//
// ********************************************************************
// * DISCLAIMER                                                       *
// *                                                                  *
// * The following disclaimer summarizes all the specific disclaimers *
// * of contributors to this software. The specific disclaimers,which *
// * govern, are listed with their locations in:                      *
// *   http://cern.ch/geant4/license                                  *
// *                                                                  *
// * Neither the authors of this software system, nor their employing *
// * institutes,nor the agencies providing financial support for this *
// * work  make  any representation or  warranty, express or implied, *
// * regarding  this  software system or assume any liability for its *
// * use.                                                             *
// *                                                                  *
// * This  code  implementation is the  intellectual property  of the *
// * GEANT4 collaboration.                                            *
// * By copying,  distributing  or modifying the Program (or any work *
// * based  on  the Program)  you indicate  your  acceptance of  this *
// * statement, and all its terms.                                    *
// ********************************************************************
//
//
// $Id$
// GEANT4 tag $Name: geant4-07-00-cand-03 $
//
// -----------------------------------------------------------------------------
// 16/05/01 value of cparm changed , L.Urban
// 18/05/01 V.Ivanchenko Clean up against Linux ANSI compilation
// 07/08/01 new methods Store/Retrieve PhysicsTable (mma) 
// 23-08-01 new angle and z distribution,energy dependence reduced,
//          Store,Retrieve methods commented out temporarily, L.Urban
// 27-08-01 in BuildPhysicsTable:aParticleType.GetParticleName()=="mu+" (mma)
// 28-08-01 GetContinuousStepLimit and AlongStepDoIt moved from .icc file (mma)
// 03-09-01 value of data member factlim changed, L.Urban
// 10-09-01 small change in GetContinuousStepLimit, L.Urban
// 11-09-01 G4MultipleScatteringx put as default G4MultipleScattering
//          store/retrieve physics table reactivated (mma)
// 13-09-01 corr. in ComputeTransportCrossSection, L.Urban
// 14-09-01 protection in GetContinuousStepLimit, L.Urban
// 17-09-01 migration of Materials to pure STL (mma)
// 27-09-01 value of data member factlim changed, L.Urban
// 31-10-01 big fixed in PostStepDoIt,L.Urban
// 24-04-02 some minor changes in boundary algorithm, L.Urban
// 06-05-02 bug fixed in GetContinuousStepLimit, L.Urban
// 24-05-02 changes in angle distribution and boundary algorithm, L.Urban
// 11-06-02 bug fixed in ComputeTransportCrossSection, L.Urban
// 12-08-02 bug fixed in PostStepDoIt (lateral displacement), L.Urban
// 15-08-02 new angle distribution, L.Urban
// 26-09-02 angle distribution + boundary algorithm modified, L.Urban
// 15-10-02 temporary fix for proton scattering
// 30-10-02 modified angle distribution,mods in boundary algorithm,
//          changes in data members, L.Urban
// 30-10-02 rename variable cm - Ecm, V.Ivanchenko
// 11-12-02 precision problem in ComputeTransportCrossSection
//          for small Tkin/for heavy particles cured, L.Urban
// 05-02-03 changes in data members, new sampling for geom.
//          path length, step dependence reduced with new
//          method
// 17-03-03 cut per region, V.Ivanchenko
// 13-04-03 add initialisation in GetContinuesStepLimit
//          + change table size (V.Ivanchenko)
// 26-04-03 fix problems of retrieve tables (M.Asai)
// 23-05-03 important change in angle distribution for muons/hadrons
//          the central part now is similar to the Highland parametrization +
//          minor correction in angle sampling algorithm (for all particles)
//          (L.Urban)
// 24-05-03 bug in nuclear size corr.computation fixed thanks to Vladimir(L.Urban)
// 30-05-03 misprint in PostStepDoIt corrected(L.Urban)
// 08-08-03 This class is frozen at the release 5.2 (V.Ivanchenko)
// 08-11-04 Remove Store/Retrieve tables (V.Ivantchenko)
// 07-04-05 in BuildPhysicsTable:aParticleType.GetParticleName()=="Mu" (PARAISO)
// -----------------------------------------------------------------------------
//
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......

#include "LEMuSRMSC.hh"
#include "G4StepStatus.hh"
#include "G4Navigator.hh"
#include "G4TransportationManager.hh"
#include "Randomize.hh"
#include "G4ProductionCutsTable.hh"
#include "LEMuSRDetectorConstruction.hh"
#include "LEMuSRPrimaryGeneratorAction.hh"


#include "meyer.h"
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......

using namespace std;

LEMuSRMSC::LEMuSRMSC(const G4String& processName)
     : G4VContinuousDiscreteProcess(processName),
       theTransportMeanFreePathTable(0),
       taubig(8.0),tausmall(1.e-14),taulim(1.e-5),
       LowestKineticEnergy(0.1*keV),
       HighestKineticEnergy(100.*TeV),
       TotBin(100),
       materialIndex(0),
       tLast (0.0),
       zLast (0.0),
       boundary(true),
       facrange(0.199),tlimit(1.e10*mm),tlimitmin(1.e-7*mm),
       cf(1.001),
       stepno(0),stepnolastmsc(-1000000),nsmallstep(5),
       laststep(0.), 
       valueGPILSelectionMSC(NotCandidateForSelection),
       zmean(0.),samplez(true),
       range(1.),T0(1.),T1(1.),lambda0(1.),lambda1(-1.),
       Tlow(0.),alam(1.),blam(1.),dtrl(0.15),
       lambdam(-1.),clam(1.),zm(1.),cthm(1.),
       fLatDisplFlag(true),
       NuclCorrPar (0.0615),
       FactPar(0.40),
       facxsi(1.)
  { }
  
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......

LEMuSRMSC::~LEMuSRMSC()
{
  if(theTransportMeanFreePathTable)
    {
      theTransportMeanFreePathTable->clearAndDestroy();
      delete theTransportMeanFreePathTable;
    }
}

//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......

void LEMuSRMSC::BuildPhysicsTable(
                              const G4ParticleDefinition& aParticleType)
{
  // set values of some data members
    if((aParticleType.GetParticleName() == "e-") ||
       (aParticleType.GetParticleName() == "e+"))
    {
       // parameters for e+/e-
       alfa1 = 1.45 ;
       alfa2 = 0.60 ;
       alfa3 = 0.30 ;
       b = 1. ;
       xsi = facxsi*2.22 ;
       c0 = 2.30 ;
    }
    else
    {
       // parameters for heavy particles
       alfa1 = 1.10 ;
       alfa2 = 0.14 ;
       alfa3 = 0.07 ;
       b = 1. ;
       xsi = facxsi*2.70 ;
       c0 = 1.40 ;
    }

  // ..............................
    Tlow = aParticleType.GetPDGMass();

  // tables are built for MATERIALS
    const G4double sigmafactor = twopi*classic_electr_radius*
                                       classic_electr_radius;
    G4double KineticEnergy,AtomicNumber,AtomicWeight,sigma,lambda;
    G4double density;

  // destroy old tables if any
    if (theTransportMeanFreePathTable)
      {
        theTransportMeanFreePathTable->clearAndDestroy();
        delete theTransportMeanFreePathTable;
      }

  // create table
    const G4ProductionCutsTable* theCoupleTable=
          G4ProductionCutsTable::GetProductionCutsTable();
    size_t numOfCouples = theCoupleTable->GetTableSize();

    theTransportMeanFreePathTable = new G4PhysicsTable(numOfCouples);

  // loop for materials
    for (size_t i=0; i<numOfCouples; i++)
    {

      //  create physics vector and fill it
      G4PhysicsLogVector* aVector = new G4PhysicsLogVector(
                          LowestKineticEnergy,HighestKineticEnergy,TotBin);

      // get elements in the material
      const G4MaterialCutsCouple* couple = theCoupleTable->
                                           GetMaterialCutsCouple(i);
      const G4Material* material = couple->GetMaterial();
      const G4ElementVector* theElementVector = material->GetElementVector();
      const G4double* NbOfAtomsPerVolume =
                                     material->GetVecNbOfAtomsPerVolume();
      const G4int NumberOfElements = material->GetNumberOfElements();
      density = material->GetDensity();

      // loop for kinetic energy values
      for (G4int i=0; i<TotBin; i++)
      {
          KineticEnergy = aVector->GetLowEdgeEnergy(i);
          sigma = 0.;

          // loop for element in the material
          for (G4int iel=0; iel<NumberOfElements; iel++)
          {
            AtomicNumber = (*theElementVector)[iel]->GetZ();
            AtomicWeight = (*theElementVector)[iel]->GetA();
            sigma += NbOfAtomsPerVolume[iel]*
                     ComputeTransportCrossSection(aParticleType,KineticEnergy,
                                                   AtomicNumber,AtomicWeight);
          }
          sigma *= sigmafactor;
          lambda = 1./sigma;
          aVector->PutValue(i,lambda);
      }

      theTransportMeanFreePathTable->insert(aVector);

    }

    if((aParticleType.GetParticleName() == "e-"    ) ||
       (aParticleType.GetParticleName() == "mu+"   ) ||
       (aParticleType.GetParticleName() == "Mu"   ) ||
       (aParticleType.GetParticleName() == "proton")  ) PrintInfoDefinition();
}

//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......

G4double LEMuSRMSC::ComputeTransportCrossSection(
                   const G4ParticleDefinition& aParticleType,
                         G4double KineticEnergy,
                         G4double AtomicNumber,G4double AtomicWeight)
{
  const G4double epsfactor = 2.*electron_mass_c2*electron_mass_c2*
                             Bohr_radius*Bohr_radius/(hbarc*hbarc);
  const G4double epsmin = 1.e-4 , epsmax = 1.e10;

  const G4double Zdat[15] = { 4., 6.,13.,20.,26.,29.,32.,38.,47.,
                             50.,56.,64.,74.,79.,82. };

  const G4double Tdat[23] = {0.0001*MeV,0.0002*MeV,0.0004*MeV,0.0007*MeV,
                             0.001*MeV,0.002*MeV,0.004*MeV,0.007*MeV,
                             0.01*MeV,0.02*MeV,0.04*MeV,0.07*MeV,
                             0.1*MeV,0.2*MeV,0.4*MeV,0.7*MeV,
                             1.*MeV,2.*MeV,4.*MeV,7.*MeV,10.*MeV,20.*MeV,
                             10000.0*MeV};

 // corr. factors for e-/e+ lambda
          G4double celectron[15][23] =
          {{1.125,1.072,1.051,1.047,1.047,1.050,1.052,1.054,
            1.054,1.057,1.062,1.069,1.075,1.090,1.105,1.111,
            1.112,1.108,1.100,1.093,1.089,1.087,0.7235     },
           {1.408,1.246,1.143,1.096,1.077,1.059,1.053,1.051,
            1.052,1.053,1.058,1.065,1.072,1.087,1.101,1.108,
            1.109,1.105,1.097,1.090,1.086,1.082,0.7925     },
           {2.833,2.268,1.861,1.612,1.486,1.309,1.204,1.156,
            1.136,1.114,1.106,1.106,1.109,1.119,1.129,1.132,
            1.131,1.124,1.113,1.104,1.099,1.098,0.9147     },
           {3.879,3.016,2.380,2.007,1.818,1.535,1.340,1.236,
            1.190,1.133,1.107,1.099,1.098,1.103,1.110,1.113,
            1.112,1.105,1.096,1.089,1.085,1.098,0.9700     },
           {6.937,4.330,2.886,2.256,1.987,1.628,1.395,1.265,
            1.203,1.122,1.080,1.065,1.061,1.063,1.070,1.073,
            1.073,1.070,1.064,1.059,1.056,1.056,1.0022     },
           {9.616,5.708,3.424,2.551,2.204,1.762,1.485,1.330,
            1.256,1.155,1.099,1.077,1.070,1.068,1.072,1.074,
            1.074,1.070,1.063,1.059,1.056,1.052,1.0158     },
           {11.72,6.364,3.811,2.806,2.401,1.884,1.564,1.386,
            1.300,1.180,1.112,1.082,1.073,1.066,1.068,1.069,
            1.068,1.064,1.059,1.054,1.051,1.050,1.0284     },
           {18.08,8.601,4.569,3.183,2.662,2.025,1.646,1.439,
            1.339,1.195,1.108,1.068,1.053,1.040,1.039,1.039,
            1.039,1.037,1.034,1.031,1.030,1.036,1.0515     },
           {18.22,10.48,5.333,3.713,3.115,2.367,1.898,1.631,
            1.498,1.301,1.171,1.105,1.077,1.048,1.036,1.033,
            1.031,1.028,1.024,1.022,1.021,1.024,1.0834     },
           {14.14,10.65,5.710,3.929,3.266,2.453,1.951,1.669,
            1.528,1.319,1.178,1.106,1.075,1.040,1.027,1.022,
            1.020,1.017,1.015,1.013,1.013,1.020,1.0937     },
           {14.11,11.73,6.312,4.240,3.478,2.566,2.022,1.720,
            1.569,1.342,1.186,1.102,1.065,1.022,1.003,0.997,
            0.995,0.993,0.993,0.993,0.993,1.011,1.1140     },
           {22.76,20.01,8.835,5.287,4.144,2.901,2.219,1.855,
            1.677,1.410,1.224,1.121,1.073,1.014,0.986,0.976,
            0.974,0.972,0.973,0.974,0.975,0.987,1.1410     },
           {50.77,40.85,14.13,7.184,5.284,3.435,2.520,2.059,
            1.837,1.512,1.283,1.153,1.091,1.010,0.969,0.954,
            0.950,0.947,0.949,0.952,0.954,0.963,1.1750     },
           {65.87,59.06,15.87,7.570,5.567,3.650,2.682,2.182,
            1.939,1.579,1.325,1.178,1.108,1.014,0.965,0.947,
            0.941,0.938,0.940,0.944,0.946,0.954,1.1922     },
          // {45.60,47.34,15.92,7.810,5.755,3.767,2.760,2.239, // paper.....
           {55.60,47.34,15.92,7.810,5.755,3.767,2.760,2.239,
            1.985,1.609,1.343,1.188,1.113,1.013,0.960,0.939,
            0.933,0.930,0.933,0.936,0.939,0.949,1.2026     }};
           G4double cpositron[15][23] = {
           {2.589,2.044,1.658,1.446,1.347,1.217,1.144,1.110,
            1.097,1.083,1.080,1.086,1.092,1.108,1.123,1.131,
            1.131,1.126,1.117,1.108,1.103,1.100,0.7235     },
           {3.904,2.794,2.079,1.710,1.543,1.325,1.202,1.145,
            1.122,1.096,1.089,1.092,1.098,1.114,1.130,1.137,
            1.138,1.132,1.122,1.113,1.108,1.102,0.7925     },
           {7.970,6.080,4.442,3.398,2.872,2.127,1.672,1.451,
            1.357,1.246,1.194,1.179,1.178,1.188,1.201,1.205,
            1.203,1.190,1.173,1.159,1.151,1.145,0.9147     },
           {9.714,7.607,5.747,4.493,3.815,2.777,2.079,1.715,
            1.553,1.353,1.253,1.219,1.211,1.214,1.225,1.228,
            1.225,1.210,1.191,1.175,1.166,1.174,0.9700     },
           {17.97,12.95,8.628,6.065,4.849,3.222,2.275,1.820,
            1.624,1.382,1.259,1.214,1.202,1.202,1.214,1.219,
            1.217,1.203,1.184,1.169,1.160,1.151,1.0022     },
           {24.83,17.06,10.84,7.355,5.767,3.707,2.546,1.996,
            1.759,1.465,1.311,1.252,1.234,1.228,1.238,1.241,
            1.237,1.222,1.201,1.184,1.174,1.159,1.0158     },
           {23.26,17.15,11.52,8.049,6.375,4.114,2.792,2.155,
            1.880,1.535,1.353,1.281,1.258,1.247,1.254,1.256,
            1.252,1.234,1.212,1.194,1.183,1.170,1.0284     },
           {22.33,18.01,12.86,9.212,7.336,4.702,3.117,2.348,
            2.015,1.602,1.385,1.297,1.268,1.251,1.256,1.258,
            1.254,1.237,1.214,1.195,1.185,1.179,1.0515     },
           {33.91,24.13,15.71,10.80,8.507,5.467,3.692,2.808,
            2.407,1.873,1.564,1.425,1.374,1.330,1.324,1.320,
            1.312,1.288,1.258,1.235,1.221,1.205,1.0834     },
           {32.14,24.11,16.30,11.40,9.015,5.782,3.868,2.917,
            2.490,1.925,1.596,1.447,1.391,1.342,1.332,1.327,
            1.320,1.294,1.264,1.240,1.226,1.214,1.0937     },
           {29.51,24.07,17.19,12.28,9.766,6.238,4.112,3.066,
            2.602,1.995,1.641,1.477,1.414,1.356,1.342,1.336,
            1.328,1.302,1.270,1.245,1.231,1.233,1.1140     },
           {38.19,30.85,21.76,15.35,12.07,7.521,4.812,3.498,
            2.926,2.188,1.763,1.563,1.484,1.405,1.382,1.371,
            1.361,1.330,1.294,1.267,1.251,1.239,1.1410     },
           {49.71,39.80,27.96,19.63,15.36,9.407,5.863,4.155,
            3.417,2.478,1.944,1.692,1.589,1.480,1.441,1.423,
            1.409,1.372,1.330,1.298,1.280,1.258,1.1750     },
           {59.25,45.08,30.36,20.83,16.15,9.834,6.166,4.407,
            3.641,2.648,2.064,1.779,1.661,1.531,1.482,1.459,
            1.442,1.400,1.354,1.319,1.299,1.272,1.1922     },
           {56.38,44.29,30.50,21.18,16.51,10.11,6.354,4.542,
            3.752,2.724,2.116,1.817,1.692,1.554,1.499,1.474,
            1.456,1.412,1.364,1.328,1.307,1.282,1.2026     }};

   G4double sigma;
   G4double Z23 = 2.*log(AtomicNumber)/3.; Z23 = exp(Z23);

   G4double ParticleMass = aParticleType.GetPDGMass();
   G4double ParticleKineticEnergy = KineticEnergy ;

  // correction if particle .ne. e-/e+            
  // compute equivalent kinetic energy
  // lambda depends on p*beta ....
   G4double Mass = ParticleMass ;
   if((aParticleType.GetParticleName() != "e-") &&    
      (aParticleType.GetParticleName() != "e+") )
   {
     G4double TAU = KineticEnergy/Mass ;
     G4double c = Mass*TAU*(TAU+2.)/(electron_mass_c2*(TAU+1.)) ;
     G4double w = c-2. ;
     G4double tau = 0.5*(w+sqrt(w*w+4.*c)) ;
     KineticEnergy = electron_mass_c2*tau ;
     Mass = electron_mass_c2 ;
   }

   G4double Charge = aParticleType.GetPDGCharge();
   G4double ChargeSquare = Charge*Charge/(eplus*eplus);

   G4double TotalEnergy = KineticEnergy + Mass ;
   G4double beta2 = KineticEnergy*(TotalEnergy+Mass)
                                 /(TotalEnergy*TotalEnergy);
   G4double bg2   = KineticEnergy*(TotalEnergy+Mass)
                                 /(Mass*Mass);

   G4double eps = epsfactor*bg2/Z23;

   if     (eps<epsmin)  sigma = 2.*eps*eps;
   else if(eps<epsmax)  sigma = log(1.+2.*eps)-2.*eps/(1.+2.*eps);
   else                 sigma = log(2.*eps)-1.+1./eps;

   sigma *= ChargeSquare*AtomicNumber*AtomicNumber/(beta2*bg2);

  // nuclear size effect correction for high energy
  // ( a simple approximation at present)
  G4double corrnuclsize,a,x0,w1,w2,w;

  x0 = 1. - NuclCorrPar*ParticleMass/(ParticleKineticEnergy*
               exp(log(AtomicWeight/(g/mole))/3.));
  if ( (x0 < -1.) || (ParticleKineticEnergy <= 10.*MeV))
      { x0 = -1.; corrnuclsize = 1.;}
  else
      { a = 1.+1./eps;
        if (eps > epsmax) w1=log(2.*eps)+1./eps-3./(8.*eps*eps);
        else              w1=log((a+1.)/(a-1.))-2./(a+1.);
        w = 1./((1.-x0)*eps);
        if (w < epsmin)   w2=-log(w)-1.+2.*w-1.5*w*w;
        else              w2 = log((a-x0)/(a-1.))-(1.-x0)/(a-x0);
        corrnuclsize = w1/w2;
        corrnuclsize = exp(-FactPar*ParticleMass/ParticleKineticEnergy)*
                      (corrnuclsize-1.)+1.;
      }

  // interpolate in AtomicNumber and beta2
  // get bin number in Z
  G4int iZ = 14;
  while ((iZ>=0)&&(Zdat[iZ]>=AtomicNumber)) iZ -= 1;
  if (iZ==14)                               iZ = 13;
  if (iZ==-1)                               iZ = 0 ;

  G4double Z1 = Zdat[iZ];
  G4double Z2 = Zdat[iZ+1];
  G4double ratZ = (AtomicNumber-Z1)/(Z2-Z1);

  // get bin number in T (beta2)
  G4int iT = 22;
  while ((iT>=0)&&(Tdat[iT]>=KineticEnergy)) iT -= 1;
  if(iT==22)                                 iT = 21;
  if(iT==-1)                                 iT = 0 ;

  //  calculate betasquare values
  G4double T = Tdat[iT],   E = T + electron_mass_c2;
  G4double b2small = T*(E+electron_mass_c2)/(E*E);
  T = Tdat[iT+1]; E = T + electron_mass_c2;
  G4double b2big = T*(E+electron_mass_c2)/(E*E);
  G4double ratb2 = (beta2-b2small)/(b2big-b2small);

  G4double c1,c2,cc1,cc2,corr;
  
  if (Charge < 0.)
    {
       c1 = celectron[iZ][iT];
       c2 = celectron[iZ+1][iT];
       cc1 = c1+ratZ*(c2-c1);

       c1 = celectron[iZ][iT+1];
       c2 = celectron[iZ+1][iT+1];
       cc2 = c1+ratZ*(c2-c1);

       corr = cc1+ratb2*(cc2-cc1);
       sigma /= corr;
    }

  if (Charge > 0.)
    {
       c1 = cpositron[iZ][iT];
       c2 = cpositron[iZ+1][iT];
       cc1 = c1+ratZ*(c2-c1);

       c1 = cpositron[iZ][iT+1];
       c2 = cpositron[iZ+1][iT+1];
       cc2 = c1+ratZ*(c2-c1);

       corr = cc1+ratb2*(cc2-cc1);
       sigma /= corr;
    }

  //  nucl. size correction for particles other than e+/e- only at present !!!!
  if((aParticleType.GetParticleName() != "e-") &&
     (aParticleType.GetParticleName() != "e+")   )
     sigma /= corrnuclsize;

  return sigma;

}

//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......

G4double LEMuSRMSC::GetContinuousStepLimit(
                                   const G4Track& track,
                                   G4double,
                                   G4double currentMinimumStep,
                                   G4double&)
{
  G4double zPathLength,tPathLength;
  const G4DynamicParticle* aParticle;
  G4double tau,zt,cz,cz1,grej,grej0;
  const G4double expmax = 100., ztmax = (2.*expmax+1.)/(2.*expmax+3.) ;
  const G4double tmax = 1.e20*mm ;

  G4bool isOut;

  // this process is not a candidate for selection by default
  valueGPILSelectionMSC = NotCandidateForSelection;

  tPathLength = currentMinimumStep;

  const G4MaterialCutsCouple* couple = track.GetMaterialCutsCouple();
  materialIndex = couple->GetIndex();

  aParticle = track.GetDynamicParticle();
  T0 = aParticle->GetKineticEnergy();

  lambda0 = (*theTransportMeanFreePathTable)
            (materialIndex)->GetValue(T0,isOut);


  range = G4EnergyLossTables::GetRange(aParticle->GetDefinition(),
                                       T0,couple);
  //VI Initialisation at the beginning of the step
  cthm = 1.;
  lambda1 = -1.;
  lambdam = -1.;
  alam    = range;
  blam    = 1.+alam/lambda0 ;
  zm      = 1.;

  // special treatment near boundaries ?
  if (boundary && range >= currentMinimumStep)
  {
    // step limitation at boundary ?
    stepno = track.GetCurrentStepNumber() ;
    if(stepno == 1)
    {
      stepnolastmsc = -1000000 ;
      tlimit = 1.e10 ;
    }

    if(stepno > 1)
    {
      if(track.GetStep()->GetPreStepPoint()->GetStepStatus() == fGeomBoundary)
      {
        stepnolastmsc = stepno ;
        //  if : diff.treatment for small/not small Z
        if(range > lambda0)
          tlimit = facrange*range ;
        else
          tlimit = facrange*lambda0 ;
        if(tlimit < tlimitmin) tlimit = tlimitmin ;
        laststep = tlimit ;
        if(tPathLength > tlimit)
        {
          tPathLength = tlimit ;
          valueGPILSelectionMSC = CandidateForSelection;
        }
      }
      else if(stepno > stepnolastmsc)
      {
        if((stepno - stepnolastmsc) < nsmallstep)
        {
          if(tPathLength > tlimit)
          {
            laststep *= cf ;
            tPathLength = laststep ;
            valueGPILSelectionMSC = CandidateForSelection;
          }
        }
      }
    }
  }

  //  do the true -> geom transformation
  zmean = tPathLength;

  tau   = tPathLength/lambda0 ;

  if (tau < tausmall || range < currentMinimumStep) zPathLength = tPathLength;
  else
  {
    if(tPathLength/range < dtrl) zmean = lambda0*(1.-exp(-tau));
    else
    {
      T1 = G4EnergyLossTables::GetPreciseEnergyFromRange(
                   aParticle->GetDefinition(),range-tPathLength,couple);
      lambda1 = (*theTransportMeanFreePathTable)
                        (materialIndex)->GetValue(T1,isOut);
      if(T0 < Tlow)
        alam = range ;
      else
        alam = lambda0*tPathLength/(lambda0-lambda1) ;
      blam = 1.+alam/lambda0 ;
      if(tPathLength/range < 2.*dtrl)
      {
        zmean = alam*(1.-exp(blam*log(1.-tPathLength/alam)))/blam ;
        lambdam = -1. ;
      }
      else
      {
        G4double w = 1.-0.5*tPathLength/alam ;
        lambdam = lambda0*w ;
        clam = 1.+alam/lambdam ;
        cthm = exp(alam*log(w)/lambda0) ;
        zm = alam*(1.-exp(blam*log(w)))/blam ;
        zmean = zm + alam*(1.-exp(clam*log(w)))*cthm/clam ;
      }
    }

    //  sample z
    zt = zmean/tPathLength ;
    if (samplez && (zt < ztmax) && (zt > 0.5))
    {
      cz = 0.5*(3.*zt-1.)/(1.-zt) ;
      if(tPathLength < exp(log(tmax)/(2.*cz)))
      {
        cz1 = 1.+cz ;
        grej0 = exp(cz1*log(cz*tPathLength/cz1))/cz ;
        do
        {
          zPathLength = tPathLength*exp(log(G4UniformRand())/cz1) ;
          grej = exp(cz*log(zPathLength))*(tPathLength-zPathLength)/grej0 ;
        } while (grej < G4UniformRand()) ;
      }
      else zPathLength = zmean;
    }
    else zPathLength = zmean;
  }
  // protection against z > lambda
  if(zPathLength > lambda0)
    zPathLength = lambda0 ;

  tLast = tPathLength;
  zLast = zPathLength;

  return zPathLength;
}

//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......

G4VParticleChange* LEMuSRMSC::AlongStepDoIt(
                                       const G4Track& track,const G4Step& step)
{
  // only a geom path->true path transformation is performed

  fParticleChange.Initialize(track);

  G4double geomPathLength = step.GetStepLength();

  G4double truePathLength = 0. ;

  //VI change order of if operators
  if(geomPathLength == zLast)                truePathLength = tLast;
  else if(geomPathLength/lambda0 < tausmall) truePathLength = geomPathLength;
  else
  {
    if(lambda1 < 0.) truePathLength = -lambda0*log(1.-geomPathLength/lambda0) ;
    else if(lambdam < 0.)
    {
      if(blam*geomPathLength/alam < 1.)
        truePathLength = alam*(1.-exp(log(1.-blam*geomPathLength/alam)/
                                    blam)) ;
      else
        truePathLength = tLast;
    }
    else
    {
      if(geomPathLength <= zm)
      {
        if(blam*geomPathLength/alam < 1.)
          truePathLength = alam*(1.-exp(log(1.-blam*geomPathLength/alam)/
                                    blam)) ;
        else
          truePathLength = 0.5*tLast;  

        lambdam = -1. ;
      }
      else
      {
        if(clam*(geomPathLength-zm)/(alam*cthm) < 1.)
          truePathLength = 0.5*tLast + alam*(1.-
                      exp(log(1.-clam*(geomPathLength-zm)/(alam*cthm)))/clam) ;
        else
          truePathLength = tLast ;
      }
    }     
    // protection ....
    if(truePathLength > tLast)
      truePathLength = tLast ;
  }

  //VI truePath length cannot be smaller than geomPathLength
  if (truePathLength < geomPathLength) truePathLength = geomPathLength;
  fParticleChange.ProposeTrueStepLength(truePathLength);

  return &fParticleChange;

}

//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......

G4VParticleChange* LEMuSRMSC::PostStepDoIt(
                                               const G4Track& trackData,
                                               const G4Step& stepData)
{
  // angle distribution parameters
  const G4double kappa = 2.5, kappapl1 = kappa+1., kappami1 = kappa-1. ;

  fParticleChange.Initialize(trackData);
  G4double truestep = stepData.GetStepLength();

  const G4DynamicParticle* aParticle = trackData.GetDynamicParticle();
  G4double KineticEnergy = aParticle->GetKineticEnergy();
  G4double Mass = aParticle->GetDefinition()->GetPDGMass() ;

  // do nothing for stopped particles !
  if(KineticEnergy > 0.)
  {
    //  change direction first ( scattering )
    G4double cth = 1.0 ;
    G4double tau = truestep/lambda0 ;

    if     (tau < tausmall) cth =  1.;
    else if(tau > taubig)   cth = -1.+2.*G4UniformRand();
    else
    {
      if(lambda1 > 0.)
      {
       if(lambdam < 0.)
        tau = -alam*log(1.-truestep/alam)/lambda0 ;
       else
        tau = -log(cthm)-alam*log(1.-(truestep-0.5*tLast)/alam)/lambdam ;
      }

      if(tau > taubig)   cth = -1.+2.*G4UniformRand();
      else
      {
       const G4double amax=25. ;
       const G4double tau0 = 0.02  ;
       const G4double c_highland = 13.6*MeV, corr_highland=0.038 ;
       
       const G4double x1fac1 = exp(-xsi) ;
       const G4double x1fac2 = (1.-(1.+xsi)*x1fac1)/(1.-x1fac1) ;
       const G4double x1fac3 = 1.3      ; // x1fac3 >= 1.  !!!!!!!!!         
       
       G4double a,x0,c,xmean1,xmean2,
                 xmeanth,prob,qprob ;
       G4double ea,eaa,b1,bx,eb1,ebx,cnorm1,cnorm2,f1x0,f2x0,w ;

       // for heavy particles take the width of the cetral part
       //  from the Highland formula 
       // (Particle Physics Booklet, July 2002, eq. 26.10)
       if(Mass > electron_mass_c2) // + other conditions (beta, x/X0,...?)
       {
         G4double Q = fabs(aParticle->GetDefinition()->GetPDGCharge()) ;
         G4double X0 = trackData.GetMaterialCutsCouple()->
                       GetMaterial()->GetRadlen() ;
         G4double xx0 = truestep/X0 ;
         G4double betacp = KineticEnergy*(KineticEnergy+2.*Mass)/
                          (KineticEnergy+Mass) ;
         G4double theta0=c_highland*Q*sqrt(xx0)*
                         (1.+corr_highland*log(xx0))/betacp ;
         if(theta0 > tausmall)
           a = 0.5/(1.-cos(theta0)) ;
         else
           a = 1./(theta0*theta0) ;
       }
       else
       {
         w = log(tau/tau0) ;
         if(tau < tau0)
           a = (alfa1-alfa2*w)/tau ;
         else
           a = (alfa1+alfa3*w)/tau ;
       }

       xmeanth = exp(-tau) ;

       x0 = 1.-xsi/a ;
       if(x0 < -1.) x0 = -1. ;

       if(x0 == -1.)
       {
         // 1 model fuction only
         // in order to have xmean1 > xmeanth -> qprob < 1
         if((1.-1./a) < xmeanth)
           a = 1./(1.-xmeanth) ;

         if(a*(1.-x0) < amax)
           ea = exp(-a*(1.-x0)) ;
         else
           ea = 0. ;
         eaa = 1.-ea ; 
         xmean1 = 1.-1./a+(1.-x0)*ea/eaa ;

         c = 2. ;
         b1 = b+1. ;
         bx = b1 ;
         eb1 = b1 ;
         ebx = b1 ;
         xmean2 = 0. ;

         prob = 1. ;
         qprob = xmeanth/xmean1 ;
       }
       else
       {
         // 2 model fuctions 
         // in order to have xmean1 > xmeanth 
         if((1.-x1fac2/a) < xmeanth)
         {
           a = x1fac3*x1fac2/(1.-xmeanth) ;
           if(a*(1.-x0) < amax)
             ea = exp(-a*(1.-x0)) ;
           else
             ea = 0. ;
           eaa = 1.-ea ; 
           xmean1 = 1.-1./a+(1.-x0)*ea/eaa ;
         }
         else
         {
           ea = x1fac1 ;
           eaa = 1.-x1fac1 ;
           xmean1 = 1.-x1fac2/a ;
         }

         // from continuity of the 1st derivatives
         c = a*(b-x0) ;
         if(a*tau < c0)
          c = c0*(b-x0)/tau ;

         if(c == 1.) c=1.000001 ;
         if(c == 2.) c=2.000001 ;
         if(c == 3.) c=3.000001 ;

         b1 = b+1. ;
         bx=b-x0 ;
         eb1=exp((c-1.)*log(b1)) ;
         ebx=exp((c-1.)*log(bx)) ;
         xmean2 = (x0*eb1+ebx+(eb1*bx-b1*ebx)/(2.-c))/(eb1-ebx) ;

         cnorm1 = a/eaa ;
         f1x0 = cnorm1*exp(-a*(1.-x0)) ;
         cnorm2 = (c-1.)*eb1*ebx/(eb1-ebx) ;
         f2x0 = cnorm2/exp(c*log(b-x0)) ;

         // from continuity at x=x0
         prob = f2x0/(f1x0+f2x0) ;
         // from xmean = xmeanth
         qprob = (f1x0+f2x0)*xmeanth/(f2x0*xmean1+f1x0*xmean2) ;
       }

       // protection against prob or qprob > 1 and
       //  prob or qprob < 0
       // ***************************************************************
       if((qprob > 1.) || (qprob < 0.) || (prob > 1.) || (prob < 0.))
       {
         // this print possibility has been left intentionally
         // for debugging purposes ..........................
         G4bool pr = false ;
        //         pr = true ;
         if(pr)
         {
           const G4double prlim = 0.10 ;
           if((fabs((xmeanth-xmean2)/(xmean1-xmean2)-prob)/prob > prlim) ||
              ((xmeanth-xmean2)/(xmean1-xmean2) > 1.) ||
              ((xmeanth-xmean2)/(xmean1-xmean2) < 0.) )
           {
             G4cout.precision(5) ;
             G4cout << "\nparticle=" << aParticle->GetDefinition()->
                       GetParticleName() << " in material "
                    << trackData.GetMaterialCutsCouple()->
                       GetMaterial()->GetName() << " with kinetic energy "
                    << KineticEnergy << " MeV," << G4endl ;
             G4cout << " step length="
                    << truestep << " mm" << G4endl ;
             G4cout << "p=" << prob << "  q=" << qprob << " -----> " 
                    << "p=" << (xmeanth-xmean2)/(xmean1-xmean2)
                    << "  q=" << 1. << G4endl ;
           }        
         } 
         qprob = 1. ;
         prob = (xmeanth-xmean2)/(xmean1-xmean2) ;
       }
       // **************************************************************

       // sampling of costheta
       if(G4UniformRand() < qprob)
       {
         if(G4UniformRand() < prob)
          cth = 1.+log(ea+G4UniformRand()*eaa)/a ;
         else
          cth = b-b1*bx/exp(log(ebx-G4UniformRand()*(ebx-eb1))/(c-1.)) ;
       }
       else
         cth = -1.+2.*G4UniformRand() ; 
      }

      
      // TAO if Kenergy<100*keV use Meyer
      if(KineticEnergy<100*keV &&
	 trackData.GetMaterialCutsCouple()->
	 GetMaterial()->GetNumberOfElements()==1&&
	 stepData.GetPreStepPoint()->GetPhysicalVolume()->
	 GetName()=="pv_CFOIL"
	 )
	{
	  
	  /*	  G4cout << "\nparticle=" << aParticle->GetDefinition()->
	    GetParticleName() << " in material "
		 << trackData.GetMaterialCutsCouple()->
	    GetMaterial() ->GetName() << " with kinetic energy "
		 << KineticEnergy << " MeV," << G4endl ;
	  */

	  G4double Z1, Z2;
	  G4double m1, m2, proton_mass;
	  proton_mass=938.28*MeV;
	  Z1=aParticle->GetDefinition()->GetPDGCharge();
	  Z2=trackData.GetMaterialCutsCouple()->
	    GetMaterial()->GetZ();
	  
	  m1=aParticle->GetDefinition()->GetPDGMass()/proton_mass;
	  m2=2*Z2;

	  /*
	  	  G4cout << "\nparticle mass  = " << m1 
		 << "\nparticle charge= " << Z1 
		 << "\nmaterial mass  = " << m2
		 << "\nmaterial charge= " << Z2
		 << G4endl ;
	  */	  


	  //MEYERS FACTORS
	  
	  meyer meyer;
	  double thetaSchlange,thetaSchlangeMax;
	  double theta,thetaMax;
	  double f1,f2,F;
	  
	  
	  //---------------------------------
	  //- Parameters:
	  double a0;                  //      ! Bohrscher Radius in cm
	  a0 = 5.29E-9;//unit == centimeter
	  double screeningPar;        //      ! Screeningparameter "a" in cm fuer Teilchen der
	  //      ! Kernladungszahl Z1=1 in Kohlenstoff (Z2 = 6)
	  //      ! bei Streichung von Z1 (vgl. Referenz, S. 268)
	  double r0Meyer;             //      ! r0(C) berechnet aus dem screeningParameter "a"
	  //      ! und dem ebenfalls bei Meyer angegebenem
	  //      ! Verhaeltnis a/r0=0.26 (vgl. Referenz, S. 263 oben)
	  double eSquare;             //      ! elektrische Ladung zum Quadrat in keV*cm
	  double Pi	;             //      ! die Kreiszahl
	  
	  // MEYER NO UNIT NUMBERS	
	  double Ekin= KineticEnergy/keV;
	  double thick= LEMuSRDetectorConstruction::GetInstance()->cfthk;
	  
	  //the screening parameter
	  double D= exp(2/3*log(Z1))+exp(2/3*log(Z2));
	  double a_=0.885*a0/sqrt(D);
	  screeningPar=a_;      //  screeningPar = 2.5764E-9;

	  r0Meyer = 9.909E-9;  
	  eSquare = 1.44E-10;
	  Pi = 3.141592654;
	  
	  double Meyer_faktor3;
	  double Meyer_faktor4;
	  double zzz;//	    ! "Hilfsparameter"
	  double Meyer_faktor5;

	  Meyer_faktor3 = (screeningPar/r0Meyer) * (screeningPar/r0Meyer);
	  
	  Meyer_faktor4 = (m1+m2)/m2/2.;
	  //	  std::cout<<"MEYER_F4 "<<Meyer_faktor4<<std::endl;
	  double  N=1.0e+23;
	  thick = thick*M_PI*a_*a_*N*1.e-6/2.;// whith the thickness 
	                                   // in centimeter, 
                                           // so multiply thick by 1e-6
	                                   // and divide by the density
	                                   // of graphite which is 2.g/cm³

	  //	  std::cout<<"reduced thick " <<thick<<" "<<std::endl;
	  // korrekt
	  //((1./9.+12.)/12.)/2. ;// TAO m1+m2/m2/2.
	  // in meyer article, we then have b= mf4/Ekine1= (m1+m2)/(m2*2*m1*v1²)
	  zzz = screeningPar / (2.*Z1*Z2*eSquare);
	  Meyer_faktor5 = zzz*zzz / (8*Pi*Pi);

	  //	  std::cout<< "Ekin "<<Ekin <<std::endl;	
	  
	  double Meyer_epsilon=screeningPar/(2.*Z1*Z2*eSquare*Meyer_faktor4/Ekin);// the reduced energy
	  //	  std::cout<< "Meyer_epsilon: "<<Meyer_epsilon <<std::endl;
	  //Meyer methods
	  G4double rnd1, rnd2, thetarnd;
	  G4int j;
	  j=0;
	  theta=0.;
	  thetaSchlangeMax=0.;
	  // GET MAXIMAL ANGLE
	  if (thick<0.2) 
	    {
	      std::cout<< "Subroutine ''Get_F_Function_Meyer'':"<<std::endl;
	      std::cout<< "Effektive Dicke ist kleiner als 0.2 => kann ich nicht ... => STOP"<<std::endl;
	      //std::cout<<"thick " <<thick<<" mum "<<std::endl;
		      // getchar();
	    }
	  else if (thick<=2.)
	    {
	      //	    ! => Tabelle A
	      thetaSchlangeMax = 4.0;
	    }
	  else if (thick<=8.)
	    {
	      //! => Tabelle B
	      thetaSchlangeMax = 7.0;
	    }
	  else if (thick<=20.)
	    {
	      //! => Tabelle C
	      thetaSchlangeMax = 20.0;
	    }
	  else
	    {
	      std::cout<< "Subroutine ''Get_F_Function_Meyer'':"<<std::endl;
	      std::cout<< "Effektive Dicke ist groesser als 20 => kann ich nicht ... => STOP"<<std::endl;
	    }
	  //  std::cout<< "M4:   "<<Meyer_faktor4<<std::endl;
	  //  std::cout<< "Meyer_epsilon: "<<Meyer_epsilon <<std::endl;	
  thetaMax = thetaSchlangeMax / Meyer_faktor4 / Meyer_epsilon/M_PI*180;
  //  std::cout<< "thetamax: "<<thetaMax <<std::endl;	

 	  do
	    {
	      thetarnd = G4UniformRand()*thetaMax;// random angle in degree
	      //	      std::cout<<"thetarnd " <<thetarnd <<" deg "<<std::endl;
	      rnd1 = G4UniformRand();
	      rnd2 = G4UniformRand();
	      
	      thetaSchlange = Meyer_faktor4 *Meyer_epsilon * thetarnd  *M_PI/180;//in rad
	      meyer.F_Functions_Meyer(thick,thetaSchlange,&f1,&f2);
	      meyer.Get_F_Function(thick, thetarnd,Meyer_epsilon, Z1, Z2, m1, m2, &F);
	      if(rnd1<F)theta=thetarnd;
	      //	      std::cout<<"thick " <<thick<<" mum "<<std::endl;
	      //	      std::cout<<"theta " <<theta <<" rad "<<std::endl;
	      //	      std::cout<<"rnd " << rnd1 <<" F "<<F<<std::endl;
	      
	    }while(rnd1>F);
	  //	  std::cout<<"theta " <<theta <<" deg "<<std::endl;
	  theta=theta/180.*M_PI;//IMPORTANT CONVERT THETA INRADIAN BEFORE COSINE!
	    cth = cos(theta);
	  
	}
      

    }
    
  G4double sth  = sqrt(1.-cth*cth);
  G4double phi  = twopi*G4UniformRand();
  G4double dirx = sth*cos(phi), diry = sth*sin(phi), dirz = cth;

  G4ParticleMomentum ParticleDirection = aParticle->GetMomentumDirection();

  G4ThreeVector newDirection(dirx,diry,dirz);
  newDirection.rotateUz(ParticleDirection);
  fParticleChange.ProposeMomentumDirection(newDirection.x(),
                                    newDirection.y(),
                                    newDirection.z());

  if (fLatDisplFlag)
    {
      // compute mean lateral displacement, only for safety > tolerance !
      G4double safetyminustolerance = stepData.GetPostStepPoint()->GetSafety();
      G4double rmean, etau;

      if (safetyminustolerance > 0.)
      {
        if     (tau < tausmall)  rmean = 0.;
        else if(tau < taulim) rmean = kappa*tau*tau*tau*(1.-kappapl1*tau/4.)/6.;
        else
        {
          if(tau<taubig) etau = exp(-tau);
          else           etau = 0.;
          rmean = -kappa*tau;
          rmean = -exp(rmean)/(kappa*kappami1);
          rmean += tau-kappapl1/kappa+kappa*etau/kappami1;
        }

        if (rmean>0.) rmean = 2.*lambda0*sqrt(rmean/3.);
        else          rmean = 0.;

        // for rmean > 0) only
        if (rmean > 0.)
        {
          if (rmean>safetyminustolerance) rmean = safetyminustolerance;

          // sample direction of lateral displacement
          phi  = twopi*G4UniformRand();
          dirx = cos(phi); diry = sin(phi); dirz = 0.;

          G4ThreeVector latDirection(dirx,diry,dirz);
          latDirection.rotateUz(ParticleDirection);

          // compute new endpoint of the Step
	  G4ThreeVector newPosition = stepData.GetPostStepPoint()->GetPosition()
					    + rmean*latDirection;

	  G4Navigator* navigator =
	                   G4TransportationManager::GetTransportationManager()
			   ->GetNavigatorForTracking();
	  navigator->LocateGlobalPointWithinVolume(newPosition);

	  fParticleChange.ProposePosition(newPosition);
        }
      }
    }
  }

  return &fParticleChange;
}

//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......

void LEMuSRMSC::PrintInfoDefinition()
{
  G4String comments = " Tables of transport mean free paths.";
        comments += "\n          New model of MSC , computes the lateral \n";
        comments += "          displacement of the particle , too.";

  G4cout << G4endl << GetProcessName() << ":  " << comments
         << "\n        PhysicsTables from " 
	           << G4BestUnit(LowestKineticEnergy ,"Energy")
         << " to " << G4BestUnit(HighestKineticEnergy,"Energy")
         << " in " << TotBin << " bins. \n";
}

//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
