PaulTest2.cxx

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// @(#)root/minuit2:$Id: PaulTest2.cxx 20880 2007-11-19 11:23:41Z rdm $
// Authors: M. Winkler, F. James, L. Moneta, A. Zsenei   2003-2005  

/**********************************************************************
 *                                                                    *
 * Copyright (c) 2005 LCG ROOT Math team,  CERN/PH-SFT                *
 *                                                                    *
 **********************************************************************/

#include "GaussFcn.h"
#include "Minuit2/FunctionMinimum.h"
#include "Minuit2/MnMigrad.h"
#include "Minuit2/MnMinos.h"
#include "Minuit2/MnPrint.h"

#include <iostream>
#include <fstream>


#ifdef USE_SEALBASE
#include "SealBase/Filename.h"
#include "SealBase/ShellEnvironment.h"
#endif

using namespace ROOT::Minuit2;


int main() {

  std::vector<double> positions;
  std::vector<double> measurements;
  std::vector<double> var;
  double nmeas = 0;

#ifdef USE_SEALBASE
  seal::Filename   inputFile (seal::Filename ("$SEAL/src/MathLibs/Minuit/tests/MnSim/paul2.txt").substitute (seal::ShellEnvironment ()));
  std::ifstream in(inputFile.Name() );
#else
  std::ifstream in("paul2.txt");
#endif
  if (!in) {
    std::cerr << "Error opening input data file" << std::endl;
    return 1; 
  }


  // read input data
  {
    double x = 0., y = 0., width = 0., err = 0., un1 = 0., un2 = 0.;
    while(in>>x>>y>>width>>err>>un1>>un2) {
      if(err < 1.e-8) continue;
      positions.push_back(x);
      measurements.push_back(y);
      var.push_back(err*err);
      nmeas += y;
    }
    std::cout<<"size= "<<var.size()<<std::endl;
    assert(var.size() > 0);
    std::cout<<"nmeas: "<<nmeas<<std::endl;
  }

  // create FCN function  
  GaussFcn fFCN(measurements, positions, var);

  std::vector<double> meas = fFCN.Measurements();
  std::vector<double> pos = fFCN.Positions();

  // create initial starting values for parameters
  double x = 0.;
  double x2 = 0.;
  double norm = 0.;
  double area = 0.;
  double dx = pos[1]-pos[0];
  for(unsigned int i = 0; i < meas.size(); i++) {
    norm += meas[i];
    x += (meas[i]*pos[i]);
    x2 += (meas[i]*pos[i]*pos[i]);
    area += dx*meas[i];
  }
  double mean = x/norm;
  double rms2 = x2/norm - mean*mean;

  std::cout<<"initial mean: "<<mean<<std::endl;
  std::cout<<"initial sigma: "<<sqrt(rms2)<<std::endl;
  std::cout<<"initial area: "<<area<<std::endl;
  std::vector<double> init_val(3);
  init_val[0] = mean;
  init_val[1] = sqrt(rms2);
  init_val[2] = area; 
  std::cout<<"initial fval: "<<fFCN(init_val)<<std::endl;
  
  MnUserParameters upar;
  upar.Add("mean", mean, 1.);
  upar.Add("sigma", sqrt(rms2), 1.);
  upar.Add("area", area, 10.);

  MnMigrad migrad(fFCN, upar);
  std::cout<<"start migrad "<<std::endl;
  FunctionMinimum min = migrad();
  std::cout<<"minimum: "<<min<<std::endl;

  std::cout<<"start Minos"<<std::endl;
  MnMinos Minos(fFCN, min);
  std::pair<double,double> e0 = Minos(0);
  std::pair<double,double> e1 = Minos(1);
  std::pair<double,double> e2 = Minos(2);
  
  std::cout<<"par0: "<<min.UserState().Value("mean")<<" "<<e0.first<<" "<<e0.second<<std::endl;
  std::cout<<"par1: "<<min.UserState().Value(1)<<" "<<e1.first<<" "<<e1.second<<std::endl;
  std::cout<<"par2: "<<min.UserState().Value(2)<<" "<<e2.first<<" "<<e2.second<<std::endl;

  return 0;
}

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