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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), | |
111 | fNRF(0), | |
112 | fDSTEPM1(0.), | |
113 | fcharge(0), | |
114 | forigsigma(0.), | |
115 | fpadWidth(3.5), | |
116 | fkNorm(0.5), | |
117 | fInteg(0.), | |
118 | fGRF(0), | |
119 | fSigma(0.), | |
120 | fOffset(0.), | |
121 | fDirect(kFALSE), | |
122 | fPadDistance(0.) | |
73042f01 | 123 | { |
176aff27 | 124 | |
73042f01 | 125 | // |
126 | memcpy(this, &prf, sizeof(prf)); | |
127 | fcharge = new Float_t[fNRF]; | |
128 | memcpy(fcharge,prf.fcharge, fNRF); | |
2a336e15 | 129 | fGRF = new TF1(*(prf.fGRF)); |
130 | //PH Change the name (add 0 to the end) | |
131 | TString s(fGRF->GetName()); | |
132 | s+="0"; | |
133 | fGRF->SetName(s.Data()); | |
606d6545 | 134 | for(Int_t i=0;i<5;i++) { |
135 | funParam[i]=0.; | |
136 | fType[i]=0; | |
137 | } | |
73042f01 | 138 | } |
139 | ||
140 | AliTPCRF1D & AliTPCRF1D::operator = (const AliTPCRF1D &prf) | |
141 | { | |
142 | // | |
143 | if (fcharge) delete fcharge; | |
144 | if (fGRF) delete fGRF; | |
145 | memcpy(this, &prf, sizeof(prf)); | |
146 | fcharge = new Float_t[fNRF]; | |
147 | memcpy(fcharge,prf.fcharge, fNRF); | |
148 | fGRF = new TF1(*(prf.fGRF)); | |
2a336e15 | 149 | //PH Change the name (add 0 to the end) |
150 | TString s(fGRF->GetName()); | |
151 | s+="0"; | |
152 | fGRF->SetName(s.Data()); | |
73042f01 | 153 | return (*this); |
154 | } | |
155 | ||
156 | ||
8c555625 | 157 | |
158 | AliTPCRF1D::~AliTPCRF1D() | |
159 | { | |
73042f01 | 160 | // |
cc80f89e | 161 | if (fcharge!=0) delete [] fcharge; |
8c555625 | 162 | if (fGRF !=0 ) fGRF->Delete(); |
163 | } | |
164 | ||
165 | Float_t AliTPCRF1D::GetRF(Float_t xin) | |
166 | { | |
cc80f89e | 167 | //function which return response |
168 | //for the charge in distance xin | |
8c555625 | 169 | //return linear aproximation of RF |
bfb1cfbd | 170 | Float_t x = (xin-fOffset)*fDSTEPM1+fNRF/2; |
8c555625 | 171 | Int_t i1=Int_t(x); |
172 | if (x<0) i1-=1; | |
173 | Float_t res=0; | |
bfb1cfbd | 174 | if (i1+1<fNRF &&i1>0) |
8c555625 | 175 | res = fcharge[i1]*(Float_t(i1+1)-x)+fcharge[i1+1]*(x-Float_t(i1)); |
176 | return res; | |
177 | } | |
178 | ||
179 | Float_t AliTPCRF1D::GetGRF(Float_t xin) | |
180 | { | |
cc80f89e | 181 | //function which returnoriginal charge distribution |
182 | //this function is just normalised for fKnorm | |
8c555625 | 183 | if (fGRF != 0 ) |
184 | return fkNorm*fGRF->Eval(xin)/fInteg; | |
185 | else | |
186 | return 0.; | |
187 | } | |
188 | ||
189 | ||
190 | void AliTPCRF1D::SetParam( TF1 * GRF,Float_t padwidth, | |
191 | Float_t kNorm, Float_t sigma) | |
192 | { | |
cc80f89e | 193 | //adjust parameters of the original charge distribution |
194 | //and pad size parameters | |
8c555625 | 195 | fpadWidth = padwidth; |
196 | fGRF = GRF; | |
197 | fkNorm = kNorm; | |
198 | if (sigma==0) sigma= fpadWidth/TMath::Sqrt(12.); | |
199 | forigsigma=sigma; | |
200 | fDSTEPM1 = 10/TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
201 | sprintf(fType,"User"); | |
202 | // Update(); | |
203 | } | |
204 | ||
205 | ||
206 | void AliTPCRF1D::SetGauss(Float_t sigma, Float_t padWidth, | |
207 | Float_t kNorm) | |
208 | { | |
cc80f89e | 209 | // |
210 | // set parameters for Gauss generic charge distribution | |
211 | // | |
8c555625 | 212 | fpadWidth = padWidth; |
213 | fkNorm = kNorm; | |
214 | if (fGRF !=0 ) fGRF->Delete(); | |
2a336e15 | 215 | fGRF = new TF1("funGauss",funGauss,-5,5,1); |
8c555625 | 216 | funParam[0]=sigma; |
217 | forigsigma=sigma; | |
218 | fGRF->SetParameters(funParam); | |
219 | fDSTEPM1 = 10./TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
cc80f89e | 220 | //by default I set the step as one tenth of sigma |
8c555625 | 221 | sprintf(fType,"Gauss"); |
222 | } | |
223 | ||
224 | void AliTPCRF1D::SetCosh(Float_t sigma, Float_t padWidth, | |
225 | Float_t kNorm) | |
226 | { | |
cc80f89e | 227 | // |
228 | // set parameters for Cosh generic charge distribution | |
229 | // | |
8c555625 | 230 | fpadWidth = padWidth; |
231 | fkNorm = kNorm; | |
232 | if (fGRF !=0 ) fGRF->Delete(); | |
2a336e15 | 233 | fGRF = new TF1("funCosh", funCosh, -5.,5.,2); |
8c555625 | 234 | funParam[0]=sigma; |
235 | fGRF->SetParameters(funParam); | |
236 | forigsigma=sigma; | |
237 | fDSTEPM1 = 10./TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
238 | //by default I set the step as one tenth of sigma | |
8c555625 | 239 | sprintf(fType,"Cosh"); |
240 | } | |
241 | ||
242 | void AliTPCRF1D::SetGati(Float_t K3, Float_t padDistance, Float_t padWidth, | |
243 | Float_t kNorm) | |
244 | { | |
cc80f89e | 245 | // |
246 | // set parameters for Gati generic charge distribution | |
247 | // | |
8c555625 | 248 | fpadWidth = padWidth; |
249 | fkNorm = kNorm; | |
250 | if (fGRF !=0 ) fGRF->Delete(); | |
2a336e15 | 251 | fGRF = new TF1("funGati", funGati, -5.,5.,2); |
8c555625 | 252 | funParam[0]=padDistance; |
253 | funParam[1]=K3; | |
254 | fGRF->SetParameters(funParam); | |
255 | forigsigma=padDistance; | |
256 | fDSTEPM1 = 10./TMath::Sqrt(padDistance*padDistance+fpadWidth*fpadWidth/12); | |
257 | //by default I set the step as one tenth of sigma | |
8c555625 | 258 | sprintf(fType,"Gati"); |
259 | } | |
260 | ||
bfb1cfbd | 261 | |
262 | ||
73042f01 | 263 | void AliTPCRF1D::DrawRF(Float_t x1,Float_t x2,Int_t N) |
8c555625 | 264 | { |
cc80f89e | 265 | // |
266 | //Draw prf in selected region <x1,x2> with nuber of diviision = n | |
267 | // | |
8c555625 | 268 | char s[100]; |
269 | TCanvas * c1 = new TCanvas("canRF","Pad response function",700,900); | |
270 | c1->cd(); | |
271 | TPad * pad1 = new TPad("pad1RF","",0.05,0.55,0.95,0.95,21); | |
272 | pad1->Draw(); | |
273 | TPad * pad2 = new TPad("pad2RF","",0.05,0.05,0.95,0.45,21); | |
274 | pad2->Draw(); | |
275 | ||
276 | sprintf(s,"RF response function for %1.2f cm pad width", | |
277 | fpadWidth); | |
278 | pad1->cd(); | |
279 | TH1F * hRFo = new TH1F("hRFo","Original charge distribution",N+1,x1,x2); | |
280 | pad2->cd(); | |
281 | gStyle->SetOptFit(1); | |
282 | gStyle->SetOptStat(0); | |
283 | TH1F * hRFc = new TH1F("hRFc",s,N+1,x1,x2); | |
284 | Float_t x=x1; | |
285 | Float_t y1; | |
286 | Float_t y2; | |
287 | ||
288 | for (Float_t i = 0;i<N+1;i++) | |
289 | { | |
290 | x+=(x2-x1)/Float_t(N); | |
291 | y1 = GetRF(x); | |
292 | hRFc->Fill(x,y1); | |
293 | y2 = GetGRF(x); | |
294 | hRFo->Fill(x,y2); | |
295 | }; | |
296 | pad1->cd(); | |
297 | hRFo->Fit("gaus"); | |
298 | pad2->cd(); | |
299 | hRFc->Fit("gaus"); | |
300 | } | |
301 | ||
302 | void AliTPCRF1D::Update() | |
303 | { | |
cc80f89e | 304 | // |
305 | //update fields with interpolated values for | |
306 | //PRF calculation | |
307 | ||
308 | //at the begining initialize to 0 | |
8c555625 | 309 | for (Int_t i =0; i<fNRF;i++) fcharge[i] = 0; |
310 | if ( fGRF == 0 ) return; | |
311 | fInteg = fGRF->Integral(-5*forigsigma,5*forigsigma,funParam,0.00001); | |
312 | if ( fInteg == 0 ) fInteg = 1; | |
313 | if (fDirect==kFALSE){ | |
314 | //integrate charge over pad for different distance of pad | |
315 | for (Int_t i =0; i<fNRF;i++) | |
316 | { //x in cm fpadWidth in cm | |
317 | Float_t x = (Float_t)(i-fNRF/2)/fDSTEPM1; | |
318 | Float_t x1=TMath::Max(x-fpadWidth/2,-5*forigsigma); | |
319 | Float_t x2=TMath::Min(x+fpadWidth/2,5*forigsigma); | |
320 | fcharge[i] = | |
321 | fkNorm*fGRF->Integral(x1,x2,funParam,0.0001)/fInteg; | |
322 | }; | |
323 | } | |
324 | else{ | |
325 | for (Int_t i =0; i<fNRF;i++) | |
326 | { //x in cm fpadWidth in cm | |
327 | Float_t x = (Float_t)(i-fNRF/2)/fDSTEPM1; | |
328 | fcharge[i] = fkNorm*fGRF->Eval(x); | |
329 | }; | |
330 | } | |
331 | fSigma = 0; | |
332 | Float_t sum =0; | |
333 | Float_t mean=0; | |
334 | for (Float_t x =-fNRF/fDSTEPM1; x<fNRF/fDSTEPM1;x+=1/fDSTEPM1) | |
335 | { //x in cm fpadWidth in cm | |
336 | Float_t weight = GetRF(x+fOffset); | |
337 | fSigma+=x*x*weight; | |
338 | mean+=x*weight; | |
339 | sum+=weight; | |
340 | }; | |
341 | if (sum>0){ | |
342 | mean/=sum; | |
343 | fSigma = TMath::Sqrt(fSigma/sum-mean*mean); | |
344 | } | |
345 | else fSigma=0; | |
346 | } | |
347 | ||
348 | void AliTPCRF1D::Streamer(TBuffer &R__b) | |
349 | { | |
cc80f89e | 350 | // Stream an object of class AliTPCRF1D. |
8c555625 | 351 | if (R__b.IsReading()) { |
2ab0c725 | 352 | AliTPCRF1D::Class()->ReadBuffer(R__b, this); |
8c555625 | 353 | //read functions |
8c555625 | 354 | |
2a336e15 | 355 | if (strncmp(fType,"Gauss",3)==0) {delete fGRF; fGRF = new TF1("funGauss",funGauss,-5.,5.,4);} |
356 | if (strncmp(fType,"Cosh",3)==0) {delete fGRF; fGRF = new TF1("funCosh",funCosh,-5.,5.,4);} | |
357 | if (strncmp(fType,"Gati",3)==0) {delete fGRF; fGRF = new TF1("funGati",funGati,-5.,5.,4);} | |
2ab0c725 | 358 | if (fGRF) fGRF->SetParameters(funParam); |
8c555625 | 359 | |
360 | } else { | |
2ab0c725 | 361 | AliTPCRF1D::Class()->WriteBuffer(R__b, this); |
8c555625 | 362 | } |
363 | } | |
bfb1cfbd | 364 | |
365 | ||
366 | Double_t AliTPCRF1D::Gamma4(Double_t x, Double_t p0, Double_t p1){ | |
367 | // | |
368 | // Gamma 4 Time response function of ALTRO | |
369 | // | |
370 | if (x<0) return 0; | |
371 | Double_t g1 = TMath::Exp(-4.*x/p1); | |
372 | Double_t g2 = TMath::Power(x/p1,4); | |
373 | return p0*g1*g2; | |
374 | } | |
8c555625 | 375 |