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733304f0 | 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 | /* $Id$ */ |
733304f0 | 17 | |
b8def77a | 18 | #include "AliTPCPid.h" |
19 | #include "TMath.h" | |
20 | //#include "AliITSIOTrack.h" | |
16a5b018 | 21 | #include "Riostream.h" |
b8def77a | 22 | ClassImp(AliTPCPid) |
23 | // Correction 13.01.2003 Z.S.,Dubna | |
24 | // 22.01.2003 | |
25 | //------------------------------------------------------------ | |
26 | Float_t AliTPCPid::qcorr(Float_t xc) | |
27 | { | |
28 | assert(0); | |
29 | Float_t fcorr; | |
30 | fcorr=( 0.766 +0.9692*xc -1.267*xc*xc )*( 1.-TMath::Exp(-xc*64.75) ); | |
31 | if(fcorr<=0.1)fcorr=0.1; | |
32 | return qtot/fcorr; | |
33 | } | |
34 | //----------------------------------------------------------- | |
35 | Float_t AliTPCPid::qtrm(Int_t track) | |
36 | { | |
37 | TVector q(*( this->GetVec(track) )); | |
38 | Int_t ml=(Int_t)q(0); | |
39 | if(ml<1)return 0.; | |
40 | if(ml>6)ml=6; | |
41 | float vf[6]; | |
42 | Int_t nl=0; for(Int_t i=0;i<ml;i++){if(q(i)>fSigmin){vf[nl]=q(i+1);nl++;}} | |
43 | if(nl==0)return 0.; | |
44 | switch(nl){ | |
45 | case 1:q(6)=q(1); break; | |
46 | case 2:q(6)=(q(1)+q(2))/2.; break; | |
47 | default: | |
48 | for(int fi=0;fi<2;fi++){ | |
49 | Int_t swap; | |
50 | do{ swap=0; float qmin=vf[fi]; | |
51 | for(int j=fi+1;j<nl;j++) | |
52 | if(qmin>vf[j]){qmin=vf[j];vf[j]=vf[fi];vf[fi]=qmin;swap=1;}; | |
53 | }while(swap==1); | |
54 | } | |
55 | q(6)= (vf[0]+vf[1])/2.; | |
56 | break; | |
57 | } | |
58 | for(Int_t i=0;i<nl;i++){q(i+1)=vf[i];} this->SetVec(track,q); | |
59 | return (q(6)); | |
60 | }// --- End AliTPCPid::qtrm --- | |
61 | ||
62 | Float_t AliTPCPid::qtrm(Float_t qarr[6],Int_t narr) | |
63 | { | |
64 | //.................. | |
65 | Float_t q[6],qm,qmin; | |
66 | Int_t nl,ml; | |
67 | if(narr>0&&narr<7){ml=narr;}else{return 0;}; | |
68 | nl=0; for(Int_t i=0;i<ml;i++){if(qarr[i]>fSigmin){q[nl]=qarr[i];nl++;}} | |
69 | if(nl==0)return 0.; | |
70 | switch(nl){ | |
71 | case 1:qm=q[0]; break; | |
72 | case 2:qm=(q[0]+q[1])/2.; break; | |
73 | default: | |
74 | Int_t swap; | |
75 | for(int fi=0;fi<2;fi++){ | |
76 | do{ swap=0; qmin=q[fi]; | |
77 | for(int j=fi+1;j<nl;j++) | |
78 | if(qmin>q[j]){qmin=q[j];q[j]=q[fi];q[fi]=qmin;swap=1;}; | |
79 | }while(swap==1); | |
80 | } | |
81 | qm= (q[0]+q[1])/2.; | |
82 | break; | |
83 | } | |
84 | return qm; | |
85 | }// --- End AliTPCPid::qtrm --- | |
86 | ||
87 | Int_t AliTPCPid::wpik(Int_t nc,Float_t q) | |
88 | { | |
89 | Float_t qmpi,qmk,sigpi,sigk,dpi,dk,ppi,pk; | |
90 | Float_t appi,apk; | |
91 | qmpi =cut[nc][1]; | |
92 | sigpi=cut[nc][2]; | |
93 | qmk =cut[nc][3]; | |
94 | sigk =cut[nc][4]; | |
95 | appi = aprob[0][nc-5]; | |
96 | apk = aprob[1][nc-5]; | |
97 | if( !fSilent ){ | |
98 | cout<<"qmpi,sigpi,qmk,sigk="<<qmpi<<" "<<sigpi<<" "<<qmk<<" "<<sigk<<endl; | |
99 | cout<<"appi,apk="<<appi<<","<<apk<<endl; | |
100 | } | |
101 | Float_t dqpi=(q-qmpi)/sigpi; | |
102 | Float_t dqk =(q-qmk )/sigk; | |
9dec0e81 | 103 | dpi =TMath::Abs(dqpi); |
104 | dk =TMath::Abs(dqk); | |
b8def77a | 105 | Double_t dn=appi*TMath::Gaus(q,qmpi,sigpi)+apk*TMath::Gaus(q,qmk,sigk); |
106 | if(dn>0.){ | |
107 | ppi=appi*TMath::Gaus(q,qmpi,sigpi)/dn; | |
108 | pk = apk*TMath::Gaus(q,qmk, sigk )/dn; | |
109 | }else{fWpi=1;return pion();} | |
110 | Float_t rpik=ppi/(pk+0.0000001); | |
111 | if( !fSilent ) | |
112 | cout<<"q,dqpi,dqk, wpik: ppi,pk,rpik=" | |
113 | <<q<<" "<<dqpi<<" "<<dqk<<" "<<ppi<<" "<<pk<<" "<<rpik<<endl; | |
114 | ||
115 | fWp=0.; fWpi=ppi; fWk=pk; | |
116 | if( pk>ppi){return kaon();}else{return pion();} | |
117 | } | |
118 | //----------------------------------------------------------- | |
119 | //inline | |
120 | Int_t AliTPCPid::wpikp(Int_t nc,Float_t q) | |
121 | { | |
122 | Float_t qmpi,qmk,qmp,sigpi,sigk,sigp,ppi,pk,pp; | |
123 | Float_t appi,apk,app; | |
124 | ||
125 | qmpi =cut[nc][1]; | |
126 | sigpi=cut[nc][2]; | |
127 | qmk =cut[nc][3]; | |
128 | sigk =cut[nc][4]; | |
129 | qmp =cut[nc][5]; | |
130 | sigp =cut[nc][6]; | |
131 | ||
132 | //appi = apk = app = 1.; | |
133 | appi = aprob[0][nc-5]; | |
134 | apk = aprob[1][nc-5]; | |
135 | app = aprob[2][nc-5]; | |
136 | ||
137 | Double_t dn= appi*TMath::Gaus(q,qmpi,sigpi) | |
138 | +apk*TMath::Gaus(q,qmk,sigk)+app*TMath::Gaus(q,qmp,sigp); | |
139 | if(dn>0.){ | |
140 | ppi=appi*TMath::Gaus(q,qmpi,sigpi)/dn; | |
141 | pk = apk*TMath::Gaus(q,qmk, sigk )/dn; | |
142 | pp = app*TMath::Gaus(q,qmp, sigp )/dn; | |
143 | } | |
144 | else{fWpi=1;return pion();} | |
145 | fWp=pp; fWpi=ppi; fWk=pk; | |
146 | if( !fSilent ){ | |
147 | cout<<" wpikp: mid,sig pi,k,p="<<qmpi<<" "<<sigpi<<"; "<<qmk<<" "<<sigk<<"; " | |
148 | <<qmp<<" "<<sigp<<"; "<<endl; | |
149 | cout<<" aprob: "<<appi<<" "<<apk<<" "<<app<<endl; | |
150 | cout<<" ppi,pk,pp="<<ppi<<" "<<pk<<" "<<pp<<endl; | |
151 | } | |
152 | if( ppi>pk&&ppi>pp ) { return pion(); } | |
153 | if(pk>pp){return kaon();}else{return proton();} | |
154 | } | |
155 | //----------------------------------------------------------- | |
176aff27 | 156 | Int_t AliTPCPid::GetPcode(TClonesArray* /*rps*/,Float_t /*pm*/) |
b8def77a | 157 | { |
158 | return 0; | |
159 | } | |
160 | //----------------------------------------------------------- | |
161 | Int_t AliTPCPid::GetPcode(AliTPCtrack *track) | |
162 | { | |
163 | Double_t xk,par[5]; track->GetExternalParameters(xk,par); | |
164 | Float_t phi=TMath::ASin(par[2]) + track->GetAlpha(); | |
165 | if (phi<-TMath::Pi()) phi+=2*TMath::Pi(); | |
166 | if (phi>=TMath::Pi()) phi-=2*TMath::Pi(); | |
167 | Float_t lam=TMath::ATan(par[3]); | |
168 | Float_t pt_1=TMath::Abs(par[4]); | |
169 | Float_t mom=1./(pt_1*TMath::Cos(lam)); | |
170 | Float_t dedx=track->GetdEdx(); | |
171 | Int_t pcode=GetPcode(dedx/40.,mom); | |
172 | cout<<"TPCtrack dedx,mom,pcode="<<dedx<<","<<mom<<","<<pcode<<endl; | |
173 | return pcode?pcode:211; | |
174 | } | |
175 | //----------------------------------------------------------- | |
176 | Int_t AliTPCPid::GetPcode(AliITStrackV2 *track) | |
177 | { | |
178 | if(track==0)return 0; | |
179 | // track->Propagate(track->GetAlpha(),3.,0.1/65.19*1.848,0.1*1.848); | |
180 | track->PropagateTo(3.,0.0028,65.19); | |
181 | track->PropagateToVertex(); | |
182 | Double_t xk,par[5]; track->GetExternalParameters(xk,par); | |
183 | Float_t lam=TMath::ATan(par[3]); | |
184 | Float_t pt_1=TMath::Abs(par[4]); | |
185 | Float_t mom=0.; | |
186 | if( (pt_1*TMath::Cos(lam))!=0. ){ mom=1./(pt_1*TMath::Cos(lam)); }else{mom=0.;}; | |
187 | Float_t dedx=track->GetdEdx(); | |
188 | cout<<"lam,pt_1,mom,dedx="<<lam<<","<<pt_1<<","<<mom<<","<<dedx<<endl; | |
189 | Int_t pcode=GetPcode(dedx,mom); | |
190 | cout<<"ITS V2 dedx,mom,pcode="<<dedx<<","<<mom<<","<<pcode<<endl; | |
191 | return pcode?pcode:211; | |
192 | } | |
193 | //----------------------------------------------------------- | |
194 | Int_t AliTPCPid::GetPcode(Float_t q,Float_t pm) | |
195 | { | |
196 | fWpi=fWk=fWp=0.; fPcode=0; | |
197 | //1)---------------------- 0-120 MeV/c -------------- | |
198 | if ( pm<=cut[1][0] ) | |
199 | { fWpi=1.; return pion(); } | |
200 | //2)----------------------120-200 Mev/c ( 29.7.2002 ) ------------- | |
201 | if ( pm<=cut[2][0] ) | |
202 | { if( q<fCutKa->Eval(pm) ){fWpi=1.; return pion(); } | |
203 | else {fWk =1.; return kaon();} } | |
204 | //3)----------------------200-400 Mev/c ------------- | |
205 | if ( pm<=cut[3][0] ) | |
206 | if( q<fCutKa->Eval(pm) ) | |
207 | { fWpi=1.;return pion(); } | |
208 | else | |
209 | { if ( q<=fCutPr->Eval(pm) ) | |
210 | {fWk=1.;return kaon();} | |
211 | else {fWp=1.;return proton();} | |
212 | } | |
213 | //4)----------------------400-450 Mev/c ------------- | |
214 | if ( pm<=cut[4][0] ) | |
215 | if( q<fCutKaTune*fCutKa->Eval(pm) ) | |
216 | { fWpi=1.;return pion(); } | |
217 | else | |
218 | { if( q<fCutPr->Eval(pm) ) | |
219 | {fWk=1.;return kaon();} else {fWp=1.;return proton(); } | |
220 | } | |
221 | //5)----------------------450-500 Mev/c ------------- | |
222 | if ( pm<=cut[5][0] ) | |
223 | if ( q>fCutPr->Eval(pm) ) | |
224 | {fWp=1.;return proton();} else {return wpik(5,q);}; | |
225 | //6)----------------------500-550 Mev/c ------------- | |
226 | if ( pm<=cut[6][0] ) | |
227 | if ( q>fCutPr->Eval(pm) ) | |
228 | {fWp=1.;return proton();} else {return wpik(6,q);}; | |
229 | //7)----------------------550-600 Mev/c ------------- | |
230 | if ( pm<=cut[7][0] ) | |
231 | if ( q>fCutPr->Eval(pm) ) | |
232 | {fWp=1.;return proton();} else {return wpik(7,q);}; | |
233 | //8)----------------------600-650 Mev/c ------------- | |
234 | if ( pm<=cut[8][0] ) | |
235 | if ( q>fCutPrTune*fCutPr->Eval(pm) ){fWp=1.;return proton();} | |
236 | else {return wpik(8,q);}; | |
237 | //9)----------------------650-730 Mev/c ------------- | |
238 | if ( pm<=cut[9][0] ) | |
239 | if ( q>fCutPrTune*fCutPr->Eval(pm) ){fWp=1.;return proton();} | |
240 | else {return wpik(9,q);}; | |
241 | //10)----------------------730-830 Mev/c ------------- | |
242 | if( pm<=cut[10][0] ) | |
243 | if ( q>fCutPrTune*fCutPr->Eval(pm) ){fWp=1.;return proton();} | |
244 | else {return wpik(10,q);}; | |
245 | //11)----------------------830-930 Mev/c ------------- | |
246 | if( pm<=cut[11][0] ){ return wpikp(11,q); } | |
247 | //12)----------------------930-1030 Mev/c ------------- | |
248 | if( pm<=cut[12][0] ) | |
249 | { return wpikp(12,q); }; | |
250 | ||
251 | return fPcode; | |
252 | } | |
253 | //----------------------------------------------------------- | |
254 | void AliTPCPid::SetCut(Int_t n,Float_t pm,Float_t pilo,Float_t pihi, | |
255 | Float_t klo,Float_t khi,Float_t plo,Float_t phi) | |
256 | { | |
257 | cut[n][0]=pm; | |
258 | cut[n][1]=pilo; | |
259 | cut[n][2]=pihi; | |
260 | cut[n][3]=klo; | |
261 | cut[n][4]=khi; | |
262 | cut[n][5]=plo; | |
263 | cut[n][6]=phi; | |
264 | return ; | |
265 | } | |
266 | //------------------------------------------------------------ | |
267 | void AliTPCPid::SetVec(Int_t ntrack,TVector info) | |
268 | { | |
269 | TClonesArray& arr=*trs; | |
270 | new( arr[ntrack] ) TVector(info); | |
271 | } | |
272 | //----------------------------------------------------------- | |
273 | TVector* AliTPCPid::GetVec(Int_t ntrack) | |
274 | { | |
275 | TClonesArray& arr=*trs; | |
276 | return (TVector*)arr[ntrack]; | |
277 | } | |
278 | //----------------------------------------------------------- | |
279 | void AliTPCPid::SetEdep(Int_t track,Float_t Edep) | |
280 | { | |
281 | TVector xx(0,11); | |
282 | if( ((TVector*)trs->At(track))->IsValid() ) | |
283 | {TVector yy( *((TVector*)trs->At(track)) );xx=yy; } | |
284 | Int_t j=(Int_t)xx(0); if(j>4)return; | |
285 | xx(++j)=Edep;xx(0)=j; | |
286 | TClonesArray &arr=*trs; | |
287 | new(arr[track])TVector(xx); | |
288 | } | |
289 | //----------------------------------------------------------- | |
290 | void AliTPCPid::SetPmom(Int_t track,Float_t Pmom) | |
291 | { | |
292 | TVector xx(0,11); | |
293 | if( ((TVector*)trs->At(track))->IsValid() ) | |
294 | {TVector yy( *((TVector*)trs->At(track)) );xx=yy; } | |
295 | xx(10)=Pmom; | |
296 | TClonesArray &arr=*trs; | |
297 | new(arr[track])TVector(xx); | |
298 | } | |
299 | //----------------------------------------------------------- | |
300 | void AliTPCPid::SetPcod(Int_t track,Int_t partcode) | |
301 | { | |
302 | TVector xx(0,11); | |
303 | if( ((TVector*)trs->At(track))->IsValid() ) | |
304 | {TVector yy( *((TVector*)trs->At(track)) );xx=yy; } | |
305 | if(xx(11)==0) | |
306 | {xx(11)=partcode; mxtrs++; | |
307 | TClonesArray &arr=*trs; | |
308 | new(arr[track])TVector(xx); | |
309 | } | |
310 | } | |
311 | //----------------------------------------------------------- | |
312 | void AliTPCPid::Print(Int_t track) | |
313 | {cout<<mxtrs<<" tracks in AliITSPid obj."<<endl; | |
314 | if( ((TVector*)trs->At(track))->IsValid() ) | |
315 | {TVector xx( *((TVector*)trs->At(track)) ); | |
316 | xx.Print(); | |
317 | } | |
318 | else | |
319 | {cout<<"No data for track "<<track<<endl;return;} | |
320 | } | |
321 | //----------------------------------------------------------- | |
322 | void AliTPCPid::Tab(void) | |
323 | { | |
324 | if(trs->GetEntries()==0){cout<<"No entries in TAB"<<endl;return;} | |
325 | cout<<"------------------------------------------------------------------------"<<endl; | |
326 | cout<<"Nq"<<" q1 "<<" q2 "<<" q3 "<<" q4 "<<" q5 "<< | |
327 | " Qtrm " <<" Wpi "<<" Wk "<<" Wp "<<"Pmom "<<endl; | |
328 | cout<<"------------------------------------------------------------------------"<<endl; | |
329 | for(Int_t i=0;i<trs->GetEntries();i++) | |
330 | { | |
331 | TVector xx( *((TVector*)trs->At(i)) ); | |
332 | if( xx.IsValid() && xx(0)>0 ) | |
333 | { | |
334 | TVector xx( *((TVector*)trs->At(i)) ); | |
335 | if(xx(0)>=2) | |
336 | { | |
337 | // 1)Calculate Qtrm | |
338 | xx(6)=(this->qtrm(i)); | |
339 | ||
340 | }else{ | |
341 | xx(6)=xx(1); | |
342 | } | |
343 | // 2)Calculate Wpi,Wk,Wp | |
344 | this->GetPcode(xx(6),xx(10)/1000.); | |
345 | xx(7)=GetWpi(); | |
346 | xx(8)=GetWk(); | |
347 | xx(9)=GetWp(); | |
348 | // 3)Print table | |
349 | if(xx(0)>0){ | |
350 | cout<<xx(0)<<" "; | |
351 | for(Int_t j=1;j<11;j++){ | |
352 | cout.width(7);cout.precision(5);cout<<xx(j); | |
353 | } | |
354 | cout<<endl; | |
355 | } | |
356 | // 4)Update data in TVector | |
357 | TClonesArray &arr=*trs; | |
358 | new(arr[i])TVector(xx); | |
359 | } | |
360 | else | |
361 | {/*cout<<"No data for track "<<i<<endl;*/} | |
362 | }// End loop for tracks | |
363 | } | |
364 | void AliTPCPid::Reset(void) | |
365 | { | |
366 | for(Int_t i=0;i<trs->GetEntries();i++){ | |
367 | TVector xx(0,11); | |
368 | TClonesArray &arr=*trs; | |
369 | new(arr[i])TVector(xx); | |
370 | } | |
371 | } | |
372 | //----------------------------------------------------------- | |
373 | AliTPCPid::AliTPCPid(Int_t ntrack) | |
374 | { | |
375 | trs = new TClonesArray("TVector",ntrack); | |
376 | TClonesArray &arr=*trs; | |
377 | for(Int_t i=0;i<ntrack;i++)new(arr[i])TVector(0,11); | |
378 | mxtrs=0; | |
379 | ||
380 | //fCutKa = new TF1("fkaons","[0]/x/x+[1]",0.1,1.2); | |
381 | //fCutPr = new TF1("fprotons","[0]/x/x +[1]",0.2,1.2); | |
176aff27 | 382 | TF1 *f_rmska=0; |
383 | ||
384 | f_rmska = new TF1("x_frmska","1.46-7.82*x+16.78*x^2-15.53*x^3+5.24*x^4 ", | |
b8def77a | 385 | 0.1,1.2); |
386 | fCutKa = new TF1("fkaons", | |
387 | "1.25+0.044/x/x+1.25+0.044*x-13.87*x^2+22.37*x^3-10.05*x^4-2.5*x_frmska", | |
388 | 0.1,1.2); | |
389 | fCutPr = new TF1("fprotons", | |
390 | "0.83*(15.32-56.094*x+89.962*x^2-66.1856*x^3+18.4052*x^4)", | |
391 | 0.2,1.2); | |
392 | fCutKaTune=1.1; // 0.92; | |
393 | fCutPrTune=1.0; //0.80; | |
394 | ||
395 | const int inf=10; | |
396 | // Ncut Pmom pilo pihi klo khi plo phi | |
397 | // cut[j] [0] [1] [2] [3] [4] [5] [6] | |
398 | //---------------------------------------------------------------- | |
399 | SetCut( 1, 0.120, 0. , 0. , inf , inf , inf , inf ); | |
400 | SetCut( 2, 0.200, 0. , 6.0 , 6.0 , inf , inf , inf ); //120-200 | |
401 | SetCut( 3, 0.400, 0. , 3.5 , 3.5 , 9.0 , 9.0 , inf ); //200-400 | |
402 | SetCut( 4, 0.450, 0. , 1.9 , 1.9 , 4.0 , 4.0 , inf ); //400-450 | |
403 | //---------------------------------------------------------------- | |
404 | SetCut( 5, 0.500, 0.976, 0.108, 1.484 , 0.159 , 3.5 , inf ); //450-500 | |
405 | SetCut( 6, 0.550, 0.979, 0.108, 1.376 , 0.145 , 3.0 , inf ); //500-550 | |
406 | //---------------------------------------------------------------- | |
407 | SetCut( 7, 0.600, 0.984, 0.111, 1.295 , 0.146 , 2.7 , inf ); //550-600 | |
408 | SetCut( 8, 0.650, 0.989, 0.113, 1.239 , 0.141 , 2.5 , inf ); //600-650 | |
409 | SetCut( 9, 0.730, 0.995, 0.109, 1.172 , 0.132 , 2.0 , inf ); //650-730 | |
410 | //---------------------------------------------------------------- | |
411 | SetCut( 10, 0.830, 1.008, 0.116, 1.117 , 0.134 , 1.703, 0.209 ); //730-830 | |
412 | SetCut( 11, 0.930, 1.019, 0.115, 1.072 , 0.121 , 1.535, 0.215 ); //830-930 | |
413 | SetCut( 12, 1.230, 1.035, 0.117, 1.053 , 0.140 ,1.426, 0.270); //930-1030 | |
414 | //------------------------ pi,K --------------------- | |
415 | aprob[0][0]=33219.; aprob[1][0]=1971.; // aprob[0][i] - pions | |
416 | aprob[0][1]=28828.; aprob[1][1]=1973.; // aprob[1][i] - kaons | |
417 | //--------------------------------------------------- | |
418 | aprob[0][2]=24532.; aprob[1][2]=1932.; aprob[2][2]=1948.; | |
419 | aprob[0][3]=20797.; aprob[1][3]=1823.; aprob[2][3]=1970.; | |
420 | aprob[0][4]=27017.; aprob[1][4]=2681.; aprob[2][4]=2905.; | |
421 | //------------------------ pi,K,p ------------------- | |
422 | aprob[0][5]= 24563.; aprob[1][5]=2816.; aprob[2][5]=3219.; | |
423 | aprob[0][6]= 16877.; aprob[1][6]=2231.; aprob[2][6]=2746.; | |
424 | aprob[0][7]= 11557.; aprob[1][7]=1681; aprob[2][7]=2190.; | |
425 | ||
426 | fSilent=kTRUE; | |
427 | } | |
428 | //----------------------------------------------------------- | |
429 | ||
430 | ||
431 |