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b7943f00 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//*************************************************************************
18// Class for flat cables
19//
20// Ludovic Gaudichet gaudichet@to.infn.it
21//*************************************************************************
22
23
24
25// General Root includes
26//#include <Riostream.h>
27#include <TMath.h>
28#include <TVectorD.h>
29
30// Root Geometry includes
31#include <TGeoManager.h>
32#include <TGeoVolume.h>
33#include <TGeoArb8.h>
34#include <TGeoMatrix.h>
35#include <TGeoNode.h>
36
37#include "AliITSv11GeomCableFlat.h"
38
39
40ClassImp(AliITSv11GeomCableFlat)
41
42//________________________________________________________________________
43AliITSv11GeomCableFlat::AliITSv11GeomCableFlat() : AliITSv11GeomCable()
44{
45 // constructor
46 fWidth = 0;
47 fThick = 0;
48 fNlayer = 0;
49 for (Int_t i=0; i<fgkCableMaxLayer ; i++) {
50 fLayThickness[i] = 0;
51 fTranslation[i] = 0;
52 fLayColor[i] = 0;
53 fLayMedia[i] = 0;
54 };
5d7a6c6d 55}
b7943f00 56
57//________________________________________________________________________
58AliITSv11GeomCableFlat::
59AliITSv11GeomCableFlat(const char* name, Double_t width, Double_t thick) :
60AliITSv11GeomCable(name) {
61 // standard constructor
62 fWidth = width;
63 fThick = thick;
64 fNlayer = 0;
65 for (Int_t i=0; i<fgkCableMaxLayer ; i++) {
66 fLayThickness[i] = 0;
67 fTranslation[i] = 0;
68 fLayColor[i] = 0;
69 fLayMedia[i] = 0;
70 };
5d7a6c6d 71}
b7943f00 72
73//________________________________________________________________________
74AliITSv11GeomCableFlat::AliITSv11GeomCableFlat(const AliITSv11GeomCableFlat &s) :
75 AliITSv11GeomCable(s),fWidth(s.fWidth),fThick(s.fThick),fNlayer(s.fNlayer)
76{
77 // Copy Constructor
78 for (Int_t i=0; i<s.fNlayer; i++) {
79 fLayThickness[i] = s.fLayThickness[i];
80 fTranslation[i] = s.fTranslation[i];
81 fLayMedia[i] = s.fLayMedia[i];
82 fLayColor[i] = s.fLayColor[i];
83 }
84}
85
86//________________________________________________________________________
87AliITSv11GeomCableFlat& AliITSv11GeomCableFlat::
88operator=(const AliITSv11GeomCableFlat &s) {
89 // Assignment operator
90 // Not fully inplemented yet !!!
91
92 if(&s == this) return *this;
93 *this = s;
94 fWidth = s.fWidth;
95 fThick = s.fThick;
96 fNlayer = s.fNlayer;
97 for (Int_t i=0; i<s.fNlayer; i++) {
98 fLayThickness[i] = s.fLayThickness[i];
99 fTranslation[i] = s.fTranslation[i];
100 fLayMedia[i] = s.fLayMedia[i];
101 fLayColor[i] = s.fLayColor[i];
102 };
103 return *this;
104}
105
106//________________________________________________________________________
107Int_t AliITSv11GeomCableFlat::GetPoint( Int_t iCheckPt, Double_t *coord)
108 const {
109 // Get the correct point #iCheckPt
110 TVectorD *coordVector =(TVectorD *)fPointArray.At(2*iCheckPt);
111 if (coordVector) {
5d7a6c6d 112#if ROOT_VERSION_CODE < ROOT_VERSION(4,0,0)
113 CopyFrom(coord, coordVector->GetElements());
114#else
b7943f00 115 CopyFrom(coord, coordVector->GetMatrixArray());
5d7a6c6d 116#endif
b7943f00 117 return kTRUE;
118 } else {
119 return kFALSE;
120 };
5d7a6c6d 121}
b7943f00 122
123
124//________________________________________________________________________
125Int_t AliITSv11GeomCableFlat::GetVect( Int_t iCheckPt, Double_t *coord)
126 const {
127 // Get the correct vect corresponding to point #iCheckPt
128
129 TVectorD *coordVector =(TVectorD *)fPointArray.At(2*iCheckPt+1);
130 if (coordVector) {
5d7a6c6d 131#if ROOT_VERSION_CODE < ROOT_VERSION(4,0,0)
132 CopyFrom(coord, coordVector->GetElements());
133#else
b7943f00 134 CopyFrom(coord, coordVector->GetMatrixArray());
5d7a6c6d 135#endif
b7943f00 136 return kTRUE;
137 } else {
138 return kFALSE;
139 };
5d7a6c6d 140}
b7943f00 141
142
143//________________________________________________________________________
144void AliITSv11GeomCableFlat::AddCheckPoint( TGeoVolume *vol, Int_t iCheckPt,
145 Double_t *coord, Double_t *orthVect)
146{
147 //
148 // Add a check point. In the fPointArray, the point is at i and its vector
149 // is at i+1.
150 //
151
152// if (iCheckPt>=fVolumeArray.GetEntriesFast()) {
153// fVolumeArray.AddLast(vol);
154// TVectorD *point = new TVectorD(3,coord);
155// TVectorD *vect = new TVectorD(3,orthVect);
156// fPointArray.AddLast(point);
157// fPointArray.AddLast(vect);
158
159// } else if ((iCheckPt >= 0)&&(iCheckPt < fVolumeArray.GetEntriesFast())) {
160// fVolumeArray.AddAt(vol, iCheckPt);
161// TVectorD *point = new TVectorD(3,coord);
162// TVectorD *vect = new TVectorD(3,orthVect);
163// fPointArray.AddAt(point, iCheckPt*2 );
164// fPointArray.AddAt(vect, iCheckPt*2+1);
165// };
166 fVolumeArray.AddAtAndExpand(vol, iCheckPt);
167 TVectorD *point = new TVectorD(3,coord);
168 TVectorD *vect = new TVectorD(3,orthVect);
169 fPointArray.AddAtAndExpand(point, iCheckPt*2 );
170 fPointArray.AddAtAndExpand(vect, iCheckPt*2+1);
5d7a6c6d 171}
b7943f00 172
173//________________________________________________________________________
174void AliITSv11GeomCableFlat::PrintCheckPoints() const {
175 // print all check points of the cable
176 printf(" ---\n Printing all check points of the flat cable\n");
177 for (Int_t i = 0; i<fVolumeArray.GetEntriesFast(); i++) {
178 Double_t coord[3];
179 if (GetPoint( i, coord))
180 printf(" ( %.2f, %.2f, %.2f )\n", coord[0], coord[1], coord[2]);
181 };
5d7a6c6d 182}
b7943f00 183
184//________________________________________________________________________
185Int_t AliITSv11GeomCableFlat::CreateAndInsertCableSegment(Int_t p2,
186 Double_t rotation)
187{
188// Creates a cable segment between points p1 and p2.
189// Rotation is the eventual rotation of the flat cable
190// along its length axis
191//
192// The segment volume is created inside the volume containing point2
193// Therefore this segment should be defined in this volume only.
194// I mean here that, if the previous point is in another volume,
195// it should be just at the border between the 2 volumes. Also the
196// orientation vector of the previous point should be orthogonal to
197// the surface between the 2 volumes.
198
199 TGeoNode *mainNode;
200 if (fInitialNode==0) {
201 TObjArray *nodes = gGeoManager->GetListOfNodes();
202 if (nodes->GetEntriesFast()==0) return kFALSE;
203 mainNode = (TGeoNode *) nodes->UncheckedAt(0);
204 } else {
205 mainNode = fInitialNode;
206 };
207
208 Int_t p1 = p2 - 1;
209 TGeoVolume *p2Vol = GetVolume(p2);
210 TGeoVolume *p1Vol = GetVolume(p1);
211
212 ResetCheckDaughter();
213 fCurrentVol = p1Vol;
214 if (! CheckDaughter(mainNode)) {
215 printf("Error::volume containing point is not visible in node tree!\n");
216 return kFALSE;
217 };
218
219 Double_t coord1[3], coord2[3], vect1[3], vect2[3];
220 //=================================================
221 // Get p1 position in the systeme of p2
222 if (p1Vol!=p2Vol) {
223
224 Int_t p1nodeInd[fgkCableMaxNodeLevel];
225 for (Int_t i=0; i<fgkCableMaxNodeLevel; i++) p1nodeInd[i]=fNodeInd[i];
226 Int_t p1volLevel = 0;
227 while (p1nodeInd[p1volLevel]!=-1) p1volLevel++;
228 p1volLevel--;
229
230 ResetCheckDaughter();
231 fCurrentVol = p2Vol;
232 if (! CheckDaughter(mainNode)) {
233 printf("Error::volume containing point is not visible in node tree!\n");
234 return kFALSE;
235 };
236 Int_t p2nodeInd[fgkCableMaxNodeLevel];
237 for (Int_t i=0; i<fgkCableMaxNodeLevel; i++) p2nodeInd[i]=fNodeInd[i];
238 Int_t commonMotherLevel = 0;
239 while (p1nodeInd[commonMotherLevel]==fNodeInd[commonMotherLevel])
240 commonMotherLevel++;
241 commonMotherLevel--;
242 Int_t p2volLevel = 0;
243 while (fNodeInd[p2volLevel]!=-1) p2volLevel++;
244 p2volLevel--;
245
246 // Get coord and vect of p1 in the common mother reference system
247 if (! GetCheckPoint(p1, 0, p1volLevel-commonMotherLevel, coord1) )
248 return kFALSE;
249 if (! GetCheckVect( p1, 0, p1volLevel-commonMotherLevel, vect1) )
250 return kFALSE;
251
252 // Translate them in the reference system of the volume containing p2
253 TGeoNode *pathNode[fgkCableMaxNodeLevel];
254 pathNode[0] = mainNode;
255 for (Int_t i=0; i<=p2volLevel; i++) {
256 pathNode[i+1] = pathNode[i]->GetDaughter(p2nodeInd[i]);
257 };
258 Double_t globalCoord1[3] = {coord1[0], coord1[1], coord1[2]};
259 Double_t globalVect1[3] = {vect1[0], vect1[1], vect1[2]};
260
261 for (Int_t i = commonMotherLevel+1; i <= p2volLevel; i++) {
262 pathNode[i+1]->GetMatrix()->MasterToLocal(globalCoord1, coord1);
263 pathNode[i+1]->GetMatrix()->MasterToLocalVect(globalVect1, vect1);
264 CopyFrom(globalCoord1, coord1);
265 CopyFrom(globalVect1, vect1);
266 };
267 } else {
268 if (! GetCheckPoint(p1, 0, 0, coord1) ) return kFALSE;
269 if (! GetCheckVect(p1, 0, 0, vect1) ) return kFALSE;
270 };
271
272 //=================================================
273 // Get p2 position in the systeme of p2
274 if (! GetCheckPoint(p2, 0, 0, coord2) ) return kFALSE;
275 if (! GetCheckVect(p2, 0, 0, vect2) ) return kFALSE;
276
277 Double_t cx = (coord1[0]+coord2[0])/2;
278 Double_t cy = (coord1[1]+coord2[1])/2;
279 Double_t cz = (coord1[2]+coord2[2])/2;
280 Double_t dx = coord2[0]-coord1[0];
281 Double_t dy = coord2[1]-coord1[1];
282 Double_t dz = coord2[2]-coord1[2];
283
284 //=================================================
285 // Positionning of the segment between the 2 points
286 if (TMath::Abs(dy)<1e-231) dy = 1e-231;
287 if (TMath::Abs(dz)<1e-231) dz = 1e-231;
288 //Double_t angleRot1 = -TMath::ATan(dx/dy);
289 //Double_t planDiagL = -TMath::Sqrt(dy*dy+dx*dx);
290 //if (dy<0) planDiagL = -planDiagL;
291 //Double_t angleRotDiag = TMath::ATan(planDiagL/dz);
292
293 Double_t angleRot1 = -TMath::ATan2(dx,dy);
294 Double_t planDiagL = TMath::Sqrt(dy*dy+dx*dx);
295 Double_t angleRotDiag = -TMath::ATan2(planDiagL,dz);
296 //--- (Calculate rotation of segment on the Z axis)
297 //-- Here I'm trying to calculate the rotation to be applied in
298 //-- order to match as closer as possible this segment and the
299 //-- previous one.
300 //-- It seems that some times it doesn't work ...
301 Double_t angleRotZ = 0;
302 TGeoRotation rotTemp("",angleRot1*TMath::RadToDeg(),
303 angleRotDiag*TMath::RadToDeg(), rotation);
304 Double_t localX[3] = {0,1,0};
305 Double_t globalX[3];
306 rotTemp.LocalToMasterVect(localX, globalX);
307 CopyFrom(localX, globalX);
308 GetCheckVect(localX, p2Vol, 0, fgkCableMaxNodeLevel+1, globalX);
309 Double_t orthVect[3];
310 GetCheckVect(vect1, p2Vol, 0, fgkCableMaxNodeLevel+1, orthVect);
311 if (p2>1) {
312 Double_t orthVectNorm2 = ScalProd(orthVect,orthVect);
313 Double_t alpha1 = ScalProd(fPreviousX,orthVect)/orthVectNorm2;
314 Double_t alpha2 = ScalProd(globalX,orthVect)/orthVectNorm2;
315 Double_t globalX1p[3], globalX2p[3];
316 globalX1p[0] = fPreviousX[0] - alpha1*orthVect[0];
317 globalX1p[1] = fPreviousX[1] - alpha1*orthVect[1];
318 globalX1p[2] = fPreviousX[2] - alpha1*orthVect[2];
319 globalX2p[0] = globalX[0] - alpha2*orthVect[0];
320 globalX2p[1] = globalX[1] - alpha2*orthVect[1];
321 globalX2p[2] = globalX[2] - alpha2*orthVect[2];
322 //-- now I'm searching the 3th vect which makes an orthogonal base
323 //-- with orthVect and globalX1p ...
324 Double_t nulVect[3] = {0,0,0};
325 Double_t axis3[3];
326 TMath::Normal2Plane(nulVect, orthVect, globalX1p, axis3);
327 Double_t globalX1pNorm2 = ScalProd(globalX1p, globalX1p);
328 Double_t beta = ScalProd(globalX2p, globalX1p)/globalX1pNorm2;
329 Double_t gamma = ScalProd(globalX2p, axis3);
330 angleRotZ = (TMath::ATan2(1,0) - TMath::ATan2(beta, gamma))
331 *TMath::RadToDeg();
332 };
333 // cout << "!!!!!!!!!!!!!!!!!!! angle = " <<angleRotZ << endl;
334 CopyFrom(fPreviousX, globalX);
335 //---
336 Double_t localVect1[3], localVect2[3];
337 TGeoRotation rot("",angleRot1*TMath::RadToDeg(),
338 angleRotDiag*TMath::RadToDeg(),
339 rotation);
340// rotation-angleRotZ);
341// since angleRotZ doesn't always work, I won't use it ...
342
343 rot.MasterToLocalVect(vect1, localVect1);
344 rot.MasterToLocalVect(vect2, localVect2);
345
346 //=================================================
347 // Create the segment and add it to the mother volume
348 TGeoVolume *vCableSegB = CreateSegment(coord1, coord2,
349 localVect1, localVect2);
350
351 TGeoRotation rotArbSeg("", 0, 90, 0);
352 rotArbSeg.MultiplyBy(&rot, kFALSE);
353 TGeoTranslation trans("",cx, cy, cz);
354 TGeoCombiTrans *combiB = new TGeoCombiTrans(trans, rotArbSeg);
355 p2Vol->AddNode(vCableSegB, p2, combiB);
356 //=================================================;
357
358 if (fDebug) {
359 printf("---\n Cable segment points : ");
360 printf("%f, %f, %f\n",coord1[0], coord1[1], coord1[2]);
361 printf("%f, %f, %f\n",coord2[0], coord2[1], coord2[2]);
362 };
363
364// #include <TGeoSphere.h>
365// TGeoMedium *airSDD = gGeoManager->GetMedium("ITSsddAir");
366// TGeoSphere *sphere = new TGeoSphere(0, 0.05);
367// TGeoVolume *vSphere = new TGeoVolume("", sphere, airSDD);
368// TGeoTranslation *trC = new TGeoTranslation("", cx, cy, cz);
369// TGeoTranslation *tr1 = new TGeoTranslation("",coord1[0],
370// coord1[1],coord1[2]);
371// TGeoTranslation *tr2 = new TGeoTranslation("",coord2[0],
372// coord2[1],coord2[2]);
373// p2Vol->AddNode(vSphere, p2*3-2, trC);
374// p2Vol->AddNode(vSphere, p2*3-1, tr1);
375// p2Vol->AddNode(vSphere, p2*3 , tr2);
376
377 return kTRUE;
5d7a6c6d 378}
b7943f00 379
380//________________________________________________________________________
381TGeoVolume *AliITSv11GeomCableFlat::CreateSegment( Double_t *coord1,
382 Double_t *coord2,
383 Double_t *localVect1,
384 Double_t *localVect2 )
385{
386
387 //=================================================
388 // Calculate segment "deformation"
389 Double_t dx = coord2[0]-coord1[0];
390 Double_t dy = coord2[1]-coord1[1];
391 Double_t dz = coord2[2]-coord1[2];
392 Double_t length = TMath::Sqrt(dx*dx+dy*dy+dz*dz);
393
394 Double_t cosTheta1 = -1./TMath::Sqrt( 1 + localVect1[0]*localVect1[0]
395 /localVect1[2]/localVect1[2] );
396 Double_t cosTheta2 = 1./TMath::Sqrt( 1 + localVect2[0]*localVect2[0]
397 /localVect2[2]/localVect2[2] );
398 if (localVect1[2]<0) cosTheta1 = -cosTheta1;
399 if (localVect2[2]<0) cosTheta2 = -cosTheta2;
400
401 Double_t dL1 = 0.5*fWidth*TMath::Tan(TMath::ACos(cosTheta1));
402 Double_t dL2 = 0.5*fWidth*TMath::Tan(TMath::ACos(cosTheta2));
403 if (localVect1[0]<0) dL1 = - dL1;
404 if (localVect2[0]<0) dL2 = - dL2;
405 //---
406 Double_t cosPhi1 = -1./TMath::Sqrt( 1 + localVect1[1]*localVect1[1]
407 /localVect1[2]/localVect1[2] );
408 Double_t cosPhi2 = 1./TMath::Sqrt( 1 + localVect2[1]*localVect2[1]
409 /localVect2[2]/localVect2[2] );
410 if (localVect1[2]<0) cosPhi1 = -cosPhi1;
411 if (localVect2[2]<0) cosPhi2 = -cosPhi2;
412
413 Double_t tanACosCosPhi1 = TMath::Tan(TMath::ACos(cosPhi1));
414 Double_t tanACosCosPhi2 = TMath::Tan(TMath::ACos(cosPhi2));
415 if (localVect1[1]<0) tanACosCosPhi1 = -tanACosCosPhi1;
416 if (localVect2[1]<0) tanACosCosPhi2 = -tanACosCosPhi2;
417
418 Double_t dl1 = 0.5*fThick*tanACosCosPhi1;
419 Double_t dl2 = 0.5*fThick*tanACosCosPhi2;
420
421 //=================================================
422 // Create the segment
423 TGeoArb8 *cableSeg = new TGeoArb8(fThick/2);
424 cableSeg->SetVertex( 0, -fWidth/2, -length/2 - dL1 + dl1);
425 cableSeg->SetVertex( 1, fWidth/2, -length/2 + dL1 + dl1);
426 cableSeg->SetVertex( 2, fWidth/2, length/2 - dL2 - dl2);
427 cableSeg->SetVertex( 3, -fWidth/2, length/2 + dL2 - dl2);
428 cableSeg->SetVertex( 4, -fWidth/2, -length/2 - dL1 - dl1);
429 cableSeg->SetVertex( 5, fWidth/2, -length/2 + dL1 - dl1);
430 cableSeg->SetVertex( 6, fWidth/2, length/2 - dL2 + dl2);
431 cableSeg->SetVertex( 7, -fWidth/2, length/2 + dL2 + dl2);
432
433 TGeoMedium *airSDD = gGeoManager->GetMedium("ITSair");
434 TGeoVolume *vCableSeg = new TGeoVolume(GetName(), cableSeg, airSDD);
435
436 // add all cable layers
437 for (Int_t iLay=0; iLay<fNlayer; iLay++) {
438
439 Double_t dl1Lay = 0.5*fLayThickness[iLay]*tanACosCosPhi1;
440 Double_t dl2Lay = 0.5*fLayThickness[iLay]*tanACosCosPhi2;
441
442 Double_t ztr = -fThick/2;
443 for (Int_t i=0;i<iLay; i++) ztr+= fLayThickness[i];
444 ztr+= fLayThickness[iLay]/2;
445
446 Double_t dl1LayS = ztr*tanACosCosPhi1;
447 Double_t dl2LayS = ztr*tanACosCosPhi2;
448
449 TGeoArb8 *lay = new TGeoArb8(fLayThickness[iLay]/2);
450 lay->SetVertex( 0, -fWidth/2, -length/2 - dL1 + dl1Lay - dl1LayS);
451 lay->SetVertex( 1, fWidth/2, -length/2 + dL1 + dl1Lay - dl1LayS);
452 lay->SetVertex( 2, fWidth/2, length/2 - dL2 - dl2Lay + dl2LayS);
453 lay->SetVertex( 3, -fWidth/2, length/2 + dL2 - dl2Lay + dl2LayS);
454 lay->SetVertex( 4, -fWidth/2, -length/2 - dL1 - dl1Lay - dl1LayS);
455 lay->SetVertex( 5, fWidth/2, -length/2 + dL1 - dl1Lay - dl1LayS);
456 lay->SetVertex( 6, fWidth/2, length/2 - dL2 + dl2Lay + dl2LayS);
457 lay->SetVertex( 7, -fWidth/2, length/2 + dL2 + dl2Lay + dl2LayS);
458 TGeoVolume *vLay = new TGeoVolume("vCableSegLay", lay, fLayMedia[iLay]);
459 vLay->SetLineColor(fLayColor[iLay]);
460
461 if (fTranslation[iLay]==0)
462 fTranslation[iLay] = new TGeoTranslation(0, 0, ztr);
463 vCableSeg->AddNode(vLay, iLay+1, fTranslation[iLay]);
464 };
465
466 vCableSeg->SetVisibility(kFALSE);
467 return vCableSeg;
5d7a6c6d 468}
b7943f00 469
470
471//________________________________________________________________________
472void AliITSv11GeomCableFlat::SetNLayers(Int_t nLayers) {
473 // Set the number of layers
474 if((nLayers>0) &&(nLayers<=fgkCableMaxLayer)) {
475
476 fNlayer = nLayers;
477 for (Int_t i=0; i<fgkCableMaxLayer ; i++) {
478 fLayThickness[i] = 0;
479 fTranslation[i] = 0;
480 fLayColor[i] = 0;
481 fLayMedia[i] = 0;
482 };
483 };
5d7a6c6d 484}
b7943f00 485
486//________________________________________________________________________
487Int_t AliITSv11GeomCableFlat::SetLayer(Int_t nLayer, Double_t thick,
488 TGeoMedium *medium, Int_t color) {
489 // Set the layer number nLayer
490 if ((nLayer<0)||(nLayer>=fNlayer)) {
491 printf("Set wrong layer number of the cable\n");
492 return kFALSE;
493 };
494 if (nLayer>0)
495 if (fLayThickness[nLayer-1]<=0) {
496 printf("AliITSv11GeomCableFlat::SetLayer():"
497 " You must define cable layer %i first !",nLayer-1);
498 return kFALSE;
499 };
500
501 Double_t thickTot = 0;
502 for (Int_t i=0; i<nLayer; i++) thickTot += fLayThickness[i];
503 thickTot += thick;
504 if (thickTot-1e-10>fThick) {
505 printf("Can't add this layer, cable thickness would be higher than total\n");
506 return kFALSE;
507 };
508
509 fLayThickness[nLayer] = thick;
510 fLayMedia[nLayer] = medium;
511 fLayColor[nLayer] = color;
512 fTranslation[nLayer] = 0;
513 return kTRUE;
5d7a6c6d 514}