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4c039060 | 1 | /************************************************************************** |
2 | * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. * | |
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 | ||
88cb7938 | 16 | /* $Id$ */ |
19364939 | 17 | |
4c039060 | 18 | |
8c555625 | 19 | //----------------------------------------------------------------------------- |
73042f01 | 20 | // |
8c555625 | 21 | // |
22 | // | |
23 | // Origin: Marian Ivanov, Uni. of Bratislava, ivanov@fmph.uniba.sk | |
24 | // | |
25 | // Declaration of class AliTPCRF1D | |
26 | // | |
27 | //----------------------------------------------------------------------------- | |
cc80f89e | 28 | |
73042f01 | 29 | // |
30 | ||
19364939 | 31 | #include <Riostream.h> |
a1e17193 | 32 | #include <TCanvas.h> |
33 | #include <TClass.h> | |
34 | #include <TF2.h> | |
35 | #include <TH1.h> | |
36 | #include <TMath.h> | |
37 | #include <TPad.h> | |
2a336e15 | 38 | #include <TString.h> |
a1e17193 | 39 | #include <TStyle.h> |
40 | ||
41 | #include "AliTPCRF1D.h" | |
8c555625 | 42 | |
73042f01 | 43 | extern TStyle * gStyle; |
44 | ||
45 | Int_t AliTPCRF1D::fgNRF=100; //default number of interpolation points | |
46 | Float_t AliTPCRF1D::fgRFDSTEP=0.01; //default step in cm | |
8c555625 | 47 | |
48 | static Double_t funGauss(Double_t *x, Double_t * par) | |
49 | { | |
cc80f89e | 50 | //Gauss function -needde by the generic function object |
8c555625 | 51 | return TMath::Exp(-(x[0]*x[0])/(2*par[0]*par[0])); |
52 | } | |
53 | ||
54 | static Double_t funCosh(Double_t *x, Double_t * par) | |
55 | { | |
cc80f89e | 56 | //Cosh function -needde by the generic function object |
8c555625 | 57 | return 1/TMath::CosH(3.14159*x[0]/(2*par[0])); |
58 | } | |
59 | ||
60 | static Double_t funGati(Double_t *x, Double_t * par) | |
61 | { | |
cc80f89e | 62 | //Gati function -needde by the generic function object |
73042f01 | 63 | Float_t k3=par[1]; |
64 | Float_t k3R=TMath::Sqrt(k3); | |
65 | Float_t k2=(TMath::Pi()/2)*(1-k3R/2.); | |
66 | Float_t k1=k2*k3R/(4*TMath::ATan(k3R)); | |
8c555625 | 67 | Float_t l=x[0]/par[0]; |
73042f01 | 68 | Float_t tan2=TMath::TanH(k2*l); |
8c555625 | 69 | tan2*=tan2; |
73042f01 | 70 | Float_t res = k1*(1-tan2)/(1+k3*tan2); |
8c555625 | 71 | return res; |
72 | } | |
73 | ||
8c555625 | 74 | /////////////////////////////////////////////////////////////////////////// |
75 | /////////////////////////////////////////////////////////////////////////// | |
76 | ||
8c555625 | 77 | ClassImp(AliTPCRF1D) |
78 | ||
79 | ||
80 | AliTPCRF1D::AliTPCRF1D(Bool_t direct,Int_t np,Float_t step) | |
179c6296 | 81 | :TObject(), |
82 | fNRF(0), | |
83 | fDSTEPM1(0.), | |
84 | fcharge(0), | |
85 | forigsigma(0.), | |
86 | fpadWidth(3.5), | |
87 | fkNorm(0.5), | |
88 | fInteg(0.), | |
89 | fGRF(0), | |
90 | fSigma(0.), | |
91 | fOffset(0.), | |
92 | fDirect(kFALSE), | |
93 | fPadDistance(0.) | |
8c555625 | 94 | { |
cc80f89e | 95 | //default constructor for response function object |
8c555625 | 96 | fDirect=direct; |
73042f01 | 97 | if (np!=0)fNRF = np; |
98 | else (fNRF=fgNRF); | |
8c555625 | 99 | fcharge = new Float_t[fNRF]; |
73042f01 | 100 | if (step>0) fDSTEPM1=1./step; |
101 | else fDSTEPM1 = 1./fgRFDSTEP; | |
606d6545 | 102 | for(Int_t i=0;i<5;i++) { |
103 | funParam[i]=0.; | |
104 | fType[i]=0; | |
105 | } | |
106 | ||
8c555625 | 107 | } |
108 | ||
179c6296 | 109 | AliTPCRF1D::AliTPCRF1D(const AliTPCRF1D &prf) |
110 | :TObject(prf), | |
b7241179 | 111 | fNRF(prf.fNRF), |
112 | fDSTEPM1(prf.fDSTEPM1), | |
179c6296 | 113 | fcharge(0), |
b7241179 | 114 | forigsigma(prf.forigsigma), |
115 | fpadWidth(prf.fpadWidth), | |
116 | fkNorm(prf.fkNorm), | |
117 | fInteg(prf.fInteg), | |
118 | fGRF(new TF1(*(prf.fGRF))), | |
119 | fSigma(prf.fSigma), | |
120 | fOffset(prf.fOffset), | |
121 | fDirect(prf.fDirect), | |
122 | fPadDistance(prf.fPadDistance) | |
73042f01 | 123 | { |
ce100063 | 124 | // |
73042f01 | 125 | // |
b7241179 | 126 | for(Int_t i=0;i<5;i++) { |
127 | funParam[i]=0.; | |
128 | fType[i]=0; | |
129 | } | |
73042f01 | 130 | fcharge = new Float_t[fNRF]; |
b7241179 | 131 | memcpy(fcharge,prf.fcharge, fNRF*sizeof(Float_t)); |
132 | ||
2a336e15 | 133 | //PH Change the name (add 0 to the end) |
134 | TString s(fGRF->GetName()); | |
135 | s+="0"; | |
136 | fGRF->SetName(s.Data()); | |
73042f01 | 137 | } |
138 | ||
139 | AliTPCRF1D & AliTPCRF1D::operator = (const AliTPCRF1D &prf) | |
140 | { | |
b7241179 | 141 | if(this!=&prf) { |
142 | TObject::operator=(prf); | |
143 | fNRF=prf.fNRF; | |
144 | fDSTEPM1=prf.fDSTEPM1; | |
145 | delete [] fcharge; | |
146 | fcharge = new Float_t[fNRF]; | |
147 | memcpy(fcharge,prf.fcharge, fNRF*sizeof(Float_t)); | |
148 | forigsigma=prf.forigsigma; | |
149 | fpadWidth=prf.fpadWidth; | |
150 | fkNorm=prf.fkNorm; | |
151 | fInteg=prf.fInteg; | |
152 | delete fGRF; | |
153 | fGRF=new TF1(*(prf.fGRF)); | |
2a336e15 | 154 | //PH Change the name (add 0 to the end) |
b7241179 | 155 | TString s(fGRF->GetName()); |
156 | s+="0"; | |
157 | fGRF->SetName(s.Data()); | |
158 | fSigma=prf.fSigma; | |
159 | fOffset=prf.fOffset; | |
160 | fDirect=prf.fDirect; | |
161 | fPadDistance=prf.fPadDistance; | |
162 | } | |
163 | return *this; | |
73042f01 | 164 | } |
165 | ||
166 | ||
8c555625 | 167 | |
168 | AliTPCRF1D::~AliTPCRF1D() | |
169 | { | |
73042f01 | 170 | // |
b7241179 | 171 | delete [] fcharge; |
172 | delete fGRF; | |
8c555625 | 173 | } |
174 | ||
175 | Float_t AliTPCRF1D::GetRF(Float_t xin) | |
176 | { | |
cc80f89e | 177 | //function which return response |
178 | //for the charge in distance xin | |
8c555625 | 179 | //return linear aproximation of RF |
bfb1cfbd | 180 | Float_t x = (xin-fOffset)*fDSTEPM1+fNRF/2; |
8c555625 | 181 | Int_t i1=Int_t(x); |
182 | if (x<0) i1-=1; | |
183 | Float_t res=0; | |
bfb1cfbd | 184 | if (i1+1<fNRF &&i1>0) |
8c555625 | 185 | res = fcharge[i1]*(Float_t(i1+1)-x)+fcharge[i1+1]*(x-Float_t(i1)); |
186 | return res; | |
187 | } | |
188 | ||
189 | Float_t AliTPCRF1D::GetGRF(Float_t xin) | |
190 | { | |
cc80f89e | 191 | //function which returnoriginal charge distribution |
192 | //this function is just normalised for fKnorm | |
8c555625 | 193 | if (fGRF != 0 ) |
194 | return fkNorm*fGRF->Eval(xin)/fInteg; | |
195 | else | |
196 | return 0.; | |
197 | } | |
198 | ||
199 | ||
200 | void AliTPCRF1D::SetParam( TF1 * GRF,Float_t padwidth, | |
201 | Float_t kNorm, Float_t sigma) | |
202 | { | |
cc80f89e | 203 | //adjust parameters of the original charge distribution |
204 | //and pad size parameters | |
8c555625 | 205 | fpadWidth = padwidth; |
206 | fGRF = GRF; | |
207 | fkNorm = kNorm; | |
208 | if (sigma==0) sigma= fpadWidth/TMath::Sqrt(12.); | |
209 | forigsigma=sigma; | |
210 | fDSTEPM1 = 10/TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
94e6c6f4 | 211 | //sprintf(fType,"User"); |
5a41314b | 212 | snprintf(fType,5,"User"); |
8c555625 | 213 | // Update(); |
214 | } | |
215 | ||
216 | ||
217 | void AliTPCRF1D::SetGauss(Float_t sigma, Float_t padWidth, | |
218 | Float_t kNorm) | |
219 | { | |
cc80f89e | 220 | // |
221 | // set parameters for Gauss generic charge distribution | |
222 | // | |
8c555625 | 223 | fpadWidth = padWidth; |
224 | fkNorm = kNorm; | |
225 | if (fGRF !=0 ) fGRF->Delete(); | |
2a336e15 | 226 | fGRF = new TF1("funGauss",funGauss,-5,5,1); |
8c555625 | 227 | funParam[0]=sigma; |
228 | forigsigma=sigma; | |
229 | fGRF->SetParameters(funParam); | |
230 | fDSTEPM1 = 10./TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
cc80f89e | 231 | //by default I set the step as one tenth of sigma |
94e6c6f4 | 232 | //sprintf(fType,"Gauss"); |
5a41314b | 233 | snprintf(fType,5,"Gauss"); |
8c555625 | 234 | } |
235 | ||
236 | void AliTPCRF1D::SetCosh(Float_t sigma, Float_t padWidth, | |
237 | Float_t kNorm) | |
238 | { | |
cc80f89e | 239 | // |
240 | // set parameters for Cosh generic charge distribution | |
241 | // | |
8c555625 | 242 | fpadWidth = padWidth; |
243 | fkNorm = kNorm; | |
244 | if (fGRF !=0 ) fGRF->Delete(); | |
2a336e15 | 245 | fGRF = new TF1("funCosh", funCosh, -5.,5.,2); |
8c555625 | 246 | funParam[0]=sigma; |
247 | fGRF->SetParameters(funParam); | |
248 | forigsigma=sigma; | |
249 | fDSTEPM1 = 10./TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
250 | //by default I set the step as one tenth of sigma | |
94e6c6f4 | 251 | //sprintf(fType,"Cosh"); |
5a41314b | 252 | snprintf(fType,5,"Cosh"); |
8c555625 | 253 | } |
254 | ||
255 | void AliTPCRF1D::SetGati(Float_t K3, Float_t padDistance, Float_t padWidth, | |
256 | Float_t kNorm) | |
257 | { | |
cc80f89e | 258 | // |
259 | // set parameters for Gati generic charge distribution | |
260 | // | |
8c555625 | 261 | fpadWidth = padWidth; |
262 | fkNorm = kNorm; | |
263 | if (fGRF !=0 ) fGRF->Delete(); | |
2a336e15 | 264 | fGRF = new TF1("funGati", funGati, -5.,5.,2); |
8c555625 | 265 | funParam[0]=padDistance; |
266 | funParam[1]=K3; | |
267 | fGRF->SetParameters(funParam); | |
268 | forigsigma=padDistance; | |
269 | fDSTEPM1 = 10./TMath::Sqrt(padDistance*padDistance+fpadWidth*fpadWidth/12); | |
270 | //by default I set the step as one tenth of sigma | |
94e6c6f4 | 271 | //sprintf(fType,"Gati"); |
5a41314b | 272 | snprintf(fType,5,"Gati"); |
8c555625 | 273 | } |
274 | ||
bfb1cfbd | 275 | |
276 | ||
73042f01 | 277 | void AliTPCRF1D::DrawRF(Float_t x1,Float_t x2,Int_t N) |
8c555625 | 278 | { |
cc80f89e | 279 | // |
280 | //Draw prf in selected region <x1,x2> with nuber of diviision = n | |
281 | // | |
8c555625 | 282 | char s[100]; |
283 | TCanvas * c1 = new TCanvas("canRF","Pad response function",700,900); | |
284 | c1->cd(); | |
285 | TPad * pad1 = new TPad("pad1RF","",0.05,0.55,0.95,0.95,21); | |
286 | pad1->Draw(); | |
287 | TPad * pad2 = new TPad("pad2RF","",0.05,0.05,0.95,0.45,21); | |
288 | pad2->Draw(); | |
289 | ||
94e6c6f4 | 290 | //sprintf(s,"RF response function for %1.2f cm pad width", |
291 | // fpadWidth); | |
292 | snprintf(s,60,"RF response function for %1.2f cm pad width",fpadWidth); | |
8c555625 | 293 | pad1->cd(); |
294 | TH1F * hRFo = new TH1F("hRFo","Original charge distribution",N+1,x1,x2); | |
295 | pad2->cd(); | |
296 | gStyle->SetOptFit(1); | |
297 | gStyle->SetOptStat(0); | |
298 | TH1F * hRFc = new TH1F("hRFc",s,N+1,x1,x2); | |
299 | Float_t x=x1; | |
300 | Float_t y1; | |
301 | Float_t y2; | |
302 | ||
303 | for (Float_t i = 0;i<N+1;i++) | |
304 | { | |
305 | x+=(x2-x1)/Float_t(N); | |
306 | y1 = GetRF(x); | |
307 | hRFc->Fill(x,y1); | |
308 | y2 = GetGRF(x); | |
309 | hRFo->Fill(x,y2); | |
310 | }; | |
311 | pad1->cd(); | |
312 | hRFo->Fit("gaus"); | |
313 | pad2->cd(); | |
314 | hRFc->Fit("gaus"); | |
315 | } | |
316 | ||
317 | void AliTPCRF1D::Update() | |
318 | { | |
cc80f89e | 319 | // |
320 | //update fields with interpolated values for | |
321 | //PRF calculation | |
322 | ||
323 | //at the begining initialize to 0 | |
8c555625 | 324 | for (Int_t i =0; i<fNRF;i++) fcharge[i] = 0; |
325 | if ( fGRF == 0 ) return; | |
326 | fInteg = fGRF->Integral(-5*forigsigma,5*forigsigma,funParam,0.00001); | |
327 | if ( fInteg == 0 ) fInteg = 1; | |
328 | if (fDirect==kFALSE){ | |
329 | //integrate charge over pad for different distance of pad | |
330 | for (Int_t i =0; i<fNRF;i++) | |
331 | { //x in cm fpadWidth in cm | |
332 | Float_t x = (Float_t)(i-fNRF/2)/fDSTEPM1; | |
333 | Float_t x1=TMath::Max(x-fpadWidth/2,-5*forigsigma); | |
334 | Float_t x2=TMath::Min(x+fpadWidth/2,5*forigsigma); | |
335 | fcharge[i] = | |
336 | fkNorm*fGRF->Integral(x1,x2,funParam,0.0001)/fInteg; | |
337 | }; | |
338 | } | |
339 | else{ | |
340 | for (Int_t i =0; i<fNRF;i++) | |
341 | { //x in cm fpadWidth in cm | |
342 | Float_t x = (Float_t)(i-fNRF/2)/fDSTEPM1; | |
343 | fcharge[i] = fkNorm*fGRF->Eval(x); | |
344 | }; | |
345 | } | |
346 | fSigma = 0; | |
347 | Float_t sum =0; | |
348 | Float_t mean=0; | |
349 | for (Float_t x =-fNRF/fDSTEPM1; x<fNRF/fDSTEPM1;x+=1/fDSTEPM1) | |
350 | { //x in cm fpadWidth in cm | |
351 | Float_t weight = GetRF(x+fOffset); | |
352 | fSigma+=x*x*weight; | |
353 | mean+=x*weight; | |
354 | sum+=weight; | |
355 | }; | |
356 | if (sum>0){ | |
357 | mean/=sum; | |
358 | fSigma = TMath::Sqrt(fSigma/sum-mean*mean); | |
359 | } | |
360 | else fSigma=0; | |
361 | } | |
362 | ||
363 | void AliTPCRF1D::Streamer(TBuffer &R__b) | |
364 | { | |
cc80f89e | 365 | // Stream an object of class AliTPCRF1D. |
8c555625 | 366 | if (R__b.IsReading()) { |
2ab0c725 | 367 | AliTPCRF1D::Class()->ReadBuffer(R__b, this); |
8c555625 | 368 | //read functions |
8c555625 | 369 | |
2a336e15 | 370 | if (strncmp(fType,"Gauss",3)==0) {delete fGRF; fGRF = new TF1("funGauss",funGauss,-5.,5.,4);} |
371 | if (strncmp(fType,"Cosh",3)==0) {delete fGRF; fGRF = new TF1("funCosh",funCosh,-5.,5.,4);} | |
372 | if (strncmp(fType,"Gati",3)==0) {delete fGRF; fGRF = new TF1("funGati",funGati,-5.,5.,4);} | |
2ab0c725 | 373 | if (fGRF) fGRF->SetParameters(funParam); |
8c555625 | 374 | |
375 | } else { | |
2ab0c725 | 376 | AliTPCRF1D::Class()->WriteBuffer(R__b, this); |
8c555625 | 377 | } |
378 | } | |
bfb1cfbd | 379 | |
380 | ||
381 | Double_t AliTPCRF1D::Gamma4(Double_t x, Double_t p0, Double_t p1){ | |
382 | // | |
383 | // Gamma 4 Time response function of ALTRO | |
384 | // | |
385 | if (x<0) return 0; | |
386 | Double_t g1 = TMath::Exp(-4.*x/p1); | |
387 | Double_t g2 = TMath::Power(x/p1,4); | |
388 | return p0*g1*g2; | |
389 | } | |
8c555625 | 390 |