while the alpha peak should be
745	// symmetric around alpha=0.
746	//
747	// Parameter [4] is fixed to 0 because the first derivative at
748	// alpha=0 should be 0, too.
749	//
750	// In a first step the background is fitted between bgmin and bgmax,
751	// while the parameters [0]=0 and [2]=1 are fixed.
752	//
753	// In a second step the signal region (alpha<sigmax) is fittet using
754	// the whole function with parameters [1], [3], [4] and [5] fixed.
755	//
756	// The number of excess and background events are calculated as
757	// s = int(0, sigint, gaus(0)+pol2(3))
758	// b = int(0, sigint, pol2(3))
759	//
760	// The Significance is calculated using the Significance() member
761	// function.
762	//
763	void MHFalseSource::FitSignificance(Float_t sigint, Float_t sigmax, Float_t bgmin, Float_t bgmax, Byte_t polynom)
764	{
765	TObject *catalog = GetCatalog();
766
767	TH1D h0a("A", "", 50, 0, 4000);
768	TH1D h4a("chisq1", "", 50, 0, 35);
769	//TH1D h5a("prob1", "", 50, 0, 1.1);
770	TH1D h6("signifcance", "", 50, -20, 20);
771
772	TH1D h1("mu", "Parameter \\mu", 50, -1, 1);
773	TH1D h2("sigma", "Parameter \\sigma", 50, 0, 90);
774	TH1D h3("b", "Parameter b", 50, -0.1, 0.1);
775
776	TH1D h0b("a", "Parameter a (red), A (blue)", 50, 0, 4000);
777	TH1D h4b("\\chi^{2}", "\\chi^{2} (red, green) / significance (black)", 50, 0, 35);
778	//TH1D h5b("prob", "Fit probability: Bg(red), F(blue)", 50, 0, 1.1);
779
780	h0a.SetLineColor(kBlue);
781	h4a.SetLineColor(kBlue);
782	//h5a.SetLineColor(kBlue);
783	h0b.SetLineColor(kRed);
784	h4b.SetLineColor(kRed);
785	//h5b.SetLineColor(kRed);
786
787	TH1 *hist = fHist.Project3D("yx_fit");
788	hist->SetDirectory(0);
789	TH1 *hists = fHist.Project3D("yx_fit");
790	hists->SetDirectory(0);
791	TH1 *histb = fHist.Project3D("yx_fit");
792	histb->SetDirectory(0);
793	hist->Reset();
794	hists->Reset();
795	histb->Reset();
796	hist->SetNameTitle("Significance",
797	Form("Fit Region: Signal<%.1f\\circ, %.1f\\circ<Bg<%.1f\\circ",
798	sigmax, bgmin, bgmax));
799	hists->SetName("Excess");
800	histb->SetName("Background");
801	hist->SetXTitle(fHist.GetXaxis()->GetTitle());
802	hists->SetXTitle(fHist.GetXaxis()->GetTitle());
803	histb->SetXTitle(fHist.GetXaxis()->GetTitle());
804	hist->SetYTitle(fHist.GetYaxis()->GetTitle());
805	hists->SetYTitle(fHist.GetYaxis()->GetTitle());
806	histb->SetYTitle(fHist.GetYaxis()->GetTitle());
807
808	const Double_t w = fHist.GetZaxis()->GetBinWidth(1);
809
810	TArrayD maxpar;
811
812	/* func.SetParName(0, "A");
813	* func.SetParName(1, "mu");
814	* func.SetParName(2, "sigma");
815	*/
816
817	const Int_t nx = hist->GetXaxis()->GetNbins();
818	const Int_t ny = hist->GetYaxis()->GetNbins();
819	//const Int_t nr = nxnx+nyny;
820
821	Double_t maxalpha0=0;
822	Double_t maxs=3;
823
824	Int_t maxx=0;
825	Int_t maxy=0;
826
827	TStopwatch clk;
828	clk.Start();
829
830	*fLog << inf;
831	*fLog << "Signal fit: alpha < " << sigmax << endl;
832	*fLog << "Integration: alpha < " << sigint << endl;
833	*fLog << "Background fit: " << bgmin << " < alpha < " << bgmax << endl;
834	*fLog << "Polynom order: " << (int)polynom << endl;
835	*fLog << "Fitting False Source Plot..." << flush;
836
837	TH1 *h0 = fHist.Project3D("yx_entries");
838	Float_t entries = h0->GetMaximum();
839	delete h0;
840
841	MAlphaFitter fit;
842	fit.SetSignalIntegralMax(sigint);
843	fit.SetSignalFitMax(sigmax);
844	fit.SetBackgroundFitMin(bgmin);
845	fit.SetBackgroundFitMax(bgmax);
846	fit.SetPolynomOrder(polynom);
847
848	TH1D *h=0;
849	for (int ix=1; ix<=nx; ix++)
850	for (int iy=1; iy<=ny; iy++)
851	{
852	// This is because a 3D histogram x and y are vice versa
853	// Than for their projections
854	h = fHist.ProjectionZ("AlphaFit", ix, ix, iy, iy);
855
856	if (h->GetEntries()==0)
857	continue;
858
859
860	h->Scale(entries/h->GetEntries());
861
862	if (!fit.Fit(*h))
863	continue;
864
865	const Double_t alpha0 = h->GetBinContent(1);
866	if (alpha0>maxalpha0)
867	maxalpha0=alpha0;
868
869	// Fill results into some histograms
870	h0a.Fill(fit.GetGausA()); // gaus-A
871	h0b.Fill(fit.GetCoefficient(3)); // 3
872	h1.Fill(fit.GetGausMu()); // mu
873	h2.Fill(fit.GetGausSigma()); // sigma-gaus
874	if (polynom>1)
875	h3.Fill(fit.GetCoefficient(5));
876	h4b.Fill(fit.GetChiSqSignal());
877
878	const Double_t sig = fit.GetSignificance();
879	const Double_t b = fit.GetEventsBackground();
880	const Double_t s = fit.GetEventsSignal();
881
882	const Int_t n = hist->GetBin(ix, iy);
883	hists->SetBinContent(n, s-b);
884	histb->SetBinContent(n, b);
885
886	hist->SetBinContent(n, sig);
887	if (sig!=0)
888	h6.Fill(sig);
889
890	if (sig>maxs)
891	{
892	maxs = sig;
893	maxx = ix;
894	maxy = iy;
895	maxpar = fit.GetCoefficients();
896	}
897	}
898
899	h0a.GetXaxis()->SetRangeUser(0, maxalpha0*1.5);
900	h0b.GetXaxis()->SetRangeUser(0, maxalpha0*1.5);
901
902	hists->SetTitle(Form("Excess events for \\alpha<%.0f\\circ (N_{max}=%d)", sigint, (int)hists->GetMaximum()));
903	histb->SetTitle(Form("Background events for \\alpha<%.0f\\circ", sigint));
904
905	//hists->SetMinimum(GetMinimumGT(*hists));
906	histb->SetMinimum(GetMinimumGT(*histb));
907
908	MakeSymmetric(hists);
909	MakeSymmetric(hist);
910
911	clk.Stop();
912	clk.Print("m");
913
914	TCanvas *c=new TCanvas;
915
916	gStyle->SetPalette(1, 0);
917
918	c->Divide(3,2, 0, 0);
919	c->cd(1);
920	gPad->SetBorderMode(0);
921	hists->Draw("colz");
922	hists->SetBit(kCanDelete);
923	catalog->Draw("mirror same *");
924	c->cd(2);
925	gPad->SetBorderMode(0);
926	hist->Draw("colz");
927	hist->SetBit(kCanDelete);
928	catalog->Draw("mirror same *");
929	c->cd(3);
930	gPad->SetBorderMode(0);
931	histb->Draw("colz");
932	histb->SetBit(kCanDelete);
933	catalog->Draw("mirror same *");
934	c->cd(4);
935	gPad->Divide(1,3, 0, 0);
936	TVirtualPad *p=gPad;
937	p->SetBorderMode(0);
938	p->cd(1);
939	gPad->SetBorderMode(0);
940	h0b.DrawCopy();
941	h0a.DrawCopy("same");
942	p->cd(2);
943	gPad->SetBorderMode(0);
944	h3.DrawCopy();
945	p->cd(3);
946	gPad->SetBorderMode(0);
947	h2.DrawCopy();
948	c->cd(6);
949	gPad->Divide(1,2, 0, 0);
950	TVirtualPad *q=gPad;
951	q->SetBorderMode(0);
952	q->cd(1);
953	gPad->SetBorderMode(0);
954	gPad->SetBorderMode(0);
955	h4b.DrawCopy();
956	h4a.DrawCopy("same");
957	h6.DrawCopy("same");
958	q->cd(2);
959	gPad->SetBorderMode(0);
960	//h5b.DrawCopy();
961	//h5a.DrawCopy("same");
962	c->cd(5);
963	gPad->SetBorderMode(0);
964	if (maxx>0 && maxy>0)
965	{
966	const char *title = Form(" \\alpha for x=%.2f y=%.2f (\\sigma_{max}=%.1f) ",
967	hist->GetXaxis()->GetBinCenter(maxx),
968	hist->GetYaxis()->GetBinCenter(maxy), maxs);
969
970	TH1 *result = fHist.ProjectionZ("AlphaFit", maxx, maxx, maxy, maxy);
971	result->Scale(entries/h->GetEntries());
972
973	result->SetDirectory(NULL);
974	result->SetNameTitle("Result \\alpha", title);
975	result->SetBit(kCanDelete);
976	result->SetXTitle("\\alpha [\\circ]");
977	result->SetYTitle("Counts");
978	result->Draw();
979
980	TF1 f1("f1", Form("gaus(0) + pol%d(3)", polynom), 0, 90);
981	TF1 f2("f2", Form("gaus(0) + pol%d(3)", polynom), 0, 90);
982	f1.SetParameters(maxpar.GetArray());
983	f2.SetParameters(maxpar.GetArray());
984	f2.FixParameter(0, 0);
985	f2.FixParameter(1, 0);
986	f2.FixParameter(2, 1);
987	f1.SetLineColor(kGreen);
988	f2.SetLineColor(kRed);
989
990	f2.DrawCopy("same");
991	f1.DrawCopy("same");
992
993	TPaveText *leg = new TPaveText(0.35, 0.10, 0.90, 0.35, "brNDC");
994	leg->SetBorderSize(1);
995	leg->SetTextSize(0.04);
996	leg->AddText(0.5, 0.82, Form("A * exp(-(\\frac{x-\\mu}{\\sigma})^{2}/2) + pol%d", polynom))->SetTextAlign(22);
997	//leg->AddText(0.5, 0.82, "A * exp(-(\\frac{x-\\mu}{\\sigma})^{2}/2) + b*x^{2} + a")->SetTextAlign(22);
998	leg->AddLine(0, 0.65, 0, 0.65);
999	leg->AddText(0.06, 0.54, Form("A=%.2f", maxpar[0]))->SetTextAlign(11);
1000	leg->AddText(0.06, 0.34, Form("\\sigma=%.2f", maxpar[2]))->SetTextAlign(11);
1001	leg->AddText(0.06, 0.14, Form("\\mu=%.2f (fix)", maxpar[1]))->SetTextAlign(11);
1002	leg->AddText(0.60, 0.54, Form("a=%.2f", maxpar[3]))->SetTextAlign(11);
1003	leg->AddText(0.60, 0.34, Form("b=%.2f (fix)", maxpar[4]))->SetTextAlign(11);
1004	if (polynom>1)
1005	leg->AddText(0.60, 0.14, Form("c=%.2f", maxpar[5]))->SetTextAlign(11);
1006	leg->SetBit(kCanDelete);
1007	leg->Draw();
1008
1009	q->cd(2);
1010
1011	TGraph *g = new TGraph;
1012	g->SetPoint(0, 0, 0);
1013
1014	Int_t max=0;
1015	Float_t maxsig=0;
1016	for (int i=1; i<89; i++)
1017	{
1018	const Double_t s = f1.Integral(0, (float)i)/w;
1019	const Double_t b = f2.Integral(0, (float)i)/w;
1020
1021	const Double_t sig = SignificanceLiMa(s, b);
1022
1023	g->SetPoint(g->GetN(), i, sig);
1024
1025	if (sig>maxsig)
1026	{
1027	max = i;
1028	maxsig = sig;
1029	}
1030	}
1031
1032	g->SetNameTitle("SigVs\\alpha", "Significance vs \\alpha");
1033	g->GetHistogram()->SetXTitle("\\alpha_{0} [\\circ]");
1034	g->GetHistogram()->SetYTitle("Significance");
1035	g->SetBit(kCanDelete);
1036	g->Draw("AP");
1037
1038	leg = new TPaveText(0.35, 0.10, 0.90, 0.25, "brNDC");
1039	leg->SetBorderSize(1);
1040	leg->SetTextSize(0.1);
1041	leg->AddText(Form("\\sigma_{max}=%.1f at \\alpha_{max}=%d\\circ", maxsig, max));
1042	leg->SetBit(kCanDelete);
1043	leg->Draw();
1044	}
1045	}

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