//____________________________________________________________________
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;
}