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geant4/source/parameterisations/gflash/src/GFlashSamplingShowerParameterisation.cc
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//
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//
//
// ------------------------------------------------------------
// GEANT 4 class implementation
//
// ------- GFlashSamplingShowerParameterisation -------
//
// Authors: E.Barberio & Joanna Weng - 11.2005
// ------------------------------------------------------------
#include <cmath>
#include "GFlashSamplingShowerParameterisation.hh"
#include "GVFlashShowerParameterisation.hh"
#include "G4SystemOfUnits.hh"
#include "Randomize.hh"
#include "G4ios.hh"
#include "G4Material.hh"
#include "G4MaterialTable.hh"
GFlashSamplingShowerParameterisation::GFlashSamplingShowerParameterisation(
G4Material* aMat1, G4Material* aMat2, G4double dd1, G4double dd2,
GFlashSamplingShowerTuning* aPar)
: GVFlashShowerParameterisation(),
ParAveT2(0.),
ParSigLogT1(0.),
ParSigLogT2(0.),
ParSigLogA1(0.),
ParSigLogA2(0.),
ParRho1(0.),
ParRho2(0.),
ParsAveA2(0.),
AveLogAlphah(0.),
AveLogTmaxh(0.),
SigmaLogAlphah(0.),
SigmaLogTmaxh(0.),
Rhoh(0.),
Alphah(0.),
Tmaxh(0.),
Betah(0.),
AveLogAlpha(0.),
AveLogTmax(0.),
SigmaLogAlpha(0.),
SigmaLogTmax(0.),
Rho(0.),
Alpha(0.),
Tmax(0.),
Beta(0.)
{
if (!aPar) {
thePar = new GFlashSamplingShowerTuning;
}
else {
thePar = aPar;
}
SetMaterial(aMat1, aMat2);
d1 = dd1;
d2 = dd2;
// Longitudinal Coefficients for a homogenious calo
// shower max
ParAveT1 = thePar->ParAveT1(); // ln (ln y -0.812)
ParAveA1 = thePar->ParAveA1(); // ln a (0.81 + (0.458 + 2.26/Z)ln y)
ParAveA2 = thePar->ParAveA2();
ParAveA3 = thePar->ParAveA3();
// Variance of shower max sampling
ParSigLogT1 =
thePar
->ParsSigLogT1(); // Sigma T1 (-1.4 + 1.26 ln y)**-1 --> bug : these two lines were missing,
ParSigLogT2 = thePar->ParsSigLogT2(); // leaving ParSigLogT1, ParSigLogT2 as 0.0
// variance of 'alpha'
ParSigLogA1 =
thePar
->ParSigLogA1(); // Sigma a (-0.58 + 0.86 ln y)**-1 --> bug : these two lines were missing
ParSigLogA2 = thePar->ParSigLogA2(); // leaving ParSigLogA1 ParSigLogAé as 0.0
// correlation alpha%T
ParRho1 = thePar->ParRho1(); // Rho = 0.705 -0.023 ln y --> bug : these two lines were missing,
ParRho2 = thePar->ParRho2(); // leaving ParRho1 and ParRho2 being 0.0
// Sampling
ParsAveT1 = thePar->ParsAveT1(); // T_sam = log(exp( log T_hom) + t1*Fs-1 + t2*(1-ehat));
ParsAveT2 = thePar->ParsAveT2();
ParsAveA1 = thePar->ParsAveA1();
// Variance of shower max sampling
ParsSigLogT1 = thePar->ParsSigLogT1(); // Sigma T1 (-2.5 + 1.25 ln y)**-1 --> bug ParSigLogT1()
// was called instead of ParsSigLogT1(); Same for T2.
ParsSigLogT2 = thePar->ParsSigLogT2();
// variance of 'alpha'
ParsSigLogA1 = thePar->ParsSigLogA1(); // Sigma a (-0.82 + 0.79 ln y)**-1 --> bug ParSigLogA1()
// was called instead of ParsSigLogA1(); Same for A2
ParsSigLogA2 = thePar->ParsSigLogA2();
// correlation alpha%T
ParsRho1 =
thePar->ParsRho1(); // Rho = 0.784 -0.023 ln y --> bug was using ParRho1() and ParRho2()
ParsRho2 = thePar->ParsRho2();
// Radial Coefficients
// r_C (tau)= z_1 +z_2 tau
// r_t (tau)= k1 (std::exp (k3(tau -k2 ))+std::exp (k_4 (tau- k_2))))
ParRC1 = thePar->ParRC1(); // z_1 = 0.0251 + 0.00319 ln E
ParRC2 = thePar->ParRC2();
ParRC3 = thePar->ParRC3(); // z_2 = 0.1162 + - 0.000381 Z
ParRC4 = thePar->ParRC4();
ParWC1 = thePar->ParWC1();
ParWC2 = thePar->ParWC2();
ParWC3 = thePar->ParWC3();
ParWC4 = thePar->ParWC4();
ParWC5 = thePar->ParWC5();
ParWC6 = thePar->ParWC6();
ParRT1 = thePar->ParRT1();
ParRT2 = thePar->ParRT2();
ParRT3 = thePar->ParRT3();
ParRT4 = thePar->ParRT4();
ParRT5 = thePar->ParRT5();
ParRT6 = thePar->ParRT6();
// additional sampling parameter
ParsRC1 = thePar->ParsRC1();
ParsRC2 = thePar->ParsRC2();
ParsWC1 = thePar->ParsWC1();
ParsWC2 = thePar->ParsWC2();
ParsRT1 = thePar->ParsRT1();
ParsRT2 = thePar->ParsRT2();
// Coeff for fluctuedted radial profiles for a sampling media
ParsSpotT1 = thePar->ParSpotT1(); // T_spot = T_hom =(0.698 + 0.00212)
ParsSpotT2 = thePar->ParSpotT2();
ParsSpotA1 = thePar->ParSpotA1(); // a_spot= a_hom (0.639 + 0.00334)
ParsSpotA2 = thePar->ParSpotA2();
ParsSpotN1 = thePar->ParSpotN1(); // N_Spot 93 * ln(Z) E ** 0.876
ParsSpotN2 = thePar->ParSpotN2();
SamplingResolution = thePar->SamplingResolution();
ConstantResolution = thePar->ConstantResolution();
NoiseResolution = thePar->NoiseResolution();
// Inits
NSpot = 0.00;
AlphaNSpot = 0.00;
TNSpot = 0.00;
BetaNSpot = 0.00;
RadiusCore = 0.00;
WeightCore = 0.00;
RadiusTail = 0.00;
ComputeZAX0EFFetc();
G4cout << "/********************************************/ " << G4endl;
G4cout << " - GFlashSamplingShowerParameterisation::Constructor - " << G4endl;
G4cout << "/********************************************/ " << G4endl;
}
// ------------------------------------------------------------
GFlashSamplingShowerParameterisation::~GFlashSamplingShowerParameterisation()
{
delete thePar;
}
// ------------------------------------------------------------
void GFlashSamplingShowerParameterisation::SetMaterial(G4Material* mat1, G4Material* mat2)
{
const G4double Es = 21.2 * MeV;
material1 = mat1;
Z1 = GetEffZ(material1);
A1 = GetEffA(material1);
density1 = material1->GetDensity();
X01 = material1->GetRadlen();
Ec1 = 2.66 * std::pow((X01 * Z1 / A1), 1.1);
// Ec1 = 610.0 * MeV / (Z1 + 1.24);
Rm1 = X01 * Es / Ec1;
material2 = mat2;
Z2 = GetEffZ(material2);
A2 = GetEffA(material2);
density2 = material2->GetDensity();
X02 = material2->GetRadlen();
Ec2 = 2.66 * std::pow((X02 * Z2 / A2), 1.1);
// Ec2 = 610.0 * MeV / (Z2 + 1.24);
Rm2 = X02 * Es / Ec2;
// PrintMaterial();
}
// ------------------------------------------------------------
void GFlashSamplingShowerParameterisation::ComputeZAX0EFFetc()
{
G4cout << "/************ ComputeZAX0EFFetc ************/" << G4endl;
G4cout << " - GFlashSamplingShowerParameterisation::Material - " << G4endl;
const G4double Es = 21.2 * MeV;
// material and geometry parameters for a sampling calorimeter
G4double denominator = (d1 * density1 + d2 * density2);
G4double W1 = (d1 * density1) / denominator;
G4double W2 = (d2 * density2) / denominator;
Zeff = (W1 * Z1) + (W2 * Z2); // X0*Es/Ec;
Aeff = (W1 * A1) + (W2 * A2);
Rhoeff = ((d1 * density1) + (d2 * density2)) / (d1 + d2); // --> was G4double ( d2 + d1 );
X0eff = (W1 * Rhoeff) / (X01 * density1) + (W2 * Rhoeff) / (X02 * density2);
X0eff = 1. / X0eff;
Rmeff = 1. / ((((W1 * Ec1) / X01) + ((W2 * Ec2) / X02)) / Es);
Eceff = X0eff * ((W1 * Ec1) / X01 + (W2 * Ec2) / X02);
Fs = X0eff / (d1 + d2); // --> was G4double ((d1/mm )+(d2/mm) ); Can't understand if dividing by
// mm makes sense... looks weird.
ehat = (1. / (1 + 0.007 * (Z1 - Z2)));
G4cout << "W1= " << W1 << G4endl;
G4cout << "W2= " << W2 << G4endl;
G4cout << "effective quantities Zeff = " << Zeff << G4endl;
G4cout << "effective quantities Aeff = " << Aeff << G4endl;
G4cout << "effective quantities Rhoeff = " << Rhoeff / g * cm3 << " g/cm3" << G4endl;
G4cout << "effective quantities X0eff = " << X0eff / cm << " cm" << G4endl;
X0eff = X0eff * Rhoeff;
G4cout << "effective quantities X0eff = " << X0eff / g * cm2 << " g/cm2" << G4endl;
X0eff = X0eff / Rhoeff;
G4cout << "effective quantities RMeff = " << Rmeff / cm << " cm" << G4endl;
Rmeff = Rmeff * Rhoeff;
G4cout << "effective quantities RMeff = " << Rmeff / g * cm2 << " g/cm2" << G4endl;
Rmeff = Rmeff / Rhoeff;
G4cout << "effective quantities Eceff = " << Eceff / MeV << " MeV" << G4endl;
G4cout << "effective quantities Fs = " << Fs << G4endl;
G4cout << "effective quantities ehat = " << ehat << G4endl;
G4cout << "/********************************************/ " << G4endl;
}
// ------------------------------------------------------------
void GFlashSamplingShowerParameterisation::GenerateLongitudinalProfile(G4double Energy)
{
if ((material1 == 0) || (material2 == 0)) {
G4Exception("GFlashSamplingShowerParameterisation::GenerateLongitudinalProfile()",
"InvalidSetup", FatalException, "No material initialized!");
}
G4double y = Energy / Eceff;
ComputeLongitudinalParameters(y);
GenerateEnergyProfile(y);
GenerateNSpotProfile(y);
}
// ------------------------------------------------------------
void GFlashSamplingShowerParameterisation::ComputeLongitudinalParameters(G4double y)
{
AveLogTmaxh = std::log(std::max(ParAveT1 + std::log(y), 0.1)); // ok
AveLogAlphah =
std::log(std::max(ParAveA1 + (ParAveA2 + ParAveA3 / Zeff) * std::log(y), 0.1)); // ok
// hom
SigmaLogTmaxh = std::min(0.5, 1.00 / (ParSigLogT1 + ParSigLogT2 * std::log(y))); // ok
SigmaLogAlphah = std::min(0.5, 1.00 / (ParSigLogA1 + ParSigLogA2 * std::log(y))); // ok
Rhoh = ParRho1 + ParRho2 * std::log(y); // ok
// if sampling
AveLogTmax =
std::max(0.1, std::log(std::exp(AveLogTmaxh) + ParsAveT1 / Fs + ParsAveT2 * (1 - ehat))); // ok
AveLogAlpha = std::max(0.1, std::log(std::exp(AveLogAlphah) + ParsAveA1 / Fs)); // ok
//
SigmaLogTmax = std::min(0.5, 1.00 / (ParsSigLogT1 + ParsSigLogT2 * std::log(y))); // ok
SigmaLogAlpha = std::min(0.5, 1.00 / (ParsSigLogA1 + ParsSigLogA2 * std::log(y))); // ok
Rho = ParsRho1 + ParsRho2 * std::log(y); // ok
if (0) {
G4cout << " y = " << y << G4endl;
G4cout << " std::log(std::exp(AveLogTmaxh) + ParsAveT1/Fs + ParsAveT2*(1-ehat)) = "
<< " std::log(" << std::exp(AveLogTmaxh) << " + " << ParsAveT1 / Fs << " + "
<< ParsAveT2 * (1 - ehat) << ") = "
<< " std::log(" << std::exp(AveLogTmaxh) << " + " << ParsAveT1 << "/" << Fs << " + "
<< ParsAveT2 << "*" << (1 - ehat) << ") = "
<< " std::log(" << std::exp(AveLogTmaxh) + ParsAveT1 / Fs + ParsAveT2 * (1 - ehat) << ")"
<< G4endl;
G4cout << " AveLogTmaxh " << AveLogTmaxh << G4endl;
G4cout << " AveLogAlphah " << AveLogAlphah << G4endl;
G4cout << " SigmaLogTmaxh " << SigmaLogTmaxh << G4endl;
G4cout << " 1.00/( ParSigLogT1 + ParSigLogT2*std::log(y) ) = " << 1.00 << "/"
<< (ParSigLogT1 + ParSigLogT2 * std::log(y)) << " = " << 1.00 << "/" << "("
<< ParSigLogT1 << " + " << ParSigLogT2 * std::log(y) << " ) = " << 1.00 << "/" << "("
<< ParSigLogT1 << " + " << ParSigLogT2 << "*" << std::log(y) << " ) " << G4endl;
G4cout << " SigmaLogAlphah " << SigmaLogAlphah << G4endl;
G4cout << " Rhoh " << Rhoh << G4endl;
G4cout << " AveLogTmax " << AveLogTmax << G4endl;
G4cout << " AveLogAlpha " << AveLogAlpha << G4endl;
G4cout << " SigmaLogTmax " << SigmaLogTmax << G4endl;
G4cout << " SigmaLogAlpha " << SigmaLogAlpha << G4endl;
G4cout << " Rho " << Rho << G4endl;
}
}
// ------------------------------------------------------------
void GFlashSamplingShowerParameterisation::GenerateEnergyProfile(G4double /* y */)
{
G4double Correlation1 = std::sqrt((1 + Rho) / 2);
G4double Correlation2 = std::sqrt((1 - Rho) / 2);
G4double Correlation1h = std::sqrt((1 + Rhoh) / 2);
G4double Correlation2h = std::sqrt((1 - Rhoh) / 2);
G4double Random1 = G4RandGauss::shoot();
G4double Random2 = G4RandGauss::shoot();
Tmax = std::max(
1., std::exp(AveLogTmax + SigmaLogTmax * (Correlation1 * Random1 + Correlation2 * Random2)));
Alpha = std::max(
1.1, std::exp(AveLogAlpha + SigmaLogAlpha * (Correlation1 * Random1 - Correlation2 * Random2)));
Beta = (Alpha - 1.00) / Tmax;
// Parameters for Enenrgy Profile including correaltion and sigmas
Tmaxh =
std::exp(AveLogTmaxh + SigmaLogTmaxh * (Correlation1h * Random1 + Correlation2h * Random2));
Alphah =
std::exp(AveLogAlphah + SigmaLogAlphah * (Correlation1h * Random1 - Correlation2h * Random2));
Betah = (Alphah - 1.00) / Tmaxh;
}
// ------------------------------------------------------------
void GFlashSamplingShowerParameterisation::GenerateNSpotProfile(const G4double y)
{
TNSpot = Tmaxh * (ParsSpotT1 + ParsSpotT2 * Zeff); // ok.
TNSpot = std::max(0.5, Tmaxh * (ParsSpotT1 + ParsSpotT2 * Zeff));
AlphaNSpot = Alphah * (ParsSpotA1 + ParsSpotA2 * Zeff);
BetaNSpot = (AlphaNSpot - 1.00) / TNSpot; // ok
NSpot = ParsSpotN1 / SamplingResolution * std::pow(y * Eceff / GeV, ParsSpotN2);
}
// ------------------------------------------------------------
G4double GFlashSamplingShowerParameterisation::ApplySampling(const G4double DEne, const G4double)
{
G4double DEneFluctuated = DEne;
G4double Resolution = std::pow(SamplingResolution, 2);
// +pow(NoiseResolution,2)/ //@@@@@@@@ FIXME
// Energy*(1.*MeV)+
// pow(ConstantResolution,2)*
// Energy/(1.*MeV);
if (Resolution > 0.0 && DEne > 0.00) {
// G4float x1 = DEne / Resolution;
// G4float x2 = G4RandGamma::shoot(x1, 1.0) * Resolution;
// DEneFluctuated = x2;
G4double x1 = DEne / Resolution;
G4double x2 = 1.0 / Resolution;
DEneFluctuated = G4RandGamma::shoot(x1, x2);
}
return DEneFluctuated;
}
// ------------------------------------------------------------
G4double GFlashSamplingShowerParameterisation::
IntegrateEneLongitudinal(G4double LongitudinalStep)
{
G4double LongitudinalStepInX0 = LongitudinalStep / X0eff;
G4float x1= Betah*LongitudinalStepInX0;
G4float x2= Alphah;
float x3 = gam(x1,x2);
G4double DEne=x3;
return DEne;
}
// ------------------------------------------------------------
G4double GFlashSamplingShowerParameterisation::IntegrateNspLongitudinal(G4double LongitudinalStep)
{
G4double LongitudinalStepInX0 = LongitudinalStep / X0eff;
G4float x1 = BetaNSpot * LongitudinalStepInX0;
G4float x2 = AlphaNSpot;
G4float x3 = gam(x1, x2);
G4double DNsp = x3;
return DNsp;
}
// ------------------------------------------------------------
G4double GFlashSamplingShowerParameterisation::GenerateRadius(G4int ispot, G4double Energy,
G4double LongitudinalPosition)
{
if (ispot < 1) {
// Determine lateral parameters in the middle of the step.
// They depend on energy & position along step
//
G4double Tau = ComputeTau(LongitudinalPosition);
ComputeRadialParameters(Energy, Tau);
}
G4double Radius;
G4double Random1 = G4UniformRand();
G4double Random2 = G4UniformRand();
if (Random1 < WeightCore) // WeightCore = p < w_i
{
Radius = Rmeff * RadiusCore * std::sqrt(Random2 / (1. - Random2));
}
else {
Radius = Rmeff * RadiusTail * std::sqrt(Random2 / (1. - Random2));
}
Radius = std::min(Radius, DBL_MAX);
return Radius;
}
// ------------------------------------------------------------
G4double GFlashSamplingShowerParameterisation::ComputeTau(G4double LongitudinalPosition)
{
G4double tau = LongitudinalPosition / Tmax / X0eff //<t> = T* a /(a - 1)
* (Alpha - 1.00) / Alpha * std::exp(AveLogAlpha)
/ (std::exp(AveLogAlpha) - 1.); // ok
return tau;
}
// ------------------------------------------------------------
void GFlashSamplingShowerParameterisation::ComputeRadialParameters(G4double Energy, G4double Tau)
{
G4double z1 = ParRC1 + ParRC2 * std::log(Energy / GeV); // ok
G4double z2 = ParRC3 + ParRC4 * Zeff; // ok
RadiusCore = z1 + z2 * Tau; // ok
G4double p1 = ParWC1 + ParWC2 * Zeff; // ok
G4double p2 = ParWC3 + ParWC4 * Zeff; // ok
G4double p3 = ParWC5 + ParWC6 * std::log(Energy / GeV); // ok
WeightCore = p1 * std::exp((p2 - Tau) / p3 - std::exp((p2 - Tau) / p3)); // ok
G4double k1 = ParRT1 + ParRT2 * Zeff; // ok
G4double k2 = ParRT3; // ok
G4double k3 = ParRT4; // ok
G4double k4 = ParRT5 + ParRT6 * std::log(Energy / GeV); // ok
RadiusTail = k1 * (std::exp(k3 * (Tau - k2)) + std::exp(k4 * (Tau - k2))); // ok
// sampling calorimeter
RadiusCore = RadiusCore + ParsRC1 * (1 - ehat) + ParsRC2 / Fs * std::exp(-Tau); // ok
WeightCore =
WeightCore + (1 - ehat) * (ParsWC1 + ParsWC2 / Fs * std::exp(-std::pow((Tau - 1.), 2))); // ok
RadiusTail = RadiusTail + (1 - ehat) * ParsRT1 + ParsRT2 / Fs * std::exp(-Tau); // ok
}
// ------------------------------------------------------------
G4double GFlashSamplingShowerParameterisation::
GenerateExponential(const G4double /* Energy */ )
{
G4double ParExp1 = 9./7.*X0eff;
G4double random = -ParExp1*G4RandExponential::shoot() ;
return random;
}