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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 $Log$
17 Revision 1.15  2001/05/16 14:57:16  alibrary
18 New files for folders and Stack
19
20 Revision 1.14  2001/05/14 06:21:49  barbera
21 Some unuseful printout commented
22
23 Revision 1.13  2001/05/14 05:44:11  barbera
24 Version 1.11 reput in place to avoid problem with reconstruction
25
26 Revision 1.11  2001/05/03 16:12:37  nilsen
27 Fixed up LocalToDet, DetToLocal, GetCrossing, GetPadTxz to work with different
28 angles in layer 5 and 6.
29
30 Revision 1.10  2001/05/01 22:42:22  nilsen
31 Update of SSD simulation and reconstruction code by Boris and Enrico.
32
33 Revision 1.9  2001/04/27 14:16:50  nilsen
34 Remove dead and/or unused code and printout lines. i.e. cleaned it up a bit.
35
36 */
37
38 #include <TMath.h>
39 #include <TF1.h>
40 #include <Riostream.h>
41 #include "AliITSsegmentationSSD.h"
42 #include "AliITSgeom.h"
43 #include "AliRun.h"
44 #include "AliModule.h"
45
46 ClassImp(AliITSsegmentationSSD)
47 AliITSsegmentationSSD::AliITSsegmentationSSD(){
48     // default constructor
49     fGeom  = 0;
50     fCorr  = 0;
51     fLayer = 0;
52 }
53 //----------------------------------------------------------------------
54 AliITSsegmentationSSD::AliITSsegmentationSSD(AliITSgeom *geom){
55     // constuctor
56     fGeom = geom;
57     fCorr = 0;
58     SetDetSize();
59     SetPadSize();
60     SetNPads();
61     SetAngles();
62     fLayer = 0;
63 }
64 //______________________________________________________________________
65 AliITSsegmentationSSD& AliITSsegmentationSSD::operator=(
66                                              AliITSsegmentationSSD &source){
67 // Operator =
68     if(this==&source) return *this;
69     this->fNstrips = source.fNstrips;
70     this->fStereoP = source.fStereoP;
71     this->fStereoN = source.fStereoN;
72     this->fStereoPl5 = source.fStereoPl5;
73     this->fStereoNl5 = source.fStereoNl5;
74     this->fStereoPl6 = source.fStereoPl6;
75     this->fStereoNl6 = source.fStereoNl6;
76     this->fLayer   = source.fLayer;
77     this->fPitch   = source.fPitch;
78     this->fDz      = source.fDz;
79     this->fDx      = source.fDx;
80     this->fDy      = source.fDy;
81     this->fLayer   = source.fLayer;
82     this->fGeom    = source.fGeom; // copy only the pointer
83     this->fCorr    = new TF1(*(source.fCorr)); // make a proper copy
84     return *this;     
85 }
86 //______________________________________________________________________
87 AliITSsegmentationSSD::AliITSsegmentationSSD(AliITSsegmentationSSD &source){
88     // copy constructor
89     *this = source;
90 }
91 //----------------------------------------------------------------------
92 void AliITSsegmentationSSD::Init(){
93     // standard initalizer
94
95     SetPadSize();
96     SetNPads();
97     SetAngles();
98 }
99 //----------------------------------------------------------------------
100 void AliITSsegmentationSSD::Angles(Float_t &aP,Float_t &aN){
101
102     if (fLayer == 5){
103         aP = fStereoPl5;
104         aN = fStereoNl5;
105     } // end if
106     if (fLayer == 6){
107         aP = fStereoPl6;
108         aN = fStereoNl6;
109     } // end if
110 }
111 //----------------------------------------------------------------------
112 void AliITSsegmentationSSD::SetLayer(Int_t l){
113
114     if (l==5) fLayer =5;
115     if (l==6) fLayer =6;
116 }
117 //----------------------------------------------------------------------
118 void AliITSsegmentationSSD::GetPadTxz(Float_t &x,Float_t &z){
119     // returns P and N sided strip numbers for a given location.
120     // Transformation from microns detector center local coordinates
121     // to detector P and N side strip numbers..
122     /*                       _-  Z
123                     + angle /    ^
124         fNstrips           v     |   N-Side        ...0
125             \-------/------------|-----------\--------\
126             |\\\\\\/////////////.|\\\\\\\\\\\\\\\\\\\\|
127             |0\\\\/////////////..|.\\\\\\\\\\\\\\\\\\\|
128             |00\\/////////////...|..\\\\\\\\\\\\\\\\\\|
129        X <--|000/////////////... |...\\\\\\\\\\\\\\\\\|
130             |00/////////////...  | ...\\\\\\\\\\\\\\\\|
131             |0/////////////...   |  ...\\\\\\\\\\\\\\\|
132             |//////////////...   |  ...\\\\\\\\\\\\\\\|
133             /-----\--------------|--------------------/
134         fNstrips-1             P-Side              ...0
135                      |0\
136                      |00\
137         Dead region: |000/
138                      |00/
139                      |0/
140     // expects x, z in microns
141     */
142     Float_t StereoP, StereoN;
143     Angles(StereoP,StereoN);
144     Float_t tanP = TMath::Tan(StereoP);
145     Float_t tanN = TMath::Tan(-StereoN);
146     Float_t x1 = x;
147     Float_t z1 = z;
148     x1 += fDx/2;
149     z1 += fDz/2;
150     x   = (x1 - z1*tanP)/fPitch;
151     z   = (x1 - tanN*(z1 - fDz))/fPitch;
152 }
153 //----------------------------------------------------------------------
154 void AliITSsegmentationSSD::GetPadIxz(Float_t x,Float_t z,Int_t &iP,Int_t &iN){
155   // returns P and N sided strip numbers for a given location.
156     /*                       _-  Z
157                     + angle /    ^
158         fNstrips           v     |   N-Side        ...0
159             \-------/------------|-----------\--------\
160             |\\\\\\/////////////.|\\\\\\\\\\\\\\\\\\\\|
161             |0\\\\/////////////..|.\\\\\\\\\\\\\\\\\\\|
162             |00\\/////////////...|..\\\\\\\\\\\\\\\\\\|
163        X <--|000/////////////... |...\\\\\\\\\\\\\\\\\|
164             |00/////////////...  | ...\\\\\\\\\\\\\\\\|
165             |0/////////////...   |  ...\\\\\\\\\\\\\\\|
166             |//////////////...   |  ...\\\\\\\\\\\\\\\|
167             /-----\--------------|--------------------/
168         fNstrips-1             P-Side              ...0
169                      |0\
170                      |00\
171         Dead region: |000/
172                      |00/
173                      |0/
174
175     // expects x, z in microns
176   */ 
177
178     Float_t StereoP, StereoN;
179     Angles(StereoP,StereoN);
180     Float_t tanP=TMath::Tan(StereoP);
181     Float_t tanN=TMath::Tan(StereoN);
182     Float_t x1=x,z1=z;
183     x1 += fDx/2;
184     z1 += fDz/2;
185     Float_t  ldX = x1 - z1*tanP;          // distance from left-down edge 
186     iP = (Int_t)(ldX/fPitch);
187     iP = (iP<0)? -1: iP;      
188     iP = (iP>fNstrips)? -1: iP;
189
190     ldX = x1 - tanN*(fDz - z1);
191     iN = (Int_t)(ldX/fPitch);
192     iN = (iN<0)? -1: iN;
193     iN = (iN>fNstrips)? -1: iN;
194
195 }
196 //-------------------------------------------------------
197 void AliITSsegmentationSSD::GetPadCxz(Int_t iP,Int_t iN,Float_t &x,Float_t &z){
198     // actually this is the GetCrossing(Float_t &,Float_t &)
199     // returns local x, z  in microns !
200
201     Float_t Dx = fDx; // detector size in x direction, microns
202     Float_t Dz = fDz; // detector size in z direction, microns
203     Float_t xP; // x coordinate in the P side from the first P strip
204     Float_t xN; // x coordinate in the N side from the first N strip
205     Float_t StereoP, StereoN;
206     Angles(StereoP,StereoN);
207     Float_t kP=TMath::Tan(StereoP);
208     Float_t kN=TMath::Tan(StereoN);
209
210     xP=iP*fPitch;
211     xN=iN*fPitch; 
212     x = xP + kP*(Dz*kN-xP+xN)/(kP+kN);
213     z = (Dz*kN-xP+xN)/(kP+kN); 
214     x -= Dx/2;
215     z -= Dz/2;
216     //if(TMath::Abs(z) > Dz/2) cout<<"Warning, wrong z local ="<<z<<endl; 
217     // Check that zL is inside the detector for the 
218     // correspondent xP and xN coordinates
219
220     return;   
221 }
222 //______________________________________________________________________
223 void AliITSsegmentationSSD::LocalToDet(Float_t x,Float_t z,
224                                        Int_t &iP,Int_t &iN){
225     // Transformation from Geant cm detector center local coordinates
226     // to detector P and N side strip numbers..
227     /*                       _-  Z
228                     + angle /    ^
229         fNstrips           v     |   N-Side        ...0
230             \-------/------------|-----------\--------\
231             |\\\\\\/////////////.|\\\\\\\\\\\\\\\\\\\\|
232             |0\\\\/////////////..|.\\\\\\\\\\\\\\\\\\\|
233             |00\\/////////////...|..\\\\\\\\\\\\\\\\\\|
234        X <--|000/////////////... |...\\\\\\\\\\\\\\\\\|
235             |00/////////////...  | ...\\\\\\\\\\\\\\\\|
236             |0/////////////...   |  ...\\\\\\\\\\\\\\\|
237             |//////////////...   |  ...\\\\\\\\\\\\\\\|
238             /-----\--------------|--------------------/
239         fNstrips-1             P-Side              ...0
240                      |0\
241                      |00\
242         Dead region: |000/
243                      |00/
244                      |0/
245     */
246     const Double_t kconst = 1.0E-04; // convert microns to cm.
247
248     x /= kconst;  // convert to microns
249     z /= kconst;  // convert to microns
250     this->GetPadTxz(x,z);
251
252     // first for P side
253     iP = (Int_t) x;
254     if(iP<0 || iP>=fNstrips) iP=-1; // strip number must be in range.
255     // Now for N side)
256     iN = (Int_t) z;
257     if(iN<0 || iN>=fNstrips) iN=-1; // strip number must be in range.
258     return;
259 }
260 //----------------------------------------------------------------------
261 void AliITSsegmentationSSD::DetToLocal(Int_t ix,Int_t iPN,
262                                        Float_t &x,Float_t &z){
263     // Transformation from detector segmentation/cell coordiantes starting
264     // from 0. iPN=0 for P side and 1 for N side strip. Returned is z=0.0
265     // and the corresponding x value..
266     /*                       _-  Z
267                     + angle /    ^
268         fNstrips           v     |   N-Side        ...0
269             \-------/------------|-----------\--------\
270             |\\\\\\/////////////.|\\\\\\\\\\\\\\\\\\\\|
271             |0\\\\/////////////..|.\\\\\\\\\\\\\\\\\\\|
272             |00\\/////////////...|..\\\\\\\\\\\\\\\\\\|
273        X <--|000/////////////... |...\\\\\\\\\\\\\\\\\|
274             |00/////////////...  | ...\\\\\\\\\\\\\\\\|
275             |0/////////////...   |  ...\\\\\\\\\\\\\\\|
276             |//////////////...   |  ...\\\\\\\\\\\\\\\|
277             /-----\--------------|--------------------/
278         fNstrips-1             P-Side              ...0
279                      |0\
280                      |00\
281         Dead region: |000/
282                      |00/
283                      |0/
284     */
285     // for strips p-side
286     // x = a + b + z*tan(fStereoP); a = Dpx(iP)*(iP+0.5)-dx; b = dz*th;
287     // for strips n-side
288     // x = a + b + z*tan(fStereoP); a = Dpx(iN)*(iN+0.5)-dx; b = -dz*th;
289     const Double_t kconst = 1.0E-04; // convert microns to cm.
290     Float_t flag=kconst*Dx(); // error value
291     Double_t th=0.0,dx,dz,i,a,b=0.0,xb[4],zb[4];
292     Float_t StereoP, StereoN;
293     Angles(StereoP,StereoN);
294
295     z = 0.0;  // Strip center in z.
296     if(iPN<0 || iPN>1){// if error return full detector size in x.
297         x = z = flag; 
298         return;
299     } // end if
300     if(ix<0 || ix>=fNstrips) { // if error return full detector size in x.
301         x = z = flag;
302         return;
303     } // end if
304     i  = (Double_t) ix;      // convert to double
305     dx = 0.5*kconst*Dx();    // half distance in x in cm
306     dz = 0.5*kconst*Dz();    // half distance in z in cm
307     a  = kconst*Dpx(ix)*(i+0.5)-dx; // Min x value.
308     if(iPN==0){ //P-side angle defined backwards.
309         th = TMath::Tan(StereoP); 
310         b  = dz*th;
311     }else if(iPN==1){ // N-side
312          th = TMath::Tan(-StereoN);
313          b  = -dz*th;
314     } // end if
315     // compute average/center position of the strip.
316     xb[0] = +dx; if(th!=0.0) zb[0] = (+dx-a-b)/th; else zb[0] = 0.0;
317     xb[1] = -dx; if(th!=0.0) zb[1] = (-dx-a-b)/th; else zb[1] = 0.0;
318     xb[2] = a+b+dz*th; zb[2] = +dz;
319     xb[3] = a+b-dz*th; zb[3] = -dz;
320     x = 0.0; z = 0.0;
321     for(Int_t j=0;j<4;j++){
322         if(xb[j]>=-dx && xb[j]<=dx && zb[j]>=-dz && zb[j]<=dz){
323             x += xb[j];
324             z += zb[j];
325         } // end if
326     } // end for
327     x *= 0.5;
328     z *= 0.5;
329     return;
330 }
331 //----------------------------------------------------------------------
332 Bool_t AliITSsegmentationSSD::GetCrossing(Int_t iP,Int_t iN,
333                                           Float_t &x,Float_t &z,
334                                           Float_t c[2][2]){
335     // Given one P side strip and one N side strip, Returns kTRUE if they
336     // cross each other and the location of the two crossing strips and
337     // their correxlation matrix c[2][2].
338     /*                       _-  Z
339                     + angle /    ^
340         fNstrips           v     |   N-Side        ...0
341             \-------/------------|-----------\--------\
342             |\\\\\\/////////////.|\\\\\\\\\\\\\\\\\\\\|
343             |0\\\\/////////////..|.\\\\\\\\\\\\\\\\\\\|
344             |00\\/////////////...|..\\\\\\\\\\\\\\\\\\|
345        X <--|000/////////////... |...\\\\\\\\\\\\\\\\\|
346             |00/////////////...  | ...\\\\\\\\\\\\\\\\|
347             |0/////////////...   |  ...\\\\\\\\\\\\\\\|
348             |//////////////...   |  ...\\\\\\\\\\\\\\\|
349             /-----\--------------|--------------------/
350         fNstrips-1             P-Side              ...0
351                      |0\
352                      |00\
353         Dead region: |000/
354                      |00/
355                      |0/
356        c[2][2] is defined as follows
357        /c[0][0]  c[0][1]\ /delta iP\ = /delta x\
358        \c[1][0]  c[1][1]/ \delta iN/ = \delta z/
359     */
360     const Double_t kconst = 1.0E-04; // convert microns to cm.
361     Double_t thp,thn,th,dx,dz,p,ip,in;
362     Float_t StereoP, StereoN;
363     Angles(StereoP,StereoN);
364     
365     thp = TMath::Tan(StereoP);
366     thn = TMath::Tan(-StereoN);
367     th  = thp-thn;
368     if(th==0.0) { // parall strips then never cross.
369         x = 0.0;
370         z = 0.0;
371         c[0][0] = c[1][0] = c[0][1] = c[1][1] = 0.0;
372         return kFALSE;
373     } // end if
374     // The strips must cross some place in space.
375     ip = (Double_t) iP;       // convert to double now for speed
376     in = (Double_t) iN;       // convert to double now for speed
377     dx = 0.5*kconst*Dx();     // half distance in x in cm
378     dz = 0.5*kconst*Dz();     // half distance in z in cm
379     p  = kconst*Dpx(iP);      // Get strip spacing/pitch now
380     x  = 0.5*p+dx + (p*(in*thp-ip*thn)-2.0*dz*thp*thn)/th;
381     z  =(p*(in-ip)-dz*(thp+thn))/th;
382     // compute correlations.
383     c[0][0] = -thn*p/th; // dx/diP
384     c[1][1] = p/th;      // dz/diN
385     c[0][1] = p*thp/th;  // dx/diN
386     c[1][0] = -p/th;     // dz/diP
387     if(x<-dx || x>dx || z<-dz || z>dz) return kFALSE; // crossing is outside
388                                                       // of the detector so
389                                                       // these strips don't
390                                                       // cross.
391     return kTRUE;
392 }