TPC/AliTPCPRF2D.cxx

   1 ///////////////////////////////////////////////////////////////////////////////
   2 //  AliTPCPRF2D -                                                                         //
   3 //  Pad response function object in two dimesions                            //
   4 //  This class contains the basic functions for the                          //
   5 //  calculation of PRF according generic charge distribution                 //
   6 //  In Update function object calculate table of response function           //
   7 //  in discrete x and y position                                             //
   8 // This table is used for interpolation od response function in any position //
   9 // (function GetPRF)                                                          //
  10 //                                                                           //
  11 //  Origin: Marian Ivanov, Uni. of Bratislava, ivanov@fmph.uniba.sk          //
  12 //                                                                           //
  13 ///////////////////////////////////////////////////////////////////////////////
  14 #include "TMath.h"
  15 #include "AliTPCPRF2D.h"
  16 #include "TF2.h"
  17 #include <iostream.h>
  18 #include <string.h>
  19 #include "TCanvas.h"
  20 #include "TPad.h"
  21 #include "TStyle.h"
  22 #include "TH1.h"
  23 #include "TH2.h"
  24 #include "TPaveText.h"
  25 #include "TText.h"
  26
  27 extern TStyle * gStyle;
  28
  29 static const Float_t sqrt12=3.46;
  30 static const Int_t   NPRF = 100;
  31
  32
  33 static Double_t funGauss2D(Double_t *x, Double_t * par)
  34 {
  35   return ( TMath::Exp(-(x[0]*x[0])/(2*par[0]*par[0]))*
  36            TMath::Exp(-(x[1]*x[1])/(2*par[1]*par[1])));
  37
  38 }
  39
  40 static Double_t funCosh2D(Double_t *x, Double_t * par)
  41 {
  42   return ( 1/(TMath::CosH(3.14159*x[0]/(2*par[0]))*
  43            TMath::CosH(3.14159*x[1]/(2*par[1]))));
  44 }
  45
  46 static Double_t funGati2D(Double_t *x, Double_t * par)
  47 {
  48   //par[1] = is equal to k3X
  49   //par[0] is equal to pad wire distance
  50   Float_t K3=par[1];
  51   Float_t K3R=TMath::Sqrt(K3);
  52   Float_t K2=(TMath::Pi()/2)*(1-K3R/2.);
  53   Float_t K1=K2*K3R/(4*TMath::ATan(K3R));
  54   Float_t l=x[0]/par[0];
  55   Float_t tan2=TMath::TanH(K2*l);
  56   tan2*=tan2;
  57   Float_t res = K1*(1-tan2)/(1+K3*tan2);
  58  //par[4] = is equal to k3Y
  59   K3=par[4];
  60   K3R=TMath::Sqrt(K3);
  61   K2=(TMath::Pi()/2)*(1-K3R/2.);
  62   K1=K2*K3R/(4*TMath::ATan(K3R));
  63   l=x[1]/par[0];
  64   tan2=TMath::TanH(K2*l);
  65   tan2*=tan2;
  66   res = res*K1*(1-tan2)/(1+K3*tan2);
  67   return res;
  68 }
  69
  70
  71 ///////////////////////////////////////////////////////////////////////////
  72 ///////////////////////////////////////////////////////////////////////////
  73 ///////////////////////////////////////////////////////////////////////////
  74 ///////////////////////////////////////////////////////////////////////////
  75
  76 ClassImp(AliTPCPRF2D)
  77
  78 AliTPCPRF2D::AliTPCPRF2D()
  79 {
  80   ffcharge = 0;
  81   fNPRF =NPRF ;
  82   fSigmaX = 0;
  83
  84   fGRF = 0;
  85   fkNorm = 1;
  86   forigsigmaY=0;
  87   forigsigmaX=0;
  88   fNdiv = 5;
  89   //chewron default values
  90   SetPad(0.8,0.8);
  91   SetChevron(0.2,0.0,1.0);
  92   SetY(-0.2,0.2,2);
  93   // SetGauss(0.22,0.22,1);
  94 }
  95
  96 AliTPCPRF2D::~AliTPCPRF2D()
  97 {
  98   if (ffcharge!=0) delete [] ffcharge;
  99   if (fGRF !=0 ) fGRF->Delete();
 100 }
 101
 102 void AliTPCPRF2D::SetY(Float_t y1, Float_t y2, Int_t nYdiv)
 103 {
 104   //
 105   //set virtual line position
 106   //first and last line and number of lines
 107   fNYdiv = nYdiv;
 108   if (ffcharge!=0) delete [] ffcharge;
 109   ffcharge = new Float_t[fNPRF*fNYdiv];
 110   fY1=y1;
 111   fY2=y2;
 112 }
 113
 114 void AliTPCPRF2D::SetPad(Float_t width, Float_t height)
 115 {
 116   //set base chevron parameters
 117  fHeightFull=height;
 118  fWidth=width;
 119 }
 120 void AliTPCPRF2D::SetChevron(Float_t hstep,
 121                         Float_t shifty,
 122                         Float_t fac)
 123 {
 124   //set shaping of chewron parameters
 125   fHeightS=hstep;
 126   fShiftY=shifty;
 127   fK=fWidth*fac/hstep;
 128 }
 129
 130 void AliTPCPRF2D::SetChParam(Float_t width, Float_t height,
 131                   Float_t hstep, Float_t shifty, Float_t fac)
 132 {
 133   SetPad(width,height);
 134   SetChevron(hstep,shifty,fac);
 135 }
 136
 137
 138 Float_t AliTPCPRF2D::GetPRF(Float_t xin, Float_t yin, Bool_t inter)
 139 {
 140   if (ffcharge==0) return 0;
 141   //  Float_t y=Float_t(fNYdiv-1)*(yin-fY1)/(fY2-fY1);
 142   //transform position to "wire position"
 143   Float_t y=fDYtoWire*(yin-fY1);
 144   if (fNYdiv == 1) y=fY1;
 145   //normaly it find nearest line charge
 146   if (inter ==kFALSE){
 147     Int_t i=Int_t(0.5+y);
 148     if (y<0) i=Int_t(-0.5+y);
 149     if ((i<0) || (i>=fNYdiv) ) return 0;
 150     fcharge   = &(ffcharge[i*fNPRF]);
 151     return GetPRFActiv(xin);
 152   }
 153   else{
 154     //make interpolation from more fore lines
 155     Int_t i= Int_t(y);
 156     if ((i<0) || (i>=fNYdiv) ) return 0;
 157     Float_t z0=0;
 158     Float_t z1=0;
 159     Float_t z2=0;
 160     Float_t z3=0;
 161     if (i>0) {
 162       fcharge =&(ffcharge[(i-1)*fNPRF]);
 163       z0 = GetPRFActiv(xin);
 164     }
 165     fcharge =&(ffcharge[i*fNPRF]);
 166     z1=GetPRFActiv(xin);
 167     if ((i+1)<fNYdiv){
 168       fcharge =&(ffcharge[(i+1)*fNPRF]);
 169       z2 = GetPRFActiv(xin);
 170     }
 171     if ((i+2)<fNYdiv){
 172       fcharge =&(ffcharge[(i+2)*fNPRF]);
 173       z3 = GetPRFActiv(xin);
 174     }
 175     Float_t a,b,c,d,K,L;
 176     a=z1;
 177     b=(z2-z0)/2.;
 178     K=z2-a-b;
 179     L=(z3-z1)/2.-b;
 180     d=L-2*K;
 181     c=K-d;
 182     Float_t dy=y-Float_t(i);
 183         Float_t res = a+b*dy+c*dy*dy+d*dy*dy*dy;
 184         //Float_t res = z1*(1-dy)+z2*dy;
 185     return res;
 186   }
 187   return 0.;
 188 }
 189
 190
 191 Float_t AliTPCPRF2D::GetPRFActiv(Float_t xin)
 192 {
 193   //x xin DStep unit
 194   //return splaine aproximaton
 195   Float_t x = (xin*fDStepM1)+fNPRF/2;
 196   Int_t i = Int_t(x);
 197
 198   if  ( (i>0) && ((i+2)<fNPRF)) {
 199     Float_t a,b,c,d,K,L;
 200     a = fcharge[i];
 201     b = (fcharge[i+1]-fcharge[i-1])*0.5;
 202     K = fcharge[i+1]-a-b;
 203     L = (fcharge[i+2]-fcharge[i])*0.5-b;
 204     d=L-2.*K;
 205     c=K-d;
 206     Float_t dx=x-Float_t(i);
 207     Float_t res = a+b*dx+c*dx*dx+d*dx*dx*dx;
 208     return res;
 209   }
 210   else return 0;
 211 }
 212
 213
 214 Float_t  AliTPCPRF2D::GetGRF(Float_t xin, Float_t yin)
 215 {
 216   if (fGRF != 0 )
 217     return fkNorm*fGRF->Eval(xin,yin)/fInteg;
 218       else
 219     return 0.;
 220 }
 221
 222
 223 void AliTPCPRF2D::SetParam( TF2 * GRF,  Float_t kNorm,
 224                        Float_t sigmaX, Float_t sigmaY)
 225 {
 226    if (fGRF !=0 ) fGRF->Delete();
 227    fGRF = GRF;
 228    fkNorm = kNorm;
 229    if (sigmaX ==0) sigmaX=(fWidth+fK*fHeightS)/sqrt12;
 230    if (sigmaY ==0) sigmaY=(fWidth+fK*fHeightS)/sqrt12;
 231    forigsigmaX=sigmaX;
 232    forigsigmaY=sigmaY;
 233    fDStep = TMath::Sqrt(sigmaX*sigmaX+fWidth*fWidth/6.)/10.;
 234    //   Update();
 235   sprintf(fType,"User");
 236 }
 237
 238
 239 void AliTPCPRF2D::SetGauss(Float_t sigmaX, Float_t sigmaY,
 240                       Float_t kNorm)
 241 {
 242   fkNorm = kNorm;
 243   if (fGRF !=0 ) fGRF->Delete();
 244   fGRF = new TF2("fun",funGauss2D,-5.,5.,-5.,5.,4);
 245   funParam[0]=sigmaX;
 246   funParam[1]=sigmaY;
 247   funParam[2]=fK;
 248   funParam[3]=fHeightS;
 249   forigsigmaX=sigmaX;
 250   forigsigmaY=sigmaY;
 251   fGRF->SetParameters(funParam);
 252   fDStep = TMath::Sqrt(sigmaX*sigmaX+fWidth*fWidth/6.)/10.;
 253   //by default I set the step as one tenth of sigma
 254   //Update();
 255   sprintf(fType,"Gauss");
 256 }
 257
 258 void AliTPCPRF2D::SetCosh(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", funCosh2D,-5.,5.,-5.,5.,4);
 264   funParam[0]=sigmaX;
 265   funParam[1]=sigmaY;
 266   funParam[2]=fK;
 267   funParam[3]=fHeightS;
 268   fGRF->SetParameters(funParam);
 269   forigsigmaX=sigmaX;
 270   forigsigmaY=sigmaY;
 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,"Cosh");
 275 }
 276
 277 void AliTPCPRF2D::SetGati(Float_t K3X, Float_t K3Y,
 278                      Float_t padDistance,
 279                      Float_t kNorm)
 280 {
 281   fkNorm = kNorm;
 282   if (fGRF !=0 ) fGRF->Delete();
 283   fGRF = new TF2("fun", funGati2D,-5.,5.,-5.,5.,5);
 284   fK3X=K3X;
 285   fK3Y=K3Y;
 286   fPadDistance=padDistance;
 287   funParam[0]=padDistance;
 288   funParam[1]=K3X;
 289   funParam[2]=fK;
 290   funParam[3]=fHeightS;
 291   funParam[4]=K3Y;
 292   fGRF->SetParameters(funParam);
 293   forigsigmaX=padDistance;
 294   forigsigmaY=padDistance;
 295   fDStep = TMath::Sqrt(padDistance*padDistance+fWidth*fWidth/6.)/10.;
 296   //by default I set the step as one tenth of sigma
 297   //Update();
 298   sprintf(fType,"Gati");
 299 }
 300
 301
 302
 303 void AliTPCPRF2D::Update()
 304 {
 305   for (Int_t i=0; i<fNYdiv; i++){
 306     if (fNYdiv == 1) fActualY = fY1;
 307     else
 308       fActualY = fY1+Float_t(i)*(fY2-fY1)/Float_t(fNYdiv-1);
 309     fcharge   = &(ffcharge[i*fNPRF]);
 310     Update1();
 311   }
 312 }
 313
 314
 315
 316 void AliTPCPRF2D::Update1()
 317 {
 318   //initialize to 0
 319
 320
 321   Int_t i;
 322   Float_t x;
 323   for (i =0; i<fNPRF;i++)  fcharge[i] = 0;
 324   if ( fGRF == 0 ) return;
 325   ////////////////////////////////////////////////////////
 326   //I'm waiting for normal integral
 327   //in this moment only sum
 328   Float_t x2=  4*forigsigmaX;
 329   Float_t y2=  4*forigsigmaY;
 330   Float_t dx = forigsigmaX/Float_t(fNdiv*6);
 331   Float_t dy = forigsigmaY/Float_t(fNdiv*6);
 332   fInteg  = 0;
 333   for (x=0.;x<x2;x+=dx)
 334     for (Float_t y=0;y<y2;y+=dy) fInteg+=fGRF->Eval(x,y)*dx*dy;
 335   fInteg*=4;
 336   /////////////////////////////////////////////////////
 337
 338
 339   if ( fInteg == 0 ) fInteg = 1;
 340
 341     //integrate charge over pad for different distance of pad
 342     for (i =0; i<fNPRF;i++)
 343       {      //x in cm fWidth in cm
 344         //calculate integral
 345         Float_t xch = fDStep * (Float_t)(i-fNPRF/2);
 346         Float_t k=1;
 347         fcharge[i]=0;
 348         for (Float_t y=-fHeightFull/2.-fShiftY;
 349              y<fHeightFull/2.;y+=fHeightS){
 350           Float_t y2=TMath::Min((y+fHeightS),Float_t(fHeightFull/2.));
 351           Float_t y1=TMath::Max((y),Float_t(-fHeightFull/2.));
 352           Float_t x1;
 353
 354           if (k>0)
 355             x1 = (y2-y1)*fK-(fWidth+fK*fHeightS)/2.;
 356           else
 357             x1 =-(fWidth+fK*fHeightS)/2. ;
 358           Float_t x2=x1+fWidth;
 359
 360           if (y2>y1) {
 361
 362             if ((x2-x1)*fNdiv<forigsigmaX) dx=(x2-x1);
 363             else{
 364               dx= forigsigmaX/Float_t(fNdiv);
 365               dx = (x2-x1)/Float_t(Int_t(3+(x2-x1)/dx));
 366             }
 367             Float_t dy;
 368             if ((y2-y1)*fNdiv<forigsigmaY) dy=(y2-y1);
 369             else{
 370               dy= forigsigmaY/Float_t(fNdiv);
 371               dy = (y2-y1)/Float_t(Int_t(3+(y2-y1)/dy));
 372             }
 373
 374             for (x=x1;x<x2;x+=dx)
 375               for (Float_t y=y1;y<y2;y+=dy){
 376                 if ( (y>(fActualY-(4.0*forigsigmaY))) &&
 377                      (y<(fActualY+(4.0*forigsigmaY)))){
 378                   Float_t xt=x-k*fK*(y-y1);
 379                   if ((TMath::Abs(xch-xt)<4*forigsigmaX)){
 380
 381                     Float_t z0=fGRF->Eval(xch-(xt+dx/2.),fActualY-(y+dy/2.));
 382
 383                     Float_t z1=fGRF->Eval(xch-(xt+dx/2.),fActualY-y);
 384                     Float_t z2=fGRF->Eval(xch-xt,fActualY-(y+dy/2.));
 385                     Float_t z3=fGRF->Eval(xch-(xt-dx/2.),fActualY-y);
 386                     Float_t z4=fGRF->Eval(xch-xt,fActualY-(y-dy/2.));
 387                     if (z0<0) z0=0;
 388                     if (z1<0) z1=0;
 389                     if (z2<0) z2=0;
 390                     if (z3<0) z3=0;
 391                     if (z4<0) z4=0;
 392
 393                     //        Float_t a=(z1-z3)/2;
 394                     //        Float_t b=(z2-z4)/2;
 395                     Float_t c= (z3+z1-2*z0)/2.;
 396                     Float_t d= (z2+z4-2*z0)/2.;
 397                     Float_t z= (z0+c/12.+d/12.);
 398
 399                     //Float_t z= fGRF->Eval(xch-xt,fActualY-y);
 400                     if (z>0.)         fcharge[i]+=z*dx*dy/fInteg;
 401                   }
 402                 }
 403               }
 404           }
 405           k*=-1;
 406         }
 407       };
 408
 409   fSigmaX = 0;
 410   Float_t sum =0;
 411   Float_t mean=0;
 412   for (x =-fNPRF*fDStep; x<fNPRF*fDStep;x+=fDStep)
 413     {      //x in cm fWidth in cm
 414       Float_t weight = GetPRFActiv(x);
 415       fSigmaX+=x*x*weight;
 416       mean+=x*weight;
 417       sum+=weight;
 418     };
 419   if (sum>0){
 420     mean/=sum;
 421     fSigmaX = TMath::Sqrt(fSigmaX/sum-mean*mean);
 422   }
 423   else fSigmaX=0;
 424   //calculate conversion coefitient to convert position to virtual wire
 425   fDYtoWire=Float_t(fNYdiv-1)/(fY2-fY1);
 426   fDStepM1=1/fDStep;
 427 }
 428
 429 void AliTPCPRF2D::Streamer(TBuffer &R__b)
 430 {
 431    // Stream an object of class AliTPCPRF2D
 432
 433    if (R__b.IsReading()) {
 434       Version_t R__v = R__b.ReadVersion(); if (R__v) { }
 435       TObject::Streamer(R__b);
 436       //read chewron parameters
 437       R__b >> fSigmaX;
 438       R__b >> fHeightFull;
 439       R__b >> fHeightS;
 440       R__b >> fShiftY;
 441       R__b >> fWidth;
 442       R__b >> fK;
 443       R__b >> fActualY;
 444       //read charge parameters
 445       R__b >> fType[0];
 446       R__b >> fType[1];
 447       R__b >> fType[2];
 448       R__b >> fType[3];
 449       R__b >> fType[4];
 450       R__b >> forigsigmaX;
 451       R__b >> forigsigmaY;
 452       R__b >> fkNorm;
 453       R__b >> fK3X;
 454       R__b >> fK3Y;
 455       R__b >> fPadDistance;
 456       R__b >> fInteg;
 457
 458       //read functions
 459       if (fGRF!=0) {
 460         delete [] fGRF;
 461         fGRF=0;
 462       }
 463       if (strncmp(fType,"User",3)==0){
 464         fGRF= new TF2;
 465         R__b>>fGRF;
 466       }
 467       if (strncmp(fType,"Gauss",3)==0)
 468         fGRF = new TF2("fun",funGauss2D,-5.,5.,-5.,5.,4);
 469       if (strncmp(fType,"Cosh",3)==0)
 470         fGRF = new TF2("fun",funCosh2D,-5.,5.,-5.,5.,4);
 471        if (strncmp(fType,"Gati",3)==0)
 472         fGRF = new TF2("fun",funGati2D,-5.,5.,-5.,5.,5);
 473
 474       //read interpolation parameters
 475       R__b >>fY1;
 476       R__b >>fY2;
 477       R__b >>fNYdiv;
 478       R__b >>fDStep;
 479       R__b >>fNPRF;
 480       if (ffcharge!=0) delete [] ffcharge;
 481       ffcharge = new Float_t[fNPRF*fNYdiv];
 482       R__b.ReadFastArray(ffcharge,fNPRF*fNYdiv);
 483       R__b.ReadFastArray(funParam,5);
 484       if (fGRF!=0) fGRF->SetParameters(funParam);
 485       //calculate conversion coefitient to convert position to virtual wire
 486       fDYtoWire=Float_t(fNYdiv-1)/(fY2-fY1);
 487       fDStepM1=1/fDStep;
 488    } else {
 489       R__b.WriteVersion(AliTPCPRF2D::IsA());
 490       TObject::Streamer(R__b);
 491       //write chewron parameters
 492       R__b << fSigmaX;
 493       R__b << fHeightFull;
 494       R__b << fHeightS;
 495       R__b << fShiftY;
 496       R__b << fWidth;
 497       R__b << fK;
 498       R__b << fActualY;
 499       //write charge parameters
 500       R__b << fType[0];
 501       R__b << fType[1];
 502       R__b << fType[2];
 503       R__b << fType[3];
 504       R__b << fType[4];
 505
 506       R__b << forigsigmaX;
 507       R__b << forigsigmaY;
 508       R__b << fkNorm;
 509       R__b << fK3X;
 510       R__b << fK3Y;
 511       R__b << fPadDistance;
 512       R__b << fInteg;
 513
 514       if (strncmp(fType,"User",3)==0)   R__b <<fGRF;
 515       //write interpolation parameters
 516       R__b <<fY1;
 517       R__b <<fY2;
 518       R__b <<fNYdiv;
 519       R__b <<fDStep;
 520       R__b <<fNPRF;
 521       R__b.WriteFastArray(ffcharge,fNPRF*fNYdiv);
 522       R__b.WriteFastArray(funParam,5);
 523    }
 524 }
 525
 526
 527
 528
 529 void AliTPCPRF2D::DrawX(Float_t x1 ,Float_t x2,Float_t y, Bool_t inter)
 530 {
 531   if (fGRF==0) return ;
 532   const Int_t N=100;
 533   char s[100];
 534   TCanvas  * c1 = new TCanvas("canPRF","Pad response function",700,900);
 535   c1->cd();
 536   TPad * pad1 = new TPad("pad1PRF","",0.05,0.61,0.95,0.97,21);
 537   pad1->Draw();
 538   TPad * pad2 = new TPad("pad2PRF","",0.05,0.22,0.95,0.60,21);
 539   pad2->Draw();
 540
 541   //  pad1->cd();
 542   //pad2->cd();
 543   gStyle->SetOptFit(1);
 544   gStyle->SetOptStat(0);
 545   sprintf(s,"PRF response function for chevron pad");
 546   TH1F * hPRFc = new TH1F("hPRFc",s,N+1,x1,x2);
 547   Float_t x=x1;
 548   Float_t y1;
 549   //  Float_t y2;
 550
 551   for (Float_t i = 0;i<N+1;i++)
 552     {
 553       x+=(x2-x1)/Float_t(N);
 554       y1 = GetPRF(x,y,inter);
 555       hPRFc->Fill(x,y1);
 556     };
 557
 558   pad1->cd();
 559   fGRF->SetRange(x1,x1,x2,x2);
 560   fGRF->SetNpx(25);
 561   fGRF->SetNpy(25);
 562   fGRF->Draw("lego2");
 563   // hPRFo->Fit("gaus");
 564   gStyle->SetOptStat(1);
 565   pad2->cd();
 566   hPRFc->Fit("gaus");
 567   c1->cd();
 568   TPaveText * comment = new TPaveText(0.05,0.02,0.95,0.20,"NDC");
 569   comment->SetTextAlign(12);
 570   comment->SetFillColor(42);
 571   TText *title = comment->AddText("Chevron pad parameters:");
 572   title->SetTextSize(0.03);
 573   sprintf(s,"Full height of pad:  %2.2f",fHeightFull);
 574   comment->AddText(s);
 575   sprintf(s,"Height of one chevron unit h:  %2.2f cm",2*fHeightS);
 576   comment->AddText(s);
 577   sprintf(s,"Width of one chevron unit  w:  %2.2f cm",fWidth);
 578   comment->AddText(s);
 579   sprintf(s,"Overlap factor:  %2.2f",fK*fHeightS/fWidth);
 580   comment->AddText(s);
 581   sprintf(s,"Y position:  %2.2f ",y);
 582   comment->AddText(s);
 583   sprintf(s,"Sigma x of original distribution: %2.2f ",forigsigmaX);
 584   comment->AddText(s);
 585   sprintf(s,"Sigma y of original distribution: %2.2f ",forigsigmaY);
 586   comment->AddText(s);
 587   sprintf(s,"Type of original distribution: %s ",fType);
 588   comment->AddText(s);
 589   comment->Draw();
 590 }
 591
 592
 593
 594 void AliTPCPRF2D::Draw(Float_t x1 ,Float_t x2,Float_t y1, Float_t y2,
 595                   Bool_t inter, Int_t Nx, Int_t Ny)
 596 {
 597   char s[100];
 598   if (fGRF==0) return ;
 599   TCanvas  * c1 = new TCanvas("canPRF","Pad response function",700,900);
 600   c1->cd();
 601   TPad * pad1 = new TPad("pad1PRF","",0.05,0.61,0.95,0.97,21);
 602   pad1->Draw();
 603   TPad * pad2 = new TPad("pad2PRF","",0.05,0.22,0.95,0.60,21);
 604   pad2->Draw();
 605
 606   //  pad1->cd();
 607   //pad2->cd();
 608   gStyle->SetOptFit(1);
 609   gStyle->SetOptStat(0);
 610   sprintf(s,"PRF response function for chevron pad");
 611   TH2F * hPRFc = new TH2F("hPRFc",s,Nx+1,x1,x2,Ny+1,y1,y2);
 612   Float_t dx=(x2-x1)/Float_t(Nx);
 613   Float_t dy=(y2-y1)/Float_t(Ny) ;
 614   Float_t x,y,z;
 615   //  Float_t y2;
 616   for ( x = x1;x<=x2;x+=dx){
 617     for(y = y1;y<=y2;y+=dy)
 618       {
 619         z = GetPRF(x,y,inter);
 620         hPRFc->Fill(x,y,z);
 621       };
 622   }
 623   pad1->cd();
 624   fGRF->SetRange(x1,y1,x2,y2);
 625   fGRF->SetNpx(25);
 626   fGRF->SetNpy(25);
 627   fGRF->Draw("lego2");
 628   // hPRFo->Fit("gaus");
 629   gStyle->SetOptStat(1);
 630   pad2->cd();
 631   hPRFc->Draw("lego2");
 632   c1->cd();
 633   TPaveText * comment = new TPaveText(0.05,0.02,0.95,0.20,"NDC");
 634   comment->SetTextAlign(12);
 635   comment->SetFillColor(42);
 636   TText *title = comment->AddText("Chevron pad parameters:");
 637   title->SetTextSize(0.03);
 638   sprintf(s,"Full height of pad:  %2.2f",fHeightFull);
 639   comment->AddText(s);
 640   sprintf(s,"Height of one chevron unit h:  %2.2f cm",2*fHeightS);
 641   comment->AddText(s);
 642   sprintf(s,"Width of one chevron unit  w:  %2.2f cm",fWidth);
 643   comment->AddText(s);
 644   sprintf(s,"Overlap factor:  %2.2f",fK*fHeightS/fWidth);
 645   comment->AddText(s);
 646   sprintf(s,"Sigma x of original distribution: %2.2f ",forigsigmaX);
 647   comment->AddText(s);
 648   sprintf(s,"Sigma y of original distribution: %2.2f ",forigsigmaY);
 649   comment->AddText(s);
 650   sprintf(s,"Type of original distribution: %s ",fType);
 651   comment->AddText(s);
 652   comment->Draw();
 653 }
 654
 655 void AliTPCPRF2D::DrawDist(Float_t x1 ,Float_t x2,Float_t y1, Float_t y2,
 656                   Bool_t inter, Int_t Nx, Int_t Ny, Float_t thr)
 657 {
 658   const Float_t minth=0.00001;
 659   if (thr<minth) thr=minth;
 660   char s[100];
 661   if (fGRF==0) return ;
 662   TCanvas  * c1 = new TCanvas("padDistortion","COG distortion",700,900);
 663   c1->cd();
 664   TPad * pad1 = new TPad("CHARGE","",0.05,0.61,0.95,0.97,21);
 665   pad1->Draw();
 666   TPad * pad2 = new TPad("dist","",0.05,0.22,0.95,0.60,21);
 667   pad2->Draw();
 668
 669   //  pad1->cd();
 670   //pad2->cd();
 671   gStyle->SetOptFit(1);
 672   gStyle->SetOptStat(0);
 673   sprintf(s,"COG distortion (threshold=%2.2f)",thr);
 674   TH2F * hPRFDist = new TH2F("hDistortion",s,Nx+1,x1,x2,Ny+1,y1,y2);
 675   Float_t dx=(x2-x1)/Float_t(Nx);
 676   Float_t dy=(y2-y1)/Float_t(Ny) ;
 677   Float_t x,y,z,ddx;
 678   //  Float_t y2;
 679   for ( x = x1;x<(x2+dx/2.);x+=dx)
 680     for(y = y1;y<=(y2+dx/2.);y+=dy)
 681       {
 682         Float_t sumx=0;
 683         Float_t sum=0;
 684         for (Float_t padx=-fWidth;padx<(fWidth*1.1);padx+=fWidth)
 685           {
 686             z = GetPRF(x-padx,y,inter);
 687             if (z>thr){
 688               sum+=z;
 689               sumx+=z*padx;
 690             }
 691           };
 692         if (sum>minth)
 693           {
 694             ddx = (x-(sumx/sum));
 695           }
 696         else ddx=-1;
 697         if (TMath::Abs(ddx)<10)         hPRFDist->Fill(x,y,ddx);
 698       }
 699   pad1->cd();
 700   fGRF->SetRange(x1,y1,x2,y2);
 701   fGRF->SetNpx(25);
 702   fGRF->SetNpy(25);
 703   fGRF->Draw("lego2");
 704   // hPRFo->Fit("gaus");
 705   //  gStyle->SetOptStat(1);
 706   pad2->cd();
 707   hPRFDist->Draw("lego2");
 708
 709   c1->cd();
 710   TPaveText * comment = new TPaveText(0.05,0.02,0.95,0.20,"NDC");
 711   comment->SetTextAlign(12);
 712   comment->SetFillColor(42);
 713   //  TText *title = comment->AddText("Distortion of COG method");
 714   //  title->SetTextSize(0.03);
 715   TText * title = comment->AddText("Chevron pad parameters:");
 716   title->SetTextSize(0.03);
 717   sprintf(s,"Full height of pad:  %2.2f",fHeightFull);
 718   comment->AddText(s);
 719   sprintf(s,"Height of one chevron unit h:  %2.2f cm",2*fHeightS);
 720   comment->AddText(s);
 721   sprintf(s,"Width of one chevron unit  w:  %2.2f cm",fWidth);
 722   comment->AddText(s);
 723   sprintf(s,"Overlap factor:  %2.2f",fK*fHeightS/fWidth);
 724   comment->AddText(s);
 725   sprintf(s,"Sigma x of original distribution: %2.2f ",forigsigmaX);
 726   comment->AddText(s);
 727   sprintf(s,"Sigma y of original distribution: %2.2f ",forigsigmaY);
 728   comment->AddText(s);
 729   sprintf(s,"Type of original distribution: %s ",fType);
 730   comment->AddText(s);
 731   comment->Draw();
 732
 733 }
 734