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73042f01 | 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 | $Log$ | |
18 | Revision 1.1.2.2 2000/06/25 08:38:41 kowal2 | |
19 | Splitted from AliTPCtracking | |
20 | ||
21 | */ | |
22 | ||
23 | //----------------------------------------------------------------- | |
24 | // Implementation of the TPC track class | |
25 | // | |
26 | // Origin: Iouri Belikov, CERN, Jouri.Belikov@cern.ch | |
27 | //----------------------------------------------------------------- | |
28 | ||
29 | #include "AliTPCtrack.h" | |
30 | #include "AliTPCcluster.h" | |
31 | #include "AliTPCClustersRow.h" | |
32 | #include "AliTPCClustersArray.h" | |
33 | ||
34 | ClassImp(AliTPCtrack) | |
35 | //_________________________________________________________________________ | |
36 | AliTPCtrack::AliTPCtrack(UInt_t index, const Double_t xx[5], | |
37 | const Double_t cc[15], Double_t xref, Double_t alpha) { | |
38 | //----------------------------------------------------------------- | |
39 | // This is the main track constructor. | |
40 | //----------------------------------------------------------------- | |
41 | fLab=-1; | |
42 | fChi2=0.; | |
43 | fdEdx=0.; | |
44 | ||
45 | fAlpha=alpha; | |
46 | fX=xref; | |
47 | ||
48 | fY=xx[0]; fZ=xx[1]; fC=xx[2]; fE=xx[3]; fT=xx[4]; | |
49 | ||
50 | fCyy=cc[0]; | |
51 | fCzy=cc[1]; fCzz=cc[2]; | |
52 | fCcy=cc[3]; fCcz=cc[4]; fCcc=cc[5]; | |
53 | fCey=cc[6]; fCez=cc[7]; fCec=cc[8]; fCee=cc[9]; | |
54 | fCty=cc[10]; fCtz=cc[11]; fCtc=cc[12]; fCte=cc[13]; fCtt=cc[14]; | |
55 | ||
56 | fN=0; | |
57 | fIndex[fN++]=index; | |
58 | } | |
59 | ||
60 | //_____________________________________________________________________________ | |
61 | AliTPCtrack::AliTPCtrack(const AliTPCtrack& t) { | |
62 | //----------------------------------------------------------------- | |
63 | // This is a track copy constructor. | |
64 | //----------------------------------------------------------------- | |
65 | fLab=t.fLab; | |
66 | fChi2=t.fChi2; | |
67 | fdEdx=t.fdEdx; | |
68 | ||
69 | fAlpha=t.fAlpha; | |
70 | fX=t.fX; | |
71 | ||
72 | fY=t.fY; fZ=t.fZ; fC=t.fC; fE=t.fE; fT=t.fT; | |
73 | ||
74 | fCyy=t.fCyy; | |
75 | fCzy=t.fCzy; fCzz=t.fCzz; | |
76 | fCcy=t.fCcy; fCcz=t.fCcz; fCcc=t.fCcc; | |
77 | fCey=t.fCey; fCez=t.fCez; fCec=t.fCec; fCee=t.fCee; | |
78 | fCty=t.fCty; fCtz=t.fCtz; fCtc=t.fCtc; fCte=t.fCte; fCtt=t.fCtt; | |
79 | ||
80 | fN=t.fN; | |
81 | for (Int_t i=0; i<fN; i++) fIndex[i]=t.fIndex[i]; | |
82 | } | |
83 | ||
84 | //_____________________________________________________________________________ | |
85 | void AliTPCtrack::GetCovariance(Double_t cc[15]) const { | |
86 | //just to calm down our rule checker | |
87 | cc[0]=fCyy; | |
88 | cc[1]=fCzy; cc[2]=fCzz; | |
89 | cc[3]=fCcy; cc[4]=fCcz; cc[5]=fCcc; | |
90 | cc[6]=fCey; cc[7]=fCez; cc[8]=fCec; cc[9]=fCee; | |
91 | cc[10]=fCty; cc[11]=fCtz; cc[12]=fCtc; cc[13]=fCte; cc[14]=fCtt; | |
92 | } | |
93 | ||
94 | //_____________________________________________________________________________ | |
95 | Int_t AliTPCtrack::Compare(TObject *o) { | |
96 | //----------------------------------------------------------------- | |
97 | // This function compares tracks according to the their curvature | |
98 | //----------------------------------------------------------------- | |
99 | AliTPCtrack *t=(AliTPCtrack*)o; | |
100 | //Double_t co=t->GetSigmaY2(); | |
101 | //Double_t c =GetSigmaY2(); | |
102 | Double_t co=TMath::Abs(t->GetC()); | |
103 | Double_t c =TMath::Abs(GetC()); | |
104 | if (c>co) return 1; | |
105 | else if (c<co) return -1; | |
106 | return 0; | |
107 | } | |
108 | ||
109 | //_____________________________________________________________________________ | |
110 | Int_t AliTPCtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho,Double_t pm) | |
111 | { | |
112 | //----------------------------------------------------------------- | |
113 | // This function propagates a track to a reference plane x=xk. | |
114 | //----------------------------------------------------------------- | |
115 | if (TMath::Abs(fC*xk - fE) >= 0.99999) { | |
116 | if (fN>4) cerr<<fN<<" AliTPCtrack warning: Propagation failed !\n"; | |
117 | return 0; | |
118 | } | |
119 | ||
120 | Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ; | |
121 | Double_t c1=fC*x1 - fE, r1=sqrt(1.- c1*c1); | |
122 | Double_t c2=fC*x2 - fE, r2=sqrt(1.- c2*c2); | |
123 | ||
124 | fY += dx*(c1+c2)/(r1+r2); | |
125 | fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT; | |
126 | ||
127 | //f = F - 1 | |
128 | Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2; | |
129 | Double_t f02= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr); | |
130 | Double_t f03=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr); | |
131 | Double_t cr=c1*r2+c2*r1; | |
132 | Double_t f12= dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr); | |
133 | Double_t f13=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr); | |
134 | Double_t f14= dx*cc/cr; | |
135 | ||
136 | //b = C*ft | |
137 | Double_t b00=f02*fCcy + f03*fCey, b01=f12*fCcy + f13*fCey + f14*fCty; | |
138 | Double_t b10=f02*fCcz + f03*fCez, b11=f12*fCcz + f13*fCez + f14*fCtz; | |
139 | Double_t b20=f02*fCcc + f03*fCec, b21=f12*fCcc + f13*fCec + f14*fCtc; | |
140 | Double_t b30=f02*fCec + f03*fCee, b31=f12*fCec + f13*fCee + f14*fCte; | |
141 | Double_t b40=f02*fCtc + f03*fCte, b41=f12*fCtc + f13*fCte + f14*fCtt; | |
142 | ||
143 | //a = f*b = f*C*ft | |
144 | Double_t a00=f02*b20+f03*b30,a01=f02*b21+f03*b31,a11=f12*b21+f13*b31+f14*b41; | |
145 | ||
146 | //F*C*Ft = C + (a + b + bt) | |
147 | fCyy += a00 + 2*b00; | |
148 | fCzy += a01 + b01 + b10; | |
149 | fCcy += b20; | |
150 | fCey += b30; | |
151 | fCty += b40; | |
152 | fCzz += a11 + 2*b11; | |
153 | fCcz += b21; | |
154 | fCez += b31; | |
155 | fCtz += b41; | |
156 | ||
157 | fX=x2; | |
158 | ||
159 | //Multiple scattering****************** | |
160 | Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ)); | |
161 | Double_t p2=GetPt()*GetPt()*(1.+fT*fT); | |
162 | Double_t beta2=p2/(p2 + pm*pm); | |
163 | ||
164 | Double_t ey=fC*fX - fE, ez=fT; | |
165 | Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey; | |
166 | ||
167 | Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho; | |
168 | fCcc += xz*xz*theta2; | |
169 | fCec += xz*ez*xy*theta2; | |
170 | fCtc += xz*zz1*theta2; | |
171 | fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2; | |
172 | fCte += ez*zz1*xy*theta2; | |
173 | fCtt += zz1*zz1*theta2; | |
174 | ||
175 | //Energy losses************************ | |
176 | Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*d*rho; | |
177 | if (x1 < x2) dE=-dE; | |
178 | fC*=(1.- sqrt(p2+pm*pm)/p2*dE); | |
179 | //fE*=(1.- sqrt(p2+pm*pm)/p2*dE); | |
180 | ||
181 | return 1; | |
182 | } | |
183 | ||
184 | //_____________________________________________________________________________ | |
185 | void AliTPCtrack::PropagateToVertex(Double_t x0,Double_t rho,Double_t pm) | |
186 | { | |
187 | //----------------------------------------------------------------- | |
188 | // This function propagates tracks to the "vertex". | |
189 | //----------------------------------------------------------------- | |
190 | Double_t c=fC*fX - fE; | |
191 | Double_t tgf=-fE/(fC*fY + sqrt(1-c*c)); | |
192 | Double_t snf=tgf/sqrt(1.+ tgf*tgf); | |
193 | Double_t xv=(fE+snf)/fC; | |
194 | PropagateTo(xv,x0,rho,pm); | |
195 | } | |
196 | ||
197 | //_____________________________________________________________________________ | |
198 | void AliTPCtrack::Update(const AliTPCcluster *c, Double_t chisq, UInt_t index) | |
199 | { | |
200 | //----------------------------------------------------------------- | |
201 | // This function associates a cluster with this track. | |
202 | //----------------------------------------------------------------- | |
203 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); | |
204 | r00+=fCyy; r01+=fCzy; r11+=fCzz; | |
205 | Double_t det=r00*r11 - r01*r01; | |
206 | Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det; | |
207 | ||
208 | Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11; | |
209 | Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11; | |
210 | Double_t k20=fCcy*r00+fCcz*r01, k21=fCcy*r01+fCcz*r11; | |
211 | Double_t k30=fCey*r00+fCez*r01, k31=fCey*r01+fCez*r11; | |
212 | Double_t k40=fCty*r00+fCtz*r01, k41=fCty*r01+fCtz*r11; | |
213 | ||
214 | Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ; | |
215 | Double_t cur=fC + k20*dy + k21*dz, eta=fE + k30*dy + k31*dz; | |
216 | if (TMath::Abs(cur*fX-eta) >= 0.99999) { | |
217 | if (fN>4) cerr<<fN<<" AliTPCtrack warning: Filtering failed !\n"; | |
218 | return; | |
219 | } | |
220 | ||
221 | fY += k00*dy + k01*dz; | |
222 | fZ += k10*dy + k11*dz; | |
223 | fC = cur; | |
224 | fE = eta; | |
225 | fT += k40*dy + k41*dz; | |
226 | ||
227 | Double_t c01=fCzy, c02=fCcy, c03=fCey, c04=fCty; | |
228 | Double_t c12=fCcz, c13=fCez, c14=fCtz; | |
229 | ||
230 | fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz; | |
231 | fCcy-=k00*c02+k01*c12; fCey-=k00*c03+k01*c13; | |
232 | fCty-=k00*c04+k01*c14; | |
233 | ||
234 | fCzz-=k10*c01+k11*fCzz; | |
235 | fCcz-=k10*c02+k11*c12; fCez-=k10*c03+k11*c13; | |
236 | fCtz-=k10*c04+k11*c14; | |
237 | ||
238 | fCcc-=k20*c02+k21*c12; fCec-=k20*c03+k21*c13; | |
239 | fCtc-=k20*c04+k21*c14; | |
240 | ||
241 | fCee-=k30*c03+k31*c13; | |
242 | fCte-=k30*c04+k31*c14; | |
243 | ||
244 | fCtt-=k40*c04+k41*c14; | |
245 | ||
246 | fIndex[fN++]=index; | |
247 | fChi2 += chisq; | |
248 | } | |
249 | ||
250 | //_____________________________________________________________________________ | |
251 | Int_t AliTPCtrack::Rotate(Double_t alpha) | |
252 | { | |
253 | //----------------------------------------------------------------- | |
254 | // This function rotates this track. | |
255 | //----------------------------------------------------------------- | |
256 | fAlpha += alpha; | |
257 | ||
258 | Double_t x1=fX, y1=fY; | |
259 | Double_t ca=cos(alpha), sa=sin(alpha); | |
260 | Double_t r1=fC*fX - fE; | |
261 | ||
262 | fX = x1*ca + y1*sa; | |
263 | fY=-x1*sa + y1*ca; | |
264 | fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa; | |
265 | ||
266 | Double_t r2=fC*fX - fE; | |
267 | if (TMath::Abs(r2) >= 0.99999) { | |
268 | if (fN>4) cerr<<fN<<" AliTPCtrack warning: Rotation failed !\n"; | |
269 | return 0; | |
270 | } | |
271 | ||
272 | Double_t y0=fY + sqrt(1.- r2*r2)/fC; | |
273 | if ((fY-y0)*fC >= 0.) { | |
274 | if (fN>4) cerr<<fN<<" AliTPCtrack warning: Rotation failed !!!\n"; | |
275 | return 0; | |
276 | } | |
277 | ||
278 | //f = F - 1 | |
279 | Double_t f00=ca-1, f32=(y1 - r1*x1/sqrt(1.- r1*r1))*sa, | |
280 | f30=fC*sa, f33=(ca + sa*r1/sqrt(1.- r1*r1))-1; | |
281 | ||
282 | //b = C*ft | |
283 | Double_t b00=fCyy*f00, b03=fCyy*f30+fCcy*f32+fCey*f33; | |
284 | Double_t b10=fCzy*f00, b13=fCzy*f30+fCcz*f32+fCez*f33; | |
285 | Double_t b20=fCcy*f00, b23=fCcy*f30+fCcc*f32+fCec*f33; | |
286 | Double_t b30=fCey*f00, b33=fCey*f30+fCec*f32+fCee*f33; | |
287 | Double_t b40=fCty*f00, b43=fCty*f30+fCtc*f32+fCte*f33; | |
288 | ||
289 | //a = f*b = f*C*ft | |
290 | Double_t a00=f00*b00, a03=f00*b03, a33=f30*b03+f32*b23+f33*b33; | |
291 | ||
292 | // *** Double_t dy2=fCyy; | |
293 | ||
294 | //F*C*Ft = C + (a + b + bt) | |
295 | fCyy += a00 + 2*b00; | |
296 | fCzy += b10; | |
297 | fCcy += b20; | |
298 | fCey += a03+b30+b03; | |
299 | fCty += b40; | |
300 | fCez += b13; | |
301 | fCec += b23; | |
302 | fCee += a33 + 2*b33; | |
303 | fCte += b43; | |
304 | ||
305 | // *** fCyy+=dy2*sa*sa*r1*r1/(1.- r1*r1); | |
306 | // *** fCzz+=d2y*sa*sa*fT*fT/(1.- r1*r1); | |
307 | ||
308 | return 1; | |
309 | } | |
310 | ||
311 | //_____________________________________________________________________________ | |
312 | Double_t AliTPCtrack::GetPredictedChi2(const AliTPCcluster *c) const | |
313 | { | |
314 | //----------------------------------------------------------------- | |
315 | // This function calculates a predicted chi2 increment. | |
316 | //----------------------------------------------------------------- | |
317 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); | |
318 | r00+=fCyy; r01+=fCzy; r11+=fCzz; | |
319 | ||
320 | Double_t det=r00*r11 - r01*r01; | |
321 | if (TMath::Abs(det) < 1.e-10) { | |
322 | if (fN>4) cerr<<fN<<" AliTPCtrack warning: Singular matrix !\n"; | |
323 | return 1e10; | |
324 | } | |
325 | Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01; | |
326 | ||
327 | Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ; | |
328 | ||
329 | return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det; | |
330 | } | |
331 | ||
332 | //_____________________________________________________________________________ | |
333 | void AliTPCtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const | |
334 | { | |
335 | //----------------------------------------------------------------- | |
336 | // This function returns reconstructed track momentum in the global system. | |
337 | //----------------------------------------------------------------- | |
338 | Double_t pt=TMath::Abs(GetPt()); // GeV/c | |
339 | Double_t r=fC*fX-fE; | |
340 | Double_t y0=fY + sqrt(1.- r*r)/fC; | |
341 | px=-pt*(fY-y0)*fC; //cos(phi); | |
342 | py=-pt*(fE-fX*fC); //sin(phi); | |
343 | pz=pt*fT; | |
344 | Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha); | |
345 | py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha); | |
346 | px=tmp; | |
347 | } | |
348 | ||
349 | //_____________________________________________________________________________ | |
350 | void AliTPCtrack::CookLabel(AliTPCClustersArray *ca) { | |
351 | //----------------------------------------------------------------- | |
352 | // This function cooks the track label. If label<0, this track is fake. | |
353 | //----------------------------------------------------------------- | |
354 | Int_t *lb=new Int_t[fN]; | |
355 | Int_t *mx=new Int_t[fN]; | |
356 | AliTPCcluster **clusters=new AliTPCcluster*[fN]; | |
357 | ||
358 | Int_t i; | |
359 | Int_t sec,row,ncl; | |
360 | for (i=0; i<fN; i++) { | |
361 | lb[i]=mx[i]=0; | |
362 | GetCluster(i,sec,row,ncl); | |
363 | AliTPCClustersRow *clrow=ca->GetRow(sec,row); | |
364 | clusters[i]=(AliTPCcluster*)(*clrow)[ncl]; | |
365 | } | |
366 | ||
367 | Int_t lab=123456789; | |
368 | for (i=0; i<fN; i++) { | |
369 | AliTPCcluster *c=clusters[i]; | |
370 | lab=TMath::Abs(c->GetLabel(0)); | |
371 | Int_t j; | |
372 | for (j=0; j<fN; j++) | |
373 | if (lb[j]==lab || mx[j]==0) break; | |
374 | lb[j]=lab; | |
375 | (mx[j])++; | |
376 | } | |
377 | ||
378 | Int_t max=0; | |
379 | for (i=0; i<fN; i++) | |
380 | if (mx[i]>max) {max=mx[i]; lab=lb[i];} | |
381 | ||
382 | for (i=0; i<fN; i++) { | |
383 | AliTPCcluster *c=clusters[i]; | |
384 | if (TMath::Abs(c->GetLabel(1)) == lab || | |
385 | TMath::Abs(c->GetLabel(2)) == lab ) max++; | |
386 | } | |
387 | ||
388 | SetLabel(-lab); | |
389 | if (1.-Float_t(max)/fN <= 0.10) { | |
390 | //Int_t tail=Int_t(0.08*fN); | |
391 | Int_t tail=14; | |
392 | max=0; | |
393 | for (i=1; i<=tail; i++) { | |
394 | AliTPCcluster *c=clusters[fN-i]; | |
395 | if (lab == TMath::Abs(c->GetLabel(0)) || | |
396 | lab == TMath::Abs(c->GetLabel(1)) || | |
397 | lab == TMath::Abs(c->GetLabel(2))) max++; | |
398 | } | |
399 | if (max >= Int_t(0.5*tail)) SetLabel(lab); | |
400 | } | |
401 | ||
402 | delete[] lb; | |
403 | delete[] mx; | |
404 | delete[] clusters; | |
405 | } | |
406 | ||
407 | //____________________________________________________________________________ | |
408 | void AliTPCtrack::Streamer(TBuffer &R__b) | |
409 | { | |
410 | //----------------------------------------------------- | |
411 | // This is AliTPCtrack streamer. | |
412 | //----------------------------------------------------- | |
413 | if (R__b.IsReading()) { | |
414 | Version_t R__v = R__b.ReadVersion(); if (R__v) { } | |
415 | TObject::Streamer(R__b); | |
416 | R__b >> fLab; | |
417 | R__b >> fChi2; | |
418 | R__b >> fdEdx; | |
419 | R__b >> fAlpha; | |
420 | R__b >> fX; | |
421 | R__b >> fY; | |
422 | R__b >> fZ; | |
423 | R__b >> fC; | |
424 | R__b >> fE; | |
425 | R__b >> fT; | |
426 | R__b >> fCyy; | |
427 | R__b >> fCzy; | |
428 | R__b >> fCzz; | |
429 | R__b >> fCcy; | |
430 | R__b >> fCcz; | |
431 | R__b >> fCcc; | |
432 | R__b >> fCey; | |
433 | R__b >> fCez; | |
434 | R__b >> fCec; | |
435 | R__b >> fCee; | |
436 | R__b >> fCty; | |
437 | R__b >> fCtz; | |
438 | R__b >> fCtc; | |
439 | R__b >> fCte; | |
440 | R__b >> fCtt; | |
441 | R__b >> fN; | |
442 | for (Int_t i=0; i<fN; i++) R__b >> fIndex[i]; | |
443 | } else { | |
444 | R__b.WriteVersion(AliTPCtrack::IsA()); | |
445 | TObject::Streamer(R__b); | |
446 | R__b << fLab; | |
447 | R__b << fChi2; | |
448 | R__b << fdEdx; | |
449 | R__b << fAlpha; | |
450 | R__b << fX; | |
451 | R__b << fY; | |
452 | R__b << fZ; | |
453 | R__b << fC; | |
454 | R__b << fE; | |
455 | R__b << fT; | |
456 | R__b << fCyy; | |
457 | R__b << fCzy; | |
458 | R__b << fCzz; | |
459 | R__b << fCcy; | |
460 | R__b << fCcz; | |
461 | R__b << fCcc; | |
462 | R__b << fCey; | |
463 | R__b << fCez; | |
464 | R__b << fCec; | |
465 | R__b << fCee; | |
466 | R__b << fCty; | |
467 | R__b << fCtz; | |
468 | R__b << fCtc; | |
469 | R__b << fCte; | |
470 | R__b << fCtt; | |
471 | R__b << fN; | |
472 | for (Int_t i=0; i<fN; i++) R__b << fIndex[i]; | |
473 | } | |
474 | } | |
475 | ||
476 |