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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 53.1923 8
created -9.46 66.4904 10
created -9.1 59.8413 9
created -8.74 46.5433 7
created -8.38 33.2452 5
created -8.02 6.64904 1
created -7.66 33.2452 5
created -7.3 46.5433 7
created -6.94 59.8413 9
created -6.58 26.5962 4
created -6.22 59.8413 9
created -5.86 66.4904 10
created -5.5 66.4904 10
created -5.14 53.1923 8
created -4.78 66.4904 10
created -4.42 66.4904 10
created -4.06 33.2452 5
created -3.7 59.8413 9
created -3.34 66.4904 10
created -2.98 6.64904 1
created -2.62 53.1923 8
created -2.26 39.8942 6
created -1.9 46.5433 7
created -1.54 66.4904 10
created -1.18 6.64904 1
created -0.82 6.64904 1
created -0.46 66.4904 10
created -0.1 66.4904 10
created 0.26 66.4904 10
created 0.62 33.2452 5
created 0.98 6.64904 1
created 1.34 13.2981 2
created 1.7 13.2981 2
created 2.06 26.5962 4
created 2.42 13.2981 2
created 2.78 46.5433 7
created 3.14 66.4904 10
created 3.5 59.8413 9
created 3.86 26.5962 4
created 4.22 66.4904 10
created 4.58 59.8413 9
created 4.94 19.9471 3
created 5.3 39.8942 6
created 5.66 46.5433 7
created 6.02 6.64904 1
created 6.38 33.2452 5
created 6.74 59.8413 9
created 7.1 19.9471 3
created 7.46 39.8942 6
created 7.82 46.5433 7
created 8.18 39.8942 6
created 8.54 59.8413 9
created 8.9 39.8942 6
created 9.26 46.5433 7
created 9.62 46.5433 7
the total number of created peaks = 55 with sigma = 0.06
the total number of found peaks = 55 with sigma = 0.0600004 (+-1.27818e-05)
fit chi^2 = 2.68057e-06
found -9.46 (+-0.000133385) 66.4907 (+-0.145435) 10.0001 (+-0.000733603)
found -5.86 (+-0.000133501) 66.4908 (+-0.145451) 10.0001 (+-0.000733684)
found -5.5 (+-0.000133441) 66.4907 (+-0.145442) 10.0001 (+-0.000733642)
found -4.78 (+-0.000133441) 66.4907 (+-0.145442) 10.0001 (+-0.000733642)
found -4.42 (+-0.000133225) 66.4906 (+-0.145413) 10.0001 (+-0.000733496)
found -3.34 (+-0.000132666) 66.4904 (+-0.145344) 10.0001 (+-0.000733148)
found -1.54 (+-0.000132543) 66.4903 (+-0.145327) 10.0001 (+-0.000733061)
found -0.459999 (+-0.000132721) 66.4904 (+-0.145352) 10.0001 (+-0.000733187)
found -0.1 (+-0.000133557) 66.4908 (+-0.145458) 10.0001 (+-0.000733723)
found 0.26 (+-0.000133225) 66.4906 (+-0.145413) 10.0001 (+-0.000733496)
found 3.14 (+-0.000133319) 66.4906 (+-0.145426) 10.0001 (+-0.000733558)
found 4.22 (+-0.000133079) 66.4905 (+-0.145394) 10.0001 (+-0.000733399)
found -9.1 (+-0.000140705) 59.8417 (+-0.137985) 9.00011 (+-0.000696024)
found 3.5 (+-0.000140441) 59.8416 (+-0.137953) 9.00009 (+-0.000695865)
found 4.58 (+-0.000140325) 59.8415 (+-0.13794) 9.00009 (+-0.000695798)
found -6.94 (+-0.000140244) 59.8414 (+-0.137928) 9.00007 (+-0.00069574)
found -6.22 (+-0.000140441) 59.8416 (+-0.137953) 9.00009 (+-0.000695865)
found -3.7 (+-0.00014054) 59.8416 (+-0.137965) 9.0001 (+-0.000695923)
found 6.74 (+-0.000139965) 59.8413 (+-0.137895) 9.00005 (+-0.000695573)
found 8.54 (+-0.000140351) 59.8415 (+-0.137941) 9.00008 (+-0.000695803)
found -5.14 (+-0.000149604) 53.1928 (+-0.130134) 8.00013 (+-0.000656422)
found -9.82 (+-0.000149088) 53.1924 (+-0.130067) 8.00007 (+-0.000656083)
found -2.62 (+-0.000148282) 53.1922 (+-0.129994) 8.00005 (+-0.000655717)
found -8.74 (+-0.000159596) 46.5436 (+-0.121696) 7.00009 (+-0.000613862)
found -7.3 (+-0.000159596) 46.5436 (+-0.121696) 7.00009 (+-0.000613862)
found -1.9 (+-0.000159781) 46.5437 (+-0.121714) 7.00011 (+-0.000613953)
found 2.78 (+-0.000159224) 46.5435 (+-0.121664) 7.00008 (+-0.000613697)
found 5.66 (+-0.000158638) 46.5433 (+-0.121609) 7.00005 (+-0.000613422)
found 7.82 (+-0.000159437) 46.5435 (+-0.12168) 7.00008 (+-0.000613781)
found 9.26 (+-0.000159534) 46.5435 (+-0.12169) 7.00009 (+-0.000613829)
found 9.62 (+-0.000158072) 46.5436 (+-0.121573) 7.00009 (+-0.000613238)
found -2.26 (+-0.000172746) 39.8946 (+-0.112699) 6.0001 (+-0.000568478)
found 8.9 (+-0.00017284) 39.8947 (+-0.112707) 6.00011 (+-0.000568519)
found 5.3 (+-0.000172103) 39.8944 (+-0.112646) 6.00007 (+-0.000568211)
found 7.46 (+-0.000172103) 39.8944 (+-0.112646) 6.00007 (+-0.000568211)
found 8.18 (+-0.00017284) 39.8947 (+-0.112707) 6.00011 (+-0.000568519)
found -4.06 (+-0.00018999) 33.2458 (+-0.102934) 5.00013 (+-0.000519223)
found 0.619999 (+-0.000188543) 33.2455 (+-0.102838) 5.00007 (+-0.000518735)
found -8.38 (+-0.000188219) 33.2453 (+-0.102814) 5.00005 (+-0.000518613)
found -7.66 (+-0.000188219) 33.2453 (+-0.102814) 5.00005 (+-0.000518613)
found 6.38 (+-0.000188443) 33.2454 (+-0.10283) 5.00007 (+-0.000518697)
found -6.58 (+-0.000212797) 26.5968 (+-0.09209) 4.00012 (+-0.000464521)
found 3.86 (+-0.000212921) 26.5968 (+-0.0920974) 4.00013 (+-0.000464559)
found 2.06 (+-0.000210125) 26.5961 (+-0.0919392) 4.00003 (+-0.000463761)
found 4.94 (+-0.000245965) 19.9476 (+-0.0797637) 3.0001 (+-0.000402345)
found 7.1 (+-0.000245965) 19.9476 (+-0.0797637) 3.0001 (+-0.000402345)
found 1.7 (+-0.000299599) 13.2983 (+-0.0650786) 2.00004 (+-0.00032827)
found 2.42 (+-0.000301527) 13.2985 (+-0.0651356) 2.00007 (+-0.000328558)
found 1.34 (+-0.000297899) 13.2981 (+-0.0650309) 2.00002 (+-0.00032803)
found -2.98 (+-0.000433742) 6.6498 (+-0.046175) 1.00012 (+-0.000232917)
found -1.18001 (+-0.000428325) 6.6495 (+-0.0460932) 1.00008 (+-0.000232504)
found 6.02 (+-0.000430914) 6.64953 (+-0.0461283) 1.00008 (+-0.000232681)
found -8.02 (+-0.000429838) 6.64944 (+-0.0461107) 1.00007 (+-0.000232592)
found 0.979998 (+-0.00042743) 6.64931 (+-0.0460739) 1.00005 (+-0.000232406)
found -0.819995 (+-0.000428325) 6.6495 (+-0.0460932) 1.00008 (+-0.000232504)
#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:417
gRandom
R__EXTERN TRandom * gRandom
Definition TRandom.h:73
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.