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FitAwmi.C File Reference
Tutorials » Spectrum tutorials

Detailed Description

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This macro fits the source spectrum using the AWMI algorithm from the "TSpectrumFit" class ("TSpectrum" class is used to find peaks).

To try this macro, in a ROOT (5 or 6) prompt, do:

root > .x FitAwmi.C

or:

root > .x FitAwmi.C++
root > FitAwmi(); // re-run with another random set of peaks
created -9.7 15.9577 4
created -9.1 7.97885 2
created -8.5 39.8942 10
created -7.9 19.9471 5
created -7.3 27.926 7
created -6.7 15.9577 4
created -6.1 19.9471 5
created -5.5 27.926 7
created -4.9 3.98942 1
created -4.3 31.9154 8
created -3.7 31.9154 8
created -3.1 35.9048 9
created -2.5 15.9577 4
created -1.9 3.98942 1
created -1.3 7.97885 2
created -0.7 15.9577 4
created -0.1 35.9048 9
created 0.5 7.97885 2
created 1.1 19.9471 5
created 1.7 7.97885 2
created 2.3 35.9048 9
created 2.9 11.9683 3
created 3.5 15.9577 4
created 4.1 3.98942 1
created 4.7 35.9048 9
created 5.3 31.9154 8
created 5.9 23.9365 6
created 6.5 23.9365 6
created 7.1 23.9365 6
created 7.7 7.97885 2
created 8.3 11.9683 3
created 8.9 7.97885 2
created 9.5 3.98942 1
the total number of created peaks = 33 with sigma = 0.1
the total number of found peaks = 33 with sigma = 0.100002 (+-1.77615e-05)
fit chi^2 = 7.90405e-07
found -8.5 (+-0.000122913) 39.8938 (+-0.048506) 10.0001 (+-0.000398064)
found -3.1 (+-0.000130092) 35.9047 (+-0.0460392) 9.00015 (+-0.000377821)
found -0.1 (+-0.000129546) 35.9044 (+-0.0460161) 9.00007 (+-0.000377631)
found 2.3 (+-0.00012944) 35.9044 (+-0.0460117) 9.00006 (+-0.000377594)
found 4.7 (+-0.000129672) 35.9046 (+-0.0460227) 9.00011 (+-0.000377685)
found 5.3 (+-0.000138356) 31.9155 (+-0.0434207) 8.00019 (+-0.000356332)
found -4.3 (+-0.00013763) 31.9152 (+-0.0433941) 8.00012 (+-0.000356113)
found -3.7 (+-0.00013851) 31.9156 (+-0.0434268) 8.00022 (+-0.000356382)
found -7.3 (+-0.000147507) 27.9259 (+-0.0406025) 7.00012 (+-0.000333204)
found -5.5 (+-0.000146982) 27.9257 (+-0.040586) 7.00008 (+-0.000333068)
found 5.9 (+-0.000160057) 23.9368 (+-0.0376124) 6.00018 (+-0.000308666)
found 6.5 (+-0.00015986) 23.9367 (+-0.0376064) 6.00015 (+-0.000308616)
found 7.1 (+-0.000159272) 23.9365 (+-0.0375895) 6.0001 (+-0.000308478)
found -7.9 (+-0.000175933) 19.9476 (+-0.0343508) 5.00022 (+-0.0002819)
found -6.1 (+-0.000175219) 19.9473 (+-0.0343325) 5.00014 (+-0.000281749)
found 1.1 (+-0.000174014) 19.9469 (+-0.0343031) 5.00005 (+-0.000281508)
found -6.7 (+-0.000196466) 15.958 (+-0.0307194) 4.00016 (+-0.000252099)
found -2.5 (+-0.000195661) 15.9579 (+-0.0307048) 4.00013 (+-0.000251979)
found -9.7 (+-0.000194841) 15.9575 (+-0.0306845) 4.00003 (+-0.000251812)
found -0.699996 (+-0.000196041) 15.9579 (+-0.0307116) 4.00014 (+-0.000252035)
found 3.5 (+-0.000194709) 15.9576 (+-0.0306848) 4.00005 (+-0.000251815)
found 2.9 (+-0.000227589) 11.9687 (+-0.0266157) 3.00017 (+-0.000218421)
found 8.3 (+-0.000225384) 11.9682 (+-0.0265815) 3.00005 (+-0.000218141)
found -9.09999 (+-0.000280209) 7.97942 (+-0.0217479) 2.00018 (+-0.000178474)
found 0.499996 (+-0.000280347) 7.97942 (+-0.0217491) 2.00018 (+-0.000178484)
found 1.7 (+-0.000280347) 7.97942 (+-0.0217491) 2.00018 (+-0.000178484)
found 7.7 (+-0.00027889) 7.97916 (+-0.0217332) 2.00012 (+-0.000178353)
found 8.9 (+-0.000276683) 7.9789 (+-0.0217104) 2.00005 (+-0.000178166)
found -1.3 (+-0.000277073) 7.97895 (+-0.0217145) 2.00007 (+-0.0001782)
found -4.9 (+-0.000400923) 3.99013 (+-0.0154047) 1.0002 (+-0.000126418)
found 4.10001 (+-0.000399694) 3.99002 (+-0.0153977) 1.00017 (+-0.000126361)
found -1.9 (+-0.000395681) 3.98966 (+-0.0153746) 1.00008 (+-0.000126172)
found 9.5 (+-0.000388964) 3.9895 (+-0.0153433) 1.00004 (+-0.000125914)
#include "TROOT.h"
#include "TMath.h"
#include "TRandom.h"
#include "TH1.h"
#include "TF1.h"
#include "TCanvas.h"
#include "TSpectrum.h"
#include "TSpectrumFit.h"
#include "TPolyMarker.h"
#include "TList.h"
#include <iostream>
TH1F *FitAwmi_Create_Spectrum(void) {
Int_t nbins = 1000;
Double_t xmin = -10., xmax = 10.;
delete gROOT->FindObject("h"); // prevent "memory leak"
TH1F *h = new TH1F("h", "simulated spectrum", nbins, xmin, xmax);
h->SetStats(kFALSE);
TF1 f("f", "TMath::Gaus(x, [0], [1], 1)", xmin, xmax);
// f.SetParNames("mean", "sigma");
gRandom->SetSeed(0); // make it really random
// create well separated peaks with exactly known means and areas
// note: TSpectrumFit assumes that all peaks have the same sigma
Double_t sigma = (xmax - xmin) / Double_t(nbins) * Int_t(gRandom->Uniform(2., 6.));
Int_t npeaks = 0;
while (xmax > (xmin + 6. * sigma)) {
npeaks++;
xmin += 3. * sigma; // "mean"
f.SetParameters(xmin, sigma);
Double_t area = 1. * Int_t(gRandom->Uniform(1., 11.));
h->Add(&f, area, ""); // "" ... or ... "I"
std::cout << "created "
<< xmin << " "
<< (area / sigma / TMath::Sqrt(TMath::TwoPi())) << " "
<< area << std::endl;
xmin += 3. * sigma;
}
std::cout << "the total number of created peaks = " << npeaks
<< " with sigma = " << sigma << std::endl;
return h;
}
void FitAwmi(void) {
TH1F *h = FitAwmi_Create_Spectrum();
TCanvas *cFit = ((TCanvas *)(gROOT->GetListOfCanvases()->FindObject("cFit")));
if (!cFit) cFit = new TCanvas("cFit", "cFit", 10, 10, 1000, 700);
else cFit->Clear();
h->Draw("L");
Int_t i, nfound, bin;
Int_t nbins = h->GetNbinsX();
Double_t *source = new Double_t[nbins];
Double_t *dest = new Double_t[nbins];
for (i = 0; i < nbins; i++) source[i] = h->GetBinContent(i + 1);
TSpectrum *s = new TSpectrum(); // note: default maxpositions = 100
// searching for candidate peaks positions
nfound = s->SearchHighRes(source, dest, nbins, 2., 2., kFALSE, 10000, kFALSE, 0);
// filling in the initial estimates of the input parameters
Bool_t *FixPos = new Bool_t[nfound];
Bool_t *FixAmp = new Bool_t[nfound];
for(i = 0; i < nfound; i++) FixAmp[i] = FixPos[i] = kFALSE;
Double_t *Pos, *Amp = new Double_t[nfound]; // ROOT 6
Pos = s->GetPositionX(); // 0 ... (nbins - 1)
for (i = 0; i < nfound; i++) {
bin = 1 + Int_t(Pos[i] + 0.5); // the "nearest" bin
Amp[i] = h->GetBinContent(bin);
}
TSpectrumFit *pfit = new TSpectrumFit(nfound);
pfit->SetFitParameters(0, (nbins - 1), 1000, 0.1, pfit->kFitOptimChiCounts,
pfit->kFitAlphaHalving, pfit->kFitPower2,
pfit->kFitTaylorOrderFirst);
pfit->SetPeakParameters(2., kFALSE, Pos, FixPos, Amp, FixAmp);
// pfit->SetBackgroundParameters(source[0], kFALSE, 0., kFALSE, 0., kFALSE);
pfit->FitAwmi(source);
Double_t *Positions = pfit->GetPositions();
Double_t *PositionsErrors = pfit->GetPositionsErrors();
Double_t *Amplitudes = pfit->GetAmplitudes();
Double_t *AmplitudesErrors = pfit->GetAmplitudesErrors();
Double_t *Areas = pfit->GetAreas();
Double_t *AreasErrors = pfit->GetAreasErrors();
delete gROOT->FindObject("d"); // prevent "memory leak"
TH1F *d = new TH1F(*h); d->SetNameTitle("d", ""); d->Reset("M");
for (i = 0; i < nbins; i++) d->SetBinContent(i + 1, source[i]);
Double_t x1 = d->GetBinCenter(1), dx = d->GetBinWidth(1);
Double_t sigma, sigmaErr;
pfit->GetSigma(sigma, sigmaErr);
// current TSpectrumFit needs a sqrt(2) correction factor for sigma
sigma /= TMath::Sqrt2(); sigmaErr /= TMath::Sqrt2();
// convert "bin numbers" into "x-axis values"
sigma *= dx; sigmaErr *= dx;
std::cout << "the total number of found peaks = " << nfound
<< " with sigma = " << sigma << " (+-" << sigmaErr << ")"
<< std::endl;
std::cout << "fit chi^2 = " << pfit->GetChi() << std::endl;
for (i = 0; i < nfound; i++) {
bin = 1 + Int_t(Positions[i] + 0.5); // the "nearest" bin
Pos[i] = d->GetBinCenter(bin);
Amp[i] = d->GetBinContent(bin);
// convert "bin numbers" into "x-axis values"
Positions[i] = x1 + Positions[i] * dx;
PositionsErrors[i] *= dx;
Areas[i] *= dx;
AreasErrors[i] *= dx;
std::cout << "found "
<< Positions[i] << " (+-" << PositionsErrors[i] << ") "
<< Amplitudes[i] << " (+-" << AmplitudesErrors[i] << ") "
<< Areas[i] << " (+-" << AreasErrors[i] << ")"
<< std::endl;
}
d->SetLineColor(kRed); d->SetLineWidth(1);
d->Draw("SAME L");
TPolyMarker *pm = ((TPolyMarker*)(h->GetListOfFunctions()->FindObject("TPolyMarker")));
if (pm) {
h->GetListOfFunctions()->Remove(pm);
delete pm;
}
pm = new TPolyMarker(nfound, Pos, Amp);
h->GetListOfFunctions()->Add(pm);
pm->SetMarkerStyle(23);
pm->SetMarkerColor(kRed);
pm->SetMarkerSize(1);
// cleanup
delete pfit;
delete [] Amp;
delete [] FixAmp;
delete [] FixPos;
delete s;
delete [] dest;
delete [] source;
return;
}
d
#define d(i)
Definition RSha256.hxx:102
f
#define f(i)
Definition RSha256.hxx:104
h
#define h(i)
Definition RSha256.hxx:106
Bool_t
bool Bool_t
Definition RtypesCore.h:63
Int_t
int Int_t
Definition RtypesCore.h:45
kFALSE
constexpr Bool_t kFALSE
Definition RtypesCore.h:101
Double_t
double Double_t
Definition RtypesCore.h:59
kRed
@ kRed
Definition Rtypes.h:66
TRangeDynCast
ROOT::Detail::TRangeCast< T, true > TRangeDynCast
TRangeDynCast is an adapter class that allows the typed iteration through a TCollection.
Definition TCollection.h:358
dest
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void char Point_t Rectangle_t dest
Definition TGWin32VirtualXProxy.cxx:164
x1
Option_t Option_t TPoint TPoint const char x1
Definition TGWin32VirtualXProxy.cxx:70
xmin
float xmin
Definition THbookFile.cxx:95
xmax
float xmax
Definition THbookFile.cxx:95
gROOT
#define gROOT
Definition TROOT.h:414
gRandom
R__EXTERN TRandom * gRandom
Definition TRandom.h:62
TCanvas
The Canvas class.
Definition TCanvas.h:23
TF1
1-Dim function class
Definition TF1.h:233
TH1F
1-D histogram with a float per channel (see TH1 documentation)
Definition TH1.h:621
TPolyMarker
A PolyMarker is defined by an array on N points in a 2-D space.
Definition TPolyMarker.h:31
TRandom::SetSeed
virtual void SetSeed(ULong_t seed=0)
Set the random generator seed.
Definition TRandom.cxx:615
TRandom::Uniform
virtual Double_t Uniform(Double_t x1=1)
Returns a uniform deviate on the interval (0, x1).
Definition TRandom.cxx:682
TSpectrumFit
Advanced 1-dimensional spectra fitting functions.
Definition TSpectrumFit.h:18
TSpectrum
Advanced Spectra Processing.
Definition TSpectrum.h:18
TSpectrum::SearchHighRes
Int_t SearchHighRes(Double_t *source, Double_t *destVector, Int_t ssize, Double_t sigma, Double_t threshold, bool backgroundRemove, Int_t deconIterations, bool markov, Int_t averWindow)
One-dimensional high-resolution peak search function.
Definition TSpectrum.cxx:2129
TSpectrum::GetPositionX
Double_t * GetPositionX() const
Definition TSpectrum.h:58
sigma
const Double_t sigma
Definition h1analysisProxy.h:11
TMath::Sqrt2
constexpr Double_t Sqrt2()
Definition TMath.h:86
TMath::Sqrt
Double_t Sqrt(Double_t x)
Returns the square root of x.
Definition TMath.h:662
TMath::TwoPi
constexpr Double_t TwoPi()
Definition TMath.h:44
Author

Definition in file FitAwmi.C.