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98937d93 | 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 | // Class AliTrackPointArray // | |
18 | // This class contains the ESD track space-points which are used during // | |
19 | // the alignment procedures. Each space-point consist of 3 coordinates // | |
20 | // (and their errors) and the index of the sub-detector which contains // | |
21 | // the space-point. // | |
22 | // cvetan.cheshkov@cern.ch 3/11/2005 // | |
23 | ////////////////////////////////////////////////////////////////////////////// | |
24 | ||
46ae650f | 25 | #include <TMath.h> |
4dcdc747 | 26 | #include <TMatrixD.h> |
46ae650f | 27 | #include <TMatrixDSym.h> |
28 | ||
98937d93 | 29 | #include "AliTrackPointArray.h" |
30 | ||
31 | ClassImp(AliTrackPointArray) | |
32 | ||
33 | //______________________________________________________________________________ | |
fe12e09c | 34 | AliTrackPointArray::AliTrackPointArray() : |
35 | TObject(), | |
bead9796 | 36 | fSorted(kFALSE), |
fe12e09c | 37 | fNPoints(0), |
38 | fX(0), | |
39 | fY(0), | |
40 | fZ(0), | |
41 | fSize(0), | |
42 | fCov(0), | |
43 | fVolumeID(0) | |
98937d93 | 44 | { |
98937d93 | 45 | } |
46 | ||
47 | //______________________________________________________________________________ | |
48 | AliTrackPointArray::AliTrackPointArray(Int_t npoints): | |
fe12e09c | 49 | TObject(), |
bead9796 | 50 | fSorted(kFALSE), |
fe12e09c | 51 | fNPoints(npoints), |
52 | fX(new Float_t[npoints]), | |
53 | fY(new Float_t[npoints]), | |
54 | fZ(new Float_t[npoints]), | |
55 | fSize(6*npoints), | |
56 | fCov(new Float_t[fSize]), | |
57 | fVolumeID(new UShort_t[npoints]) | |
98937d93 | 58 | { |
59 | // Constructor | |
60 | // | |
a090c665 | 61 | for (Int_t ip=0; ip<npoints;ip++){ |
62 | fX[ip]=0; | |
63 | fY[ip]=0; | |
64 | fZ[ip]=0; | |
65 | fVolumeID[ip]=0; | |
66 | for (Int_t icov=0;icov<6; icov++) | |
67 | fCov[6*ip+icov]=0; | |
68 | } | |
98937d93 | 69 | } |
70 | ||
71 | //______________________________________________________________________________ | |
72 | AliTrackPointArray::AliTrackPointArray(const AliTrackPointArray &array): | |
fe12e09c | 73 | TObject(array), |
bead9796 | 74 | fSorted(array.fSorted), |
fe12e09c | 75 | fNPoints(array.fNPoints), |
76 | fX(new Float_t[fNPoints]), | |
77 | fY(new Float_t[fNPoints]), | |
78 | fZ(new Float_t[fNPoints]), | |
79 | fSize(array.fSize), | |
80 | fCov(new Float_t[fSize]), | |
81 | fVolumeID(new UShort_t[fNPoints]) | |
98937d93 | 82 | { |
83 | // Copy constructor | |
84 | // | |
98937d93 | 85 | memcpy(fX,array.fX,fNPoints*sizeof(Float_t)); |
86 | memcpy(fY,array.fY,fNPoints*sizeof(Float_t)); | |
87 | memcpy(fZ,array.fZ,fNPoints*sizeof(Float_t)); | |
88 | memcpy(fVolumeID,array.fVolumeID,fNPoints*sizeof(UShort_t)); | |
89 | memcpy(fCov,array.fCov,fSize*sizeof(Float_t)); | |
90 | } | |
91 | ||
92 | //_____________________________________________________________________________ | |
93 | AliTrackPointArray &AliTrackPointArray::operator =(const AliTrackPointArray& array) | |
94 | { | |
95 | // assignment operator | |
96 | // | |
97 | if(this==&array) return *this; | |
98 | ((TObject *)this)->operator=(array); | |
99 | ||
bead9796 | 100 | fSorted = array.fSorted; |
98937d93 | 101 | fNPoints = array.fNPoints; |
102 | fSize = array.fSize; | |
6989bff3 | 103 | delete [] fX; |
98937d93 | 104 | fX = new Float_t[fNPoints]; |
6989bff3 | 105 | delete [] fY; |
98937d93 | 106 | fY = new Float_t[fNPoints]; |
6989bff3 | 107 | delete [] fZ; |
98937d93 | 108 | fZ = new Float_t[fNPoints]; |
6989bff3 | 109 | delete [] fVolumeID; |
98937d93 | 110 | fVolumeID = new UShort_t[fNPoints]; |
6989bff3 | 111 | delete [] fCov; |
98937d93 | 112 | fCov = new Float_t[fSize]; |
113 | memcpy(fX,array.fX,fNPoints*sizeof(Float_t)); | |
114 | memcpy(fY,array.fY,fNPoints*sizeof(Float_t)); | |
115 | memcpy(fZ,array.fZ,fNPoints*sizeof(Float_t)); | |
116 | memcpy(fVolumeID,array.fVolumeID,fNPoints*sizeof(UShort_t)); | |
117 | memcpy(fCov,array.fCov,fSize*sizeof(Float_t)); | |
118 | ||
119 | return *this; | |
120 | } | |
121 | ||
122 | //______________________________________________________________________________ | |
123 | AliTrackPointArray::~AliTrackPointArray() | |
124 | { | |
125 | // Destructor | |
126 | // | |
127 | delete [] fX; | |
128 | delete [] fY; | |
129 | delete [] fZ; | |
130 | delete [] fVolumeID; | |
131 | delete [] fCov; | |
132 | } | |
133 | ||
134 | ||
135 | //______________________________________________________________________________ | |
136 | Bool_t AliTrackPointArray::AddPoint(Int_t i, const AliTrackPoint *p) | |
137 | { | |
138 | // Add a point to the array at position i | |
139 | // | |
140 | if (i >= fNPoints) return kFALSE; | |
141 | fX[i] = p->GetX(); | |
142 | fY[i] = p->GetY(); | |
143 | fZ[i] = p->GetZ(); | |
144 | fVolumeID[i] = p->GetVolumeID(); | |
145 | memcpy(&fCov[6*i],p->GetCov(),6*sizeof(Float_t)); | |
146 | return kTRUE; | |
147 | } | |
148 | ||
ec9e17f9 | 149 | |
98937d93 | 150 | //______________________________________________________________________________ |
151 | Bool_t AliTrackPointArray::GetPoint(AliTrackPoint &p, Int_t i) const | |
152 | { | |
153 | // Get the point at position i | |
154 | // | |
155 | if (i >= fNPoints) return kFALSE; | |
156 | p.SetXYZ(fX[i],fY[i],fZ[i],&fCov[6*i]); | |
157 | p.SetVolumeID(fVolumeID[i]); | |
158 | return kTRUE; | |
159 | } | |
160 | ||
161 | //______________________________________________________________________________ | |
162 | Bool_t AliTrackPointArray::HasVolumeID(UShort_t volid) const | |
163 | { | |
164 | // This method checks if the array | |
165 | // has at least one hit in the detector | |
166 | // volume defined by volid | |
167 | Bool_t check = kFALSE; | |
168 | for (Int_t ipoint = 0; ipoint < fNPoints; ipoint++) | |
169 | if (fVolumeID[ipoint] == volid) check = kTRUE; | |
170 | ||
171 | return check; | |
172 | } | |
173 | ||
bead9796 | 174 | //______________________________________________________________________________ |
175 | void AliTrackPointArray::Sort(Bool_t down) | |
176 | { | |
177 | // Sort the array by the values of Y-coordinate of the track points. | |
178 | // The order is given by "down". | |
179 | // Optimized more for maintenance rather than for speed. | |
180 | ||
181 | if (fSorted) return; | |
182 | ||
183 | Int_t *index=new Int_t[fNPoints]; | |
184 | AliTrackPointArray a(*this); | |
185 | TMath::Sort(fNPoints,a.GetY(),index,down); | |
186 | ||
187 | AliTrackPoint p; | |
188 | for (Int_t i = 0; i < fNPoints; i++) { | |
189 | a.GetPoint(p,index[i]); | |
190 | AddPoint(i,&p); | |
191 | } | |
192 | ||
193 | delete[] index; | |
194 | fSorted=kTRUE; | |
195 | } | |
196 | ||
98937d93 | 197 | ClassImp(AliTrackPoint) |
198 | ||
199 | //______________________________________________________________________________ | |
fe12e09c | 200 | AliTrackPoint::AliTrackPoint() : |
201 | TObject(), | |
202 | fX(0), | |
203 | fY(0), | |
204 | fZ(0), | |
205 | fVolumeID(0) | |
98937d93 | 206 | { |
207 | // Default constructor | |
208 | // | |
98937d93 | 209 | memset(fCov,0,6*sizeof(Float_t)); |
210 | } | |
211 | ||
212 | ||
213 | //______________________________________________________________________________ | |
fe12e09c | 214 | AliTrackPoint::AliTrackPoint(Float_t x, Float_t y, Float_t z, const Float_t *cov, UShort_t volid) : |
215 | TObject(), | |
216 | fX(0), | |
217 | fY(0), | |
218 | fZ(0), | |
219 | fVolumeID(0) | |
98937d93 | 220 | { |
221 | // Constructor | |
222 | // | |
223 | SetXYZ(x,y,z,cov); | |
224 | SetVolumeID(volid); | |
225 | } | |
226 | ||
227 | //______________________________________________________________________________ | |
fe12e09c | 228 | AliTrackPoint::AliTrackPoint(const Float_t *xyz, const Float_t *cov, UShort_t volid) : |
229 | TObject(), | |
230 | fX(0), | |
231 | fY(0), | |
232 | fZ(0), | |
233 | fVolumeID(0) | |
98937d93 | 234 | { |
235 | // Constructor | |
236 | // | |
237 | SetXYZ(xyz[0],xyz[1],xyz[2],cov); | |
238 | SetVolumeID(volid); | |
239 | } | |
240 | ||
241 | //______________________________________________________________________________ | |
242 | AliTrackPoint::AliTrackPoint(const AliTrackPoint &p): | |
fe12e09c | 243 | TObject(p), |
244 | fX(0), | |
245 | fY(0), | |
246 | fZ(0), | |
247 | fVolumeID(0) | |
98937d93 | 248 | { |
249 | // Copy constructor | |
250 | // | |
251 | SetXYZ(p.fX,p.fY,p.fZ,&(p.fCov[0])); | |
252 | SetVolumeID(p.fVolumeID); | |
253 | } | |
254 | ||
255 | //_____________________________________________________________________________ | |
256 | AliTrackPoint &AliTrackPoint::operator =(const AliTrackPoint& p) | |
257 | { | |
258 | // assignment operator | |
259 | // | |
260 | if(this==&p) return *this; | |
261 | ((TObject *)this)->operator=(p); | |
262 | ||
263 | SetXYZ(p.fX,p.fY,p.fZ,&(p.fCov[0])); | |
264 | SetVolumeID(p.fVolumeID); | |
265 | ||
266 | return *this; | |
267 | } | |
268 | ||
269 | //______________________________________________________________________________ | |
270 | void AliTrackPoint::SetXYZ(Float_t x, Float_t y, Float_t z, const Float_t *cov) | |
271 | { | |
272 | // Set XYZ coordinates and their cov matrix | |
273 | // | |
274 | fX = x; | |
275 | fY = y; | |
276 | fZ = z; | |
277 | if (cov) | |
278 | memcpy(fCov,cov,6*sizeof(Float_t)); | |
279 | } | |
280 | ||
281 | //______________________________________________________________________________ | |
282 | void AliTrackPoint::SetXYZ(const Float_t *xyz, const Float_t *cov) | |
283 | { | |
284 | // Set XYZ coordinates and their cov matrix | |
285 | // | |
286 | SetXYZ(xyz[0],xyz[1],xyz[2],cov); | |
287 | } | |
288 | ||
289 | //______________________________________________________________________________ | |
290 | void AliTrackPoint::GetXYZ(Float_t *xyz, Float_t *cov) const | |
291 | { | |
292 | xyz[0] = fX; | |
293 | xyz[1] = fY; | |
294 | xyz[2] = fZ; | |
295 | if (cov) | |
296 | memcpy(cov,fCov,6*sizeof(Float_t)); | |
297 | } | |
46ae650f | 298 | |
299 | //______________________________________________________________________________ | |
300 | Float_t AliTrackPoint::GetResidual(const AliTrackPoint &p, Bool_t weighted) const | |
301 | { | |
302 | // This method calculates the track to space-point residuals. The track | |
303 | // interpolation is also stored as AliTrackPoint. Using the option | |
304 | // 'weighted' one can calculate the residual either with or without | |
305 | // taking into account the covariance matrix of the space-point and | |
306 | // track interpolation. The second case the residual becomes a pull. | |
307 | ||
308 | Float_t res = 0; | |
309 | ||
310 | if (!weighted) { | |
311 | Float_t xyz[3],xyzp[3]; | |
312 | GetXYZ(xyz); | |
313 | p.GetXYZ(xyzp); | |
314 | res = (xyz[0]-xyzp[0])*(xyz[0]-xyzp[0])+ | |
315 | (xyz[1]-xyzp[1])*(xyz[1]-xyzp[1])+ | |
316 | (xyz[2]-xyzp[2])*(xyz[2]-xyzp[2]); | |
317 | } | |
318 | else { | |
319 | Float_t xyz[3],xyzp[3]; | |
320 | Float_t cov[6],covp[6]; | |
321 | GetXYZ(xyz,cov); | |
322 | TMatrixDSym mcov(3); | |
323 | mcov(0,0) = cov[0]; mcov(0,1) = cov[1]; mcov(0,2) = cov[2]; | |
324 | mcov(1,0) = cov[1]; mcov(1,1) = cov[3]; mcov(1,2) = cov[4]; | |
325 | mcov(2,0) = cov[2]; mcov(2,1) = cov[4]; mcov(2,2) = cov[5]; | |
326 | p.GetXYZ(xyzp,covp); | |
327 | TMatrixDSym mcovp(3); | |
328 | mcovp(0,0) = covp[0]; mcovp(0,1) = covp[1]; mcovp(0,2) = covp[2]; | |
329 | mcovp(1,0) = covp[1]; mcovp(1,1) = covp[3]; mcovp(1,2) = covp[4]; | |
330 | mcovp(2,0) = covp[2]; mcovp(2,1) = covp[4]; mcovp(2,2) = covp[5]; | |
331 | TMatrixDSym msum = mcov + mcovp; | |
332 | msum.Invert(); | |
cc345ce3 | 333 | // mcov.Print(); mcovp.Print(); msum.Print(); |
46ae650f | 334 | if (msum.IsValid()) { |
335 | for (Int_t i = 0; i < 3; i++) | |
336 | for (Int_t j = 0; j < 3; j++) | |
337 | res += (xyz[i]-xyzp[i])*(xyz[j]-xyzp[j])*msum(i,j); | |
338 | } | |
339 | } | |
340 | ||
341 | return res; | |
342 | } | |
343 | ||
4dcdc747 | 344 | //_____________________________________________________________________________ |
345 | Bool_t AliTrackPoint::GetPCA(const AliTrackPoint &p, AliTrackPoint &out) const | |
346 | { | |
347 | // | |
348 | // Get the intersection point between this point and | |
349 | // the point "p" belongs to. | |
350 | // The result is stored as a point 'out' | |
351 | // return kFALSE in case of failure. | |
352 | out.SetXYZ(0,0,0); | |
353 | ||
354 | TMatrixD t(3,1); | |
355 | t(0,0)=GetX(); | |
356 | t(1,0)=GetY(); | |
357 | t(2,0)=GetZ(); | |
358 | ||
359 | TMatrixDSym tC(3); | |
360 | { | |
361 | const Float_t *cv=GetCov(); | |
362 | tC(0,0)=cv[0]; tC(0,1)=cv[1]; tC(0,2)=cv[2]; | |
363 | tC(1,0)=cv[1]; tC(1,1)=cv[3]; tC(1,2)=cv[4]; | |
364 | tC(2,0)=cv[2]; tC(2,1)=cv[4]; tC(2,2)=cv[5]; | |
365 | } | |
366 | ||
367 | TMatrixD m(3,1); | |
368 | m(0,0)=p.GetX(); | |
369 | m(1,0)=p.GetY(); | |
370 | m(2,0)=p.GetZ(); | |
371 | ||
372 | TMatrixDSym mC(3); | |
373 | { | |
374 | const Float_t *cv=p.GetCov(); | |
375 | mC(0,0)=cv[0]; mC(0,1)=cv[1]; mC(0,2)=cv[2]; | |
376 | mC(1,0)=cv[1]; mC(1,1)=cv[3]; mC(1,2)=cv[4]; | |
377 | mC(2,0)=cv[2]; mC(2,1)=cv[4]; mC(2,2)=cv[5]; | |
378 | } | |
379 | ||
380 | TMatrixDSym tmW(tC); | |
381 | tmW+=mC; | |
382 | tmW.Invert(); | |
383 | if (!tmW.IsValid()) return kFALSE; | |
384 | ||
385 | TMatrixD mW(tC,TMatrixD::kMult,tmW); | |
386 | TMatrixD tW(mC,TMatrixD::kMult,tmW); | |
387 | ||
388 | TMatrixD mi(mW,TMatrixD::kMult,m); | |
389 | TMatrixD ti(tW,TMatrixD::kMult,t); | |
390 | ti+=mi; | |
391 | ||
392 | TMatrixD iC(tC,TMatrixD::kMult,tmW); | |
393 | iC*=mC; | |
394 | ||
395 | out.SetXYZ(ti(0,0),ti(1,0),ti(2,0)); | |
396 | UShort_t id=p.GetVolumeID(); | |
397 | out.SetVolumeID(id); | |
398 | ||
399 | return kTRUE; | |
400 | } | |
401 | ||
46ae650f | 402 | //______________________________________________________________________________ |
403 | Float_t AliTrackPoint::GetAngle() const | |
404 | { | |
405 | // The method uses the covariance matrix of | |
406 | // the space-point in order to extract the | |
407 | // orientation of the detector plane. | |
408 | // The rotation in XY plane only is calculated. | |
409 | ||
8e52c1a8 | 410 | Float_t phi= TMath::ATan2(TMath::Sqrt(fCov[0]),TMath::Sqrt(fCov[3])); |
411 | if (fCov[1] > 0) { | |
412 | phi = TMath::Pi() - phi; | |
413 | if ((fY-fX) < 0) phi += TMath::Pi(); | |
414 | } | |
46ae650f | 415 | else { |
8e52c1a8 | 416 | if ((fX+fY) < 0) phi += TMath::Pi(); |
417 | } | |
418 | ||
419 | return phi; | |
420 | ||
46ae650f | 421 | } |
422 | ||
423 | //_____________________________________________________________________________ | |
424 | AliTrackPoint& AliTrackPoint::Rotate(Float_t alpha) const | |
425 | { | |
426 | // Transform the space-point coordinates | |
427 | // and covariance matrix from global to | |
428 | // local (detector plane) coordinate system | |
429 | // XY plane rotation only | |
430 | ||
431 | static AliTrackPoint p; | |
432 | p = *this; | |
433 | ||
434 | Float_t xyz[3],cov[6]; | |
435 | GetXYZ(xyz,cov); | |
436 | ||
437 | Float_t sin = TMath::Sin(alpha), cos = TMath::Cos(alpha); | |
438 | ||
439 | Float_t newxyz[3],newcov[6]; | |
440 | newxyz[0] = cos*xyz[0] + sin*xyz[1]; | |
441 | newxyz[1] = cos*xyz[1] - sin*xyz[0]; | |
442 | newxyz[2] = xyz[2]; | |
443 | ||
444 | newcov[0] = cov[0]*cos*cos+ | |
445 | 2*cov[1]*sin*cos+ | |
446 | cov[3]*sin*sin; | |
447 | newcov[1] = cov[1]*(cos*cos-sin*sin)+ | |
448 | (cov[3]-cov[0])*sin*cos; | |
449 | newcov[2] = cov[2]*cos+ | |
450 | cov[4]*sin; | |
451 | newcov[3] = cov[0]*sin*sin- | |
452 | 2*cov[1]*sin*cos+ | |
453 | cov[3]*cos*cos; | |
454 | newcov[4] = cov[4]*cos- | |
455 | cov[2]*sin; | |
456 | newcov[5] = cov[5]; | |
457 | ||
458 | p.SetXYZ(newxyz,newcov); | |
459 | p.SetVolumeID(GetVolumeID()); | |
460 | ||
461 | return p; | |
462 | } | |
463 | ||
464 | //_____________________________________________________________________________ | |
465 | AliTrackPoint& AliTrackPoint::MasterToLocal() const | |
466 | { | |
467 | // Transform the space-point coordinates | |
468 | // and the covariance matrix from the | |
469 | // (master) to the local (tracking) | |
470 | // coordinate system | |
471 | ||
472 | Float_t alpha = GetAngle(); | |
473 | return Rotate(alpha); | |
474 | } | |
475 | ||
476 | //_____________________________________________________________________________ | |
477 | void AliTrackPoint::Print(Option_t *) const | |
478 | { | |
479 | // Print the space-point coordinates and | |
480 | // covariance matrix | |
481 | ||
482 | printf("VolumeID=%d\n", GetVolumeID()); | |
483 | printf("X = %12.6f Tx = %12.6f%12.6f%12.6f\n", fX, fCov[0], fCov[1], fCov[2]); | |
484 | printf("Y = %12.6f Ty = %12.6f%12.6f%12.6f\n", fY, fCov[1], fCov[3], fCov[4]); | |
485 | printf("Z = %12.6f Tz = %12.6f%12.6f%12.6f\n", fZ, fCov[2], fCov[4], fCov[5]); | |
486 | ||
487 | } | |
ec9e17f9 | 488 | |
489 | ||
490 | //________________________________ | |
491 | void AliTrackPoint::SetAlignCovMatrix(const TMatrixDSym alignparmtrx){ | |
492 | // Add the uncertainty on the cluster position due to alignment | |
493 | // (using the 6x6 AliAlignObj Cov. Matrix alignparmtrx) to the already | |
494 | // present Cov. Matrix | |
495 | ||
496 | TMatrixDSym cov(3); | |
497 | TMatrixD coval(3,3); | |
498 | TMatrixD jacob(3,6); | |
499 | Float_t newcov[6]; | |
500 | ||
501 | cov(0,0)=fCov[0]; | |
502 | cov(1,0)=cov(0,1)=fCov[1]; | |
503 | cov(2,0)=cov(0,2)=fCov[2]; | |
504 | cov(1,1)=fCov[3]; | |
505 | cov(2,1)=cov(1,2)=fCov[4]; | |
506 | cov(2,2)=fCov[5]; | |
507 | ||
508 | jacob(0,0) = 1; jacob(1,0) = 0; jacob(2,0) = 0; | |
509 | jacob(0,1) = 0; jacob(1,1) = 1; jacob(2,1) = 0; | |
510 | jacob(0,2) = 0; jacob(1,2) = 0; jacob(2,2) = 1; | |
511 | jacob(0,3) = 0; jacob(1,3) =-fZ; jacob(2,3) = fY; | |
512 | jacob(0,4) = fZ; jacob(1,4) = 0; jacob(2,4) =-fX; | |
347c4515 | 513 | jacob(0,5) = -fY; jacob(1,5) = fX; jacob(2,5) = 0; |
ec9e17f9 | 514 | |
515 | TMatrixD jacobT=jacob.T();jacob.T(); | |
516 | ||
517 | coval=jacob*alignparmtrx*jacobT+cov; | |
518 | ||
519 | ||
520 | newcov[0]=coval(0,0); | |
521 | newcov[1]=coval(1,0); | |
522 | newcov[2]=coval(2,0); | |
523 | newcov[3]=coval(1,1); | |
524 | newcov[4]=coval(2,1); | |
525 | newcov[5]=coval(2,2); | |
526 | ||
527 | SetXYZ(fX,fY,fZ,newcov); | |
528 | ||
529 | } | |
bead9796 | 530 |