// **************************************************************************
// * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
// *                                                                        *
// * Author: The ALICE Off-line Project.                                    *
// * Contributors are mentioned in the code where appropriate.              *
// *                                                                        *
// * Permission to use, copy, modify and distribute this software and its   *
// * documentation strictly for non-commercial purposes is hereby granted   *
// * without fee, provided that the above copyright notice appears in all   *
// * copies and that both the copyright notice and this permission notice   *
// * appear in the supporting documentation. The authors make no claims     *
// * about the suitability of this software for any purpose. It is          *
// * provided "as is" without express or implied warranty.                  *
// **************************************************************************


#include "AliHMPIDv2.h"       //class header
#include "AliHMPIDParam.h"    //StepManager()
#include "AliHMPIDHit.h"      //Hits2SDigs(),StepManager()
#include "AliHMPIDDigit.h"    //Digits2Raw(), Raw2SDigits()
#include "AliHMPIDRawStream.h"  //Digits2Raw(), Raw2SDigits()
#include "AliRawReader.h"     //Raw2SDigits()
#include "AliTrackReference.h"
#include <TVirtualMC.h>       //StepManager() for TVirtualMC::GetMC()
#include <TPDGCode.h>         //StepHistory() 
#include <AliStack.h>         //StepManager(),Hits2SDigits()78.6
#include <AliLoader.h>        //Hits2SDigits()
#include <AliRunLoader.h>     //Hits2SDigits()
#include <AliMC.h>            //StepManager()      
#include <AliRun.h>           //CreateMaterials()    
#include <AliMagF.h>          //CreateMaterials()
#include "AliGeomManager.h"   //AddAlignableVolumes()
#include <AliCDBEntry.h>      //CreateMaterials()
#include <AliCDBManager.h>    //CreateMaterials()
#include <TF1.h>              //DefineOpticalProperties()
#include <TF2.h>              //DefineOpticalProperties()
#include <TGeoGlobalMagField.h>
#include <TGeoPhysicalNode.h> //AddAlignableVolumes()
#include <TLorentzVector.h>   //IsLostByFresnel() 
#include <TTree.h>

ClassImp(AliHMPIDv2)    
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::AddAlignableVolumes()const
{
// Associates the symbolic volume name with the corresponding volume path. Interface method from AliModule invoked from AliMC
// Arguments: none
//   Returns: none   

  AliGeomManager::ELayerID idHMPID = AliGeomManager::kHMPID;
  Int_t modUID, modnum = 0;

  TGeoHMatrix *pGm = new TGeoHMatrix;
  Double_t trans[3]={0.5*131.24,0.5*126.16,0};                            //translation from LORS to TGeo RS (half size AllX, half size allY,0)
  pGm->SetTranslation(trans);
 
  Double_t ph[7]={10.,10., 30.,30.,30. ,50.,50};

  for(Int_t iCh=AliHMPIDParam::kMinCh;iCh<=AliHMPIDParam::kMaxCh;iCh++) {
    modUID = AliGeomManager::LayerToVolUID(idHMPID,modnum++);
    if(!gGeoManager->SetAlignableEntry(Form("/HMPID/Chamber%i",iCh),Form("ALIC_1/Hmp_%i",iCh),modUID))
	    AliError("AliHMPIDv3::Unable to set alignable entry!!");  //aligment without AliCluster3D
    //Get Tracking To Local matricies for alignment with AliCluster3D
    TGeoPNEntry *eCh = gGeoManager->GetAlignableEntryByUID(modUID);
    TGeoHMatrix *globMatrix = eCh->GetGlobalOrig();

    //Double_t phi = 20.0 * ((iCh+1) / 3) + 10.0;
    Double_t phi = ph[iCh];
    TGeoHMatrix *t2l  = new TGeoHMatrix();
    t2l->RotateZ(phi);
    t2l->MultiplyLeft(&(globMatrix->Inverse()));
    eCh->SetMatrix(t2l);
  }//iCh loop
}
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::CreateMaterials()
{
// Definition of available HMPID materials  
// Arguments: none
//   Returns: none    
  AliDebug(1,"Start v2 HMPID.");
    
    //clm update material definition later on from Antonello
    
//data from PDG booklet 2002     density [gr/cm^3] rad len [cm] abs len [cm]    
  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
  Float_t aC6F14[2]={ 12.01 , 18.99} , zC6F14[2]={ 6 , 9}   , wC6F14[2]={6 , 14} , dC6F14=1.68    ; Int_t nC6F14=-2;
  Float_t  aSiO2[2]={ 28.09 , 15.99} ,  zSiO2[2]={14 , 8}   ,  wSiO2[2]={1 ,  2} ,  dSiO2=2.64    ; Int_t  nSiO2=-2; 
  Float_t   aCH4[2]={ 12.01 ,  1.01} ,   zCH4[2]={ 6 , 1}   ,   wCH4[2]={1 ,  4} ,   dCH4=7.17e-4 ; Int_t   nCH4=-2; 
// not necessary...PCB properties instead! Float_t   aCsI[2]={132.90 ,126.90} ,   zCsI[2]={55 ,53}   ,   wCsI[2]={1 ,  1} ,   dCsI=0.1     ; Int_t   nCsI=-2; 
  
  Float_t     aRoha = 12.01 ,   zRoha =  6 ,  dRoha =  0.10    ,   radRoha = 18.80 , absRoha =  86.3/dRoha; //special material- quasi quartz
  Float_t       aCu = 63.55 ,   zCu   = 29 ,  dCu   =  8.96    ,   radCu   =  1.43 , absCu   = 134.9/dCu  ;
  Float_t        aW =183.84 ,   zW    = 74 ,  dW    = 19.30    ,   radW    =  0.35 , absW    = 185.0/dW   ;
  Float_t       aAl = 26.98 ,   zAl   = 13 ,  dAl   =  2.70    ,   radAl   =  8.90 , absAl   = 106.4/dAl  ;
  Float_t       aAr = 39.94 ,   zAr   = 18 ,  dAr   =  1.396e-3,   radAr   =  14.0 , absAr   = 117.2/dAr  ;   

    Int_t   matId=0;                           //tmp material id number
    Int_t   unsens =  0, sens=1;               //sensitive or unsensitive medium
    Int_t   itgfld = ((AliMagF*)TGeoGlobalMagField::Instance()->GetField())->Integ(); //type of field intergration 0 no field -1 user in guswim 1 Runge Kutta 2 helix 3 const field along z
    Float_t maxfld = ((AliMagF*)TGeoGlobalMagField::Instance()->GetField())->Max();   //max field value
    Float_t tmaxfd = -10.0;                    //max deflection angle due to magnetic field in one step
    Float_t deemax = - 0.2;                    //max fractional energy loss in one step   
    Float_t stemax = - 0.1;                    //max step allowed [cm]
    Float_t epsil  =   0.001;                  //abs tracking precision [cm]   
    Float_t stmin  = - 0.001;                  //min step size [cm] in continius process transport, negative value: choose it automatically

    // PCB copmposed mainly by G10 (Si,C,H,O) -> CsI is negligible (<500nm thick)
    // So what is called CsI has the optical properties of CsI, but the composition of G-10 (for delta elec, etc production...)
    
    Float_t aG10[4] = {28.09,12.01,1.01,16.00};
    Float_t zG10[4] = {14.,  6.,  1.,  8.};
    Float_t wG10[4] = {0.129060,0.515016,0.061873,0.294050};
    Float_t dG10    = 1.7;
    Int_t   nG10    = 4;
    
    AliMixture(++matId,"Air"  ,aAir  ,zAir  ,dAir  ,nAir  ,wAir  ); AliMedium(kAir  ,"Air"  ,matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
    AliMixture(++matId,"C6F14",aC6F14,zC6F14,dC6F14,nC6F14,wC6F14); AliMedium(kC6F14,"C6F14",matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);      
    AliMixture(++matId,"SiO2" ,aSiO2 ,zSiO2 ,dSiO2 ,nSiO2 ,wSiO2 ); AliMedium(kSiO2 ,"SiO2" ,matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);    
    AliMixture(++matId,"CH4"  ,aCH4  ,zCH4  ,dCH4  ,nCH4  ,wCH4  ); AliMedium(kCH4  ,"CH4"  ,matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);  
//    AliMixture(++matId,"CsI"  ,aCsI  ,zCsI  ,dCsI  ,nCsI  ,wCsI  ); AliMedium(kCsI  ,"CsI"  ,matId,   sens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);//sensitive
    AliMixture(++matId,"CsI+PCB",aG10  , zG10, dG10,nG10   ,wG10   ); AliMedium(kCsI  ,"CsI"  ,matId,   sens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);//sensitive

    AliMixture(++matId ,"Neo" ,aSiO2 ,zSiO2 ,dSiO2 ,nSiO2 ,wSiO2 ); AliMedium(kNeo  ,"Neo"  ,matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin); //clm neoceram
    AliMaterial(++matId,"Roha",aRoha,zRoha,dRoha,radRoha,absRoha);  AliMedium(kRoha ,"Roha" ,matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin); //Roha->honeycomb


    AliMaterial(++matId,"Cu"  ,aCu  ,zCu  ,dCu  ,radCu  ,absCu  );  AliMedium(kCu  ,"Cu"  , matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
    AliMaterial(++matId,"W"   ,aW   ,zW   ,dW   ,radW   ,absW   );  AliMedium(kW   ,"W"   , matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
    AliMaterial(++matId,"Al"  ,aAl  ,zAl  ,dAl  ,radAl  ,absAl  );  AliMedium(kAl  ,"Al"  , matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);
    AliMaterial(++matId,"Ar"  ,aAr  ,zAr  ,dAr  ,radAr  ,absAr  );  AliMedium(kAr  ,"Ar"  , matId, unsens, itgfld, maxfld, tmaxfd, stemax, deemax, epsil, stmin);

    //InitProperties();
        
}//void AliHMPID::CreateMaterials()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
//void AliHMPIDv2::InitProperties()
//{
/*
* HMPID
* ====
*
*       GAM   ELEC  NHAD   CHAD  MUON  EBREM MUHAB  EDEL  MUDEL MUPA ANNI BREM COMP DCAY DRAY HADR LOSS MULS PAIR PHOT RAYL
* Quarz Window        (>1000 keV delta-electrons)
HMPID  3  1.e-4 1.e-4 1.e-4  -1.   1.e-4 -1.   -1.    1.e-3 1.e-3 -1.  -1   -1   -1   -1   1    -1   1    -1   -1   -1   -1 
* Freon Radiator      (>  500 keV delta-electrons)
HMPID  4  1.e-4 1.e-4 1.e-4  -1.   1.e-4 -1.   -1.    5.e-4 5.e-4 -1.  -1   -1   -1   -1   1    -1   1    -1   -1   -1   -1 
* Methane Gap         (>  100 keV delta-electrons)
HMPID  5  5.e-5 1.e-5 1.e-4 -1.   1.e-4 -1.   -1.     1.e-4 1.e-4 -1.  -1   -1   -1   -1   1    -1   1    -1   -1   -1   -1 
* Sensitive Volume    (>  50 keV delta-electrons)
HMPID  9  1.e-5 1.e-5 1.e-4  -1.   1.e-4 -1.   -1.    5.e-5 5.e-5 -1.  -1   -1   -1   -1   1    -1   1    -1   -1   -1   -1 
* CSI    (>  50 keV delta-electrons)
HMPID  6  1.e-5 1.e-5 1.e-4  -1.   1.e-4 -1.   -1.    5.e-5 5.e-5 -1.  -1   -1   -1   -1   1    -1   1    -1   -1   -1   -1 
* PCB backplane   (>  50 keV delta-electrons)
HMPID 12  1.e-5 1.e-5 1.e-4  -1.   1.e-4 -1.   -1.    5.e-5 5.e-5 -1.  -1   -1   -1   -1   1    -1   1    -1   -1   -1   -1 

    Int_t *idtmed = fIdtmed->GetArray();
    Int_t imed;
    
    imed = kSiO2;   // * Quarz Window        (>1000 keV delta-electrons)
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTGAM",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTELE",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTNEU",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTMUO",1.e-4);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DCUTE" ,1.e-3);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTHAD",1.e-3);    
    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DRAY",1);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "LOSS",1);    

    imed = kC6F14;  // * Freon Radiator      (>  500 keV delta-electrons)
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTGAM",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTELE",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTNEU",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTMUO",1.e-4);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DCUTE" ,5.e-4);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTHAD",5.e-4);    
    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DRAY",1);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "LOSS",1);    
    
    imed = kCH4;  // * Methane Gap         (>  100 keV delta-electrons)
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTGAM",5.e-5);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTELE",5.e-5);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTNEU",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTMUO",1.e-4);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DCUTE" ,1.e-4);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTHAD",1.e-4);    
    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DRAY",1);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "LOSS",1);    
    
    imed = kCsI;  // * CSI    (>  50 keV delta-electrons)
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTGAM",1.e-5);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTELE",1.e-5);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTNEU",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTMUO",1.e-4);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DCUTE" ,5.e-5);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTHAD",5.e-5);    
    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DRAY",1);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "LOSS",1);
    
    imed = kAl;  // * Alluminium    (>  50 keV delta-electrons)
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTGAM",1.e-5);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTELE",1.e-5);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTNEU",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTMUO",1.e-4);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DCUTE" ,5.e-5);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTHAD",5.e-5);    
    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DRAY",1);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "LOSS",1);    
    
    imed = kCu;  // * Copper       (>  50 keV delta-electrons)
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTGAM",1.e-5);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTELE",1.e-5);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTNEU",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTMUO",1.e-4);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DCUTE" ,5.e-5);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTHAD",5.e-5);    
    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DRAY",1);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "LOSS",1);    
    
    imed = kW;  // * Tungsten     (>  50 keV delta-electrons)
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTGAM",1.e-5);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTELE",1.e-5);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTNEU",1.e-4);
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTMUO",1.e-4);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DCUTE" ,5.e-5);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "CUTHAD",5.e-5);    
    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "DRAY",1);    
    TVirtualMC::GetMC()->Gstpar(idtmed[imed], "LOSS",1);    
    
}*/
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::CreateGeometry()
{
//Creates detailed geometry simulation (currently GEANT volumes tree)         
  AliDebug(1,"Start main.");
  if(!TVirtualMC::GetMC()->IsRootGeometrySupported()) return;                
 
 Double_t cm=1,mm=0.1*cm,um=0.001*mm;//default is cm
 
  TGeoMedium *al   =gGeoManager->GetMedium("HMPID_Al");    
  TGeoMedium *ch4  =gGeoManager->GetMedium("HMPID_CH4");    
  TGeoMedium *roha =gGeoManager->GetMedium("HMPID_Roha");   
  TGeoMedium *neoc =gGeoManager->GetMedium("HMPID_Neo");
  TGeoMedium *c6f14=gGeoManager->GetMedium("HMPID_C6F14");  
  TGeoMedium *sio2 =gGeoManager->GetMedium("HMPID_SiO2");   
  TGeoMedium *cu   =gGeoManager->GetMedium("HMPID_Cu");     
  TGeoMedium *w    =gGeoManager->GetMedium("HMPID_W");      
  TGeoMedium *csi  =gGeoManager->GetMedium("HMPID_CsI");    
  TGeoMedium *ar   =gGeoManager->GetMedium("HMPID_Ar");     

  TGeoVolume *hmp=gGeoManager->MakeBox ("Hmp",ch4,1681*mm/2, 1466*mm/2,(2*80*mm+2*60*mm)/2);//2033P1  z from p84 TDR  

  TString title=GetTitle();
  if(title.Contains("TestBeam")){
    gGeoManager->GetVolume("ALIC")->AddNode(hmp,0);
  }else{
    for(Int_t iCh=AliHMPIDParam::kMinCh;iCh<=AliHMPIDParam::kMaxCh;iCh++){//place 7 chambers
      TGeoHMatrix *pMatrix=new TGeoHMatrix;
      IdealPosition(iCh,pMatrix);
      gGeoManager->GetVolume("ALIC")->AddNode(hmp,iCh,pMatrix);
    }
  }

  TGeoRotation *rot=new TGeoRotation("HwireRot"); rot->RotateY(90); //rotate wires around Y to be along X (initially along Z)
  TGeoVolume *sbo=gGeoManager->MakeBox ("Hsbo",ch4  , 1419*mm/2 , 1378.00*mm/2 ,   50.5*mm/2);//2072P1
  TGeoVolume *cov=gGeoManager->MakeBox ("Hcov",al   , 1419*mm/2 , 1378.00*mm/2 ,    0.5*mm/2);  
  TGeoVolume *hon=gGeoManager->MakeBox ("Hhon",roha , 1359*mm/2 , 1318.00*mm/2 ,   49.5*mm/2);  
  TGeoVolume *rad=gGeoManager->MakeBox ("Hrad",c6f14, 1330*mm/2 ,  413.00*mm/2 ,   24.0*mm/2); //2011P1
  TGeoVolume *neo=gGeoManager->MakeBox ("Hneo",neoc , 1330*mm/2 ,  413.00*mm/2 ,    4.0*mm/2); 
  TGeoVolume *win=gGeoManager->MakeBox ("Hwin",sio2 , 1330*mm/2 ,  413.00*mm/2 ,    5.0*mm/2); 
  TGeoVolume *si1=gGeoManager->MakeBox ("Hsi1",sio2 , 1330*mm/2 ,    5.00*mm/2 ,   15.0*mm/2);    
  TGeoVolume *si2=gGeoManager->MakeBox ("Hsi2",neoc ,   10*mm/2 ,  403.00*mm/2 ,   15.0*mm/2);    
  TGeoVolume *spa=gGeoManager->MakeTube("Hspa",sio2 ,    0*mm   ,    5.00*mm   ,   15.0*mm/2);         
  TGeoVolume *fr4=gGeoManager->MakeBox ("Hfr4",ch4  , 1407*mm/2 , 1366.00*mm/2 ,   15.0*mm/2);//2043P1 
  TGeoVolume *f4a=gGeoManager->MakeBox ("Hf4a",al   , 1407*mm/2 , 1366.00*mm/2 ,   10.0*mm/2); 
  TGeoVolume *f4i=gGeoManager->MakeBox ("Hf4i",ch4  , 1323*mm/2 , 1296.00*mm/2 ,   10.0*mm/2); 
  TGeoVolume *col=gGeoManager->MakeTube("Hcol",cu   ,    0*mm   ,  100.00*um   , 1323.0*mm/2);
  TGeoVolume *sec=gGeoManager->MakeBox ("Hsec",ch4  ,  648*mm/2 ,  411.00*mm/2 ,   6.2*mm/2);//sec=gap
 
  Double_t cellx=8.04*mm,celly=8.4*mm;	Int_t nPadX=80, nPadY=48; 
  TGeoVolume *gap=gGeoManager->MakeBox ("Hgap",ch4  ,  cellx*nPadX/2 ,  celly*nPadY/2 ,    6.2*mm/2); //x=8.04*80 y=8.4*48 z=pad+pad-ano+marign 2006p1  
  TGeoVolume *row=        gap->Divide  ("Hrow",2,nPadY,0,0);//along Y->48 rows
  TGeoVolume *cel=        row->Divide  ("Hcel",1,nPadX,0,0);//along X->80 cells
  TGeoVolume *cat=gGeoManager->MakeTube("Hcat",cu   ,    0.00*mm   ,   50.00*um   ,    cellx/2); 
  TGeoVolume *ano=gGeoManager->MakeTube("Hano",w    ,    0.00*mm   ,   20.00*um   ,    cellx/2); 
  TGeoVolume *pad=gGeoManager->MakeBox ("Hpad",csi  ,    7.54*mm/2 ,    7.90*mm/2 ,    1.7*mm/2); //2006P1 PCB material...     
  TGeoVolume *fr1=gGeoManager->MakeBox ("Hfr1",al   , 1463*mm/2 , 1422.00*mm/2 ,   58.3*mm/2);//2040P1
  TGeoVolume *fr1up=gGeoManager->MakeBox ("Hfr1up",ch4,(1426.00-37.00)*mm/2 , (1385.00-37.00)*mm/2 ,    20.0*mm/2);//2040P1
  TGeoVolume *fr1perUpBig=gGeoManager->MakeBox ("Hfr1perUpBig",ch4,1389*mm/2,35*mm/2,10*mm/2);    
  TGeoVolume *fr1perUpSma=gGeoManager->MakeBox ("Hfr1perUpSma",ch4,35*mm/2,(1385-37-2*35)*mm/2,10*mm/2);
	TGeoVolume *fr1perDowBig=gGeoManager->MakeBox ("Hfr1perDowBig",ch4,1389*mm/2,46*mm/2,2.3*mm/2);    
  TGeoVolume *fr1perDowSma=gGeoManager->MakeBox ("Hfr1perDowSma",ch4,46*mm/2,(1385-37-2*46)*mm/2,2.3*mm/2);
	
	TGeoVolume *ppf=gGeoManager->MakeBox ("Hppf",al   ,  648*mm/2 ,  411.00*mm/2 ,   38.3*mm/2);//2001P2
  TGeoVolume *lar=gGeoManager->MakeBox ("Hlar",ar   ,  181*mm/2 ,   89.25*mm/2 ,   38.3*mm/2);//2001P2
  TGeoVolume *smo=gGeoManager->MakeBox ("Hsmo",ar   ,  114*mm/2 ,   89.25*mm/2 ,   38.3*mm/2);//2001P2
		

		
        TGeoVolume *fr3=   gGeoManager->MakeBox("Hfr3",          al,  1463*mm/2,  1422*mm/2,  34*mm/2);//2041P1
   TGeoVolume *fr3up=    gGeoManager->MakeBox("Hfr3up",     ch4, 1323*mm/2,  1282*mm/2,  20*mm/2);//2041P1
   TGeoVolume *fr3down=gGeoManager->MakeBox("Hfr3down", ch4, 1437*mm/2,  1370*mm/2,  14*mm/2);//2041P1



// ^ Y   z=         z=-12mm      z=98.25mm               ALIC->7xHmp (virtual)-->1xHsbo (virtual) --->2xHcov (real) 2072P1
// |  ____________________________________                                    |                   |-->1xHhon (real) 2072P1
// | |   ______     ____          ______  |                                   |
//   |  |      |   |    |   *    |      | |                                   |->3xHrad (virtual) --->1xHneo (real) 2011P1
//   |  |50.5mm|   |24mm|   *    |45.5mm| |                                   |                   |-->1xHwin (real) 2011P1
//   |  |      |   |    |   *    |      | |                                   |                   |-->2xHsi1 (real) 2011P1
//   |  |      |   |____|   *    |______| |                                   |                   |-->2xHsi2 (real) 2011P1
//   |  |      |    ____    *     ______  |                                   |                   |->30xHspa (real) 2011P1
//   |  |      |   |    |   *    |      | |                                   |
//   |  |      |   |    |   *    |      | |                                   |->1xHfr4 (vitual) --->1xHf4a (real)---->1xHf4i(virtual) 2043P1 
//   |  |  sb  |   | rad|   *    |      | |                                   |                  |-->322xHcol (real) 2043P1
//   |  |      |   |____|   *    |______| |                                   |
//   |  |      |    ____    *     ______  |                                   |->1xHfr1 (real) --> 6xHppf(real) ---->8xHlar (virtual) 2001P1
//   |  |      |   |    |   *    |      | |                                   |                                     |--->8xHsmo (virtual) 2001P1     
//   |  |      |   |    |   *    |      | |                                   |               
//   |  |      |   |    |   *    |      | |                                   |-> 6xHgap (virtual) --->48xHrow (virtual) -->80xHcel (virtual) -->4xHcat (real) from p84 TDR 
//   |  |______|   |____|   *    |______| |                                                                                                  |-->2xHano (real) from p84 TDR                                  
//   |____________________________________|                                                                                                  |-->1xHpad (real) from p84 TDR 
//                                                       --->Z 
  hmp->AddNode(sbo ,1,new TGeoTranslation(   0*mm,   0*mm, -73.75*mm));                     //p.84 TDR
     sbo->AddNode(hon ,1,new TGeoTranslation(  0*mm,0*mm,      0*mm)); //2072P1
     sbo->AddNode(cov ,1,new TGeoTranslation(  0*mm,0*mm,    +25*mm)); 
     sbo->AddNode(cov ,2,new TGeoTranslation(  0*mm,0*mm,    -25*mm)); 
  hmp->AddNode(rad,2,new TGeoTranslation(   0*mm,+434*mm, -12.00*mm)); 
  hmp->AddNode(rad,1,new TGeoTranslation(   0*mm,   0*mm, -12.00*mm)); 
  hmp->AddNode(rad,0,new TGeoTranslation(   0*mm,-434*mm, -12.00*mm)); 
    rad->AddNode(neo,1,new TGeoTranslation(   0*mm,   0*mm, -10.0*mm));
    rad->AddNode(win,1,new TGeoTranslation(   0*mm,   0*mm,   9.5*mm));
    rad->AddNode(si1,1,new TGeoTranslation(   0*mm,-204*mm,  -0.5*mm)); rad->AddNode(si1,2,new TGeoTranslation(   0*mm,+204*mm,  -0.5*mm));
    rad->AddNode(si2,1,new TGeoTranslation(-660*mm,   0*mm,  -0.5*mm)); rad->AddNode(si2,2,new TGeoTranslation(+660*mm,   0*mm,  -0.5*mm));
    for(Int_t i=0;i<3;i++) for(Int_t j=0;j<10;j++) rad->AddNode(spa,10*i+j,new TGeoTranslation(-1330*mm/2+116*mm+j*122*mm,(i-1)*105*mm,-0.5*mm));
  hmp->AddNode(fr4,1,new TGeoTranslation(   0*mm,   0*mm,   9.00*mm));                     //p.84 TDR
  for(int i=1;i<=322;i++)  fr4->AddNode(col,i,new TGeoCombiTrans( 0*mm, -1296/2*mm+i*4*mm,-5*mm,rot)); //F4 2043P1
                           fr4->AddNode(f4a,1,new TGeoTranslation(   0*mm,0*mm, 2.5*mm));    
                                        f4a->AddNode(f4i,1,new TGeoTranslation(   0*mm,0*mm,   0*mm));
  hmp->AddNode(sec,4,new TGeoTranslation(-335*mm,+433*mm,  78.6*mm)); hmp->AddNode(sec,5,new TGeoTranslation(+335*mm,+433*mm,  78.6*mm));
  hmp->AddNode(sec,2,new TGeoTranslation(-335*mm,   0*mm,  78.6*mm)); hmp->AddNode(sec,3,new TGeoTranslation(+335*mm,   0*mm,  78.6*mm));
  hmp->AddNode(sec,0,new TGeoTranslation(-335*mm,-433*mm,  78.6*mm)); hmp->AddNode(sec,1,new TGeoTranslation(+335*mm,-433*mm,  78.6*mm));
    sec->AddNode(gap,1,new TGeoTranslation(0,0,0.*mm));
      cel->AddNode(cat,1,new TGeoCombiTrans (0,  3.15*mm , -2.70*mm , rot)); //4 cathode wires
      cel->AddNode(ano,1,new TGeoCombiTrans (0,  2.00*mm , -0.29*mm , rot)); //2 anod wires
      cel->AddNode(cat,2,new TGeoCombiTrans (0,  1.05*mm , -2.70*mm , rot)); 
      cel->AddNode(cat,3,new TGeoCombiTrans (0, -1.05*mm , -2.70*mm , rot)); 
      cel->AddNode(ano,2,new TGeoCombiTrans (0, -2.00*mm , -0.29*mm , rot)); 
      cel->AddNode(cat,4,new TGeoCombiTrans (0, -3.15*mm , -2.70*mm , rot));   
      cel->AddNode(pad,1,new TGeoTranslation(0,  0.00*mm ,  2.25*mm));       //1 pad  
	    
  hmp->AddNode(fr1,1,new TGeoTranslation(0.,0.,(80.+1.7)*mm+58.3*mm/2.));
		fr1->AddNode(fr1up,1,new TGeoTranslation(0.,0.,(58.3*mm-20.00*mm)/2.));
		
		fr1->AddNode(fr1perUpBig,0,new TGeoTranslation(0.,(1385-37-35)*mm/2.,(58.3*mm-20.00*2*mm-10.0*mm)/2.));
		fr1->AddNode(fr1perUpSma,0,new TGeoTranslation((1426-37-35)*mm/2.,0.,(58.3*mm-20.00*2*mm-10.0*mm)/2.));
		fr1->AddNode(fr1perUpBig,1,new TGeoTranslation(0.,-(1385-37-35)*mm/2.,(58.3*mm-20.00*2*mm-10.0*mm)/2.));
		fr1->AddNode(fr1perUpSma,1,new TGeoTranslation(-(1426-37-35)*mm/2.,0.,(58.3*mm-20.00*2*mm-10.0*mm)/2.));
		
	  fr1->AddNode(fr1perDowBig,0,new TGeoTranslation(0.,(1385-37-46)*mm/2.,(-58.3*mm+2.3*mm)/2.));
		fr1->AddNode(fr1perDowSma,0,new TGeoTranslation((1426-37-46)*mm/2.,0.,(-58.3*mm+2.3*mm)/2.));
	  fr1->AddNode(fr1perDowBig,1,new TGeoTranslation(0.,-(1385-37-46)*mm/2.,(-58.3*mm+2.3*mm)/2.));
		fr1->AddNode(fr1perDowSma,1,new TGeoTranslation(-(1426-37-46)*mm/2.,0.,(-58.3*mm+2.3*mm)/2.));
		
			
	  fr1->AddNode(ppf,4,new TGeoTranslation(-335*mm,433*mm,(-58.3+38.3)*mm/2.));  fr1->AddNode(ppf,5,new TGeoTranslation(335*mm,433*mm,(-58.3+38.3)*mm/2.));	
	  fr1->AddNode(ppf,2,new TGeoTranslation(-335*mm,0.,(-58.3+38.3)*mm/2.));      fr1->AddNode(ppf,3,new TGeoTranslation(335*mm,0.,(-58.3+38.3)*mm/2.));
	  fr1->AddNode(ppf,0,new TGeoTranslation(-335*mm,-433*mm,(-58.3+38.3)*mm/2.)); fr1->AddNode(ppf,1,new TGeoTranslation(335*mm,-433*mm,(-58.3+38.3)*mm/2.));
		
		
		
		
		
		
// ^ Y  single cell                                                5.5mm CH4 = 1*mm CsI + 4.45*mm CsI x cath +0.05*mm safety margin         
// |      ______________________________           
// |     |                              |          ^                            ||     
//       |                              | 1.05mm                                ||     
// 2.2*mm| xxxxxxxxxxxxxxxxxxxxxxxxxxxx |--              50um  x                || cat shift  x=0mm , y= 3.15mm , z=-2.70mm       
//       |                              |                                       ||     
//       |                              |                                       ||     
// __    |  ..........................  | 2.1mm                    20un .       ||  ano shift x=0mm , y= 2.00mm , z=-0.29mm   
//       |                              |                                       ||     
//       |                              |                                       ||     
//       | xxxxxxxxxxxxxxxxxxxxxxxxxxxx |--                    x                ||  cat shift x=0mm , y= 1.05mm , z=-2.70mm   
//       |                              |                                       ||     
//       |                              |         8.4mm                         ||   
// 4*mm  |                              | 2.1mm                                 ||  pad shift x=0mm , y= 0.00mm , z=2.25*mm   
//       |                              |                                       ||  
//       |                              |                                       ||  
//       | xxxxxxxxxxxxxxxxxxxxxxxxxxxx |--                    x                ||  cat shift x=0mm , y=-1.05mm , z=-2.70mm   
//       |                              |                                       ||  
//       |                              |                                       ||    
// __    |  ..........................  | 2.1mm                         . 2.04mm||  ano shift x=0mm , y=-2.00mm , z=-0.29mm   
//       |                              |                                       ||  
//       |                              |                                       ||  
//       | xxxxxxxxxxxxxxxxxxxxxxxxxxxx |--                    x    4.45mm      ||  cat shift x=0mm , y=-3.15mm , z=-2.70mm   
// 2.2*mm|                              |                                       ||  
//       |                              | 1.05mm                                ||         
//       |______________________________|          v                            ||    
//       <             8 mm             >                          
//                                   ----->X                                 ----->Z
  ppf->AddNode(lar,0,new TGeoTranslation(-224.5*mm,-151.875*mm,  0.*mm));
  ppf->AddNode(lar,1,new TGeoTranslation(-224.5*mm,- 50.625*mm,  0.*mm));
  ppf->AddNode(lar,2,new TGeoTranslation(-224.5*mm,+ 50.625*mm,  0.*mm));
  ppf->AddNode(lar,3,new TGeoTranslation(-224.5*mm,+151.875*mm,  0.*mm));
  ppf->AddNode(lar,4,new TGeoTranslation(+224.5*mm,-151.875*mm,  0.*mm));
  ppf->AddNode(lar,5,new TGeoTranslation(+224.5*mm,- 50.625*mm,  0.*mm));
  ppf->AddNode(lar,6,new TGeoTranslation(+224.5*mm,+ 50.625*mm,  0.*mm));
  ppf->AddNode(lar,7,new TGeoTranslation(+224.5*mm,+151.875*mm,  0.*mm));
  ppf->AddNode(smo,0,new TGeoTranslation(- 65.0*mm,-151.875*mm,  0.*mm));
  ppf->AddNode(smo,1,new TGeoTranslation(- 65.0*mm,- 50.625*mm,  0.*mm));
  ppf->AddNode(smo,2,new TGeoTranslation(- 65.0*mm,+ 50.625*mm,  0.*mm));
  ppf->AddNode(smo,3,new TGeoTranslation(- 65.0*mm,+151.875*mm,  0.*mm));
  ppf->AddNode(smo,4,new TGeoTranslation(+ 65.0*mm,-151.875*mm,  0.*mm));
  ppf->AddNode(smo,5,new TGeoTranslation(+ 65.0*mm,- 50.625*mm,  0.*mm));
  ppf->AddNode(smo,6,new TGeoTranslation(+ 65.0*mm,+ 50.625*mm,  0.*mm));
  ppf->AddNode(smo,7,new TGeoTranslation(+ 65.0*mm,+151.875*mm,  0.*mm)); 

hmp->AddNode(fr3,1,new TGeoTranslation(0.,0.,(80.-29.)*mm-34.*mm/2));
         fr3->AddNode( fr3up,1,    new TGeoTranslation(0.,  0.,  7*mm));
	 fr3->AddNode(fr3down,1,new TGeoTranslation(0.,  0., -10*mm));	

  AliDebug(1,"Stop v2. HMPID option");  
}//CreateGeometry()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::Init()
{
// This method defines ID for sensitive volumes, i.e. such geometry volumes for which there are if(TVirtualMC::GetMC()->CurrentVolID()==XXX) 
// statements in StepManager()
// Arguments: none
//   Returns: none      
  AliDebug(1,"Start v2 HMPID.");    
  fIdPad     = TVirtualMC::GetMC()->VolId("Hpad");
  fIdCell    = TVirtualMC::GetMC()->VolId("Hcel");
  AliDebug(1,"Stop v2 HMPID.");    
}
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::DefineOpticalProperties()
{
// Optical properties definition.
  const Int_t kNbins=30;       //number of photon energy points
  Float_t emin=5.5,emax=8.5;         //Photon energy range,[eV]
  Float_t aEckov [kNbins]; 
  Double_t dEckov [kNbins]; 
  Float_t aAbsRad[kNbins], aAbsWin[kNbins], aAbsGap[kNbins], aAbsMet[kNbins];
  Float_t aIdxRad[kNbins], aIdxWin[kNbins], aIdxGap[kNbins], aIdxMet[kNbins], aIdxPc[kNbins]; 
  Float_t                                                    aQeAll [kNbins], aQePc [kNbins];
  Double_t dReflMet[kNbins], dQePc[kNbins];

  TF2 *pRaIF=new TF2("HidxRad","sqrt(1+0.554*(1239.84/x)^2/((1239.84/x)^2-5769)-0.0005*(y-20))"                                       ,emin,emax,0,50); //DiMauro mail temp 0-50 degrees C
  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
  TF1 *pGaIF=new TF1("HidxGap","1+0.12489e-6/(2.62e-4 - x*x/1239.84/1239.84)"                                                         ,emin,emax);      //?????? from where  

  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 
  pRaAF->SetParameters(3.20491e16,-0.00917890,0.742402,3035.37,4.81171,0.626309);
  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 
  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  
  
  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  
                   
  TString title=GetTitle();
  Bool_t isFlatIdx=title.Contains("FlatIdx"); 
  
  for(Int_t i=0;i<kNbins;i++){
    Float_t eV=emin+0.1*i;  //Ckov energy in eV
    aEckov [i] =1e-9*eV;    //Ckov energy in GeV
    dEckov [i] = aEckov[i];
    aAbsRad[i]=pRaAF->Eval(eV); (isFlatIdx)? aIdxRad[i]=1.292: aIdxRad[i]=pRaIF->Eval(eV,20);     
    aAbsWin[i]=pWiAF->Eval(eV);              aIdxWin[i]=pWiIF->Eval(eV);
    aAbsGap[i]=pGaAF->Eval(eV);              aIdxGap[i]=pGaIF->Eval(eV);   
    aQeAll[i] =1;                     //QE for all other materials except for PC must be 1.  
    aAbsMet[i] =0.0001;                aIdxMet[i]=0;                                             //metal ref idx must be 0 in order to reflect photon
                                       aIdxPc [i]=1;           aQePc [i]=pQeF->Eval(eV);         //PC ref idx must be 1 in order to apply photon to QE conversion 
    dQePc [i]=pQeF->Eval(eV);
    dReflMet[i] = 0.;     // no reflection on the surface of the pc (?)                                       
  }
  TVirtualMC::GetMC()->SetCerenkov((*fIdtmed)[kC6F14]    , kNbins, aEckov, aAbsRad  , aQeAll , aIdxRad );    
  TVirtualMC::GetMC()->SetCerenkov((*fIdtmed)[kSiO2]     , kNbins, aEckov, aAbsWin  , aQeAll , aIdxWin );    
  TVirtualMC::GetMC()->SetCerenkov((*fIdtmed)[kCH4]      , kNbins, aEckov, aAbsGap  , aQeAll , aIdxGap );    
  TVirtualMC::GetMC()->SetCerenkov((*fIdtmed)[kCu]       , kNbins, aEckov, aAbsMet  , aQeAll , aIdxMet );    
  TVirtualMC::GetMC()->SetCerenkov((*fIdtmed)[kW]        , kNbins, aEckov, aAbsMet  , aQeAll , aIdxMet ); //n=0 means reflect photons       
  TVirtualMC::GetMC()->SetCerenkov((*fIdtmed)[kCsI]      , kNbins, aEckov, aAbsMet  , aQePc  , aIdxPc  ); //n=1 means convert photons    
  TVirtualMC::GetMC()->SetCerenkov((*fIdtmed)[kAl]       , kNbins, aEckov, aAbsMet  , aQeAll , aIdxMet );    

  // Define a skin surface for the photocatode to enable 'detection' in G4
  TVirtualMC::GetMC()->DefineOpSurface("surfPc", kGlisur /*kUnified*/,kDielectric_metal,kPolished, 0.);
  TVirtualMC::GetMC()->SetMaterialProperty("surfPc", "EFFICIENCY", kNbins, dEckov, dQePc);
  TVirtualMC::GetMC()->SetMaterialProperty("surfPc", "REFLECTIVITY", kNbins, dEckov, dReflMet);
  TVirtualMC::GetMC()->SetSkinSurface("skinPc", "Rpc", "surfPc");

  delete pRaAF;delete pWiAF;delete pGaAF; delete pRaIF; delete pWiIF; delete pGaIF; delete pQeF;
}
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Bool_t AliHMPIDv2::IsLostByFresnel()
{
// Calculate probability for the photon to be lost by Fresnel reflection.
  TLorentzVector p4;
  Double_t mom[3],localMom[3];
  TVirtualMC::GetMC()->TrackMomentum(p4);   mom[0]=p4(1);   mom[1]=p4(2);   mom[2]=p4(3);
  localMom[0]=0; localMom[1]=0; localMom[2]=0;
  TVirtualMC::GetMC()->Gmtod(mom,localMom,2);
  Double_t localTc    = localMom[0]*localMom[0]+localMom[2]*localMom[2];
  Double_t localTheta = TMath::ATan2(TMath::Sqrt(localTc),localMom[1]);
  Double_t cotheta = TMath::Abs(TMath::Cos(localTheta));
  if(TVirtualMC::GetMC()->GetRandom()->Rndm() < Fresnel(p4.E()*1e9,cotheta,1)){
    AliDebug(1,"Photon lost");
    return kTRUE;
  }else
    return kFALSE;
}//IsLostByFresnel()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::GenFee(Float_t qtot)
{
// Generate FeedBack photons for the current particle. To be invoked from StepManager().
// eloss=0 means photon so only pulse height distribution is to be analysed.
  TLorentzVector x4;
  TVirtualMC::GetMC()->TrackPosition(x4); 
  Int_t iNphotons=TVirtualMC::GetMC()->GetRandom()->Poisson(0.02*qtot);  //# of feedback photons is proportional to the charge of hit
  AliDebug(1,Form("N photons=%i",iNphotons));
  Int_t j;
  Float_t cthf, phif, enfp = 0, sthf, e1[3], e2[3], e3[3], vmod, uswop,dir[3], phi,pol[3], mom[4];
//Generate photons
  for(Int_t i=0;i<iNphotons;i++){//feedbacks loop
    Double_t ranf[2];
    TVirtualMC::GetMC()->GetRandom()->RndmArray(2,ranf);    //Sample direction
    cthf=ranf[0]*2-1.0;
    if(cthf<0) continue;
    sthf = TMath::Sqrt((1. - cthf) * (1. + cthf));
    phif = ranf[1] * 2 * TMath::Pi();
    
    if(Double_t randomNumber=TVirtualMC::GetMC()->GetRandom()->Rndm()<=0.57)
      enfp = 7.5e-9;
    else if(randomNumber<=0.7)
      enfp = 6.4e-9;
    else
      enfp = 7.9e-9;
    

    dir[0] = sthf * TMath::Sin(phif);    dir[1] = cthf;    dir[2] = sthf * TMath::Cos(phif);
    TVirtualMC::GetMC()->Gdtom(dir, mom, 2);
    mom[0]*=enfp;    mom[1]*=enfp;    mom[2]*=enfp;
    mom[3] = TMath::Sqrt(mom[0]*mom[0]+mom[1]*mom[1]+mom[2]*mom[2]);
    
    // Polarisation
    e1[0]=      0;    e1[1]=-dir[2];    e1[2]= dir[1];
    e2[0]=-dir[1];    e2[1]= dir[0];    e2[2]=      0;
    e3[0]= dir[1];    e3[1]=      0;    e3[2]=-dir[0];
    
    vmod=0;
    for(j=0;j<3;j++) vmod+=e1[j]*e1[j];
    if (!vmod) for(j=0;j<3;j++) {
      uswop=e1[j];
      e1[j]=e3[j];
      e3[j]=uswop;
    }
    vmod=0;
    for(j=0;j<3;j++) vmod+=e2[j]*e2[j];
    if (!vmod) for(j=0;j<3;j++) {
      uswop=e2[j];
      e2[j]=e3[j];
      e3[j]=uswop;
    }
    
    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;    
    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;
    
    phi = TVirtualMC::GetMC()->GetRandom()->Rndm()* 2 * TMath::Pi();
    for(j=0;j<3;j++) pol[j]=e1[j]*TMath::Sin(phi)+e2[j]*TMath::Cos(phi);
    TVirtualMC::GetMC()->Gdtom(pol, pol, 2);
    Int_t outputNtracksStored;    
    gAlice->GetMCApp()->PushTrack(1,                             //transport
                     gAlice->GetMCApp()->GetCurrentTrackNumber(),//parent track 
                     50000051,                                   //PID
		     mom[0],mom[1],mom[2],mom[3],                //track momentum  
                     x4.X(),x4.Y(),x4.Z(),x4.T(),                //track origin 
                     pol[0],pol[1],pol[2],                       //polarization
		     kPFeedBackPhoton,                           //process ID   
                     outputNtracksStored,                        //on return how many new photons stored on stack
                     1.0);                                       //weight
  }//feedbacks loop
  AliDebug(1,"Stop.");
}//GenerateFeedbacks()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::Hits2SDigits()
{
// Interface method ivoked from AliSimulation to create a list of sdigits corresponding to list of hits. Every hit generates one or more sdigits.
// Arguments: none
//   Returns: none   
  AliDebug(1,"Start.");
  for(Int_t iEvt=0;iEvt < GetLoader()->GetRunLoader()->GetNumberOfEvents();iEvt++){                //events loop
    GetLoader()->GetRunLoader()->GetEvent(iEvt);                          //get next event
  
    if(!GetLoader()->TreeH()) {GetLoader()->LoadHits();                    }
    if(!GetLoader()->TreeS()) {GetLoader()->MakeTree("S"); MakeBranch("S");}//to
          
    for(Int_t iEnt=0;iEnt<GetLoader()->TreeH()->GetEntries();iEnt++){//prims loop
      GetLoader()->TreeH()->GetEntry(iEnt);
      Hit2Sdi(Hits(),SdiLst());
    }//prims loop
    GetLoader()->TreeS()->Fill();
    GetLoader()->WriteSDigits("OVERWRITE");
    SdiReset();
  }//events loop  
  GetLoader()->UnloadHits();
  GetLoader()->UnloadSDigits();  
  AliDebug(1,"Stop.");
}//Hits2SDigits()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::Hit2Sdi(TClonesArray *pHitLst,TClonesArray *pSdiLst)
{
// Converts list of hits to list of sdigits. 
// Arguments: pHitLst  - list of hits provided not empty
//            pSDigLst - list of sdigits where to store the results
//   Returns: none         
  for(Int_t iHit=0;iHit<pHitLst->GetEntries();iHit++){         //hits loop
    AliHMPIDHit *pHit=(AliHMPIDHit*)pHitLst->At(iHit);         //get pointer to current hit   
    pHit->Hit2Sdi(pSdiLst);                                    //convert this hit to list of sdigits     
  }//hits loop loop
}//Hits2Sdi()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::Digits2Raw()
{
// Interface method invoked by AliSimulation to create raw data streams from digits. Events loop is done in AliSimulation
// Arguments: none
//   Returns: none    
  AliDebug(1,"Start.");
  GetLoader()->LoadDigits();
  TTree * treeD = GetLoader()->TreeD();
  if(!treeD) {
    AliError("No digits tree!");
    return;
  }
  treeD->GetEntry(0);
  
  
  AliHMPIDRawStream *pRS=0x0;
  pRS->WriteRaw(DigLst());
   
  GetLoader()->UnloadDigits();
  AliDebug(1,"Stop.");      
}//Digits2Raw()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Float_t AliHMPIDv2::Fresnel(Float_t ene,Float_t pdoti, Bool_t pola)
{
// Correction for Fresnel   ???????????
// Arguments:   ene - photon energy [GeV],
//              PDOTI=COS(INC.ANG.), PDOTR=COS(POL.PLANE ROT.ANG.)
//   Returns:  
    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,
		      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,
		      7.8,7.9,8.0,8.1,8.2,8.3,8.4,8.5};
    Float_t csin[36] = {2.14,2.21,2.33,2.48,2.76,2.97,2.99,2.59,2.81,3.05,
			2.86,2.53,2.55,2.66,2.79,2.96,3.18,3.05,2.84,2.81,2.38,2.11,
			2.01,2.13,2.39,2.73,3.08,3.15,2.95,2.73,2.56,2.41,2.12,1.95,
			1.72,1.53};
    Float_t csik[36] = {0.,0.,0.,0.,0.,0.196,0.408,0.208,0.118,0.49,0.784,0.543,
	 		0.424,0.404,0.371,0.514,0.922,1.102,1.139,1.376,1.461,1.253,0.878,
			0.69,0.612,0.649,0.824,1.347,1.571,1.678,1.763,1.857,1.824,1.824,
			1.714,1.498};
    Float_t xe=ene;
    Int_t  j=Int_t(xe*10)-49;
    Float_t cn=csin[j]+((csin[j+1]-csin[j])/0.1)*(xe-en[j]);
    Float_t ck=csik[j]+((csik[j+1]-csik[j])/0.1)*(xe-en[j]);

    //FORMULAE FROM HANDBOOK OF OPTICS, 33.23 OR
    //W.R. HUNTER, J.O.S.A. 54 (1964),15 , J.O.S.A. 55(1965),1197

    Float_t sinin=TMath::Sqrt((1.-pdoti)*(1.+pdoti));
    Float_t tanin=sinin/pdoti;

    Float_t c1=cn*cn-ck*ck-sinin*sinin;
    Float_t c2=4*cn*cn*ck*ck;
    Float_t aO=TMath::Sqrt(0.5*(TMath::Sqrt(c1*c1+c2)+c1));
    Float_t b2=0.5*(TMath::Sqrt(c1*c1+c2)-c1);
    
    Float_t rs=((aO-pdoti)*(aO-pdoti)+b2)/((aO+pdoti)*(aO+pdoti)+b2);
    Float_t rp=rs*((aO-sinin*tanin)*(aO-sinin*tanin)+b2)/((aO+sinin*tanin)*(aO+sinin*tanin)+b2);
    

    //CORRECTION FACTOR FOR SURFACE ROUGHNESS
    //B.J. STAGG  APPLIED OPTICS, 30(1991),4113

    Float_t sigraf=18.;
    Float_t lamb=1240/ene;
    Float_t fresn;
 
    Float_t  rO=TMath::Exp(-(4*TMath::Pi()*pdoti*sigraf/lamb)*(4*TMath::Pi()*pdoti*sigraf/lamb));

    if(pola)
    {
	Float_t pdotr=0.8;                                 //DEGREE OF POLARIZATION : 1->P , -1->S
	fresn=0.5*(rp*(1+pdotr)+rs*(1-pdotr));
    }
    else
	fresn=0.5*(rp+rs);
      
    fresn = fresn*rO;
    return fresn;
}//Fresnel()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::Print(Option_t *option)const
{
// Debug printout
  TObject::Print(option);
}//void AliHMPID::Print(Option_t *option)const
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Bool_t AliHMPIDv2::Raw2SDigits(AliRawReader *pRR)
{
// Interface methode ivoked from AliSimulation to create a list of sdigits from raw digits. Events loop is done in AliSimulation
// Arguments: pRR- raw reader 
//   Returns: kTRUE on success (currently ignored in AliSimulation::ConvertRaw2SDigits())      
  //AliHMPIDDigit sdi; //tmp sdigit, raw digit will be converted to it
  
  if(!GetLoader()->TreeS()) {MakeTree("S");  MakeBranch("S");}
    
  TClonesArray *pSdiLst=SdiLst(); Int_t iSdiCnt=0; //tmp list of sdigits for all chambers
  AliHMPIDRawStream stream(pRR);
  while(stream.Next())
  {
    for(Int_t iPad=0;iPad<stream.GetNPads();iPad++) {
      AliHMPIDDigit sdi(stream.GetPadArray()[iPad],stream.GetChargeArray()[iPad]);
      new((*pSdiLst)[iSdiCnt++]) AliHMPIDDigit(sdi); //add this digit to the tmp list
    }
  }
  
  GetLoader()->TreeS()->Fill(); GetLoader()->WriteSDigits("OVERWRITE");//write out sdigits
  SdiReset();
  return kTRUE;
}//Raw2SDigits
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::StepCount()
{
// Count number of ckovs created  
}
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::StepHistory()
{
// This methode is invoked from StepManager() in order to print out 
  static Int_t iStepN;
  const char *sParticle;
  switch(TVirtualMC::GetMC()->TrackPid()){
    case kProton:      sParticle="PROTON"    ;break;
    case kNeutron:     sParticle="neutron"   ;break;
    case kGamma:       sParticle="gamma"     ;break;
    case 50000050:     sParticle="CKOV"      ;break;
    case kPi0:         sParticle="Pi0"       ;break;  
    case kPiPlus:      sParticle="Pi+"       ;break;  
    case kPiMinus:     sParticle="Pi-"       ;break;  
    case kElectron:    sParticle="electron"  ;break;  
    default:           sParticle="not known" ;break;
  }

  TString flag="fanny combination";
  if(TVirtualMC::GetMC()->IsTrackAlive()) {
    if(TVirtualMC::GetMC()->IsTrackEntering())      flag="enters to";
    else if(TVirtualMC::GetMC()->IsTrackExiting())  flag="exits from";
    else if(TVirtualMC::GetMC()->IsTrackInside())   flag="inside";
  } else {
    if(TVirtualMC::GetMC()->IsTrackStop())          flag="stopped in";
  }
  
  Int_t vid=0,copy=0;
  TString path=TVirtualMC::GetMC()->CurrentVolName(); path.Prepend("-");path.Prepend(TVirtualMC::GetMC()->CurrentVolOffName(1));//current volume and his mother are always there
  vid=TVirtualMC::GetMC()->CurrentVolOffID(2,copy);  if(vid) {path.Prepend("-");path.Prepend(TVirtualMC::GetMC()->VolName(vid));}
  vid=TVirtualMC::GetMC()->CurrentVolOffID(3,copy);  if(vid) {path.Prepend("-");path.Prepend(TVirtualMC::GetMC()->VolName(vid));}
 
  
  Printf("Step %i: %s (%i) %s %s m=%.6f GeV q=%.1f dEdX=%.4f Etot=%.4f",iStepN,sParticle,TVirtualMC::GetMC()->TrackPid(),flag.Data(),path.Data(),TVirtualMC::GetMC()->TrackMass(),TVirtualMC::GetMC()->TrackCharge(),TVirtualMC::GetMC()->Edep()*1e9,TVirtualMC::GetMC()->Etot());
  
  Double_t gMcTrackPos[3]; TVirtualMC::GetMC()->TrackPosition(gMcTrackPos[0],gMcTrackPos[1],gMcTrackPos[2]);
  Double_t  gMcTrackPosLoc[3]; TVirtualMC::GetMC()->Gmtod(gMcTrackPos,gMcTrackPosLoc,1);
  Printf("TVirtualMC::GetMC() Track Position (MARS) x: %5.3lf, y: %5.3lf, z: %5.3lf (r: %5.3lf) ---> (LOC) x: %5.3f, y: %5.3f, z: %5.3f",gMcTrackPos[0],gMcTrackPos[1],gMcTrackPos[2],TMath::Sqrt(gMcTrackPos[0]*gMcTrackPos[0]+gMcTrackPos[1]*gMcTrackPos[1]+gMcTrackPos[2]*gMcTrackPos[2]),gMcTrackPosLoc[0],gMcTrackPosLoc[1],gMcTrackPosLoc[2]);
  

  
  Printf("Step %i: tid=%i flags alive=%i disap=%i enter=%i exit=%i inside=%i out=%i stop=%i new=%i",
                            iStepN, gAlice->GetMCApp()->GetCurrentTrackNumber(),
                            TVirtualMC::GetMC()->IsTrackAlive(), TVirtualMC::GetMC()->IsTrackDisappeared(),TVirtualMC::GetMC()->IsTrackEntering(), TVirtualMC::GetMC()->IsTrackExiting(),
                            TVirtualMC::GetMC()->IsTrackInside(),TVirtualMC::GetMC()->IsTrackOut(),        TVirtualMC::GetMC()->IsTrackStop(),     TVirtualMC::GetMC()->IsNewTrack());
  
  Float_t a,z,den,rad,abs; a=z=den=rad=abs=-1;
  Int_t mid=TVirtualMC::GetMC()->CurrentMaterial(a,z,den,rad,abs);
  Printf("Step %i: mid=%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);
  
  TArrayI proc;  TVirtualMC::GetMC()->StepProcesses(proc); 
  Printf("Processes in this step:");
  for ( int i = 0 ; i < proc.GetSize(); i++)
  {
    Printf("%s",TMCProcessName[proc.At(i)]);
  }
  Printf("End process list");
  
  iStepN++;
}//StepHistory()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::StepManager()
{
// Full Step Manager.
// Arguments: none
//   Returns: none           
//  StepHistory(); return; //uncomment to print tracks history
 //  StepCount(); return;     //uncomment to count photons
  
  Int_t   copy; //volume copy aka node
  
//Treat photons    
  if((TVirtualMC::GetMC()->TrackPid()==50000050||TVirtualMC::GetMC()->TrackPid()==50000051)&&TVirtualMC::GetMC()->CurrentVolID(copy)==fIdPad){   //photon (Ckov or feedback) hit PC (fIdPad)
    if(TVirtualMC::GetMC()->Edep()>0){                                                                           //photon survided QE test i.e. produces electron
      if(IsLostByFresnel()){ TVirtualMC::GetMC()->StopTrack(); return;}                                          //photon lost due to fersnel reflection on PC       
                       TVirtualMC::GetMC()->CurrentVolOffID(5,copy);                                             //current chamber since geomtry tree is Hmp-Hsec-Hgap-Hrow-Hcel-Hpad
      Int_t   tid=     TVirtualMC::GetMC()->GetStack()->GetCurrentTrackNumber();                                 //take TID
      Int_t   pid=     TVirtualMC::GetMC()->TrackPid();                                                          //take PID
      Float_t etot=    TVirtualMC::GetMC()->Etot();                                                              //total hpoton energy, [GeV] 
      Double_t x[3];   TVirtualMC::GetMC()->TrackPosition(x[0],x[1],x[2]);                                       //take MARS position at entrance to PC
      Float_t hitTime= (Float_t)TVirtualMC::GetMC()->TrackTime();                                                         //hit formation time 
      Float_t xl,yl;   AliHMPIDParam::Instance()->Mars2Lors(copy,x,xl,yl);                       //take LORS position
      new((*fHits)[fNhits++])AliHMPIDHit(copy,etot,pid,tid,xl,yl,hitTime,x);                             //HIT for photon, position at P, etot will be set to Q
      if(fDoFeed) GenFee(etot);                                                                  //generate feedback photons etot is modified in hit ctor to Q of hit
    }//photon hit PC and DE >0 
  }//photon hit PC
  
//Treat charged particles  
  static Float_t eloss;                                                                           //need to store mip parameters between different steps    
  static Double_t in[3];                                                                          
  if(TVirtualMC::GetMC()->IsTrackEntering() && TVirtualMC::GetMC()->TrackCharge() && TVirtualMC::GetMC()->CurrentVolID(copy)==fIdPad)             //Trackref stored when entering in the pad volume
    AddTrackReference(TVirtualMC::GetMC()->GetStack()->GetCurrentTrackNumber(), AliTrackReference::kHMPID);       //for acceptance calculations
  if(TVirtualMC::GetMC()->TrackCharge() && TVirtualMC::GetMC()->CurrentVolID(copy)==fIdCell){                                     //charged particle in amplification gap (fIdCell)
    if(TVirtualMC::GetMC()->IsTrackEntering()||TVirtualMC::GetMC()->IsNewTrack()) {                                               //entering or newly created
      eloss=0;                                                                                    //reset Eloss collector                         
      TVirtualMC::GetMC()->TrackPosition(in[0],in[1],in[2]);                                                      //take position at the entrance
    }else if(TVirtualMC::GetMC()->IsTrackExiting()||TVirtualMC::GetMC()->IsTrackStop()||TVirtualMC::GetMC()->IsTrackDisappeared()){               //exiting or disappeared
      eloss              +=TVirtualMC::GetMC()->Edep();                                                           //take into account last step Eloss
                          TVirtualMC::GetMC()->CurrentVolOffID(4,copy);                                           //take current chamber since geometry tree is Hmp-Hsec-Hgap-Hrow-Hcel
      Int_t tid=          TVirtualMC::GetMC()->GetStack()->GetCurrentTrackNumber();                               //take TID
      Int_t pid=          TVirtualMC::GetMC()->TrackPid();                                                        //take PID
      Double_t out[3];    TVirtualMC::GetMC()->TrackPosition(out[0],out[1],out[2]);                               //take MARS position at exit
      Float_t hitTime= (Float_t)TVirtualMC::GetMC()->TrackTime();                                                         //hit formation time       
      out[0]=0.5*(out[0]+in[0]);                                                                  //>
      out[1]=0.5*(out[1]+in[1]);                                                                  //take hit position at the anod plane
      out[2]=0.5*(out[2]+in[2]);                                                                  //>
      Float_t xl,yl;AliHMPIDParam::Instance()->Mars2Lors(copy,out,xl,yl);                         //take LORS position
      new((*fHits)[fNhits++])AliHMPIDHit(copy,eloss,pid,tid,xl,yl,hitTime,out);                   //HIT for MIP, position near anod plane, eloss will be set to Q 
      if(fDoFeed) GenFee(eloss);                                                                  //generate feedback photons 
    }else                                                                                         //just going inside
      eloss          += TVirtualMC::GetMC()->Edep();                                                              //collect this step eloss 
  }//MIP in GAP
}//StepManager()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::TestPoint(Int_t ch,Float_t x,Float_t y)
{
// Utility method to check the validity of geometry by poviding some crucial points
// Arguments: ch,x,y- crucial point definition (cm) in LORS
//   Returns: none    
  Double_t mars[3];
  AliHMPIDParam::Instance()->Lors2Mars(ch,x,y,mars);
  Printf("(ch=%i,locX=%.2f,locY=%.2f) %s",ch,x,y,gGeoManager->FindNode(mars[0],mars[1],mars[2])->GetName());
}//TestPoint()
//++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
void AliHMPIDv2::TestGeom()
{
//
// Test method to check geometry
//
  //TGeoManager::Import("misaligned_geometry.root");
  TGeoManager::Import("geometry.root");
  for(Int_t ch=AliHMPIDParam::kMinCh;ch<=AliHMPIDParam::kMaxCh;ch++)
    TestPoint(ch,0,0);
}//TestPoint()
//+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

void  AliHMPIDv2::IdealPosition(Int_t iCh,TGeoHMatrix *pMatrix)       //ideal position of given chamber 
{
// Construct ideal position matrix for a given chamber
// Arguments: iCh- chamber ID; pMatrix- pointer to precreated unity matrix where to store the results
//   Returns: none
  const Double_t kAngHor=19.5;        //  horizontal angle between chambers  19.5 grad
  const Double_t kAngVer=20;          //  vertical angle between chambers    20   grad     
  const Double_t kAngCom=30;          //  common HMPID rotation with respect to x axis  30   grad     
  const Double_t kTrans[3]={490,0,0}; //  center of the chamber is on window-gap surface
  pMatrix->RotateY(90);               //  rotate around y since initial position is in XY plane -> now in YZ plane
  pMatrix->SetTranslation(kTrans);    //  now plane in YZ is shifted along x 
  switch(iCh){
    case 0:                pMatrix->RotateY(kAngHor);  pMatrix->RotateZ(-kAngVer);  break; //right and down 
    case 1:                                            pMatrix->RotateZ(-kAngVer);  break; //down              
    case 2:                pMatrix->RotateY(kAngHor);                               break; //right 
    case 3:                                                                         break; //no rotation
    case 4:                pMatrix->RotateY(-kAngHor);                              break; //left   
    case 5:                                            pMatrix->RotateZ(kAngVer);   break; //up
    case 6:                pMatrix->RotateY(-kAngHor); pMatrix->RotateZ(kAngVer);   break; //left and up 
  }
  pMatrix->RotateZ(kAngCom);     //apply common rotation  in XY plane    
}