/* $Id$ */
+// Utility class to make simple Glauber type calculations for collision geometries:
+// Impact parameter, production points, reaction plane dependence
+// Author: Andreas Morsch
+// andreas.morsch@cern.ch
+
#include <TObject.h>
+#include <TString.h>
class TF1;
class TF2;
+
class AliFastGlauber : public TObject {
public:
- AliFastGlauber();
- virtual ~AliFastGlauber(){;}
+ static AliFastGlauber* Instance();
+ virtual ~AliFastGlauber();
+ void Init(Int_t mode = 0);
+
void SetWoodSaxonParameters(Double_t r0, Double_t d, Double_t w, Double_t n)
{fWSr0 = r0; fWSd = d; fWSw = w; fWSn = n;}
- void SetMaxImpact(Float_t bmax = 20.) {fbMax = bmax;};
- void SetHardCrossSection(Float_t xs = 6.6) {fSigmaHard = xs;}
-
- static Double_t WSb (Double_t *xx, Double_t *par);
- static Double_t WSbz (Double_t *xx, Double_t *par);
- static Double_t WSz (Double_t *xx, Double_t *par);
- static Double_t WSta (Double_t *xx, Double_t *par);
- static Double_t WStarfi (Double_t *xx, Double_t *par);
- static Double_t WStaa (Double_t *xx, Double_t *par);
- static Double_t WSgeo (Double_t *xx, Double_t *par);
- static Double_t WSbinary (Double_t *xx, Double_t *par);
- static Double_t WSN (Double_t *xx, Double_t *par);
- static Double_t WAlmond (Double_t *xx, Double_t *par);
- static Double_t WPathLength0 (Double_t *xx, Double_t *par);
- static Double_t WPathLength (Double_t *xx, Double_t *par);
- static Double_t WIntRadius (Double_t *xx, Double_t *par);
- static Double_t WEnergyDensity (Double_t *xx, Double_t *par);
+ void SetWoodSaxonParametersAu()
+ {fWSr0 = 6.38; fWSd = 0.535; fWSw = 0.; fWSn = 8.59e-4;}
+ void SetWoodSaxonParametersPb()
+ {fWSr0 = 6.78; fWSd = 0.54; fWSw = 0.; fWSn = 7.14e-4;}
+ void SetMaxImpact(Float_t bmax = 20.) {fgBMax = bmax;};
+ void SetHardCrossSection(Float_t xs = 1.0) {fSigmaHard = xs;}
+ void SetNNCrossSection (Float_t xs = 55.6) {fSigmaNN = xs;}
+ void SetNucleus(Int_t n=208) {fA=n;}
+ void SetAuAuRhic();
+ void SetPbPbLHC();
+ void SetFileName(const TString &fn){fName=fn;}
+ void SetFileName(const char *fn="$(ALICE_ROOT)/FASTSIM/data/glauberPbPb.root"){fName=fn;}
+
+ const TF1* GetWSB() const {return fgWSb;}
+ const TF1* GetRWSB() const {return fgRWSb;}
+ const TF2* GetWSbz() const {return fgWSbz;}
+ const TF1* GetWSz() const {return fgWSz;}
+ const TF1* GetWSta() const {return fgWSta;}
+ const TF2* Kernel() const {return fgWStarfi;}
+ const TF2* GetWStarfi() const {return fgWStarfi;}
+ const TF2* GetWKParticipants() const {return fgWKParticipants;}
+ const TF1* GetWParticipants() const {return fgWParticipants;}
+ const TF1* Overlap() const {return fgWStaa;}
+ const TF1* GetWStaa() const {return fgWStaa;}
+ const TF2* GetWAlmond() const {return fgWAlmond;}
+ const TF1* GetWPathLength0() const {return fgWPathLength0;}
+ const TF1* GetWPathLength() const {return fgWPathLength;}
+ const TF1* GetWIntRadius() const {return fgWIntRadius;}
+ const TF1* GetWSgeo() const {return fgWSgeo;}
+ const TF1* GetWSbinary() const {return fgWSbinary;}
+ const TF1* GetWSN() const {return fgWSN;}
+ const TF1* GetWEnergyDensity() const {return fgWEnergyDensity;}
+ const TF2* GetWAlmondFixedB(Int_t i) const {return fgWAlmondFixedB[i];}
- void Init(Int_t mode = 0);
- void DrawWSb();
- void DrawThickness();
- void DrawOverlap();
- void DrawGeo();
- void DrawBinary();
- void DrawN();
- void DrawKernel(Double_t b = 0.);
- void DrawAlmond(Double_t b = 0.);
- void DrawPathLength0(Double_t b = 0.);
- void DrawPathLength(Double_t b, Int_t ni = 1000);
- void DrawIntRadius(Double_t b = 0.);
- void DrawEnergyDensity();
+ Float_t GetWr0() const {return fWSr0;}
+ Float_t GetWSd() const {return fWSd;}
+ Float_t GetWSw() const {return fWSw;}
+ Float_t GetWSn() const {return fWSn;}
+ Float_t GetSigmaHard() const {return fSigmaHard;}
+ Float_t GetSigmaNN() const {return fSigmaNN;}
+ Int_t GetA() const {return fA;}
+ const TString* GetFileName() const {return &fName;}
+ Float_t GetBmin() const {return fBmin;}
+ Float_t GetBmax() const {return fBmax;}
+
+ void DrawWSb() const;
+ void DrawThickness() const;
+ void DrawOverlap() const;
+ void DrawParticipants() const;
+ void DrawGeo() const;
+ void DrawBinary() const;
+ void DrawN() const;
+ void DrawKernel(Double_t b = 0.) const;
+ void DrawAlmond(Double_t b = 0.) const;
+ void DrawPathLength0(Double_t b = 0., Int_t iopt = 0) const;
+ void DrawPathLength(Double_t b, Int_t ni = 1000, Int_t iopt = 0) const;
+ void DrawIntRadius(Double_t b = 0.) const;
+ void DrawEnergyDensity() const;
- Double_t CrossSection(Double_t b1, Double_t b2);
- Double_t FractionOfHardCrossSection(Double_t b1, Double_t b2);
- Double_t Binaries(Double_t b);
- TF2* Kernel() {return fWStarfi;}
- TF1* Overlap() {return fWStaa;}
+ Double_t CrossSection(Double_t b1, Double_t b2) const;
+ Double_t HardCrossSection(Double_t b1, Double_t b2) const;
+ Double_t NHard(Double_t b1, Double_t b2) const;
+ Double_t FractionOfHardCrossSection(Double_t b1, Double_t b2) const;
+ Double_t Binaries(Double_t b) const;
+ Double_t GetNumberOfBinaries(Double_t b) const;
+ Double_t Participants(Double_t b) const;
+ Double_t GetNumberOfParticipants(Double_t b) const;
+ Double_t GetNumberOfCollisions(Double_t b) const;
+ Double_t GetNumberOfCollisionsPerEvent(Double_t b) const;
+ Double_t MeanOverlap(Double_t b1, Double_t b2);
+ Double_t MeanNumberOfCollisionsPerEvent(Double_t b1, Double_t b2);
void SimulateTrigger(Int_t n);
void GetRandom(Float_t& b, Float_t& p, Float_t& mult);
void GetRandom(Int_t& bin, Bool_t& hard);
- Float_t GetRandomImpactParameter(Float_t bmin, Float_t bmax);
+ Double_t GetRandomImpactParameter(Double_t bmin, Double_t bmax);
+
+ void StoreFunctions() const;
+ void StoreAlmonds() const;
+
+ void SetLengthDefinition(Int_t def=1) {fEllDef=def;}
+ Int_t GetLengthDef() const {return fEllDef;}
+ void SetCentralityClass(Double_t xsecFrLow=0.0,Double_t xsecFrUp=0.1);
+ void GetRandomBHard(Double_t& b);
+ void GetRandomXY(Double_t& x,Double_t& y);
+ void GetSavedXY(Double_t xy[2]) const {xy[0] = fXY[0]; xy[1] = fXY[1];}
+ void GetSavedI0I1(Double_t i0i1[2]) const {i0i1[0] = fI0I1[0]; i0i1[1] = fI0I1[1];}
+ void SaveXY(Double_t x, Double_t y) {fXY[0] = x; fXY[1] = y;}
+ void SaveI0I1(Double_t i0, Double_t i1) {fI0I1[0] = i0; fI0I1[1] = i1;}
+
+ void GetRandomPhi(Double_t& phi);
+ Double_t CalculateLength(Double_t b=0.,Double_t x0=0.,Double_t y0=0.,
+ Double_t phi0=0.);
+ void GetLengthAndPhi(Double_t& ell,Double_t &phi,Double_t b=-1.);
+ void GetLength(Double_t& ell,Double_t b=-1.);
+ void GetLengthsBackToBackAndPhi(Double_t& ell1,Double_t& ell2,
+ Double_t &phi,
+ Double_t b=-1.);
+ void GetLengthsBackToBack(Double_t& ell1,Double_t& ell2,
+ Double_t b=-1.);
+ void GetLengthsForPythia(Int_t n,Double_t* const phi,Double_t* ell,
+ Double_t b=-1.);
+ void PlotBDistr(Int_t n=1000);
+ void PlotLengthDistr(Int_t n=1000,Bool_t save=kFALSE,
+ const char *fname="length.root");
+ void PlotLengthB2BDistr(Int_t n=1000,Bool_t save=kFALSE,
+ const char *fname="lengthB2B.root");
+ void CalculateI0I1(Double_t& integral0,Double_t& integral1,
+ Double_t b=0.,
+ Double_t x0=0.,Double_t y0=0.,Double_t phi0=0.,
+ Double_t ellCut=20.) const;
+ void GetI0I1AndPhi(Double_t& integral0,Double_t& integral1,Double_t &phi,
+ Double_t ellCut=20.,Double_t b=-1.);
+ void GetI0I1(Double_t& integral0,Double_t& integral1,
+ Double_t ellCut=20.,Double_t b=-1.);
+ void GetI0I1BackToBackAndPhi(Double_t& integral01,Double_t& integral11,
+ Double_t& integral02,Double_t& integral12,
+ Double_t& phi,
+ Double_t ellCut=20.,Double_t b=-1.);
+ void GetI0I1BackToBackAndPhiAndXY(Double_t& integral01,Double_t& integral11,
+ Double_t& integral02,Double_t& integral12,
+ Double_t& phi,Double_t& x,Double_t&y,
+ Double_t ellCut=20.,Double_t b=-1.);
+ void GetI0I1BackToBack(Double_t& integral01,Double_t& integral11,
+ Double_t& integral02,Double_t& integral12,
+ Double_t ellCut=20.,Double_t b=-1.);
+ void GetI0I1ForPythia(Int_t n,Double_t* phi,
+ Double_t* integral0,Double_t* integral1,
+ Double_t ellCut=20.,Double_t b=-1.);
+ void GetI0I1ForPythiaAndXY(Int_t n,Double_t* phi,
+ Double_t* integral0,Double_t* integral1,
+ Double_t&x, Double_t &y,
+ Double_t ellCut=20.,Double_t b=-1.);
+ void PlotI0I1Distr(Int_t n=1000,Double_t ellCut=20.,Bool_t save=kFALSE,
+ const char *fname="i0i1.root");
+ void PlotI0I1B2BDistr(Int_t n=1000,Double_t ellCut=20.,Bool_t save=kFALSE,
+ const char *fname="i0i1B2B.root");
+ void PlotAlmonds() const;
+ // Copy
+ AliFastGlauber& operator=(const AliFastGlauber & rhs);
+ void Copy(TObject&) const;
protected:
- static TF1* fWSb; // Wood-Saxon Function (b)
- static TF2* fWSbz; // Wood-Saxon Function (b, z)
- static TF1* fWSz; // Wood-Saxon Function (b = b0, z)
- static TF1* fWSta; // Thickness Function
- static TF2* fWStarfi; // Kernel for Overlap Function
- static TF1* fWStaa; // Overlap Function
- static TF2* fWAlmond; // Interaction Almond
- static TF1* fWPathLength0; // Path Length as a function of phi
- static TF1* fWPathLength; // Path Length as a function of phi
- static TF1* fWIntRadius; // Interaction Radius
- static TF1* fWSgeo; // dSigma/db geometric
- static TF1* fWSbinary; // dSigma/db binary
- static TF1* fWSN; // dN/db binary
- static TF1* fWEnergyDensity; // Energy density as a function of impact parameter
+ static Double_t RWSb (const Double_t *xx, const Double_t *par);
+ static Double_t WSb (const Double_t *xx, const Double_t *par);
+ static Double_t WSbz (const Double_t *xx, const Double_t *par);
+ static Double_t WSz (const Double_t *xx, const Double_t *par);
+ static Double_t WSta (const Double_t *xx, const Double_t *par);
+ static Double_t WStarfi (const Double_t *xx, const Double_t *par);
+ static Double_t WStaa (const Double_t *xx, const Double_t *par);
+ static Double_t WKParticipants (const Double_t *xx, const Double_t *par);
+ static Double_t WParticipants (const Double_t *xx, const Double_t *par);
+ static Double_t WSgeo (const Double_t *xx, const Double_t *par);
+ static Double_t WSbinary (const Double_t *xx, const Double_t *par);
+ static Double_t WSN (const Double_t *xx, const Double_t *par);
+ static Double_t WAlmond (const Double_t *xx, const Double_t *par);
+ static Double_t WPathLength0 (const Double_t *xx, const Double_t *par);
+ static Double_t WPathLength (const Double_t *xx, const Double_t *par);
+ static Double_t WIntRadius (const Double_t *xx, const Double_t *par);
+ static Double_t WEnergyDensity (const Double_t *xx, const Double_t *par);
+
+ void Reset() const;
+ private:
+ AliFastGlauber();
+ AliFastGlauber(const AliFastGlauber& glauber);
+
+ static Float_t fgBMax; // Maximum Impact Parameter
+ static const Int_t fgkMCInts; // Number of MC integrations
+ static AliFastGlauber* fgGlauber; // Singleton instance
+
- Float_t fWSr0; // Wood-Saxon Parameter r0
- Float_t fWSd; // Wood-Saxon Parameter d
- Float_t fWSw; // Wood-Saxon Parameter w
- Float_t fWSn; // Wood-Saxon Parameter n
- Float_t fSigmaHard; // Hard Cross Section
- static Float_t fbMax; // Maximum Impact Parameter
+ static TF1* fgWSb; // Wood-Saxon Function (b)
+ static TF1* fgRWSb; // Wood-Saxon Function (b) with phase space factor
+ static TF2* fgWSbz; // Wood-Saxon Function (b, z)
+ static TF1* fgWSz; // Wood-Saxon Function (b = b0, z)
+ static TF1* fgWSta; // Thickness Function
+ static TF2* fgWStarfi; // Kernel for Overlap Function
+ static TF2* fgWKParticipants; // Kernel for number of participants
+ static TF1* fgWParticipants; // Number of participants
+ static TF1* fgWStaa; // Overlap Function
+ static TF2* fgWAlmond; // Interaction Almond
+ static TF1* fgWPathLength0; // Path Length as a function of phi
+ static TF1* fgWPathLength; // Path Length as a function of phi
+ static TF1* fgWIntRadius; // Interaction Radius
+ static TF1* fgWSgeo; // dSigma/db geometric
+ static TF1* fgWSbinary; // dSigma/db binary
+ static TF1* fgWSN; // dN/db binary
+ static TF1* fgWEnergyDensity; // Energy density as a function of impact parameter
+ static TF2* fgWAlmondFixedB[40]; // Interaction Almonds read from file
+ static TF2* fgWAlmondCurrent; // Interaction Almond used for length
- ClassDef(AliFastGlauber,1) // Event geometry simulation in the Glauber Model
+ Float_t fWSr0; // Wood-Saxon Parameter r0
+ Float_t fWSd; // Wood-Saxon Parameter d
+ Float_t fWSw; // Wood-Saxon Parameter w
+ Float_t fWSn; // Wood-Saxon Parameter n
+ // (chosen such that integral is one)
+ Float_t fSigmaHard; // Hard Cross Section [mbarn]
+ Float_t fSigmaNN; // NN Cross Section [mbarn]
+ Int_t fA; // Nucleon number of nucleus A
+
+ Float_t fBmin; // Minimum b (set through centrality selection)
+ Float_t fBmax; // Coresponding maximum b
+ Double_t fXY[2]; // Current generated production point
+ Double_t fI0I1[2]; // Current integrals I0 and I1
+ Int_t fEllDef; // definition of length (see CalculateLength())
+ TString fName; // filename of stored distributions
+ ClassDef(AliFastGlauber,2) // Event geometry simulation in the Glauber Model
};
#endif
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