fit2.C File Reference

Detailed Description

Fitting a 2-D histogram This tutorial illustrates :

• how to create a 2-d function
• fill a 2-d histogram randomly from this function
• fit the histogram
• display the fitted function on top of the histogram

This example can be executed via the interpreter or ACLIC

root > .x fit2.C
root > .x fit2.C++

Processing /mnt/build/workspace/root-makedoc-v614/rootspi/rdoc/src/v6-14-00-patches/tutorials/fit/fit2.C...
 FCN=1048.29 FROM MIGRAD    STATUS=CONVERGED     384 CALLS         385 TOTAL
                     EDM=1.71322e-07    STRATEGY= 1  ERROR MATRIX UNCERTAINTY   1.7 per cent
  EXT PARAMETER                                   STEP         FIRST   
  NO.   NAME      VALUE            ERROR          SIZE      DERIVATIVE 
   1  p0           3.92557e+02   1.80794e+00  -8.93084e-04   1.08687e-04
   2  p1          -2.99839e+00   1.13352e-02  -6.49022e-06  -1.81169e-02
   3  p2           2.98485e+00   7.41044e-03   3.61029e-06  -5.86707e-02
   4  p3          -3.00202e+00   1.11595e-02  -5.78995e-06  -1.75291e-02
   5  p4           2.97271e+00   7.15832e-03  -3.28537e-06  -4.12671e-02
   6  p5           6.01136e+02   9.83774e+00   3.21496e-03  -2.69039e-05
   7  p6           6.14587e-03   1.13579e-02   5.13988e-06   2.41415e-02
   8  p7           8.16263e-01   9.52518e-03   3.01650e-06  -8.27905e-03
   9  p8          -7.76134e-04   1.27854e-02   5.13130e-06  -5.37314e-03
  10  p9           9.11281e-01   1.09052e-02  -6.70501e-06   2.34956e-02
  11  p10          1.46899e+02   4.66962e+00  -3.42265e-04   5.38650e-05
  12  p11          3.98822e+00   1.79131e-02   1.99375e-05   9.00581e-03
  13  p12          7.27558e-01   1.32237e-02  -2.78349e-06   5.94851e-03
  14  p13          4.02638e+00   1.71292e-02   4.21852e-06   5.32470e-03
  15  p14          7.03078e-01   1.29939e-02   1.10617e-06  -3.47421e-02

#include "TF2.h"
#include "TH2.h"
#include "TMath.h"

Double_t g2(Double_t *x, Double_t *par) {
   Double_t r1 = Double_t((x[0]-par[1])/par[2]);
   Double_t r2 = Double_t((x[1]-par[3])/par[4]);
   return par[0]*TMath::Exp(-0.5*(r1*r1+r2*r2));
}
Double_t fun2(Double_t *x, Double_t *par) {
   Double_t *p1 = &par[0];
   Double_t *p2 = &par[5];
   Double_t *p3 = &par[10];
   Double_t result = g2(x,p1) + g2(x,p2) + g2(x,p3);
   return result;
}

void fit2() {
   const Int_t npar = 15;
   Double_t f2params[npar] =
      {100,-3,3,-3,3,160,0,0.8,0,0.9,40,4,0.7,4,0.7};
   TF2 *f2 = new TF2("f2",fun2,-10,10,-10,10, npar);
   f2->SetParameters(f2params);

   //Create an histogram and fill it randomly with f2
   TH2F *h2 = new TH2F("h2","from f2",40,-10,10,40,-10,10);
   Int_t nentries = 100000;
   h2->FillRandom("f2",nentries);
   //Fit h2 with original function f2
   Float_t ratio = 4*nentries/100000;
   f2params[ 0] *= ratio;
   f2params[ 5] *= ratio;
   f2params[10] *= ratio;
   f2->SetParameters(f2params);
   h2->Fit("f2");
   f2->Draw("cont1 same");
}

Author

Rene Brun

Definition in file fit2.C.