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// The lust update: M.V. Kossov, CERN/ITEP(Moscow) 17-June-02
// GEANT4 tag $Name: geant4-09-02-ref-02 $
//
//
// G4 Physics class: G4QProtonNuclearCrossSection for gamma+A cross sections
// Created: M.V. Kossov, CERN/ITEP(Moscow), 20-Dec-03
// The last update: M.V. Kossov, CERN/ITEP (Moscow) 15-Feb-04
// --------------------------------------------------------------------------------
// ****************************************************************************************
// ***** This HEADER is a property of the CHIPS hadronic package in Geant4 (M. Kosov) *****
// *********** DO NOT MAKE ANY CHANGE without approval of Mikhail.Kossov@cern.ch **********
// ****************************************************************************************
//
//#define debug
//#define pdebug
//#define debug3
//#define debugn
//#define debugs

#include "G4QProtonNuclearCrossSection.hh"

// Initialization of the
G4double* G4QProtonNuclearCrossSection::lastLEN=0; // Pointer to the lastArray of LowEn CS
G4double* G4QProtonNuclearCrossSection::lastHEN=0; // Pointer to the lastArray of HighEn CS
G4int     G4QProtonNuclearCrossSection::lastN=0;   // The last N of calculated nucleus
G4int     G4QProtonNuclearCrossSection::lastZ=0;   // The last Z of calculated nucleus
G4double  G4QProtonNuclearCrossSection::lastP=0.;  // Last used in cross section Momentum
G4double  G4QProtonNuclearCrossSection::lastTH=0.; // Last threshold momentum
G4double  G4QProtonNuclearCrossSection::lastCS=0.; // Last value of the Cross Section
G4int     G4QProtonNuclearCrossSection::lastI=0;   // The last position in the DAMDB

// Returns Pointer to the G4VQCrossSection class
G4VQCrossSection* G4QProtonNuclearCrossSection::GetPointer()
{
  static G4QProtonNuclearCrossSection theCrossSection; //**Static body of Cross Section**
  return &theCrossSection;
}

// The main member function giving the collision cross section (P is in IU, CS is in mb)
// Make pMom in independent units ! (Now it is MeV)
G4double G4QProtonNuclearCrossSection::GetCrossSection(G4bool fCS, G4double pMom,
                                                       G4int tgZ, G4int tgN, G4int)
{
  static G4int j;                      // A#0f records found in DB for this projectile
  static std::vector <G4int>    colN;  // Vector of N for calculated nuclei (isotops)
  static std::vector <G4int>    colZ;  // Vector of Z for calculated nuclei (isotops)
  static std::vector <G4double> colP;  // Vector of last momenta for the reaction
  static std::vector <G4double> colTH; // Vector of energy thresholds for the reaction
  static std::vector <G4double> colCS; // Vector of last cross sections for the reaction
  // ***---*** End of the mandatory Static Definitions of the Associative Memory ***---***
  G4double pEn=pMom;
#ifdef pdebug
  G4cout<<"G4QPrCS::GetCS:>>> f="<<fCS<<", p="<<pMom<<", Z="<<tgZ<<"("<<lastZ<<") ,N="<<tgN
        <<"("<<lastN<<"),PDG=2212, P="<<pEn<<"("<<lastTH<<")"<<",Sz="<<colN.size()<<G4endl;
#endif
  G4bool in=false;                     // By default the isotope must be found in the AMDB
  if(tgN!=lastN || tgZ!=lastZ)         // The nucleus was not the last used isotope
  {
    in = false;                        // By default the isotope haven't be found in AMDB  
    lastP   = 0.;                      // New momentum history (nothing to compare with)
    lastN   = tgN;                     // The last N of the calculated nucleus
    lastZ   = tgZ;                     // The last Z of the calculated nucleus
    lastI   = colN.size();             // Size of the Associative Memory DB in the heap
    j  = 0;                            // A#0f records found in DB for this projectile
    if(lastI) for(G4int i=0; i<lastI; i++) // The partType is found
	   {                                  // The nucleus with is found in AMDB
      if(colN[i]==tgN && colZ[i]==tgZ)
						{
        lastI=i;
        lastTH =colTH[i];                // Last THreshold (A-dependent)
#ifdef pdebug
        G4cout<<"G4QPrCS::GetCS:*Found* P="<<pMom<<",Threshold="<<lastTH<<",j="<<j<<G4endl;
#endif
        if(pEn<=lastTH)
        {
#ifdef pdebug
          G4cout<<"G4QPrCS::GetCS:Found T="<<pEn<<" < Threshold="<<lastTH<<",CS=0"<<G4endl;
#endif
          return 0.;                     // Energy is below the Threshold value
        }
        lastP  =colP [i];                // Last Momentum  (A-dependent)
        lastCS =colCS[i];                // Last CrossSect (A-dependent)
	//        if(std::fabs(lastP/pMom-1.)<tolerance)
        if(lastP==pMom)                  // VI do not use tolerance
        {
#ifdef pdebug
          G4cout<<"G4QPrCS::GetCS:P="<<pMom<<",CS="<<lastCS*millibarn<<G4endl;
#endif
          CalculateCrossSection(fCS,-1,j,2212,lastZ,lastN,pMom); // Update param's only
          return lastCS*millibarn;     // Use theLastCS
        }
        in = true;                       // This is the case when the isotop is found in DB
        // Momentum pMom is in IU ! @@ Units
#ifdef pdebug
        G4cout<<"G4QPrCS::G:UpdatDB P="<<pMom<<",f="<<fCS<<",lI="<<lastI<<",j="<<j<<G4endl;
#endif
        lastCS=CalculateCrossSection(fCS,-1,j,2212,lastZ,lastN,pMom); // read & update
#ifdef pdebug
        G4cout<<"G4QPrCS::GetCrosSec: *****> New (inDB) Calculated CS="<<lastCS<<G4endl;
#endif
        if(lastCS<=0. && pEn>lastTH)    // Correct the threshold
        {
#ifdef pdebug
          G4cout<<"G4QPrCS::GetCS: New T="<<pEn<<"(CS=0) > Threshold="<<lastTH<<G4endl;
#endif
          lastTH=pEn;
        }
        break;                           // Go out of the LOOP
      }
#ifdef pdebug
      G4cout<<"-->G4QPrCrossSec::GetCrosSec: pPDG=2212, j="<<j<<", N="<<colN[i]
            <<",Z["<<i<<"]="<<colZ[i]<<G4endl;
#endif
      j++;                             // Increment a#0f records found in DB
	   }
	   if(!in)                            // This nucleus has not been calculated previously
	   {
#ifdef pdebug
      G4cout<<"G4QPrCS::GetCrosSec:CalcNew P="<<pMom<<",f="<<fCS<<",lastI="<<lastI<<G4endl;
#endif
      //!!The slave functions must provide cross-sections in millibarns (mb) !! (not in IU)
      lastCS=CalculateCrossSection(fCS,0,j,2212,lastZ,lastN,pMom); //calculate & create
      if(lastCS<=0.)
						{
        lastTH = ThresholdEnergy(tgZ, tgN); // The Threshold Energy which is now the last
#ifdef pdebug
        G4cout<<"G4QPrCrossSection::GetCrossSect: NewThresh="<<lastTH<<",T="<<pEn<<G4endl;
#endif
        if(pEn>lastTH)
        {
#ifdef pdebug
          G4cout<<"G4QPrCS::GetCS: First T="<<pEn<<"(CS=0) > Threshold="<<lastTH<<G4endl;
#endif
          lastTH=pEn;
        }
						}
#ifdef pdebug
      G4cout<<"G4QPrCS::GetCrosSec: New CS="<<lastCS<<",lZ="<<lastN<<",lN="<<lastZ<<G4endl;
#endif
      colN.push_back(tgN);
      colZ.push_back(tgZ);
      colP.push_back(pMom);
      colTH.push_back(lastTH);
      colCS.push_back(lastCS);
#ifdef pdebug
      G4cout<<"G4QPrCS::GetCS:1st,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
#endif
      return lastCS*millibarn;
	   } // End of creation of the new set of parameters
    else
				{
#ifdef pdebug
      G4cout<<"G4QPrCS::GetCS: Update lastI="<<lastI<<",j="<<j<<G4endl;
#endif
      colP[lastI]=pMom;
      colCS[lastI]=lastCS;
    }
  } // End of parameters udate
  else if(pEn<=lastTH)
  {
#ifdef pdebug
    G4cout<<"G4QPrCS::GetCS: Current T="<<pEn<<" < Threshold="<<lastTH<<", CS=0"<<G4endl;
#endif
    return 0.;                         // Momentum is below the Threshold Value -> CS=0
  }
  //  else if(std::fabs(lastP/pMom-1.)<tolerance)
  else if(lastP==pMom)                // VI do not use tolerance
  {
#ifdef pdebug
    G4cout<<"G4QPrCS::GetCS:OldCur P="<<pMom<<"="<<pMom<<", CS="<<lastCS*millibarn<<G4endl;
#endif
    return lastCS*millibarn;     // Use theLastCS
  }
  else
  {
#ifdef pdebug
    G4cout<<"G4QPrCS::GetCS:UpdatCur P="<<pMom<<",f="<<fCS<<",I="<<lastI<<",j="<<j<<G4endl;
#endif
    lastCS=CalculateCrossSection(fCS,1,j,2212,lastZ,lastN,pMom); // Only UpdateDB
    lastP=pMom;
  }
#ifdef pdebug
  G4cout<<"G4QPrCS::GetCroSec:End,P="<<pMom<<"(MeV),CS="<<lastCS*millibarn<<"(mb)"<<G4endl;
#endif
  return lastCS*millibarn;
}

// The main member function giving the gamma-A cross section (E in GeV, CS in mb)
G4double G4QProtonNuclearCrossSection::CalculateCrossSection(G4bool, G4int F, G4int I,
                                        G4int, G4int targZ, G4int targN, G4double Momentum)
{
  static const G4double THmin=27.;     // minimum Momentum (MeV/c) Threshold
  static const G4double THmiG=THmin*.001; // minimum Momentum (GeV/c) Threshold
  static const G4double dP=10.;        // step for the LEN (Low ENergy) table MeV/c
  static const G4double dPG=dP*.001;   // step for the LEN (Low ENergy) table GeV/c
  static const G4int    nL=105;        // A#of LEN points in E (step 10 MeV/c)
  static const G4double Pmin=THmin+(nL-1)*dP; // minP for the HighE part with safety
  static const G4double Pmax=227000.;  // maxP for the HEN (High ENergy) part 227 GeV
  static const G4int    nH=224;        // A#of HEN points in lnE
  static const G4double milP=std::log(Pmin);// Low logarithm energy for the HEN part
  static const G4double malP=std::log(Pmax);// High logarithm energy (each 2.75 percent)
  static const G4double dlP=(malP-milP)/(nH-1); // Step in log energy in the HEN part
  static const G4double milPG=std::log(.001*Pmin);// Low logarithm energy for the HEN part GeV/c
  //
  // Associative memory for acceleration
  //static std::vector <G4double>  spA;  // shadowing coefficients (A-dependent)
  static std::vector <G4double*> LEN;  // Vector of pointers to LowEnProtonCrossSection
  static std::vector <G4double*> HEN;  // Vector of pointers to HighEnProtonCrossSection
#ifdef debug
  G4cout<<"G4QProtonNuclearCS::CalcCS: N="<<targN<<",Z="<<targZ<<",P="<<Momentum<<G4endl;
#endif
  if (Momentum<THmin) return 0.;       // @@ This can be dangerouse for the heaviest nuc.!
  G4double sigma=0.;
  if(F&&I) sigma=0.;                   // @@ *!* Fake line *!* to use F & I !!!Temporary!!!
  G4double A=targN+targZ;              // A of the target
  if(F<=0)                           // This isotope was not the last used isotop
  {
    if(F<0)                          // This isotope was found in DAMDB =========> RETRIEVE
				{
      lastLEN=LEN[I];                // Pointer to prepared LowEnergy cross sections
      lastHEN=HEN[I];                // Pointer to prepared High Energy cross sections
    }
	   else                             // This isotope wasn't calculated previously => CREATE
	   {
      lastLEN = new G4double[nL];    // Allocate memory for the new LEN cross sections
      lastHEN = new G4double[nH];    // Allocate memory for the new HEN cross sections
      // --- Instead of making a separate function ---
      G4double P=THmiG;              // Table threshold in GeV/c
      for(G4int m=0; m<nL; m++)
      {
        lastLEN[m] = CrossSectionLin(targZ, targN, P);
        P+=dPG;
      }
      G4double lP=milPG;
      for(G4int n=0; n<nH; n++)
      {
        lastHEN[n] = CrossSectionLog(targZ, targN, lP);
        lP+=dlP;
      }
      // --- End of possible separate function
      // *** The synchronization check ***
      G4int sync=LEN.size();
      if(sync!=I) G4cerr<<"**G4QPhortonNuclCS::CalcCrossSect: Sync="<<sync<<"#"<<I<<G4endl;
      LEN.push_back(lastLEN);          // added LEN, found by AH 10/7/02
      HEN.push_back(lastHEN);          // added HEN, found by AH 10/7/02
	   } // End of creation of the new set of parameters
  } // End of parameters udate
  // ============================== NOW the Magic Formula =================================
  if (Momentum<lastTH) return 0.;      // It must be already checked in the interface class
  else if (Momentum<Pmin)                     // High Energy region
  {
#ifdef debug
	   G4cout<<"G4QPrNCS::CalcCS:bLEN A="<<A<<", nL="<<nL<<",TH="<<THmin<<",dP="<<dP<<G4endl;
#endif
    if(A<=1.) sigma=0.;
    else      sigma=EquLinearFit(Momentum,nL,THmin,dP,lastLEN);
#ifdef debugn
	   if(sigma<0.)
      G4cout<<"G4QPrNuCS::CalcCS:A="<<A<<",E="<<Momentum<<",T="<<THmin<<",dP="<<dP<<G4endl;
#endif
  }
  else if (Momentum<Pmax)                     // High Energy region
  {
    G4double lP=std::log(Momentum);
#ifdef debug
    G4cout<<"G4QProtNucCS::CalcCS: before HEN nH="<<nH<<",iE="<<milP<<",dlP="<<dlP<<G4endl;
#endif
    sigma=EquLinearFit(lP,nH,milP,dlP,lastHEN);
  }
  else                                      // UHE region (calculation, not frequent)
  {
    G4double P=0.001*Momentum;              // Approximation formula is for P in GeV/c
    sigma=CrossSectionFormula(targZ, targN, P, std::log(P));
  }
#ifdef debug
  G4cout<<"G4QProtonNuclearCrossSection::CalcCS: sigma="<<sigma<<G4endl;
#endif
  if(sigma<0.) return 0.;
  return sigma;
}

// Electromagnetic momentum-threshold (in MeV/c) 
G4double G4QProtonNuclearCrossSection::ThresholdMomentum(G4int tZ, G4int tN)
{
  static const G4double third=1./3.;
  static const G4double pM = G4QPDGCode(2212).GetMass(); // Proton mass in MeV
  static const G4double tpM= pM+pM;       // Doubled proton mass (MeV)
  G4double tA=tZ+tN;
  if(tZ<.99 || tN<0.) return 0.;
  //G4double dE=1.263*tZ/(1.+std::pow(tA,third));
  G4double dE=tZ/(1.+std::pow(tA,third)); // Safety for diffused edge of the nucleus (QE)
  return std::sqrt(dE*(tpM+dE));
}

// Calculation formula for proton-nuclear inelastic cross-section (mb) (P in GeV/c)
G4double G4QProtonNuclearCrossSection::CrossSectionLin(G4int tZ, G4int tN, G4double P)
{
  G4double sigma=0.;
  if(P<ThresholdMomentum(tZ,tN)*.001) return sigma;
  G4double lP=std::log(P);
  if(tZ==1&&!tN){if(P>.35) sigma=CrossSectionFormula(tZ,tN,P,lP);}// s(pp)=0 below 350Mev/c
  else if(tZ<93 && tN<239)                // General solution
  {
    G4double pex=0.;
    G4double pos=0.;
    G4double wid=1.;
    if(tZ==13 && tN==14)                  // Excited metastable states
    {
      pex=230.;
      pos=.13;
      wid=8.e-5;
    }
    else if(tZ<7)
    {
      if(tZ==6 && tN==6)
      {
        pex=320.;
        pos=.14;
        wid=7.e-6;
      }
      else if(tZ==4 && tN==5)
      {
        pex=600.;
        pos=.132;
        wid=.005;
      }
      else if(tZ==3 && tN==4)
      {
        pex=280.;
        pos=.19;
        wid=.0025;
      }
      else if(tZ==3 && tN==3)
      {
        pex=370.;
        pos=.171;
        wid=.006;
      }
      else if(tZ==2 && tN==1)
      {
        pex=30.;
        pos=.22;
        wid=.0005;
      }
    }
    sigma=CrossSectionFormula(tZ,tN,P,lP);
    if(pex>0.)
    {
      G4double dp=P-pos;
      sigma+=pex*std::exp(dp*dp/wid);
    }
  }
  else
  {
    G4cerr<<"-Warning-G4QProtonNuclearCroSect::CSLin:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
    sigma=0.;
  }
  if(sigma<0.) return 0.;
  return sigma;  
}

// Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
G4double G4QProtonNuclearCrossSection::CrossSectionLog(G4int tZ, G4int tN, G4double lP)
{
  G4double P=std::exp(lP);
  return CrossSectionFormula(tZ, tN, P, lP);
}
// Calculation formula for proton-nuclear inelastic cross-section (mb) log(P in GeV/c)
G4double G4QProtonNuclearCrossSection::CrossSectionFormula(G4int tZ, G4int tN,
                                                           G4double P, G4double lP)
{
  G4double sigma=0.;
  if(tZ==1 && !tN)                        // pp interaction
  {
    G4double sp=std::sqrt(P);
    G4double ds=lP-4.2;
    G4double dp=P-.35;
    G4double d3=dp*dp*dp;
    sigma=(33.+.2*ds*ds)/(1.+.4/sp)/(1.+.5/d3/d3);
  }
  else if(tZ<93 && tN<146)                // General solution
  {
    G4double lP=std::log(P);
    G4double d=lP-4.2;
    G4double p2=P*P;
    G4double p4=p2*p2;
    G4double a=tN+tZ;                       // A of the target
    G4double al=std::log(a);
    G4double a2=a*a;
    G4double a4=a2*a2;
    G4double a8=a4*a4;
    G4double a12=a8*a4;
    G4double a16=a8*a8;
    G4double c=170./(1.+5./std::exp(al*1.6));
    G4double dl=al-2.8;
    G4double r=.3+.2*dl*dl;
    G4double g=40.*std::exp(al*0.712)/(1.+12.2/a)/(1.+34./a2);
    G4double e=318.+a4/(1.+.0015*a4/std::exp(al*0.09))/(1.+4.e-28*a12)+
               8.e-18/(1./a16+1.3e-20)/(1.+1.e-21*a12);
    G4double s=3.57+.009*a2/(1.+.0001*a2*a);
    G4double h=(.01/a4+2.5e-6/a)*(1.+7.e-8*a4)/(1.+6.e7/a12/a2);
    sigma=(c+d*d)/(1.+r/p4)+(g+e*std::exp(-s*P))/(1.+h/p4/p4);
  }
  else
  {
    G4cerr<<"-Warning-G4QProtonNuclearCroSect::CSForm:*Bad A* Z="<<tZ<<", N="<<tN<<G4endl;
    sigma=0.;
  }
  if(sigma<0.) return 0.;
  return sigma;  
}