Make the Scan method public
[u/mrichter/AliRoot.git] / MUON / AliMUONGeometryMisAligner.cxx
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21dd83fc 1/**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
3 * SigmaEffect_thetadegrees *
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 purpeateose. It is *
13 * provided "as is" without express or implied warranty. *
14 **************************************************************************/
15
16// $Id$
17//
3d1463c8 18//-----------------------------------------------------------------------------
a9aad96e 19/// \class AliMUONGeometryMisAligner
20///
21/// This performs the misalignment on an existing muon arm geometry
22/// based on the standard definition of the detector elements in
23/// $ALICE_ROOT/MUON/data
24///
25/// --> User has to specify the magnitude of the alignments, in the Cartesian
26/// co-ordiantes (which are used to apply translation misalignments) and in the
27/// spherical co-ordinates (which are used to apply angular displacements)
28///
29/// --> If the constructor is used with no arguments, user has to set
30/// misalignment ranges by hand using the methods :
31/// SetApplyMisAlig, SetMaxCartMisAlig, SetMaxAngMisAlig, SetXYAngMisAligFactor
32/// (last method takes account of the fact that the misalingment is greatest in
33/// the XY plane, since the detection elements are fixed to a support structure
34/// in this plane. Misalignments in the XZ and YZ plane will be very small
35/// compared to those in the XY plane, which are small already - of the order
36/// of microns)
37///
38/// Note : If the detection elements are allowed to be misaligned in all
39/// directions, this has consequences for the alignment algorithm
40/// (AliMUONAlignment), which needs to know the number of free parameters.
41/// Eric only allowed 3 : x,y,theta_xy, but in principle z and the other
42/// two angles are alignable as well.
43///
4600314b 44/// \author Bruce Becker, Javier Castillo
3d1463c8 45//-----------------------------------------------------------------------------
21dd83fc 46
21dd83fc 47#include "AliMUONGeometryMisAligner.h"
48#include "AliMUONGeometryTransformer.h"
49#include "AliMUONGeometryModuleTransformer.h"
50#include "AliMUONGeometryDetElement.h"
21dd83fc 51#include "AliMUONGeometryBuilder.h"
8c95578a 52#include "AliMpExMap.h"
630711ed 53#include "AliMpExMapIterator.h"
8c95578a 54
4818a9b7 55#include "AliAlignObjMatrix.h"
fdc9da07 56#include "AliMathBase.h"
ef79ed3a 57#include "AliLog.h"
58
4818a9b7 59#include <TClonesArray.h>
328e160e 60#include <TGeoMatrix.h>
4818a9b7 61#include <TMatrixDSym.h>
21dd83fc 62#include <TMath.h>
63#include <TRandom.h>
ef4cb4f1 64#include <Riostream.h>
21dd83fc 65
a9aad96e 66/// \cond CLASSIMP
21dd83fc 67ClassImp(AliMUONGeometryMisAligner)
a9aad96e 68/// \endcond
69
21dd83fc 70//______________________________________________________________________________
328e160e 71AliMUONGeometryMisAligner::AliMUONGeometryMisAligner(Double_t cartXMisAligM, Double_t cartXMisAligW, Double_t cartYMisAligM, Double_t cartYMisAligW, Double_t angMisAligM, Double_t angMisAligW)
8395bff1 72 : TObject(),
73 fUseUni(kFALSE),
74 fUseGaus(kTRUE),
8395bff1 75 fXYAngMisAligFactor(0.0),
fdc9da07 76 fZCartMisAligFactor(0.0)
328e160e 77{
78 /// Standard constructor
4600314b 79 for (Int_t i=0; i<6; i++){
80 for (Int_t j=0; j<2; j++){
81 fDetElemMisAlig[i][j] = 0.0;
82 fModuleMisAlig[i][j] = 0.0;
83 }
84 }
85 fDetElemMisAlig[0][0] = cartXMisAligM;
86 fDetElemMisAlig[0][1] = cartXMisAligW;
87 fDetElemMisAlig[1][0] = cartYMisAligM;
88 fDetElemMisAlig[1][1] = cartYMisAligW;
89 fDetElemMisAlig[5][0] = angMisAligM;
90 fDetElemMisAlig[5][1] = angMisAligW;
91
328e160e 92}
93
94//______________________________________________________________________________
95AliMUONGeometryMisAligner::AliMUONGeometryMisAligner(Double_t cartMisAligM, Double_t cartMisAligW, Double_t angMisAligM, Double_t angMisAligW)
8395bff1 96 : TObject(),
97 fUseUni(kFALSE),
98 fUseGaus(kTRUE),
8395bff1 99 fXYAngMisAligFactor(0.0),
fdc9da07 100 fZCartMisAligFactor(0.0)
328e160e 101{
102 /// Standard constructor
4600314b 103 for (Int_t i=0; i<6; i++){
104 for (Int_t j=0; j<2; j++){
105 fDetElemMisAlig[i][j] = 0.0;
106 fModuleMisAlig[i][j] = 0.0;
107 }
108 }
109 fDetElemMisAlig[0][0] = cartMisAligM;
110 fDetElemMisAlig[0][1] = cartMisAligW;
111 fDetElemMisAlig[1][0] = cartMisAligM;
112 fDetElemMisAlig[1][1] = cartMisAligW;
113 fDetElemMisAlig[5][0] = angMisAligM;
114 fDetElemMisAlig[5][1] = angMisAligW;
115
328e160e 116}
117
118//______________________________________________________________________________
21dd83fc 119AliMUONGeometryMisAligner::AliMUONGeometryMisAligner(Double_t cartMisAlig, Double_t angMisAlig)
8395bff1 120 : TObject(),
121 fUseUni(kTRUE),
122 fUseGaus(kFALSE),
8395bff1 123 fXYAngMisAligFactor(0.0),
fdc9da07 124 fZCartMisAligFactor(0.0)
21dd83fc 125{
126 /// Standard constructor
4600314b 127 for (Int_t i=0; i<6; i++){
128 for (Int_t j=0; j<2; j++){
129 fDetElemMisAlig[i][j] = 0.0;
130 fModuleMisAlig[i][j] = 0.0;
131 }
132 }
133 fDetElemMisAlig[0][1] = cartMisAlig;
134 fDetElemMisAlig[1][1] = cartMisAlig;
135 fDetElemMisAlig[5][1] = angMisAlig;
136
21dd83fc 137}
138
139//_____________________________________________________________________________
140AliMUONGeometryMisAligner::AliMUONGeometryMisAligner()
8395bff1 141 : TObject(),
142 fUseUni(kTRUE),
143 fUseGaus(kFALSE),
8395bff1 144 fXYAngMisAligFactor(0.0),
fdc9da07 145 fZCartMisAligFactor(0.0)
21dd83fc 146{
8395bff1 147 /// Default constructor
4600314b 148 for (Int_t i=0; i<6; i++){
149 for (Int_t j=0; j<2; j++){
150 fDetElemMisAlig[i][j] = 0.0;
151 fModuleMisAlig[i][j] = 0.0;
152 }
153 }
21dd83fc 154}
155
156//______________________________________________________________________________
21dd83fc 157AliMUONGeometryMisAligner::~AliMUONGeometryMisAligner()
158{
159/// Destructor
160
21dd83fc 161}
162
490da820 163//_________________________________________________________________________
21dd83fc 164void
165AliMUONGeometryMisAligner::SetXYAngMisAligFactor(Double_t factor)
166{
328e160e 167 /// Set XY angular misalign factor
490da820 168
4600314b 169 if (TMath::Abs(factor) > 1.0 && factor > 0.){
21dd83fc 170 fXYAngMisAligFactor = factor;
4600314b 171 fDetElemMisAlig[3][0] = fDetElemMisAlig[5][0]*factor; // These lines were
172 fDetElemMisAlig[3][1] = fDetElemMisAlig[5][1]*factor; // added to keep
173 fDetElemMisAlig[4][0] = fDetElemMisAlig[5][0]*factor; // backward
174 fDetElemMisAlig[4][1] = fDetElemMisAlig[5][1]*factor; // compatibility
175 }
21dd83fc 176 else
1130977f 177 AliError(Form("Invalid XY angular misalign factor, %f", factor));
328e160e 178}
179
180//_________________________________________________________________________
181void AliMUONGeometryMisAligner::SetZCartMisAligFactor(Double_t factor)
182{
183 /// Set XY angular misalign factor
4600314b 184 if (TMath::Abs(factor)<1.0 && factor>0.) {
328e160e 185 fZCartMisAligFactor = factor;
4600314b 186 fDetElemMisAlig[2][0] = fDetElemMisAlig[0][0]; // These lines were added to
187 fDetElemMisAlig[2][1] = fDetElemMisAlig[0][1]*factor; // keep backward compatibility
188 }
328e160e 189 else
1130977f 190 AliError(Form("Invalid Z cartesian misalign factor, %f", factor));
328e160e 191}
192
193//_________________________________________________________________________
4600314b 194void AliMUONGeometryMisAligner::GetUniMisAlign(Double_t cartMisAlig[3], Double_t angMisAlig[3], const Double_t lParMisAlig[6][2]) const
328e160e 195{
196 /// Misalign using uniform distribution
a9aad96e 197 /**
328e160e 198 misalign the centre of the local transformation
199 rotation axes :
200 fAngMisAlig[1,2,3] = [x,y,z]
201 Assume that misalignment about the x and y axes (misalignment of z plane)
202 is much smaller, since the entire detection plane has to be moved (the
203 detection elements are on a support structure), while rotation of the x-y
204 plane is more free.
205 */
fdc9da07 206 cartMisAlig[0] = gRandom->Uniform(-lParMisAlig[0][1]+lParMisAlig[0][0], lParMisAlig[0][0]+lParMisAlig[0][1]);
207 cartMisAlig[1] = gRandom->Uniform(-lParMisAlig[1][1]+lParMisAlig[1][0], lParMisAlig[1][0]+lParMisAlig[1][1]);
208 cartMisAlig[2] = gRandom->Uniform(-lParMisAlig[2][1]+lParMisAlig[2][0], lParMisAlig[2][0]+lParMisAlig[2][1]);
328e160e 209
fdc9da07 210 angMisAlig[0] = gRandom->Uniform(-lParMisAlig[3][1]+lParMisAlig[3][0], lParMisAlig[3][0]+lParMisAlig[3][1]);
211 angMisAlig[1] = gRandom->Uniform(-lParMisAlig[4][1]+lParMisAlig[4][0], lParMisAlig[4][0]+lParMisAlig[4][1]);
212 angMisAlig[2] = gRandom->Uniform(-lParMisAlig[5][1]+lParMisAlig[5][0], lParMisAlig[5][0]+lParMisAlig[5][1]); // degrees
328e160e 213}
214
215//_________________________________________________________________________
4600314b 216void AliMUONGeometryMisAligner::GetGausMisAlign(Double_t cartMisAlig[3], Double_t angMisAlig[3], const Double_t lParMisAlig[6][2]) const
328e160e 217{
218 /// Misalign using gaussian distribution
a9aad96e 219 /**
328e160e 220 misalign the centre of the local transformation
221 rotation axes :
222 fAngMisAlig[1,2,3] = [x,y,z]
223 Assume that misalignment about the x and y axes (misalignment of z plane)
224 is much smaller, since the entire detection plane has to be moved (the
225 detection elements are on a support structure), while rotation of the x-y
226 plane is more free.
227 */
fdc9da07 228 cartMisAlig[0] = AliMathBase::TruncatedGaus(lParMisAlig[0][0], lParMisAlig[0][1], 3.*lParMisAlig[0][1]);
229 cartMisAlig[1] = AliMathBase::TruncatedGaus(lParMisAlig[1][0], lParMisAlig[1][1], 3.*lParMisAlig[1][1]);
230 cartMisAlig[2] = AliMathBase::TruncatedGaus(lParMisAlig[2][0], lParMisAlig[2][1], 3.*lParMisAlig[2][1]);
328e160e 231
fdc9da07 232 angMisAlig[0] = AliMathBase::TruncatedGaus(lParMisAlig[3][0], lParMisAlig[3][1], 3.*lParMisAlig[3][1]);
233 angMisAlig[1] = AliMathBase::TruncatedGaus(lParMisAlig[4][0], lParMisAlig[4][1], 3.*lParMisAlig[4][1]);
234 angMisAlig[2] = AliMathBase::TruncatedGaus(lParMisAlig[5][0], lParMisAlig[5][1], 3.*lParMisAlig[5][1]); // degrees
21dd83fc 235}
236
237//_________________________________________________________________________
4600314b 238TGeoCombiTrans AliMUONGeometryMisAligner::MisAlignDetElem(const TGeoCombiTrans & transform) const
21dd83fc 239{
4600314b 240 /// Misalign given transformation and return the misaligned transformation.
241 /// Use misalignment parameters for detection elements.
242 /// Note that applied misalignments are small deltas with respect to the detection
243 /// element own ideal local reference frame. Thus deltaTransf represents
244 /// the transformation to go from the misaligned d.e. local coordinates to the
245 /// ideal d.e. local coordinates.
246 /// Also note that this -is not- what is in the ALICE alignment framework known
247 /// as local nor global (see AliMUONGeometryMisAligner::MisAlign)
21dd83fc 248
249 Double_t cartMisAlig[3] = {0,0,0};
250 Double_t angMisAlig[3] = {0,0,0};
328e160e 251
252 if (fUseUni) {
4600314b 253 GetUniMisAlign(cartMisAlig,angMisAlig,fDetElemMisAlig);
328e160e 254 }
255 else {
256 if (!fUseGaus) {
257 AliWarning("Neither uniform nor gausian distribution is set! Will use gausian...");
258 }
4600314b 259 GetGausMisAlign(cartMisAlig,angMisAlig,fDetElemMisAlig);
328e160e 260 }
261
4600314b 262 TGeoTranslation deltaTrans(cartMisAlig[0], cartMisAlig[1], cartMisAlig[2]);
263 TGeoRotation deltaRot;
264 deltaRot.RotateX(angMisAlig[0]);
265 deltaRot.RotateY(angMisAlig[1]);
266 deltaRot.RotateZ(angMisAlig[2]);
267
268 TGeoCombiTrans deltaTransf(deltaTrans,deltaRot);
269 TGeoHMatrix newTransfMat = transform * deltaTransf;
270
ef4cb4f1 271 AliInfo(Form("Rotated DE by %f about Z axis.", angMisAlig[2]));
4600314b 272
273 return TGeoCombiTrans(newTransfMat);
274}
275
276//_________________________________________________________________________
277TGeoCombiTrans AliMUONGeometryMisAligner::MisAlignModule(const TGeoCombiTrans & transform) const
278{
279 /// Misalign given transformation and return the misaligned transformation.
280 /// Use misalignment parameters for modules.
281 /// Note that applied misalignments are small deltas with respect to the module
282 /// own ideal local reference frame. Thus deltaTransf represents
283 /// the transformation to go from the misaligned module local coordinates to the
284 /// ideal module local coordinates.
285 /// Also note that this -is not- what is in the ALICE alignment framework known
286 /// as local nor global (see AliMUONGeometryMisAligner::MisAlign)
21dd83fc 287
4600314b 288 Double_t cartMisAlig[3] = {0,0,0};
289 Double_t angMisAlig[3] = {0,0,0};
290
291 if (fUseUni) {
292 GetUniMisAlign(cartMisAlig,angMisAlig,fModuleMisAlig);
293 }
294 else {
295 if (!fUseGaus) {
296 AliWarning("Neither uniform nor gausian distribution is set! Will use gausian...");
297 }
298 GetGausMisAlign(cartMisAlig,angMisAlig,fModuleMisAlig);
299 }
300
301 TGeoTranslation deltaTrans(cartMisAlig[0], cartMisAlig[1], cartMisAlig[2]);
302 TGeoRotation deltaRot;
303 deltaRot.RotateX(angMisAlig[0]);
304 deltaRot.RotateY(angMisAlig[1]);
305 deltaRot.RotateZ(angMisAlig[2]);
21dd83fc 306
4600314b 307 TGeoCombiTrans deltaTransf(deltaTrans,deltaRot);
308 TGeoHMatrix newTransfMat = transform * deltaTransf;
309
310 AliInfo(Form("Rotated Module by %f about Z axis.", angMisAlig[2]));
311
312 return TGeoCombiTrans(newTransfMat);
21dd83fc 313}
314
21dd83fc 315//______________________________________________________________________
316AliMUONGeometryTransformer *
317AliMUONGeometryMisAligner::MisAlign(const AliMUONGeometryTransformer *
4600314b 318 transformer, Bool_t verbose)
21dd83fc 319{
4600314b 320 /// Takes the internal geometry module transformers, copies them to
321 /// new geometry module transformers.
322 /// Calculates module misalignment parameters and applies these
323 /// to the new module transformer.
324 /// Calculates the module misalignment delta transformation in the
325 /// Alice Alignment Framework newTransf = delta * oldTransf.
326 /// Add a module misalignment to the new geometry transformer.
327 /// Gets the Detection Elements from the module transformer.
a9aad96e 328 /// Calculates misalignment parameters and applies these
4600314b 329 /// to the local transformation of the Detection Element.
330 /// Obtains the new global transformation by multiplying the new
331 /// module transformer transformation with the new local transformation.
332 /// Applies the new global transform to a new detection element.
333 /// Adds the new detection element to a new module transformer.
334 /// Calculates the d.e. misalignment delta transformation in the
335 /// Alice Alignment Framework (newGlobalTransf = delta * oldGlobalTransf).
336 /// Add a d.e. misalignment to the new geometry transformer.
337 /// Adds the new module transformer to a new geometry transformer.
338 /// Returns the new geometry transformer.
21dd83fc 339
340
341 AliMUONGeometryTransformer *newGeometryTransformer =
ef4cb4f1 342 new AliMUONGeometryTransformer();
21dd83fc 343 for (Int_t iMt = 0; iMt < transformer->GetNofModuleTransformers(); iMt++)
344 { // module transformers
21dd83fc 345 const AliMUONGeometryModuleTransformer *kModuleTransformer =
346 transformer->GetModuleTransformer(iMt, true);
347
348 AliMUONGeometryModuleTransformer *newModuleTransformer =
349 new AliMUONGeometryModuleTransformer(iMt);
350 newGeometryTransformer->AddModuleTransformer(newModuleTransformer);
351
ef79ed3a 352 TGeoCombiTrans moduleTransform =
353 TGeoCombiTrans(*kModuleTransformer->GetTransformation());
4600314b 354 // New module transformation
355 TGeoCombiTrans newModuleTransform = MisAlignModule(moduleTransform);
356 newModuleTransformer->SetTransformation(newModuleTransform);
357
358 // Get delta transformation:
359 // Tdelta = Tnew * Told.inverse
360 TGeoHMatrix deltaModuleTransform =
361 AliMUONGeometryBuilder::Multiply(
362 newModuleTransform,
363 kModuleTransformer->GetTransformation()->Inverse());
364
365 // Create module mis alignment matrix
366 newGeometryTransformer
367 ->AddMisAlignModule(kModuleTransformer->GetModuleId(), deltaModuleTransform);
21dd83fc 368
8c95578a 369 AliMpExMap *detElements = kModuleTransformer->GetDetElementStore();
21dd83fc 370
371 if (verbose)
4600314b 372 AliInfo(Form("%i DEs in old GeometryStore %i",detElements->GetSize(), iMt));
21dd83fc 373
630711ed 374 TIter next(detElements->CreateIterator());
375 AliMUONGeometryDetElement *detElement;
376
377 while ( ( detElement = static_cast<AliMUONGeometryDetElement*>(next()) ) )
378 {
ef79ed3a 379 /// make a new detection element
21dd83fc 380 AliMUONGeometryDetElement *newDetElement =
381 new AliMUONGeometryDetElement(detElement->GetId(),
ef79ed3a 382 detElement->GetVolumePath());
21dd83fc 383
ef79ed3a 384 // local transformation of this detection element.
385 TGeoCombiTrans localTransform
386 = TGeoCombiTrans(*detElement->GetLocalTransformation());
4600314b 387 TGeoCombiTrans newLocalTransform = MisAlignDetElem(localTransform);
388 newDetElement->SetLocalTransformation(newLocalTransform);
389
21dd83fc 390
ef79ed3a 391 // global transformation
392 TGeoHMatrix newGlobalTransform =
4600314b 393 AliMUONGeometryBuilder::Multiply(newModuleTransform,
394 newLocalTransform);
21dd83fc 395 newDetElement->SetGlobalTransformation(newGlobalTransform);
ef79ed3a 396
397 // add this det element to module
398 newModuleTransformer->GetDetElementStore()->Add(newDetElement->GetId(),
21dd83fc 399 newDetElement);
4600314b 400
401 // In the Alice Alignment Framework misalignment objects store
402 // global delta transformation
403 // Get detection "intermediate" global transformation
404 TGeoHMatrix newOldGlobalTransform = newModuleTransform * localTransform;
405 // Get detection element global delta transformation:
ef79ed3a 406 // Tdelta = Tnew * Told.inverse
4600314b 407 TGeoHMatrix deltaGlobalTransform
ef79ed3a 408 = AliMUONGeometryBuilder::Multiply(
409 newGlobalTransform,
4600314b 410 newOldGlobalTransform.Inverse());
ef79ed3a 411
412 // Create mis alignment matrix
413 newGeometryTransformer
4600314b 414 ->AddMisAlignDetElement(detElement->GetId(), deltaGlobalTransform);
21dd83fc 415 }
4600314b 416
417
21dd83fc 418 if (verbose)
419 AliInfo(Form("Added module transformer %i to the transformer", iMt));
420 newGeometryTransformer->AddModuleTransformer(newModuleTransformer);
421 }
422 return newGeometryTransformer;
423}
424
425
4818a9b7 426void AliMUONGeometryMisAligner::SetAlignmentResolution(const TClonesArray* misAlignArray, Int_t rChId, Double_t rChResX, Double_t rChResY, Double_t rDeResX, Double_t rDeResY){
427
428 Int_t chIdMin = (rChId<0)? 0 : rChId;
429 Int_t chIdMax = (rChId<0)? 9 : rChId;
430 Double_t chResX = (rChResX<0)? fModuleMisAlig[0][1] : rChResX;
431 Double_t chResY = (rChResY<0)? fModuleMisAlig[1][1] : rChResY;
432 Double_t deResX = (rDeResX<0)? fDetElemMisAlig[0][1] : rDeResX;
433 Double_t deResY = (rDeResY<0)? fDetElemMisAlig[1][1] : rDeResY;
434
435 TMatrixDSym mChCorrMatrix(6);
436 mChCorrMatrix[0][0]=chResX*chResX;
437 mChCorrMatrix[1][1]=chResY*chResY;
438 // mChCorrMatrix.Print();
439
440 TMatrixDSym mDECorrMatrix(6);
441 mDECorrMatrix[0][0]=deResX*deResX;
442 mDECorrMatrix[1][1]=deResY*deResY;
443 // mDECorrMatrix.Print();
444
445 AliAlignObjMatrix *alignMat = 0x0;
446
447 for(Int_t chId=chIdMin; chId<=chIdMax; chId++) {
448 TString chName1;
449 TString chName2;
450 if (chId<4){
451 chName1 = Form("GM%d",chId);
452 chName2 = Form("GM%d",chId);
453 } else {
454 chName1 = Form("GM%d",4+(chId-4)*2);
455 chName2 = Form("GM%d",4+(chId-4)*2+1);
456 }
457
458 for (int i=0; i<misAlignArray->GetEntries(); i++) {
459 alignMat = (AliAlignObjMatrix*)misAlignArray->At(i);
460 TString volName(alignMat->GetSymName());
461 if((volName.Contains(chName1)&&
462 ((volName.Last('/')==volName.Index(chName1)+chName1.Length())||
463 (volName.Length()==volName.Index(chName1)+chName1.Length())))||
464 (volName.Contains(chName2)&&
465 ((volName.Last('/')==volName.Index(chName2)+chName2.Length())||
466 (volName.Length()==volName.Index(chName2)+chName2.Length())))){
467 volName.Remove(0,volName.Last('/')+1);
468 if (volName.Contains("GM")) {
469 // alignMat->Print("NULL");
470 alignMat->SetCorrMatrix(mChCorrMatrix);
471 } else if (volName.Contains("DE")) {
472 // alignMat->Print("NULL");
473 alignMat->SetCorrMatrix(mDECorrMatrix);
474 }
475 }
476 }
477 }
478}
479
21dd83fc 480
481