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f826d409 | 1 | //--------------------------------------------------------------------------------- |
2 | // Implementation of the AliKFParticleBase class | |
3 | // . | |
4 | // @author S.Gorbunov, I.Kisel | |
5 | // @version 1.0 | |
6 | // @since 13.05.07 | |
7 | // | |
8 | // Class to reconstruct and store the decayed particle parameters. | |
9 | // The method is described in CBM-SOFT note 2007-003, | |
10 | // ``Reconstruction of decayed particles based on the Kalman filter'', | |
11 | // http://www.gsi.de/documents/DOC-2007-May-14-1.pdf | |
12 | // | |
13 | // This class describes general mathematics which is used by AliKFParticle class | |
14 | // | |
15 | // -= Copyright © ALICE HLT Group =- | |
16 | //_________________________________________________________________________________ | |
17 | ||
18 | ||
19 | #include "AliKFParticleBase.h" | |
20 | #include "TMath.h" | |
21 | ||
effa6338 | 22 | ClassImp(AliKFParticleBase) |
f826d409 | 23 | |
24 | ||
25 | AliKFParticleBase::AliKFParticleBase() :fQ(0), fNDF(-3), fChi2(0), fSFromDecay(0), fAtProductionVertex(0), fIsLinearized(0) | |
26 | { | |
27 | //* Constructor | |
28 | ||
29 | Initialize(); | |
30 | } | |
e7b09c95 | 31 | |
32 | void AliKFParticleBase::Initialize( const Double_t Param[], const Double_t Cov[], Int_t Charge, Double_t Mass ) | |
33 | { | |
34 | // Constructor from "cartesian" track, particle mass hypothesis should be provided | |
35 | // | |
36 | // Param[6] = { X, Y, Z, Px, Py, Pz } - position and momentum | |
37 | // Cov [21] = lower-triangular part of the covariance matrix: | |
38 | // | |
39 | // ( 0 . . . . . ) | |
40 | // ( 1 2 . . . . ) | |
41 | // Cov. matrix = ( 3 4 5 . . . ) - numbering of covariance elements in Cov[] | |
42 | // ( 6 7 8 9 . . ) | |
43 | // ( 10 11 12 13 14 . ) | |
44 | // ( 15 16 17 18 19 20 ) | |
45 | ||
46 | ||
47 | for( Int_t i=0; i<6 ; i++ ) fP[i] = Param[i]; | |
48 | for( Int_t i=0; i<21; i++ ) fC[i] = Cov[i]; | |
49 | ||
50 | Double_t energy = TMath::Sqrt( Mass*Mass + fP[3]*fP[3] + fP[4]*fP[4] + fP[5]*fP[5]); | |
51 | fP[6] = energy; | |
52 | fP[7] = 0; | |
53 | fQ = Charge; | |
54 | fNDF = 0; | |
55 | fChi2 = 0; | |
56 | fAtProductionVertex = 0; | |
57 | fIsLinearized = 0; | |
58 | fSFromDecay = 0; | |
59 | ||
60 | Double_t energyInv = 1./energy; | |
61 | Double_t | |
62 | h0 = fP[3]*energyInv, | |
63 | h1 = fP[4]*energyInv, | |
64 | h2 = fP[5]*energyInv; | |
65 | ||
66 | fC[21] = h0*fC[ 6] + h1*fC[10] + h2*fC[15]; | |
67 | fC[22] = h0*fC[ 7] + h1*fC[11] + h2*fC[16]; | |
68 | fC[23] = h0*fC[ 8] + h1*fC[12] + h2*fC[17]; | |
69 | fC[24] = h0*fC[ 9] + h1*fC[13] + h2*fC[18]; | |
70 | fC[25] = h0*fC[13] + h1*fC[14] + h2*fC[19]; | |
71 | fC[26] = h0*fC[18] + h1*fC[19] + h2*fC[20]; | |
706952f5 | 72 | fC[27] = ( h0*h0*fC[ 9] + h1*h1*fC[14] + h2*h2*fC[20] |
73 | + 2*(h0*h1*fC[13] + h0*h2*fC[18] + h1*h2*fC[19] ) ); | |
e7b09c95 | 74 | for( Int_t i=28; i<36; i++ ) fC[i] = 0; |
75 | fC[35] = 1.; | |
76 | } | |
77 | ||
f826d409 | 78 | void AliKFParticleBase::Initialize() |
79 | { | |
80 | //* Initialise covariance matrix and set current parameters to 0.0 | |
81 | ||
82 | for( Int_t i=0; i<8; i++) fP[i] = 0; | |
83 | for(Int_t i=0;i<36;++i) fC[i]=0.; | |
84 | fC[0] = fC[2] = fC[5] = 100.; | |
85 | fC[35] = 1.; | |
86 | fNDF = -3; | |
87 | fChi2 = 0.; | |
88 | fQ = 0; | |
89 | fSFromDecay = 0; | |
90 | fAtProductionVertex = 0; | |
91 | fVtxGuess[0]=fVtxGuess[1]=fVtxGuess[2]=0.; | |
92 | fIsLinearized = 0; | |
93 | } | |
94 | ||
95 | void AliKFParticleBase::SetVtxGuess( Double_t x, Double_t y, Double_t z ) | |
96 | { | |
97 | //* Set decay vertex parameters for linearisation | |
98 | ||
99 | fVtxGuess[0] = x; | |
100 | fVtxGuess[1] = y; | |
101 | fVtxGuess[2] = z; | |
102 | fIsLinearized = 1; | |
103 | } | |
104 | ||
105 | ||
5fc72f28 | 106 | Int_t AliKFParticleBase::GetMomentum( Double_t &p, Double_t &error ) const |
f826d409 | 107 | { |
108 | //* Calculate particle momentum | |
109 | ||
110 | Double_t x = fP[3]; | |
111 | Double_t y = fP[4]; | |
112 | Double_t z = fP[5]; | |
113 | Double_t x2 = x*x; | |
114 | Double_t y2 = y*y; | |
115 | Double_t z2 = z*z; | |
116 | Double_t p2 = x2+y2+z2; | |
5fc72f28 | 117 | p = TMath::Sqrt(p2); |
118 | error = (x2*fC[9]+y2*fC[14]+z2*fC[20] + 2*(x*y*fC[13]+x*z*fC[18]+y*z*fC[19]) ); | |
119 | if( error>0 && p>1.e-4 ){ | |
120 | error = TMath::Sqrt(error)/p; | |
f826d409 | 121 | return 0; |
122 | } | |
123 | return 1; | |
124 | } | |
125 | ||
5fc72f28 | 126 | Int_t AliKFParticleBase::GetPt( Double_t &pt, Double_t &error ) const |
706952f5 | 127 | { |
128 | //* Calculate particle transverse momentum | |
129 | ||
130 | Double_t px = fP[3]; | |
131 | Double_t py = fP[4]; | |
132 | Double_t px2 = px*px; | |
133 | Double_t py2 = py*py; | |
134 | Double_t pt2 = px2+py2; | |
5fc72f28 | 135 | pt = TMath::Sqrt(pt2); |
136 | error = (px2*fC[9] + py2*fC[14] + 2*px*py*fC[13] ); | |
137 | if( error>0 && pt>1.e-4 ){ | |
138 | error = TMath::Sqrt(error)/pt; | |
706952f5 | 139 | return 0; |
140 | } | |
5fc72f28 | 141 | error = 1.e10; |
706952f5 | 142 | return 1; |
143 | } | |
144 | ||
5fc72f28 | 145 | Int_t AliKFParticleBase::GetEta( Double_t &eta, Double_t &error ) const |
706952f5 | 146 | { |
147 | //* Calculate particle pseudorapidity | |
148 | ||
149 | Double_t px = fP[3]; | |
150 | Double_t py = fP[4]; | |
151 | Double_t pz = fP[5]; | |
152 | Double_t pt2 = px*px + py*py; | |
153 | Double_t p2 = pt2 + pz*pz; | |
154 | Double_t p = TMath::Sqrt(p2); | |
155 | Double_t a = p + pz; | |
156 | Double_t b = p - pz; | |
5fc72f28 | 157 | eta = 1.e10; |
706952f5 | 158 | if( b > 1.e-8 ){ |
159 | Double_t c = a/b; | |
5fc72f28 | 160 | if( c>1.e-8 ) eta = 0.5*TMath::Log(a/b); |
706952f5 | 161 | } |
162 | Double_t h3 = -px*pz; | |
163 | Double_t h4 = -py*pz; | |
164 | Double_t p2pt2 = p2*pt2; | |
165 | ||
5fc72f28 | 166 | error = (h3*h3*fC[9] + h4*h4*fC[14] + pt2*fC[20] + |
706952f5 | 167 | 2*( h3*(h4*fC[13] + fC[18]) + h4*fC[19] ) |
168 | ); | |
169 | ||
5fc72f28 | 170 | if( error>0 && p2pt2>1.e-4 ){ |
171 | error = TMath::Sqrt(error/p2pt2); | |
706952f5 | 172 | return 0; |
173 | } | |
5fc72f28 | 174 | error = 1.e10; |
706952f5 | 175 | return 1; |
176 | } | |
177 | ||
5fc72f28 | 178 | Int_t AliKFParticleBase::GetPhi( Double_t &phi, Double_t &error ) const |
706952f5 | 179 | { |
180 | //* Calculate particle polar angle | |
181 | ||
182 | Double_t px = fP[3]; | |
183 | Double_t py = fP[4]; | |
184 | Double_t px2 = px*px; | |
185 | Double_t py2 = py*py; | |
186 | Double_t pt2 = px2 + py2; | |
5fc72f28 | 187 | phi = TMath::ATan2(py,px); |
188 | error = (py2*fC[9] + px2*fC[14] - 2*px*py*fC[13] ); | |
189 | if( error>0 && pt2>1.e-4 ){ | |
190 | error = TMath::Sqrt(error)/pt2; | |
706952f5 | 191 | return 0; |
192 | } | |
5fc72f28 | 193 | error = 1.e10; |
706952f5 | 194 | return 1; |
195 | } | |
196 | ||
5fc72f28 | 197 | Int_t AliKFParticleBase::GetR( Double_t &r, Double_t &error ) const |
706952f5 | 198 | { |
199 | //* Calculate distance to the origin | |
200 | ||
201 | Double_t x = fP[0]; | |
202 | Double_t y = fP[1]; | |
203 | Double_t x2 = x*x; | |
204 | Double_t y2 = y*y; | |
5fc72f28 | 205 | r = TMath::Sqrt(x2 + y2); |
206 | error = (x2*fC[0] + y2*fC[2] - 2*x*y*fC[1] ); | |
207 | if( error>0 && r>1.e-4 ){ | |
208 | error = TMath::Sqrt(error)/r; | |
706952f5 | 209 | return 0; |
210 | } | |
5fc72f28 | 211 | error = 1.e10; |
706952f5 | 212 | return 1; |
213 | } | |
214 | ||
5fc72f28 | 215 | Int_t AliKFParticleBase::GetMass( Double_t &m, Double_t &error ) const |
f826d409 | 216 | { |
217 | //* Calculate particle mass | |
218 | ||
219 | // s = sigma^2 of m2/2 | |
220 | ||
221 | Double_t s = ( fP[3]*fP[3]*fC[9] + fP[4]*fP[4]*fC[14] + fP[5]*fP[5]*fC[20] | |
222 | + fP[6]*fP[6]*fC[27] | |
223 | +2*( + fP[3]*fP[4]*fC[13] + fP[5]*(fP[3]*fC[18] + fP[4]*fC[19]) | |
224 | - fP[6]*( fP[3]*fC[24] + fP[4]*fC[25] + fP[5]*fC[26] ) ) | |
225 | ); | |
706952f5 | 226 | Double_t m2 = TMath::Abs(fP[6]*fP[6] - fP[3]*fP[3] - fP[4]*fP[4] - fP[5]*fP[5]); |
5fc72f28 | 227 | m = TMath::Sqrt(m2); |
228 | if( m>1.e-10 ){ | |
616ffc76 | 229 | if( s>=0 ){ |
5fc72f28 | 230 | error = TMath::Sqrt(s)/m; |
616ffc76 | 231 | return 0; |
232 | } | |
f826d409 | 233 | } |
5fc72f28 | 234 | error = 1.e20; |
f826d409 | 235 | return 1; |
236 | } | |
237 | ||
238 | ||
5fc72f28 | 239 | Int_t AliKFParticleBase::GetDecayLength( Double_t &l, Double_t &error ) const |
f826d409 | 240 | { |
241 | //* Calculate particle decay length [cm] | |
242 | ||
243 | Double_t x = fP[3]; | |
244 | Double_t y = fP[4]; | |
245 | Double_t z = fP[5]; | |
246 | Double_t t = fP[7]; | |
247 | Double_t x2 = x*x; | |
248 | Double_t y2 = y*y; | |
249 | Double_t z2 = z*z; | |
250 | Double_t p2 = x2+y2+z2; | |
5fc72f28 | 251 | l = t*TMath::Sqrt(p2); |
f826d409 | 252 | if( p2>1.e-4){ |
5fc72f28 | 253 | error = p2*fC[35] + t*t/p2*(x2*fC[9]+y2*fC[14]+z2*fC[20] |
f826d409 | 254 | + 2*(x*y*fC[13]+x*z*fC[18]+y*z*fC[19]) ) |
255 | + 2*t*(x*fC[31]+y*fC[32]+z*fC[33]); | |
5fc72f28 | 256 | error = TMath::Sqrt(TMath::Abs(error)); |
f826d409 | 257 | return 0; |
258 | } | |
5fc72f28 | 259 | error = 1.e20; |
f826d409 | 260 | return 1; |
261 | } | |
262 | ||
5fc72f28 | 263 | Int_t AliKFParticleBase::GetLifeTime( Double_t &tauC, Double_t &error ) const |
f826d409 | 264 | { |
265 | //* Calculate particle decay time [s] | |
266 | ||
267 | Double_t m, dm; | |
268 | GetMass( m, dm ); | |
269 | Double_t cTM = (-fP[3]*fC[31] - fP[4]*fC[32] - fP[5]*fC[33] + fP[6]*fC[34]); | |
5fc72f28 | 270 | tauC = fP[7]*m; |
271 | error = m*m*fC[35] + 2*fP[7]*cTM + fP[7]*fP[7]*dm*dm; | |
272 | if( error > 0 ){ | |
273 | error = TMath::Sqrt( error ); | |
f826d409 | 274 | return 0; |
275 | } | |
5fc72f28 | 276 | error = 1.e20; |
f826d409 | 277 | return 1; |
278 | } | |
279 | ||
280 | ||
281 | void AliKFParticleBase::operator +=( const AliKFParticleBase &Daughter ) | |
282 | { | |
283 | //* Add daughter via operator+= | |
284 | ||
285 | AddDaughter( Daughter ); | |
286 | } | |
287 | ||
706952f5 | 288 | Double_t AliKFParticleBase::GetSCorrection( const Double_t Part[], const Double_t XYZ[] ) |
289 | { | |
290 | //* Get big enough correction for S error to let the particle Part be fitted to XYZ point | |
291 | ||
292 | Double_t d[3] = { XYZ[0]-Part[0], XYZ[1]-Part[1], XYZ[2]-Part[2] }; | |
293 | Double_t p2 = Part[3]*Part[3]+Part[4]*Part[4]+Part[5]*Part[5]; | |
294 | Double_t sigmaS = (p2>1.e-4) ? ( .1+3.*TMath::Sqrt( d[0]*d[0]+d[1]*d[1]+d[2]*d[2]) )/TMath::Sqrt(p2) : 1.; | |
295 | return sigmaS; | |
296 | } | |
616ffc76 | 297 | |
298 | void AliKFParticleBase::GetMeasurement( const Double_t XYZ[], Double_t m[], Double_t V[] ) const | |
299 | { | |
e7b09c95 | 300 | //* Get additional covariances V used during measurement |
301 | ||
616ffc76 | 302 | Double_t b[3]; |
303 | GetFieldValue( XYZ, b ); | |
304 | const Double_t kCLight = 0.000299792458; | |
305 | b[0]*=kCLight; b[1]*=kCLight; b[2]*=kCLight; | |
306 | ||
307 | Transport( GetDStoPoint(XYZ), m, V ); | |
308 | ||
706952f5 | 309 | Double_t sigmaS = GetSCorrection( m, XYZ ); |
616ffc76 | 310 | |
311 | Double_t h[6]; | |
312 | ||
313 | h[0] = m[3]*sigmaS; | |
314 | h[1] = m[4]*sigmaS; | |
315 | h[2] = m[5]*sigmaS; | |
316 | h[3] = ( h[1]*b[2]-h[2]*b[1] )*GetQ(); | |
317 | h[4] = ( h[2]*b[0]-h[0]*b[2] )*GetQ(); | |
318 | h[5] = ( h[0]*b[1]-h[1]*b[0] )*GetQ(); | |
319 | ||
616ffc76 | 320 | V[ 0]+= h[0]*h[0]; |
321 | V[ 1]+= h[1]*h[0]; | |
322 | V[ 2]+= h[1]*h[1]; | |
323 | V[ 3]+= h[2]*h[0]; | |
324 | V[ 4]+= h[2]*h[1]; | |
325 | V[ 5]+= h[2]*h[2]; | |
326 | ||
327 | V[ 6]+= h[3]*h[0]; | |
328 | V[ 7]+= h[3]*h[1]; | |
329 | V[ 8]+= h[3]*h[2]; | |
330 | V[ 9]+= h[3]*h[3]; | |
331 | ||
332 | V[10]+= h[4]*h[0]; | |
333 | V[11]+= h[4]*h[1]; | |
334 | V[12]+= h[4]*h[2]; | |
335 | V[13]+= h[4]*h[3]; | |
336 | V[14]+= h[4]*h[4]; | |
337 | ||
338 | V[15]+= h[5]*h[0]; | |
339 | V[16]+= h[5]*h[1]; | |
340 | V[17]+= h[5]*h[2]; | |
341 | V[18]+= h[5]*h[3]; | |
342 | V[19]+= h[5]*h[4]; | |
343 | V[20]+= h[5]*h[5]; | |
344 | } | |
345 | ||
616ffc76 | 346 | |
f826d409 | 347 | void AliKFParticleBase::AddDaughter( const AliKFParticleBase &Daughter ) |
348 | { | |
349 | //* Add daughter | |
350 | ||
616ffc76 | 351 | if( fNDF<-1 ){ // first daughter -> just copy |
352 | fNDF = -1; | |
353 | fQ = Daughter.GetQ(); | |
354 | for( Int_t i=0; i<7; i++) fP[i] = Daughter.fP[i]; | |
355 | for( Int_t i=0; i<28; i++) fC[i] = Daughter.fC[i]; | |
356 | fSFromDecay = 0; | |
357 | return; | |
358 | } | |
359 | ||
f826d409 | 360 | TransportToDecayVertex(); |
361 | ||
362 | Double_t b[3]; | |
363 | Int_t maxIter = 1; | |
364 | ||
365 | if( !fIsLinearized ){ | |
366 | if( fNDF==-1 ){ | |
367 | Double_t ds, ds1; | |
616ffc76 | 368 | GetDStoParticle(Daughter, ds, ds1); |
f826d409 | 369 | TransportToDS( ds ); |
616ffc76 | 370 | Double_t m[8]; |
371 | Double_t mCd[36]; | |
372 | Daughter.Transport( ds1, m, mCd ); | |
373 | fVtxGuess[0] = .5*( fP[0] + m[0] ); | |
374 | fVtxGuess[1] = .5*( fP[1] + m[1] ); | |
375 | fVtxGuess[2] = .5*( fP[2] + m[2] ); | |
376 | } else { | |
377 | fVtxGuess[0] = fP[0]; | |
378 | fVtxGuess[1] = fP[1]; | |
379 | fVtxGuess[2] = fP[2]; | |
f826d409 | 380 | } |
f826d409 | 381 | maxIter = 3; |
382 | } | |
383 | ||
384 | for( Int_t iter=0; iter<maxIter; iter++ ){ | |
385 | ||
386 | { | |
387 | GetFieldValue( fVtxGuess, b ); | |
388 | const Double_t kCLight = 0.000299792458; | |
389 | b[0]*=kCLight; b[1]*=kCLight; b[2]*=kCLight; | |
390 | } | |
f826d409 | 391 | |
616ffc76 | 392 | Double_t *ffP = fP, *ffC = fC, tmpP[8], tmpC[36]; |
393 | if( fNDF==-1 ){ | |
394 | GetMeasurement( fVtxGuess, tmpP, tmpC ); | |
395 | ffP = tmpP; | |
396 | ffC = tmpC; | |
f826d409 | 397 | } |
398 | ||
e7b09c95 | 399 | Double_t m[8], mV[36]; |
400 | if( Daughter.fC[35]>0 ){ | |
401 | Daughter.GetMeasurement( fVtxGuess, m, mV ); | |
402 | } else { | |
403 | for( Int_t i=0; i<8; i++ ) m[i] = Daughter.fP[i]; | |
404 | for( Int_t i=0; i<36; i++ ) mV[i] = Daughter.fC[i]; | |
405 | } | |
406 | ||
f826d409 | 407 | //* |
408 | ||
409 | Double_t mS[6]; | |
410 | { | |
616ffc76 | 411 | Double_t mSi[6] = { ffC[0]+mV[0], |
412 | ffC[1]+mV[1], ffC[2]+mV[2], | |
413 | ffC[3]+mV[3], ffC[4]+mV[4], ffC[5]+mV[5] }; | |
f826d409 | 414 | |
415 | mS[0] = mSi[2]*mSi[5] - mSi[4]*mSi[4]; | |
416 | mS[1] = mSi[3]*mSi[4] - mSi[1]*mSi[5]; | |
417 | mS[2] = mSi[0]*mSi[5] - mSi[3]*mSi[3]; | |
418 | mS[3] = mSi[1]*mSi[4] - mSi[2]*mSi[3]; | |
419 | mS[4] = mSi[1]*mSi[3] - mSi[0]*mSi[4]; | |
420 | mS[5] = mSi[0]*mSi[2] - mSi[1]*mSi[1]; | |
421 | ||
706952f5 | 422 | Double_t s = ( mSi[0]*mS[0] + mSi[1]*mS[1] + mSi[3]*mS[3] ); |
423 | ||
f826d409 | 424 | s = ( s > 1.E-20 ) ?1./s :0; |
425 | mS[0]*=s; | |
426 | mS[1]*=s; | |
427 | mS[2]*=s; | |
428 | mS[3]*=s; | |
429 | mS[4]*=s; | |
430 | mS[5]*=s; | |
431 | } | |
432 | ||
433 | //* Residual (measured - estimated) | |
434 | ||
616ffc76 | 435 | Double_t zeta[3] = { m[0]-ffP[0], m[1]-ffP[1], m[2]-ffP[2] }; |
f826d409 | 436 | |
437 | //* CHt = CH' - D' | |
438 | ||
439 | Double_t mCHt0[7], mCHt1[7], mCHt2[7]; | |
440 | ||
616ffc76 | 441 | mCHt0[0]=ffC[ 0] ; mCHt1[0]=ffC[ 1] ; mCHt2[0]=ffC[ 3] ; |
442 | mCHt0[1]=ffC[ 1] ; mCHt1[1]=ffC[ 2] ; mCHt2[1]=ffC[ 4] ; | |
443 | mCHt0[2]=ffC[ 3] ; mCHt1[2]=ffC[ 4] ; mCHt2[2]=ffC[ 5] ; | |
444 | mCHt0[3]=ffC[ 6]-mV[ 6]; mCHt1[3]=ffC[ 7]-mV[ 7]; mCHt2[3]=ffC[ 8]-mV[ 8]; | |
445 | mCHt0[4]=ffC[10]-mV[10]; mCHt1[4]=ffC[11]-mV[11]; mCHt2[4]=ffC[12]-mV[12]; | |
446 | mCHt0[5]=ffC[15]-mV[15]; mCHt1[5]=ffC[16]-mV[16]; mCHt2[5]=ffC[17]-mV[17]; | |
447 | mCHt0[6]=ffC[21]-mV[21]; mCHt1[6]=ffC[22]-mV[22]; mCHt2[6]=ffC[23]-mV[23]; | |
f826d409 | 448 | |
449 | //* Kalman gain K = mCH'*S | |
450 | ||
451 | Double_t k0[7], k1[7], k2[7]; | |
452 | ||
453 | for(Int_t i=0;i<7;++i){ | |
454 | k0[i] = mCHt0[i]*mS[0] + mCHt1[i]*mS[1] + mCHt2[i]*mS[3]; | |
455 | k1[i] = mCHt0[i]*mS[1] + mCHt1[i]*mS[2] + mCHt2[i]*mS[4]; | |
456 | k2[i] = mCHt0[i]*mS[3] + mCHt1[i]*mS[4] + mCHt2[i]*mS[5]; | |
457 | } | |
458 | ||
4bbc290d | 459 | //* New estimation of the vertex position |
f826d409 | 460 | |
461 | if( iter<maxIter-1 ){ | |
462 | for(Int_t i=0; i<3; ++i) | |
616ffc76 | 463 | fVtxGuess[i]= ffP[i] + k0[i]*zeta[0]+k1[i]*zeta[1]+k2[i]*zeta[2]; |
f826d409 | 464 | continue; |
465 | } | |
466 | ||
467 | // last itearation -> update the particle | |
468 | ||
469 | //* Add the daughter momentum to the particle momentum | |
470 | ||
616ffc76 | 471 | ffP[ 3] += m[ 3]; |
472 | ffP[ 4] += m[ 4]; | |
473 | ffP[ 5] += m[ 5]; | |
474 | ffP[ 6] += m[ 6]; | |
f826d409 | 475 | |
616ffc76 | 476 | ffC[ 9] += mV[ 9]; |
477 | ffC[13] += mV[13]; | |
478 | ffC[14] += mV[14]; | |
479 | ffC[18] += mV[18]; | |
480 | ffC[19] += mV[19]; | |
481 | ffC[20] += mV[20]; | |
482 | ffC[24] += mV[24]; | |
483 | ffC[25] += mV[25]; | |
484 | ffC[26] += mV[26]; | |
485 | ffC[27] += mV[27]; | |
f826d409 | 486 | |
487 | //* New estimation of the vertex position r += K*zeta | |
488 | ||
489 | for(Int_t i=0;i<7;++i) | |
616ffc76 | 490 | fP[i] = ffP[i] + k0[i]*zeta[0] + k1[i]*zeta[1] + k2[i]*zeta[2]; |
f826d409 | 491 | |
492 | //* New covariance matrix C -= K*(mCH')' | |
4bbc290d | 493 | |
f826d409 | 494 | for(Int_t i=0, k=0;i<7;++i){ |
495 | for(Int_t j=0;j<=i;++j,++k) | |
616ffc76 | 496 | fC[k] = ffC[k] - (k0[i]*mCHt0[j] + k1[i]*mCHt1[j] + k2[i]*mCHt2[j] ); |
f826d409 | 497 | } |
498 | ||
499 | //* Calculate Chi^2 | |
500 | ||
501 | fNDF += 2; | |
502 | fQ += Daughter.GetQ(); | |
503 | fSFromDecay = 0; | |
504 | fChi2 += (mS[0]*zeta[0] + mS[1]*zeta[1] + mS[3]*zeta[2])*zeta[0] | |
505 | + (mS[1]*zeta[0] + mS[2]*zeta[1] + mS[4]*zeta[2])*zeta[1] | |
706952f5 | 506 | + (mS[3]*zeta[0] + mS[4]*zeta[1] + mS[5]*zeta[2])*zeta[2]; |
f826d409 | 507 | } |
508 | } | |
509 | ||
706952f5 | 510 | |
f826d409 | 511 | void AliKFParticleBase::SetProductionVertex( const AliKFParticleBase &Vtx ) |
512 | { | |
706952f5 | 513 | //* Set production vertex for the particle, when the particle was not used in the vertex fit |
f826d409 | 514 | |
515 | const Double_t *m = Vtx.fP, *mV = Vtx.fC; | |
516 | ||
e7b09c95 | 517 | Bool_t noS = ( fC[35]<=0 ); // no decay length allowed |
518 | ||
519 | if( noS ){ | |
520 | TransportToDecayVertex(); | |
521 | fP[7] = 0; | |
522 | fC[28] = fC[29] = fC[30] = fC[31] = fC[32] = fC[33] = fC[35] = fC[35] = 0; | |
523 | } else { | |
524 | TransportToDS( GetDStoPoint( m ) ); | |
525 | fP[7] = -fSFromDecay; | |
526 | Convert(1); | |
527 | } | |
528 | ||
f826d409 | 529 | Double_t mAi[6]; |
706952f5 | 530 | mAi[0] = fC[2]*fC[5] - fC[4]*fC[4]; |
531 | mAi[1] = fC[3]*fC[4] - fC[1]*fC[5]; | |
532 | mAi[3] = fC[1]*fC[4] - fC[2]*fC[3]; | |
533 | Double_t det = (fC[0]*mAi[0] + fC[1]*mAi[1] + fC[3]*mAi[3]); | |
aac1d51b | 534 | if( det>1.e-20 ) det = 1./det; |
706952f5 | 535 | else det = 0; |
536 | ||
f826d409 | 537 | mAi[0] *= det; |
538 | mAi[1] *= det; | |
539 | mAi[3] *= det; | |
aac1d51b | 540 | mAi[2] = ( fC[0]*fC[5] - fC[3]*fC[3] )*det; |
541 | mAi[4] = ( fC[1]*fC[3] - fC[0]*fC[4] )*det; | |
542 | mAi[5] = ( fC[0]*fC[2] - fC[1]*fC[1] )*det; | |
f826d409 | 543 | |
544 | Double_t mB[5][3]; | |
545 | ||
546 | mB[0][0] = fC[ 6]*mAi[0] + fC[ 7]*mAi[1] + fC[ 8]*mAi[3]; | |
547 | mB[0][1] = fC[ 6]*mAi[1] + fC[ 7]*mAi[2] + fC[ 8]*mAi[4]; | |
548 | mB[0][2] = fC[ 6]*mAi[3] + fC[ 7]*mAi[4] + fC[ 8]*mAi[5]; | |
549 | ||
550 | mB[1][0] = fC[10]*mAi[0] + fC[11]*mAi[1] + fC[12]*mAi[3]; | |
551 | mB[1][1] = fC[10]*mAi[1] + fC[11]*mAi[2] + fC[12]*mAi[4]; | |
552 | mB[1][2] = fC[10]*mAi[3] + fC[11]*mAi[4] + fC[12]*mAi[5]; | |
553 | ||
554 | mB[2][0] = fC[15]*mAi[0] + fC[16]*mAi[1] + fC[17]*mAi[3]; | |
555 | mB[2][1] = fC[15]*mAi[1] + fC[16]*mAi[2] + fC[17]*mAi[4]; | |
556 | mB[2][2] = fC[15]*mAi[3] + fC[16]*mAi[4] + fC[17]*mAi[5]; | |
557 | ||
558 | mB[3][0] = fC[21]*mAi[0] + fC[22]*mAi[1] + fC[23]*mAi[3]; | |
559 | mB[3][1] = fC[21]*mAi[1] + fC[22]*mAi[2] + fC[23]*mAi[4]; | |
560 | mB[3][2] = fC[21]*mAi[3] + fC[22]*mAi[4] + fC[23]*mAi[5]; | |
561 | ||
562 | mB[4][0] = fC[28]*mAi[0] + fC[29]*mAi[1] + fC[30]*mAi[3]; | |
563 | mB[4][1] = fC[28]*mAi[1] + fC[29]*mAi[2] + fC[30]*mAi[4]; | |
564 | mB[4][2] = fC[28]*mAi[3] + fC[29]*mAi[4] + fC[30]*mAi[5]; | |
565 | ||
566 | Double_t z[3] = { m[0]-fP[0], m[1]-fP[1], m[2]-fP[2] }; | |
567 | ||
568 | { | |
569 | Double_t mAV[6] = { fC[0]-mV[0], fC[1]-mV[1], fC[2]-mV[2], | |
570 | fC[3]-mV[3], fC[4]-mV[4], fC[5]-mV[5] }; | |
706952f5 | 571 | |
f826d409 | 572 | Double_t mAVi[6]; |
706952f5 | 573 | mAVi[0] = mAV[2]*mAV[5] - mAV[4]*mAV[4]; |
574 | mAVi[1] = mAV[3]*mAV[4] - mAV[1]*mAV[5]; | |
575 | mAVi[2] = mAV[0]*mAV[5] - mAV[3]*mAV[3]; | |
576 | mAVi[3] = mAV[1]*mAV[4] - mAV[2]*mAV[3]; | |
577 | mAVi[4] = mAV[1]*mAV[3] - mAV[0]*mAV[4]; | |
578 | mAVi[5] = mAV[0]*mAV[2] - mAV[1]*mAV[1]; | |
f826d409 | 579 | |
e7b09c95 | 580 | det = ( mAV[0]*mAVi[0] + mAV[1]*mAVi[1] + mAV[3]*mAVi[3] ); |
f826d409 | 581 | |
aac1d51b | 582 | if( TMath::Abs(det) > 1.E-20 ){ |
706952f5 | 583 | |
584 | Double_t dChi2 = ( +(mAVi[0]*z[0] + mAVi[1]*z[1] + mAVi[3]*z[2])*z[0] | |
585 | +(mAVi[1]*z[0] + mAVi[2]*z[1] + mAVi[4]*z[2])*z[1] | |
586 | +(mAVi[3]*z[0] + mAVi[4]*z[1] + mAVi[5]*z[2])*z[2] )/det ; | |
587 | ||
588 | // Take Abs(dChi2) here. Negative value of 'det' or 'dChi2' shows that the particle | |
589 | // was not used in the production vertex fit | |
590 | ||
591 | fChi2+= TMath::Abs( dChi2 ); | |
592 | } | |
f826d409 | 593 | fNDF += 2; |
f826d409 | 594 | } |
595 | ||
596 | fP[0] = m[0]; | |
597 | fP[1] = m[1]; | |
598 | fP[2] = m[2]; | |
599 | fP[3]+= mB[0][0]*z[0] + mB[0][1]*z[1] + mB[0][2]*z[2]; | |
600 | fP[4]+= mB[1][0]*z[0] + mB[1][1]*z[1] + mB[1][2]*z[2]; | |
601 | fP[5]+= mB[2][0]*z[0] + mB[2][1]*z[1] + mB[2][2]*z[2]; | |
602 | fP[6]+= mB[3][0]*z[0] + mB[3][1]*z[1] + mB[3][2]*z[2]; | |
603 | fP[7]+= mB[4][0]*z[0] + mB[4][1]*z[1] + mB[4][2]*z[2]; | |
604 | ||
605 | Double_t d0, d1, d2; | |
606 | ||
607 | fC[0] = mV[0]; | |
608 | fC[1] = mV[1]; | |
609 | fC[2] = mV[2]; | |
610 | fC[3] = mV[3]; | |
611 | fC[4] = mV[4]; | |
612 | fC[5] = mV[5]; | |
613 | ||
614 | d0= mB[0][0]*mV[0] + mB[0][1]*mV[1] + mB[0][2]*mV[3] - fC[ 6]; | |
615 | d1= mB[0][0]*mV[1] + mB[0][1]*mV[2] + mB[0][2]*mV[4] - fC[ 7]; | |
616 | d2= mB[0][0]*mV[3] + mB[0][1]*mV[4] + mB[0][2]*mV[5] - fC[ 8]; | |
617 | ||
618 | fC[ 6]+= d0; | |
619 | fC[ 7]+= d1; | |
620 | fC[ 8]+= d2; | |
621 | fC[ 9]+= d0*mB[0][0] + d1*mB[0][1] + d2*mB[0][2]; | |
622 | ||
623 | d0= mB[1][0]*mV[0] + mB[1][1]*mV[1] + mB[1][2]*mV[3] - fC[10]; | |
624 | d1= mB[1][0]*mV[1] + mB[1][1]*mV[2] + mB[1][2]*mV[4] - fC[11]; | |
625 | d2= mB[1][0]*mV[3] + mB[1][1]*mV[4] + mB[1][2]*mV[5] - fC[12]; | |
626 | ||
627 | fC[10]+= d0; | |
628 | fC[11]+= d1; | |
629 | fC[12]+= d2; | |
630 | fC[13]+= d0*mB[0][0] + d1*mB[0][1] + d2*mB[0][2]; | |
631 | fC[14]+= d0*mB[1][0] + d1*mB[1][1] + d2*mB[1][2]; | |
632 | ||
633 | d0= mB[2][0]*mV[0] + mB[2][1]*mV[1] + mB[2][2]*mV[3] - fC[15]; | |
634 | d1= mB[2][0]*mV[1] + mB[2][1]*mV[2] + mB[2][2]*mV[4] - fC[16]; | |
635 | d2= mB[2][0]*mV[3] + mB[2][1]*mV[4] + mB[2][2]*mV[5] - fC[17]; | |
636 | ||
637 | fC[15]+= d0; | |
638 | fC[16]+= d1; | |
639 | fC[17]+= d2; | |
640 | fC[18]+= d0*mB[0][0] + d1*mB[0][1] + d2*mB[0][2]; | |
641 | fC[19]+= d0*mB[1][0] + d1*mB[1][1] + d2*mB[1][2]; | |
642 | fC[20]+= d0*mB[2][0] + d1*mB[2][1] + d2*mB[2][2]; | |
643 | ||
644 | d0= mB[3][0]*mV[0] + mB[3][1]*mV[1] + mB[3][2]*mV[3] - fC[21]; | |
645 | d1= mB[3][0]*mV[1] + mB[3][1]*mV[2] + mB[3][2]*mV[4] - fC[22]; | |
646 | d2= mB[3][0]*mV[3] + mB[3][1]*mV[4] + mB[3][2]*mV[5] - fC[23]; | |
647 | ||
648 | fC[21]+= d0; | |
649 | fC[22]+= d1; | |
650 | fC[23]+= d2; | |
651 | fC[24]+= d0*mB[0][0] + d1*mB[0][1] + d2*mB[0][2]; | |
652 | fC[25]+= d0*mB[1][0] + d1*mB[1][1] + d2*mB[1][2]; | |
653 | fC[26]+= d0*mB[2][0] + d1*mB[2][1] + d2*mB[2][2]; | |
654 | fC[27]+= d0*mB[3][0] + d1*mB[3][1] + d2*mB[3][2]; | |
655 | ||
656 | d0= mB[4][0]*mV[0] + mB[4][1]*mV[1] + mB[4][2]*mV[3] - fC[28]; | |
657 | d1= mB[4][0]*mV[1] + mB[4][1]*mV[2] + mB[4][2]*mV[4] - fC[29]; | |
658 | d2= mB[4][0]*mV[3] + mB[4][1]*mV[4] + mB[4][2]*mV[5] - fC[30]; | |
659 | ||
660 | fC[28]+= d0; | |
661 | fC[29]+= d1; | |
662 | fC[30]+= d2; | |
663 | fC[31]+= d0*mB[0][0] + d1*mB[0][1] + d2*mB[0][2]; | |
664 | fC[32]+= d0*mB[1][0] + d1*mB[1][1] + d2*mB[1][2]; | |
665 | fC[33]+= d0*mB[2][0] + d1*mB[2][1] + d2*mB[2][2]; | |
666 | fC[34]+= d0*mB[3][0] + d1*mB[3][1] + d2*mB[3][2]; | |
667 | fC[35]+= d0*mB[4][0] + d1*mB[4][1] + d2*mB[4][2]; | |
668 | ||
e7b09c95 | 669 | if( noS ){ |
670 | fP[7] = 0; | |
671 | fC[28] = fC[29] = fC[30] = fC[31] = fC[32] = fC[33] = fC[35] = fC[35] = 0; | |
672 | } else { | |
673 | TransportToDS( fP[7] ); | |
674 | Convert(0); | |
675 | } | |
676 | ||
f826d409 | 677 | fSFromDecay = 0; |
f826d409 | 678 | } |
679 | ||
680 | ||
681 | ||
e7b09c95 | 682 | void AliKFParticleBase::SetMassConstraint( Double_t Mass, Double_t SigmaMass ) |
f826d409 | 683 | { |
706952f5 | 684 | //* Set hard( SigmaMass=0 ) or soft (SigmaMass>0) mass constraint |
685 | ||
686 | Double_t m2 = Mass*Mass; // measurement, weighted by Mass | |
687 | Double_t s2 = m2*SigmaMass*SigmaMass; // sigma^2 | |
688 | ||
689 | Double_t p2 = fP[3]*fP[3] + fP[4]*fP[4] + fP[5]*fP[5]; | |
690 | Double_t e0 = TMath::Sqrt(m2+p2); | |
f826d409 | 691 | |
692 | Double_t mH[8]; | |
693 | mH[0] = mH[1] = mH[2] = 0.; | |
694 | mH[3] = -2*fP[3]; | |
695 | mH[4] = -2*fP[4]; | |
696 | mH[5] = -2*fP[5]; | |
706952f5 | 697 | mH[6] = 2*fP[6];//e0; |
f826d409 | 698 | mH[7] = 0; |
f826d409 | 699 | |
706952f5 | 700 | Double_t zeta = e0*e0 - e0*fP[6]; |
701 | zeta = m2 - (fP[6]*fP[6]-p2); | |
f826d409 | 702 | |
706952f5 | 703 | Double_t mCHt[8], s2_est=0; |
704 | for( Int_t i=0; i<8; ++i ){ | |
f826d409 | 705 | mCHt[i] = 0.0; |
706 | for (Int_t j=0;j<8;++j) mCHt[i] += Cij(i,j)*mH[j]; | |
706952f5 | 707 | s2_est += mH[i]*mCHt[i]; |
f826d409 | 708 | } |
709 | ||
706952f5 | 710 | if( s2_est<1.e-20 ) return; // calculated mass error is already 0, |
711 | // the particle can not be constrained on mass | |
712 | ||
713 | Double_t w2 = 1./( s2 + s2_est ); | |
714 | fChi2 += zeta*zeta*w2; | |
f826d409 | 715 | fNDF += 1; |
716 | for( Int_t i=0, ii=0; i<8; ++i ){ | |
706952f5 | 717 | Double_t ki = mCHt[i]*w2; |
f826d409 | 718 | fP[i]+= ki*zeta; |
719 | for(Int_t j=0;j<=i;++j) fC[ii++] -= ki*mCHt[j]; | |
720 | } | |
721 | } | |
722 | ||
723 | ||
e7b09c95 | 724 | void AliKFParticleBase::SetNoDecayLength() |
725 | { | |
726 | //* Set no decay length for resonances | |
727 | ||
728 | TransportToDecayVertex(); | |
729 | ||
730 | Double_t h[8]; | |
731 | h[0] = h[1] = h[2] = h[3] = h[4] = h[5] = h[6] = 0; | |
732 | h[7] = 1; | |
733 | ||
734 | Double_t zeta = 0 - fP[7]; | |
735 | for(Int_t i=0;i<8;++i) zeta -= h[i]*(fP[i]-fP[i]); | |
736 | ||
737 | Double_t s = fC[35]; | |
738 | if( s>1.e-20 ){ | |
739 | s = 1./s; | |
740 | fChi2 += zeta*zeta*s; | |
741 | fNDF += 1; | |
742 | for( Int_t i=0, ii=0; i<7; ++i ){ | |
743 | Double_t ki = fC[28+i]*s; | |
744 | fP[i]+= ki*zeta; | |
745 | for(Int_t j=0;j<=i;++j) fC[ii++] -= ki*fC[28+j]; | |
746 | } | |
747 | } | |
748 | fP[7] = 0; | |
749 | fC[28] = fC[29] = fC[30] = fC[31] = fC[32] = fC[33] = fC[35] = fC[35] = 0; | |
750 | } | |
751 | ||
752 | ||
f826d409 | 753 | void AliKFParticleBase::Construct( const AliKFParticleBase* vDaughters[], Int_t NDaughters, |
706952f5 | 754 | const AliKFParticleBase *Parent, Double_t Mass, Bool_t IsConstrained ) |
f826d409 | 755 | { |
756 | //* Full reconstruction in one go | |
757 | ||
758 | Int_t maxIter = 1; | |
759 | bool wasLinearized = fIsLinearized; | |
706952f5 | 760 | if( !fIsLinearized || IsConstrained ){ |
616ffc76 | 761 | //fVtxGuess[0] = fVtxGuess[1] = fVtxGuess[2] = 0; //!!!! |
762 | fVtxGuess[0] = GetX(); | |
763 | fVtxGuess[1] = GetY(); | |
764 | fVtxGuess[2] = GetZ(); | |
f826d409 | 765 | fIsLinearized = 1; |
766 | maxIter = 3; | |
767 | } | |
768 | ||
706952f5 | 769 | Double_t constraintC[6]; |
770 | ||
771 | if( IsConstrained ){ | |
772 | for(Int_t i=0;i<6;++i) constraintC[i]=fC[i]; | |
773 | } else { | |
774 | for(Int_t i=0;i<6;++i) constraintC[i]=0.; | |
775 | constraintC[0] = constraintC[2] = constraintC[5] = 100.; | |
776 | } | |
777 | ||
778 | ||
f826d409 | 779 | for( Int_t iter=0; iter<maxIter; iter++ ){ |
f826d409 | 780 | fAtProductionVertex = 0; |
781 | fSFromDecay = 0; | |
782 | fP[0] = fVtxGuess[0]; | |
783 | fP[1] = fVtxGuess[1]; | |
784 | fP[2] = fVtxGuess[2]; | |
785 | fP[3] = 0; | |
786 | fP[4] = 0; | |
787 | fP[5] = 0; | |
788 | fP[6] = 0; | |
789 | fP[7] = 0; | |
706952f5 | 790 | |
791 | for(Int_t i=0;i<6; ++i) fC[i]=constraintC[i]; | |
792 | for(Int_t i=6;i<36;++i) fC[i]=0.; | |
f826d409 | 793 | fC[35] = 1.; |
794 | ||
706952f5 | 795 | fNDF = IsConstrained ?0 :-3; |
f826d409 | 796 | fChi2 = 0.; |
797 | fQ = 0; | |
798 | ||
4bbc290d | 799 | for( Int_t itr =0; itr<NDaughters; itr++ ){ |
800 | AddDaughter( *vDaughters[itr] ); | |
801 | } | |
f826d409 | 802 | if( iter<maxIter-1){ |
803 | for( Int_t i=0; i<3; i++ ) fVtxGuess[i] = fP[i]; | |
804 | } | |
805 | } | |
806 | fIsLinearized = wasLinearized; | |
807 | ||
808 | if( Mass>=0 ) SetMassConstraint( Mass ); | |
809 | if( Parent ) SetProductionVertex( *Parent ); | |
810 | } | |
811 | ||
812 | ||
813 | void AliKFParticleBase::Convert( bool ToProduction ) | |
814 | { | |
815 | //* Tricky function - convert the particle error along its trajectory to | |
816 | //* the value which corresponds to its production/decay vertex | |
817 | //* It is done by combination of the error of decay length with the position errors | |
818 | ||
819 | Double_t fld[3]; | |
820 | { | |
821 | GetFieldValue( fP, fld ); | |
822 | const Double_t kCLight = fQ*0.000299792458; | |
823 | fld[0]*=kCLight; fld[1]*=kCLight; fld[2]*=kCLight; | |
824 | } | |
825 | ||
826 | Double_t h[6]; | |
827 | ||
828 | h[0] = fP[3]; | |
829 | h[1] = fP[4]; | |
830 | h[2] = fP[5]; | |
831 | if( ToProduction ){ h[0]=-h[0]; h[1]=-h[1]; h[2]=-h[2]; } | |
832 | h[3] = h[1]*fld[2]-h[2]*fld[1]; | |
833 | h[4] = h[2]*fld[0]-h[0]*fld[2]; | |
834 | h[5] = h[0]*fld[1]-h[1]*fld[0]; | |
835 | ||
836 | Double_t c; | |
837 | ||
838 | c = fC[28]+h[0]*fC[35]; | |
839 | fC[ 0]+= h[0]*(c+fC[28]); | |
840 | fC[28] = c; | |
841 | ||
842 | fC[ 1]+= h[1]*fC[28] + h[0]*fC[29]; | |
843 | c = fC[29]+h[1]*fC[35]; | |
844 | fC[ 2]+= h[1]*(c+fC[29]); | |
845 | fC[29] = c; | |
846 | ||
847 | fC[ 3]+= h[2]*fC[28] + h[0]*fC[30]; | |
848 | fC[ 4]+= h[2]*fC[29] + h[1]*fC[30]; | |
849 | c = fC[30]+h[2]*fC[35]; | |
850 | fC[ 5]+= h[2]*(c+fC[30]); | |
851 | fC[30] = c; | |
852 | ||
853 | fC[ 6]+= h[3]*fC[28] + h[0]*fC[31]; | |
854 | fC[ 7]+= h[3]*fC[29] + h[1]*fC[31]; | |
855 | fC[ 8]+= h[3]*fC[30] + h[2]*fC[31]; | |
856 | c = fC[31]+h[3]*fC[35]; | |
857 | fC[ 9]+= h[3]*(c+fC[31]); | |
858 | fC[31] = c; | |
859 | ||
860 | fC[10]+= h[4]*fC[28] + h[0]*fC[32]; | |
861 | fC[11]+= h[4]*fC[29] + h[1]*fC[32]; | |
862 | fC[12]+= h[4]*fC[30] + h[2]*fC[32]; | |
863 | fC[13]+= h[4]*fC[31] + h[3]*fC[32]; | |
864 | c = fC[32]+h[4]*fC[35]; | |
865 | fC[14]+= h[4]*(c+fC[32]); | |
866 | fC[32] = c; | |
867 | ||
868 | fC[15]+= h[5]*fC[28] + h[0]*fC[33]; | |
869 | fC[16]+= h[5]*fC[29] + h[1]*fC[33]; | |
870 | fC[17]+= h[5]*fC[30] + h[2]*fC[33]; | |
871 | fC[18]+= h[5]*fC[31] + h[3]*fC[33]; | |
872 | fC[19]+= h[5]*fC[32] + h[4]*fC[33]; | |
873 | c = fC[33]+h[5]*fC[35]; | |
874 | fC[20]+= h[5]*(c+fC[33]); | |
875 | fC[33] = c; | |
876 | ||
877 | fC[21]+= h[0]*fC[34]; | |
878 | fC[22]+= h[1]*fC[34]; | |
879 | fC[23]+= h[2]*fC[34]; | |
880 | fC[24]+= h[3]*fC[34]; | |
881 | fC[25]+= h[4]*fC[34]; | |
882 | fC[26]+= h[5]*fC[34]; | |
883 | } | |
884 | ||
885 | ||
886 | void AliKFParticleBase::TransportToDecayVertex() | |
887 | { | |
888 | //* Transport the particle to its decay vertex | |
889 | ||
890 | if( fSFromDecay != 0 ) TransportToDS( -fSFromDecay ); | |
891 | if( fAtProductionVertex ) Convert(0); | |
892 | fAtProductionVertex = 0; | |
893 | } | |
894 | ||
895 | void AliKFParticleBase::TransportToProductionVertex() | |
896 | { | |
897 | //* Transport the particle to its production vertex | |
616ffc76 | 898 | |
f826d409 | 899 | if( fSFromDecay != -fP[7] ) TransportToDS( -fSFromDecay-fP[7] ); |
900 | if( !fAtProductionVertex ) Convert( 1 ); | |
901 | fAtProductionVertex = 1; | |
902 | } | |
903 | ||
904 | ||
905 | void AliKFParticleBase::TransportToDS( Double_t dS ) | |
906 | { | |
907 | //* Transport the particle on dS parameter (SignedPath/Momentum) | |
616ffc76 | 908 | |
f826d409 | 909 | Transport( dS, fP, fC ); |
910 | fSFromDecay+= dS; | |
911 | } | |
912 | ||
913 | ||
914 | Double_t AliKFParticleBase::GetDStoPointLine( const Double_t xyz[] ) const | |
915 | { | |
916 | //* Get dS to a certain space point without field | |
917 | ||
918 | Double_t p2 = fP[3]*fP[3] + fP[4]*fP[4] + fP[5]*fP[5]; | |
919 | if( p2<1.e-4 ) p2 = 1; | |
920 | return ( fP[3]*(xyz[0]-fP[0]) + fP[4]*(xyz[1]-fP[1]) + fP[5]*(xyz[2]-fP[2]) )/p2; | |
921 | } | |
922 | ||
923 | ||
924 | Double_t AliKFParticleBase::GetDStoPointBz( Double_t B, const Double_t xyz[] ) | |
925 | const | |
926 | { | |
616ffc76 | 927 | |
f826d409 | 928 | //* Get dS to a certain space point for Bz field |
f826d409 | 929 | const Double_t kCLight = 0.000299792458; |
930 | Double_t bq = B*fQ*kCLight; | |
931 | Double_t pt2 = fP[3]*fP[3] + fP[4]*fP[4]; | |
932 | if( pt2<1.e-4 ) return 0; | |
933 | Double_t dx = xyz[0] - fP[0]; | |
934 | Double_t dy = xyz[1] - fP[1]; | |
935 | Double_t a = dx*fP[3]+dy*fP[4]; | |
706952f5 | 936 | Double_t dS; |
937 | ||
938 | if( TMath::Abs(bq)<1.e-8 ) dS = a/pt2; | |
939 | else dS = TMath::ATan2( bq*a, pt2 + bq*(dy*fP[3] -dx*fP[4]) )/bq; | |
940 | ||
941 | if(0){ | |
942 | ||
943 | Double_t px = fP[3]; | |
944 | Double_t py = fP[4]; | |
945 | Double_t pz = fP[5]; | |
946 | Double_t ss[2], g[2][5]; | |
947 | ||
948 | ss[0] = dS; | |
949 | ss[1] = -dS; | |
950 | for( Int_t i=0; i<2; i++){ | |
951 | Double_t bs = bq*ss[i]; | |
952 | Double_t c = TMath::Cos(bs), s = TMath::Sin(bs); | |
953 | Double_t cB,sB; | |
954 | if( TMath::Abs(bq)>1.e-8){ | |
955 | cB= (1-c)/bq; | |
956 | sB= s/bq; | |
957 | }else{ | |
958 | sB = (1. - bs*bs/6.)*ss[i]; | |
959 | cB = .5*sB*bs; | |
960 | } | |
961 | g[i][0] = fP[0] + sB*px + cB*py; | |
962 | g[i][1] = fP[1] - cB*px + sB*py; | |
963 | g[i][2] = fP[2] + ss[i]*pz; | |
964 | g[i][3] = + c*px + s*py; | |
965 | g[i][4] = - s*px + c*py; | |
966 | } | |
967 | ||
968 | Int_t i=0; | |
969 | ||
970 | Double_t dMin = 1.e10; | |
971 | for( Int_t j=0; j<2; j++){ | |
972 | Double_t xx = g[j][0]-xyz[0]; | |
973 | Double_t yy = g[j][1]-xyz[1]; | |
974 | Double_t zz = g[j][2]-xyz[2]; | |
975 | Double_t d = xx*xx + yy*yy + zz*zz; | |
976 | if( d<dMin ){ | |
977 | dMin = d; | |
978 | i = j; | |
979 | } | |
980 | } | |
981 | ||
982 | dS = ss[i]; | |
983 | ||
984 | Double_t x= g[i][0], y= g[i][1], z= g[i][2], ppx= g[i][3], ppy= g[i][4]; | |
5fc72f28 | 985 | Double_t ddx = x-xyz[0]; |
986 | Double_t ddy = y-xyz[1]; | |
987 | Double_t ddz = z-xyz[2]; | |
988 | Double_t c = ddx*ppx + ddy*ppy + ddz*pz ; | |
706952f5 | 989 | Double_t pp2 = ppx*ppx + ppy*ppy + pz*pz; |
990 | if( TMath::Abs(pp2)>1.e-8 ){ | |
991 | dS+=c/pp2; | |
992 | } | |
993 | } | |
994 | return dS; | |
f826d409 | 995 | } |
996 | ||
997 | ||
998 | void AliKFParticleBase::GetDStoParticleBz( Double_t B, const AliKFParticleBase &p, | |
616ffc76 | 999 | Double_t &DS, Double_t &DS1 ) |
f826d409 | 1000 | const |
1001 | { | |
1002 | //* Get dS to another particle for Bz field | |
f826d409 | 1003 | Double_t px = fP[3]; |
1004 | Double_t py = fP[4]; | |
1005 | Double_t pz = fP[5]; | |
1006 | ||
1007 | Double_t px1 = p.fP[3]; | |
1008 | Double_t py1 = p.fP[4]; | |
1009 | Double_t pz1 = p.fP[5]; | |
1010 | ||
1011 | const Double_t kCLight = 0.000299792458; | |
1012 | ||
1013 | Double_t bq = B*fQ*kCLight; | |
1014 | Double_t bq1 = B*p.fQ*kCLight; | |
f826d409 | 1015 | Double_t s=0, ds=0, s1=0, ds1=0; |
1016 | ||
1017 | if( TMath::Abs(bq)>1.e-8 || TMath::Abs(bq1)>1.e-8 ){ | |
4bbc290d | 1018 | |
f826d409 | 1019 | Double_t dx = (p.fP[0] - fP[0]); |
1020 | Double_t dy = (p.fP[1] - fP[1]); | |
1021 | Double_t d2 = (dx*dx+dy*dy); | |
1022 | ||
1023 | Double_t p2 = (px *px + py *py); | |
1024 | Double_t p21 = (px1*px1 + py1*py1); | |
1025 | ||
1026 | Double_t a = (px*py1 - py*px1); | |
1027 | Double_t b = (px*px1 + py*py1); | |
1028 | ||
1029 | Double_t ldx = bq*bq1*dx - bq1*py + bq*py1 ; | |
1030 | Double_t ldy = bq*bq1*dy + bq1*px - bq*px1 ; | |
1031 | Double_t l2 = ldx*ldx + ldy*ldy; | |
1032 | ||
1033 | Double_t cS = bq1*p2 + bq*bq1*(dy* px - dx* py) - bq*b; | |
1034 | Double_t cS1= bq*p21 - bq*bq1*(dy*px1 - dx*py1) - bq1*b; | |
1035 | ||
1036 | Double_t ca = bq*bq*bq1*d2 +2*( cS + bq*bq*(py1*dx-px1*dy)) ; | |
1037 | Double_t ca1 = bq*bq1*bq1*d2 +2*( cS1 - bq1*bq1*(py*dx-px*dy)) ; | |
1038 | ||
1039 | Double_t sa = 4*l2*p2 - ca*ca; | |
1040 | Double_t sa1 = 4*l2*p21 - ca1*ca1; | |
e7b09c95 | 1041 | |
f826d409 | 1042 | if(sa<0) sa=0; |
1043 | if(sa1<0)sa1=0; | |
1044 | ||
1045 | if( TMath::Abs(bq)>1.e-8){ | |
1046 | s = TMath::ATan2( bq*( bq1*(dx*px +dy*py) + a ) , cS )/bq; | |
1047 | ds = TMath::ATan2(TMath::Sqrt(sa),ca)/bq; | |
1048 | } else { | |
1049 | s = ( (dx*px + dy*py) + (py*px1-px*py1)/bq1)/p2; | |
1050 | ds = s*s - (d2-2*(px1*dy-py1*dx)/bq1)/p2; | |
1051 | if( ds<0 ) ds = 0; | |
1052 | ds = TMath::Sqrt(ds); | |
1053 | } | |
1054 | ||
1055 | if( TMath::Abs(bq1)>1.e-8){ | |
1056 | s1 = TMath::ATan2( -bq1*( bq*(dx*px1+dy*py1) + a), cS1 )/bq1; | |
1057 | ds1 = TMath::ATan2(TMath::Sqrt(sa1),ca1)/bq1; | |
1058 | } else { | |
1059 | s1 = (-(dx*px1 + dy*py1) + (py*px1-px*py1)/bq)/p21; | |
1060 | ds1 = s1*s1 - (d2+2*(px*dy-py*dx)/bq)/p21; | |
1061 | if( ds1<0 ) ds1 = 0; | |
1062 | ds1 = TMath::Sqrt(ds1); | |
1063 | } | |
1064 | } | |
1065 | ||
f826d409 | 1066 | Double_t ss[2], ss1[2], g[2][5],g1[2][5]; |
1067 | ||
1068 | ss[0] = s + ds; | |
1069 | ss[1] = s - ds; | |
1070 | ss1[0] = s1 + ds1; | |
1071 | ss1[1] = s1 - ds1; | |
1072 | for( Int_t i=0; i<2; i++){ | |
1073 | Double_t bs = bq*ss[i]; | |
5fc72f28 | 1074 | Double_t c = TMath::Cos(bs), sss = TMath::Sin(bs); |
f826d409 | 1075 | Double_t cB,sB; |
1076 | if( TMath::Abs(bq)>1.e-8){ | |
1077 | cB= (1-c)/bq; | |
5fc72f28 | 1078 | sB= sss/bq; |
f826d409 | 1079 | }else{ |
1080 | sB = (1. - bs*bs/6.)*ss[i]; | |
1081 | cB = .5*sB*bs; | |
1082 | } | |
1083 | g[i][0] = fP[0] + sB*px + cB*py; | |
1084 | g[i][1] = fP[1] - cB*px + sB*py; | |
1085 | g[i][2] = fP[2] + ss[i]*pz; | |
5fc72f28 | 1086 | g[i][3] = + c*px + sss*py; |
1087 | g[i][4] = - sss*px + c*py; | |
f826d409 | 1088 | |
1089 | bs = bq1*ss1[i]; | |
5fc72f28 | 1090 | c = TMath::Cos(bs); sss = TMath::Sin(bs); |
f826d409 | 1091 | if( TMath::Abs(bq1)>1.e-8){ |
1092 | cB= (1-c)/bq1; | |
5fc72f28 | 1093 | sB= sss/bq1; |
f826d409 | 1094 | }else{ |
1095 | sB = (1. - bs*bs/6.)*ss1[i]; | |
1096 | cB = .5*sB*bs; | |
1097 | } | |
1098 | ||
e7b09c95 | 1099 | g1[i][0] = p.fP[0] + sB*px1 + cB*py1; |
1100 | g1[i][1] = p.fP[1] - cB*px1 + sB*py1; | |
1101 | g1[i][2] = p.fP[2] + ss[i]*pz1; | |
5fc72f28 | 1102 | g1[i][3] = + c*px1 + sss*py1; |
1103 | g1[i][4] = - sss*px1 + c*py1; | |
f826d409 | 1104 | } |
1105 | ||
1106 | Int_t i=0, i1=0; | |
1107 | ||
1108 | Double_t dMin = 1.e10; | |
1109 | for( Int_t j=0; j<2; j++){ | |
1110 | for( Int_t j1=0; j1<2; j1++){ | |
1111 | Double_t xx = g[j][0]-g1[j1][0]; | |
1112 | Double_t yy = g[j][1]-g1[j1][1]; | |
1113 | Double_t zz = g[j][2]-g1[j1][2]; | |
1114 | Double_t d = xx*xx + yy*yy + zz*zz; | |
1115 | if( d<dMin ){ | |
1116 | dMin = d; | |
1117 | i = j; | |
1118 | i1 = j1; | |
1119 | } | |
1120 | } | |
1121 | } | |
1122 | ||
1123 | DS = ss[i]; | |
1124 | DS1 = ss1[i1]; | |
91468b27 | 1125 | if(0){ |
1126 | Double_t x= g[i][0], y= g[i][1], z= g[i][2], ppx= g[i][3], ppy= g[i][4]; | |
1127 | Double_t x1=g1[i1][0], y1= g1[i1][1], z1= g1[i1][2], ppx1= g1[i1][3], ppy1= g1[i1][4]; | |
1128 | Double_t dx = x1-x; | |
1129 | Double_t dy = y1-y; | |
1130 | Double_t dz = z1-z; | |
1131 | Double_t a = ppx*ppx1 + ppy*ppy1 + pz*pz1; | |
1132 | Double_t b = dx*ppx1 + dy*ppy1 + dz*pz1; | |
1133 | Double_t c = dx*ppx + dy*ppy + dz*pz ; | |
1134 | Double_t pp2 = ppx*ppx + ppy*ppy + pz*pz; | |
1135 | Double_t pp21= ppx1*ppx1 + ppy1*ppy1 + pz1*pz1; | |
706952f5 | 1136 | Double_t det = pp2*pp21 - a*a; |
91468b27 | 1137 | if( TMath::Abs(det)>1.e-8 ){ |
1138 | DS+=(a*b-pp21*c)/det; | |
1139 | DS1+=(a*c-pp2*b)/det; | |
1140 | } | |
f826d409 | 1141 | } |
1142 | } | |
1143 | ||
1144 | ||
1145 | ||
1146 | void AliKFParticleBase::TransportCBM( Double_t dS, | |
1147 | Double_t P[], Double_t C[] ) const | |
1148 | { | |
1149 | //* Transport the particle on dS, output to P[],C[], for CBM field | |
1150 | ||
1151 | if( fQ==0 ){ | |
1152 | TransportLine( dS, P, C ); | |
1153 | return; | |
1154 | } | |
1155 | ||
1156 | const Double_t kCLight = 0.000299792458; | |
1157 | ||
1158 | Double_t c = fQ*kCLight; | |
1159 | ||
1160 | // construct coefficients | |
1161 | ||
1162 | Double_t | |
1163 | px = fP[3], | |
1164 | py = fP[4], | |
1165 | pz = fP[5]; | |
1166 | ||
1167 | Double_t sx=0, sy=0, sz=0, syy=0, syz=0, syyy=0, ssx=0, ssy=0, ssz=0, ssyy=0, ssyz=0, ssyyy=0; | |
1168 | ||
1169 | { // get field integrals | |
1170 | ||
1171 | Double_t fld[3][3]; | |
1172 | Double_t p0[3], p1[3], p2[3]; | |
1173 | ||
1174 | // line track approximation | |
1175 | ||
1176 | p0[0] = fP[0]; | |
1177 | p0[1] = fP[1]; | |
1178 | p0[2] = fP[2]; | |
1179 | ||
1180 | p2[0] = fP[0] + px*dS; | |
1181 | p2[1] = fP[1] + py*dS; | |
1182 | p2[2] = fP[2] + pz*dS; | |
1183 | ||
1184 | p1[0] = 0.5*(p0[0]+p2[0]); | |
1185 | p1[1] = 0.5*(p0[1]+p2[1]); | |
1186 | p1[2] = 0.5*(p0[2]+p2[2]); | |
1187 | ||
1188 | // first order track approximation | |
1189 | { | |
1190 | GetFieldValue( p0, fld[0] ); | |
1191 | GetFieldValue( p1, fld[1] ); | |
1192 | GetFieldValue( p2, fld[2] ); | |
1193 | ||
1194 | Double_t ssy1 = ( 7*fld[0][1] + 6*fld[1][1]-fld[2][1] )*c*dS*dS/96.; | |
1195 | Double_t ssy2 = ( fld[0][1] + 2*fld[1][1] )*c*dS*dS/6.; | |
1196 | ||
1197 | p1[0] -= ssy1*pz; | |
1198 | p1[2] += ssy1*px; | |
1199 | p2[0] -= ssy2*pz; | |
1200 | p2[2] += ssy2*px; | |
1201 | } | |
1202 | ||
1203 | GetFieldValue( p0, fld[0] ); | |
1204 | GetFieldValue( p1, fld[1] ); | |
1205 | GetFieldValue( p2, fld[2] ); | |
1206 | ||
1207 | sx = c*( fld[0][0] + 4*fld[1][0] + fld[2][0] )*dS/6.; | |
1208 | sy = c*( fld[0][1] + 4*fld[1][1] + fld[2][1] )*dS/6.; | |
1209 | sz = c*( fld[0][2] + 4*fld[1][2] + fld[2][2] )*dS/6.; | |
1210 | ||
1211 | ssx = c*( fld[0][0] + 2*fld[1][0])*dS*dS/6.; | |
1212 | ssy = c*( fld[0][1] + 2*fld[1][1])*dS*dS/6.; | |
1213 | ssz = c*( fld[0][2] + 2*fld[1][2])*dS*dS/6.; | |
1214 | ||
1215 | Double_t c2[3][3] = { { 5, -4, -1},{ 44, 80, -4},{ 11, 44, 5} }; // /=360. | |
1216 | Double_t cc2[3][3] = { { 38, 8, -4},{ 148, 208, -20},{ 3, 36, 3} }; // /=2520. | |
1217 | for(Int_t n=0; n<3; n++) | |
1218 | for(Int_t m=0; m<3; m++) | |
1219 | { | |
1220 | syz += c2[n][m]*fld[n][1]*fld[m][2]; | |
1221 | ssyz += cc2[n][m]*fld[n][1]*fld[m][2]; | |
1222 | } | |
1223 | ||
1224 | syz *= c*c*dS*dS/360.; | |
1225 | ssyz *= c*c*dS*dS*dS/2520.; | |
1226 | ||
1227 | syy = c*( fld[0][1] + 4*fld[1][1] + fld[2][1] )*dS; | |
1228 | syyy = syy*syy*syy / 1296; | |
1229 | syy = syy*syy/72; | |
1230 | ||
1231 | ssyy = ( fld[0][1]*( 38*fld[0][1] + 156*fld[1][1] - fld[2][1] )+ | |
1232 | fld[1][1]*( 208*fld[1][1] +16*fld[2][1] )+ | |
1233 | fld[2][1]*( 3*fld[2][1] ) | |
1234 | )*dS*dS*dS*c*c/2520.; | |
1235 | ssyyy = | |
1236 | ( | |
1237 | fld[0][1]*( fld[0][1]*( 85*fld[0][1] + 526*fld[1][1] - 7*fld[2][1] )+ | |
1238 | fld[1][1]*( 1376*fld[1][1] +84*fld[2][1] )+ | |
1239 | fld[2][1]*( 19*fld[2][1] ) )+ | |
1240 | fld[1][1]*( fld[1][1]*( 1376*fld[1][1] +256*fld[2][1] )+ | |
1241 | fld[2][1]*( 62*fld[2][1] ) )+ | |
1242 | fld[2][1]*fld[2][1] *( 3*fld[2][1] ) | |
1243 | )*dS*dS*dS*dS*c*c*c/90720.; | |
1244 | ||
1245 | } | |
1246 | ||
1247 | Double_t mJ[8][8]; | |
1248 | for( Int_t i=0; i<8; i++ ) for( Int_t j=0; j<8; j++) mJ[i][j]=0; | |
1249 | ||
1250 | mJ[0][0]=1; mJ[0][1]=0; mJ[0][2]=0; mJ[0][3]=dS-ssyy; mJ[0][4]=ssx; mJ[0][5]=ssyyy-ssy; | |
1251 | mJ[1][0]=0; mJ[1][1]=1; mJ[1][2]=0; mJ[1][3]=-ssz; mJ[1][4]=dS; mJ[1][5]=ssx+ssyz; | |
1252 | mJ[2][0]=0; mJ[2][1]=0; mJ[2][2]=1; mJ[2][3]=ssy-ssyyy; mJ[2][4]=-ssx; mJ[2][5]=dS-ssyy; | |
1253 | ||
1254 | mJ[3][0]=0; mJ[3][1]=0; mJ[3][2]=0; mJ[3][3]=1-syy; mJ[3][4]=sx; mJ[3][5]=syyy-sy; | |
1255 | mJ[4][0]=0; mJ[4][1]=0; mJ[4][2]=0; mJ[4][3]=-sz; mJ[4][4]=1; mJ[4][5]=sx+syz; | |
1256 | mJ[5][0]=0; mJ[5][1]=0; mJ[5][2]=0; mJ[5][3]=sy-syyy; mJ[5][4]=-sx; mJ[5][5]=1-syy; | |
1257 | mJ[6][6] = mJ[7][7] = 1; | |
1258 | ||
1259 | P[0] = fP[0] + mJ[0][3]*px + mJ[0][4]*py + mJ[0][5]*pz; | |
1260 | P[1] = fP[1] + mJ[1][3]*px + mJ[1][4]*py + mJ[1][5]*pz; | |
1261 | P[2] = fP[2] + mJ[2][3]*px + mJ[2][4]*py + mJ[2][5]*pz; | |
1262 | P[3] = mJ[3][3]*px + mJ[3][4]*py + mJ[3][5]*pz; | |
1263 | P[4] = mJ[4][3]*px + mJ[4][4]*py + mJ[4][5]*pz; | |
1264 | P[5] = mJ[5][3]*px + mJ[5][4]*py + mJ[5][5]*pz; | |
1265 | P[6] = fP[6]; | |
1266 | P[7] = fP[7]; | |
1267 | ||
1268 | MultQSQt( mJ[0], fC, C); | |
1269 | ||
1270 | } | |
1271 | ||
1272 | ||
5fc72f28 | 1273 | void AliKFParticleBase::TransportBz( Double_t b, Double_t ss, |
1274 | Double_t p[], Double_t cc[] ) const | |
f826d409 | 1275 | { |
1276 | //* Transport the particle on dS, output to P[],C[], for Bz field | |
616ffc76 | 1277 | |
f826d409 | 1278 | const Double_t kCLight = 0.000299792458; |
5fc72f28 | 1279 | b = b*fQ*kCLight; |
1280 | Double_t bs= b*ss; | |
f826d409 | 1281 | Double_t s = TMath::Sin(bs), c = TMath::Cos(bs); |
1282 | Double_t sB, cB; | |
616ffc76 | 1283 | if( TMath::Abs(bs)>1.e-10){ |
5fc72f28 | 1284 | sB= s/b; |
1285 | cB= (1-c)/b; | |
f826d409 | 1286 | }else{ |
5fc72f28 | 1287 | sB = (1. - bs*bs/6.)*ss; |
f826d409 | 1288 | cB = .5*sB*bs; |
1289 | } | |
1290 | ||
1291 | Double_t px = fP[3]; | |
1292 | Double_t py = fP[4]; | |
1293 | Double_t pz = fP[5]; | |
1294 | ||
5fc72f28 | 1295 | p[0] = fP[0] + sB*px + cB*py; |
1296 | p[1] = fP[1] - cB*px + sB*py; | |
1297 | p[2] = fP[2] + ss*pz; | |
1298 | p[3] = c*px + s*py; | |
1299 | p[4] = -s*px + c*py; | |
1300 | p[5] = fP[5]; | |
1301 | p[6] = fP[6]; | |
1302 | p[7] = fP[7]; | |
f826d409 | 1303 | |
1304 | Double_t mJ[8][8] = { {1,0,0, sB, cB, 0, 0, 0 }, | |
616ffc76 | 1305 | {0,1,0, -cB, sB, 0, 0, 0 }, |
5fc72f28 | 1306 | {0,0,1, 0, 0, ss, 0, 0 }, |
616ffc76 | 1307 | {0,0,0, c, s, 0, 0, 0 }, |
1308 | {0,0,0, -s, c, 0, 0, 0 }, | |
1309 | {0,0,0, 0, 0, 1, 0, 0 }, | |
1310 | {0,0,0, 0, 0, 0, 1, 0 }, | |
1311 | {0,0,0, 0, 0, 0, 0, 1 } }; | |
f826d409 | 1312 | Double_t mA[8][8]; |
1313 | for( Int_t k=0,i=0; i<8; i++) | |
1314 | for( Int_t j=0; j<=i; j++, k++ ) mA[i][j] = mA[j][i] = fC[k]; | |
1315 | ||
1316 | Double_t mJC[8][8]; | |
1317 | for( Int_t i=0; i<8; i++ ) | |
1318 | for( Int_t j=0; j<8; j++ ){ | |
1319 | mJC[i][j]=0; | |
1320 | for( Int_t k=0; k<8; k++ ) mJC[i][j]+=mJ[i][k]*mA[k][j]; | |
1321 | } | |
1322 | ||
1323 | for( Int_t k=0,i=0; i<8; i++) | |
1324 | for( Int_t j=0; j<=i; j++, k++ ){ | |
5fc72f28 | 1325 | cc[k] = 0; |
1326 | for( Int_t l=0; l<8; l++ ) cc[k]+=mJC[i][l]*mJ[j][l]; | |
f826d409 | 1327 | } |
1328 | ||
1329 | return; | |
1330 | /* | |
1331 | Double_t cBC13 = cB*fC[13]; | |
1332 | Double_t C17 = fC[17]; | |
1333 | Double_t C18 = fC[18]; | |
1334 | fC[ 0]+= 2*(sB*fC[ 6] + cB*fC[10]) + (sB*fC[ 9] + 2*cBC13)*sB + cB*cB*fC[14]; | |
1335 | ||
1336 | Double_t mJC13= fC[ 7] - cB*fC[ 9] + sB*fC[13]; | |
1337 | Double_t mJC14= fC[11] - cBC13 + sB*fC[14]; | |
1338 | ||
1339 | fC[ 1]+= -cB*fC[ 6] + sB*fC[10] +mJC13*sB +mJC14*cB; | |
1340 | fC[ 2]+= -cB*fC[ 7] + sB*fC[11] -mJC13*cB +mJC14*sB; | |
1341 | ||
706952f5 | 1342 | Double_t mJC23= fC[ 8] + S*fC[18]; |
1343 | Double_t mJC24= fC[12] + S*fC[19]; | |
1344 | fC[ 3]+= S*fC[15] +mJC23*sB +mJC24*cB; | |
1345 | fC[ 4]+= S*fC[16] -mJC23*cB +mJC24*sB; | |
f826d409 | 1346 | |
1347 | fC[15]+= C18*sB + fC[19]*cB; | |
1348 | fC[16]+= -C18*cB + fC[19]*sB; | |
706952f5 | 1349 | fC[17]+= fC[20]*S; |
f826d409 | 1350 | fC[18] = C18*c + fC[19]*s; |
1351 | fC[19] = -C18*s + fC[19]*c; | |
1352 | ||
706952f5 | 1353 | fC[ 5]+= (C17 + C17 + fC[17])*S; |
f826d409 | 1354 | |
1355 | Double_t mJC33= c*fC[ 9] + s*fC[13]; Double_t mJC34= c*fC[13] + s*fC[14]; | |
1356 | Double_t mJC43=-s*fC[ 9] + c*fC[13]; Double_t mJC44=-s*fC[13] + c*fC[14]; | |
1357 | Double_t C6= fC[6], C7= fC[7], C8= fC[8]; | |
1358 | ||
1359 | fC[ 6]= c*C6 + s*fC[10] +mJC33*sB +mJC34*cB; | |
1360 | fC[ 7]= c*C7 + s*fC[11] -mJC33*cB +mJC34*sB; | |
706952f5 | 1361 | fC[ 8]= c*C8 + s*fC[12] +fC[18]*S; |
f826d409 | 1362 | fC[ 9]= mJC33*c +mJC34*s; |
1363 | ||
1364 | fC[10]= -s*C6 + c*fC[10] +mJC43*sB +mJC44*cB; | |
1365 | fC[11]= -s*C7 + c*fC[11] -mJC43*cB +mJC44*sB; | |
706952f5 | 1366 | fC[12]= -s*C8 + c*fC[12] +fC[19]*S; |
f826d409 | 1367 | fC[13]= mJC43*c +mJC44*s; |
1368 | fC[14]=-mJC43*s +mJC44*c; | |
1369 | */ | |
1370 | } | |
1371 | ||
1372 | ||
1373 | Double_t AliKFParticleBase::GetDistanceFromVertex( const AliKFParticleBase &Vtx ) const | |
1374 | { | |
1375 | //* Calculate distance from vertex [cm] | |
1376 | ||
1377 | return GetDistanceFromVertex( Vtx.fP ); | |
1378 | } | |
1379 | ||
1380 | Double_t AliKFParticleBase::GetDistanceFromVertex( const Double_t vtx[] ) const | |
1381 | { | |
1382 | //* Calculate distance from vertex [cm] | |
1383 | ||
1384 | Double_t mP[8], mC[36]; | |
1385 | Transport( GetDStoPoint(vtx), mP, mC ); | |
1386 | Double_t d[3]={ vtx[0]-mP[0], vtx[1]-mP[1], vtx[2]-mP[2]}; | |
1387 | return TMath::Sqrt( d[0]*d[0]+d[1]*d[1]+d[2]*d[2] ); | |
1388 | } | |
1389 | ||
616ffc76 | 1390 | Double_t AliKFParticleBase::GetDistanceFromParticle( const AliKFParticleBase &p ) |
f826d409 | 1391 | const |
1392 | { | |
616ffc76 | 1393 | //* Calculate distance to other particle [cm] |
f826d409 | 1394 | |
1395 | Double_t dS, dS1; | |
616ffc76 | 1396 | GetDStoParticle( p, dS, dS1 ); |
f826d409 | 1397 | Double_t mP[8], mC[36], mP1[8], mC1[36]; |
616ffc76 | 1398 | Transport( dS, mP, mC ); |
1399 | p.Transport( dS1, mP1, mC1 ); | |
f826d409 | 1400 | Double_t dx = mP[0]-mP1[0]; |
1401 | Double_t dy = mP[1]-mP1[1]; | |
1402 | Double_t dz = mP[2]-mP1[2]; | |
1403 | return TMath::Sqrt(dx*dx+dy*dy+dz*dz); | |
1404 | } | |
1405 | ||
1406 | Double_t AliKFParticleBase::GetDeviationFromVertex( const AliKFParticleBase &Vtx ) const | |
1407 | { | |
1408 | //* Calculate sqrt(Chi2/ndf) deviation from vertex | |
1409 | ||
1410 | return GetDeviationFromVertex( Vtx.fP, Vtx.fC ); | |
1411 | } | |
1412 | ||
1413 | ||
1414 | Double_t AliKFParticleBase::GetDeviationFromVertex( const Double_t v[], const Double_t Cv[] ) const | |
1415 | { | |
1416 | //* Calculate sqrt(Chi2/ndf) deviation from vertex | |
1417 | //* v = [xyz], Cv=[Cxx,Cxy,Cyy,Cxz,Cyz,Czz]-covariance matrix | |
1418 | ||
1419 | Double_t mP[8]; | |
1420 | Double_t mC[36]; | |
1421 | ||
1422 | Transport( GetDStoPoint(v), mP, mC ); | |
1423 | ||
1424 | Double_t d[3]={ v[0]-mP[0], v[1]-mP[1], v[2]-mP[2]}; | |
1425 | ||
1426 | Double_t sigmaS = .1+10.*TMath::Sqrt( (d[0]*d[0]+d[1]*d[1]+d[2]*d[2])/ | |
1427 | (mP[3]*mP[3]+mP[4]*mP[4]+mP[5]*mP[5]) ); | |
1428 | ||
1429 | ||
1430 | Double_t h[3] = { mP[3]*sigmaS, mP[4]*sigmaS, mP[5]*sigmaS }; | |
1431 | ||
1432 | Double_t mSi[6] = | |
1433 | { mC[0] +h[0]*h[0], | |
1434 | mC[1] +h[1]*h[0], mC[2] +h[1]*h[1], | |
1435 | mC[3] +h[2]*h[0], mC[4] +h[2]*h[1], mC[5] +h[2]*h[2] }; | |
1436 | ||
1437 | if( Cv ){ | |
1438 | mSi[0]+=Cv[0]; | |
1439 | mSi[1]+=Cv[1]; | |
1440 | mSi[2]+=Cv[2]; | |
1441 | mSi[3]+=Cv[3]; | |
1442 | mSi[4]+=Cv[4]; | |
1443 | mSi[5]+=Cv[5]; | |
1444 | } | |
1445 | ||
1446 | Double_t mS[6]; | |
1447 | ||
1448 | mS[0] = mSi[2]*mSi[5] - mSi[4]*mSi[4]; | |
1449 | mS[1] = mSi[3]*mSi[4] - mSi[1]*mSi[5]; | |
1450 | mS[2] = mSi[0]*mSi[5] - mSi[3]*mSi[3]; | |
1451 | mS[3] = mSi[1]*mSi[4] - mSi[2]*mSi[3]; | |
1452 | mS[4] = mSi[1]*mSi[3] - mSi[0]*mSi[4]; | |
1453 | mS[5] = mSi[0]*mSi[2] - mSi[1]*mSi[1]; | |
1454 | ||
1455 | Double_t s = ( mSi[0]*mS[0] + mSi[1]*mS[1] + mSi[3]*mS[3] ); | |
1456 | s = ( s > 1.E-20 ) ?1./s :0; | |
1457 | ||
1458 | return TMath::Sqrt( TMath::Abs(s*( ( mS[0]*d[0] + mS[1]*d[1] + mS[3]*d[2])*d[0] | |
1459 | +(mS[1]*d[0] + mS[2]*d[1] + mS[4]*d[2])*d[1] | |
1460 | +(mS[3]*d[0] + mS[4]*d[1] + mS[5]*d[2])*d[2] ))/2); | |
1461 | } | |
1462 | ||
1463 | ||
616ffc76 | 1464 | Double_t AliKFParticleBase::GetDeviationFromParticle( const AliKFParticleBase &p ) |
f826d409 | 1465 | const |
1466 | { | |
616ffc76 | 1467 | //* Calculate sqrt(Chi2/ndf) deviation from other particle |
f826d409 | 1468 | |
1469 | Double_t dS, dS1; | |
616ffc76 | 1470 | GetDStoParticle( p, dS, dS1 ); |
f826d409 | 1471 | Double_t mP1[8], mC1[36]; |
616ffc76 | 1472 | p.Transport( dS1, mP1, mC1 ); |
f826d409 | 1473 | |
1474 | Double_t d[3]={ fP[0]-mP1[0], fP[1]-mP1[1], fP[2]-mP1[2]}; | |
1475 | ||
1476 | Double_t sigmaS = .1+10.*TMath::Sqrt( (d[0]*d[0]+d[1]*d[1]+d[2]*d[2])/ | |
616ffc76 | 1477 | (mP1[3]*mP1[3]+mP1[4]*mP1[4]+mP1[5]*mP1[5]) ); |
f826d409 | 1478 | |
1479 | Double_t h[3] = { mP1[3]*sigmaS, mP1[4]*sigmaS, mP1[5]*sigmaS }; | |
1480 | ||
1481 | mC1[0] +=h[0]*h[0]; | |
1482 | mC1[1] +=h[1]*h[0]; | |
1483 | mC1[2] +=h[1]*h[1]; | |
1484 | mC1[3] +=h[2]*h[0]; | |
1485 | mC1[4] +=h[2]*h[1]; | |
1486 | mC1[5] +=h[2]*h[2]; | |
1487 | ||
1488 | return GetDeviationFromVertex( mP1, mC1 )*TMath::Sqrt(2./1.); | |
1489 | } | |
1490 | ||
1491 | ||
1492 | ||
1493 | void AliKFParticleBase::SubtractFromVertex( Double_t v[], Double_t Cv[], | |
1494 | Double_t &vChi2, Int_t vNDF ) const | |
1495 | { | |
1496 | //* Subtract the particle from the vertex | |
1497 | ||
1498 | Double_t fld[3]; | |
1499 | { | |
1500 | GetFieldValue( v, fld ); | |
1501 | const Double_t kCLight = 0.000299792458; | |
1502 | fld[0]*=kCLight; fld[1]*=kCLight; fld[2]*=kCLight; | |
1503 | } | |
1504 | ||
1505 | Double_t m[8]; | |
1506 | Double_t mCm[36]; | |
1507 | ||
1508 | Transport( GetDStoPoint(v), m, mCm ); | |
1509 | ||
1510 | Double_t d[3] = { v[0]-m[0], v[1]-m[1], v[2]-m[2] }; | |
1511 | Double_t sigmaS = .1+10.*TMath::Sqrt( (d[0]*d[0]+d[1]*d[1]+d[2]*d[2])/ | |
1512 | (m[3]*m[3]+m[4]*m[4]+m[5]*m[5]) ); | |
1513 | ||
1514 | Double_t h[6]; | |
1515 | ||
1516 | h[0] = m[3]*sigmaS; | |
1517 | h[1] = m[4]*sigmaS; | |
1518 | h[2] = m[5]*sigmaS; | |
1519 | h[3] = ( h[1]*fld[2]-h[2]*fld[1] )*GetQ(); | |
1520 | h[4] = ( h[2]*fld[0]-h[0]*fld[2] )*GetQ(); | |
1521 | h[5] = ( h[0]*fld[1]-h[1]*fld[0] )*GetQ(); | |
1522 | ||
1523 | //* Fit of daughter momentum (Px,Py,Pz) to fVtxGuess vertex | |
1524 | { | |
1525 | Double_t zeta[3] = { v[0]-m[0], v[1]-m[1], v[2]-m[2] }; | |
1526 | ||
1527 | Double_t mVv[6] = | |
1528 | { mCm[ 0] + h[0]*h[0], | |
1529 | mCm[ 1] + h[1]*h[0], mCm[ 2] + h[1]*h[1], | |
1530 | mCm[ 3] + h[2]*h[0], mCm[ 4] + h[2]*h[1], mCm[ 5] + h[2]*h[2] }; | |
1531 | ||
1532 | Double_t mVvp[9]= | |
1533 | { mCm[ 6] + h[0]*h[3], mCm[ 7] + h[1]*h[3], mCm[ 8] + h[2]*h[3], | |
1534 | mCm[10] + h[0]*h[4], mCm[11] + h[1]*h[4], mCm[12] + h[2]*h[4], | |
1535 | mCm[15] + h[0]*h[5], mCm[16] + h[1]*h[5], mCm[17] + h[2]*h[5] }; | |
1536 | ||
1537 | Double_t mS[6] = | |
1538 | { mVv[2]*mVv[5] - mVv[4]*mVv[4], | |
1539 | mVv[3]*mVv[4] - mVv[1]*mVv[5], mVv[0]*mVv[5] - mVv[3]*mVv[3], | |
1540 | mVv[1]*mVv[4] - mVv[2]*mVv[3], mVv[1]*mVv[3] - mVv[0]*mVv[4], | |
1541 | mVv[0]*mVv[2] - mVv[1]*mVv[1] }; | |
1542 | ||
1543 | Double_t s = ( mVv[0]*mS[0] + mVv[1]*mS[1] + mVv[3]*mS[3] ); | |
1544 | s = ( s > 1.E-20 ) ?1./s :0; | |
1545 | ||
1546 | mS[0]*=s; mS[1]*=s; mS[2]*=s; mS[3]*=s; mS[4]*=s; mS[5]*=s; | |
1547 | ||
1548 | Double_t mSz[3] = { (mS[0]*zeta[0]+mS[1]*zeta[1]+mS[3]*zeta[2]), | |
1549 | (mS[1]*zeta[0]+mS[2]*zeta[1]+mS[4]*zeta[2]), | |
1550 | (mS[3]*zeta[0]+mS[4]*zeta[1]+mS[5]*zeta[2]) }; | |
1551 | ||
1552 | Double_t px = m[3] + mVvp[0]*mSz[0] + mVvp[1]*mSz[1] + mVvp[2]*mSz[2]; | |
1553 | Double_t py = m[4] + mVvp[3]*mSz[0] + mVvp[4]*mSz[1] + mVvp[5]*mSz[2]; | |
1554 | Double_t pz = m[5] + mVvp[6]*mSz[0] + mVvp[7]*mSz[1] + mVvp[8]*mSz[2]; | |
1555 | ||
1556 | h[0] = px*sigmaS; | |
1557 | h[1] = py*sigmaS; | |
1558 | h[2] = pz*sigmaS; | |
1559 | h[3] = ( h[1]*fld[2]-h[2]*fld[1] )*GetQ(); | |
1560 | h[4] = ( h[2]*fld[0]-h[0]*fld[2] )*GetQ(); | |
1561 | h[5] = ( h[0]*fld[1]-h[1]*fld[0] )*GetQ(); | |
1562 | } | |
1563 | ||
1564 | Double_t mV[6]; | |
1565 | ||
1566 | mV[ 0] = mCm[ 0] + h[0]*h[0]; | |
1567 | mV[ 1] = mCm[ 1] + h[1]*h[0]; | |
1568 | mV[ 2] = mCm[ 2] + h[1]*h[1]; | |
1569 | mV[ 3] = mCm[ 3] + h[2]*h[0]; | |
1570 | mV[ 4] = mCm[ 4] + h[2]*h[1]; | |
1571 | mV[ 5] = mCm[ 5] + h[2]*h[2]; | |
1572 | ||
1573 | //* | |
1574 | ||
1575 | Double_t mS[6]; | |
1576 | { | |
1577 | Double_t mSi[6] = { mV[0]-Cv[0], | |
1578 | mV[1]-Cv[1], mV[2]-Cv[2], | |
1579 | mV[3]-Cv[3], mV[4]-Cv[4], mV[5]-Cv[5] }; | |
1580 | ||
1581 | mS[0] = mSi[2]*mSi[5] - mSi[4]*mSi[4]; | |
1582 | mS[1] = mSi[3]*mSi[4] - mSi[1]*mSi[5]; | |
1583 | mS[2] = mSi[0]*mSi[5] - mSi[3]*mSi[3]; | |
1584 | mS[3] = mSi[1]*mSi[4] - mSi[2]*mSi[3]; | |
1585 | mS[4] = mSi[1]*mSi[3] - mSi[0]*mSi[4]; | |
1586 | mS[5] = mSi[0]*mSi[2] - mSi[1]*mSi[1]; | |
1587 | ||
1588 | Double_t s = ( mSi[0]*mS[0] + mSi[1]*mS[1] + mSi[3]*mS[3] ); | |
1589 | s = ( s > 1.E-20 ) ?1./s :0; | |
1590 | mS[0]*=s; | |
1591 | mS[1]*=s; | |
1592 | mS[2]*=s; | |
1593 | mS[3]*=s; | |
1594 | mS[4]*=s; | |
1595 | mS[5]*=s; | |
1596 | } | |
1597 | ||
1598 | //* Residual (measured - estimated) | |
1599 | ||
1600 | Double_t zeta[3] = { m[0]-v[0], m[1]-v[1], m[2]-v[2] }; | |
1601 | ||
1602 | //* mCHt = mCH' - D' | |
1603 | ||
1604 | Double_t mCHt0[3], mCHt1[3], mCHt2[3]; | |
1605 | ||
1606 | mCHt0[0]=Cv[ 0] ; mCHt1[0]=Cv[ 1] ; mCHt2[0]=Cv[ 3] ; | |
1607 | mCHt0[1]=Cv[ 1] ; mCHt1[1]=Cv[ 2] ; mCHt2[1]=Cv[ 4] ; | |
1608 | mCHt0[2]=Cv[ 3] ; mCHt1[2]=Cv[ 4] ; mCHt2[2]=Cv[ 5] ; | |
1609 | ||
1610 | //* Kalman gain K = mCH'*S | |
1611 | ||
1612 | Double_t k0[3], k1[3], k2[3]; | |
1613 | ||
1614 | for(Int_t i=0;i<3;++i){ | |
1615 | k0[i] = mCHt0[i]*mS[0] + mCHt1[i]*mS[1] + mCHt2[i]*mS[3]; | |
1616 | k1[i] = mCHt0[i]*mS[1] + mCHt1[i]*mS[2] + mCHt2[i]*mS[4]; | |
1617 | k2[i] = mCHt0[i]*mS[3] + mCHt1[i]*mS[4] + mCHt2[i]*mS[5]; | |
1618 | } | |
1619 | ||
1620 | //* New estimation of the vertex position r += K*zeta | |
1621 | ||
1622 | for(Int_t i=0;i<3;++i) | |
1623 | v[i] -= k0[i]*zeta[0] + k1[i]*zeta[1] + k2[i]*zeta[2]; | |
1624 | ||
1625 | //* New covariance matrix C -= K*(mCH')' | |
1626 | ||
1627 | for(Int_t i=0, k=0;i<3;++i){ | |
1628 | for(Int_t j=0;j<=i;++j,++k) | |
1629 | Cv[k] += k0[i]*mCHt0[j] + k1[i]*mCHt1[j] + k2[i]*mCHt2[j]; | |
1630 | } | |
1631 | ||
1632 | //* Calculate Chi^2 | |
1633 | ||
1634 | vNDF -= 2; | |
1635 | vChi2 -= (mS[0]*zeta[0] + mS[1]*zeta[1] + mS[3]*zeta[2])*zeta[0] | |
1636 | + (mS[1]*zeta[0] + mS[2]*zeta[1] + mS[4]*zeta[2])*zeta[1] | |
1637 | + (mS[3]*zeta[0] + mS[4]*zeta[1] + mS[5]*zeta[2])*zeta[2]; | |
1638 | } | |
1639 | ||
1640 | ||
1641 | ||
1642 | void AliKFParticleBase::TransportLine( Double_t dS, | |
1643 | Double_t P[], Double_t C[] ) const | |
1644 | { | |
1645 | //* Transport the particle as a straight line | |
1646 | ||
1647 | P[0] = fP[0] + dS*fP[3]; | |
1648 | P[1] = fP[1] + dS*fP[4]; | |
1649 | P[2] = fP[2] + dS*fP[5]; | |
1650 | P[3] = fP[3]; | |
1651 | P[4] = fP[4]; | |
1652 | P[5] = fP[5]; | |
1653 | P[6] = fP[6]; | |
1654 | P[7] = fP[7]; | |
1655 | ||
1656 | Double_t c6 = fC[ 6] + dS*fC[ 9]; | |
1657 | Double_t c11 = fC[11] + dS*fC[14]; | |
1658 | Double_t c17 = fC[17] + dS*fC[20]; | |
1659 | Double_t sc13 = dS*fC[13]; | |
1660 | Double_t sc18 = dS*fC[18]; | |
1661 | Double_t sc19 = dS*fC[19]; | |
1662 | ||
1663 | C[ 0] = fC[ 0] + dS*( fC[ 6] + c6 ); | |
1664 | C[ 2] = fC[ 2] + dS*( fC[11] + c11 ); | |
1665 | C[ 5] = fC[ 5] + dS*( fC[17] + c17 ); | |
1666 | ||
1667 | C[ 7] = fC[ 7] + sc13; | |
1668 | C[ 8] = fC[ 8] + sc18; | |
1669 | C[ 9] = fC[ 9]; | |
1670 | ||
1671 | C[12] = fC[12] + sc19; | |
1672 | ||
1673 | C[ 1] = fC[ 1] + dS*( fC[10] + C[ 7] ); | |
1674 | C[ 3] = fC[ 3] + dS*( fC[15] + C[ 8] ); | |
1675 | C[ 4] = fC[ 4] + dS*( fC[16] + C[12] ); | |
1676 | C[ 6] = c6; | |
1677 | ||
1678 | C[10] = fC[10] + sc13; | |
1679 | C[11] = c11; | |
1680 | ||
1681 | C[13] = fC[13]; | |
1682 | C[14] = fC[14]; | |
1683 | C[15] = fC[15] + sc18; | |
1684 | C[16] = fC[16] + sc19; | |
1685 | C[17] = c17; | |
1686 | ||
1687 | C[18] = fC[18]; | |
1688 | C[19] = fC[19]; | |
1689 | C[20] = fC[20]; | |
1690 | C[21] = fC[21] + dS*fC[24]; | |
1691 | C[22] = fC[22] + dS*fC[25]; | |
1692 | C[23] = fC[23] + dS*fC[26]; | |
1693 | ||
1694 | C[24] = fC[24]; | |
1695 | C[25] = fC[25]; | |
1696 | C[26] = fC[26]; | |
1697 | C[27] = fC[27]; | |
1698 | C[28] = fC[28] + dS*fC[31]; | |
1699 | C[29] = fC[29] + dS*fC[32]; | |
1700 | C[30] = fC[30] + dS*fC[33]; | |
1701 | ||
1702 | C[31] = fC[31]; | |
1703 | C[32] = fC[32]; | |
1704 | C[33] = fC[33]; | |
1705 | C[34] = fC[34]; | |
1706 | C[35] = fC[35]; | |
1707 | } | |
1708 | ||
1709 | ||
1710 | void AliKFParticleBase::MultQSQt( const Double_t Q[], const Double_t S[], Double_t SOut[] ) | |
1711 | { | |
1712 | //* Matrix multiplication Q*S*Q^T, Q - square matrix, S - symmetric | |
1713 | ||
1714 | const Int_t kN= 8; | |
1715 | Double_t mA[kN*kN]; | |
1716 | ||
1717 | for( Int_t i=0, ij=0; i<kN; i++ ){ | |
1718 | for( Int_t j=0; j<kN; j++, ++ij ){ | |
1719 | mA[ij] = 0 ; | |
1720 | for( Int_t k=0; k<kN; ++k ) mA[ij]+= S[( k<=i ) ? i*(i+1)/2+k :k*(k+1)/2+i] * Q[ j*kN+k]; | |
1721 | } | |
1722 | } | |
1723 | ||
1724 | for( Int_t i=0; i<kN; i++ ){ | |
1725 | for( Int_t j=0; j<=i; j++ ){ | |
1726 | Int_t ij = ( j<=i ) ? i*(i+1)/2+j :j*(j+1)/2+i; | |
1727 | SOut[ij] = 0 ; | |
1728 | for( Int_t k=0; k<kN; k++ ) SOut[ij] += Q[ i*kN+k ] * mA[ k*kN+j ]; | |
1729 | } | |
1730 | } | |
1731 | } | |
1732 | ||
1733 | ||
1734 | // 72-charachters line to define the printer border | |
1735 | //3456789012345678901234567890123456789012345678901234567890123456789012 |