removed obsolete AliTPCDigitsDisplay.C
[u/mrichter/AliRoot.git] / TPC / AliTPCPRF2D.cxx
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 $Log$
18 Revision 1.3.8.2  2000/04/10 08:40:46  kowal2
19
20 Small changes by M. Ivanov, improvements of algorithms
21
22 Revision 1.3.8.1  2000/04/10 07:56:53  kowal2
23 Not used anymore - removed
24
25 Revision 1.3  1999/10/05 17:15:46  fca
26 Minor syntax for the Alpha OSF
27
28 Revision 1.2  1999/09/29 09:24:34  fca
29 Introduction of the Copyright and cvs Log
30
31 */
32
33 ///////////////////////////////////////////////////////////////////////////////
34 //  AliTPCPRF2D -                                                              //
35 //  Pad response function object in two dimesions                            //
36 //  This class contains the basic functions for the                          //
37 //  calculation of PRF according generic charge distribution                 //
38 //  In Update function object calculate table of response function           //
39 //  in discrete x and y position                                             //
40 // This table is used for interpolation od response function in any position //
41 // (function GetPRF)                                                          //
42 //                                                                           // 
43 //  Origin: Marian Ivanov, Uni. of Bratislava, ivanov@fmph.uniba.sk          //
44 //                                                                           //
45 ///////////////////////////////////////////////////////////////////////////////
46
47
48 #include "TMath.h"
49 #include "AliTPCPRF2D.h"
50 #include "TF2.h"
51 #include <iostream.h>
52 #include <string.h>
53 #include "TCanvas.h"
54 #include "TPad.h"
55 #include "TStyle.h"
56 #include "TH1.h"
57 #include "TH2.h"
58 #include "TPaveText.h"
59 #include "TText.h"
60 //
61
62 extern TStyle * gStyle;
63
64 static const Float_t sqrt12=3.46;
65 static const Int_t   NPRF = 100;
66
67
68 static Double_t funGauss2D(Double_t *x, Double_t * par)
69
70 //Gauss function  -needde by the generic function object 
71   return ( TMath::Exp(-(x[0]*x[0])/(2*par[0]*par[0]))*
72            TMath::Exp(-(x[1]*x[1])/(2*par[1]*par[1])));
73
74 }
75
76 static Double_t funCosh2D(Double_t *x, Double_t * par)
77 {
78  //Cosh function  -needde by the generic function object 
79   return ( 1/(TMath::CosH(3.14159*x[0]/(2*par[0]))*
80            TMath::CosH(3.14159*x[1]/(2*par[1]))));
81 }    
82
83 static Double_t funGati2D(Double_t *x, Double_t * par)
84 {
85   //Gati function  -needde by the generic function object 
86   Float_t K3=par[1];
87   Float_t K3R=TMath::Sqrt(K3);
88   Float_t K2=(TMath::Pi()/2)*(1-K3R/2.);
89   Float_t K1=K2*K3R/(4*TMath::ATan(K3R));
90   Float_t l=x[0]/par[0];
91   Float_t tan2=TMath::TanH(K2*l);
92   tan2*=tan2;
93   Float_t res = K1*(1-tan2)/(1+K3*tan2);
94  //par[4] = is equal to k3Y
95   K3=par[4];
96   K3R=TMath::Sqrt(K3);
97   K2=(TMath::Pi()/2)*(1-K3R/2.);
98   K1=K2*K3R/(4*TMath::ATan(K3R));
99   l=x[1]/par[0];
100   tan2=TMath::TanH(K2*l);
101   tan2*=tan2;
102   res = res*K1*(1-tan2)/(1+K3*tan2);  
103   return res;  
104 }   
105
106 ///////////////////////////////////////////////////////////////////////////
107 ///////////////////////////////////////////////////////////////////////////
108
109 ClassImp(AliTPCPRF2D)
110
111 AliTPCPRF2D::AliTPCPRF2D()
112 {
113   //default constructor for response function object
114   ffcharge = 0;
115   fNPRF =NPRF ;
116   fSigmaX = 0;
117   fSigmaY = 0;
118
119   fGRF = 0;
120   fkNorm = 1;
121   fOrigSigmaY=0;
122   fOrigSigmaX=0;
123   fNdiv = 5;
124   //set daault angels
125   fChargeAngle = 0;
126   fCosAngle = 0;
127   //chewron default values   
128   SetPad(0.8,0.8);
129   SetChevron(0.2,0.0,1.0);
130   SetY(-0.2,0.2,2);
131 }
132
133 AliTPCPRF2D::~AliTPCPRF2D()
134 {
135   if (ffcharge!=0) delete [] ffcharge;
136   if (fGRF !=0 ) fGRF->Delete();
137 }
138
139 void AliTPCPRF2D::SetY(Float_t y1, Float_t y2, Int_t nYdiv)
140 {
141   //
142   //set virtual line position
143   //first and last line and number of lines
144   fNYdiv = nYdiv;
145   if (ffcharge!=0) delete [] ffcharge;
146   ffcharge = new Float_t[fNPRF*fNYdiv];
147   fY1=y1;
148   fY2=y2;
149 }
150
151 void AliTPCPRF2D::SetPad(Float_t width, Float_t height)
152 {
153   //set base chevron parameters
154  fHeightFull=height;
155  fWidth=width;
156 }
157 void AliTPCPRF2D::SetChevron(Float_t hstep, 
158                         Float_t shifty, 
159                         Float_t fac)
160 {
161   //set shaping of chewron parameters
162   fHeightS=hstep;
163   fShiftY=shifty;
164   fK=fWidth*fac/hstep;
165 }
166
167 void AliTPCPRF2D::SetChParam(Float_t width, Float_t height,
168                   Float_t hstep, Float_t shifty, Float_t fac)
169 {
170   SetPad(width,height);
171   SetChevron(hstep,shifty,fac);
172 }
173
174
175 Float_t AliTPCPRF2D::GetPRF(Float_t xin, Float_t yin, Bool_t inter)
176 {
177   //function which return pad response
178   //for the charge in distance xin 
179   //return  cubic aproximation of PRF or PRF at nearest virtual wire
180    if (ffcharge==0) return 0;
181   //transform position to "wire position"
182   Float_t y=fDYtoWire*(yin-fY1);
183   if (fNYdiv == 1) y=fY1;
184   //normaly it find nearest line charge
185   if (inter ==kFALSE){   
186     Int_t i=Int_t(0.5+y);
187     if (y<0) i=Int_t(-0.5+y);
188     if ((i<0) || (i>=fNYdiv) ) return 0;
189     fcharge   = &(ffcharge[i*fNPRF]);
190     return GetPRFActiv(xin);
191   }
192   else{
193     //make interpolation from more fore lines
194     Int_t i= Int_t(y);
195     if ((i<0) || (i>=fNYdiv) ) return 0;
196     Float_t z0=0;
197     Float_t z1=0;
198     Float_t z2=0;
199     Float_t z3=0;
200     if (i>0) {
201       fcharge =&(ffcharge[(i-1)*fNPRF]);
202       z0 = GetPRFActiv(xin);
203     }
204     fcharge =&(ffcharge[i*fNPRF]);
205     z1=GetPRFActiv(xin);
206     if ((i+1)<fNYdiv){
207       fcharge =&(ffcharge[(i+1)*fNPRF]);
208       z2 = GetPRFActiv(xin);
209     }
210     if ((i+2)<fNYdiv){
211       fcharge =&(ffcharge[(i+2)*fNPRF]);
212       z3 = GetPRFActiv(xin);
213     }
214     Float_t a,b,c,d,K,L;
215     a=z1;
216     b=(z2-z0)/2.;
217     K=z2-a-b;
218     L=(z3-z1)/2.-b;
219     d=L-2*K;
220     c=K-d;
221     Float_t dy=y-Float_t(i);
222         Float_t res = a+b*dy+c*dy*dy+d*dy*dy*dy;  
223     return res;            
224   }        
225   return 0.;
226
227
228
229 Float_t AliTPCPRF2D::GetPRFActiv(Float_t xin)
230 {
231   //GEt response function on given charege line 
232   //return spline aproximaton 
233   Float_t x = (xin*fDStepM1)+fNPRF/2;
234   Int_t i = Int_t(x);
235   
236   if  ( (i>0) && ((i+2)<fNPRF)) {
237     Float_t a,b,c,d,K,L;
238     a = fcharge[i];
239     b = (fcharge[i+1]-fcharge[i-1])*0.5; 
240     K = fcharge[i+1]-a-b;
241     L = (fcharge[i+2]-fcharge[i])*0.5-b;
242     d=L-2.*K;
243     c=K-d;
244     Float_t dx=x-Float_t(i);
245     Float_t res = a+b*dx+c*dx*dx+d*dx*dx*dx;  
246     return res;
247   }
248   else return 0;
249 }
250
251
252 Float_t  AliTPCPRF2D::GetGRF(Float_t xin, Float_t yin)
253 {  
254   //function which returnoriginal charge distribution
255   //this function is just normalised for fKnorm
256   if (fGRF != 0 ) 
257     return fkNorm*fGRF->Eval(xin,yin)/fInteg;
258       else
259     return 0.;
260 }
261
262    
263 void AliTPCPRF2D::SetParam( TF2 * GRF,  Float_t kNorm, 
264                        Float_t sigmaX, Float_t sigmaY)
265 {
266   //adjust parameters of the original charge distribution
267   //and pad size parameters
268    if (fGRF !=0 ) fGRF->Delete();
269    fGRF = GRF;
270    fkNorm = kNorm;
271    if (sigmaX ==0) sigmaX=(fWidth+fK*fHeightS)/sqrt12;
272    if (sigmaY ==0) sigmaY=(fWidth+fK*fHeightS)/sqrt12;
273    fOrigSigmaX=sigmaX; 
274    fOrigSigmaY=sigmaY; 
275    fDStep = TMath::Sqrt(sigmaX*sigmaX+fWidth*fWidth/6.)/10.; 
276   sprintf(fType,"User");
277 }
278   
279
280 void AliTPCPRF2D::SetGauss(Float_t sigmaX, Float_t sigmaY,
281                       Float_t kNorm)
282 {
283   // 
284   // set parameters for Gauss generic charge distribution
285   //
286   fkNorm = kNorm;
287   if (fGRF !=0 ) fGRF->Delete();
288   fGRF = new TF2("fun",funGauss2D,-5.,5.,-5.,5.,4);
289   funParam[0]=sigmaX;
290   funParam[1]=sigmaY;  
291   funParam[2]=fK;
292   funParam[3]=fHeightS;    
293   fOrigSigmaX=sigmaX;
294   fOrigSigmaY=sigmaY;
295   fGRF->SetParameters(funParam);
296   fDStep = TMath::Sqrt(sigmaX*sigmaX+fWidth*fWidth/6.)/10.; 
297   //by default I set the step as one tenth of sigma
298   sprintf(fType,"Gauss");
299 }
300
301 void AliTPCPRF2D::SetCosh(Float_t sigmaX, Float_t sigmaY,
302                      Float_t kNorm)
303
304   // set parameters for Cosh generic charge distribution
305   //
306   fkNorm = kNorm;
307   if (fGRF !=0 ) fGRF->Delete();
308   fGRF = new TF2("fun", funCosh2D,-5.,5.,-5.,5.,4);   
309   funParam[0]=sigmaX;
310   funParam[1]=sigmaY;
311   funParam[2]=fK;  
312   funParam[3]=fHeightS;
313   fGRF->SetParameters(funParam);
314   fOrigSigmaX=sigmaX;
315   fOrigSigmaY=sigmaY;
316   fDStep = TMath::Sqrt(sigmaX*sigmaX+fWidth*fWidth/6.)/10.; 
317   //by default I set the step as one tenth of sigma
318   sprintf(fType,"Cosh");
319 }
320
321 void AliTPCPRF2D::SetGati(Float_t K3X, Float_t K3Y,
322                      Float_t padDistance,
323                      Float_t kNorm)
324 {
325   // set parameters for Gati generic charge distribution
326   //
327   fkNorm = kNorm;
328   if (fGRF !=0 ) fGRF->Delete();
329   fGRF = new TF2("fun", funGati2D,-5.,5.,-5.,5.,5);  
330   fK3X=K3X;
331   fK3Y=K3Y;
332   fPadDistance=padDistance;
333   funParam[0]=padDistance;
334   funParam[1]=K3X;
335   funParam[2]=fK;  
336   funParam[3]=fHeightS;
337   funParam[4]=K3Y;
338   fGRF->SetParameters(funParam);
339   fOrigSigmaX=padDistance;
340   fOrigSigmaY=padDistance;
341   fDStep = TMath::Sqrt(padDistance*padDistance+fWidth*fWidth/6.)/10.; 
342   //by default I set the step as one tenth of sigma
343   sprintf(fType,"Gati");
344 }
345
346
347
348 void AliTPCPRF2D::Update()
349 {
350   //
351   //update fields  with interpolated values for
352   //PRF calculation
353
354   if ( fGRF == 0 ) return;  
355   //initialize interpolated values to 0
356   Int_t i;
357   //Float_t x;
358   for (i =0; i<fNPRF*fNYdiv;i++)  ffcharge[i] = 0;
359   //firstly calculate total integral of charge
360
361   ////////////////////////////////////////////////////////
362   //I'm waiting for normal integral
363   //in this moment only sum
364   Float_t x2=  4*fOrigSigmaX;
365   Float_t y2=  4*fOrigSigmaY;
366   Float_t dx = fOrigSigmaX/Float_t(fNdiv*6);
367   Float_t dy = fOrigSigmaY/Float_t(fNdiv*6);  
368   Int_t nx  = Int_t(0.5+x2/dx);
369   Int_t ny  = Int_t(0.5+y2/dy);
370   Int_t ix,iy;
371   fInteg  = 0;
372   Double_t dInteg =0;
373   for (ix=-nx;ix<=nx;ix++)
374     for ( iy=-ny;iy<=ny;iy++) 
375       dInteg+=fGRF->Eval(Float_t(ix)*dx,Float_t(iy)*dy)*dx*dy;  
376   /////////////////////////////////////////////////////
377   fInteg =dInteg;
378   if ( fInteg == 0 ) fInteg = 1; 
379
380   for (i=0; i<fNYdiv; i++){
381     if (fNYdiv == 1) fCurrentY = fY1;
382     else
383       fCurrentY = fY1+Double_t(i)*(fY2-fY1)/Double_t(fNYdiv-1);
384     fcharge   = &(ffcharge[i*fNPRF]);
385     Update1();
386   }
387   //calculate conversion coefitient to convert position to virtual wire
388   fDYtoWire=Float_t(fNYdiv-1)/(fY2-fY1);
389   fDStepM1=1/fDStep;
390   UpdateSigma();
391 }
392
393
394
395 void AliTPCPRF2D::Update1()
396 {
397   //
398   //update fields  with interpolated values for
399   //PRF calculation for given charge line
400   Int_t i;
401   Double_t x,dx,ddx,ddy,dddx,dddy;
402   Double_t cos = TMath::Cos(fChargeAngle);
403   Double_t sin = TMath::Sin(fChargeAngle);
404     
405     //integrate charge over pad for different distance of pad
406     for (i =0; i<fNPRF;i++)
407       {      
408         //x in cm fWidth in cm
409         //calculate integral 
410         Double_t xch = fDStep * (Double_t)(i-fNPRF/2);
411         Double_t k=1;
412         fcharge[i]=0;
413         
414         for (Double_t y=-fHeightFull/2.-fShiftY;             //loop over chevron steps
415              y<fHeightFull/2.;y+=fHeightS){
416           Double_t y2=TMath::Min((y+fHeightS),Double_t(fHeightFull/2.));
417           Double_t y1=TMath::Max((y),Double_t(-fHeightFull/2.));
418           Double_t x1;
419         
420           if (k>0) 
421             x1 = (y2-y1)*fK-(fWidth+fK*fHeightS)/2.;      
422           else
423             x1 =-(fWidth+fK*fHeightS)/2. ;        
424           Double_t x2=x1+fWidth;
425
426           if (y2>y1) {
427             
428             if ((x2-x1)*fNdiv<fOrigSigmaX) dx=(x2-x1);
429             else{
430               dx= fOrigSigmaX/Double_t(fNdiv);
431               dx = (x2-x1)/Double_t(Int_t(3.5+(x2-x1)/dx));       
432             }       
433             Double_t dy;
434             if ((y2-y1)*fNdiv<fOrigSigmaY) dy=(y2-y1);
435             else{             
436               dy= fOrigSigmaY/Double_t(fNdiv);
437               dy = (y2-y1)/Double_t(Int_t(3.5+(y2-y1)/dy));
438             }
439             //integrate between x1 x2 and y1 y2
440             for (x=x1;x<x2+dx/2.;x+=dx)
441               for (Double_t y=y1;y<y2+dy/2.;y+=dy){
442                 if ( (y>(fCurrentY-(4.0*fOrigSigmaY))) &&
443                      (y<(fCurrentY+(4.0*fOrigSigmaY)))){
444                   Double_t xt=x-k*fK*(y-y1); 
445                   if ((TMath::Abs(xch-xt)<4*fOrigSigmaX)){
446
447                     ddx = xch-(xt+dx/2.);
448                     ddy = fCurrentY-(y+dy/2.);
449                     dddx = cos*ddx-sin*ddy;
450                     dddy = sin*ddx+cos*ddy;
451                     Double_t z0=fGRF->Eval(dddx,dddy);  //middle point
452
453                     ddx = xch-(xt+dx/2.);
454                     ddy = fCurrentY-(y);
455                     dddx = cos*ddx-sin*ddy;
456                     dddy = sin*ddx+cos*ddy;
457                     Double_t z1=fGRF->Eval(dddx,dddy);  //point down
458
459                     ddx = xch-(xt+dx/2.);
460                     ddy = fCurrentY-(y+dy);
461                     dddx = cos*ddx-sin*ddy;
462                     dddy = sin*ddx+cos*ddy;
463                     Double_t z3=fGRF->Eval(dddx,dddy);  //point up
464
465                     ddx = xch-(xt);
466                     ddy = fCurrentY-(y+dy/2.);
467                     dddx = cos*ddx-sin*ddy;
468                     dddy = sin*ddx+cos*ddy;
469                     Double_t z2=fGRF->Eval(dddx,dddy);  //point left  
470
471                     ddx = xch-(xt+dx);
472                     ddy = fCurrentY-(y+dy/2.);
473                     dddx = cos*ddx-sin*ddy;
474                     dddy = sin*ddx+cos*ddy;
475                     Double_t z4=fGRF->Eval(dddx,dddy);  //point right
476
477                     if (z0<0) z0=0;
478                     if (z1<0) z1=0;
479                     if (z2<0) z2=0;
480                     if (z3<0) z3=0;
481                     if (z4<0) z4=0;
482                                 
483                     Double_t c= (z3+z1-2*z0)/2.;
484                     Double_t d= (z2+z4-2*z0)/2.;
485                     Double_t z= (z0+c/12.+d/12.);                               
486                                 
487                     if (z>0.)         fcharge[i]+=fkNorm*z*dx*dy/fInteg;              
488                   }
489                 }
490               }
491           }
492           k*=-1;
493         }
494       };   
495     
496 }
497
498 void AliTPCPRF2D::UpdateSigma()
499 {
500   //
501   //calulate effective sigma X and sigma y of PRF
502   fMeanX = 0;
503   fMeanY = 0;
504   fSigmaX = 0;
505   fSigmaY = 0;
506  
507   Float_t sum =0;
508   Int_t i;
509   Float_t x,y;
510
511   for (i=-1; i<=fNYdiv; i++){
512     if (fNYdiv == 1) y = fY1;
513     else
514       y = fY1+Float_t(i)*(fY2-fY1)/Float_t(fNYdiv-1);
515     for (x =-fNPRF*fDStep; x<fNPRF*fDStep;x+=fDStep)
516       {      
517         //x in cm fWidth in cm
518         Float_t weight = GetPRF(x,y);
519         fSigmaX+=x*x*weight; 
520         fSigmaY+=y*y*weight;
521         fMeanX+=x*weight;
522         fMeanY+=y*weight;
523         sum+=weight;
524     };  
525   }
526   if (sum>0){
527     fMeanX/=sum;
528     fMeanY/=sum;    
529     fSigmaX = TMath::Sqrt(fSigmaX/sum-fMeanX*fMeanX);
530     fSigmaY = TMath::Sqrt(fSigmaY/sum-fMeanY*fMeanY);   
531   }
532   else fSigmaX=0; 
533 }
534
535
536 void AliTPCPRF2D::Streamer(TBuffer &R__b)
537 {
538    // Stream an object of class AliTPCPRF2D
539
540    if (R__b.IsReading()) {
541       Version_t R__v = R__b.ReadVersion(); if (R__v) { }
542       TObject::Streamer(R__b);     
543       //read chewron parameters
544       R__b >> fHeightFull;
545       R__b >> fHeightS;
546       R__b >> fShiftY;
547       R__b >> fWidth;
548       R__b >> fK;
549       R__b >> fSigmaX;
550       R__b >> fSigmaY;
551       R__b >> fMeanX;
552       R__b >> fMeanY;
553       //read charge parameters     
554       R__b.ReadFastArray(fType,5);
555       R__b >> fOrigSigmaX;
556       R__b >> fOrigSigmaY;
557       R__b >> fkNorm;
558       R__b >> fK3X;
559       R__b >> fK3Y;
560       R__b >> fPadDistance;
561       R__b >> fInteg;      
562       //read functions
563       if (fGRF!=0) { 
564         fGRF->Delete();  
565         fGRF=0;
566       }
567       if (strncmp(fType,"User",3)==0){
568         fGRF= new TF2;
569         R__b>>fGRF;   
570       }
571       if (strncmp(fType,"Gauss",3)==0) 
572         fGRF = new TF2("fun",funGauss2D,-5.,5.,-5.,5.,4);
573       if (strncmp(fType,"Cosh",3)==0) 
574         fGRF = new TF2("fun",funCosh2D,-5.,5.,-5.,5.,4);
575        if (strncmp(fType,"Gati",3)==0) 
576         fGRF = new TF2("fun",funGati2D,-5.,5.,-5.,5.,5);      
577       //read interpolation parameters
578       R__b >>fY1;
579       R__b >>fY2;
580       R__b >>fNYdiv;  
581       R__b >>fDStep;  
582       R__b >>fNPRF;
583       if (ffcharge!=0) delete [] ffcharge;
584       ffcharge = new Float_t[fNPRF*fNYdiv];
585       R__b.ReadFastArray(ffcharge,fNPRF*fNYdiv); 
586       R__b.ReadFastArray(funParam,5); 
587       if (fGRF!=0) fGRF->SetParameters(funParam);
588       //calculate conversion coefitient to convert position to virtual wire
589       fDYtoWire=Float_t(fNYdiv-1)/(fY2-fY1);
590       fDStepM1=1/fDStep;
591    } else {
592       R__b.WriteVersion(AliTPCPRF2D::IsA());
593       TObject::Streamer(R__b);      
594       //write chewron parameters
595       R__b << fHeightFull;
596       R__b << fHeightS;
597       R__b << fShiftY;
598       R__b << fWidth;
599       R__b << fK;
600       R__b << fSigmaX;
601       R__b << fSigmaY;
602       R__b << fMeanX;
603       R__b << fMeanY;
604       //write charge parameters
605       R__b.WriteFastArray(fType,5);
606       R__b << fOrigSigmaX;
607       R__b << fOrigSigmaY;
608       R__b << fkNorm;
609       R__b << fK3X;
610       R__b << fK3Y;
611       R__b << fPadDistance;  
612       R__b << fInteg;
613
614       if (strncmp(fType,"User",3)==0)   R__b <<fGRF;         
615       //write interpolation parameters
616       R__b <<fY1;
617       R__b <<fY2;
618       R__b <<fNYdiv;   
619       R__b <<fDStep;
620       R__b <<fNPRF;    
621       R__b.WriteFastArray(ffcharge,fNPRF*fNYdiv); 
622       R__b.WriteFastArray(funParam,5); 
623    }
624 }
625
626
627
628
629 void AliTPCPRF2D::DrawX(Float_t x1 ,Float_t x2,Float_t y, Bool_t inter)
630
631   //draw pad response function at interval <x1,x2> at  given y position
632   if (fGRF==0) return ;
633   const Int_t N=100;
634   char s[100];
635   TCanvas  * c1 = new TCanvas("canPRF","Pad response function",700,900);
636   c1->cd();
637   TPad * pad1 = new TPad("pad1PRF","",0.05,0.61,0.95,0.97,21);
638   pad1->Draw();
639   TPad * pad2 = new TPad("pad2PRF","",0.05,0.22,0.95,0.60,21);
640   pad2->Draw();
641
642   gStyle->SetOptFit(1);
643   gStyle->SetOptStat(0); 
644   sprintf(s,"PRF response function for chevron pad");  
645   TH1F * hPRFc = new TH1F("hPRFc",s,N+1,x1,x2);
646   Float_t x=x1;
647   Float_t y1;
648
649   for (Float_t i = 0;i<N+1;i++)
650     {
651       x+=(x2-x1)/Float_t(N);
652       y1 = GetPRF(x,y,inter);
653       hPRFc->Fill(x,y1);
654     };
655
656   pad1->cd();
657   fGRF->SetRange(x1,x1,x2,x2); 
658   fGRF->SetNpx(25);
659   fGRF->SetNpy(25); 
660   fGRF->Draw("lego2");
661   // hPRFo->Fit("gaus");
662   gStyle->SetOptStat(1); 
663   pad2->cd();
664   hPRFc->Fit("gaus");
665   c1->cd(); 
666   TPaveText * comment = new TPaveText(0.05,0.02,0.95,0.20,"NDC");
667   comment->SetTextAlign(12);
668   comment->SetFillColor(42);
669   TText *title = comment->AddText("Chevron pad parameters:");
670   title->SetTextSize(0.03);
671   sprintf(s,"Full height of pad:  %2.2f",fHeightFull);
672   comment->AddText(s);
673   sprintf(s,"Height of one chevron unit h:  %2.2f cm",2*fHeightS);
674   comment->AddText(s);
675   sprintf(s,"Width of one chevron unit  w:  %2.2f cm",fWidth);
676   comment->AddText(s);
677   sprintf(s,"Overlap factor:  %2.2f",fK*fHeightS/fWidth);
678   comment->AddText(s);
679   sprintf(s,"Y position:  %2.2f ",y);
680   comment->AddText(s);
681   sprintf(s,"Sigma x of original distribution: %2.2f ",fOrigSigmaX);
682   comment->AddText(s);  
683   sprintf(s,"Sigma y of original distribution: %2.2f ",fOrigSigmaY);
684   comment->AddText(s);    
685   sprintf(s,"Type of original distribution: %s ",fType);
686   comment->AddText(s); 
687   comment->Draw();
688 }
689
690
691
692 void AliTPCPRF2D::Draw(Float_t x1 ,Float_t x2,Float_t y1, Float_t y2, 
693                   Bool_t inter, Int_t Nx, Int_t Ny)
694
695   char s[100];
696   if (fGRF==0) return ;
697   TCanvas  * c1 = new TCanvas("canPRF","Pad response function",700,900);
698   c1->cd();
699   TPad * pad1 = new TPad("pad1PRF","",0.05,0.61,0.95,0.97,21);
700   pad1->Draw();
701   TPad * pad2 = new TPad("pad2PRF","",0.05,0.22,0.95,0.60,21);
702   pad2->Draw();
703
704   //  pad1->cd();  
705   //pad2->cd();
706   gStyle->SetOptFit(1);
707   gStyle->SetOptStat(0); 
708   sprintf(s,"PRF response function for chevron pad");  
709   TH2F * hPRFc = new TH2F("hPRFc",s,Nx+1,x1,x2,Ny+1,y1,y2);
710   Float_t dx=(x2-x1)/Float_t(Nx);
711   Float_t dy=(y2-y1)/Float_t(Ny) ;
712   Float_t x,y,z;
713   //  Float_t y2;
714   for ( x = x1;x<=x2;x+=dx){
715     for(y = y1;y<=y2;y+=dy)
716       {
717         z = GetPRF(x,y,inter);
718         hPRFc->Fill(x,y,z);
719       };
720   }
721   pad1->cd();
722   fGRF->SetRange(x1,y1,x2,y2); 
723   fGRF->SetNpx(25);
724   fGRF->SetNpy(25); 
725   fGRF->Draw("lego2");
726   // hPRFo->Fit("gaus");
727   gStyle->SetOptStat(1); 
728   pad2->cd();
729   hPRFc->Draw("lego2");
730   c1->cd(); 
731   TPaveText * comment = new TPaveText(0.05,0.02,0.95,0.20,"NDC");
732   comment->SetTextAlign(12);
733   comment->SetFillColor(42);
734   TText *title = comment->AddText("Chevron pad parameters:");
735   title->SetTextSize(0.03);
736   sprintf(s,"Full height of pad:  %2.2f",fHeightFull);
737   comment->AddText(s);
738   sprintf(s,"Height of one chevron unit h:  %2.2f cm",2*fHeightS);
739   comment->AddText(s);
740   sprintf(s,"Width of one chevron unit  w:  %2.2f cm",fWidth);
741   comment->AddText(s);
742   sprintf(s,"Overlap factor:  %2.2f",fK*fHeightS/fWidth);
743   comment->AddText(s); 
744   sprintf(s,"Sigma x of original distribution: %2.2f ",fOrigSigmaX);
745   comment->AddText(s);  
746   sprintf(s,"Sigma y of original distribution: %2.2f ",fOrigSigmaY);
747   comment->AddText(s);    
748   sprintf(s,"Type of original distribution: %s ",fType);
749   comment->AddText(s); 
750   comment->Draw();
751 }
752
753 void AliTPCPRF2D::DrawDist(Float_t x1 ,Float_t x2,Float_t y1, Float_t y2, 
754                   Bool_t inter, Int_t Nx, Int_t Ny, Float_t thr)
755
756   const Float_t minth=0.00001;
757   if (thr<minth) thr=minth;
758   char s[100];
759   if (fGRF==0) return ;
760   TCanvas  * c1 = new TCanvas("padDistortion","COG distortion",700,900);
761   c1->cd();
762   TPad * pad1 = new TPad("CHARGE","",0.05,0.61,0.95,0.97,21);
763   pad1->Draw();
764   TPad * pad2 = new TPad("dist","",0.05,0.22,0.95,0.60,21);
765   pad2->Draw();
766
767   //  pad1->cd();  
768   //pad2->cd();
769   gStyle->SetOptFit(1);
770   gStyle->SetOptStat(0); 
771   sprintf(s,"COG distortion (threshold=%2.2f)",thr);  
772   TH2F * hPRFDist = new TH2F("hDistortion",s,Nx+1,x1,x2,Ny+1,y1,y2);
773   Float_t dx=(x2-x1)/Float_t(Nx);
774   Float_t dy=(y2-y1)/Float_t(Ny) ;
775   Float_t x,y,z,ddx;
776   //  Float_t y2;
777   for ( x = x1;x<(x2+3.1*dx);x+=dx)
778     for(y = y1;y<(y2+3.1*dx);y+=dy)
779       {
780         Float_t sumx=0;
781         Float_t sum=0;
782         for (Int_t i=-3;i<=3;i++)
783         //      for (Float_t padx=-fWidth;padx<(fWidth*1.1);padx+=fWidth)
784           {         
785             Float_t padx=Float_t(i)*fWidth;
786             z = GetPRF(x-padx,y,inter); 
787             if (z>thr){
788               sum+=z;
789               sumx+=z*padx;
790             }   
791           };    
792         if (sum>minth)  
793           {
794             ddx = (x-(sumx/sum));
795           }
796         else ddx=-1;
797         if (TMath::Abs(ddx)<10)         hPRFDist->Fill(x,y,ddx);
798       }
799   pad1->cd();
800   fGRF->SetRange(x1,y1,x2,y2); 
801   fGRF->SetNpx(25);
802   fGRF->SetNpy(25); 
803   fGRF->Draw("lego2");
804   // hPRFo->Fit("gaus");
805   //  gStyle->SetOptStat(1); 
806   pad2->cd();
807   hPRFDist->Draw("lego2");
808   
809   c1->cd(); 
810   TPaveText * comment = new TPaveText(0.05,0.02,0.95,0.20,"NDC");
811   comment->SetTextAlign(12);
812   comment->SetFillColor(42);
813   //  TText *title = comment->AddText("Distortion of COG method");
814   //  title->SetTextSize(0.03);
815   TText * title = comment->AddText("Chevron pad parameters:");
816   title->SetTextSize(0.03);
817   sprintf(s,"Full height of pad:  %2.2f",fHeightFull);
818   comment->AddText(s);
819   sprintf(s,"Height of one chevron unit h:  %2.2f cm",2*fHeightS);
820   comment->AddText(s);
821   sprintf(s,"Width of one chevron unit  w:  %2.2f cm",fWidth);
822   comment->AddText(s);
823   sprintf(s,"Overlap factor:  %2.2f",fK*fHeightS/fWidth);
824   comment->AddText(s); 
825   sprintf(s,"Sigma x of original distribution: %2.2f ",fOrigSigmaX);
826   comment->AddText(s);  
827   sprintf(s,"Sigma y of original distribution: %2.2f ",fOrigSigmaY);
828   comment->AddText(s);    
829   sprintf(s,"Type of original distribution: %s ",fType);
830   comment->AddText(s); 
831   comment->Draw();
832   
833 }
834