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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 | ||
16 | /* | |
17 | $Log$ | |
2ab0c725 | 18 | Revision 1.6 2000/06/30 12:07:50 kowal2 |
19 | Updated from the TPC-PreRelease branch | |
20 | ||
73042f01 | 21 | Revision 1.5.4.3 2000/06/26 07:39:42 kowal2 |
22 | Changes to obey the coding rules | |
23 | ||
24 | Revision 1.5.4.2 2000/06/25 08:38:41 kowal2 | |
25 | Splitted from AliTPCtracking | |
26 | ||
27 | Revision 1.5.4.1 2000/06/14 16:48:24 kowal2 | |
28 | Parameter setting improved. Removed compiler warnings | |
29 | ||
30 | Revision 1.5 2000/04/17 09:37:33 kowal2 | |
31 | removed obsolete AliTPCDigitsDisplay.C | |
32 | ||
cc80f89e | 33 | Revision 1.4.8.2 2000/04/10 08:53:09 kowal2 |
34 | ||
35 | Updates by M. Ivanov | |
36 | ||
37 | ||
38 | Revision 1.4 1999/09/29 09:24:34 fca | |
39 | Introduction of the Copyright and cvs Log | |
40 | ||
4c039060 | 41 | */ |
42 | ||
8c555625 | 43 | //----------------------------------------------------------------------------- |
73042f01 | 44 | // |
8c555625 | 45 | // |
46 | // | |
47 | // Origin: Marian Ivanov, Uni. of Bratislava, ivanov@fmph.uniba.sk | |
48 | // | |
49 | // Declaration of class AliTPCRF1D | |
50 | // | |
51 | //----------------------------------------------------------------------------- | |
cc80f89e | 52 | |
73042f01 | 53 | // |
54 | ||
8c555625 | 55 | #include "TMath.h" |
56 | #include "AliTPCRF1D.h" | |
57 | #include "TF2.h" | |
58 | #include <iostream.h> | |
59 | #include "TCanvas.h" | |
60 | #include "TPad.h" | |
61 | #include "TStyle.h" | |
62 | #include "TH1.h" | |
63 | ||
73042f01 | 64 | extern TStyle * gStyle; |
65 | ||
66 | Int_t AliTPCRF1D::fgNRF=100; //default number of interpolation points | |
67 | Float_t AliTPCRF1D::fgRFDSTEP=0.01; //default step in cm | |
8c555625 | 68 | |
69 | static Double_t funGauss(Double_t *x, Double_t * par) | |
70 | { | |
cc80f89e | 71 | //Gauss function -needde by the generic function object |
8c555625 | 72 | return TMath::Exp(-(x[0]*x[0])/(2*par[0]*par[0])); |
73 | } | |
74 | ||
75 | static Double_t funCosh(Double_t *x, Double_t * par) | |
76 | { | |
cc80f89e | 77 | //Cosh function -needde by the generic function object |
8c555625 | 78 | return 1/TMath::CosH(3.14159*x[0]/(2*par[0])); |
79 | } | |
80 | ||
81 | static Double_t funGati(Double_t *x, Double_t * par) | |
82 | { | |
cc80f89e | 83 | //Gati function -needde by the generic function object |
73042f01 | 84 | Float_t k3=par[1]; |
85 | Float_t k3R=TMath::Sqrt(k3); | |
86 | Float_t k2=(TMath::Pi()/2)*(1-k3R/2.); | |
87 | Float_t k1=k2*k3R/(4*TMath::ATan(k3R)); | |
8c555625 | 88 | Float_t l=x[0]/par[0]; |
73042f01 | 89 | Float_t tan2=TMath::TanH(k2*l); |
8c555625 | 90 | tan2*=tan2; |
73042f01 | 91 | Float_t res = k1*(1-tan2)/(1+k3*tan2); |
8c555625 | 92 | return res; |
93 | } | |
94 | ||
8c555625 | 95 | /////////////////////////////////////////////////////////////////////////// |
96 | /////////////////////////////////////////////////////////////////////////// | |
97 | ||
8c555625 | 98 | ClassImp(AliTPCRF1D) |
99 | ||
100 | ||
101 | AliTPCRF1D::AliTPCRF1D(Bool_t direct,Int_t np,Float_t step) | |
102 | { | |
cc80f89e | 103 | //default constructor for response function object |
8c555625 | 104 | fDirect=direct; |
73042f01 | 105 | if (np!=0)fNRF = np; |
106 | else (fNRF=fgNRF); | |
8c555625 | 107 | fcharge = new Float_t[fNRF]; |
73042f01 | 108 | if (step>0) fDSTEPM1=1./step; |
109 | else fDSTEPM1 = 1./fgRFDSTEP; | |
8c555625 | 110 | fSigma = 0; |
8c555625 | 111 | fGRF = 0; |
112 | fkNorm = 0.5; | |
113 | fpadWidth = 3.5; | |
114 | forigsigma=0.; | |
115 | fOffset = 0.; | |
116 | } | |
117 | ||
73042f01 | 118 | AliTPCRF1D::AliTPCRF1D(const AliTPCRF1D &prf) |
119 | { | |
120 | // | |
121 | memcpy(this, &prf, sizeof(prf)); | |
122 | fcharge = new Float_t[fNRF]; | |
123 | memcpy(fcharge,prf.fcharge, fNRF); | |
124 | fGRF = new TF1(*(prf.fGRF)); | |
125 | } | |
126 | ||
127 | AliTPCRF1D & AliTPCRF1D::operator = (const AliTPCRF1D &prf) | |
128 | { | |
129 | // | |
130 | if (fcharge) delete fcharge; | |
131 | if (fGRF) delete fGRF; | |
132 | memcpy(this, &prf, sizeof(prf)); | |
133 | fcharge = new Float_t[fNRF]; | |
134 | memcpy(fcharge,prf.fcharge, fNRF); | |
135 | fGRF = new TF1(*(prf.fGRF)); | |
136 | return (*this); | |
137 | } | |
138 | ||
139 | ||
8c555625 | 140 | |
141 | AliTPCRF1D::~AliTPCRF1D() | |
142 | { | |
73042f01 | 143 | // |
cc80f89e | 144 | if (fcharge!=0) delete [] fcharge; |
8c555625 | 145 | if (fGRF !=0 ) fGRF->Delete(); |
146 | } | |
147 | ||
148 | Float_t AliTPCRF1D::GetRF(Float_t xin) | |
149 | { | |
cc80f89e | 150 | //function which return response |
151 | //for the charge in distance xin | |
8c555625 | 152 | //return linear aproximation of RF |
153 | Float_t x = TMath::Abs((xin-fOffset)*fDSTEPM1)+fNRF/2; | |
154 | Int_t i1=Int_t(x); | |
155 | if (x<0) i1-=1; | |
156 | Float_t res=0; | |
157 | if (i1+1<fNRF) | |
158 | res = fcharge[i1]*(Float_t(i1+1)-x)+fcharge[i1+1]*(x-Float_t(i1)); | |
159 | return res; | |
160 | } | |
161 | ||
162 | Float_t AliTPCRF1D::GetGRF(Float_t xin) | |
163 | { | |
cc80f89e | 164 | //function which returnoriginal charge distribution |
165 | //this function is just normalised for fKnorm | |
8c555625 | 166 | if (fGRF != 0 ) |
167 | return fkNorm*fGRF->Eval(xin)/fInteg; | |
168 | else | |
169 | return 0.; | |
170 | } | |
171 | ||
172 | ||
173 | void AliTPCRF1D::SetParam( TF1 * GRF,Float_t padwidth, | |
174 | Float_t kNorm, Float_t sigma) | |
175 | { | |
cc80f89e | 176 | //adjust parameters of the original charge distribution |
177 | //and pad size parameters | |
8c555625 | 178 | fpadWidth = padwidth; |
179 | fGRF = GRF; | |
180 | fkNorm = kNorm; | |
181 | if (sigma==0) sigma= fpadWidth/TMath::Sqrt(12.); | |
182 | forigsigma=sigma; | |
183 | fDSTEPM1 = 10/TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
184 | sprintf(fType,"User"); | |
185 | // Update(); | |
186 | } | |
187 | ||
188 | ||
189 | void AliTPCRF1D::SetGauss(Float_t sigma, Float_t padWidth, | |
190 | Float_t kNorm) | |
191 | { | |
cc80f89e | 192 | // |
193 | // set parameters for Gauss generic charge distribution | |
194 | // | |
8c555625 | 195 | fpadWidth = padWidth; |
196 | fkNorm = kNorm; | |
197 | if (fGRF !=0 ) fGRF->Delete(); | |
198 | fGRF = new TF1("fun",funGauss,-5,5,2); | |
199 | funParam[0]=sigma; | |
200 | forigsigma=sigma; | |
201 | fGRF->SetParameters(funParam); | |
202 | fDSTEPM1 = 10./TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
cc80f89e | 203 | //by default I set the step as one tenth of sigma |
8c555625 | 204 | sprintf(fType,"Gauss"); |
205 | } | |
206 | ||
207 | void AliTPCRF1D::SetCosh(Float_t sigma, Float_t padWidth, | |
208 | Float_t kNorm) | |
209 | { | |
cc80f89e | 210 | // |
211 | // set parameters for Cosh generic charge distribution | |
212 | // | |
8c555625 | 213 | fpadWidth = padWidth; |
214 | fkNorm = kNorm; | |
215 | if (fGRF !=0 ) fGRF->Delete(); | |
216 | fGRF = new TF1("fun", funCosh, -5.,5.,2); | |
217 | funParam[0]=sigma; | |
218 | fGRF->SetParameters(funParam); | |
219 | forigsigma=sigma; | |
220 | fDSTEPM1 = 10./TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
221 | //by default I set the step as one tenth of sigma | |
8c555625 | 222 | sprintf(fType,"Cosh"); |
223 | } | |
224 | ||
225 | void AliTPCRF1D::SetGati(Float_t K3, Float_t padDistance, Float_t padWidth, | |
226 | Float_t kNorm) | |
227 | { | |
cc80f89e | 228 | // |
229 | // set parameters for Gati generic charge distribution | |
230 | // | |
8c555625 | 231 | fpadWidth = padWidth; |
232 | fkNorm = kNorm; | |
233 | if (fGRF !=0 ) fGRF->Delete(); | |
234 | fGRF = new TF1("fun", funGati, -5.,5.,2); | |
235 | funParam[0]=padDistance; | |
236 | funParam[1]=K3; | |
237 | fGRF->SetParameters(funParam); | |
238 | forigsigma=padDistance; | |
239 | fDSTEPM1 = 10./TMath::Sqrt(padDistance*padDistance+fpadWidth*fpadWidth/12); | |
240 | //by default I set the step as one tenth of sigma | |
8c555625 | 241 | sprintf(fType,"Gati"); |
242 | } | |
243 | ||
73042f01 | 244 | void AliTPCRF1D::DrawRF(Float_t x1,Float_t x2,Int_t N) |
8c555625 | 245 | { |
cc80f89e | 246 | // |
247 | //Draw prf in selected region <x1,x2> with nuber of diviision = n | |
248 | // | |
8c555625 | 249 | char s[100]; |
250 | TCanvas * c1 = new TCanvas("canRF","Pad response function",700,900); | |
251 | c1->cd(); | |
252 | TPad * pad1 = new TPad("pad1RF","",0.05,0.55,0.95,0.95,21); | |
253 | pad1->Draw(); | |
254 | TPad * pad2 = new TPad("pad2RF","",0.05,0.05,0.95,0.45,21); | |
255 | pad2->Draw(); | |
256 | ||
257 | sprintf(s,"RF response function for %1.2f cm pad width", | |
258 | fpadWidth); | |
259 | pad1->cd(); | |
260 | TH1F * hRFo = new TH1F("hRFo","Original charge distribution",N+1,x1,x2); | |
261 | pad2->cd(); | |
262 | gStyle->SetOptFit(1); | |
263 | gStyle->SetOptStat(0); | |
264 | TH1F * hRFc = new TH1F("hRFc",s,N+1,x1,x2); | |
265 | Float_t x=x1; | |
266 | Float_t y1; | |
267 | Float_t y2; | |
268 | ||
269 | for (Float_t i = 0;i<N+1;i++) | |
270 | { | |
271 | x+=(x2-x1)/Float_t(N); | |
272 | y1 = GetRF(x); | |
273 | hRFc->Fill(x,y1); | |
274 | y2 = GetGRF(x); | |
275 | hRFo->Fill(x,y2); | |
276 | }; | |
277 | pad1->cd(); | |
278 | hRFo->Fit("gaus"); | |
279 | pad2->cd(); | |
280 | hRFc->Fit("gaus"); | |
281 | } | |
282 | ||
283 | void AliTPCRF1D::Update() | |
284 | { | |
cc80f89e | 285 | // |
286 | //update fields with interpolated values for | |
287 | //PRF calculation | |
288 | ||
289 | //at the begining initialize to 0 | |
8c555625 | 290 | for (Int_t i =0; i<fNRF;i++) fcharge[i] = 0; |
291 | if ( fGRF == 0 ) return; | |
292 | fInteg = fGRF->Integral(-5*forigsigma,5*forigsigma,funParam,0.00001); | |
293 | if ( fInteg == 0 ) fInteg = 1; | |
294 | if (fDirect==kFALSE){ | |
295 | //integrate charge over pad for different distance of pad | |
296 | for (Int_t i =0; i<fNRF;i++) | |
297 | { //x in cm fpadWidth in cm | |
298 | Float_t x = (Float_t)(i-fNRF/2)/fDSTEPM1; | |
299 | Float_t x1=TMath::Max(x-fpadWidth/2,-5*forigsigma); | |
300 | Float_t x2=TMath::Min(x+fpadWidth/2,5*forigsigma); | |
301 | fcharge[i] = | |
302 | fkNorm*fGRF->Integral(x1,x2,funParam,0.0001)/fInteg; | |
303 | }; | |
304 | } | |
305 | else{ | |
306 | for (Int_t i =0; i<fNRF;i++) | |
307 | { //x in cm fpadWidth in cm | |
308 | Float_t x = (Float_t)(i-fNRF/2)/fDSTEPM1; | |
309 | fcharge[i] = fkNorm*fGRF->Eval(x); | |
310 | }; | |
311 | } | |
312 | fSigma = 0; | |
313 | Float_t sum =0; | |
314 | Float_t mean=0; | |
315 | for (Float_t x =-fNRF/fDSTEPM1; x<fNRF/fDSTEPM1;x+=1/fDSTEPM1) | |
316 | { //x in cm fpadWidth in cm | |
317 | Float_t weight = GetRF(x+fOffset); | |
318 | fSigma+=x*x*weight; | |
319 | mean+=x*weight; | |
320 | sum+=weight; | |
321 | }; | |
322 | if (sum>0){ | |
323 | mean/=sum; | |
324 | fSigma = TMath::Sqrt(fSigma/sum-mean*mean); | |
325 | } | |
326 | else fSigma=0; | |
327 | } | |
328 | ||
329 | void AliTPCRF1D::Streamer(TBuffer &R__b) | |
330 | { | |
cc80f89e | 331 | // Stream an object of class AliTPCRF1D. |
8c555625 | 332 | if (R__b.IsReading()) { |
2ab0c725 | 333 | AliTPCRF1D::Class()->ReadBuffer(R__b, this); |
8c555625 | 334 | //read functions |
8c555625 | 335 | |
2ab0c725 | 336 | if (strncmp(fType,"Gauss",3)==0) {delete fGRF; fGRF = new TF1("fun",funGauss,-5.,5.,4);} |
337 | if (strncmp(fType,"Cosh",3)==0) {delete fGRF; fGRF = new TF1("fun",funCosh,-5.,5.,4);} | |
338 | if (strncmp(fType,"Gati",3)==0) {delete fGRF; fGRF = new TF1("fun",funGati,-5.,5.,4);} | |
339 | if (fGRF) fGRF->SetParameters(funParam); | |
8c555625 | 340 | |
341 | } else { | |
2ab0c725 | 342 | AliTPCRF1D::Class()->WriteBuffer(R__b, this); |
8c555625 | 343 | } |
344 | } | |
345 |