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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 /* $Id$ */
17
18 #include <Riostream.h>
19 #include <TMath.h>
20 #include "AliITSsegmentationSSD.h"
21
22 //////////////////////////////////////////////////////
23 // Segmentation class for                           //
24 // silicon strips                                   //
25 //                                                  //
26 //////////////////////////////////////////////////////
27 const Float_t AliITSsegmentationSSD::fgkDxDefault = 72960.;
28 const Float_t AliITSsegmentationSSD::fgkDzDefault = 40000.;
29 const Float_t AliITSsegmentationSSD::fgkDyDefault = 300.;
30 const Float_t AliITSsegmentationSSD::fgkPitchDefault = 95.;
31 const Int_t AliITSsegmentationSSD::fgkNstripsDefault = 768;
32
33 ClassImp(AliITSsegmentationSSD)
34 AliITSsegmentationSSD::AliITSsegmentationSSD(): AliITSsegmentation(),
35 fNstrips(0),
36 fStereoP(0),
37 fStereoN(0),
38 fPitch(0),
39 fStereoPl5(0),
40 fStereoNl5(0),
41 fStereoPl6(0),
42 fStereoNl6(0),
43 fLayer(0){
44     // default constructor
45 }
46 //----------------------------------------------------------------------
47 AliITSsegmentationSSD::AliITSsegmentationSSD(AliITSgeom *geom):
48 fNstrips(0),
49 fStereoP(0),
50 fStereoN(0),
51 fPitch(0),
52 fStereoPl5(0),
53 fStereoNl5(0),
54 fStereoPl6(0),
55 fStereoNl6(0),
56 fLayer(0){
57     // constuctor
58     fGeom = geom;
59     fCorr = 0;
60     SetDetSize(fgkDxDefault,fgkDzDefault,fgkDyDefault);
61     SetPadSize(fgkPitchDefault,0.);
62     SetNPads(fgkNstripsDefault,0);
63     SetAngles();
64     fLayer = 0;
65 }
66
67 //______________________________________________________________________
68 void AliITSsegmentationSSD::Copy(TObject &obj) const {
69   // protected method. copy this to obj
70   AliITSsegmentation::Copy(obj);
71   ((AliITSsegmentationSSD& ) obj).Clear();
72   ((AliITSsegmentationSSD& ) obj).fNstrips = fNstrips;
73   ((AliITSsegmentationSSD& ) obj).fStereoP = fStereoP;
74   ((AliITSsegmentationSSD& ) obj).fStereoN = fStereoN;
75   ((AliITSsegmentationSSD& ) obj).fStereoPl5 = fStereoPl5;
76   ((AliITSsegmentationSSD& ) obj).fStereoNl5 = fStereoNl5;
77   ((AliITSsegmentationSSD& ) obj).fStereoPl6 = fStereoPl6;
78   ((AliITSsegmentationSSD& ) obj).fStereoNl6 = fStereoNl6;
79   ((AliITSsegmentationSSD& ) obj).fLayer   = fLayer;
80   ((AliITSsegmentationSSD& ) obj).fPitch   = fPitch;
81   ((AliITSsegmentationSSD& ) obj).fLayer   = fLayer;
82  
83 }
84
85 //______________________________________________________________________
86 AliITSsegmentationSSD& AliITSsegmentationSSD::operator=(
87                         const AliITSsegmentationSSD &source){
88 // Operator =
89   if(this != &source){
90     source.Copy(*this);
91   }
92   return *this;
93 }
94 //______________________________________________________________________
95 AliITSsegmentationSSD::AliITSsegmentationSSD(const AliITSsegmentationSSD &source):
96     AliITSsegmentation(source),
97 fNstrips(0),
98 fStereoP(0),
99 fStereoN(0),
100 fPitch(0),
101 fStereoPl5(0),
102 fStereoNl5(0),
103 fStereoPl6(0),
104 fStereoNl6(0),
105 fLayer(0){
106     // copy constructor
107   source.Copy(*this);
108 }
109 //----------------------------------------------------------------------
110 void AliITSsegmentationSSD::Init(){
111     // standard initalizer
112
113     SetPadSize(fgkPitchDefault,0.);
114     SetNPads(fgkNstripsDefault,0);
115     SetAngles();
116 }
117 //----------------------------------------------------------------------
118 void AliITSsegmentationSSD::Angles(Float_t &aP,Float_t &aN) const{
119   // P and N side stereo angles
120     if (fLayer == 5){
121         aP = fStereoPl5;
122         aN = fStereoNl5;
123     } // end if
124     if (fLayer == 6){
125         aP = fStereoPl6;
126         aN = fStereoNl6;
127     } // end if
128 }
129 //----------------------------------------------------------------------
130 void AliITSsegmentationSSD::SetLayer(Int_t l){
131   //set fLayer data member (only 5 or 6 are allowed)
132     if (l==5) fLayer =5;
133     if (l==6) fLayer =6;
134     if((l!=5) && (l!=6))Error("SetLayer","Layer can be 5 or 6, not %d",l);
135 }
136 //----------------------------------------------------------------------
137 void AliITSsegmentationSSD::GetPadTxz(Float_t &x,Float_t &z) const{
138     // returns P and N sided strip numbers for a given location.
139     // Transformation from microns detector center local coordinates
140     // to detector P and N side strip numbers..
141     /*                       _-  Z
142                     + angle /    ^
143         fNstrips           v     |   N-Side        ...0
144             \-------/------------|-----------\--------\
145             |\\\\\\/////////////.|\\\\\\\\\\\\\\\\\\\\|
146             |0\\\\/////////////..|.\\\\\\\\\\\\\\\\\\\|
147             |00\\/////////////...|..\\\\\\\\\\\\\\\\\\|
148        X <--|000/////////////... |...\\\\\\\\\\\\\\\\\|
149             |00/////////////...  | ...\\\\\\\\\\\\\\\\|
150             |0/////////////...   |  ...\\\\\\\\\\\\\\\|
151             |//////////////...   |  ...\\\\\\\\\\\\\\\|
152             /-----\--------------|--------------------/
153         fNstrips-1             P-Side              ...0
154                      |0\
155                      |00\
156         Dead region: |000/
157                      |00/
158                      |0/
159     // expects x, z in microns
160     */
161     Float_t stereoP, stereoN;
162     Angles(stereoP,stereoN);
163     Float_t tanP = TMath::Tan(stereoP);
164     Float_t tanN = TMath::Tan(-stereoN);
165     Float_t x1 = x;
166     Float_t z1 = z;
167     x1 += fDx/2;
168     z1 += fDz/2;
169     x   = (x1 - z1*tanP)/fPitch;
170     z   = (x1 - tanN*(z1 - fDz))/fPitch;
171 }
172 //----------------------------------------------------------------------
173 void AliITSsegmentationSSD::GetPadIxz(Float_t x,Float_t z,Int_t &iP,Int_t &iN) const {
174   // returns P and N sided strip numbers for a given location.
175     /*                       _-  Z
176                     + angle /    ^
177         fNstrips           v     |   N-Side        ...0
178             \-------/------------|-----------\--------\
179             |\\\\\\/////////////.|\\\\\\\\\\\\\\\\\\\\|
180             |0\\\\/////////////..|.\\\\\\\\\\\\\\\\\\\|
181             |00\\/////////////...|..\\\\\\\\\\\\\\\\\\|
182        X <--|000/////////////... |...\\\\\\\\\\\\\\\\\|
183             |00/////////////...  | ...\\\\\\\\\\\\\\\\|
184             |0/////////////...   |  ...\\\\\\\\\\\\\\\|
185             |//////////////...   |  ...\\\\\\\\\\\\\\\|
186             /-----\--------------|--------------------/
187         fNstrips-1             P-Side              ...0
188                      |0\
189                      |00\
190         Dead region: |000/
191                      |00/
192                      |0/
193
194     // expects x, z in microns
195   */ 
196
197     Float_t stereoP, stereoN;
198     Angles(stereoP,stereoN);
199     Float_t tanP=TMath::Tan(stereoP);
200     Float_t tanN=TMath::Tan(stereoN);
201     Float_t x1=x,z1=z;
202     x1 += fDx/2;
203     z1 += fDz/2;
204     Float_t  ldX = x1 - z1*tanP;          // distance from left-down edge 
205     iP = (Int_t)(ldX/fPitch);
206     iP = (iP<0)? -1: iP;      
207     iP = (iP>fNstrips)? -1: iP;
208
209     ldX = x1 - tanN*(fDz - z1);
210     iN = (Int_t)(ldX/fPitch);
211     iN = (iN<0)? -1: iN;
212     iN = (iN>fNstrips)? -1: iN;
213
214 }
215 //-------------------------------------------------------
216 void AliITSsegmentationSSD::GetPadCxz(Int_t iP,Int_t iN,Float_t &x,Float_t &z) const {
217     // actually this is the GetCrossing(Float_t &,Float_t &)
218     // returns local x, z  in microns !
219
220     Float_t lDx = fDx; // detector size in x direction, microns
221     Float_t lDz = fDz; // detector size in z direction, microns
222     Float_t xP; // x coordinate in the P side from the first P strip
223     Float_t xN; // x coordinate in the N side from the first N strip
224     Float_t stereoP, stereoN;
225     Angles(stereoP,stereoN);
226     Float_t kP=TMath::Tan(stereoP);
227     Float_t kN=TMath::Tan(stereoN);
228
229     xP=iP*fPitch;
230     xN=iN*fPitch; 
231     x = xP + kP*(lDz*kN-xP+xN)/(kP+kN);
232     z = (lDz*kN-xP+xN)/(kP+kN); 
233     x -= lDx/2;
234     z -= lDz/2;
235     //if(TMath::Abs(z) > Dz/2) cout<<"Warning, wrong z local ="<<z<<endl; 
236     // Check that zL is inside the detector for the 
237     // correspondent xP and xN coordinates
238
239     return;   
240 }
241 //______________________________________________________________________
242 Bool_t AliITSsegmentationSSD::LocalToDet(Float_t x,Float_t z,
243                                        Int_t &iP,Int_t &iN) const {
244     // Transformation from Geant cm detector center local coordinates
245     // to detector P and N side strip numbers..
246     /*                       _-  Z
247                     + angle /    ^
248         fNstrips           v     |   N-Side        ...0
249             \-------/------------|-----------\--------\
250             |\\\\\\/////////////.|\\\\\\\\\\\\\\\\\\\\|
251             |0\\\\/////////////..|.\\\\\\\\\\\\\\\\\\\|
252             |00\\/////////////...|..\\\\\\\\\\\\\\\\\\|
253        X <--|000/////////////... |...\\\\\\\\\\\\\\\\\|
254             |00/////////////...  | ...\\\\\\\\\\\\\\\\|
255             |0/////////////...   |  ...\\\\\\\\\\\\\\\|
256             |//////////////...   |  ...\\\\\\\\\\\\\\\|
257             /-----\--------------|--------------------/
258         fNstrips-1             P-Side              ...0
259                      |0\
260                      |00\
261         Dead region: |000/
262                      |00/
263                      |0/
264     */
265     const Double_t kconst = 1.0E-04; // convert microns to cm.
266
267     x /= kconst;  // convert to microns
268     z /= kconst;  // convert to microns
269     this->GetPadTxz(x,z);
270
271     // first for P side
272     iP = (Int_t) x;
273     if(iP<0 || iP>=fNstrips) iP=-1; // strip number must be in range.
274     // Now for N side)
275     iN = (Int_t) z;
276     if(iN<0 || iN>=fNstrips) iN=-1; // strip number must be in range.
277     return kTRUE;
278 }
279 //----------------------------------------------------------------------
280 void AliITSsegmentationSSD::DetToLocal(Int_t ix,Int_t iPN,
281                                        Float_t &x,Float_t &z) const{
282     // Transformation from detector segmentation/cell coordiantes starting
283     // from 0. iPN=0 for P side and 1 for N side strip. Returned is z=0.0
284     // and the corresponding x value..
285     /*                       _-  Z
286                     + angle /    ^
287         fNstrips           v     |   N-Side        ...0
288             \-------/------------|-----------\--------\
289             |\\\\\\/////////////.|\\\\\\\\\\\\\\\\\\\\|
290             |0\\\\/////////////..|.\\\\\\\\\\\\\\\\\\\|
291             |00\\/////////////...|..\\\\\\\\\\\\\\\\\\|
292        X <--|000/////////////... |...\\\\\\\\\\\\\\\\\|
293             |00/////////////...  | ...\\\\\\\\\\\\\\\\|
294             |0/////////////...   |  ...\\\\\\\\\\\\\\\|
295             |//////////////...   |  ...\\\\\\\\\\\\\\\|
296             /-----\--------------|--------------------/
297         fNstrips-1             P-Side              ...0
298                      |0\
299                      |00\
300         Dead region: |000/
301                      |00/
302                      |0/
303     */
304     // for strips p-side
305     // x = a + b + z*tan(fStereoP); a = Dpx(iP)*(iP+0.5)-dx; b = dz*th;
306     // for strips n-side
307     // x = a + b + z*tan(fStereoP); a = Dpx(iN)*(iN+0.5)-dx; b = -dz*th;
308     const Double_t kconst = 1.0E-04; // convert microns to cm.
309     Float_t flag=kconst*Dx(); // error value
310     Double_t th=0.0,dx,dz,i,a,b=0.0,xb[4],zb[4];
311     Float_t stereoP, stereoN;
312     Angles(stereoP,stereoN);
313
314     z = 0.0;  // Strip center in z.
315     if(iPN<0 || iPN>1){// if error return full detector size in x.
316         x = z = flag; 
317         return;
318     } // end if
319     if(ix<0 || ix>=fNstrips) { // if error return full detector size in x.
320         x = z = flag;
321         return;
322     } // end if
323     i  = (Double_t) ix;      // convert to double
324     dx = 0.5*kconst*Dx();    // half distance in x in cm
325     dz = 0.5*kconst*Dz();    // half distance in z in cm
326     a  = kconst*Dpx(ix)*(i+0.5)-dx; // Min x value.
327     if(iPN==0){ //P-side angle defined backwards.
328         th = TMath::Tan(stereoP); 
329         b  = dz*th;
330     }else if(iPN==1){ // N-side
331          th = TMath::Tan(-stereoN);
332          b  = -dz*th;
333     } // end if
334     // compute average/center position of the strip.
335     xb[0] = +dx; if(th!=0.0) zb[0] = (+dx-a-b)/th; else zb[0] = 0.0;
336     xb[1] = -dx; if(th!=0.0) zb[1] = (-dx-a-b)/th; else zb[1] = 0.0;
337     xb[2] = a+b+dz*th; zb[2] = +dz;
338     xb[3] = a+b-dz*th; zb[3] = -dz;
339     x = 0.0; z = 0.0;
340     for(Int_t j=0;j<4;j++){
341         if(xb[j]>=-dx && xb[j]<=dx && zb[j]>=-dz && zb[j]<=dz){
342             x += xb[j];
343             z += zb[j];
344         } // end if
345     } // end for
346     x *= 0.5;
347     z *= 0.5;
348     return;
349 }
350 //----------------------------------------------------------------------
351 Bool_t AliITSsegmentationSSD::GetCrossing(Int_t iP,Int_t iN,
352                                           Float_t &x,Float_t &z,
353                                           Float_t c[2][2]){
354     // Given one P side strip and one N side strip, Returns kTRUE if they
355     // cross each other and the location of the two crossing strips and
356     // their correxlation matrix c[2][2].
357     /*                       _-  Z
358                     + angle /    ^
359         fNstrips           v     |   N-Side        ...0
360             \-------/------------|-----------\--------\
361             |\\\\\\/////////////.|\\\\\\\\\\\\\\\\\\\\|
362             |0\\\\/////////////..|.\\\\\\\\\\\\\\\\\\\|
363             |00\\/////////////...|..\\\\\\\\\\\\\\\\\\|
364        X <--|000/////////////... |...\\\\\\\\\\\\\\\\\|
365             |00/////////////...  | ...\\\\\\\\\\\\\\\\|
366             |0/////////////...   |  ...\\\\\\\\\\\\\\\|
367             |//////////////...   |  ...\\\\\\\\\\\\\\\|
368             /-----\--------------|--------------------/
369         fNstrips-1             P-Side              ...0
370                      |0\
371                      |00\
372         Dead region: |000/
373                      |00/
374                      |0/
375        c[2][2] is defined as follows
376        /c[0][0]  c[0][1]\ /delta iP\ = /delta x\
377        \c[1][0]  c[1][1]/ \delta iN/ = \delta z/
378     */
379     const Double_t kconst = 1.0E-04; // convert microns to cm.
380     Double_t thp,thn,th,dx,dz,p,ip,in;
381     Float_t stereoP, stereoN;
382     Angles(stereoP,stereoN);
383     
384     thp = TMath::Tan(stereoP);
385     thn = TMath::Tan(-stereoN);
386     th  = thp-thn;
387     if(th==0.0) { // parall strips then never cross.
388         x = 0.0;
389         z = 0.0;
390         c[0][0] = c[1][0] = c[0][1] = c[1][1] = 0.0;
391         return kFALSE;
392     } // end if
393     // The strips must cross some place in space.
394     ip = (Double_t) iP;       // convert to double now for speed
395     in = (Double_t) iN;       // convert to double now for speed
396     dx = 0.5*kconst*Dx();     // half distance in x in cm
397     dz = 0.5*kconst*Dz();     // half distance in z in cm
398     p  = kconst*Dpx(iP);      // Get strip spacing/pitch now
399     x  = 0.5*p+dx + (p*(in*thp-ip*thn)-2.0*dz*thp*thn)/th;
400     z  =(p*(in-ip)-dz*(thp+thn))/th;
401     // compute correlations.
402     c[0][0] = -thn*p/th; // dx/diP
403     c[1][1] = p/th;      // dz/diN
404     c[0][1] = p*thp/th;  // dx/diN
405     c[1][0] = -p/th;     // dz/diP
406     if(x<-dx || x>dx || z<-dz || z>dz) return kFALSE; // crossing is outside
407                                                       // of the detector so
408                                                       // these strips don't
409                                                       // cross.
410     return kTRUE;
411 }
412
413 //----------------------------------------------------------------------
414 void AliITSsegmentationSSD::PrintDefaultParameters() const {
415 // Print default values for parameters. 
416 // Values specified as static const data members are shown
417
418   cout<<"fgkDxDefault = "<<fgkDxDefault<<endl;
419   cout<<"fgkDzDefault = "<<fgkDzDefault<<endl;
420   cout<<"fgkDyDefault = "<<fgkDyDefault<<endl;
421   cout<<"fgkPitchDefault = "<<fgkPitchDefault<<endl;
422   cout<<"fgkNstripsDefault = "<<fgkNstripsDefault<<endl;
423 }