clean up the code; count errors(no fit) and warnings separately (Alexei)
[u/mrichter/AliRoot.git] / RAW / AliCaloFastAltroFitv0.cxx
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40df175f 1/**************************************************************************
276d61fd 2 * Copyright(c) 1998-2010 ALICE Experiment at CERN, All rights reserved. *
40df175f 3 * *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
6 * *
7 * Permission to use, copy, modify and distribute this software and its *
8 * documentation strictly for non-commercial purposes is hereby granted *
9 * without fee, provided that the above copyright notice appears in all *
10 * copies and that both the copyright notice and this permission notice *
11 * appear in the supporting documentation. The authors make no claims *
12 * about the suitability of this software for any purpose. It is *
13 * provided "as is" without express or implied warranty. *
14 **************************************************************************/
15
16/* $Id:$ */
17
18/* History of cvs commits:
19 * $Log$
20 */
21
22//______________________________________________________
23// Author : Aleksei Pavlinov; IHEP, Protvino, Russia
24// Feb 17, 2009
25// Implementation of fit procedure from ALICE-INT-2008-026:
26// "Time and amplitude reconstruction from sampling
27// measurements of the PHOS signal profile"
28// M.Yu.Bogolyubsky and ..
29//
30// Fit by function en*x*x*exp(-2.*x): x = (t-t0)/tau.
31// The main goal is fast estimation of amplitude and t0.
32//
33
34// --- AliRoot header files ---
35#include "AliCaloFastAltroFitv0.h"
36
37#include <TH1.h>
38#include <TF1.h>
39#include <TCanvas.h>
40#include <TGraphErrors.h>
41#include <TMath.h>
42
43#include <math.h>
44
45ClassImp(AliCaloFastAltroFitv0)
46
47//____________________________________________________________________________
48 AliCaloFastAltroFitv0::AliCaloFastAltroFitv0()
49: TNamed(),
50 fSig(0),fTau(0),fN(0),fPed(0), fAmp(0),fAmpErr(0),fT0(0),fT0Err(0),fChi2(0.),fNDF(0)
276d61fd 51,fNoFit(0),fNfit(0),fTfit(0),fAmpfit(0), fStdFun(0)
40df175f 52{
53}
54
55//____________________________________________________________________________
56AliCaloFastAltroFitv0::AliCaloFastAltroFitv0(const char* name, const char* title,
57 const Double_t sig, const Double_t tau, const Double_t n)
58 : TNamed(name, title),
59 fSig(sig),fTau(tau),fN(n),fPed(0), fAmp(0),fAmpErr(0),fT0(0),fT0Err(0),fChi2(0.),fNDF(0)
276d61fd 60 ,fNoFit(0),fNfit(0),fTfit(0),fAmpfit(0), fStdFun(0)
40df175f 61{
62 if(strlen(name)==0) SetName("CaloFastAltroFitv0");
63}
64
65//____________________________________________________________________________
66AliCaloFastAltroFitv0::AliCaloFastAltroFitv0(const AliCaloFastAltroFitv0 &obj)
67 : TNamed(obj),
68 fSig(0),fTau(0),fN(2.),fPed(0), fAmp(0),fAmpErr(0),fT0(0),fT0Err(0),fChi2(0.),fNDF(0)
276d61fd 69 ,fNoFit(0),fNfit(0),fTfit(0),fAmpfit(0), fStdFun(0)
40df175f 70{
71}
72
73//____________________________________________________________________________
74AliCaloFastAltroFitv0::~AliCaloFastAltroFitv0()
75{
76 if(fTfit) delete [] fTfit;
77 if(fAmpfit) delete [] fAmpfit;
78}
79
80//____________________________________________________________________________
81AliCaloFastAltroFitv0& AliCaloFastAltroFitv0::operator= (const AliCaloFastAltroFitv0 &/*obj*/)
82{
83 // Not implemented yet
84 return (*this);
85}
86
87void AliCaloFastAltroFitv0::FastFit(Int_t* t, Int_t* y, Int_t nPoints, Double_t sig, Double_t tau,
88 Double_t n, Double_t ped, Double_t tMax)
89{
90 // n 2 here and unused
91 n = 2.;
92 Reset();
93
94 fSig = sig;
95 fTau = tau;
96 fPed = ped;
97
40df175f 98 Int_t ii=0;
99 CutRightPart(t,y,nPoints,tMax, ii);
100 nPoints = ii;
101
102 fNfit = 0;
103 fTfit = new Double_t[nPoints];
104 fAmpfit = new Double_t[nPoints];
105
106
107 DeductPedestal(t,y,nPoints, tau,ped, fTfit,fAmpfit,fNfit);
108 // printf(" n %i : fNfit %i : ped %f \n", n, fNfit, ped);
109 // for(int i=0; i<fNfit; i++)
110 // printf(" i %i : fAmpfit %7.2f : fTfit %7.2f \n", i, fAmpfit[i], fTfit[i]);
111
112 if(fNfit>=2) {
113 FastFit(fTfit,fAmpfit,fNfit,sig,tau, fAmp,fAmpErr, fT0,fT0Err,fChi2);
114
276d61fd 115 if(fChi2> 0.0) {
116 fNDF = fNfit - 2;
117 } else {
118 fNDF = 0;
119 fNoFit++;
120 }
40df175f 121 } else if(fNfit==1){
122 Reset(); // What to do here => fT0 = fTfit[0]; fAmp = fAmpFit[0] ??
123 } else {
124 Reset();
125 }
126}
127
128//____________________________________________________________________________
129void AliCaloFastAltroFitv0::FastFit(TH1F* h, Double_t sig, Double_t tau, Double_t n,
130Double_t ped, Double_t tMax)
131{
276d61fd 132 // Service method for convinience only
133 // h - hist with altro response
40df175f 134 Reset();
135
136 if(h==0) return;
137 Int_t nPoints = h->GetNbinsX();
61f3c0f2 138 if(nPoints<2) return; // Sep 07, 09
40df175f 139
140 Int_t* t = new Int_t[nPoints];
141 Int_t* y = new Int_t[nPoints];
142
143 for(Int_t i=0; i<nPoints; i++) {
144 t[i] = i+1;
145 y[i] = Int_t(h->GetBinContent(i+1));
146 }
147
148 if(nPoints>=2) {
149 FastFit(t,y,nPoints, sig,tau,n,ped, tMax);
150 }
276d61fd 151 if(fChi2<=0.0) fNoFit++;
40df175f 152
153 delete [] t;
154 delete [] y;
155}
156
157void AliCaloFastAltroFitv0::Reset()
158{
159 // Reset variables
160 fSig = fTau = 0.0;
161 fAmp = fAmpErr = fT0 = fT0Err = 0.0;
162 fChi2 = -1.;
163 fNDF = fNfit = 0;
61f3c0f2 164
165 if(fTfit) delete [] fTfit;
166 if(fAmpfit) delete [] fAmpfit;
40df175f 167 fTfit = fAmpfit = 0;
168}
169
170
171void AliCaloFastAltroFitv0::GetFitResult(Double_t &amp,Double_t &eamp,Double_t &t0,Double_t &et0,
172Double_t &chi2, Int_t &ndf) const
173{
174 // Return results of fitting procedure
175 amp = fAmp;
176 eamp = fAmpErr;
177 t0 = fT0;
178 et0 = fT0Err;
179 chi2 = fChi2;
180 ndf = fNDF;
181}
182
183void AliCaloFastAltroFitv0::GetFittedPoints(Int_t &nfit, Double_t* ar[2]) const
184{
185 nfit = fNfit;
186 ar[0] = fTfit;
187 ar[1] = fAmpfit;
188}
189//
190// static functions
191//
192void AliCaloFastAltroFitv0::CutRightPart(Int_t *t,Int_t *y,Int_t nPoints,Double_t tMax, Int_t &ii)
193{
61f3c0f2 194 // Cut right part of altro sample : static function
40df175f 195 Int_t tt=0;
196 for(Int_t i=0; i<nPoints; i++) {
197 tt = t[i];
198 if(tMax && tt <= Int_t(tMax)) {
199 t[ii] = tt;
200 y[ii] = y[i];
201 ii++;
202 }
203 }
204 if(0) printf(" ii %i -> ii %i : tMax %7.2f \n", nPoints, ii, tMax);
205}
206
276d61fd 207void AliCaloFastAltroFitv0::DeductPedestal(Int_t* t, Int_t* y, Int_t nPoints, Double_t tau, Double_t ped,
208 Double_t* tn, Double_t* yn, Int_t &nPointsOut)
40df175f 209{
61f3c0f2 210 // Pedestal deduction if ped is positive : static function
40df175f 211 // Discard part od samle if it is not compact.
212 static Double_t yMinUnderPed=2.; // should be tune
213 Int_t ymax=0, nmax=0;
276d61fd 214 for(Int_t i=0; i<nPoints; i++){
40df175f 215 if(y[i]>ymax) {
216 ymax = y[i];
217 nmax = i;
218 }
219 }
220 Int_t i1 = nmax - Int_t(tau);
221 //i1 = 0;
222 i1 = i1<0?0:i1;
276d61fd 223 Int_t i2 = nPoints;
40df175f 224
276d61fd 225 nPointsOut = 0;
40df175f 226 Double_t yd=0.0, tdiff=0.0;;
227 for(Int_t i=i1; i<i2; i++) {
228 if(ped>0.0) {
229 yd = Double_t(y[i]) - ped;
230 } else {
231 yd = Double_t(y[i]);
232 }
233 if(yd < yMinUnderPed) continue;
234
276d61fd 235 if(i>i1 && nPointsOut>0){
236 tdiff = t[i] - tn[nPointsOut-1];
237 // printf(" i %i : nPointsOut %i : tdiff %6.2f : tn[nPointsOut] %6.2f \n", i,nPointsOut, tdiff, tn[nPointsOut-1]);
40df175f 238 if(tdiff>1.) {
239 // discard previous points if its are before maximum point and with gap>1
240 if(i<nmax ) {
276d61fd 241 nPointsOut = 0; // nPointsOut--;
40df175f 242 // if point with gap after maximum - finish selection
243 } else if(i>=nmax ) {
244 break;
245 }
246 }
247 // Far away from maximum
248 //if(i-nmax > Int_t(5*tau)) break;
249 }
276d61fd 250 tn[nPointsOut] = Double_t(t[i]);
251 yn[nPointsOut] = yd;
252 //printf("i %i : nPointsOut %i : tn %6.2f : yn %6.2f \n", i, nPointsOut, tn[nPointsOut], yn[nPointsOut]);
253 nPointsOut++;
40df175f 254 }
276d61fd 255 //printf(" nmax %i : nPointsIn %i :nPointsOut %i i1 %i \n", nmax, nPointsIn, nPointsOut, i1);
40df175f 256}
257
276d61fd 258void AliCaloFastAltroFitv0::FastFit(const Double_t* t, const Double_t* y, const Int_t nPoints,
40df175f 259 const Double_t sig, const Double_t tau,
260 Double_t &amp, Double_t &eamp, Double_t &t0, Double_t &et0, Double_t &chi2)
261{
276d61fd 262 // Static function
40df175f 263 // It is case of n=k=2 : fnn = x*x*exp(2 - 2*x)
264 // Input:
276d61fd 265 //nPoints - number of points
266 // t[] - array of time bins
267 // y[] - array of amplitudes after pedestal subtractions;
40df175f 268 // sig - error of amplitude measurement (one value for all channels)
269 // tau - filter time response (in timebin units)
270 // Output:
271 // amp - amplitude at t0;
276d61fd 272 // eamp - error of amplitude;
40df175f 273 // t0 - time of max amplitude;
276d61fd 274 // et0 - error of t0;
275 // chi2 - chi2
40df175f 276 static Double_t xx; // t/tau
277 static Double_t a, b, c;
278 static Double_t f02, f12, f22; // functions
279 static Double_t f02d, f12d, f22d; // functions derivations
280
281 chi2 = -1.;
282
276d61fd 283 if(nPoints<2) {
284 printf(" AliCaloFastAltroFitv0::FastFit : nPoints<=%i \n", nPoints);
40df175f 285 return;
286 }
287
288 a = b = c = 0.0;
276d61fd 289 for(Int_t i=0; i<nPoints; i++){
40df175f 290 xx = t[i]/tau;
291 f02 = exp(-2.*xx);
292 f12 = xx*f02;
293 f22 = xx*f12;
294 // Derivations
295 f02d = -2.*f02;
296 f12d = f02 - 2.*f12;
297 f22d = 2.*(f12 - f22);
298 //
299 a += f02d * y[i];
300 b -= 2.*f12d * y[i];
301 c += f22d * y[i];
302 }
303 Double_t t01=0.0, t02=0.0;
304 Double_t amp1=0.0, amp2=0.0, chi21=0.0, chi22=0.0;
305 if(QuadraticRoots(a,b,c, t01,t02)) {
306 t01 *= tau;
307 t02 *= tau;
276d61fd 308 Amplitude(t,y,nPoints, sig, tau, t01, amp1, chi21);
309 Amplitude(t,y,nPoints, sig, tau, t02, amp2, chi22);
40df175f 310 if(0) {
311 printf(" t01 %f : t02 %f \n", t01, t02);
312 printf(" amp1 %f : amp2 %f \n", amp1, amp2);
313 printf(" chi21 %f : chi22 %f \n", chi21, chi22);
314 }
315 // t0 less on one tau with comparing with value from "canonical equation"
316 amp = amp1;
317 t0 = t01;
318 chi2 = chi21;
319 if(chi21 > chi22) {
320 amp = amp2;
321 t0 = t02;
322 chi2 = chi22;
323 }
324 if(tau<3.) { // EMCAL case : small tau
276d61fd 325 t0 += -0.03; // Discard bias in t0
326 Amplitude(t,y,nPoints, sig, tau, t0, amp, chi2);
40df175f 327 }
276d61fd 328 CalculateParsErrors(t, y, nPoints, sig, tau, amp, t0, eamp, et0);
40df175f 329
330 // Fill1();
331
332 // DrawFastFunction(amp, t0, fUtils->GetPedestalValue(), "1");
333 // DrawFastFunction(amp1, t01, fUtils->GetPedestalValue(), "1");
334 // DrawFastFunction(amp2, t02, fUtils->GetPedestalValue(), "2");
335 } else {
336 chi2 = t01; // no roots, bad fit - negative chi2
337 }
338}
339
340Bool_t AliCaloFastAltroFitv0::QuadraticRoots(const Double_t a, const Double_t b, const Double_t c,
341 Double_t &x1, Double_t &x2)
342{
343 // Resolve quadratic equations a*x**2 + b*x + c
344 //printf(" a %12.5e b %12.5e c %12.5e \n", a, b, c);
345 static Double_t dtmp = 0.0, dtmpCut = -1.e-6;
276d61fd 346 static Int_t iWarning=0, iNoSolution=0;
40df175f 347 dtmp = b*b - 4.*a*c;
348
349 if(dtmp>=dtmpCut && dtmp<0.0) {
276d61fd 350 if(iWarning<5 || iWarning%1000==0)
351 printf("<W> %i small neg. sq. : dtmp %12.5e \n", iWarning, dtmp);
352 iWarning++;
40df175f 353 dtmp = 0.0;
354 }
355 if(dtmp>=0.0) {
356 dtmp = sqrt(dtmp);
357 x1 = (-b + dtmp) / (2.*a);
358 x2 = (-b - dtmp) / (2.*a);
359
360 // printf(" x1 %f : x2 %f \n", x1, x2);
361 return kTRUE;
362 } else {
363 x1 = dtmp;
276d61fd 364 if(iNoSolution<5 || iNoSolution%1000==0)
365 printf("<No solution> %i neg. sq. : dtmp %12.5e \n", iNoSolution, dtmp);
366 iNoSolution++;
40df175f 367 return kFALSE;
368 }
369}
370
276d61fd 371void AliCaloFastAltroFitv0::Amplitude(const Double_t* t,const Double_t* y,const Int_t nPoints,
40df175f 372 const Double_t sig, const Double_t tau, const Double_t t0,
373 Double_t &amp, Double_t &chi2)
374{
375 // Calculate parameters error too - Mar 24,09
376 // sig is independent from points
377 amp = 0.;
378 Double_t x=0.0, f=0.0, den=0.0, f02;
276d61fd 379 for(Int_t i=0; i<nPoints; i++){
40df175f 380 x = (t[i] - t0)/tau;
381 f02 = exp(-2.*x);
382 f = x*x*f02;
383 amp += f*y[i];
384 den += f*f;
385 }
386 if(den>0.0) amp /= den;
387 //
388 // chi2 calculation
389 //
390 Double_t dy=0.0;
391 chi2=0.;
276d61fd 392 for(Int_t i=0; i<nPoints; i++){
40df175f 393 x = (t[i] - t0)/tau;
394 f02 = exp(-2.*x);
395 f = amp*x*x*f02;
396 dy = y[i]-f;
397 chi2 += dy*dy;
398 // printf(" %i : y %f -> f %f : dy %f \n", i, y[i], f, dy);
399 }
400 chi2 /= (sig*sig);
401}
402
276d61fd 403void AliCaloFastAltroFitv0::CalculateParsErrors(const Double_t* t, const Double_t* /*y*/, const Int_t nPoints,
40df175f 404 const Double_t sig, const Double_t tau,
405 Double_t &amp, Double_t &t0, Double_t &eamp, Double_t &et0)
406{
407 // Remember that fmax = exp(-n);
408 // fmax_nk = (n/k)**n*exp(-n) => n=k=2 => exp(-n) = exp(-2.)
409 static Double_t cc = exp(-2.);
410 // static Double_t cc = exp(-fN); // mean(N)~1.5 ??
411
412 Double_t sumf2=0.0, sumfd2=0.0, x, f02, f12, f22, f22d;
413
276d61fd 414 for(Int_t i=0; i<nPoints; i++){
40df175f 415 x = (t[i] - t0)/tau;
416 f02 = exp(-2.*x);
417 f12 = x*f02;
418 f22 = x*f12;
419 sumf2 += f22 * f22;
420 //
421 f22d = 2.*(f12 - f22);
422 sumfd2 += f22d * f22d;
423 }
424 et0 = (sig/amp)/sqrt(sumfd2);
425 eamp = sig/sqrt(sumf2);
426
427 amp *= cc;
428 eamp *= cc;
429}
430
431//
432// Drawing
433//
434TCanvas* AliCaloFastAltroFitv0::DrawFastFunction()
435{
436 // QA of fitting
437 if(fNfit<=0) return 0; // no points
438
439 static TCanvas *c = 0;
440 if(c==0) {
441 c = new TCanvas("fastFun","fastFun",800,600);
442 }
443
444 c->cd();
445
446 Double_t* eamp = new Double_t[fNfit];
447 Double_t* et = new Double_t[fNfit];
448
449 for(Int_t i=0; i<fNfit; i++) {
450 eamp[i] = fSig;
451 et[i] = 0.0;
452 }
453
454 TGraphErrors *gr = new TGraphErrors(fNfit, fTfit,fAmpfit, et,eamp);
455 gr->Draw("Ap");
456 gr->SetTitle(Form("Fast Fit : #chi^{2}/ndf = %8.2f / %i", GetChi2(), GetNDF()));
457 gr->GetHistogram()->SetXTitle(" time bin ");
458 gr->GetHistogram()->SetYTitle(" amplitude ");
459
460 if(fStdFun==0) {
461 fStdFun = new TF1("stdFun", StdResponseFunction, 0., fTfit[fNfit-1]+2., 5);
462 fStdFun->SetParNames("amp","t0","tau","N","ped");
463 }
464 fStdFun->SetParameter(0, GetEnergy());
465 fStdFun->SetParameter(1, GetTime() + GetTau());
466 fStdFun->SetParameter(2, GetTau()); //
467 fStdFun->SetParameter(3, GetN()); // 2
468 fStdFun->SetParameter(4, 0.); //
469
470 fStdFun->SetLineColor(kBlue);
471 fStdFun->SetLineWidth(1);
472
473 fStdFun->Draw("same");
474
475 delete [] eamp;
476 delete [] et;
477
478 c->Update();
479
480 return c;
481}
482
483Double_t AliCaloFastAltroFitv0::StdResponseFunction(const Double_t *x, const Double_t *par)
484{
61f3c0f2 485 // Static Standard Response Function :
40df175f 486 // look to Double_t AliEMCALRawUtils::RawResponseFunction(Double_t *x, Double_t *par)
487 // Using for drawing only.
488 //
489 // Shape of the electronics raw reponse:
490 // It is a semi-gaussian, 2nd order Gamma function (n=2) of the general form
491 //
492 // t' = (t - t0 + tau) / tau
493 // F = A * t**N * exp( N * ( 1 - t) ) for t >= 0
494 // F = 0 for t < 0
495 //
496 // parameters:
497 // A: par[0] // Amplitude = peak value
498 // t0: par[1]
499 // tau: par[2]
500 // N: par[3]
501 // ped: par[4]
502 //
503 static Double_t signal , tau, n, ped, xx;
504
505 tau = par[2];
506 n = par[3];
507 ped = par[4];
508 xx = ( x[0] - par[1] + tau ) / tau ;
509
510 if (xx <= 0)
511 signal = ped ;
512 else {
513 signal = ped + par[0] * TMath::Power(xx , n) * TMath::Exp(n * (1 - xx )) ;
514 }
515 return signal ;
516}