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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 | ||
8c555625 | 31 | #include "TMath.h" |
32 | #include "AliTPCRF1D.h" | |
33 | #include "TF2.h" | |
19364939 | 34 | #include <Riostream.h> |
8c555625 | 35 | #include "TCanvas.h" |
36 | #include "TPad.h" | |
37 | #include "TStyle.h" | |
38 | #include "TH1.h" | |
39 | ||
73042f01 | 40 | extern TStyle * gStyle; |
41 | ||
42 | Int_t AliTPCRF1D::fgNRF=100; //default number of interpolation points | |
43 | Float_t AliTPCRF1D::fgRFDSTEP=0.01; //default step in cm | |
8c555625 | 44 | |
45 | static Double_t funGauss(Double_t *x, Double_t * par) | |
46 | { | |
cc80f89e | 47 | //Gauss function -needde by the generic function object |
8c555625 | 48 | return TMath::Exp(-(x[0]*x[0])/(2*par[0]*par[0])); |
49 | } | |
50 | ||
51 | static Double_t funCosh(Double_t *x, Double_t * par) | |
52 | { | |
cc80f89e | 53 | //Cosh function -needde by the generic function object |
8c555625 | 54 | return 1/TMath::CosH(3.14159*x[0]/(2*par[0])); |
55 | } | |
56 | ||
57 | static Double_t funGati(Double_t *x, Double_t * par) | |
58 | { | |
cc80f89e | 59 | //Gati function -needde by the generic function object |
73042f01 | 60 | Float_t k3=par[1]; |
61 | Float_t k3R=TMath::Sqrt(k3); | |
62 | Float_t k2=(TMath::Pi()/2)*(1-k3R/2.); | |
63 | Float_t k1=k2*k3R/(4*TMath::ATan(k3R)); | |
8c555625 | 64 | Float_t l=x[0]/par[0]; |
73042f01 | 65 | Float_t tan2=TMath::TanH(k2*l); |
8c555625 | 66 | tan2*=tan2; |
73042f01 | 67 | Float_t res = k1*(1-tan2)/(1+k3*tan2); |
8c555625 | 68 | return res; |
69 | } | |
70 | ||
8c555625 | 71 | /////////////////////////////////////////////////////////////////////////// |
72 | /////////////////////////////////////////////////////////////////////////// | |
73 | ||
8c555625 | 74 | ClassImp(AliTPCRF1D) |
75 | ||
76 | ||
77 | AliTPCRF1D::AliTPCRF1D(Bool_t direct,Int_t np,Float_t step) | |
78 | { | |
cc80f89e | 79 | //default constructor for response function object |
8c555625 | 80 | fDirect=direct; |
73042f01 | 81 | if (np!=0)fNRF = np; |
82 | else (fNRF=fgNRF); | |
8c555625 | 83 | fcharge = new Float_t[fNRF]; |
73042f01 | 84 | if (step>0) fDSTEPM1=1./step; |
85 | else fDSTEPM1 = 1./fgRFDSTEP; | |
8c555625 | 86 | fSigma = 0; |
8c555625 | 87 | fGRF = 0; |
88 | fkNorm = 0.5; | |
89 | fpadWidth = 3.5; | |
90 | forigsigma=0.; | |
91 | fOffset = 0.; | |
92 | } | |
93 | ||
73042f01 | 94 | AliTPCRF1D::AliTPCRF1D(const AliTPCRF1D &prf) |
95 | { | |
96 | // | |
97 | memcpy(this, &prf, sizeof(prf)); | |
98 | fcharge = new Float_t[fNRF]; | |
99 | memcpy(fcharge,prf.fcharge, fNRF); | |
100 | fGRF = new TF1(*(prf.fGRF)); | |
101 | } | |
102 | ||
103 | AliTPCRF1D & AliTPCRF1D::operator = (const AliTPCRF1D &prf) | |
104 | { | |
105 | // | |
106 | if (fcharge) delete fcharge; | |
107 | if (fGRF) delete fGRF; | |
108 | memcpy(this, &prf, sizeof(prf)); | |
109 | fcharge = new Float_t[fNRF]; | |
110 | memcpy(fcharge,prf.fcharge, fNRF); | |
111 | fGRF = new TF1(*(prf.fGRF)); | |
112 | return (*this); | |
113 | } | |
114 | ||
115 | ||
8c555625 | 116 | |
117 | AliTPCRF1D::~AliTPCRF1D() | |
118 | { | |
73042f01 | 119 | // |
cc80f89e | 120 | if (fcharge!=0) delete [] fcharge; |
8c555625 | 121 | if (fGRF !=0 ) fGRF->Delete(); |
122 | } | |
123 | ||
124 | Float_t AliTPCRF1D::GetRF(Float_t xin) | |
125 | { | |
cc80f89e | 126 | //function which return response |
127 | //for the charge in distance xin | |
8c555625 | 128 | //return linear aproximation of RF |
129 | Float_t x = TMath::Abs((xin-fOffset)*fDSTEPM1)+fNRF/2; | |
130 | Int_t i1=Int_t(x); | |
131 | if (x<0) i1-=1; | |
132 | Float_t res=0; | |
133 | if (i1+1<fNRF) | |
134 | res = fcharge[i1]*(Float_t(i1+1)-x)+fcharge[i1+1]*(x-Float_t(i1)); | |
135 | return res; | |
136 | } | |
137 | ||
138 | Float_t AliTPCRF1D::GetGRF(Float_t xin) | |
139 | { | |
cc80f89e | 140 | //function which returnoriginal charge distribution |
141 | //this function is just normalised for fKnorm | |
8c555625 | 142 | if (fGRF != 0 ) |
143 | return fkNorm*fGRF->Eval(xin)/fInteg; | |
144 | else | |
145 | return 0.; | |
146 | } | |
147 | ||
148 | ||
149 | void AliTPCRF1D::SetParam( TF1 * GRF,Float_t padwidth, | |
150 | Float_t kNorm, Float_t sigma) | |
151 | { | |
cc80f89e | 152 | //adjust parameters of the original charge distribution |
153 | //and pad size parameters | |
8c555625 | 154 | fpadWidth = padwidth; |
155 | fGRF = GRF; | |
156 | fkNorm = kNorm; | |
157 | if (sigma==0) sigma= fpadWidth/TMath::Sqrt(12.); | |
158 | forigsigma=sigma; | |
159 | fDSTEPM1 = 10/TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
160 | sprintf(fType,"User"); | |
161 | // Update(); | |
162 | } | |
163 | ||
164 | ||
165 | void AliTPCRF1D::SetGauss(Float_t sigma, Float_t padWidth, | |
166 | Float_t kNorm) | |
167 | { | |
cc80f89e | 168 | // |
169 | // set parameters for Gauss generic charge distribution | |
170 | // | |
8c555625 | 171 | fpadWidth = padWidth; |
172 | fkNorm = kNorm; | |
173 | if (fGRF !=0 ) fGRF->Delete(); | |
ad56251e | 174 | fGRF = new TF1("fun",funGauss,-5,5,1); |
8c555625 | 175 | funParam[0]=sigma; |
176 | forigsigma=sigma; | |
177 | fGRF->SetParameters(funParam); | |
178 | fDSTEPM1 = 10./TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
cc80f89e | 179 | //by default I set the step as one tenth of sigma |
8c555625 | 180 | sprintf(fType,"Gauss"); |
181 | } | |
182 | ||
183 | void AliTPCRF1D::SetCosh(Float_t sigma, Float_t padWidth, | |
184 | Float_t kNorm) | |
185 | { | |
cc80f89e | 186 | // |
187 | // set parameters for Cosh generic charge distribution | |
188 | // | |
8c555625 | 189 | fpadWidth = padWidth; |
190 | fkNorm = kNorm; | |
191 | if (fGRF !=0 ) fGRF->Delete(); | |
192 | fGRF = new TF1("fun", funCosh, -5.,5.,2); | |
193 | funParam[0]=sigma; | |
194 | fGRF->SetParameters(funParam); | |
195 | forigsigma=sigma; | |
196 | fDSTEPM1 = 10./TMath::Sqrt(sigma*sigma+fpadWidth*fpadWidth/12); | |
197 | //by default I set the step as one tenth of sigma | |
8c555625 | 198 | sprintf(fType,"Cosh"); |
199 | } | |
200 | ||
201 | void AliTPCRF1D::SetGati(Float_t K3, Float_t padDistance, Float_t padWidth, | |
202 | Float_t kNorm) | |
203 | { | |
cc80f89e | 204 | // |
205 | // set parameters for Gati generic charge distribution | |
206 | // | |
8c555625 | 207 | fpadWidth = padWidth; |
208 | fkNorm = kNorm; | |
209 | if (fGRF !=0 ) fGRF->Delete(); | |
210 | fGRF = new TF1("fun", funGati, -5.,5.,2); | |
211 | funParam[0]=padDistance; | |
212 | funParam[1]=K3; | |
213 | fGRF->SetParameters(funParam); | |
214 | forigsigma=padDistance; | |
215 | fDSTEPM1 = 10./TMath::Sqrt(padDistance*padDistance+fpadWidth*fpadWidth/12); | |
216 | //by default I set the step as one tenth of sigma | |
8c555625 | 217 | sprintf(fType,"Gati"); |
218 | } | |
219 | ||
73042f01 | 220 | void AliTPCRF1D::DrawRF(Float_t x1,Float_t x2,Int_t N) |
8c555625 | 221 | { |
cc80f89e | 222 | // |
223 | //Draw prf in selected region <x1,x2> with nuber of diviision = n | |
224 | // | |
8c555625 | 225 | char s[100]; |
226 | TCanvas * c1 = new TCanvas("canRF","Pad response function",700,900); | |
227 | c1->cd(); | |
228 | TPad * pad1 = new TPad("pad1RF","",0.05,0.55,0.95,0.95,21); | |
229 | pad1->Draw(); | |
230 | TPad * pad2 = new TPad("pad2RF","",0.05,0.05,0.95,0.45,21); | |
231 | pad2->Draw(); | |
232 | ||
233 | sprintf(s,"RF response function for %1.2f cm pad width", | |
234 | fpadWidth); | |
235 | pad1->cd(); | |
236 | TH1F * hRFo = new TH1F("hRFo","Original charge distribution",N+1,x1,x2); | |
237 | pad2->cd(); | |
238 | gStyle->SetOptFit(1); | |
239 | gStyle->SetOptStat(0); | |
240 | TH1F * hRFc = new TH1F("hRFc",s,N+1,x1,x2); | |
241 | Float_t x=x1; | |
242 | Float_t y1; | |
243 | Float_t y2; | |
244 | ||
245 | for (Float_t i = 0;i<N+1;i++) | |
246 | { | |
247 | x+=(x2-x1)/Float_t(N); | |
248 | y1 = GetRF(x); | |
249 | hRFc->Fill(x,y1); | |
250 | y2 = GetGRF(x); | |
251 | hRFo->Fill(x,y2); | |
252 | }; | |
253 | pad1->cd(); | |
254 | hRFo->Fit("gaus"); | |
255 | pad2->cd(); | |
256 | hRFc->Fit("gaus"); | |
257 | } | |
258 | ||
259 | void AliTPCRF1D::Update() | |
260 | { | |
cc80f89e | 261 | // |
262 | //update fields with interpolated values for | |
263 | //PRF calculation | |
264 | ||
265 | //at the begining initialize to 0 | |
8c555625 | 266 | for (Int_t i =0; i<fNRF;i++) fcharge[i] = 0; |
267 | if ( fGRF == 0 ) return; | |
268 | fInteg = fGRF->Integral(-5*forigsigma,5*forigsigma,funParam,0.00001); | |
269 | if ( fInteg == 0 ) fInteg = 1; | |
270 | if (fDirect==kFALSE){ | |
271 | //integrate charge over pad for different distance of pad | |
272 | for (Int_t i =0; i<fNRF;i++) | |
273 | { //x in cm fpadWidth in cm | |
274 | Float_t x = (Float_t)(i-fNRF/2)/fDSTEPM1; | |
275 | Float_t x1=TMath::Max(x-fpadWidth/2,-5*forigsigma); | |
276 | Float_t x2=TMath::Min(x+fpadWidth/2,5*forigsigma); | |
277 | fcharge[i] = | |
278 | fkNorm*fGRF->Integral(x1,x2,funParam,0.0001)/fInteg; | |
279 | }; | |
280 | } | |
281 | else{ | |
282 | for (Int_t i =0; i<fNRF;i++) | |
283 | { //x in cm fpadWidth in cm | |
284 | Float_t x = (Float_t)(i-fNRF/2)/fDSTEPM1; | |
285 | fcharge[i] = fkNorm*fGRF->Eval(x); | |
286 | }; | |
287 | } | |
288 | fSigma = 0; | |
289 | Float_t sum =0; | |
290 | Float_t mean=0; | |
291 | for (Float_t x =-fNRF/fDSTEPM1; x<fNRF/fDSTEPM1;x+=1/fDSTEPM1) | |
292 | { //x in cm fpadWidth in cm | |
293 | Float_t weight = GetRF(x+fOffset); | |
294 | fSigma+=x*x*weight; | |
295 | mean+=x*weight; | |
296 | sum+=weight; | |
297 | }; | |
298 | if (sum>0){ | |
299 | mean/=sum; | |
300 | fSigma = TMath::Sqrt(fSigma/sum-mean*mean); | |
301 | } | |
302 | else fSigma=0; | |
303 | } | |
304 | ||
305 | void AliTPCRF1D::Streamer(TBuffer &R__b) | |
306 | { | |
cc80f89e | 307 | // Stream an object of class AliTPCRF1D. |
8c555625 | 308 | if (R__b.IsReading()) { |
2ab0c725 | 309 | AliTPCRF1D::Class()->ReadBuffer(R__b, this); |
8c555625 | 310 | //read functions |
8c555625 | 311 | |
2ab0c725 | 312 | if (strncmp(fType,"Gauss",3)==0) {delete fGRF; fGRF = new TF1("fun",funGauss,-5.,5.,4);} |
313 | if (strncmp(fType,"Cosh",3)==0) {delete fGRF; fGRF = new TF1("fun",funCosh,-5.,5.,4);} | |
314 | if (strncmp(fType,"Gati",3)==0) {delete fGRF; fGRF = new TF1("fun",funGati,-5.,5.,4);} | |
315 | if (fGRF) fGRF->SetParameters(funParam); | |
8c555625 | 316 | |
317 | } else { | |
2ab0c725 | 318 | AliTPCRF1D::Class()->WriteBuffer(R__b, this); |
8c555625 | 319 | } |
320 | } | |
321 |