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FitAwmi.C File Reference
Tutorials » Legacy tutorials » Spectrum tutorials

Detailed Description

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 -9.82 66.4904 10
created -9.46 26.5962 4
created -9.1 46.5433 7
created -8.74 26.5962 4
created -8.38 13.2981 2
created -8.02 33.2452 5
created -7.66 66.4904 10
created -7.3 19.9471 3
created -6.94 33.2452 5
created -6.58 66.4904 10
created -6.22 59.8413 9
created -5.86 46.5433 7
created -5.5 6.64904 1
created -5.14 19.9471 3
created -4.78 53.1923 8
created -4.42 33.2452 5
created -4.06 46.5433 7
created -3.7 13.2981 2
created -3.34 19.9471 3
created -2.98 19.9471 3
created -2.62 6.64904 1
created -2.26 13.2981 2
created -1.9 39.8942 6
created -1.54 66.4904 10
created -1.18 6.64904 1
created -0.82 13.2981 2
created -0.46 13.2981 2
created -0.1 59.8413 9
created 0.26 66.4904 10
created 0.62 13.2981 2
created 0.98 13.2981 2
created 1.34 59.8413 9
created 1.7 26.5962 4
created 2.06 13.2981 2
created 2.42 19.9471 3
created 2.78 46.5433 7
created 3.14 26.5962 4
created 3.5 19.9471 3
created 3.86 59.8413 9
created 4.22 46.5433 7
created 4.58 53.1923 8
created 4.94 59.8413 9
created 5.3 13.2981 2
created 5.66 13.2981 2
created 6.02 66.4904 10
created 6.38 46.5433 7
created 6.74 26.5962 4
created 7.1 19.9471 3
created 7.46 19.9471 3
created 7.82 66.4904 10
created 8.18 19.9471 3
created 8.54 33.2452 5
created 8.9 53.1923 8
created 9.26 59.8413 9
created 9.62 53.1923 8
the total number of created peaks = 55 with sigma = 0.06
the total number of found peaks = 55 with sigma = 0.0600004 (+-1.50305e-05)
fit chi^2 = 3.05148e-06
found -9.82 (+-0.000141694) 66.4901 (+-0.155075) 10 (+-0.000782229)
found -7.66 (+-0.000141584) 66.4903 (+-0.155074) 10.0001 (+-0.000782224)
found -6.58 (+-0.000142084) 66.4905 (+-0.15514) 10.0001 (+-0.000782557)
found -1.54 (+-0.000141341) 66.4902 (+-0.155046) 10 (+-0.000782084)
found 0.26 (+-0.000141737) 66.4904 (+-0.155096) 10.0001 (+-0.000782338)
found 6.02 (+-0.000141605) 66.4903 (+-0.155078) 10.0001 (+-0.000782246)
found 7.82 (+-0.000141378) 66.4902 (+-0.155047) 10 (+-0.00078209)
found -6.22 (+-0.000150125) 59.8417 (+-0.147222) 9.00011 (+-0.000742618)
found 4.94 (+-0.000149432) 59.8414 (+-0.14714) 9.00007 (+-0.000742206)
found 9.26 (+-0.000150065) 59.8417 (+-0.147214) 9.00011 (+-0.00074258)
found -0.0999995 (+-0.000149566) 59.8415 (+-0.147157) 9.00008 (+-0.000742292)
found 1.34 (+-0.000149079) 59.8412 (+-0.147097) 9.00004 (+-0.00074199)
found 3.86 (+-0.000149509) 59.8414 (+-0.147148) 9.00007 (+-0.000742244)
found 9.62 (+-0.000157837) 53.1927 (+-0.138676) 8.00011 (+-0.00069951)
found -4.78 (+-0.000158507) 53.1923 (+-0.138724) 8.00005 (+-0.000699753)
found 4.58 (+-0.000159311) 53.1927 (+-0.138811) 8.00011 (+-0.000700191)
found 8.9 (+-0.000159115) 53.1926 (+-0.13879) 8.00009 (+-0.000700084)
found -5.86 (+-0.000169539) 46.5434 (+-0.129778) 7.00007 (+-0.000654628)
found 4.22 (+-0.000170595) 46.5437 (+-0.129874) 7.00011 (+-0.00065511)
found 6.38 (+-0.000170229) 46.5436 (+-0.129839) 7.00009 (+-0.000654936)
found -9.1 (+-0.000169619) 46.5433 (+-0.12978) 7.00005 (+-0.000654636)
found -4.06 (+-0.000169406) 46.5433 (+-0.129761) 7.00005 (+-0.000654542)
found 2.78 (+-0.000169466) 46.5433 (+-0.129766) 7.00005 (+-0.000654565)
found -1.9 (+-0.000183703) 39.8945 (+-0.120196) 6.00008 (+-0.000606296)
found -4.42 (+-0.000202238) 33.2456 (+-0.109791) 5.0001 (+-0.000553808)
found -8.02 (+-0.000201524) 33.2455 (+-0.109744) 5.00008 (+-0.000553572)
found -6.94 (+-0.000201782) 33.2455 (+-0.109761) 5.00009 (+-0.000553656)
found 8.54 (+-0.000201558) 33.2455 (+-0.109744) 5.00007 (+-0.000553572)
found -9.46 (+-0.000226877) 26.5967 (+-0.0982452) 4.00011 (+-0.00049557)
found -8.74 (+-0.000225312) 26.5964 (+-0.0981568) 4.00006 (+-0.000495124)
found 1.7 (+-0.000225603) 26.5965 (+-0.0981743) 4.00007 (+-0.000495212)
found 3.14 (+-0.000225625) 26.5964 (+-0.0981733) 4.00007 (+-0.000495207)
found 6.74 (+-0.000225625) 26.5964 (+-0.0981733) 4.00007 (+-0.000495207)
found -7.3 (+-0.000262355) 19.9477 (+-0.0851005) 3.0001 (+-0.000429265)
found 3.5 (+-0.00026191) 19.9476 (+-0.0850809) 3.00009 (+-0.000429166)
found 7.1 (+-0.000260485) 19.9473 (+-0.0850179) 3.00005 (+-0.000428848)
found 8.18 (+-0.000262355) 19.9477 (+-0.0851005) 3.0001 (+-0.000429265)
found -5.14 (+-0.000260436) 19.9474 (+-0.0850208) 3.00006 (+-0.000428863)
found -3.34 (+-0.000259766) 19.9472 (+-0.0849879) 3.00003 (+-0.000428697)
found -2.98 (+-0.000259208) 19.9472 (+-0.0849662) 3.00003 (+-0.000428588)
found 2.42 (+-0.000260807) 19.9474 (+-0.0850337) 3.00006 (+-0.000428928)
found 7.46 (+-0.00026175) 19.9476 (+-0.085075) 3.00009 (+-0.000429136)
found 0.619998 (+-0.000321425) 13.2985 (+-0.0694907) 2.00008 (+-0.000350526)
found 5.3 (+-0.000321194) 13.2985 (+-0.0694831) 2.00007 (+-0.000350488)
found -3.7 (+-0.00032125) 13.2984 (+-0.0694826) 2.00007 (+-0.000350485)
found -8.38 (+-0.000321072) 13.2984 (+-0.0694763) 2.00006 (+-0.000350453)
found -0.459998 (+-0.000321194) 13.2985 (+-0.0694831) 2.00007 (+-0.000350488)
found 0.980002 (+-0.000321194) 13.2985 (+-0.0694831) 2.00007 (+-0.000350488)
found 2.06 (+-0.000320226) 13.2983 (+-0.0694513) 2.00005 (+-0.000350327)
found 5.66 (+-0.000321425) 13.2985 (+-0.0694907) 2.00008 (+-0.000350526)
found -2.26 (+-0.000319568) 13.2983 (+-0.0694356) 2.00005 (+-0.000350248)
found -0.82 (+-0.000317842) 13.2981 (+-0.0693843) 2.00002 (+-0.000349989)
found -1.18 (+-0.000458503) 6.64954 (+-0.0491998) 1.00008 (+-0.000248174)
found -5.5 (+-0.000458224) 6.64944 (+-0.0491925) 1.00007 (+-0.000248137)
found -2.62 (+-0.000454543) 6.64922 (+-0.0491345) 1.00003 (+-0.000247845)
#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
Boolean (0=false, 1=true) (bool)
Definition RtypesCore.h:77
Int_t
int Int_t
Signed integer 4 bytes (int)
Definition RtypesCore.h:59
kFALSE
constexpr Bool_t kFALSE
Definition RtypesCore.h:108
Double_t
double Double_t
Double 8 bytes.
Definition RtypesCore.h:73
kRed
@ kRed
Definition Rtypes.h:67
TRangeDynCast
ROOT::Detail::TRangeCast< T, true > TRangeDynCast
TRangeDynCast is an adapter class that allows the typed iteration through a TCollection.
Definition TCollection.h:360
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:411
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:182
TH1F
1-D histogram with a float per channel (see TH1 documentation)
Definition TH1.h:878
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:614
TRandom::Uniform
virtual Double_t Uniform(Double_t x1=1)
Returns a uniform deviate on the interval (0, x1).
Definition TRandom.cxx:681
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:2118
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:89
TMath::Sqrt
Double_t Sqrt(Double_t x)
Returns the square root of x.
Definition TMath.h:673
TMath::TwoPi
constexpr Double_t TwoPi()
Definition TMath.h:47
Author

Definition in file FitAwmi.C.