#include "TCanvas.h"
#include "TPad.h"
#include "TMultiGraph.h"
#include "TGraph.h"
#include "TGraphErrors.h"
#include "TAxis.h"
#include "TLegend.h"
#include "TLatex.h"
#include "TROOT.h"
#include "TPaveStats.h"
#include "TStyle.h"
#include "TFitResult.h"
#include "TF1.h"
#include "Math/ProbFuncMathCore.h"
#include "Math/QuantFuncMathCore.h"
#include <cstdlib>
#include <iostream>
#include <fstream>
#include <cstdlib> 
void sigmavalue() {
   
   gStyle->SetOptFit(0);
   const char *datain = "data_sigma_q.txt";
   const char *dataout = "sigmavalue_q.png";
   	ofstream results;
   	results.open("sigmavalue_results_q.txt",  ios::out);
   	
   
   TCanvas *c01 = new TCanvas("c01","multigraph",1280,1024);
   //c01->SetGrid();
   float offx=1.;
   float offy=1.8;
   float margr=0.08;
   float w=3;
   float margl=0.12;
   float line=2;
   gPad->SetLeftMargin(margl);
   gPad->SetRightMargin(margr);
   TGraphErrors *graph = new TGraphErrors(datain,"%lg %lg 0 %lg");
   graph->SetMarkerColor(kBlue);
   graph->SetLineColor(kBlue);
   graph->SetMarkerStyle(3);
   graph->SetMarkerSize(1.3);
   graph->SetLineWidth(line);
   graph->GetYaxis()->SetTitleSize(40);
   graph->GetYaxis()->SetTitleFont(43);
   graph->GetYaxis()->SetLabelFont(43);
   graph->GetYaxis()->SetLabelSize(40);
   graph->GetXaxis()->SetTitleSize(40);
   graph->GetXaxis()->SetTitleFont(43);
   //graph->GetXaxis()->SetLabelFont(43);
   graph->GetXaxis()->SetLabelSize(100);
   TF1 *fitspettro = new TF1("fitspettro", "pol0", 1,3);
   TPaveText *t=new TPaveText(0.7,0.85,0.75,0.9,"brNDC");
  // fitspettro->SetParName(0,"e_{h}");
   //fitspettro->SetParName(0,"k");
   fitspettro->SetParName(0,"q");
   fitspettro->SetLineColor(kRed+2);
   auto result= graph->Fit("fitspettro","S");
   double chi2 = result->Chi2(); 
double ndf = result->Ndf(); 
double pvalue = ROOT::Math::chisquared_cdf_c(chi2, ndf); 
   fitspettro->SetLineWidth(line);
   fitspettro->Draw();
   graph->Draw("ap");  
   fitspettro->GetYaxis()->SetTitleOffset(offy);
   fitspettro->GetXaxis()->SetTitleOffset(offx);
//   graph->SetTitle("Restitution coefficient");
   graph->SetTitle("");
   //graph->SetTitle("Initial height");
     // graph->GetXaxis()->SetTitle("Collision");
 //  graph->GetYaxis()->SetTitle("e_{h}");
  //graph->GetYaxis()->SetTitle("k");
   graph->GetYaxis()->SetTitle("ln(h_{0}/1m)");
   graph->GetYaxis()->SetTitleOffset(offy);
   graph->GetXaxis()->SetTitleOffset(offx);
  TLegend* leg = new TLegend(0.75, 0.75, .85, .85);
   leg->SetHeader("Legend");
   leg->SetNColumns(1);
   leg->AddEntry(graph, "Data", "ap");
   leg->AddEntry(fitspettro, "Fit", "l");  
   leg->Draw();
   gPad->Update();
/*  TPaveStats *stat = (TPaveStats*)(graph->FindObject("stats"));
    stat->SetTextColor(kRed+2);
    stat->SetX1NDC(0.85); stat->SetX2NDC(0.98);
   stat->SetY1NDC(0.79); stat->SetY2NDC(0.94);*/
    gPad->Update();
    gPad->Update();
     Int_t bin1= graph->GetXaxis()->FindBin(1);
          Int_t bin2= graph->GetXaxis()->FindBin(2);
               Int_t bin3= graph->GetXaxis()->FindBin(3);
    graph->GetHistogram()->GetXaxis()->SetBinLabel(bin1,"Cathetometer");
   gPad->Update();
     graph->GetXaxis()->ChangeLabel(bin1, 70, 0.03, 31, -1, -1,Form("Cathetometer"));
     gPad->Update();
     graph->GetXaxis()->ChangeLabel(bin2, 70, 0.03, 31, -1, -1,Form("Phyphox"));
     gPad->Update();
     graph->GetXaxis()->ChangeLabel(bin3, 70, 0.03, 31, -1, -1,Form("Arduino"));
   gPad->Update();
   gPad->Update();
   std::cout << "p value of the fit  : " << pvalue << std::endl;
   std::cout << "number of sigma is " << ROOT::Math::normal_quantile_c(0.5*pvalue,1) << std::endl;
   results << "p value of the fit  : " << pvalue << endl;
   results << "number of sigma is " << ROOT::Math::normal_quantile_c(0.5*pvalue,1)<<endl;
   c01->Print(dataout);

}