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 */
  19
  20 ///////////////////////////////////////////////////////////////////////////////
  21 //  AliTPCPRF2D -                                                                         //
  22 //  Pad response function object in two dimesions                            //
  23 //  This class contains the basic functions for the                          //
  24 //  calculation of PRF according generic charge distribution                 //
  25 //  In Update function object calculate table of response function           //
  26 //  in discrete x and y position                                             //
  27 // This table is used for interpolation od response function in any position //
  28 // (function GetPRF)                                                          //
  29 //                                                                           //
  30 //  Origin: Marian Ivanov, Uni. of Bratislava, ivanov@fmph.uniba.sk          //
  31 //                                                                           //
  32 ///////////////////////////////////////////////////////////////////////////////
  33 #include "TMath.h"
  34 #include "AliTPCPRF2D.h"
  35 #include "TF2.h"
  36 #include <iostream.h>
  37 #include <string.h>
  38 #include "TCanvas.h"
  39 #include "TPad.h"
  40 #include "TStyle.h"
  41 #include "TH1.h"
  42 #include "TH2.h"
  43 #include "TPaveText.h"
  44 #include "TText.h"
  45
  46 extern TStyle * gStyle;
  47
  48 static const Float_t sqrt12=3.46;
  49 static const Int_t   NPRF = 100;
  50
  51
  52 static Double_t funGauss2D(Double_t *x, Double_t * par)
  53 {
  54   return ( TMath::Exp(-(x[0]*x[0])/(2*par[0]*par[0]))*
  55            TMath::Exp(-(x[1]*x[1])/(2*par[1]*par[1])));
  56
  57 }
  58
  59 static Double_t funCosh2D(Double_t *x, Double_t * par)
  60 {
  61   return ( 1/(TMath::CosH(3.14159*x[0]/(2*par[0]))*
  62            TMath::CosH(3.14159*x[1]/(2*par[1]))));
  63 }
  64
  65 static Double_t funGati2D(Double_t *x, Double_t * par)
  66 {
  67   //par[1] = is equal to k3X
  68   //par[0] is equal to pad wire distance
  69   Float_t K3=par[1];
  70   Float_t K3R=TMath::Sqrt(K3);
  71   Float_t K2=(TMath::Pi()/2)*(1-K3R/2.);
  72   Float_t K1=K2*K3R/(4*TMath::ATan(K3R));
  73   Float_t l=x[0]/par[0];
  74   Float_t tan2=TMath::TanH(K2*l);
  75   tan2*=tan2;
  76   Float_t res = K1*(1-tan2)/(1+K3*tan2);
  77  //par[4] = is equal to k3Y
  78   K3=par[4];
  79   K3R=TMath::Sqrt(K3);
  80   K2=(TMath::Pi()/2)*(1-K3R/2.);
  81   K1=K2*K3R/(4*TMath::ATan(K3R));
  82   l=x[1]/par[0];
  83   tan2=TMath::TanH(K2*l);
  84   tan2*=tan2;
  85   res = res*K1*(1-tan2)/(1+K3*tan2);
  86   return res;
  87 }
  88
  89
  90 ///////////////////////////////////////////////////////////////////////////
  91 ///////////////////////////////////////////////////////////////////////////
  92 ///////////////////////////////////////////////////////////////////////////
  93 ///////////////////////////////////////////////////////////////////////////
  94
  95 ClassImp(AliTPCPRF2D)
  96
  97 AliTPCPRF2D::AliTPCPRF2D()
  98 {
  99   ffcharge = 0;
 100   fNPRF =NPRF ;
 101   fSigmaX = 0;
 102
 103   fGRF = 0;
 104   fkNorm = 1;
 105   forigsigmaY=0;
 106   forigsigmaX=0;
 107   fNdiv = 5;
 108   //chewron default values
 109   SetPad(0.8,0.8);
 110   SetChevron(0.2,0.0,1.0);
 111   SetY(-0.2,0.2,2);
 112   // SetGauss(0.22,0.22,1);
 113 }
 114
 115 AliTPCPRF2D::~AliTPCPRF2D()
 116 {
 117   if (ffcharge!=0) delete [] ffcharge;
 118   if (fGRF !=0 ) fGRF->Delete();
 119 }
 120
 121 void AliTPCPRF2D::SetY(Float_t y1, Float_t y2, Int_t nYdiv)
 122 {
 123   //
 124   //set virtual line position
 125   //first and last line and number of lines
 126   fNYdiv = nYdiv;
 127   if (ffcharge!=0) delete [] ffcharge;
 128   ffcharge = new Float_t[fNPRF*fNYdiv];
 129   fY1=y1;
 130   fY2=y2;
 131 }
 132
 133 void AliTPCPRF2D::SetPad(Float_t width, Float_t height)
 134 {
 135   //set base chevron parameters
 136  fHeightFull=height;
 137  fWidth=width;
 138 }
 139 void AliTPCPRF2D::SetChevron(Float_t hstep,
 140                         Float_t shifty,
 141                         Float_t fac)
 142 {
 143   //set shaping of chewron parameters
 144   fHeightS=hstep;
 145   fShiftY=shifty;
 146   fK=fWidth*fac/hstep;
 147 }
 148
 149 void AliTPCPRF2D::SetChParam(Float_t width, Float_t height,
 150                   Float_t hstep, Float_t shifty, Float_t fac)
 151 {
 152   SetPad(width,height);
 153   SetChevron(hstep,shifty,fac);
 154 }
 155
 156
 157 Float_t AliTPCPRF2D::GetPRF(Float_t xin, Float_t yin, Bool_t inter)
 158 {
 159   if (ffcharge==0) return 0;
 160   //  Float_t y=Float_t(fNYdiv-1)*(yin-fY1)/(fY2-fY1);
 161   //transform position to "wire position"
 162   Float_t y=fDYtoWire*(yin-fY1);
 163   if (fNYdiv == 1) y=fY1;
 164   //normaly it find nearest line charge
 165   if (inter ==kFALSE){
 166     Int_t i=Int_t(0.5+y);
 167     if (y<0) i=Int_t(-0.5+y);
 168     if ((i<0) || (i>=fNYdiv) ) return 0;
 169     fcharge   = &(ffcharge[i*fNPRF]);
 170     return GetPRFActiv(xin);
 171   }
 172   else{
 173     //make interpolation from more fore lines
 174     Int_t i= Int_t(y);
 175     if ((i<0) || (i>=fNYdiv) ) return 0;
 176     Float_t z0=0;
 177     Float_t z1=0;
 178     Float_t z2=0;
 179     Float_t z3=0;
 180     if (i>0) {
 181       fcharge =&(ffcharge[(i-1)*fNPRF]);
 182       z0 = GetPRFActiv(xin);
 183     }
 184     fcharge =&(ffcharge[i*fNPRF]);
 185     z1=GetPRFActiv(xin);
 186     if ((i+1)<fNYdiv){
 187       fcharge =&(ffcharge[(i+1)*fNPRF]);
 188       z2 = GetPRFActiv(xin);
 189     }
 190     if ((i+2)<fNYdiv){
 191       fcharge =&(ffcharge[(i+2)*fNPRF]);
 192       z3 = GetPRFActiv(xin);
 193     }
 194     Float_t a,b,c,d,K,L;
 195     a=z1;
 196     b=(z2-z0)/2.;
 197     K=z2-a-b;
 198     L=(z3-z1)/2.-b;
 199     d=L-2*K;
 200     c=K-d;
 201     Float_t dy=y-Float_t(i);
 202         Float_t res = a+b*dy+c*dy*dy+d*dy*dy*dy;
 203         //Float_t res = z1*(1-dy)+z2*dy;
 204     return res;
 205   }
 206   return 0.;
 207 }
 208
 209
 210 Float_t AliTPCPRF2D::GetPRFActiv(Float_t xin)
 211 {
 212   //x xin DStep unit
 213   //return splaine aproximaton
 214   Float_t x = (xin*fDStepM1)+fNPRF/2;
 215   Int_t i = Int_t(x);
 216
 217   if  ( (i>0) && ((i+2)<fNPRF)) {
 218     Float_t a,b,c,d,K,L;
 219     a = fcharge[i];
 220     b = (fcharge[i+1]-fcharge[i-1])*0.5;
 221     K = fcharge[i+1]-a-b;
 222     L = (fcharge[i+2]-fcharge[i])*0.5-b;
 223     d=L-2.*K;
 224     c=K-d;
 225     Float_t dx=x-Float_t(i);
 226     Float_t res = a+b*dx+c*dx*dx+d*dx*dx*dx;
 227     return res;
 228   }
 229   else return 0;
 230 }
 231
 232
 233 Float_t  AliTPCPRF2D::GetGRF(Float_t xin, Float_t yin)
 234 {
 235   if (fGRF != 0 )
 236     return fkNorm*fGRF->Eval(xin,yin)/fInteg;
 237       else
 238     return 0.;
 239 }
 240
 241
 242 void AliTPCPRF2D::SetParam( TF2 * GRF,  Float_t kNorm,
 243                        Float_t sigmaX, Float_t sigmaY)
 244 {
 245    if (fGRF !=0 ) fGRF->Delete();
 246    fGRF = GRF;
 247    fkNorm = kNorm;
 248    if (sigmaX ==0) sigmaX=(fWidth+fK*fHeightS)/sqrt12;
 249    if (sigmaY ==0) sigmaY=(fWidth+fK*fHeightS)/sqrt12;
 250    forigsigmaX=sigmaX;
 251    forigsigmaY=sigmaY;
 252    fDStep = TMath::Sqrt(sigmaX*sigmaX+fWidth*fWidth/6.)/10.;
 253    //   Update();
 254   sprintf(fType,"User");
 255 }
 256
 257
 258 void AliTPCPRF2D::SetGauss(Float_t sigmaX, Float_t sigmaY,
 259                       Float_t kNorm)
 260 {
 261   fkNorm = kNorm;
 262   if (fGRF !=0 ) fGRF->Delete();
 263   fGRF = new TF2("fun",funGauss2D,-5.,5.,-5.,5.,4);
 264   funParam[0]=sigmaX;
 265   funParam[1]=sigmaY;
 266   funParam[2]=fK;
 267   funParam[3]=fHeightS;
 268   forigsigmaX=sigmaX;
 269   forigsigmaY=sigmaY;
 270   fGRF->SetParameters(funParam);
 271   fDStep = TMath::Sqrt(sigmaX*sigmaX+fWidth*fWidth/6.)/10.;
 272   //by default I set the step as one tenth of sigma
 273   //Update();
 274   sprintf(fType,"Gauss");
 275 }
 276
 277 void AliTPCPRF2D::SetCosh(Float_t sigmaX, Float_t sigmaY,
 278                      Float_t kNorm)
 279 {
 280   fkNorm = kNorm;
 281   if (fGRF !=0 ) fGRF->Delete();
 282   fGRF = new TF2("fun", funCosh2D,-5.,5.,-5.,5.,4);
 283   funParam[0]=sigmaX;
 284   funParam[1]=sigmaY;
 285   funParam[2]=fK;
 286   funParam[3]=fHeightS;
 287   fGRF->SetParameters(funParam);
 288   forigsigmaX=sigmaX;
 289   forigsigmaY=sigmaY;
 290   fDStep = TMath::Sqrt(sigmaX*sigmaX+fWidth*fWidth/6.)/10.;
 291   //by default I set the step as one tenth of sigma
 292   //Update();
 293   sprintf(fType,"Cosh");
 294 }
 295
 296 void AliTPCPRF2D::SetGati(Float_t K3X, Float_t K3Y,
 297                      Float_t padDistance,
 298                      Float_t kNorm)
 299 {
 300   fkNorm = kNorm;
 301   if (fGRF !=0 ) fGRF->Delete();
 302   fGRF = new TF2("fun", funGati2D,-5.,5.,-5.,5.,5);
 303   fK3X=K3X;
 304   fK3Y=K3Y;
 305   fPadDistance=padDistance;
 306   funParam[0]=padDistance;
 307   funParam[1]=K3X;
 308   funParam[2]=fK;
 309   funParam[3]=fHeightS;
 310   funParam[4]=K3Y;
 311   fGRF->SetParameters(funParam);
 312   forigsigmaX=padDistance;
 313   forigsigmaY=padDistance;
 314   fDStep = TMath::Sqrt(padDistance*padDistance+fWidth*fWidth/6.)/10.;
 315   //by default I set the step as one tenth of sigma
 316   //Update();
 317   sprintf(fType,"Gati");
 318 }
 319
 320
 321
 322 void AliTPCPRF2D::Update()
 323 {
 324   for (Int_t i=0; i<fNYdiv; i++){
 325     if (fNYdiv == 1) fActualY = fY1;
 326     else
 327       fActualY = fY1+Float_t(i)*(fY2-fY1)/Float_t(fNYdiv-1);
 328     fcharge   = &(ffcharge[i*fNPRF]);
 329     Update1();
 330   }
 331 }
 332
 333
 334
 335 void AliTPCPRF2D::Update1()
 336 {
 337   //initialize to 0
 338
 339
 340   Int_t i;
 341   Float_t x;
 342   for (i =0; i<fNPRF;i++)  fcharge[i] = 0;
 343   if ( fGRF == 0 ) return;
 344   ////////////////////////////////////////////////////////
 345   //I'm waiting for normal integral
 346   //in this moment only sum
 347   Float_t x2=  4*forigsigmaX;
 348   Float_t y2=  4*forigsigmaY;
 349   Float_t dx = forigsigmaX/Float_t(fNdiv*6);
 350   Float_t dy = forigsigmaY/Float_t(fNdiv*6);
 351   fInteg  = 0;
 352   for (x=0.;x<x2;x+=dx)
 353     for (Float_t y=0;y<y2;y+=dy) fInteg+=fGRF->Eval(x,y)*dx*dy;
 354   fInteg*=4;
 355   /////////////////////////////////////////////////////
 356
 357
 358   if ( fInteg == 0 ) fInteg = 1;
 359
 360     //integrate charge over pad for different distance of pad
 361     for (i =0; i<fNPRF;i++)
 362       {      //x in cm fWidth in cm
 363         //calculate integral
 364         Float_t xch = fDStep * (Float_t)(i-fNPRF/2);
 365         Float_t k=1;
 366         fcharge[i]=0;
 367         for (Float_t y=-fHeightFull/2.-fShiftY;
 368              y<fHeightFull/2.;y+=fHeightS){
 369           Float_t y2=TMath::Min((y+fHeightS),Float_t(fHeightFull/2.));
 370           Float_t y1=TMath::Max((y),Float_t(-fHeightFull/2.));
 371           Float_t x1;
 372
 373           if (k>0)
 374             x1 = (y2-y1)*fK-(fWidth+fK*fHeightS)/2.;
 375           else
 376             x1 =-(fWidth+fK*fHeightS)/2. ;
 377           Float_t x2=x1+fWidth;
 378
 379           if (y2>y1) {
 380
 381             if ((x2-x1)*fNdiv<forigsigmaX) dx=(x2-x1);
 382             else{
 383               dx= forigsigmaX/Float_t(fNdiv);
 384               dx = (x2-x1)/Float_t(Int_t(3+(x2-x1)/dx));
 385             }
 386             Float_t dy;
 387             if ((y2-y1)*fNdiv<forigsigmaY) dy=(y2-y1);
 388             else{
 389               dy= forigsigmaY/Float_t(fNdiv);
 390               dy = (y2-y1)/Float_t(Int_t(3+(y2-y1)/dy));
 391             }
 392
 393             for (x=x1;x<x2;x+=dx)
 394               for (Float_t y=y1;y<y2;y+=dy){
 395                 if ( (y>(fActualY-(4.0*forigsigmaY))) &&
 396                      (y<(fActualY+(4.0*forigsigmaY)))){
 397                   Float_t xt=x-k*fK*(y-y1);
 398                   if ((TMath::Abs(xch-xt)<4*forigsigmaX)){
 399
 400                     Float_t z0=fGRF->Eval(xch-(xt+dx/2.),fActualY-(y+dy/2.));
 401
 402                     Float_t z1=fGRF->Eval(xch-(xt+dx/2.),fActualY-y);
 403                     Float_t z2=fGRF->Eval(xch-xt,fActualY-(y+dy/2.));
 404                     Float_t z3=fGRF->Eval(xch-(xt-dx/2.),fActualY-y);
 405                     Float_t z4=fGRF->Eval(xch-xt,fActualY-(y-dy/2.));
 406                     if (z0<0) z0=0;
 407                     if (z1<0) z1=0;
 408                     if (z2<0) z2=0;
 409                     if (z3<0) z3=0;
 410                     if (z4<0) z4=0;
 411
 412                     //        Float_t a=(z1-z3)/2;
 413                     //        Float_t b=(z2-z4)/2;
 414                     Float_t c= (z3+z1-2*z0)/2.;
 415                     Float_t d= (z2+z4-2*z0)/2.;
 416                     Float_t z= (z0+c/12.+d/12.);
 417
 418                     //Float_t z= fGRF->Eval(xch-xt,fActualY-y);
 419                     if (z>0.)         fcharge[i]+=z*dx*dy/fInteg;
 420                   }
 421                 }
 422               }
 423           }
 424           k*=-1;
 425         }
 426       };
 427
 428   fSigmaX = 0;
 429   Float_t sum =0;
 430   Float_t mean=0;
 431   for (x =-fNPRF*fDStep; x<fNPRF*fDStep;x+=fDStep)
 432     {      //x in cm fWidth in cm
 433       Float_t weight = GetPRFActiv(x);
 434       fSigmaX+=x*x*weight;
 435       mean+=x*weight;
 436       sum+=weight;
 437     };
 438   if (sum>0){
 439     mean/=sum;
 440     fSigmaX = TMath::Sqrt(fSigmaX/sum-mean*mean);
 441   }
 442   else fSigmaX=0;
 443   //calculate conversion coefitient to convert position to virtual wire
 444   fDYtoWire=Float_t(fNYdiv-1)/(fY2-fY1);
 445   fDStepM1=1/fDStep;
 446 }
 447
 448 void AliTPCPRF2D::Streamer(TBuffer &R__b)
 449 {
 450    // Stream an object of class AliTPCPRF2D
 451
 452    if (R__b.IsReading()) {
 453       Version_t R__v = R__b.ReadVersion(); if (R__v) { }
 454       TObject::Streamer(R__b);
 455       //read chewron parameters
 456       R__b >> fSigmaX;
 457       R__b >> fHeightFull;
 458       R__b >> fHeightS;
 459       R__b >> fShiftY;
 460       R__b >> fWidth;
 461       R__b >> fK;
 462       R__b >> fActualY;
 463       //read charge parameters
 464       R__b >> fType[0];
 465       R__b >> fType[1];
 466       R__b >> fType[2];
 467       R__b >> fType[3];
 468       R__b >> fType[4];
 469       R__b >> forigsigmaX;
 470       R__b >> forigsigmaY;
 471       R__b >> fkNorm;
 472       R__b >> fK3X;
 473       R__b >> fK3Y;
 474       R__b >> fPadDistance;
 475       R__b >> fInteg;
 476
 477       //read functions
 478       if (fGRF!=0) {
 479         delete [] fGRF;
 480         fGRF=0;
 481       }
 482       if (strncmp(fType,"User",3)==0){
 483         fGRF= new TF2;
 484         R__b>>fGRF;
 485       }
 486       if (strncmp(fType,"Gauss",3)==0)
 487         fGRF = new TF2("fun",funGauss2D,-5.,5.,-5.,5.,4);
 488       if (strncmp(fType,"Cosh",3)==0)
 489         fGRF = new TF2("fun",funCosh2D,-5.,5.,-5.,5.,4);
 490        if (strncmp(fType,"Gati",3)==0)
 491         fGRF = new TF2("fun",funGati2D,-5.,5.,-5.,5.,5);
 492
 493       //read interpolation parameters
 494       R__b >>fY1;
 495       R__b >>fY2;
 496       R__b >>fNYdiv;
 497       R__b >>fDStep;
 498       R__b >>fNPRF;
 499       if (ffcharge!=0) delete [] ffcharge;
 500       ffcharge = new Float_t[fNPRF*fNYdiv];
 501       R__b.ReadFastArray(ffcharge,fNPRF*fNYdiv);
 502       R__b.ReadFastArray(funParam,5);
 503       if (fGRF!=0) fGRF->SetParameters(funParam);
 504       //calculate conversion coefitient to convert position to virtual wire
 505       fDYtoWire=Float_t(fNYdiv-1)/(fY2-fY1);
 506       fDStepM1=1/fDStep;
 507    } else {
 508       R__b.WriteVersion(AliTPCPRF2D::IsA());
 509       TObject::Streamer(R__b);
 510       //write chewron parameters
 511       R__b << fSigmaX;
 512       R__b << fHeightFull;
 513       R__b << fHeightS;
 514       R__b << fShiftY;
 515       R__b << fWidth;
 516       R__b << fK;
 517       R__b << fActualY;
 518       //write charge parameters
 519       R__b << fType[0];
 520       R__b << fType[1];
 521       R__b << fType[2];
 522       R__b << fType[3];
 523       R__b << fType[4];
 524
 525       R__b << forigsigmaX;
 526       R__b << forigsigmaY;
 527       R__b << fkNorm;
 528       R__b << fK3X;
 529       R__b << fK3Y;
 530       R__b << fPadDistance;
 531       R__b << fInteg;
 532
 533       if (strncmp(fType,"User",3)==0)   R__b <<fGRF;
 534       //write interpolation parameters
 535       R__b <<fY1;
 536       R__b <<fY2;
 537       R__b <<fNYdiv;
 538       R__b <<fDStep;
 539       R__b <<fNPRF;
 540       R__b.WriteFastArray(ffcharge,fNPRF*fNYdiv);
 541       R__b.WriteFastArray(funParam,5);
 542    }
 543 }
 544
 545
 546
 547
 548 void AliTPCPRF2D::DrawX(Float_t x1 ,Float_t x2,Float_t y, Bool_t inter)
 549 {
 550   if (fGRF==0) return ;
 551   const Int_t N=100;
 552   char s[100];
 553   TCanvas  * c1 = new TCanvas("canPRF","Pad response function",700,900);
 554   c1->cd();
 555   TPad * pad1 = new TPad("pad1PRF","",0.05,0.61,0.95,0.97,21);
 556   pad1->Draw();
 557   TPad * pad2 = new TPad("pad2PRF","",0.05,0.22,0.95,0.60,21);
 558   pad2->Draw();
 559
 560   //  pad1->cd();
 561   //pad2->cd();
 562   gStyle->SetOptFit(1);
 563   gStyle->SetOptStat(0);
 564   sprintf(s,"PRF response function for chevron pad");
 565   TH1F * hPRFc = new TH1F("hPRFc",s,N+1,x1,x2);
 566   Float_t x=x1;
 567   Float_t y1;
 568   //  Float_t y2;
 569
 570   for (Float_t i = 0;i<N+1;i++)
 571     {
 572       x+=(x2-x1)/Float_t(N);
 573       y1 = GetPRF(x,y,inter);
 574       hPRFc->Fill(x,y1);
 575     };
 576
 577   pad1->cd();
 578   fGRF->SetRange(x1,x1,x2,x2);
 579   fGRF->SetNpx(25);
 580   fGRF->SetNpy(25);
 581   fGRF->Draw("lego2");
 582   // hPRFo->Fit("gaus");
 583   gStyle->SetOptStat(1);
 584   pad2->cd();
 585   hPRFc->Fit("gaus");
 586   c1->cd();
 587   TPaveText * comment = new TPaveText(0.05,0.02,0.95,0.20,"NDC");
 588   comment->SetTextAlign(12);
 589   comment->SetFillColor(42);
 590   TText *title = comment->AddText("Chevron pad parameters:");
 591   title->SetTextSize(0.03);
 592   sprintf(s,"Full height of pad:  %2.2f",fHeightFull);
 593   comment->AddText(s);
 594   sprintf(s,"Height of one chevron unit h:  %2.2f cm",2*fHeightS);
 595   comment->AddText(s);
 596   sprintf(s,"Width of one chevron unit  w:  %2.2f cm",fWidth);
 597   comment->AddText(s);
 598   sprintf(s,"Overlap factor:  %2.2f",fK*fHeightS/fWidth);
 599   comment->AddText(s);
 600   sprintf(s,"Y position:  %2.2f ",y);
 601   comment->AddText(s);
 602   sprintf(s,"Sigma x of original distribution: %2.2f ",forigsigmaX);
 603   comment->AddText(s);
 604   sprintf(s,"Sigma y of original distribution: %2.2f ",forigsigmaY);
 605   comment->AddText(s);
 606   sprintf(s,"Type of original distribution: %s ",fType);
 607   comment->AddText(s);
 608   comment->Draw();
 609 }
 610
 611
 612
 613 void AliTPCPRF2D::Draw(Float_t x1 ,Float_t x2,Float_t y1, Float_t y2,
 614                   Bool_t inter, Int_t Nx, Int_t Ny)
 615 {
 616   char s[100];
 617   if (fGRF==0) return ;
 618   TCanvas  * c1 = new TCanvas("canPRF","Pad response function",700,900);
 619   c1->cd();
 620   TPad * pad1 = new TPad("pad1PRF","",0.05,0.61,0.95,0.97,21);
 621   pad1->Draw();
 622   TPad * pad2 = new TPad("pad2PRF","",0.05,0.22,0.95,0.60,21);
 623   pad2->Draw();
 624
 625   //  pad1->cd();
 626   //pad2->cd();
 627   gStyle->SetOptFit(1);
 628   gStyle->SetOptStat(0);
 629   sprintf(s,"PRF response function for chevron pad");
 630   TH2F * hPRFc = new TH2F("hPRFc",s,Nx+1,x1,x2,Ny+1,y1,y2);
 631   Float_t dx=(x2-x1)/Float_t(Nx);
 632   Float_t dy=(y2-y1)/Float_t(Ny) ;
 633   Float_t x,y,z;
 634   //  Float_t y2;
 635   for ( x = x1;x<=x2;x+=dx){
 636     for(y = y1;y<=y2;y+=dy)
 637       {
 638         z = GetPRF(x,y,inter);
 639         hPRFc->Fill(x,y,z);
 640       };
 641   }
 642   pad1->cd();
 643   fGRF->SetRange(x1,y1,x2,y2);
 644   fGRF->SetNpx(25);
 645   fGRF->SetNpy(25);
 646   fGRF->Draw("lego2");
 647   // hPRFo->Fit("gaus");
 648   gStyle->SetOptStat(1);
 649   pad2->cd();
 650   hPRFc->Draw("lego2");
 651   c1->cd();
 652   TPaveText * comment = new TPaveText(0.05,0.02,0.95,0.20,"NDC");
 653   comment->SetTextAlign(12);
 654   comment->SetFillColor(42);
 655   TText *title = comment->AddText("Chevron pad parameters:");
 656   title->SetTextSize(0.03);
 657   sprintf(s,"Full height of pad:  %2.2f",fHeightFull);
 658   comment->AddText(s);
 659   sprintf(s,"Height of one chevron unit h:  %2.2f cm",2*fHeightS);
 660   comment->AddText(s);
 661   sprintf(s,"Width of one chevron unit  w:  %2.2f cm",fWidth);
 662   comment->AddText(s);
 663   sprintf(s,"Overlap factor:  %2.2f",fK*fHeightS/fWidth);
 664   comment->AddText(s);
 665   sprintf(s,"Sigma x of original distribution: %2.2f ",forigsigmaX);
 666   comment->AddText(s);
 667   sprintf(s,"Sigma y of original distribution: %2.2f ",forigsigmaY);
 668   comment->AddText(s);
 669   sprintf(s,"Type of original distribution: %s ",fType);
 670   comment->AddText(s);
 671   comment->Draw();
 672 }
 673
 674 void AliTPCPRF2D::DrawDist(Float_t x1 ,Float_t x2,Float_t y1, Float_t y2,
 675                   Bool_t inter, Int_t Nx, Int_t Ny, Float_t thr)
 676 {
 677   const Float_t minth=0.00001;
 678   if (thr<minth) thr=minth;
 679   char s[100];
 680   if (fGRF==0) return ;
 681   TCanvas  * c1 = new TCanvas("padDistortion","COG distortion",700,900);
 682   c1->cd();
 683   TPad * pad1 = new TPad("CHARGE","",0.05,0.61,0.95,0.97,21);
 684   pad1->Draw();
 685   TPad * pad2 = new TPad("dist","",0.05,0.22,0.95,0.60,21);
 686   pad2->Draw();
 687
 688   //  pad1->cd();
 689   //pad2->cd();
 690   gStyle->SetOptFit(1);
 691   gStyle->SetOptStat(0);
 692   sprintf(s,"COG distortion (threshold=%2.2f)",thr);
 693   TH2F * hPRFDist = new TH2F("hDistortion",s,Nx+1,x1,x2,Ny+1,y1,y2);
 694   Float_t dx=(x2-x1)/Float_t(Nx);
 695   Float_t dy=(y2-y1)/Float_t(Ny) ;
 696   Float_t x,y,z,ddx;
 697   //  Float_t y2;
 698   for ( x = x1;x<(x2+dx/2.);x+=dx)
 699     for(y = y1;y<=(y2+dx/2.);y+=dy)
 700       {
 701         Float_t sumx=0;
 702         Float_t sum=0;
 703         for (Float_t padx=-fWidth;padx<(fWidth*1.1);padx+=fWidth)
 704           {
 705             z = GetPRF(x-padx,y,inter);
 706             if (z>thr){
 707               sum+=z;
 708               sumx+=z*padx;
 709             }
 710           };
 711         if (sum>minth)
 712           {
 713             ddx = (x-(sumx/sum));
 714           }
 715         else ddx=-1;
 716         if (TMath::Abs(ddx)<10)         hPRFDist->Fill(x,y,ddx);
 717       }
 718   pad1->cd();
 719   fGRF->SetRange(x1,y1,x2,y2);
 720   fGRF->SetNpx(25);
 721   fGRF->SetNpy(25);
 722   fGRF->Draw("lego2");
 723   // hPRFo->Fit("gaus");
 724   //  gStyle->SetOptStat(1);
 725   pad2->cd();
 726   hPRFDist->Draw("lego2");
 727
 728   c1->cd();
 729   TPaveText * comment = new TPaveText(0.05,0.02,0.95,0.20,"NDC");
 730   comment->SetTextAlign(12);
 731   comment->SetFillColor(42);
 732   //  TText *title = comment->AddText("Distortion of COG method");
 733   //  title->SetTextSize(0.03);
 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