fitLinear.C File Reference

Detailed Description

Example of fitting with a linear function, using TLinearFitter This example is for a TGraphErrors, but it can also be used when fitting a histogram, a TGraph2D or a TMultiGraph

 
 
****************************************
Minimizer is Linear / Migrad
Chi2                      =      36.5406
NDf                       =           36
p0                        =     -7.07142   +/-   0.0233493   
p1                        =   -0.0194368   +/-   0.0354128   
p2                        =      2.03968   +/-   0.0136149   
p3                        =      1.00594   +/-   0.0139068   
 
****************************************
Minimizer is Linear / Migrad
Chi2                      =      46.7362
NDf                       =           38
p0                        =       1.0005   +/-   0.0242765   
p1                        =     0.985942   +/-   0.0279149   
 
****************************************
Minimizer is Linear / Migrad
Chi2                      =      43.6161
NDf                       =           38
p0                        =     -2.04095   +/-   0.0220454   
p1                        =      1.01171   +/-   0.00904363  

 
#include "TGraphErrors.h"
#include "TF1.h"
#include "TRandom.h"
#include "TCanvas.h"
#include "TLegend.h"
#include "TMath.h"
 
 
void makePoints(Int_t n, Double_t *x, Double_t *y, Double_t *e, Int_t p);
 
void fitLinear()
{
   Int_t n = 40;
   Double_t *x = new Double_t[n];
   Double_t *y = new Double_t[n];
   Double_t *e = new Double_t[n];
   TCanvas *myc = new TCanvas("myc",
      "Fitting 3 TGraphErrors with linear functions");
   myc->SetGrid();
 
   //Generate points along a 3rd degree polynomial:
   makePoints(n, x, y, e, 3);
   TGraphErrors *gre3 = new TGraphErrors(n, x, y, 0, e);
   gre3->Draw("a*");
   //Fit the graph with the predefined "pol3" function
   gre3->Fit("pol3");
   //Access the fit resuts
   TF1 *f3 = gre3->GetFunction("pol3");
   f3->SetLineWidth(1);
 
   //Generate points along a sin(x)+sin(2x) function
   makePoints(n, x, y, e, 2);
   TGraphErrors *gre2=new TGraphErrors(n, x, y, 0, e);
   gre2->Draw("*same");
   gre2->SetMarkerColor(kBlue);
   gre2->SetLineColor(kBlue);
   //The fitting function can be predefined and passed to the Fit function
   //The "++" mean that the linear fitter should be used, and the following
   //formula is equivalent to "[0]*sin(x) + [1]*sin(2*x)"
   //A function, defined this way, is in no way different from any other TF1,
   //it can be evaluated, drawn, you can get its parameters, etc.
   //The fit result (parameter values, parameter errors, chisquare, etc) are
   //written into the fitting function.
   TF1 *f2 = new TF1("f2", "sin(x) ++ sin(2*x)", -2, 2);
   gre2->Fit(f2);
   f2 = gre2->GetFunction("f2");
   f2->SetLineColor(kBlue);
   f2->SetLineWidth(1);
 
   //Generate points along a -2+exp(-x) function
   makePoints(n, x, y, e, 4);
   TGraphErrors *gre4=new TGraphErrors(n, x, y, 0, e);
   gre4->Draw("*same");
   gre4->SetMarkerColor(kRed);
   gre4->SetLineColor(kRed);
   //If you don't want to define the function, you can just pass the string
   //with the the formula:
   gre4->Fit("1 ++ exp(-x)");
   //Access the fit results:
   TF1 *f4 = gre4->GetFunction("1 ++ exp(-x)");
   f4->SetName("f4");
   f4->SetLineColor(kRed);
   f4->SetLineWidth(1);
 
   TLegend *leg = new TLegend(0.3, 0.7, 0.65, 0.9);
   leg->AddEntry(gre3, " -7 + 2*x*x + x*x*x", "p");
   leg->AddEntry(gre2, "sin(x) + sin(2*x)", "p");
   leg->AddEntry(gre4, "-2 + exp(-x)", "p");
   leg->Draw();
 
}
 
void makePoints(Int_t n, Double_t *x, Double_t *y, Double_t *e, Int_t p)
{
  Int_t i;
  TRandom r;
 
  if (p==2) {
    for (i=0; i<n; i++) {
      x[i] = r.Uniform(-2, 2);
      y[i]=TMath::Sin(x[i]) + TMath::Sin(2*x[i]) + r.Gaus()*0.1;
      e[i] = 0.1;
    }
  }
  if (p==3) {
    for (i=0; i<n; i++) {
      x[i] = r.Uniform(-2, 2);
      y[i] = -7 + 2*x[i]*x[i] + x[i]*x[i]*x[i]+ r.Gaus()*0.1;
      e[i] = 0.1;
    }
  }
  if (p==4) {
    for (i=0; i<n; i++) {
      x[i] = r.Uniform(-2, 2);
      y[i]=-2 + TMath::Exp(-x[i]) + r.Gaus()*0.1;
      e[i] = 0.1;
    }
  }
}

Author

Anna Kreshuk

Definition in file fitLinear.C.