HMPID/AliHMPIDv1.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 #include "AliHMPIDv1.h"     //class header
  18 #include "AliHMPIDParam.h"  //StepManager()
  19 #include "AliHMPIDHit.h"    //Hits2SDigs(),StepManager()
  20 #include "AliHMPIDDigit.h"  //Digits2Raw(), Raw2SDigits()
  21 #include "AliRawReader.h"  //Raw2SDigits()
  22 #include <TVirtualMC.h>    //StepManager() for gMC
  23 #include <TPDGCode.h>      //StepHistory()
  24 #include <AliStack.h>      //StepManager(),Hits2SDigits()
  25 #include <AliLoader.h>        //Hits2SDigits()
  26 #include <AliRunLoader.h>     //Hits2SDigits()
  27 #include <AliConst.h>
  28 #include <AliPDG.h>
  29 #include <AliMC.h>            //StepManager()
  30 #include <AliRun.h>           //CreateMaterials()
  31 #include <AliMagF.h>          //CreateMaterials()
  32 #include <TGeoManager.h>      //CreateGeometry()
  33 #include <TF1.h>              //DefineOpticalProperties()
  34 #include <TF2.h>              //DefineOpticalProperties()
  35 #include <TLorentzVector.h>   //IsLostByFresnel()
  36 #include <AliCDBManager.h>    //CreateMaterials()
  37 #include <AliCDBEntry.h>      //CreateMaterials()
  38
  39 ClassImp(AliHMPIDv1)
  40 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
  41 void AliHMPIDv1::AddAlignableVolumes()const
  42 {
  43 // Associates the symbolic volume name with the corresponding volume path. Interface method from AliModule invoked from AliMC
  44 // Arguments: none
  45 //   Returns: none
  46   for(Int_t i=AliHMPIDDigit::kMinCh;i<=AliHMPIDDigit::kMaxCh;i++)
  47     gGeoManager->SetAlignableEntry(Form("/HMPID/Chamber%i",i),Form("ALIC_1/HMPID_%i",i));
  48 }
  49 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
  50 void AliHMPIDv1::CreateMaterials()
  51 {
  52 // Definition of available HMPID materials
  53 // Arguments: none
  54 //   Returns: none
  55   AliDebug(1,"Start v1 HMPID.");
  56
  57 //data from PDG booklet 2002     density [gr/cm^3] rad len [cm] abs len [cm]
  58   Float_t   aAir[4]={12,14,16,36}    ,   zAir[4]={6,7,8,18} ,   wAir[4]={0.000124,0.755267,0.231781,0.012827} , dAir=0.00120479; Int_t nAir=4;//mixture 0.9999999
  59   Float_t aC6F14[2]={ 12.01 , 18.99} , zC6F14[2]={ 6 , 9}   , wC6F14[2]={6 , 14} , dC6F14=1.68    ; Int_t nC6F14=-2;
  60   Float_t  aSiO2[2]={ 28.09 , 15.99} ,  zSiO2[2]={14 , 8}   ,  wSiO2[2]={1 ,  2} ,  dSiO2=2.64    ; Int_t  nSiO2=-2;
  61   Float_t   aCH4[2]={ 12.01 ,  1.01} ,   zCH4[2]={ 6 , 1}   ,   wCH4[2]={1 ,  4} ,   dCH4=7.17e-4 ; Int_t   nCH4=-2;
  62   Float_t   aCsI[2]={132.90 ,126.90} ,   zCsI[2]={55 ,53}   ,   wCsI[2]={1 ,  1} ,   dCsI=0.1     ; Int_t   nCsI=-2;
  63   Float_t     aRoha= 12.01 ,               zRoha=  6 ,                              dRoha=  0.10 , radRoha= 18.80 , absRoha=  86.3/dRoha; //special material- quazi carbon
  64   Float_t       aCu= 63.55 ,                 zCu= 29 ,                                dCu=  8.96 ,   radCu=  1.43 ,   absCu= 134.9/dCu  ;
  65   Float_t        aW=183.84 ,                  zW= 74 ,                                 dW= 19.30 ,    radW=  0.35 ,    absW= 185.0/dW   ;
  66   Float_t       aAl= 26.98 ,                 zAl= 13 ,                                dAl=  2.70 ,   radAl=  8.90 ,   absAl= 106.4/dAl  ;
  67
  68     Int_t   matId=0;                           //tmp material id number
  69     Int_t   unsens =  0, sens=1;               //sensitive or unsensitive medium
  70     Int_t   itgfld = gAlice->Field()->Integ(); //type of field intergration 0 no field -1 user in guswim 1 Runge Kutta 2 helix 3 const field along z
  71     Float_t maxfld = gAlice->Field()->Max();   //max field value
  72     Float_t tmaxfd = -10.0;                    //max deflection angle due to magnetic field in one step
  73     Float_t deemax = - 0.2;                    //max fractional energy loss in one step
  74     Float_t stemax = - 0.1;                    //mas step allowed [cm]
  75     Float_t epsil  =   0.001;                  //abs tracking precision [cm]
  76     Float_t stmin  = - 0.001;                  //min step size [cm] in continius process transport, negative value: choose it automatically
  77     AliMixture(++matId,"Air"  ,aAir  ,zAir  ,dAir  ,nAir  ,wAir  ); AliMedium(kAir  ,"Air"  ,matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
  78     AliMixture(++matId,"C6F14",aC6F14,zC6F14,dC6F14,nC6F14,wC6F14); AliMedium(kC6F14,"C6F14",matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
  79     AliMixture(++matId,"SiO2" ,aSiO2 ,zSiO2 ,dSiO2 ,nSiO2 ,wSiO2 ); AliMedium(kSiO2 ,"SiO2" ,matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
  80     AliMixture(++matId,"CH4"  ,aCH4  ,zCH4  ,dCH4  ,nCH4  ,wCH4  ); AliMedium(kCH4  ,"CH4"  ,matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
  81     AliMixture(++matId,"CsI"  ,aCsI  ,zCsI  ,dCsI  ,nCsI  ,wCsI  ); AliMedium(kCsI  ,"CsI"  ,matId,   sens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);//sensitive
  82
  83     AliMaterial(++matId,"Roha",aRoha,zRoha,dRoha,radRoha,absRoha);  AliMedium(kRoha,"Roha", matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
  84     AliMaterial(++matId,"Cu"  ,aCu  ,zCu  ,dCu  ,radCu  ,absCu  );  AliMedium(kCu  ,"Cu"  , matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
  85     AliMaterial(++matId,"W"   ,aW   ,zW   ,dW   ,radW   ,absW   );  AliMedium(kW   ,"W"   , matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
  86     AliMaterial(++matId,"Al"  ,aAl  ,zAl  ,dAl  ,radAl  ,absAl  );  AliMedium(kAl  ,"Al"  , matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
  87
  88     DefineOpticalProperties();
  89 }//void AliHMPID::CreateMaterials()
  90 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
  91 void AliHMPIDv1::CreateGeometry()
  92 {
  93 //Creates detailed geometry simulation (currently GEANT volumes tree)
  94   AliDebug(1,"Start main.");
  95   if(!gMC->IsRootGeometrySupported()) return;
  96
  97   Double_t cm=1,mm=0.1*cm,mkm=0.001*mm,dx,dy,dz;//default is cm
  98
  99   TGeoVolume *pRich=gGeoManager->MakeBox("HMPID",gGeoManager->GetMedium("HMPID_CH4"),dx=(6*mm+1681*mm+6*mm)/2,  //main HMPID volume
 100                                                                                    dy=(6*mm+1466*mm+6*mm)/2,
 101                                                                                    dz=(80*mm+40*mm)*2/2);     //x,y taken from 2033P1  z from p84 TDR
 102   for(Int_t iCh=AliHMPIDDigit::kMinCh;iCh<=AliHMPIDDigit::kMaxCh;iCh++){//place 7 chambers
 103     TGeoHMatrix *pMatrix=new TGeoHMatrix;
 104     AliHMPIDParam::IdealPosition(iCh,pMatrix);
 105     gGeoManager->GetVolume("ALIC")->AddNode(pRich,iCh,pMatrix);
 106   }
 107
 108   Float_t par[3];
 109   Int_t matrixIdReturn=0; //matrix id returned by AliMatrix
 110 //Pad Panel frame  6 sectors
 111   par[0]=648*mm/2;par[1]=  411*mm/2;par[2]=40  *mm/2;gMC->Gsvolu("Rppf"     ,"BOX ",(*fIdtmed)[kAl]  ,par,3);//PPF 2001P2 inner size of the slab by 1mm more
 112   par[0]=181*mm/2;par[1]=89.25*mm/2;par[2]=38.3*mm/2;gMC->Gsvolu("RppfLarge","BOX ",(*fIdtmed)[kAir] ,par,3);//large whole
 113   par[0]=114*mm/2;par[1]=89.25*mm/2;par[2]=38.3*mm/2;gMC->Gsvolu("RppfSmall","BOX ",(*fIdtmed)[kAir] ,par,3);//small whole
 114   par[0]=644*mm/2;par[1]=  407*mm/2;par[2]= 1.7*mm/2;gMC->Gsvolu("Rpc"      ,"BOX ",(*fIdtmed)[kCsI] ,par,3);//by 0.2 mm more then actual size (PCB 2006P1)
 115
 116   gMC->Gspos("Rppf",0,"HMPID",    -335*mm,      -433*mm,  8*cm+20*mm,  0,"ONLY");//F1 2040P1 z p.84 TDR
 117   gMC->Gspos("Rppf",1,"HMPID",    +335*mm,      -433*mm,  8*cm+20*mm,  0,"ONLY");
 118   gMC->Gspos("Rppf",2,"HMPID",    -335*mm,         0*mm,  8*cm+20*mm,  0,"ONLY");
 119   gMC->Gspos("Rppf",3,"HMPID",    +335*mm,         0*mm,  8*cm+20*mm,  0,"ONLY");
 120   gMC->Gspos("Rppf",4,"HMPID",    -335*mm,      +433*mm,  8*cm+20*mm,  0,"ONLY");
 121   gMC->Gspos("Rppf",5,"HMPID",    +335*mm,      +433*mm,  8*cm+20*mm,  0,"ONLY");
 122     gMC->Gspos("Rpc"      ,1,"Rppf",       0*mm,         0*mm,   -19.15*mm,  0,"ONLY");//PPF 2001P2
 123     gMC->Gspos("RppfLarge",1,"Rppf",  -224.5*mm,  -151.875*mm,     0.85*mm,  0,"ONLY");
 124     gMC->Gspos("RppfLarge",2,"Rppf",  -224.5*mm,  - 50.625*mm,     0.85*mm,  0,"ONLY");
 125     gMC->Gspos("RppfLarge",3,"Rppf",  -224.5*mm,  + 50.625*mm,     0.85*mm,  0,"ONLY");
 126     gMC->Gspos("RppfLarge",4,"Rppf",  -224.5*mm,  +151.875*mm,     0.85*mm,  0,"ONLY");
 127     gMC->Gspos("RppfSmall",1,"Rppf",  - 65.0*mm,  -151.875*mm,     0.85*mm,  0,"ONLY");
 128     gMC->Gspos("RppfSmall",2,"Rppf",  - 65.0*mm,  - 50.625*mm,     0.85*mm,  0,"ONLY");
 129     gMC->Gspos("RppfSmall",3,"Rppf",  - 65.0*mm,  + 50.625*mm,     0.85*mm,  0,"ONLY");
 130     gMC->Gspos("RppfSmall",4,"Rppf",  - 65.0*mm,  +151.875*mm,     0.85*mm,  0,"ONLY");
 131     gMC->Gspos("RppfSmall",5,"Rppf",  + 65.0*mm,  -151.875*mm,     0.85*mm,  0,"ONLY");
 132     gMC->Gspos("RppfSmall",6,"Rppf",  + 65.0*mm,  - 50.625*mm,     0.85*mm,  0,"ONLY");
 133     gMC->Gspos("RppfSmall",7,"Rppf",  + 65.0*mm,  + 50.625*mm,     0.85*mm,  0,"ONLY");
 134     gMC->Gspos("RppfSmall",8,"Rppf",  + 65.0*mm,  +151.875*mm,     0.85*mm,  0,"ONLY");
 135     gMC->Gspos("RppfLarge",5,"Rppf",  +224.5*mm,  -151.875*mm,     0.85*mm,  0,"ONLY");
 136     gMC->Gspos("RppfLarge",6,"Rppf",  +224.5*mm,  - 50.625*mm,     0.85*mm,  0,"ONLY");
 137     gMC->Gspos("RppfLarge",7,"Rppf",  +224.5*mm,  + 50.625*mm,     0.85*mm,  0,"ONLY");
 138     gMC->Gspos("RppfLarge",8,"Rppf",  +224.5*mm,  +151.875*mm,     0.85*mm,  0,"ONLY");
 139 //Gap - anod wires 6 copies to HMPID
 140   par[0]=648*mm/2;par[1]=  411*mm/2 ;par[2]=4.45*mm/2;gMC->Gsvolu("Rgap","BOX ",(*fIdtmed)[kCH4] ,par,3);//xy as PPF 2001P2 z WP 2099P1
 141   par[0]=  0*mm  ;par[1]=  20*mkm/2 ;par[2]= 648*mm/2;gMC->Gsvolu("Rano","TUBE",(*fIdtmed)[kW]   ,par,3);//WP 2099P1 z = gap x PPF 2001P2
 142   AliMatrix(matrixIdReturn,180,0, 90,90, 90,0); //wires along x
 143
 144   gMC->Gspos("Rgap",0,"HMPID",    -335*mm,      -433*mm,8*cm-2.225*mm, 0,"ONLY"); //F1 2040P1 z WP 2099P1
 145   gMC->Gspos("Rgap",1,"HMPID",    +335*mm,      -433*mm,8*cm-2.225*mm, 0,"ONLY");
 146   gMC->Gspos("Rgap",2,"HMPID",    -335*mm,         0*mm,8*cm-2.225*mm, 0,"ONLY");
 147   gMC->Gspos("Rgap",3,"HMPID",    +335*mm,         0*mm,8*cm-2.225*mm, 0,"ONLY");
 148   gMC->Gspos("Rgap",4,"HMPID",    -335*mm,      +433*mm,8*cm-2.225*mm, 0,"ONLY");
 149   gMC->Gspos("Rgap",5,"HMPID",    +335*mm,      +433*mm,8*cm-2.225*mm, 0,"ONLY");
 150   for(int i=1;i<=96;i++)
 151     gMC->Gspos("Rano",i,"Rgap",     0*mm, -411/2*mm+i*4*mm, 0.185*mm, matrixIdReturn,"ONLY"); //WP 2099P1
 152 //Defines radiators geometry
 153   par[0]=1330*mm/2 ;par[1]= 413*mm/2  ;par[2]=  24*mm/2;  gMC->Gsvolu("Rrad"      ,"BOX ",(*fIdtmed)[kC6F14]     ,par,3); // Rad 2011P1
 154   par[0]=1330*mm/2 ;par[1]= 413*mm/2  ;par[2]=   4*mm/2;  gMC->Gsvolu("RradFront" ,"BOX ",(*fIdtmed)[kRoha]      ,par,3); //front
 155   par[0]=1330*mm/2 ;par[1]= 413*mm/2  ;par[2]=   5*mm/2;  gMC->Gsvolu("RradWin"   ,"BOX ",(*fIdtmed)[kSiO2]      ,par,3); //window
 156   par[0]=1330*mm/2 ;par[1]=   5*mm/2  ;par[2]=  15*mm/2;  gMC->Gsvolu("RradLong"  ,"BOX ",(*fIdtmed)[kRoha]      ,par,3); //long side
 157   par[0]=  10*mm/2 ;par[1]= 403*mm/2  ;par[2]=  15*mm/2;  gMC->Gsvolu("RradShort" ,"BOX ",(*fIdtmed)[kRoha]      ,par,3); //short side
 158   par[0]=   0      ;par[1]=  10*mm/2  ;par[2]=  15*mm/2;  gMC->Gsvolu("RradSpacer","TUBE",(*fIdtmed)[kSiO2]      ,par,3); //spacer
 159
 160   gMC->Gspos("Rrad",1,"HMPID",   0*mm,-434*mm,   -12*mm,  0,"ONLY"); //3 radiators to HMPID
 161   gMC->Gspos("Rrad",2,"HMPID",   0*mm,   0*mm,   -12*mm,  0,"ONLY");
 162   gMC->Gspos("Rrad",3,"HMPID",   0*mm,+434*mm,   -12*mm,  0,"ONLY");
 163     gMC->Gspos("RradFront",1,"Rrad",   0*mm,   0*mm, -10.0*mm,  0,"ONLY"); //front cover
 164     gMC->Gspos("RradWin"  ,1,"Rrad",   0*mm,   0*mm,   9.5*mm,  0,"ONLY"); //quartz window (back cover)
 165     gMC->Gspos("RradLong" ,1,"Rrad",   0*mm,-204*mm,  -0.5*mm,  0,"ONLY"); //long side
 166     gMC->Gspos("RradLong" ,2,"Rrad",   0*mm,+204*mm,  -0.5*mm,  0,"ONLY"); //long side
 167     gMC->Gspos("RradShort",1,"Rrad",-660*mm,   0*mm,  -0.5*mm,  0,"ONLY"); //short side
 168     gMC->Gspos("RradShort",2,"Rrad",+660*mm,   0*mm,  -0.5*mm,  0,"ONLY"); //short side
 169     for(int i=0;i<3;i++)
 170       for(int j=0;j<10;j++)
 171         gMC->Gspos("RradSpacer",10*i+j,"Rrad",-1330*mm/2+116*mm+j*122*mm,(i-1)*105*mm,-0.5*mm,0,"ONLY");//spacers
 172 //Defines SandBox geometry
 173   par[0]=1419*mm/2 ;par[1]=1378*mm/2;par[2]=50.5*mm/2; gMC->Gsvolu("Rsb"     ,"BOX ",(*fIdtmed)[kAir]  ,par,3);  //2072P1
 174   par[0]=1419*mm/2 ;par[1]=1378*mm/2;par[2]= 0.5*mm/2; gMC->Gsvolu("RsbCover","BOX ",(*fIdtmed)[kAl]   ,par,3);  //cover
 175   par[0]=1359*mm/2 ;par[1]=1318*mm/2;par[2]=49.5*mm/2; gMC->Gsvolu("RsbComb" ,"BOX ",(*fIdtmed)[kRoha] ,par,3);  //honeycomb structure
 176
 177   gMC->Gspos("Rsb",1,"HMPID",   0*mm, 0*mm, -73.75*mm, 0,"ONLY"); //p.84 TDR sandbox to rich
 178     gMC->Gspos("RsbComb" ,1,"Rsb", 0*mm, 0*mm,      0*mm, 0,"ONLY"); //2072P1 honeycomv to sandbox
 179     gMC->Gspos("RsbCover",1,"Rsb", 0*mm, 0*mm,    +25*mm, 0,"ONLY"); //cover to sandbox
 180     gMC->Gspos("RsbCover",2,"Rsb", 0*mm, 0*mm,    -25*mm, 0,"ONLY"); //cover to sandbox
 181   AliDebug(1,"Stop v1. HMPID option");
 182 }//CreateGeometry()
 183 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 184 void AliHMPIDv1::Init()
 185 {
 186 // This methode defines ID for sensitive volumes, i.e. such geometry volumes for which there are if(gMC->CurrentVolID()==XXX) statements in StepManager()
 187 // Arguments: none
 188 //   Returns: none
 189   AliDebug(1,"Start v1 HMPID.");
 190   fIdRad     = gMC->VolId("Rrad");
 191   fIdWin     = gMC->VolId("RradWin");
 192   fIdPc      = gMC->VolId("Rpc");
 193   fIdAmpGap  = gMC->VolId("Rgap");
 194   fIdProxGap = gMC->VolId("Rgap");
 195
 196   AliDebug(1,"Stop v1 HMPID.");
 197 }
 198 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 199 void AliHMPIDv1::DefineOpticalProperties()
 200 {
 201 // Optical properties definition.
 202   const Int_t kNbins=30;       //number of photon energy points
 203   Float_t emin=5.5,emax=8.5;         //Photon energy range,[eV]
 204   Float_t aEckov [kNbins];
 205   Float_t aAbsRad[kNbins], aAbsWin[kNbins], aAbsGap[kNbins], aAbsMet[kNbins];
 206   Float_t aIdxRad[kNbins], aIdxWin[kNbins], aIdxGap[kNbins], aIdxMet[kNbins], aIdxPc[kNbins];
 207   Float_t                                                    aQeAll [kNbins], aQePc [kNbins];
 208
 209   TF2 *pRaIF=new TF2("HidxRad","sqrt(1+0.554*(1239.84/x)^2/((1239.84/x)^2-5796)-0.0005*(y-20))"                                       ,emin,emax,0,50); //DiMauro mail temp 0-50 degrees C
 210   TF1 *pWiIF=new TF1("HidxWin","sqrt(1+46.411/(10.666*10.666-x*x)+228.71/(18.125*18.125-x*x))"                                        ,emin,emax);      //SiO2 idx TDR p.35
 211   TF1 *pGaIF=new TF1("HidxGap","1+0.12489e-6/(2.62e-4 - x*x/1239.84/1239.84)"                                                         ,emin,emax);      //?????? from where
 212
 213   TF1 *pRaAF=new TF1("HabsRad","(x<7.8)*(gaus+gaus(3))+(x>=7.8)*0.0001"                                                               ,emin,emax);  //fit from DiMauro data 28.10.03
 214   pRaAF->SetParameters(3.20491e16,-0.00917890,0.742402,3035.37,4.81171,0.626309);
 215   TF1 *pWiAF=new TF1("HabsWin","(x<8.2)*(818.8638-301.0436*x+36.89642*x*x-1.507555*x*x*x)+(x>=8.2)*0.0001"                            ,emin,emax);  //fit from DiMauro data 28.10.03
 216   TF1 *pGaAF=new TF1("HabsGap","(x<7.75)*6512.399+(x>=7.75)*3.90743e-2/(-1.655279e-1+6.307392e-2*x-8.011441e-3*x*x+3.392126e-4*x*x*x)",emin,emax);  //????? from where
 217
 218   TF1 *pQeF =new TF1("Hqe"    ,"0+(x>6.07267)*0.344811*(1-exp(-1.29730*(x-6.07267)))"                                                 ,emin,emax);  //fit from DiMauro data 28.10.03
 219
 220   for(Int_t i=0;i<kNbins;i++){
 221     Float_t eV=emin+0.1*i;  //Ckov energy in eV
 222     aEckov [i] =1e-9*eV;    //Ckov energy in GeV
 223     aAbsRad[i]=pRaAF->Eval(eV); aIdxRad[i]=1.292;//pRaIF->Eval(eV,20);      //Simulation for 20 degress C
 224     aAbsWin[i]=pWiAF->Eval(eV); aIdxWin[i]=1.5787;//pWiIF->Eval(eV);
 225     aAbsGap[i]=pGaAF->Eval(eV); aIdxGap[i]=1.0005;//pGaIF->Eval(eV);    aQeAll[i] =1;                     //QE for all other materials except for PC must be 1.
 226     aAbsMet[i] =0.0001;                aIdxMet[i]=0;                                             //metal ref idx must be 0 in order to reflect photon
 227                                        aIdxPc [i]=1;           aQePc [i]=pQeF->Eval(eV);         //PC ref idx must be 1 in order to apply photon to QE conversion
 228
 229   }
 230   gMC->SetCerenkov((*fIdtmed)[kC6F14]    , kNbins, aEckov, aAbsRad  , aQeAll , aIdxRad );
 231   gMC->SetCerenkov((*fIdtmed)[kSiO2]     , kNbins, aEckov, aAbsWin  , aQeAll , aIdxWin );
 232   gMC->SetCerenkov((*fIdtmed)[kCH4]      , kNbins, aEckov, aAbsGap  , aQeAll , aIdxGap );
 233   gMC->SetCerenkov((*fIdtmed)[kCu]       , kNbins, aEckov, aAbsMet  , aQeAll , aIdxMet );
 234   gMC->SetCerenkov((*fIdtmed)[kW]        , kNbins, aEckov, aAbsMet  , aQeAll , aIdxMet ); //n=0 means reflect photons
 235   gMC->SetCerenkov((*fIdtmed)[kCsI]      , kNbins, aEckov, aAbsMet  , aQePc  , aIdxPc  ); //n=1 means convert photons
 236   gMC->SetCerenkov((*fIdtmed)[kAl]       , kNbins, aEckov, aAbsMet  , aQeAll , aIdxMet );
 237   delete pRaAF;delete pWiAF;delete pGaAF; delete pRaIF; delete pWiIF; delete pGaIF; delete pQeF;
 238 }
 239 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 240 Bool_t AliHMPIDv1::IsLostByFresnel()
 241 {
 242 // Calculate probability for the photon to be lost by Fresnel reflection.
 243   TLorentzVector p4;
 244   Double_t mom[3],localMom[3];
 245   gMC->TrackMomentum(p4);   mom[0]=p4(1);   mom[1]=p4(2);   mom[2]=p4(3);
 246   localMom[0]=0; localMom[1]=0; localMom[2]=0;
 247   gMC->Gmtod(mom,localMom,2);
 248   Double_t localTc    = localMom[0]*localMom[0]+localMom[2]*localMom[2];
 249   Double_t localTheta = TMath::ATan2(TMath::Sqrt(localTc),localMom[1]);
 250   Double_t cotheta = TMath::Abs(TMath::Cos(localTheta));
 251   if(gMC->GetRandom()->Rndm() < Fresnel(p4.E()*1e9,cotheta,1)){
 252     AliDebug(1,"Photon lost");
 253     return kTRUE;
 254   }else
 255     return kFALSE;
 256 }//IsLostByFresnel()
 257 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 258 void AliHMPIDv1::GenFee(Float_t qtot)
 259 {
 260 // Generate FeedBack photons for the current particle. To be invoked from StepManager().
 261 // eloss=0 means photon so only pulse height distribution is to be analysed.
 262   TLorentzVector x4;
 263   gMC->TrackPosition(x4);
 264   Int_t iNphotons=gMC->GetRandom()->Poisson(0.02*qtot);  //# of feedback photons is proportional to the charge of hit
 265   AliDebug(1,Form("N photons=%i",iNphotons));
 266   Int_t j;
 267   Float_t cthf, phif, enfp = 0, sthf, e1[3], e2[3], e3[3], vmod, uswop,dir[3], phi,pol[3], mom[4];
 268 //Generate photons
 269   for(Int_t i=0;i<iNphotons;i++){//feedbacks loop
 270     Double_t ranf[2];
 271     gMC->GetRandom()->RndmArray(2,ranf);    //Sample direction
 272     cthf=ranf[0]*2-1.0;
 273     if(cthf<0) continue;
 274     sthf = TMath::Sqrt((1 - cthf) * (1 + cthf));
 275     phif = ranf[1] * 2 * TMath::Pi();
 276
 277     if(Double_t randomNumber=gMC->GetRandom()->Rndm()<=0.57)
 278       enfp = 7.5e-9;
 279     else if(randomNumber<=0.7)
 280       enfp = 6.4e-9;
 281     else
 282       enfp = 7.9e-9;
 283
 284
 285     dir[0] = sthf * TMath::Sin(phif);    dir[1] = cthf;    dir[2] = sthf * TMath::Cos(phif);
 286     gMC->Gdtom(dir, mom, 2);
 287     mom[0]*=enfp;    mom[1]*=enfp;    mom[2]*=enfp;
 288     mom[3] = TMath::Sqrt(mom[0]*mom[0]+mom[1]*mom[1]+mom[2]*mom[2]);
 289
 290     // Polarisation
 291     e1[0]=      0;    e1[1]=-dir[2];    e1[2]= dir[1];
 292     e2[0]=-dir[1];    e2[1]= dir[0];    e2[2]=      0;
 293     e3[0]= dir[1];    e3[1]=      0;    e3[2]=-dir[0];
 294
 295     vmod=0;
 296     for(j=0;j<3;j++) vmod+=e1[j]*e1[j];
 297     if (!vmod) for(j=0;j<3;j++) {
 298       uswop=e1[j];
 299       e1[j]=e3[j];
 300       e3[j]=uswop;
 301     }
 302     vmod=0;
 303     for(j=0;j<3;j++) vmod+=e2[j]*e2[j];
 304     if (!vmod) for(j=0;j<3;j++) {
 305       uswop=e2[j];
 306       e2[j]=e3[j];
 307       e3[j]=uswop;
 308     }
 309
 310     vmod=0;  for(j=0;j<3;j++) vmod+=e1[j]*e1[j];  vmod=TMath::Sqrt(1/vmod);  for(j=0;j<3;j++) e1[j]*=vmod;
 311     vmod=0;  for(j=0;j<3;j++) vmod+=e2[j]*e2[j];  vmod=TMath::Sqrt(1/vmod);  for(j=0;j<3;j++) e2[j]*=vmod;
 312
 313     phi = gMC->GetRandom()->Rndm()* 2 * TMath::Pi();
 314     for(j=0;j<3;j++) pol[j]=e1[j]*TMath::Sin(phi)+e2[j]*TMath::Cos(phi);
 315     gMC->Gdtom(pol, pol, 2);
 316     Int_t outputNtracksStored;
 317     gAlice->GetMCApp()->PushTrack(1,                             //transport
 318                      gAlice->GetMCApp()->GetCurrentTrackNumber(),//parent track
 319                      kFeedback,                                  //PID
 320                      mom[0],mom[1],mom[2],mom[3],                //track momentum
 321                      x4.X(),x4.Y(),x4.Z(),x4.T(),                //track origin
 322                      pol[0],pol[1],pol[2],                       //polarization
 323                      kPFeedBackPhoton,                           //process ID
 324                      outputNtracksStored,                        //on return how many new photons stored on stack
 325                      1.0);                                       //weight
 326   }//feedbacks loop
 327   AliDebug(1,"Stop.");
 328 }//GenerateFeedbacks()
 329 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 330 void AliHMPIDv1::Hits2SDigits()
 331 {
 332 // Interface method ivoked from AliSimulation to create a list of sdigits corresponding to list of hits. Every hit generates one or more sdigits.
 333 // Arguments: none
 334 //   Returns: none
 335   AliDebug(1,"Start.");
 336   for(Int_t iEvt=0;iEvt < GetLoader()->GetRunLoader()->GetNumberOfEvents();iEvt++){                //events loop
 337     GetLoader()->GetRunLoader()->GetEvent(iEvt);                          //get next event
 338
 339     if(!GetLoader()->TreeH()) {GetLoader()->LoadHits();                    }
 340     if(!GetLoader()->TreeS()) {GetLoader()->MakeTree("S"); MakeBranch("S");}//to
 341
 342     for(Int_t iEnt=0;iEnt<GetLoader()->TreeH()->GetEntries();iEnt++){//prims loop
 343       GetLoader()->TreeH()->GetEntry(iEnt);
 344       Hit2Sdi(Hits(),SdiLst());
 345     }//prims loop
 346     GetLoader()->TreeS()->Fill();
 347     GetLoader()->WriteSDigits("OVERWRITE");
 348     SdiReset();
 349   }//events loop
 350   GetLoader()->UnloadHits();
 351   GetLoader()->UnloadSDigits();
 352   AliDebug(1,"Stop.");
 353 }//Hits2SDigits()
 354 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 355 void AliHMPIDv1::Hit2Sdi(TClonesArray *pHitLst,TClonesArray *pSdiLst)
 356 {
 357 // Converts list of hits to list of sdigits.
 358 // Arguments: pHitLst  - list of hits provided not empty
 359 //            pSDigLst - list of sdigits where to store the results
 360 //   Returns: none
 361   for(Int_t iHit=0;iHit<pHitLst->GetEntries();iHit++){         //hits loop
 362     AliHMPIDHit *pHit=(AliHMPIDHit*)pHitLst->At(iHit);         //get pointer to current hit
 363     pHit->Hit2Sdi(pSdiLst);                                    //convert this hit to list of sdigits
 364   }//hits loop loop
 365 }//Hits2Sdi()
 366 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 367 void AliHMPIDv1::Digits2Raw()
 368 {
 369 // Interface method invoked by AliSimulation to create raw data streams from digits. Events loop is done in AliSimulation
 370 // Arguments: none
 371 //   Returns: none
 372   AliDebug(1,"Start.");
 373   GetLoader()->LoadDigits();
 374   TTree * treeD = GetLoader()->TreeD();
 375   if(!treeD) {
 376     AliError("No digits tree!");
 377     return;
 378   }
 379   treeD->GetEntry(0);
 380
 381   AliHMPIDDigit::WriteRaw(DigLst());
 382
 383   GetLoader()->UnloadDigits();
 384   AliDebug(1,"Stop.");
 385 }//Digits2Raw()
 386 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 387 Float_t AliHMPIDv1::Fresnel(Float_t ene,Float_t pdoti, Bool_t pola)
 388 {
 389 // Correction for Fresnel   ???????????
 390 // Arguments:   ene - photon energy [GeV],
 391 //              PDOTI=COS(INC.ANG.), PDOTR=COS(POL.PLANE ROT.ANG.)
 392 //   Returns:
 393     Float_t en[36] = {5.0,5.1,5.2,5.3,5.4,5.5,5.6,5.7,5.8,5.9,6.0,6.1,6.2,
 394                       6.3,6.4,6.5,6.6,6.7,6.8,6.9,7.0,7.1,7.2,7.3,7.4,7.5,7.6,7.7,
 395                       7.8,7.9,8.0,8.1,8.2,8.3,8.4,8.5};
 396     Float_t csin[36] = {2.14,2.21,2.33,2.48,2.76,2.97,2.99,2.59,2.81,3.05,
 397                         2.86,2.53,2.55,2.66,2.79,2.96,3.18,3.05,2.84,2.81,2.38,2.11,
 398                         2.01,2.13,2.39,2.73,3.08,3.15,2.95,2.73,2.56,2.41,2.12,1.95,
 399                         1.72,1.53};
 400     Float_t csik[36] = {0.,0.,0.,0.,0.,0.196,0.408,0.208,0.118,0.49,0.784,0.543,
 401                         0.424,0.404,0.371,0.514,0.922,1.102,1.139,1.376,1.461,1.253,0.878,
 402                         0.69,0.612,0.649,0.824,1.347,1.571,1.678,1.763,1.857,1.824,1.824,
 403                         1.714,1.498};
 404     Float_t xe=ene;
 405     Int_t  j=Int_t(xe*10)-49;
 406     Float_t cn=csin[j]+((csin[j+1]-csin[j])/0.1)*(xe-en[j]);
 407     Float_t ck=csik[j]+((csik[j+1]-csik[j])/0.1)*(xe-en[j]);
 408
 409     //FORMULAE FROM HANDBOOK OF OPTICS, 33.23 OR
 410     //W.R. HUNTER, J.O.S.A. 54 (1964),15 , J.O.S.A. 55(1965),1197
 411
 412     Float_t sinin=TMath::Sqrt(1-pdoti*pdoti);
 413     Float_t tanin=sinin/pdoti;
 414
 415     Float_t c1=cn*cn-ck*ck-sinin*sinin;
 416     Float_t c2=4*cn*cn*ck*ck;
 417     Float_t aO=TMath::Sqrt(0.5*(TMath::Sqrt(c1*c1+c2)+c1));
 418     Float_t b2=0.5*(TMath::Sqrt(c1*c1+c2)-c1);
 419
 420     Float_t rs=((aO-pdoti)*(aO-pdoti)+b2)/((aO+pdoti)*(aO+pdoti)+b2);
 421     Float_t rp=rs*((aO-sinin*tanin)*(aO-sinin*tanin)+b2)/((aO+sinin*tanin)*(aO+sinin*tanin)+b2);
 422
 423
 424     //CORRECTION FACTOR FOR SURFACE ROUGHNESS
 425     //B.J. STAGG  APPLIED OPTICS, 30(1991),4113
 426
 427     Float_t sigraf=18.;
 428     Float_t lamb=1240/ene;
 429     Float_t fresn;
 430
 431     Float_t  rO=TMath::Exp(-(4*TMath::Pi()*pdoti*sigraf/lamb)*(4*TMath::Pi()*pdoti*sigraf/lamb));
 432
 433     if(pola)
 434     {
 435         Float_t pdotr=0.8;                                 //DEGREE OF POLARIZATION : 1->P , -1->S
 436         fresn=0.5*(rp*(1+pdotr)+rs*(1-pdotr));
 437     }
 438     else
 439         fresn=0.5*(rp+rs);
 440
 441     fresn = fresn*rO;
 442     return fresn;
 443 }//Fresnel()
 444 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 445 void AliHMPIDv1::Print(Option_t *option)const
 446 {
 447 // Debug printout
 448   TObject::Print(option);
 449 }//void AliHMPID::Print(Option_t *option)const
 450 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 451 Bool_t AliHMPIDv1::Raw2SDigits(AliRawReader *pRR)
 452 {
 453 // Interface methode ivoked from AliSimulation to create a list of sdigits from raw digits. Events loop is done in AliSimulation
 454 // Arguments: pRR- raw reader
 455 //   Returns: kTRUE on success (currently ignored in AliSimulation::ConvertRaw2SDigits())
 456   AliHMPIDDigit sdi; //tmp sdigit, raw digit will be converted to it
 457
 458   if(!GetLoader()->TreeS()) {MakeTree("S");  MakeBranch("S");}
 459
 460   TClonesArray *pSdiLst=SdiLst(); Int_t iSdiCnt=0; //tmp list of sdigits for all chambers
 461   pRR->Select("HMPID",0,13);//select all HMPID DDL files
 462   UInt_t w32=0;
 463   while(pRR->ReadNextInt(w32)){//raw records loop (in selected DDL files)
 464     UInt_t ddl=pRR->GetDDLID(); //returns 0,1,2 ... 13
 465     sdi.Raw(ddl,w32);
 466     new((*pSdiLst)[iSdiCnt++]) AliHMPIDDigit(sdi); //add this digit to the tmp list
 467   }//raw records loop
 468   GetLoader()->TreeS()->Fill(); GetLoader()->WriteSDigits("OVERWRITE");//write out sdigits
 469   SdiReset();
 470   return kTRUE;
 471 }//Raw2SDigits
 472 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 473 void AliHMPIDv1::StepCount()
 474 {
 475 // Count number of ckovs created
 476 }
 477 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 478 void AliHMPIDv1::StepHistory()
 479 {
 480 // This methode is invoked from StepManager() in order to print out
 481   static Int_t iStepN;
 482   const char *sParticle;
 483   switch(gMC->TrackPid()){
 484     case kProton:      sParticle="PROTON"    ;break;
 485     case kNeutron:     sParticle="neutron"   ;break;
 486     case kGamma:       sParticle="gamma"     ;break;
 487     case kCerenkov:    sParticle="CKOV"    ;break;
 488     case kPi0:         sParticle="Pi0"       ;break;
 489     case kPiPlus:      sParticle="Pi+"       ;break;
 490     case kPiMinus:     sParticle="Pi-"       ;break;
 491     case kElectron:    sParticle="electron"  ;break;
 492     default:           sParticle="not known" ;break;
 493   }
 494
 495   TString flag="fanny combination";
 496   if(gMC->IsTrackAlive())
 497       if(gMC->IsTrackEntering())      flag="enters to";
 498       else if(gMC->IsTrackExiting())  flag="exits from";
 499       else if(gMC->IsTrackInside())   flag="inside";
 500   else
 501       if(gMC->IsTrackStop())          flag="stoped in";
 502
 503   Int_t vid=0,copy=0;
 504   TString path=gMC->CurrentVolName(); path.Prepend("-");path.Prepend(gMC->CurrentVolOffName(1));//current volume and his mother are always there
 505   vid=gMC->CurrentVolOffID(2,copy);  if(vid) {path.Prepend("-");path.Prepend(gMC->VolName(vid));}
 506   vid=gMC->CurrentVolOffID(3,copy);  if(vid) {path.Prepend("-");path.Prepend(gMC->VolName(vid));}
 507
 508   Printf("Step %i: %s (%i) %s %s m=%.6f GeV q=%.1f dEdX=%.4f",iStepN,sParticle,gMC->TrackPid(),flag.Data(),path.Data(),gMC->TrackMass(),gMC->TrackCharge(),gMC->Edep()*1e9);
 509
 510   Printf("Step %i: tid=%i flags alive=%i disap=%i enter=%i exit=%i inside=%i out=%i stop=%i new=%i",
 511                             iStepN, gAlice->GetMCApp()->GetCurrentTrackNumber(),
 512                             gMC->IsTrackAlive(), gMC->IsTrackDisappeared(),gMC->IsTrackEntering(), gMC->IsTrackExiting(),
 513                             gMC->IsTrackInside(),gMC->IsTrackOut(),        gMC->IsTrackStop(),     gMC->IsNewTrack());
 514
 515   Float_t a,z,den,rad,abs; a=z=den=rad=abs=-1;
 516   Int_t mid=gMC->CurrentMaterial(a,z,den,rad,abs);
 517   Printf("Step %i: id=%i a=%7.2f z=%7.2f den=%9.4f rad=%9.2f abs=%9.2f\n\n",iStepN,mid,a,z,den,rad,abs);
 518   iStepN++;
 519 }//StepHistory()
 520 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 521 void AliHMPIDv1::StepManager()
 522 {
 523 // Full Step Manager.
 524 // Arguments: none
 525 //   Returns: none
 526 //  StepHistory(); return; //uncomment to print tracks history
 527 //  StepCount(); return;     //uncomment to count photons
 528
 529   Int_t   copy; //volume copy aka node
 530
 531 //Treat photons
 532   if((gMC->TrackPid()==kCerenkov||gMC->TrackPid()==kFeedback)&&gMC->CurrentVolID(copy)==fIdPc){  //photon (Ckov or feedback) hit PC (fIdPc)
 533     if(gMC->Edep()>0){                                                                           //photon survided QE test i.e. produces electron
 534       if(IsLostByFresnel()){ gMC->StopTrack(); return;}                                          //photon lost due to fersnel reflection on PC
 535                        gMC->CurrentVolOffID(2,copy);                                             //current chamber since geomtry tree is HMPID-Rppf-Rpc
 536       Int_t   tid=     gMC->GetStack()->GetCurrentTrackNumber();                                 //take TID
 537       Int_t   pid=     gMC->TrackPid();                                                          //take PID
 538       Float_t etot=    gMC->Etot();                                                              //total hpoton energy, [GeV]
 539       Double_t x[3];   gMC->TrackPosition(x[0],x[1],x[2]);                                       //take MARS position at entrance to PC
 540       Float_t xl,yl;   AliHMPIDParam::Instance()->Mars2Lors(copy,x,xl,yl);                       //take LORS position
 541       new((*fHits)[fNhits++])AliHMPIDHit(copy,etot,pid,tid,xl,yl,x);                             //HIT for photon, position at P, etot will be set to Q
 542       GenFee(etot);                                                                              //generate feedback photons etot is modified in hit ctor to Q of hit
 543     }//photon hit PC and DE >0
 544   }//photon hit PC
 545
 546 //Treat charged particles
 547   static Float_t eloss;                                                                           //need to store mip parameters between different steps
 548   static Double_t in[3];
 549   if(gMC->TrackCharge() && gMC->CurrentVolID(copy)==fIdAmpGap){                                   //charged particle in amplification gap (fIdAmpGap)
 550     if(gMC->IsTrackEntering()||gMC->IsNewTrack()) {                                               //entering or newly created
 551       eloss=0;                                                                                    //reset Eloss collector
 552       gMC->TrackPosition(in[0],in[1],in[2]);                                                      //take position at the entrance
 553     }else if(gMC->IsTrackExiting()||gMC->IsTrackStop()||gMC->IsTrackDisappeared()){               //exiting or disappeared
 554       eloss              +=gMC->Edep();                                                            //take into account last step Eloss
 555                           gMC->CurrentVolOffID(1,copy);                                           //take current chamber since geometry tree is HMPID-Rgap
 556       Int_t tid=          gMC->GetStack()->GetCurrentTrackNumber();                               //take TID
 557       Int_t pid=          gMC->TrackPid();                                                        //take PID
 558       Double_t out[3];    gMC->TrackPosition(out[0],out[1],out[2]);                               //take MARS position at exit
 559       out[0]=0.5*(out[0]+in[0]); out[1]=0.5*(out[1]+in[1]); out[1]=0.5*(out[1]+in[1]);            //take hit position at the anod plane
 560       Float_t xl,yl;AliHMPIDParam::Instance()->Mars2Lors(copy,out,xl,yl);                         //take LORS position
 561       new((*fHits)[fNhits++])AliHMPIDHit(copy,eloss,pid,tid,xl,yl,out);                           //HIT for MIP, position near anod plane, eloss will be set to Q
 562       GenFee(eloss);                                                                              //generate feedback photons
 563     }else                                                                                         //just going inside
 564       eloss          += gMC->Edep();                                                              //collect this step eloss
 565   }//MIP in GAP
 566 }//StepManager()
 567 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++