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282 lines
11 KiB
282 lines
11 KiB
//+ Combined (simultaneous) fit of two histogram with separate functions
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// and some common parameters
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//
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// See http://root.cern.ch/phpBB3//viewtopic.php?f=3&t=11740#p50908
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// for a modified version working with Fumili or GSLMultiFit
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//
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// N.B. this macro must be compiled with ACliC
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//
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//Author: L. Moneta - Dec 2010
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#include "Fit/Fitter.h"
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#include "Fit/BinData.h"
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#include "Fit/Chi2FCN.h"
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#include "TH1.h"
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#include "TList.h"
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#include "Math/WrappedMultiTF1.h"
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#include "HFitInterface.h"
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#include "TCanvas.h"
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#include "TStyle.h"
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#include "TGraphErrors.h"
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#include "TLegend.h"
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#include "TMultiGraph.h"
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// definition of shared parameter
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// background function
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int iparB[3] = { 0, // exp amplitude in B histo
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1, // T_0
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2 // common parameter
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};
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// signal + background function
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int iparSB2[3] = { 0, // amplitude in S+B histo
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3, // T_0
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2, // common parameter
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};
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int iparSB3[3] = { 0, // amplitude
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4, // T_0
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2, // common parameter
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};
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int iparSB4[3] = { 0, // amplitude
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5, // T_0
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2, // common parameter
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};
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struct GlobalChi2 {
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GlobalChi2( ROOT::Math::IMultiGenFunction & f1,
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ROOT::Math::IMultiGenFunction & f2,
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ROOT::Math::IMultiGenFunction & f3,
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ROOT::Math::IMultiGenFunction & f4) :
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fChi2_1(&f1), fChi2_2(&f2), fChi2_3(&f3), fChi2_4(&f4) {}
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// parameter vector is first background (in common 1 and 2)
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// and then is signal (only in 2)
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double operator() (const double *par) const {
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double p1[3];
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for (int i = 0; i < 3; ++i) p1[i] = par[iparB[i] ];
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double p2[3];
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for (int i = 0; i < 3; ++i) p2[i] = par[iparSB2[i] ];
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double p3[3];
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for (int i = 0; i < 3; ++i) p3[i] = par[iparSB3[i] ];
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double p4[3];
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for (int i = 0; i < 3; ++i) p4[i] = par[iparSB4[i] ];
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return (*fChi2_1)(p1) + (*fChi2_2)(p2) + (*fChi2_3)(p3) + (*fChi2_4)(p4);
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}
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const ROOT::Math::IMultiGenFunction * fChi2_1;
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const ROOT::Math::IMultiGenFunction * fChi2_2;
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const ROOT::Math::IMultiGenFunction * fChi2_3;
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const ROOT::Math::IMultiGenFunction * fChi2_4;
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};
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void combinedFit_hit2() {
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#if defined(__CINT__) && !defined(__MAKECINT__)
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cout << "ERROR: This tutorial can run only using ACliC, you must run it by doing: " << endl;
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cout << "\t .x $ROOTSYS/tutorials/fit/combinedFit_hit.C+" << endl;
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return;
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#endif
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TF1 * fB = new TF1("fB","[0]*( (1- 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x )) / (1+[2]* (1- 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x ))*1.0*1.65901*TMath::Power(x,-1.7218)) + 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x ) ) ",0,1);//energy units in keV
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//TF1 * fB = new TF1("fB","[0]*( (1-[1]) / (1+[2]* (1- [1])*1.0*1.65901*TMath::Power(x,-1.7218)) +[1] ) ",0,1);
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TF1 * fSB2 = new TF1("fSB2","[0]*( (1- 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x )) / (1+[2]* (1- 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x ))*4.0*1.65901*TMath::Power(x,-1.7218)) + 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x ) ) ",0,1);//energy units in keV
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//TF1 * fSB2 = new TF1("fSB2","[0]*( (1-[1]) / (1+[2]* (1- [1])*4.0*1.65901*TMath::Power(x,-1.7218)) +[1] ) ",0,1);
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TF1 * fSB3 = new TF1("fSB3","[0]*( (1- 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x )) / (1+[2]* (1- 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x ))*36.0*1.65901*TMath::Power(x,-1.7218)) + 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x ) ) ",0,1);//energy units in keV
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//TF1 * fSB3 = new TF1("fSB3","[0]*( (1-[1]) / (1+[2]* (1- [1])*36.0*1.65901*TMath::Power(x,-1.7218)) +[1] ) ",0,1);
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TF1 * fSB4 = new TF1("fSB4","[0]*( (1- 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x )) / (1+[2]* (1- 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x ))*64.0*1.65901*TMath::Power(x,-1.7218)) + 0.5*(TMath::Log(2*0.511E6*x*x/(1-x*x)/[1]) -x*x )/(TMath::Log(2*0.511E6*x*x/(1-x*x)/68.7) -x*x ) ) ",0,1); //energy units in keV
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// TF1 * fSB4 = new TF1("fSB4","[0]*( (1-[1]) / (1+[2]* (1- [1])*64.0*1.65901*TMath::Power(x,-1.7218)) +[1] ) ",0,1);
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TGraphErrors * hB = new TGraphErrors("energylist_p_bpmbeta1.txt","%lg %lg %lg");
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TGraphErrors * hSB2 = new TGraphErrors("energylist_he_bpmbeta1.txt","%lg %lg %lg");
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TGraphErrors * hSB3 = new TGraphErrors("energylist_c_bpmbeta1.txt","%lg %lg %lg");
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TGraphErrors * hSB4 = new TGraphErrors("energylist_o_bpmbeta1.txt","%lg %lg %lg");
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TGraphErrors * hB_2 = new TGraphErrors("energylist_p_bpmbeta1.txt","%lg %lg %lg");
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TGraphErrors * hSB2_2 = new TGraphErrors("energylist_he_bpmbeta1.txt","%lg %lg %lg");
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TGraphErrors * hSB3_2 = new TGraphErrors("energylist_c_bpmbeta1.txt","%lg %lg %lg");
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TGraphErrors * hSB4_2 = new TGraphErrors("energylist_o_bpmbeta1.txt","%lg %lg %lg");
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// perform now global fit
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// TF1 * fSB2 = new TF1("fSB2","expo + gaus(2)",0,100);
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ROOT::Math::WrappedMultiTF1 wfB(*fB,1);
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ROOT::Math::WrappedMultiTF1 wfSB2(*fSB2,1);
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ROOT::Math::WrappedMultiTF1 wfSB3(*fSB3,1);
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ROOT::Math::WrappedMultiTF1 wfSB4(*fSB4,1);
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ROOT::Fit::DataOptions opt;
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ROOT::Fit::DataRange rangeB;
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// set the data range
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rangeB.SetRange(0.3,0.59);
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ROOT::Fit::BinData dataB(opt,rangeB);
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ROOT::Fit::FillData(dataB, hB);
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ROOT::Fit::DataRange rangeSB2;
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rangeSB2.SetRange(0.34,0.59);
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ROOT::Fit::BinData dataSB2(opt,rangeSB2);
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ROOT::Fit::FillData(dataSB2, hSB2);
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ROOT::Fit::DataRange rangeSB3;
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rangeSB3.SetRange(0.4,0.73);
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ROOT::Fit::BinData dataSB3(opt,rangeSB3);
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ROOT::Fit::FillData(dataSB3, hSB3);
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ROOT::Fit::DataRange rangeSB4;
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rangeSB4.SetRange(0.43,0.73);
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ROOT::Fit::BinData dataSB4(opt,rangeSB4);
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ROOT::Fit::FillData(dataSB4, hSB4);
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ROOT::Fit::Chi2Function chi2_B(dataB, wfB);
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ROOT::Fit::Chi2Function chi2_SB2(dataSB2, wfSB2);
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ROOT::Fit::Chi2Function chi2_SB3(dataSB3, wfSB3);
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ROOT::Fit::Chi2Function chi2_SB4(dataSB4, wfSB4);
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GlobalChi2 globalChi2(chi2_B, chi2_SB2, chi2_SB3, chi2_SB4);
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ROOT::Fit::Fitter fitter;
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const int Npar = 6;
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double par0[Npar] = {1.4,1E5, 0.005, 1e4,1e4,1e4};
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// double par0[Npar] = {1.4,0.000007,0.15,1.4, 0.00250,2, 0.005,2, 0.007};
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// create before the parameter settings in order to fix or set range on them
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fitter.Config().SetParamsSettings(Npar,par0);
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// fix 5-th parameter
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// fitter.Config().ParSettings(1).Fix();
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// set limits on the third and 4-th parameter
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fitter.Config().ParSettings(0).SetLimits(0,5);
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fitter.Config().ParSettings(2).SetLimits(0,1.0);
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fitter.Config().ParSettings(1).SetLimits(0,2E9);
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fitter.Config().ParSettings(3).SetLimits(0,2E6);//1
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fitter.Config().ParSettings(4).SetLimits(0,2E6);//10
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fitter.Config().ParSettings(5).SetLimits(0,2E6);//10
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// fitter.Config().ParSettings(4).SetStepSize(2);
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// fitter.Config().ParSettings(1).SetStepSize(0.1);
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// fitter.Config().ParSettings(6).SetStepSize(10);
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// fitter.Config().ParSettings(8).SetStepSize(10);
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fitter.Config().MinimizerOptions().SetPrintLevel(0);
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fitter.Config().SetMinimizer("Minuit2","Migrad"); //Minuit2
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//fitter.Config().SetNormErrors(true);
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// fit FCN function directly
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// (specify optionally data size and flag to indicate that is a chi2 fit)
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fitter.FitFCN(Npar,globalChi2,0,dataB.Size()+dataSB2.Size()+dataSB3.Size()+dataSB4.Size(),true);
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ROOT::Fit::FitResult result = fitter.Result();
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result.Print(std::cout, true);
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//result.PrintCovMatrix(std::cout);
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cout << "FitResult.Status() = " << result.Status() << endl;
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TCanvas * c1 = new TCanvas("Simfit","Simultaneous fit");
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// c1->Divide(2,2);
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// c1->cd(1);
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// gStyle->SetOptFit(1111);
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fB->SetFitResult( result, iparB);
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fB->SetRange(rangeB().first, rangeB().second);
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fB->SetLineColor(kRed);
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hB->GetListOfFunctions()->Add(fB);
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//hB->Draw("AP");
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// c1->cd(2);
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fSB2->SetFitResult( result, iparSB2);
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fSB2->SetRange(rangeSB2().first, rangeSB2().second);
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fSB2->SetLineColor(kRed);
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hSB2->GetListOfFunctions()->Add(fSB2);
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// hSB2->Draw("AP");
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// c1->cd(3);
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fSB3->SetFitResult( result, iparSB3);
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fSB3->SetRange(rangeSB3().first, rangeSB3().second);
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fSB3->SetLineColor(kRed);
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hSB3->GetListOfFunctions()->Add(fSB3);
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// hSB3->Draw("AP");
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// c1->cd(4);
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fSB4->SetFitResult( result, iparSB4);
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fSB4->SetRange(rangeSB4().first, rangeSB4().second);
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fSB4->SetLineColor(kRed);
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hSB4->GetListOfFunctions()->Add(fSB4);
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// hSB4->Draw("AP");
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TMultiGraph * mg_e9 = new TMultiGraph();
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mg_e9->Add(hB,"p"); hB->SetMarkerStyle(20);
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mg_e9->Add(hSB2,"p"); hSB2->SetMarkerStyle(21);
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mg_e9->Add(hSB3,"p"); hSB3->SetMarkerStyle(22);
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mg_e9->Add(hSB4,"p"); hSB4->SetMarkerStyle(23);
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mg_e9->Draw("a"); //must draw first before labeling axes
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mg_e9->SetTitle(" ");
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mg_e9->GetXaxis()->SetTitle("Lorentz #beta");
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mg_e9->GetYaxis()->SetTitle("dA/dE / (10^{-6} a.u./(Mev#upointion#upoints^{-1})");
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mg_e9->SetMinimum(0.5);
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mg_e9->SetMaximum(1.4);
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TF1 * tf1_birk1 = new TF1("tf1_birk1","[0]*(1/(1+[1]*1.65901*TMath::Power(x,-1.7218)))",0.3,0.59);
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TF1 * tf1_birk2 = new TF1("tf1_birk2","[0]*(1/(1+[1]*4*1.65901*TMath::Power(x,-1.7218)))",0.34,0.59);
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TF1 * tf1_birk3 = new TF1("tf1_birk3","[0]*(1/(1+[1]*36*1.65901*TMath::Power(x,-1.7218)))",0.4,0.73);
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TF1 * tf1_birk4 = new TF1("tf1_birk4","[0]*(1/(1+[1]*64*1.65901*TMath::Power(x,-1.7218)))",0.43,0.73);
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tf1_birk1->SetParameters(1.46123,0.0177651);tf1_birk1->SetLineStyle(2);tf1_birk1->SetLineColor(kBlack);
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tf1_birk2->SetParameters(1.46123,0.00682331);tf1_birk2->SetLineStyle(2);tf1_birk2->SetLineColor(kBlack);
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tf1_birk3->SetParameters(1.46123,0.00389243);tf1_birk3->SetLineStyle(2);tf1_birk3->SetLineColor(kBlack);
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tf1_birk4->SetParameters(1.46123,0.00310792);tf1_birk4->SetLineStyle(2);tf1_birk4->SetLineColor(kBlack);
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// hB_2->Fit(tf1_birk1);
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// hSB2_2->Fit(tf1_birk2);
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//hSB3_2->Fit(tf1_birk3);
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//hSB4_2->Fit(tf1_birk4);
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tf1_birk1->Draw("same");
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tf1_birk2->Draw("same");
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tf1_birk3->Draw("same");
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tf1_birk4->Draw("same");
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TLegend * mylegende9 = new TLegend(0.65,0.65,0.9,0.9);
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mylegende9->SetFillColor(0); // white background
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mylegende9->SetTextFont(22);
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mylegende9->SetBorderSize(0); // get rid of the box
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mylegende9->SetTextSize(0.035); // set text size
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mylegende9->AddEntry(hB,"Protons","p"); // options: p,l,f
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mylegende9->AddEntry(hSB2,"Helium","p"); // options: p,l,f
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mylegende9->AddEntry(hSB3,"Carbon","p"); // options: p,l,f
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mylegende9->AddEntry(hSB4,"Oxygen","p"); // options: p,l,f
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mylegende9->AddEntry(fB,"BVT Fit","l"); // options: p,l,f
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mylegende9->AddEntry(tf1_birk1,"Birks Fit","l"); // options: p,l,f
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// mylegende9->AddEntry(tf1_pow1,"[1]#upointpow(#beta,[2])}","l"); // options: p,l,f
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mylegende9->Draw();
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gPad->Modified();
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c1->SaveAs("figs/bvt_beta_combinedfit.pdf");
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c1->SaveAs("figs/bvt_beta_combinedfit.png");
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c1->SaveAs("figs/bvt_beta_combinedfit.C");
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}
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