#include "AliPoissonCalculator.h"
#include <TH2D.h>
#include <TBrowser.h>
#include <TROOT.h>
#include <TMath.h>
#include <TList.h>
#include <iostream>
#include <TAxis.h>
namespace {
const char* kBasicN = "basic";
const char* kEmptyN = "empty";
const char* kTotalN = "total";
const char* kBasicT = "Basic number of hits";
const char* kEmptyT = "Empty number of bins/region";
const char* kTotalT = "Total number of bins/region";
}
AliPoissonCalculator::AliPoissonCalculator()
: TNamed(),
fXLumping(32),
fYLumping(4),
fTotal(0),
fEmpty(0),
fBasic(0),
fEmptyVsTotal(0),
fMean(0),
fOcc(0),
fCorr(0)
{
}
AliPoissonCalculator::AliPoissonCalculator(const char*)
: TNamed("poissonCalculator", "Calculate N_ch using Poisson stat"),
fXLumping(32),
fYLumping(4),
fTotal(0),
fEmpty(0),
fBasic(0),
fEmptyVsTotal(0),
fMean(0),
fOcc(0),
fCorr(0)
{
}
AliPoissonCalculator::AliPoissonCalculator(const AliPoissonCalculator& o)
: TNamed(o),
fXLumping(o.fXLumping),
fYLumping(o.fYLumping),
fTotal(0),
fEmpty(0),
fBasic(0),
fEmptyVsTotal(0),
fMean(0),
fOcc(0),
fCorr(0)
{
Init();
Reset(o.fBasic);
}
AliPoissonCalculator::~AliPoissonCalculator()
{
}
void
AliPoissonCalculator::CleanUp()
{
if (fTotal) { delete fTotal; fTotal = 0; }
if (fEmpty) { delete fEmpty; fEmpty = 0; }
if (fBasic) { delete fBasic; fBasic = 0; }
if (fEmptyVsTotal) { delete fEmptyVsTotal; fEmptyVsTotal = 0; }
if (fMean) { delete fMean; fMean = 0; }
if (fOcc) { delete fOcc; fOcc = 0; }
if (fCorr) { delete fCorr; fCorr = 0; }
}
AliPoissonCalculator&
AliPoissonCalculator::operator=(const AliPoissonCalculator& o)
{
if (&o == this) return *this;
TNamed::operator=(o);
fXLumping = o.fXLumping;
fYLumping = o.fYLumping;
CleanUp();
Init();
Reset(o.fBasic);
return *this;
}
void
AliPoissonCalculator::Init(Int_t xLumping, Int_t yLumping)
{
if (xLumping > 0) fXLumping = xLumping;
if (yLumping > 0) fYLumping = yLumping;
if (fEmptyVsTotal) return;
MakeOutput();
}
void
AliPoissonCalculator::Define(const TAxis& xaxis, const TAxis& yaxis)
{
const Double_t* xBins = xaxis.GetXbins()->GetArray();
const Double_t* yBins = yaxis.GetXbins()->GetArray();
Int_t nX = xaxis.GetNbins();
Int_t nY = yaxis.GetNbins();
Double_t lX = xaxis.GetXmin();
Double_t hX = xaxis.GetXmax();
Double_t lY = yaxis.GetXmin();
Double_t hY = yaxis.GetXmax();
if (xBins) {
if (yBins) fBasic = new TH2D(kBasicN, kBasicT, nX, xBins, nY, yBins);
else fBasic = new TH2D(kBasicN, kBasicT, nX, xBins, nY, lY, hY);
}
else {
if (yBins) fBasic = new TH2D(kBasicN, kBasicT, nX, lX, hX, nY, yBins);
else fBasic = new TH2D(kBasicN, kBasicT, nX, lX, hX, nY, lY, hY);
}
fBasic->SetXTitle(xaxis.GetTitle());
fBasic->SetYTitle(yaxis.GetTitle());
Reset(fBasic);
}
void AliPoissonCalculator::MakeOutput()
{
Int_t n = fXLumping * fYLumping + 1;
fEmptyVsTotal = new TH2D("emptyVsTotal",
"# of empty # bins vs total # bins",
n, -.5, n-.5, n, -.5, n-.5);
fEmptyVsTotal->SetXTitle("Total # bins");
fEmptyVsTotal->SetYTitle("# empty bins");
fEmptyVsTotal->SetZTitle("Correlation");
fEmptyVsTotal->SetOption("colz");
fEmptyVsTotal->SetDirectory(0);
n = (fXLumping + fYLumping);
fMean = new TH1D("poissonMean", "Mean N_{ch} as calculated by Poisson",
10*n+1, -.1, n+.1);
fMean->SetXTitle("#bar{N_{ch}}=log(empty/total)");
fMean->SetYTitle("Events");
fMean->SetFillColor(kRed+1);
fMean->SetFillStyle(3001);
fMean->SetLineColor(kBlack);
fMean->SetDirectory(0);
fOcc = new TH1D("occupancy", "Occupancy = #int_{1}^{#infty}dN P(N)",
101, -.5, 100.5);
fOcc->SetXTitle("#int_{1}^{#infty}dN P(N) [%]");
fOcc->SetYTitle("Events");
fOcc->SetFillColor(kBlue+1);
fOcc->SetFillStyle(3001);
fOcc->SetLineColor(kBlack);
fOcc->SetDirectory(0);
fCorr = new TH2D("correction", "Correction as function of mean N_{ch}",
10*n+1, -.1, n+.1, 100, 0, 10);
fCorr->SetXTitle("#bar{N_{ch}}");
fCorr->SetYTitle("Correction 1/(1-e^{#bar{N_{c}}})");
fCorr->SetZTitle("Events");
fCorr->SetOption("colz");
fCorr->SetDirectory(0);
}
void
AliPoissonCalculator::Output(TList* d)
{
if (!d) return;
if (!fEmptyVsTotal) MakeOutput();
d->Add(fEmptyVsTotal);
d->Add(fMean);
d->Add(fOcc);
d->Add(fCorr);
}
void
AliPoissonCalculator::SetLumping(UShort_t nx, UShort_t ny)
{
if (nx == fXLumping && ny == fYLumping &&
fEmptyVsTotal && fTotal)
return;
CleanUp();
Init(nx, ny);
}
Int_t
AliPoissonCalculator::CheckLumping(char which, Int_t nBins, Int_t lumping) const
{
if ((nBins % lumping) == 0) return lumping;
Int_t l = lumping;
do {
l--;
} while (l > 0 && ((nBins % l) != 0));
Warning("CheckLumping", "%c lumping %d is not a divisor of %d, set to %d",
which, lumping, nBins, l);
return l;
}
void
AliPoissonCalculator::Reset(const TH2D* base)
{
if (fBasic && fTotal && fEmpty) {
fBasic->Reset();
fTotal->Reset();
fEmpty->Reset();
return;
}
if (!base) return;
Int_t nXF = base->GetNbinsX();
Double_t xMin = base->GetXaxis()->GetXmin();
Double_t xMax = base->GetXaxis()->GetXmax();
Int_t nYF = base->GetNbinsY();
Double_t yMin = base->GetYaxis()->GetXmin();
Double_t yMax = base->GetYaxis()->GetXmax();
fXLumping = CheckLumping('X', nXF, fXLumping);
fYLumping = CheckLumping('Y', nYF, fYLumping);
Int_t nY = nYF / fYLumping;
Int_t nX = nXF / fXLumping;
if (fBasic != base) {
fBasic = static_cast<TH2D*>(base->Clone(kBasicN));
fBasic->SetTitle(kBasicT);
fBasic->SetDirectory(0);
fBasic->Sumw2();
}
fTotal = new TH2D(kTotalN, kTotalT, nX, xMin, xMax, nY, yMin, yMax);
fTotal->SetDirectory(0);
fTotal->SetXTitle(fBasic->GetXaxis()->GetTitle());
fTotal->SetYTitle(fBasic->GetYaxis()->GetTitle());
fTotal->Sumw2();
fEmpty = static_cast<TH2D*>(fTotal->Clone(kEmptyN));
fEmpty->SetTitle(kEmptyT);
fEmpty->SetDirectory(0);
}
void
AliPoissonCalculator::Fill(UShort_t x, UShort_t y, Bool_t hit, Double_t weight)
{
fTotal->Fill(x, y);
if (hit) fBasic->Fill(x, y, weight);
else fEmpty->Fill(x, y);
}
Double_t
AliPoissonCalculator::CalculateMean(Double_t empty, Double_t total) const
{
if (total <= 0) return 0;
if (empty < .001) empty = .001;
return -TMath::Log(empty/total);
}
Double_t
AliPoissonCalculator::CalculateCorrection(Double_t empty, Double_t total) const
{
if (total <= 0) return 0;
if (TMath::Abs(empty-total) < .001) empty = total - .001;
return 1 / (1 - empty / total);
}
Int_t
AliPoissonCalculator::GetReducedXBin(Int_t ix) const
{
if (!fBasic) return 0;
Double_t mx = fBasic->GetXaxis()->GetBinCenter(ix);
return GetReducedXBin(mx);
}
Int_t
AliPoissonCalculator::GetReducedXBin(Double_t x) const
{
if (!fEmpty) return 0;
return fEmpty->GetXaxis()->FindBin(x);
}
Int_t
AliPoissonCalculator::GetReducedYBin(Int_t iy) const
{
if (!fBasic) return 0;
Double_t my = fBasic->GetYaxis()->GetBinCenter(iy);
return GetReducedYBin(my);
}
Int_t
AliPoissonCalculator::GetReducedYBin(Double_t y) const
{
if (!fEmpty) return 0;
return fEmpty->GetYaxis()->FindBin(y);
}
TH2D*
AliPoissonCalculator::Result(Bool_t correct)
{
for (Int_t ix = 1; ix <= fBasic->GetNbinsX(); ix++) {
Int_t jx = GetReducedXBin(ix);
for (Int_t iy = 1; iy <= fBasic->GetNbinsY(); iy++) {
Int_t jy = GetReducedYBin(iy);
Double_t empty = fEmpty->GetBinContent(jx, jy);
Double_t total = fTotal->GetBinContent(jx, jy);
Double_t hits = fBasic->GetBinContent(ix,iy);
Double_t poissonM = CalculateMean(empty, total);
Double_t poissonC = (correct ? CalculateCorrection(empty, total) : 1);
Double_t poissonV = hits * poissonM * poissonC;
Double_t poissonE = TMath::Sqrt(poissonV);
if(poissonV > 0) poissonE = TMath::Sqrt(poissonV);
fBasic->SetBinContent(ix,iy,poissonV);
fBasic->SetBinError(ix,iy,poissonE);
}
}
return fBasic;
}
void
AliPoissonCalculator::FillDiagnostics()
{
for (Int_t ix = 1; ix <= fEmpty->GetNbinsX(); ix++) {
for (Int_t iy = 1; iy <= fEmpty->GetNbinsY(); iy++) {
Double_t empty = fEmpty->GetBinContent(ix, iy);
Double_t total = fTotal->GetBinContent(ix, iy);
Double_t mean = CalculateMean(empty, total);
Double_t corr = CalculateCorrection(empty, total);
fEmptyVsTotal->Fill(total, empty);
fMean->Fill(mean);
if (total > 1e-6) fOcc->Fill(100 * (1 - empty/total));
fCorr->Fill(mean, corr);
}
}
}
void
AliPoissonCalculator::Print(const Option_t*) const
{
char ind[gROOT->GetDirLevel()+3];
for (Int_t i = 0; i < gROOT->GetDirLevel(); i++) ind[i] = ' ';
ind[gROOT->GetDirLevel()] = '\0';
std::cout << ind << ClassName() << ": " << GetName() << '\n'
<< std::boolalpha
<< ind << " X lumping: " << fXLumping << '\n'
<< ind << " Y lumping: " << fYLumping << '\n'
<< std::noboolalpha << std::endl;
}
void
AliPoissonCalculator::Browse(TBrowser* b)
{
if (fTotal) b->Add(fTotal);
if (fEmpty) b->Add(fEmpty);
if (fBasic) b->Add(fBasic);
if (fEmptyVsTotal) b->Add(fEmptyVsTotal);
if (fMean) b->Add(fMean);
if (fOcc) b->Add(fOcc);
if (fCorr) b->Add(fCorr);
}
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