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Last change on this file was 7287, checked in by tbretz, 19 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	// - use the g/h-separation filters from the tasklists ("Cut1") as filters
113	// two
114	//
115	//////////////////////////////////////////////////////////////////////////////
116	#include "MHFalseSource.h"
117
118	#include <TF1.h>
119	#include <TF2.h>
120	#include <TH2.h>
121	#include <TGraph.h>
122	#include <TStyle.h>
123	#include <TCanvas.h>
124	#include <TRandom.h>
125	#include <TPaveText.h>
126	#include <TStopwatch.h>
127
128	#include "MGeomCam.h"
129	#include "MSrcPosCam.h"
130	#include "MHillasSrc.h"
131	#include "MTime.h"
132	#include "MObservatory.h"
133	#include "MPointingPos.h"
134	#include "MAstroCatalog.h"
135	#include "MAstroSky2Local.h"
136	#include "MStatusDisplay.h"
137
138	#include "MMath.h"
139	#include "MAlphaFitter.h"
140
141	#include "MBinning.h"
142	#include "MParList.h"
143
144	#include "MLog.h"
145	#include "MLogManip.h"
146
147	ClassImp(MHFalseSource);
148
149	using namespace std;
150
151	//class MHillasExt;
152
153	// --------------------------------------------------------------------------
154	//
155	// Default Constructor
156	//
157	MHFalseSource::MHFalseSource(const char name, const char title)
158	: fTime(0), fPointPos(0), fObservatory(0), fMm2Deg(-1), fAlphaCut(12.5),
159	fBgMean(55), fMinDist(-1), fMaxDist(-1), fMinDW(-1), fMaxDW(-1),
160	fHistOff(0)
161	{
162	//
163	// set the name and title of this object
164	//
165	fName = name ? name : "MHFalseSource";
166	fTitle = title ? title : "3D-plot of Alpha vs x, y";
167
168	fHist.SetDirectory(NULL);
169
170	fHist.SetName("Alpha");
171	fHist.SetTitle("3D-plot of Alpha vs x, y");
172	fHist.SetXTitle("x [\\circ]");
173	fHist.SetYTitle("y [\\circ]");
174	fHist.SetZTitle("\\alpha [\\circ]");
175	}
176
177	void MHFalseSource::MakeSymmetric(TH1 *h)
178	{
179	h->SetMinimum();
180	h->SetMaximum();
181
182	const Float_t min = TMath::Abs(h->GetMinimum());
183	const Float_t max = TMath::Abs(h->GetMaximum());
184
185	const Float_t absmax = TMath::Max(min, max)*1.002;
186
187	h->SetMaximum( absmax);
188	h->SetMinimum(-absmax);
189	}
190
191	// --------------------------------------------------------------------------
192	//
193	// Set the alpha cut (\|alpha\|<fAlphaCut) which is use to estimate the
194	// number of excess events
195	//
196	void MHFalseSource::SetAlphaCut(Float_t alpha)
197	{
198	if (alpha<0)
199	*fLog << warn << "Alpha<0... taking absolute value." << endl;
200
201	fAlphaCut = TMath::Abs(alpha);
202
203	Modified();
204	}
205
206	// --------------------------------------------------------------------------
207	//
208	// Set mean alpha around which the off sample is determined
209	// (fBgMean-fAlphaCut/2<\|fAlpha\|<fBgMean+fAlphaCut/2) which is use
210	// to estimate the number of off events
211	//
212	void MHFalseSource::SetBgMean(Float_t alpha)
213	{
214	if (alpha<0)
215	*fLog << warn << "Alpha<0... taking absolute value." << endl;
216
217	fBgMean = TMath::Abs(alpha);
218
219	Modified();
220	}
221
222	// --------------------------------------------------------------------------
223	//
224	// Set binnings (takes BinningFalseSource) and prepare filling of the
225	// histogram.
226	//
227	// Also search for MTime, MObservatory and MPointingPos
228	//
229	Bool_t MHFalseSource::SetupFill(const MParList *plist)
230	{
231	const MGeomCam geom = (MGeomCam)plist->FindObject("MGeomCam");
232	if (!geom)
233	{
234	*fLog << err << "MGeomCam not found... aborting." << endl;
235	return kFALSE;
236	}
237	fMm2Deg = geom->GetConvMm2Deg();
238
239	const TString off(Form("%sOff", fName.Data()));
240	if (fName!=off && fHistOff==NULL)
241	{
242	const TString desc(Form("%s [%s] found... using ", off.Data(), ClassName()));
243	MHFalseSource hoff = (MHFalseSource)plist->FindObject(off, ClassName());
244	if (!hoff)
245	*fLog << inf << "No " << desc << "current data only!" << endl;
246	else
247	{
248	*fLog << inf << desc << "on-off mode!" << endl;
249	SetOffData(*hoff);
250	}
251	}
252
253	if (fHistOff)
254	MH::SetBinning(&fHist, fHistOff);
255	else
256	{
257	MBinning binsa(18, 0, 90);
258	binsa.SetEdges(*plist, "BinningAlpha");
259
260	const MBinning bins = (MBinning)plist->FindObject("BinningFalseSource");
261	if (!bins \|\| bins->IsDefault())
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
273	fPointPos = (MPointingPos*)plist->FindObject(AddSerialNumber("MPointingPos"));
274	if (!fPointPos)
275	*fLog << warn << "MPointingPos not found... no derotation." << endl;
276
277	fTime = (MTime*)plist->FindObject(AddSerialNumber("MTime"));
278	if (!fTime)
279	*fLog << warn << "MTime not found... no derotation." << endl;
280
281	fSrcPos = (MSrcPosCam*)plist->FindObject(AddSerialNumber("MSrcPosCam"));
282	if (!fSrcPos)
283	*fLog << warn << "MSrcPosCam not found... no translation." << endl;
284
285	fObservatory = (MObservatory*)plist->FindObject(AddSerialNumber("MObservatory"));
286	if (!fObservatory)
287	*fLog << warn << "MObservatory not found... no derotation." << endl;
288
289	MPointingPos point = (MPointingPos)plist->FindObject("MSourcePos", "MPointingPos");
290	if (!point)
291	point = fPointPos;
292
293	// FIXME: Because the pointing position could change we must check
294	// for the current pointing position and add a offset in the
295	// Fill function!
296	fRa = point ? point->GetRa() : 0;
297	fDec = point ? point->GetDec() : 90;
298
299	return kTRUE;
300	}
301
302	// --------------------------------------------------------------------------
303	//
304	// Fill the histogram. For details see the code or the class description
305	//
306	Bool_t MHFalseSource::Fill(const MParContainer *par, const Stat_t w)
307	{
308	const MHillas hil = dynamic_cast<const MHillas>(par);
309	if (!hil)
310	{
311	*fLog << err << "MHFalseSource::Fill: No container specified!" << endl;
312	return kFALSE;
313	}
314
315	// Get max radius...
316	const Double_t maxr = 0.98*TMath::Abs(fHist.GetBinCenter(1));
317
318	// Get camera rotation angle
319	Double_t rho = 0;
320	if (fTime && fObservatory && fPointPos)
321	rho = fPointPos->RotationAngle(fObservatory, fTime);
322	//if (fPointPos)
323	// rho = fPointPos->RotationAngle(*fObservatory);
324
325	// Create necessary containers for calculation
326	MSrcPosCam src;
327	MHillasSrc hsrc;
328	hsrc.SetSrcPos(&src);
329
330	// Get number of bins and bin-centers
331	const Int_t nx = fHist.GetNbinsX();
332	const Int_t ny = fHist.GetNbinsY();
333	Axis_t cx[nx];
334	Axis_t cy[ny];
335	fHist.GetXaxis()->GetCenter(cx);
336	fHist.GetYaxis()->GetCenter(cy);
337
338	for (int ix=0; ix<nx; ix++)
339	{
340	for (int iy=0; iy<ny; iy++)
341	{
342	// check distance... to get a circle plot
343	if (TMath::Hypot(cx[ix], cy[iy])>maxr)
344	continue;
345
346	// rotate center of bin
347	// precalculation of sin/cos doesn't accelerate
348	TVector2 v(cx[ix], cy[iy]);
349	if (rho!=0)
350	v=v.Rotate(rho);
351
352	// convert degrees to millimeters
353	v *= 1./fMm2Deg;
354
355	if (fSrcPos)
356	v += fSrcPos->GetXY();
357
358	src.SetXY(v);
359
360	// Source dependant hillas parameters
361	if (hsrc.Calc(hil/, ext*/)>0)
362	{
363	*fLog << warn << "Calculation of MHillasSrc failed for x=" << cx[ix] << " y=" << cy[iy] << endl;
364	return kFALSE;
365	}
366
367	// FIXME: This should be replaced by an external MFilter
368	// and/or MTaskList
369	// Source dependant distance cut
370	if (fMinDist>0 && hsrc.GetDist()*fMm2Deg<fMinDist)
371	continue;
372	if (fMaxDist>0 && hsrc.GetDist()*fMm2Deg>fMaxDist)
373	continue;
374
375	if (fMaxDW>0 && hsrc.GetDist()>fMaxDW*hil->GetWidth())
376	continue;
377	if (fMinDW<0 && hsrc.GetDist()<fMinDW*hil->GetWidth())
378	continue;
379
380	// Fill histogram
381	const Double_t alpha = hsrc.GetAlpha();
382	fHist.Fill(cx[ix], cy[iy], TMath::Abs(alpha), w);
383	}
384	}
385
386	return kTRUE;
387	}
388
389	// --------------------------------------------------------------------------
390	//
391	// Create projection for off data, taking sum of bin contents of
392	// range (fBgMean-fAlphaCut/2, fBgMean+fAlphaCut) Making sure to take
393	// the same number of bins than for on-data
394	//
395	void MHFalseSource::ProjectOff(const TH3D &src, TH2D h2, TH2D all)
396	{
397	TAxis &axe = *src.GetZaxis();
398
399	// Find range to cut (left edge and width)
400	const Int_t f = axe.FindBin(fBgMean-fAlphaCut/2);
401	const Int_t l = axe.FindBin(fAlphaCut)+f-1;
402
403	axe.SetRange(f, l);
404	const Float_t cut1 = axe.GetBinLowEdge(f);
405	const Float_t cut2 = axe.GetBinUpEdge(l);
406	h2->SetTitle(Form("Distribution of %.1f\\circ<\|\\alpha\|<%.1f\\circ in x,y", cut1, cut2));
407
408	// Get projection for range
409	TH2D p = (TH2D)src.Project3D("yx_off_NULL");
410
411	// Reset range
412	axe.SetRange(0,9999);
413
414	//#if ROOT_VERSION_CODE < ROOT_VERSION(4,02,00)
415	// Move contents from projection to h2
416	h2->Reset();
417	h2->Add(p, all->GetMaximum());
418	h2->Divide(all);
419
420	// Delete p
421	delete p;
422	/*#else
423	p->Scale(all->GetMaximum());
424	p->Divide(all);
425	#endif*/
426
427	// Set Minimum as minimum value Greater Than 0
428	h2->SetMinimum(GetMinimumGT(*h2));
429	}
430
431	// --------------------------------------------------------------------------
432	//
433	// Create projection for on data, taking sum of bin contents of
434	// range (0, fAlphaCut)
435	//
436	void MHFalseSource::ProjectOn(const TH3D &src, TH2D h3, TH2D all)
437	{
438	TAxis &axe = *src.GetZaxis();
439
440	// Find range to cut
441	axe.SetRangeUser(0, fAlphaCut);
442	const Float_t cut = axe.GetBinUpEdge(axe.GetLast());
443	h3->SetTitle(Form("Distribution of \|\\alpha\|<%.1f\\circ in x,y", cut));
444
445	// Get projection for range
446	TH2D p = (TH2D)src.Project3D("yx_on_NULL");
447
448	// Reset range
449	axe.SetRange(0,9999);
450
451	//#if ROOT_VERSION_CODE < ROOT_VERSION(4,02,00)
452	// Move contents from projection to h3
453	h3->Reset();
454	h3->Add(p, all->GetMaximum());
455	h3->Divide(all);
456
457	// Delete p
458	delete p;
459	/*#else
460	p->Scale(all->GetMaximum());
461	p->Divide(all);
462	#endif*/
463
464	// Set Minimum as minimum value Greater Than 0
465	h3->SetMinimum(GetMinimumGT(*h3));
466	}
467
468	// --------------------------------------------------------------------------
469	//
470	// Create projection for all data, taking sum of bin contents of
471	// range (0, 90) - corresponding to the number of entries in this slice.
472	//
473	void MHFalseSource::ProjectAll(TH2D *h3)
474	{
475	h3->SetTitle("Number of entries");
476
477	// Get projection for range
478	#if ROOT_VERSION_CODE < ROOT_VERSION(4,02,00)
479	TH2D p = (TH2D)fHist.Project3D("yx_all");
480
481	// Move contents from projection to h3
482	h3->Reset();
483	h3->Add(p);
484	delete p;
485	#else
486	fHist.Project3D("yx_all");
487	#endif
488
489	// Set Minimum as minimum value Greater Than 0
490	h3->SetMinimum(GetMinimumGT(*h3));
491	}
492
493	void MHFalseSource::ProjectOnOff(TH2D h2, TH2D h0)
494	{
495	ProjectOn(*fHistOff, h2, h0);
496
497	TH2D h;
498	MH::SetBinning(&h, h2);
499
500	// Divide by number of entries in off region (of off-data)
501	ProjectOff(*fHistOff, &h, h0);
502	h2->Divide(&h);
503
504	// Multiply by number of entries in off region (of on-data)
505	ProjectOff(fHist, &h, h0);
506	h2->Multiply(&h);
507
508	// Recalculate Minimum
509	h2->SetMinimum(GetMinimumGT(*h2));
510	}
511
512	// --------------------------------------------------------------------------
513	//
514	// Update the projections and paint them
515	//
516	void MHFalseSource::Paint(Option_t *opt)
517	{
518	// Set pretty color palette
519	gStyle->SetPalette(1, 0);
520
521	TVirtualPad *padsave = gPad;
522
523	TH1D* h1;
524	TH2D* h0;
525	TH2D* h2;
526	TH2D* h3;
527	TH2D* h4;
528	TH2D* h5;
529
530	// Update projection of all-events
531	padsave->GetPad(2)->cd(3);
532	if ((h0 = (TH2D*)gPad->FindObject("Alpha_yx_all")))
533	ProjectAll(h0);
534
535	// Update projection of on-events
536	padsave->GetPad(1)->cd(1);
537	if ((h3 = (TH2D*)gPad->FindObject("Alpha_yx_on")))
538	ProjectOn(fHist, h3, h0);
539
540	// Update projection of off-events
541	padsave->GetPad(1)->cd(3);
542	if ((h2 = (TH2D*)gPad->FindObject("Alpha_yx_off")))
543	{
544	if (!fHistOff)
545	ProjectOff(fHist, h2, h0);
546	else
547	ProjectOnOff(h2, h0);
548	}
549
550	padsave->GetPad(2)->cd(2);
551	if ((h5 = (TH2D*)gPad->FindObject("Alpha_yx_diff")))
552	{
553	h5->Add(h2, h3, -1);
554	MakeSymmetric(h5);
555	}
556
557	// Update projection of significance
558	padsave->GetPad(1)->cd(2);
559	if (h2 && h3 && (h4 = (TH2D*)gPad->FindObject("Alpha_yx_sig")))
560	{
561	const Int_t nx = h4->GetXaxis()->GetNbins();
562	const Int_t ny = h4->GetYaxis()->GetNbins();
563
564	Int_t maxx=nx/2;
565	Int_t maxy=ny/2;
566
567	Int_t max = h4->GetBin(nx, ny);
568
569	h4->SetEntries(0);
570	for (int ix=1; ix<=nx; ix++)
571	for (int iy=1; iy<=ny; iy++)
572	{
573	const Int_t n = h4->GetBin(ix, iy);
574
575	const Double_t s = h3->GetBinContent(n);
576	const Double_t b = h2->GetBinContent(n);
577
578	const Double_t sig = MMath::SignificanceLiMaSigned(s, b);
579
580	h4->SetBinContent(n, sig);
581
582	if (sig>h4->GetBinContent(max) && sig>0/* && (ix-nx/2)(ix-nx/2)+(iy-ny/2)(iy-ny/2)<nrnr/9/)
583	{
584	max = n;
585	maxx=ix;
586	maxy=iy;
587	}
588	}
589
590	MakeSymmetric(h4);
591
592	// Update projection of 'the best alpha-plot'
593	padsave->GetPad(2)->cd(1);
594	if ((h1 = (TH1D*)gPad->FindObject("Alpha_z")) && max>0)
595	{
596	const Double_t x = h4->GetXaxis()->GetBinCenter(maxx);
597	const Double_t y = h4->GetYaxis()->GetBinCenter(maxy);
598	const Double_t s = h4->GetBinContent(max);
599
600	// This is because a 3D histogram x and y are vice versa
601	// Than for their projections
602	TH1 *h = fHist.ProjectionZ("Alpha_z", maxx, maxx, maxy, maxy);
603	h->SetTitle(Form("Distribution of \\alpha for x=%.2f y=%.2f (S_{max}=%.1f\\sigma)", x, y, s));
604
605	TH1D *h0=0;
606	if ((h0 = (TH1D*)gPad->FindObject("AlphaOff_z")))
607	{
608	fHistOff->ProjectionZ("AlphaOff_z", maxx, maxx, maxy, maxy);
609
610	/* ============= local scaling ================ */
611	const Int_t f = h0->GetXaxis()->FindFixBin(fBgMean-1.5*fAlphaCut);
612	const Int_t l = h0->GetXaxis()->FindFixBin(fAlphaCut*3)+f-1;
613	h0->Scale(h1->Integral(f, l)/h0->Integral(f, l));
614
615
616	//h0->Scale(h1->GetEntries()/h0->GetEntries());
617
618	/* ============= global scaling ================
619	const Int_t f = fHistOff->GetZaxis()->FindFixBin(fBgMean-1.5*fAlphaCut);
620	const Int_t l = fHistOff->GetZaxis()->FindFixBin(fAlphaCut*3)+f-1;
621
622	Double_t c0 = fHist.Integral(0, 9999, 0, 9999, f, l);
623	Double_t c1 = fHistOff->Integral(0, 9999, 0, 9999, f, l);
624
625	h0->Scale(c0/c1);
626	*/
627	}
628	}
629	}
630
631	gPad = padsave;
632	}
633
634	// --------------------------------------------------------------------------
635	//
636	// Get the MAstroCatalog corresponding to fRa, fDec. The limiting magnitude
637	// is set to 9, while the fov is equal to the current fov of the false
638	// source plot.
639	//
640	TObject *MHFalseSource::GetCatalog()
641	{
642	const Double_t maxr = 0.98*TMath::Abs(fHist.GetBinCenter(1));
643
644	// Create catalog...
645	MAstroCatalog *stars = new MAstroCatalog;
646	stars->SetMarkerColor(kWhite);
647	stars->SetLimMag(9);
648	stars->SetGuiActive(kFALSE);
649	stars->SetRadiusFOV(maxr);
650	stars->SetRaDec(fRaTMath::DegToRad()15, fDec*TMath::DegToRad());
651	stars->ReadBSC("bsc5.dat");
652
653	stars->SetBit(kCanDelete);
654	return stars;
655	}
656
657	// --------------------------------------------------------------------------
658	//
659	// Draw the histogram
660	//
661	void MHFalseSource::Draw(Option_t *opt)
662	{
663	TVirtualPad *pad = gPad ? gPad : MakeDefCanvas(this);
664	pad->SetBorderMode(0);
665
666	AppendPad("");
667
668	pad->Divide(1, 2, 1e-10, 0.03);
669
670	// TObject *catalog = GetCatalog();
671
672	// Initialize upper part
673	pad->cd(1);
674	// Make sure that the catalog is deleted only once
675	// Normally this is not done by root, because it is not necessary...
676	// but in this case it is necessary, because the catalog is
677	// deleted by the first pad and the second one tries to do the same!
678	// gROOT->GetListOfCleanups()->Add(gPad);
679	gPad->SetBorderMode(0);
680	gPad->Divide(3, 1);
681
682	// PAD #1
683	pad->GetPad(1)->cd(1);
684	gPad->SetBorderMode(0);
685	fHist.GetZaxis()->SetRangeUser(0,fAlphaCut);
686	TH1 *h3 = fHist.Project3D("yx_on");
687	fHist.GetZaxis()->SetRange(0,9999);
688	h3->SetDirectory(NULL);
689	h3->SetXTitle(fHist.GetXaxis()->GetTitle());
690	h3->SetYTitle(fHist.GetYaxis()->GetTitle());
691	h3->Draw("colz");
692	h3->SetBit(kCanDelete);
693	// catalog->Draw("mirror same *");
694
695	// PAD #2
696	pad->GetPad(1)->cd(2);
697	gPad->SetBorderMode(0);
698	fHist.GetZaxis()->SetRange(0,0);
699	TH1 *h4 = fHist.Project3D("yx_sig"); // Do this to get the correct binning....
700	fHist.GetZaxis()->SetRange(0,9999);
701	h4->SetTitle("Significance");
702	h4->SetDirectory(NULL);
703	h4->SetXTitle(fHist.GetXaxis()->GetTitle());
704	h4->SetYTitle(fHist.GetYaxis()->GetTitle());
705	h4->Draw("colz");
706	h4->SetBit(kCanDelete);
707	// catalog->Draw("mirror same *");
708
709	// PAD #3
710	pad->GetPad(1)->cd(3);
711	gPad->SetBorderMode(0);
712	TH1 *h2 = 0;
713	if (fHistOff)
714	{
715	fHistOff->GetZaxis()->SetRangeUser(0,fAlphaCut);
716	h2 = fHistOff->Project3D("yx_off");
717	fHistOff->GetZaxis()->SetRange(0,9999);
718	}
719	else
720	{
721	fHist.GetZaxis()->SetRangeUser(fBgMean-fAlphaCut/2, fBgMean+fAlphaCut/2);
722	h2 = fHist.Project3D("yx_off");
723	fHist.GetZaxis()->SetRange(0,9999);
724	}
725	h2->SetDirectory(NULL);
726	h2->SetXTitle(fHist.GetXaxis()->GetTitle());
727	h2->SetYTitle(fHist.GetYaxis()->GetTitle());
728	h2->Draw("colz");
729	h2->SetBit(kCanDelete);
730	// catalog->Draw("mirror same *");
731
732	// Initialize lower part
733	pad->cd(2);
734	// Make sure that the catalog is deleted only once
735	// gROOT->GetListOfCleanups()->Add(gPad);
736	gPad->SetBorderMode(0);
737	gPad->Divide(3, 1);
738
739	// PAD #4
740	pad->GetPad(2)->cd(1);
741	gPad->SetBorderMode(0);
742	TH1 *h1 = fHist.ProjectionZ("Alpha_z");
743	h1->SetDirectory(NULL);
744	h1->SetTitle("Distribution of \\alpha");
745	h1->SetXTitle(fHist.GetZaxis()->GetTitle());
746	h1->SetYTitle("Counts");
747	h1->Draw();
748	h1->SetBit(kCanDelete);
749	if (fHistOff)
750	{
751	h1->SetLineColor(kGreen);
752
753	h1 = fHistOff->ProjectionZ("AlphaOff_z");
754	h1->SetDirectory(NULL);
755	h1->SetTitle("Distribution of \\alpha");
756	h1->SetXTitle(fHistOff->GetZaxis()->GetTitle());
757	h1->SetYTitle("Counts");
758	h1->Draw("same");
759	h1->SetBit(kCanDelete);
760	h1->SetLineColor(kRed);
761	}
762
763	// PAD #5
764	pad->GetPad(2)->cd(2);
765	gPad->SetBorderMode(0);
766	TH1 h5 = (TH1)h3->Clone("Alpha_yx_diff");
767	h5->Add(h2, -1);
768	h5->SetTitle("Difference of on- and off-distribution");
769	h5->SetDirectory(NULL);
770	h5->Draw("colz");
771	h5->SetBit(kCanDelete);
772	// catalog->Draw("mirror same *");
773
774	// PAD #6
775	pad->GetPad(2)->cd(3);
776	gPad->SetBorderMode(0);
777	TH1 *h0 = fHist.Project3D("yx_all");
778	h0->SetDirectory(NULL);
779	h0->SetXTitle(fHist.GetXaxis()->GetTitle());
780	h0->SetYTitle(fHist.GetYaxis()->GetTitle());
781	h0->Draw("colz");
782	h0->SetBit(kCanDelete);
783	// catalog->Draw("mirror same *");
784	}
785
786	// --------------------------------------------------------------------------
787	//
788	// Everything which is in the main pad belongs to this class!
789	//
790	Int_t MHFalseSource::DistancetoPrimitive(Int_t px, Int_t py)
791	{
792	return 0;
793	}
794
795	// --------------------------------------------------------------------------
796	//
797	// Set all sub-pads to Modified()
798	//
799	void MHFalseSource::Modified()
800	{
801	if (!gPad)
802	return;
803
804	TVirtualPad *padsave = gPad;
805	padsave->Modified();
806	padsave->GetPad(1)->cd(1);
807	gPad->Modified();
808	padsave->GetPad(1)->cd(3);
809	gPad->Modified();
810	padsave->GetPad(2)->cd(1);
811	gPad->Modified();
812	padsave->GetPad(2)->cd(2);
813	gPad->Modified();
814	padsave->GetPad(2)->cd(3);
815	gPad->Modified();
816	gPad->cd();
817	}
818
819	// --------------------------------------------------------------------------
820	//
821	// The following resources are available:
822	//
823	// MHFalseSource.DistMin: 0.5
824	// MHFalseSource.DistMax: 1.4
825	// MHFalseSource.DWMin: 0.1
826	// MHFalseSource.DWMax: 0.3
827	//
828	Int_t MHFalseSource::ReadEnv(const TEnv &env, TString prefix, Bool_t print)
829	{
830	Bool_t rc = kFALSE;
831	if (IsEnvDefined(env, prefix, "DistMin", print))
832	{
833	rc = kTRUE;
834	SetMinDist(GetEnvValue(env, prefix, "DistMin", fMinDist));
835	}
836	if (IsEnvDefined(env, prefix, "DistMax", print))
837	{
838	rc = kTRUE;
839	SetMaxDist(GetEnvValue(env, prefix, "DistMax", fMaxDist));
840	}
841
842	if (IsEnvDefined(env, prefix, "DWMin", print))
843	{
844	rc = kTRUE;
845	SetMinDW(GetEnvValue(env, prefix, "DWMin", fMinDist));
846	}
847	if (IsEnvDefined(env, prefix, "DWMax", print))
848	{
849	rc = kTRUE;
850	SetMaxDW(GetEnvValue(env, prefix, "DWMax", fMaxDist));
851	}
852
853	return rc;
854	}
855
856	static Double_t FcnGauss2d(Double_t x, Double_t par)
857	{
858	TVector2 v = TVector2(x[0], x[1]).Rotate(par[5]*TMath::DegToRad());
859
860	const Double_t g0 = TMath::Gaus(v.X(), par[1], par[2]);
861	const Double_t g1 = TMath::Gaus(v.Y(), par[3], par[4]);
862
863	//Gaus(Double_t x, Double_t mean=0, Double_t sigma=1, Bool_t norm=kFALSE);
864	return par[0]g0g1;
865	}
866
867	// --------------------------------------------------------------------------
868	//
869	// This is a preliminary implementation of a alpha-fit procedure for
870	// all possible source positions. It will be moved into its own
871	// more powerfull class soon.
872	//
873	// The fit function is "gaus(0)+pol2(3)" which is equivalent to:
874	// [0]exp(-0.5((x-[1])/[2])^2) + [3] + [4]x + [5]x^2
875	// or
876	// Aexp(-0.5((x-mu)/sigma)^2) + a + bx + cx^2
877	//
878	// Parameter [1] is fixed to 0 while the alpha peak should be
879	// symmetric around alpha=0.
880	//
881	// Parameter [4] is fixed to 0 because the first derivative at
882	// alpha=0 should be 0, too.
883	//
884	// In a first step the background is fitted between bgmin and bgmax,
885	// while the parameters [0]=0 and [2]=1 are fixed.
886	//
887	// In a second step the signal region (alpha<sigmax) is fittet using
888	// the whole function with parameters [1], [3], [4] and [5] fixed.
889	//
890	// The number of excess and background events are calculated as
891	// s = int(0, sigint, gaus(0)+pol2(3))
892	// b = int(0, sigint, pol2(3))
893	//
894	// The Significance is calculated using the Significance() member
895	// function.
896	//
897	void MHFalseSource::FitSignificance(Float_t sigint, Float_t sigmax, Float_t bgmin, Float_t bgmax, Byte_t polynom)
898	{
899	// TObject *catalog = GetCatalog();
900
901	TH1D h0a("A", "", 50, 0, 4000);
902	TH1D h4a("chisq1", "", 50, 0, 35);
903	//TH1D h5a("prob1", "", 50, 0, 1.1);
904	TH1D h6("signifcance", "", 50, -20, 20);
905
906	TH1D h1("mu", "Parameter \\mu", 50, -1, 1);
907	TH1D h2("sigma", "Parameter \\sigma", 50, 0, 90);
908	TH1D h3("b", "Parameter b", 50, -0.1, 0.1);
909
910	TH1D h0b("a", "Parameter a (red), A (blue)", 50, 0, 4000);
911	TH1D h4b("\\chi^{2}", "\\chi^{2} (red, green) / significance (black)", 50, 0, 35);
912	//TH1D h5b("prob", "Fit probability: Bg(red), F(blue)", 50, 0, 1.1);
913
914	h0a.SetLineColor(kBlue);
915	h4a.SetLineColor(kBlue);
916	//h5a.SetLineColor(kBlue);
917	h0b.SetLineColor(kRed);
918	h4b.SetLineColor(kRed);
919	//h5b.SetLineColor(kRed);
920
921	TH1 *hist = fHist.Project3D("yx_fit");
922	hist->SetDirectory(0);
923	TH1 *hists = fHist.Project3D("yx_fit");
924	hists->SetDirectory(0);
925	TH1 *histb = fHist.Project3D("yx_fit");
926	histb->SetDirectory(0);
927	hist->Reset();
928	hists->Reset();
929	histb->Reset();
930	hist->SetNameTitle("Significance",
931	Form("Fit Region: Signal<%.1f\\circ, %.1f\\circ<Bg<%.1f\\circ",
932	sigmax, bgmin, bgmax));
933	hists->SetName("Excess");
934	histb->SetName("Background");
935	hist->SetXTitle(fHist.GetXaxis()->GetTitle());
936	hists->SetXTitle(fHist.GetXaxis()->GetTitle());
937	histb->SetXTitle(fHist.GetXaxis()->GetTitle());
938	hist->SetYTitle(fHist.GetYaxis()->GetTitle());
939	hists->SetYTitle(fHist.GetYaxis()->GetTitle());
940	histb->SetYTitle(fHist.GetYaxis()->GetTitle());
941
942	const Double_t w = fHist.GetZaxis()->GetBinWidth(1);
943
944	TArrayD maxpar;
945
946	/* func.SetParName(0, "A");
947	* func.SetParName(1, "mu");
948	* func.SetParName(2, "sigma");
949	*/
950
951	const Int_t nx = hist->GetXaxis()->GetNbins();
952	const Int_t ny = hist->GetYaxis()->GetNbins();
953	//const Int_t nr = nxnx+nyny;
954
955	Double_t maxalpha0=0;
956	Double_t maxs=3;
957
958	Int_t maxx=0;
959	Int_t maxy=0;
960
961	TStopwatch clk;
962	clk.Start();
963
964	*fLog << inf;
965	*fLog << "Signal fit: alpha < " << sigmax << endl;
966	*fLog << "Integration: alpha < " << sigint << endl;
967	*fLog << "Background fit: " << bgmin << " < alpha < " << bgmax << endl;
968	*fLog << "Polynom order: " << (int)polynom << endl;
969	*fLog << "Fitting False Source Plot..." << flush;
970
971	TH1 *h0 = fHist.Project3D("yx_entries");
972	Float_t entries = h0->GetMaximum();
973	delete h0;
974
975	MAlphaFitter fit;
976	fit.SetSignalIntegralMax(sigint);
977	fit.SetSignalFitMax(sigmax);
978	fit.SetBackgroundFitMin(bgmin);
979	fit.SetBackgroundFitMax(bgmax);
980	fit.SetPolynomOrder(polynom);
981
982	TH1D h=0, hoff=0;
983	Double_t scale = 1;
984	for (int ix=1; ix<=nx; ix++)
985	for (int iy=1; iy<=ny; iy++)
986	{
987	// This is because a 3D histogram x and y are vice versa
988	// Than for their projections
989	h = fHist.ProjectionZ("AlphaFit", ix, ix, iy, iy);
990
991	if (h->GetEntries()==0)
992	continue;
993
994	// This is a quick hack to correct for the lower acceptance at
995	// the edge of the camera
996	h->Scale(entries/h->GetEntries());
997
998	if (fHistOff)
999	{
1000	hoff = fHistOff->ProjectionZ("AlphaFitOff", ix, ix, iy, iy);
1001	// This is a quick hack to correct for the lower acceptance at
1002	// the edge of the camera
1003	hoff->Scale(entries/h->GetEntries());
1004	scale = fit.Scale(hoff, h);
1005	}
1006
1007	if (!fit.Fit(*h, hoff, scale))
1008	continue;
1009
1010	const Double_t alpha0 = h->GetBinContent(1);
1011	if (alpha0>maxalpha0)
1012	maxalpha0=alpha0;
1013
1014	// Fill results into some histograms
1015	h0a.Fill(fit.GetGausA()); // gaus-A
1016	h0b.Fill(fit.GetCoefficient(3)); // 3
1017	h1.Fill(fit.GetGausMu()); // mu
1018	h2.Fill(fit.GetGausSigma()); // sigma-gaus
1019	if (polynom>1 && !fHistOff)
1020	h3.Fill(fit.GetCoefficient(5));
1021	h4b.Fill(fit.GetChiSqSignal());
1022
1023	const Double_t sig = fit.GetSignificance();
1024	const Double_t b = fit.GetEventsBackground();
1025	const Double_t s = fit.GetEventsSignal();
1026
1027	const Int_t n = hist->GetBin(ix, iy);
1028	hists->SetBinContent(n, s-b);
1029	histb->SetBinContent(n, b);
1030
1031	hist->SetBinContent(n, sig);
1032	if (sig!=0)
1033	h6.Fill(sig);
1034
1035	if (sig>maxs)
1036	{
1037	maxs = sig;
1038	maxx = ix;
1039	maxy = iy;
1040	maxpar = fit.GetCoefficients();
1041	}
1042	}
1043
1044	*fLog << "Done." << endl;
1045
1046	h0a.GetXaxis()->SetRangeUser(0, maxalpha0*1.5);
1047	h0b.GetXaxis()->SetRangeUser(0, maxalpha0*1.5);
1048
1049	hists->SetTitle(Form("Excess events for \\alpha<%.0f\\circ (N_{max}=%d)", sigint, (int)hists->GetMaximum()));
1050	histb->SetTitle(Form("Background events for \\alpha<%.0f\\circ", sigint));
1051
1052	//hists->SetMinimum(GetMinimumGT(*hists));
1053	histb->SetMinimum(GetMinimumGT(*histb));
1054
1055	MakeSymmetric(hists);
1056	MakeSymmetric(hist);
1057
1058	clk.Stop();
1059	clk.Print("m");
1060
1061	TCanvas *c=new TCanvas;
1062
1063	gStyle->SetPalette(1, 0);
1064
1065	c->Divide(3,2, 1e-10, 1e-10);
1066	c->cd(1);
1067	gPad->SetBorderMode(0);
1068	hists->Draw("colz");
1069	hists->SetBit(kCanDelete);
1070	// catalog->Draw("mirror same *");
1071	c->cd(2);
1072	gPad->SetBorderMode(0);
1073	hist->Draw("colz");
1074	hist->SetBit(kCanDelete);
1075
1076
1077	const Double_t maxr = 0.9*TMath::Abs(fHist.GetBinCenter(1));
1078	TF2 f2d("Gaus-2D", FcnGauss2d, -maxr, maxr, -maxr, maxr, 6);
1079	f2d.SetLineWidth(1);
1080	f2d.SetParName(0, "Max sigma");
1081	f2d.SetParName(1, "Mean_1 deg");
1082	f2d.SetParName(2, "Sigma_1 deg");
1083	f2d.SetParName(3, "Mean_2 deg");
1084	f2d.SetParName(4, "Sigma_2 deg");
1085	f2d.SetParName(5, "Phi deg");
1086	f2d.SetParLimits(1, -maxr/2, maxr/2); // mu_1
1087	f2d.SetParLimits(3, -maxr/2, maxr/2); // mu_2
1088	f2d.SetParLimits(2, 0, maxr); // sigma_1
1089	f2d.SetParLimits(4, 0, maxr); // sigma_2
1090	f2d.SetParLimits(5, 0, 45); // phi
1091	f2d.SetParameter(0, maxs); // A
1092	f2d.SetParameter(1, hist->GetXaxis()->GetBinCenter(maxx)); // mu_1
1093	f2d.SetParameter(2, 0.1); // sigma_1
1094	f2d.SetParameter(3, hist->GetYaxis()->GetBinCenter(maxy)); // mu_2
1095	f2d.SetParameter(4, 0.1); // sigma_2
1096	f2d.FixParameter(5, 0); // phi
1097	hist->Fit(&f2d, "NI0R");
1098	f2d.DrawCopy("cont2same");
1099
1100
1101	// catalog->Draw("mirror same *");
1102	c->cd(3);
1103	gPad->SetBorderMode(0);
1104	histb->Draw("colz");
1105	histb->SetBit(kCanDelete);
1106	// catalog->Draw("mirror same *");
1107	c->cd(4);
1108	gPad->Divide(1,3, 0, 0);
1109	TVirtualPad *p=gPad;
1110	p->SetBorderMode(0);
1111	p->cd(1);
1112	gPad->SetBorderMode(0);
1113	h0b.DrawCopy();
1114	h0a.DrawCopy("same");
1115	p->cd(2);
1116	gPad->SetBorderMode(0);
1117	h3.DrawCopy();
1118	p->cd(3);
1119	gPad->SetBorderMode(0);
1120	h2.DrawCopy();
1121	c->cd(6);
1122	gPad->Divide(1,2, 0, 0);
1123	TVirtualPad *q=gPad;
1124	q->SetBorderMode(0);
1125	q->cd(1);
1126	gPad->SetBorderMode(0);
1127	gPad->SetBorderMode(0);
1128	h4b.DrawCopy();
1129	h4a.DrawCopy("same");
1130	h6.DrawCopy("same");
1131	q->cd(2);
1132	gPad->SetBorderMode(0);
1133	//h5b.DrawCopy();
1134	//h5a.DrawCopy("same");
1135	c->cd(5);
1136	gPad->SetBorderMode(0);
1137	if (maxx>0 && maxy>0)
1138	{
1139	const char *title = Form(" \\alpha for x=%.2f y=%.2f (S_{max}=%.1f\\sigma) ",
1140	hist->GetXaxis()->GetBinCenter(maxx),
1141	hist->GetYaxis()->GetBinCenter(maxy), maxs);
1142
1143	h = fHist.ProjectionZ("AlphaFit", maxx, maxx, maxy, maxy);
1144	h->Scale(entries/h->GetEntries());
1145
1146	h->SetDirectory(NULL);
1147	h->SetNameTitle("Result \\alpha", title);
1148	h->SetBit(kCanDelete);
1149	h->SetXTitle("\\alpha [\\circ]");
1150	h->SetYTitle("Counts");
1151	h->Draw();
1152
1153	if (fHistOff)
1154	{
1155	h->SetLineColor(kGreen);
1156
1157	TH1D *hof=fHistOff->ProjectionZ("AlphaFitOff", maxx, maxx, maxy, maxy);
1158	hof->Scale(entries/hof->GetEntries());
1159
1160	fit.Scale((TH1D)hof, (TH1D)h);
1161
1162	hof->SetLineColor(kRed);
1163	hof->SetDirectory(NULL);
1164	hof->SetNameTitle("Result \\alpha", title);
1165	hof->SetBit(kCanDelete);
1166	hof->SetXTitle("\\alpha [\\circ]");
1167	hof->SetYTitle("Counts");
1168	hof->Draw("same");
1169
1170	TH1D diff = (TH1D)h->Clone("AlphaFitOnOff");
1171	diff->Add(hof, -1);
1172	diff->SetLineColor(kBlue);
1173	diff->SetNameTitle("Result On-Off \\alpha", title);
1174	diff->SetBit(kCanDelete);
1175	diff->SetXTitle("\\alpha [\\circ]");
1176	diff->SetYTitle("Counts");
1177	diff->Draw("same");
1178
1179	h->SetMinimum(diff->GetMinimum()<0 ? diff->GetMinimum()*1.2 : 0);
1180
1181	TLine l;
1182	l.DrawLine(0, 0, 90, 0);
1183	}
1184
1185	TF1 f1("f1", Form("gaus(0) + pol%d(3)", fHistOff ? 0 : polynom), 0, 90);
1186	TF1 f2("f2", Form("gaus(0) + pol%d(3)", fHistOff ? 0 : polynom), 0, 90);
1187	f1.SetParameters(maxpar.GetArray());
1188	f2.SetParameters(maxpar.GetArray());
1189	f2.FixParameter(0, 0);
1190	f2.FixParameter(1, 0);
1191	f2.FixParameter(2, 1);
1192	f1.SetLineColor(kGreen);
1193	f2.SetLineColor(kRed);
1194
1195	f2.DrawCopy("same");
1196	f1.DrawCopy("same");
1197
1198	TPaveText *leg = new TPaveText(0.35, 0.10, 0.90, 0.35, "brNDC");
1199	leg->SetBorderSize(1);
1200	leg->SetTextSize(0.04);
1201	leg->AddText(0.5, 0.82, Form("A * exp(-(\\frac{x-\\mu}{\\sigma})^{2}/2) + pol%d", polynom))->SetTextAlign(22);
1202	//leg->AddText(0.5, 0.82, "A * exp(-(\\frac{x-\\mu}{\\sigma})^{2}/2) + b*x^{2} + a")->SetTextAlign(22);
1203	leg->AddLine(0, 0.65, 0, 0.65);
1204	leg->AddText(0.06, 0.54, Form("A=%.2f", maxpar[0]))->SetTextAlign(11);
1205	leg->AddText(0.06, 0.34, Form("\\sigma=%.2f", maxpar[2]))->SetTextAlign(11);
1206	leg->AddText(0.06, 0.14, Form("\\mu=%.2f (fix)", maxpar[1]))->SetTextAlign(11);
1207	leg->AddText(0.60, 0.54, Form("a=%.2f", maxpar[3]))->SetTextAlign(11);
1208	leg->AddText(0.60, 0.34, Form("b=%.2f (fix)", maxpar[4]))->SetTextAlign(11);
1209	if (polynom>1)
1210	leg->AddText(0.60, 0.14, Form("c=%.2f", !fHistOff?maxpar[5]:0))->SetTextAlign(11);
1211	leg->SetBit(kCanDelete);
1212	leg->Draw();
1213
1214	q->cd(2);
1215
1216	TGraph *g = new TGraph;
1217	g->SetPoint(0, 0, 0);
1218
1219	Int_t max=0;
1220	Float_t maxsig=0;
1221	for (int i=1; i<89; i++)
1222	{
1223	const Double_t s = f1.Integral(0, (float)i)/w;
1224	const Double_t b = f2.Integral(0, (float)i)/w;
1225
1226	const Double_t sig = MMath::SignificanceLiMaSigned(s, b);
1227
1228	g->SetPoint(g->GetN(), i, sig);
1229
1230	if (sig>maxsig)
1231	{
1232	max = i;
1233	maxsig = sig;
1234	}
1235	}
1236
1237	g->SetNameTitle("SigVs\\alpha", "Significance vs \\alpha");
1238	g->GetHistogram()->SetXTitle("\\alpha_{0} [\\circ]");
1239	g->GetHistogram()->SetYTitle("Significance");
1240	g->SetBit(kCanDelete);
1241	g->Draw("AP");
1242
1243	leg = new TPaveText(0.35, 0.10, 0.90, 0.25, "brNDC");
1244	leg->SetBorderSize(1);
1245	leg->SetTextSize(0.1);
1246	leg->AddText(Form("S_{max}=%.1f\\sigma at \\alpha_{max}=%d\\circ", maxsig, max));
1247	leg->SetBit(kCanDelete);
1248	leg->Draw();
1249	}
1250	}

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