Exemple #1
0
//____________________________________________________________________
void fitCircle(Int_t n=10000) {
   //generates n points around a circle and fit them
   TCanvas *c1 = new TCanvas("c1","c1",600,600);
   c1->SetGrid();
   gr = new TGraph(n);
   if (n> 999) gr->SetMarkerStyle(1);
   else        gr->SetMarkerStyle(3);
   TRandom3 r;
   Double_t x,y;
   for (Int_t i=0;i<n;i++) {
      r.Circle(x,y,r.Gaus(4,0.3));
      gr->SetPoint(i,x,y);
   }
   c1->DrawFrame(-5,-5,5,5);
   gr->Draw("p");


   auto chi2Function = [&](const Double_t *par) {
      //minimisation function computing the sum of squares of residuals
      // looping at the graph points
      Int_t np = gr->GetN();
      Double_t f = 0;
      Double_t *x = gr->GetX();
      Double_t *y = gr->GetY();
      for (Int_t i=0;i<np;i++) {
         Double_t u = x[i] - par[0];
         Double_t v = y[i] - par[1];
         Double_t dr = par[2] - std::sqrt(u*u+v*v);
         f += dr*dr;
      }
      return f;
   };

   // wrap chi2 funciton in a function object for the fit
   // 3 is the number of fit parameters (size of array par)
   ROOT::Math::Functor fcn(chi2Function,3);
   ROOT::Fit::Fitter  fitter;


   double pStart[3] = {0,0,1};
   fitter.SetFCN(fcn, pStart);
   fitter.Config().ParSettings(0).SetName("x0");
   fitter.Config().ParSettings(1).SetName("y0");
   fitter.Config().ParSettings(2).SetName("R");

   // do the fit 
   bool ok = fitter.FitFCN();
   if (!ok) {
      Error("line3Dfit","Line3D Fit failed");
   }   

   const ROOT::Fit::FitResult & result = fitter.Result();
   result.Print(std::cout);

   //Draw the circle on top of the points
   TArc *arc = new TArc(result.Parameter(0),result.Parameter(1),result.Parameter(2));
   arc->SetLineColor(kRed);
   arc->SetLineWidth(4);
   arc->Draw();
}
Int_t line3Dfit()
{
   gStyle->SetOptStat(0);
   gStyle->SetOptFit();


   //double e = 0.1;
   Int_t nd = 10000;


//    double xmin = 0; double ymin = 0;
//    double xmax = 10; double ymax = 10;

   TGraph2D * gr = new TGraph2D();

   // Fill the 2D graph
   double p0[4] = {10,20,1,2};

   // generate graph with the 3d points
   for (Int_t N=0; N<nd; N++) {
      double x,y,z = 0;
      // Generate a random number 
      double t = gRandom->Uniform(0,10);
      line(t,p0,x,y,z);
      double err = 1;
    // do a gaussian smearing around the points in all coordinates
      x += gRandom->Gaus(0,err);  
      y += gRandom->Gaus(0,err);  
      z += gRandom->Gaus(0,err);  
      gr->SetPoint(N,x,y,z);
      //dt->SetPointError(N,0,0,err);
   }
   // fit the graph now 
   
   ROOT::Fit::Fitter  fitter;
   
   
   // make the functor objet
   SumDistance2 sdist(gr);
#ifdef __CINT__
   ROOT::Math::Functor fcn(&sdist,4,"SumDistance2");
#else
   ROOT::Math::Functor fcn(sdist,4);
#endif
   // set the function and the initial parameter values
   double pStart[4] = {1,1,1,1};
   fitter.SetFCN(fcn,pStart);
   // set step sizes different than default ones (0.3 times parameter values)
   for (int i = 0; i < 4; ++i) fitter.Config().ParSettings(i).SetStepSize(0.01);
  
   bool ok = fitter.FitFCN();
   if (!ok) {
      Error("line3Dfit","Line3D Fit failed");
      return 1;
   }
   
   const ROOT::Fit::FitResult & result = fitter.Result();
   
   std::cout << "Total final distance square " << result.MinFcnValue() << std::endl;
   result.Print(std::cout);
   

   gr->Draw("p0");

   // get fit parameters
   const double * parFit = result.GetParams();

   
   // draw the fitted line
   int n = 1000;
   double t0 = 0;
   double dt = 10;
   TPolyLine3D *l = new TPolyLine3D(n);
   for (int i = 0; i <n;++i) {
      double t = t0+ dt*i/n;
      double x,y,z;
      line(t,parFit,x,y,z);
      l->SetPoint(i,x,y,z);
   }
   l->SetLineColor(kRed);
   l->Draw("same");
   
   // draw original line
   TPolyLine3D *l0 = new TPolyLine3D(n);
   for (int i = 0; i <n;++i) {
      double t = t0+ dt*i/n;
      double x,y,z;
      line(t,p0,x,y,z);
      l0->SetPoint(i,x,y,z);
   }
   l0->SetLineColor(kBlue);
   l0->Draw("same");
   return 0;
}
void view_SMEvents_3D_from_Hits() {
	/*** Displays an 3D occupancy plot for each SM Event. (stop mode event)

	Can choose which SM event to start at. (find "CHOOSE THIS" in this script)
	Input file must be a Hits file (_interpreted_Hits.root file).
	***/
	gROOT->Reset();

	// Setting up file, treereader, histogram
	TFile *f = new TFile("/home/pixel/pybar/tags/2.0.2_new/pyBAR-master/pybar/module_202_new/101_module_202_new_stop_mode_ext_trigger_scan_interpreted_Hits.root");


	if (!f) { // if we cannot open the file, print an error message and return immediately
		cout << "Error: cannot open the root file!\n";
		//return;
	}

	TTreeReader *reader = new TTreeReader("Table", f);

	TTreeReaderValue<UInt_t> h5_file_num(*reader, "h5_file_num");
	TTreeReaderValue<Long64_t> event_number(*reader, "event_number");
	TTreeReaderValue<UChar_t> tot(*reader, "tot");
	TTreeReaderValue<UChar_t> relative_BCID(*reader, "relative_BCID");
	TTreeReaderValue<Long64_t> SM_event_num(*reader, "SM_event_num");
	TTreeReaderValue<Double_t> x(*reader, "x");
	TTreeReaderValue<Double_t> y(*reader, "y");
	TTreeReaderValue<Double_t> z(*reader, "z");

	// Initialize the canvas and graph
	TCanvas *c1 = new TCanvas("c1","3D Occupancy for Specified SM Event", 1000, 10, 900, 550);
	c1->SetRightMargin(0.25);
	TGraph2D *graph = new TGraph2D();

	// Variables used to loop the main loop
	bool endOfReader = false; // if reached end of the reader
	bool quit = false; // if pressed q
	int smEventNum = 1; // the current SM-event CHOOSE THIS to start at desired SM event number
	
	// Main Loop (loops for every smEventNum)
	while (!endOfReader && !quit) {
		// Variables used in this main loop
		int startEntryNum = 0;
		int endEntryNum = 0;
		string histTitle = "3D Occupancy for SM Event ";
		string inString = "";
		bool fitFailed = false; // true if the 3D fit failed
		bool lastEvent = false;

		// Declaring some important output values for the current graph and/or line fit
		int numEntries = 0;
		double sumSquares = 0;

		// Get startEntryNum and endEntryNum
		startEntryNum = getEntryNumWithSMEventNum(reader, smEventNum);
		endEntryNum = getEntryNumWithSMEventNum(reader, smEventNum + 1);

		if (startEntryNum == -2) { // can't find the smEventNum
			cout << "Error: There should not be any SM event numbers that are missing." << "\n";
		} else if (startEntryNum == -3) { 
			endOfReader = true;
			break;
		} else if (endEntryNum == -3) { // assuming no SM event nums are skipped
			endEntryNum = reader->GetEntries(false);
			lastEvent = true;
		}

		// Fill TGraph with points and set title and axes
		graph = new TGraph2D(); // create a new TGraph to refresh

		reader->SetEntry(startEntryNum);
		for (int i = 0; i < endEntryNum - startEntryNum; i++) {
			graph->SetPoint(i, (*x - 0.001), (*y + 0.001), (*z - 0.001));
			endOfReader = !(reader->Next());
		}

		histTitle.append(to_string(smEventNum));
		graph->SetTitle(histTitle.c_str());
		graph->GetXaxis()->SetTitle("x (mm)");
		graph->GetYaxis()->SetTitle("y (mm)");
		graph->GetZaxis()->SetTitle("z (mm)");

		graph->GetXaxis()->SetLimits(0, 20); // ROOT is buggy, x and y use setlimits()
		graph->GetYaxis()->SetLimits(-16.8, 0); // but z uses setrangeuser()
		graph->GetZaxis()->SetRangeUser(0, 40.96);
		c1->SetTitle(histTitle.c_str());

		// 3D Fit, display results, draw graph and line fit, only accept "good" events, get input
		if (!endOfReader || lastEvent) {
			// Display some results
			numEntries = graph->GetN();
			cout << "Current SM Event Number: " << smEventNum << "\n";
			cout << "Number of entries:       " << numEntries << "\n";

			// Starting the fit. First, get decent starting parameters for the fit - do two 2D fits (one for x vs z, one for y vs z)
			TGraph *graphZX = new TGraph();
			TGraph *graphZY = new TGraph();
			reader->SetEntry(startEntryNum);
			for (int i = 0; i < endEntryNum - startEntryNum; i++) {
				graphZX->SetPoint(i, (*z - 0.001), (*x + 0.001));
				graphZY->SetPoint(i, (*z - 0.001), (*y + 0.001));
				reader->Next();
			}
			TFitResultPtr fitZX = graphZX->Fit("pol1", "WQS"); // w for ignore error of each pt, q for quiet (suppress results output), s for return a tfitresultptr
			TFitResultPtr fitZY = graphZY->Fit("pol1", "WQS");
			Double_t param0 = fitZX->GetParams()[0];
			Double_t param1 = fitZX->GetParams()[1];
			Double_t param2 = fitZY->GetParams()[0];
			Double_t param3 = fitZY->GetParams()[1];

			// // Draw the lines for the two 2D fits
			// int n = 2;
			// TPolyLine3D *lineZX = new TPolyLine3D(n);
			// TPolyLine3D *lineZY = new TPolyLine3D(n);
			// lineZX->SetPoint(0, param0, 0, 0);
			// lineZX->SetPoint(1, param0 + param1 * 40.96, 0, 40.96);
			// lineZX->SetLineColor(kBlue);
			// lineZX->Draw("same");
			// lineZY->SetPoint(0, 0, param2, 0);
			// lineZY->SetPoint(1, 0, param2 + param3 * 40.96, 40.96);
			// lineZY->SetLineColor(kGreen);
			// lineZY->Draw("same");


			// 3D FITTING CODE (based on line3Dfit.C), draw graph and line fit
			ROOT::Fit::Fitter  fitter;
		   	SumDistance2 sdist(graph);
#ifdef __CINT__
		   	ROOT::Math::Functor fcn(&sdist,4,"SumDistance2");
#else
		   	ROOT::Math::Functor fcn(sdist,4);
#endif
			// set the function and the initial parameter values
			double pStart[4] = {param0,param1,param2,param3};
			fitter.SetFCN(fcn,pStart);
			// set step sizes different than default ones (0.3 times parameter values)
			for (int i = 0; i < 4; ++i) fitter.Config().ParSettings(i).SetStepSize(0.01);

			bool ok = fitter.FitFCN();
			if (!ok) {
			  Error("line3Dfit","Line3D Fit failed");
			  fitFailed = true;
			} else {
				const ROOT::Fit::FitResult & result = fitter.Result();
				const double * fitParams = result.GetParams();

				sumSquares = result.MinFcnValue();
				std::cout << "Sum of distance squares:  " << sumSquares << std::endl;
				std::cout << "Sum of distance squares divided by numEntries: " << sumSquares/numEntries << std::endl;
				std::cout << "Theta : " << TMath::ATan(sqrt(pow(fitParams[1], 2) + pow(fitParams[3], 2))) << std::endl;
				// result.Print(std::cout); // (un)suppress results output

				// Draw the graph
				graph->SetMarkerStyle(8);
				graph->SetMarkerSize(0.5);
				graph->Draw("pcol");

				// Draw the fitted line
				int n = 1000;
				double t0 = 0; // t is the z coordinate
				double dt = 40.96;
				TPolyLine3D *l = new TPolyLine3D(n);
				for (int i = 0; i <n;++i) {
				  double t = t0+ dt*i/n;
				  double x,y,z;
				  line(t,fitParams,x,y,z);
				  l->SetPoint(i,x,y,z);
				}
				l->SetLineColor(kRed);
				l->Draw("same");

				// Access fit params and minfcnvalue
				// cout << "FIT1: " << fitParams[1] << "\n";
				// cout << "FIT2: " << result.MinFcnValue() << "\n";
			}

			// Criteria to be a good event (if not good entry, then don't show)
			bool isGoodEvent = false;

				// the following block of code finds the mean X, Y ans Z values
				double meanX = 0;
				double meanY = 0;
				double meanZ = 0;
				reader->SetEntry(startEntryNum);
				for (int i = 0; i < endEntryNum - startEntryNum; i++) {
					meanX += graph->GetX()[i];
					meanY += graph->GetY()[i];
					meanZ += graph->GetZ()[i];
					reader->Next();
				}
				meanX /= endEntryNum - startEntryNum;
				meanY /= endEntryNum - startEntryNum;
				meanZ /= endEntryNum - startEntryNum;

				// the following code block calculates the fraction of the hits in the smEvent that are inside a sphere, centered at the mean XYZ, of radius 'radius' (larger fraction means the track is less like a long streak and more like a dense blob)
				double radius = 1; // length in mm 
				double fractionInsideSphere = 0;
				reader->SetEntry(startEntryNum);
				for (int i = 0; i < endEntryNum - startEntryNum; i++) {
					double distanceFromMeanXYZ = sqrt(pow(graph->GetX()[i] - meanX, 2) + pow(graph->GetY()[i] - meanY, 2) + pow(graph->GetZ()[i] - meanZ, 2));
					if (distanceFromMeanXYZ <= 2) {
						fractionInsideSphere += 1;
					}
					reader->Next();
				}
				fractionInsideSphere /= endEntryNum - startEntryNum;

				cout << "fraction inside sphere: " << fractionInsideSphere << "\n";

			// if (numEntries >= 50 
			// 	&& sumSquares/numEntries < 2.0 
			// 	&& fractionInsideSphere < 0.8) {

			// 	isGoodEvent = true;
			// }

			isGoodEvent = true;

			if (isGoodEvent) { // won't show drawings or ask for input unless its a good event
				c1->Update(); // show all the drawings
				// handle input
				bool inStringValid = false;
	            do {
		            cout << "<Enter>: next event; 'b': previous SM event; [number]: specific SM event number; 'q': quit.\n";
		            getline(cin, inString);

		            // Handles behavior according to input
		            if (inString.empty()) { // <Enter>
		            	// leave things be
						inStringValid = true;
		            } else if (inString.compare("b") == 0) {
						smEventNum -= 2; // because it gets incremented once at the end of this do while loop
						inStringValid = true;
					} else if (inString.compare("q") == 0 || inString.compare(".q") == 0) {
						quit = true;
						inStringValid = true;
					} else if (canConvertStringToPosInt(inString)) {
						smEventNum = convertStringToPosInt(inString) - 1; // -1 because it gets incremented once at the end of this do while loop
						inStringValid = true;
					} // else, leave inStringValid as false, so that it asks for input again
				} while (!inStringValid);
			} else {
				cout << "\n";
			}

		}
		smEventNum++;
	}

	cout << "Exiting program.\n";
}
Int_t line3dfit_copy()
{
   gStyle->SetOptStat(0);
   gStyle->SetOptFit();


   //double e = 0.1;
   // Int_t nd = 5;


//    double xmin = 0; double ymin = 0;
//    double xmax = 10; double ymax = 10;

   TGraph2D * gr = new TGraph2D();

   // Fill the 2D graph
   // double p0[4] = {10,20,1,2};

   // generate graph with the 3d points
   // for (Int_t N=0; N<nd; N++) {
   //    double x,y,z = 0;
   //    // Generate a random number
   //    double t = gRandom->Uniform(0,10);
   //    line(t,p0,x,y,z);
   //    double err = 1;
   //  // do a gaussian smearing around the points in all coordinates
   //    x += gRandom->Gaus(0,err);
   //    y += gRandom->Gaus(0,err);
   //    z += gRandom->Gaus(0,err);
   //    gr->SetPoint(N,x,y,z);
   //    //dt->SetPointError(N,0,0,err);
   // }


   // gr->SetPoint(0, 3, 3, 5);
   // gr->SetPoint(1, 3, 3, 3);
   // gr->SetPoint(2, 4, 3.5, 5);
   // gr->SetPoint(3, 6.2, 7.3, 5.8);
   // gr->SetPoint(4, 9, 8, 7);
   // gr->SetPoint(5, 5, 5, 5);

   gr->SetPoint(0, 19, -4.25, 1.92);
   gr->SetPoint(1, 19, -4.30, 1.92);
   gr->SetPoint(2, 19, -4.35, 1.92);
   gr->SetPoint(3, 19, -4.40, 1.92);
   gr->SetPoint(4, 19, -4.45, 1.92);
   gr->SetPoint(5, 19, -4.50, 1.92);
   gr->SetPoint(6, 19, -4.55, 1.92);
   gr->SetPoint(7, 19, -4.60, 1.92);
   gr->SetPoint(8, 18.75, -4.30, 1.92);
   gr->SetPoint(9, 18.75, -4.35, 1.92);
   gr->SetPoint(10, 18.75, -4.40, 1.92);
   gr->SetPoint(11, 18.75, -4.45, 1.92);
   gr->SetPoint(12, 18.75, -4.50, 1.92);
   gr->SetPoint(13, 18.75, -4.55, 1.92);
   gr->SetPoint(14, 19, -4.20, 2.08);
   gr->SetPoint(15, 19, -4.65, 2.08);
   gr->SetPoint(16, 19, -4.70, 2.08);
   gr->SetPoint(17, 18.75, -4.25, 2.08);
   gr->SetPoint(18, 18.75, -4.60, 2.08);
   // gr->SetPoint(19, 19.001, -4.151, 2.241);
   // gr->SetPoint(20, 18.751, -4.201, 2.241);
   gr->SetPoint(19, 19., -4.15, 2.24);
   gr->SetPoint(20, 18.5723, -4.20, 2.24);

   // gr->SetMarkerStyle(8);
   // gr->Draw("p");
   
   // gr->Draw("p0");
   // TFitResultPtr fit = gr->Fit("pol1", "WS");
   // // fit->Print("V");
   // Double_t p0 = fit->Value(0);
   // Double_t p1 = fit->Value(1);

   // // draw the line
   // TPolyLine3D *l = new TPolyLine3D(2);
   // double dz = 8;
   // l->SetPoint(0,0,0,p0);
   // l->SetPoint(1,dz,0,dz * p1);

   // l->SetLineColor(kRed);
   // l->Draw("same");

   // fit the graph now, and make the functor objet

   ROOT::Fit::Fitter  fitter;

   SumDistance2 sdist(gr);
#ifdef __CINT__
   ROOT::Math::Functor fcn(&sdist,4,"SumDistance2");
#else
   ROOT::Math::Functor fcn(sdist,4);
#endif
   // set the function and the initial parameter values
   double pStart[4] = {1,1,1,1};
   fitter.SetFCN(fcn,pStart);
   // set step sizes different than default ones (0.3 times parameter values)
   for (int i = 0; i < 4; ++i) fitter.Config().ParSettings(i).SetStepSize(0.01);

   bool ok = fitter.FitFCN();
   if (!ok) {
      Error("line3Dfit","Line3D Fit failed");
      return 1;
   }

   const ROOT::Fit::FitResult & result = fitter.Result();

   std::cout << "Total final distance square " << result.MinFcnValue() << std::endl;
   // result.Print(std::cout); // @@@ suppress output


   // get fit parameters
   const double * parFit = result.GetParams();

   // draw the fitted line
   int n = 1000;
   double t0 = 0;
   double dt = 10;
   TPolyLine3D *l = new TPolyLine3D(n);
   for (int i = 0; i <n;++i) {
      double t = t0+ dt*i/n;
      double x,y,z;
      line(t,parFit,x,y,z);
      l->SetPoint(i,x,y,z);
   }
   l->SetLineColor(kRed);
   l->Draw("same");

   // Access to fit params and minfcnvalue
   cout << parFit[1] << "\n";
   cout << result.MinFcnValue() << "\n";


   // // draw original line
   // TPolyLine3D *l0 = new TPolyLine3D(n);
   // for (int i = 0; i <n;++i) {
   //    double t = t0+ dt*i/n;
   //    double x,y,z;
   //    line(t,p0,x,y,z);
   //    l0->SetPoint(i,x,y,z);
   // }
   // l0->SetLineColor(kBlue);
   // l0->Draw("same");
   

   return 0;
}