void setGraphOptions(TGraph2D &g)
{
g.SetTitle("");
g.SetMarkerColor(1);
g.SetMarkerStyle(24);
g.SetMarkerSize(.5);
}
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";
}
void kdTreeBinning() {
// -----------------------------------------------------------------------------------------------
// C r e a t e r a n d o m s a m p l e w i t h r e g u l a r b i n n i n g p l o t t i n g
// -----------------------------------------------------------------------------------------------
const UInt_t DATASZ = 10000;
const UInt_t DATADIM = 2;
const UInt_t NBINS = 50;
Double_t smp[DATASZ * DATADIM];
double mu[2] = {0,2};
double sig[2] = {2,3};
TRandom3 r;
r.SetSeed(1);
for (UInt_t i = 0; i < DATADIM; ++i)
for (UInt_t j = 0; j < DATASZ; ++j)
smp[DATASZ * i + j] = r.Gaus(mu[i], sig[i]);
UInt_t h1bins = (UInt_t) sqrt(NBINS);
TH2D* h1 = new TH2D("h1BinTest", "Regular binning", h1bins, -5., 5., h1bins, -5., 5.);
for (UInt_t j = 0; j < DATASZ; ++j)
h1->Fill(smp[j], smp[DATASZ + j]);
// ---------------------------------------------------------------------------------------------
// C r e a t e K D T r e e B i n n i n g o b j e c t w i t h T H 2 P o l y p l o t t i n g
// ---------------------------------------------------------------------------------------------
TKDTreeBinning* kdBins = new TKDTreeBinning(DATASZ, DATADIM, smp, NBINS);
UInt_t nbins = kdBins->GetNBins();
UInt_t dim = kdBins->GetDim();
const Double_t* binsMinEdges = kdBins->GetBinsMinEdges();
const Double_t* binsMaxEdges = kdBins->GetBinsMaxEdges();
TH2Poly* h2pol = new TH2Poly("h2PolyBinTest", "KDTree binning", kdBins->GetDataMin(0), kdBins->GetDataMax(0), kdBins->GetDataMin(1), kdBins->GetDataMax(1));
for (UInt_t i = 0; i < nbins; ++i) {
UInt_t edgeDim = i * dim;
h2pol->AddBin(binsMinEdges[edgeDim], binsMinEdges[edgeDim + 1], binsMaxEdges[edgeDim], binsMaxEdges[edgeDim + 1]);
}
for (UInt_t i = 1; i <= kdBins->GetNBins(); ++i)
h2pol->SetBinContent(i, kdBins->GetBinDensity(i - 1));
std::cout << "Bin with minimum density: " << kdBins->GetBinMinDensity() << std::endl;
std::cout << "Bin with maximum density: " << kdBins->GetBinMaxDensity() << std::endl;
TCanvas* c1 = new TCanvas("glc1", "TH2Poly from a kdTree",0,0,600,800);
c1->Divide(1,3);
c1->cd(1);
h1->Draw("lego");
c1->cd(2);
h2pol->Draw("COLZ L");
c1->Update();
/* Draw an equivalent plot showing the data points */
/*-------------------------------------------------*/
std::vector<Double_t> z = std::vector<Double_t>(DATASZ, 0.);
for (UInt_t i = 0; i < DATASZ; ++i)
z[i] = (Double_t) h2pol->GetBinContent(h2pol->FindBin(smp[i], smp[DATASZ + i]));
TGraph2D *g = new TGraph2D(DATASZ, smp, &smp[DATASZ], &z[0]);
gStyle->SetPalette(1);
g->SetMarkerStyle(20);
c1->cd(3);
g->Draw("pcol");
c1->Update();
// ---------------------------------------------------------
// make a new TH2Poly where bins are ordered by the density
// ---------------------------------------------------------
TH2Poly* h2polrebin = new TH2Poly("h2PolyBinTest", "KDTree binning", kdBins->GetDataMin(0), kdBins->GetDataMax(0), kdBins->GetDataMin(1), kdBins->GetDataMax(1));
h2polrebin->SetFloat();
/*---------------------------------*/
/* Sort the bins by their density */
/*---------------------------------*/
kdBins->SortBinsByDensity();
for (UInt_t i = 0; i < kdBins->GetNBins(); ++i) {
const Double_t* binMinEdges = kdBins->GetBinMinEdges(i);
const Double_t* binMaxEdges = kdBins->GetBinMaxEdges(i);
h2polrebin->AddBin(binMinEdges[0], binMinEdges[1], binMaxEdges[0], binMaxEdges[1]);
}
for (UInt_t i = 1; i <= kdBins->GetNBins(); ++i){
h2polrebin->SetBinContent(i, kdBins->GetBinDensity(i - 1));}
std::cout << "Bin with minimum density: " << kdBins->GetBinMinDensity() << std::endl;
std::cout << "Bin with maximum density: " << kdBins->GetBinMaxDensity() << std::endl;
// now make a vector with bin number vs position
for (UInt_t i = 0; i < DATASZ; ++i)
z[i] = (Double_t) h2polrebin->FindBin(smp[i], smp[DATASZ + i]);
TGraph2D *g2 = new TGraph2D(DATASZ, smp, &smp[DATASZ], &z[0]);
g2->SetMarkerStyle(20);
// plot new TH2Poly (ordered one) and TGraph2D
// The new TH2Poly has to be same as old one and the TGraph2D should be similar to
// the previous one. It is now made using as z value the bin number
TCanvas* c4 = new TCanvas("glc4", "TH2Poly from a kdTree (Ordered)",50,50,800,800);
c4->Divide(2,2);
c4->cd(1);
h2polrebin->Draw("COLZ L"); // draw as scatter plot
c4->cd(2);
g2->Draw("pcol");
c4->Update();
// make also the 1D binned histograms
TKDTreeBinning* kdX = new TKDTreeBinning(DATASZ, 1, &smp[0], 20);
TKDTreeBinning* kdY = new TKDTreeBinning(DATASZ, 1, &smp[DATASZ], 40);
kdX->SortOneDimBinEdges();
kdY->SortOneDimBinEdges();
TH1* hX=new TH1F("hX", "X projection", kdX->GetNBins(), kdX->GetOneDimBinEdges());
for(int i=0; i<kdX->GetNBins(); ++i){
hX->SetBinContent(i+1, kdX->GetBinDensity(i));
}
TH1* hY=new TH1F("hY", "Y Projection", kdY->GetNBins(), kdY->GetOneDimBinEdges());
for(int i=0; i<kdY->GetNBins(); ++i){
hY->SetBinContent(i+1, kdY->GetBinDensity(i));
}
c4->cd(3);
hX->Draw();
c4->cd(4);
hY->Draw();
}
void FitXS (int nminx = 0, int nmaxx = 1509, int nmintest = 0, int nmaxtest = 1509) {
////////////////////////////////////////////////////
// ftp://root.cern.ch/root/doc/ROOTUsersGuideHTML/ch09s05.html
TStyle *defaultStyle = new TStyle("defaultStyle","Default Style");
//gStyle->SetOptStat(0);
// defaultStyle->SetOptStat(0000);
// defaultStyle->SetOptFit(000);
// defaultStyle->SetPalette(1);
////////////////////////
defaultStyle->SetOptStat(0); // remove info box
/////// pad ////////////
defaultStyle->SetPadBorderMode(0);
defaultStyle->SetPadBorderSize(3);
defaultStyle->SetPadColor(0);
defaultStyle->SetPadTopMargin(0.1);
defaultStyle->SetPadBottomMargin(0.16);
defaultStyle->SetPadRightMargin(5.5);
defaultStyle->SetPadLeftMargin(0.18);
/////// canvas /////////
defaultStyle->SetCanvasBorderMode(1);
defaultStyle->SetCanvasColor(0);
// defaultStyle->SetCanvasDefH(600);
// defaultStyle->SetCanvasDefW(600);
/////// frame //////////
//defaultStyle->SetFrameBorderMode(1);
//defaultStyle->SetFrameBorderSize(1);
defaultStyle->SetFrameFillColor(0);
defaultStyle->SetFrameLineColor(1);
/////// label //////////
// defaultStyle->SetLabelOffset(0.005,"XY");
// defaultStyle->SetLabelSize(0.05,"XY");
//defaultStyle->SetLabelFont(46,"XY");
/////// title //////////
//defaultStyle->SetTitleW(0.6);
defaultStyle->SetTitleSize(0.08, "XYZ");
defaultStyle->SetTitleBorderSize(0);
defaultStyle->SetTitleX(0.2);
// defaultStyle->SetTitleOffset(1.1,"X");
// defaultStyle->SetTitleSize(0.01,"X");
// defaultStyle->SetTitleOffset(1.25,"Y");
// defaultStyle->SetTitleSize(0.05,"Y");
//defaultStyle->SetTitleFont(42, "XYZ");
/////// various ////////
defaultStyle->SetNdivisions(303,"Y");
defaultStyle->SetTitleFillColor(0);//SetTitleFillStyle(0, "Z");
//defaultStyle->SetTitleX(0.2);
//defaultStyle->SetTitleY(0.1);
//defaultStyle->SetTitleBorderSize(-0.1); // For the axis titles:
// defaultStyle->SetTitleColor(1, "XYZ");
// defaultStyle->SetTitleFont(42, "XYZ");
// defaultStyle->SetTitleYSize(0.08);
//defaultStyle->SetTitleXOffset(0.9);
//defaultStyle->SetTitleYOffset(1.05);
defaultStyle->SetTitleOffset(1.3, "Y"); // Another way to set the Offset
//defaultStyle->SetTitleOffset(1.0, "X"); // Another way to set the Offset
// For the axis labels:
defaultStyle->SetLabelColor(1, "XYZ");
//defaultStyle->SetLabelFont(46, "XYZ");
defaultStyle->SetLabelOffset(0.03, "XYZ");
defaultStyle->SetLabelSize(0.07, "XYZ");
//defaultStyle->SetLabelY(0.06);
// For the axis:
// defaultStyle->SetAxisColor(1, "XYZ");
defaultStyle->SetStripDecimals(kTRUE);
defaultStyle->SetTickLength(0.03, "XYZ");
defaultStyle->SetNdivisions(7, "XYZ");
// defaultStyle->SetPadTickX(1); // To get tick marks on the opposite side of the frame
// defaultStyle->SetPadTickY(1);
defaultStyle->cd();
///////////////////////////////////////////
nmin=nminx;
nmax=nmaxx;
if (nmin<0) nmin=0;
if (nmax>Npoints) nmax=Npoints;
// Read in the cross section values and the parameters space points
ifstream XSvals;
XSvals.open("list_all_translation_CX.txt");//"14TeV_CX_5k_opositecgw.ascii");// "8TeV_CX_5k_opositecgw.ascii");//
for (int i=nmin; i<nmax; i++) {
XSvals >> par0[i] >> par1[i] >> par2[i] >> par3[i] >> par4[i] >> cross_section[i] >> cross_sectionerr[i];
cout << "For point i = " << i << "pars are " << par0[i] << " " << par1[i] << " " << par2[i]
<< " " << par3[i] << " " << par4[i] << " and xs is " << cross_section[i] << endl;
}
cout << "**********************************************" << endl;
// Likelihood maximization
// -----------------------
// Minuit routine
TMinuit rmin(2);
rmin.SetFCN(Likelihood);
// Main initialization member function for MINUIT
rmin.mninit(5,6,7);
// Parameters needed to be unambiguous with MINOS
int iflag=0; // You can use this for selection
double arglis[4];
//arglis[0]=2;
arglis[0]=1;
// Sets the strategy to be used in calculating first and second derivatives
// and in certain minimization methods. 1 is default
rmin.mnexcm("SET STR", arglis, 1, iflag);
// Set fit parameters
double Start[15];// ={ 0.030642286182762914, 0.1502216514258229, 0.004287943879883482, 0.0016389029559123376, 0.01930407853512356, -0.12540818099961384, -0.02048425705808435, 0.04246248185144494, 0.02590360491719489, -0.05255851386689693, -0.010393610828707423, 0.02770339496466713, 0.005468667874225809, -0.011297300064522649, -0.02261561923548796}; // cx in pb
// double Start[15] = {2.2646, 1.102, 0.316898, 16, 192, -3, -1, 1, 7, 15, -8, -23, 4, 9, 200}; // normalized to SM
double Step[15];// ={ 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01 }; //={0.01};
double Min[15]; // ={-3.1415926};
double Max[15]; // = {3.1415926};
for (int i=0; i<15; i++) {
Start[i]=1.;
Step[i]=1;
Min[i]=-100000;
Max[i]=+100000;
}
TString parnamEj[15]={"A1","A2","A3","A4","A5","A6","A7","A8","A9","A10","A11","A12","A13","A14","A15"};
for (int i=0; i<15; i++) {
rmin.mnparm(i, parnamEj[i], Start[i], Step[i], Min[i], Max[i], iflag);
}
// Instructs Minuit to call subroutine FCN with the value of IFLAG
rmin.mnexcm("call fcn", arglis, 1, iflag); // command executed normally
// Causes minimization of the function by the method of Migrad
rmin.mnexcm("mini", arglis, 0, iflag);
// Read results
double a[15], err[15], pmin, pmax;
int ivar;
for (int i=0; i<15; i++) {
rmin.mnpout (i, parnamEj[i], a[i], err[i], pmin, pmax, ivar);
}
// End of program
// --------------
gROOT->Time();
cout<<endl<<" Making plots "<<endl;
cout<<"$A_1$ = "<<a[0]<<" $\\pm$ "<<err[0]<<" & $A_4$ = "<<a[3]<<" $\\pm$ "<<err[3]<<" & $A_7$ = "<<a[6]<<" $\\pm$ "<<err[6]<<" & $A_{10}$ = "<<a[9]<<" $\\pm$ "<<err[9]<<" & $A_{13}$ = "<<a[12]<<" $\\pm$ "<<err[12]<< " \\\ "<<endl;
cout<<"$A_2$ = "<<a[1]<<" $\\pm$ "<<err[1]<<" & $A_5$ = "<<a[4]<<" $\\pm$ "<<err[4]<<" & $A_8$ = "<<a[7]<<" $\\pm$ "<<err[7]<<" & $A_{11}$ = "<<a[10]<<" $\\pm$ "<<err[10]<<" & $A_{14}$ = "<<a[13]<<" $\\pm$ "<<err[13]<< " \\\ "<<endl;
cout<<"$A_3$ = "<<a[2]<<" $\\pm$ "<<err[2]<<" & $A_6$ = "<<a[5]<<" $\\pm$ "<<err[5]<<" & $A_9$ = "<<a[8]<<" $\\pm$ "<<err[8]<<" & $A_{12}$ = "<<a[11]<<" $\\pm$ "<<err[11]<<" & $A_{15}$ = "<<a[14]<<" $\\pm$ "<<err[14]<< " \\\ "<<endl;
cout<<endl<<" To mathematica: "<<endl;
cout<<"{"<<a[0]<<","<<a[1]<<","<<a[2]<<","<<a[3]<<","<<a[4]<<","<<a[5]<<","<<a[6]<<","<<a[7]<<","<<a[8]<<","<<a[9]<<","<<a[10]<<","<<a[11]<<","<<a[12]<<","<<a[13]<<","<<a[14]<<"}"<<endl;
cout<<endl<<" To mathematica (errors): "<<endl;
cout<<"{"<<err[0]<<","<<err[1]<<","<<err[2]<<","<<err[3]<<","<<err[4]<<","<<err[5]<<","<<err[6]<<","<<err[7]<<","<<err[8]<<","<<err[9]<<","<<err[10]<<","<<err[11]<<","<<err[12]<<","<<err[13]<<","<<err[14]<<"}"<<endl;
/////////////////
// plot the CX
////////////////
// plane b
double norm = 1; //0.013531;// 0.0041758;//1;// 8tev 13 tev 1;//
double kt5d=1.0;
double kl5d=1.0;
double c25d=0.0;
double mincg = -2.99, maxcg=2.99;
// cg ===> x
// c2g ===> y
TF2 *fg2 = new TF2("fg2","(([0]*[15]**4 + [1]*[17]**2 + [2]*[15]**2*[16]**2 + [3]*x**2*[16]**2 + [4]*y**2 + [5]*[17]*[15]**2 + [6]*[15]*[16]*[15]**2 + [7]*[15]*[16]*[17] + [8]*x*[16]*[17] + [9]*[17]*y + [10]*x*[16]*[15]**2 + [11]*y*[15]**2 + [12]*[16]*x*[15]*[16] + [13]*y*[15]*[16] + [14]*x*y*[16])/[18])",mincg,maxcg,mincg,maxcg);
fg2->SetParameter(0,a[0]);
fg2->SetParameter(1,a[1]);
fg2->SetParameter(2,a[2]);
fg2->SetParameter(3,a[3]);
fg2->SetParameter(4,a[4]);
fg2->SetParameter(5,a[5]);
fg2->SetParameter(6,a[6]);
fg2->SetParameter(7,a[7]);
fg2->SetParameter(8,a[8]);
fg2->SetParameter(9,a[9]);
fg2->SetParameter(10,a[10]);
fg2->SetParameter(11,a[11]);
fg2->SetParameter(12,a[12]);
fg2->SetParameter(13,a[13]);
fg2->SetParameter(14,a[14]);
fg2->SetTitle("kt = #kappa_{#lambda} = 1 , c_{2} = 0 ; c_{g} ; c_{2g}");
fg2->SetParameter(15,kt5d);
fg2->SetParameter(16,kl5d);
fg2->SetParameter(17,c25d);
fg2->SetParameter(18,norm); //0.013531
//fg2->SetMinimum(0);
fg2->SetContour(100);
//
////////////////////////////////
kt5d=1.0;
kl5d=10.0;
c25d=0.0;
// cg ===> x
// c2g ===> y
TF2 *fg10 = new TF2("fg10","([0]*[15]**4 + [1]*[17]**2 + [2]*[15]**2*[16]**2 + [3]*x**2*[16]**2 + [4]*y**2 + [5]*[17]*[15]**2 + [6]*[15]*[16]*[15]**2 + [7]*[15]*[16]*[17] + [8]*x*[16]*[17] + [9]*[17]*y + [10]*x*[16]*[15]**2 + [11]*y*[15]**2 + [12]*[16]*x*[15]*[16] + [13]*y*[15]*[16] + [14]*x*y*[16])/[18]",mincg,maxcg,mincg,maxcg);
fg10->SetParameter(0,a[0]);
fg10->SetParameter(1,a[1]);
fg10->SetParameter(2,a[2]);
fg10->SetParameter(3,a[3]);
fg10->SetParameter(4,a[4]);
fg10->SetParameter(5,a[5]);
fg10->SetParameter(6,a[6]);
fg10->SetParameter(7,a[7]);
fg10->SetParameter(8,a[8]);
fg10->SetParameter(9,a[9]);
fg10->SetParameter(10,a[10]);
fg10->SetParameter(11,a[11]);
fg10->SetParameter(12,a[12]);
fg10->SetParameter(13,a[13]);
fg10->SetParameter(14,a[14]);
fg10->SetTitle("");
fg10->SetParameter(15,kt5d);
fg10->SetParameter(16,kl5d);
fg10->SetParameter(17,c25d);
fg10->SetParameter(18,norm);// 0.013531
fg10->SetMinimum(0);
////////////////////////////////
kt5d=1.0;
kl5d=-10.0;
c25d=0.0;
// cg ===> x
// c2g ===> y
TF2 *fgm10 = new TF2("fgm10","([0]*[15]**4 + [1]*[17]**2 + [2]*[15]**2*[16]**2 + [3]*x**2*[16]**2 + [4]*y**2 + [5]*[17]*[15]**2 + [6]*[15]*[16]*[15]**2 + [7]*[15]*[16]*[17] + [8]*x*[16]*[17] + [9]*[17]*y + [10]*x*[16]*[15]**2 + [11]*y*[15]**2 + [12]*[16]*x*[15]*[16] + [13]*y*[15]*[16] + [14]*x*y*[16])/[18]",mincg,maxcg,mincg,maxcg);
fgm10->SetParameter(0,a[0]);
fgm10->SetParameter(1,a[1]);
fgm10->SetParameter(2,a[2]);
fgm10->SetParameter(3,a[3]);
fgm10->SetParameter(4,a[4]);
fgm10->SetParameter(5,a[5]);
fgm10->SetParameter(6,a[6]);
fgm10->SetParameter(7,a[7]);
fgm10->SetParameter(8,a[8]);
fgm10->SetParameter(9,a[9]);
fgm10->SetParameter(10,a[10]);
fgm10->SetParameter(11,a[11]);
fgm10->SetParameter(12,a[12]);
fgm10->SetParameter(13,a[13]);
fgm10->SetParameter(14,a[14]);
fgm10->SetTitle("");
fgm10->SetParameter(15,kt5d);
fgm10->SetParameter(16,kl5d);
fgm10->SetParameter(17,c25d);
fgm10->SetParameter(18,norm);//0.013531
fgm10->SetMinimum(0);
//
cout<<endl<<"Value of the formula in SM point: 0.013531 pb"<<a[0]<<endl;
cout<<"teste funcao cg , c2g : 0,0 "<< fg2->Eval(0,0)<<endl;
cout<<"teste funcao cg , c2g : -1,1 "<< fg2->Eval(-1,1)<<endl;
cout<<"teste funcao cg , c2g : 1,-1 "<< fg2->Eval(-1,1)<<endl;
cout<<" "<<endl;
////////////////////////////////////////////////////
double cg=0.0;
double c2g=0.0;
c25d=0.0;
// cg ===> x ===> kl
// c2g ===> y ===> kt
TF2 *SM0 = new TF2("SM0","(([0]*y**4 + [1]*[17]**2 + [2]*y**2*x**2 + [3]*[15]**2*x**2 + [4]*[15]**2 + [5]*[17]*y**2 + [6]*y*x*y**2 + [7]*[15]*x*[17] + [8]*[16]*x*[17] + [9]*[17]*y + [10]*[16]*x*[15]**2 + [11]*[16]*y**2 + [12]*x*[16]*[15]*x + [13]*[15]*[15]*x + [14]*[16]*[15])/[18])+[19]",-15,15,0.5,2.5);
SM0->SetParameter(0,a[0]);
SM0->SetParameter(1,a[1]);
SM0->SetParameter(2,a[2]);
SM0->SetParameter(3,a[3]);
SM0->SetParameter(4,a[4]);
SM0->SetParameter(5,a[5]);
SM0->SetParameter(6,a[6]);
SM0->SetParameter(7,a[7]);
SM0->SetParameter(8,a[8]);
SM0->SetParameter(9,a[9]);
SM0->SetParameter(10,a[10]);
SM0->SetParameter(11,a[11]);
SM0->SetParameter(12,a[12]);
SM0->SetParameter(13,a[13]);
SM0->SetParameter(14,a[14]);
SM0->SetParameter(15,cg); //==>y
SM0->SetParameter(16,c2g);//==>x
SM0->SetParameter(17,c25d);
SM0->SetParameter(18,norm);// 0.013531
SM0->SetParameter(19,0.0001);// 0.013531
SM0->SetTitle("c_{2} = c_{2g} = c_{g} = 0 ; #kappa_{#lambda} ; #kappa_{t}");
//SM0->SetMinimum(0);
SM0->SetContour(200);
//
cout<<endl<<"Value of the formula in SM point: 0.013531 pb "<<endl;
cout<<"teste funcao kl , kt : 1,1 "<< SM0->Eval(1,1)<<endl;
cout<<"teste funcao kl , kt : -10, 1 "<< SM0->Eval(-10,1)<<endl;
cout<<"teste funcao kl , kt : 10, 1 "<< SM0->Eval(10,1)<<endl;
////////////////////////////////
kt5d=1.0;
kl5d=1.0;
c25d=0.0;
// cg ===> x ==> c2
// c2g ===> y ==> kt
TF2 *l1 = new TF2("l1","([0]*y**4 + [1]*x**2 + [2]*y**2*[16]**2 + [3]*[17]**2*[16]**2 + [4]*[15]**2 + [5]*x*y**2 + [6]*y*[16]*y**2 + [7]*y*[16]*x + [8]*[17]*[16]*x + [9]*x*[15] + [10]*[17]*[16]*y**2 + [11]*[15]*y**2 + [12]*[16]*[17]*y*[16] + [13]*[15]*y*[16] + [14]*[17]*[15]*[16])/[18]",-4,4,0.5,2.5);
l1->SetParameter(0,a[0]);
l1->SetParameter(1,a[1]);
l1->SetParameter(2,a[2]);
l1->SetParameter(3,a[3]);
l1->SetParameter(4,a[4]);
l1->SetParameter(5,a[5]);
l1->SetParameter(6,a[6]);
l1->SetParameter(7,a[7]);
l1->SetParameter(8,a[8]);
l1->SetParameter(9,a[9]);
l1->SetParameter(10,a[10]);
l1->SetParameter(11,a[11]);
l1->SetParameter(12,a[12]);
l1->SetParameter(13,a[13]);
l1->SetParameter(14,a[14]);
l1->SetTitle("#kappa_{#lambda} =1 , c_{2g} = c_{g} = 0 ; c_{2} ; #kappa_{t}");
l1->SetParameter(15,c2g); //==> c2g
l1->SetParameter(16,kl5d);
l1->SetParameter(17,cg); //==> cg
l1->SetParameter(18,norm);//0.013531
//l1->->SetRange(1e1,0.1,1e3,1);
//l1->SetMaximum(4e2);
//l1->SetMinimum(0);
//
cout<<endl<<"Value of the formula in SM point: 0.013531 pb"<<a[0]<<endl;
cout<<"teste funcao cg , c2g : 0,0 "<< l1->Eval(0,1)<<endl;
cout<<"teste funcao cg , c2g : -1,1 "<< l1->Eval(-1,1)<<endl;
cout<<"teste funcao cg , c2g : 1,-1 "<< l1->Eval(-1,1)<<endl;
cout<<" "<<endl;
////////////////////////////////
kt5d=1.0;
kl5d=0.0;
c25d=0.0;
// cg ===> x ==> c2
// c2g ===> y ==> kt
TF2 *l0 = new TF2("l0","([0]*y**4 + [1]*x**2 + [2]*y**2*[16]**2 + [3]*[17]**2*[16]**2 + [4]*[15]**2 + [5]*x*y**2 + [6]*y*[16]*y**2 + [7]*y*[16]*x + [8]*[17]*[16]*x + [9]*x*[15] + [10]*[17]*[16]*y**2 + [11]*[15]*y**2 + [12]*[16]*[17]*y*[16] + [13]*[15]*y*[16] + [14]*[17]*[15]*[16])/[18]",-4,4,0.5,2.5);
l0->SetParameter(0,a[0]);
l0->SetParameter(1,a[1]);
l0->SetParameter(2,a[2]);
l0->SetParameter(3,a[3]);
l0->SetParameter(4,a[4]);
l0->SetParameter(5,a[5]);
l0->SetParameter(6,a[6]);
l0->SetParameter(7,a[7]);
l0->SetParameter(8,a[8]);
l0->SetParameter(9,a[9]);
l0->SetParameter(10,a[10]);
l0->SetParameter(11,a[11]);
l0->SetParameter(12,a[12]);
l0->SetParameter(13,a[13]);
l0->SetParameter(14,a[14]);
l0->SetTitle("");
l0->SetParameter(15,c2g); //==> c2g
l0->SetParameter(16,kl5d);
l0->SetParameter(17,cg); //==> cg
l0->SetParameter(18,norm);//0.013531
l0->SetMinimum(0);
//
cout<<endl<<"Value of the formula in SM point: 0.013531 pb"<<a[0]<<endl;
cout<<"teste funcao cg , c2g : 0,0 "<< l0->Eval(0,1)<<endl;
cout<<"teste funcao cg , c2g : -1,1 "<< l0->Eval(-1,1)<<endl;
cout<<"teste funcao cg , c2g : 1,-1 "<< l0->Eval(-1,1)<<endl;
cout<<" "<<endl;
////////////////////////////////
kt5d=1.0;
kl5d=2.4;
c25d=0.0;
// cg ===> x ==> c2
// c2g ===> y ==> kt
TF2 *l24 = new TF2("l24","([0]*y**4 + [1]*x**2 + [2]*y**2*[16]**2 + [3]*[17]**2*[16]**2 + [4]*[15]**2 + [5]*x*y**2 + [6]*y*[16]*y**2 + [7]*y*[16]*x + [8]*[17]*[16]*x + [9]*x*[15] + [10]*[17]*[16]*y**2 + [11]*[15]*y**2 + [12]*[16]*[17]*y*[16] + [13]*[15]*y*[16] + [14]*[17]*[15]*[16])/[18]",-4,4,0.5,2.5);
l24->SetParameter(0,a[0]);
l24->SetParameter(1,a[1]);
l24->SetParameter(2,a[2]);
l24->SetParameter(3,a[3]);
l24->SetParameter(4,a[4]);
l24->SetParameter(5,a[5]);
l24->SetParameter(6,a[6]);
l24->SetParameter(7,a[7]);
l24->SetParameter(8,a[8]);
l24->SetParameter(9,a[9]);
l24->SetParameter(10,a[10]);
l24->SetParameter(11,a[11]);
l24->SetParameter(12,a[12]);
l24->SetParameter(13,a[13]);
l24->SetParameter(14,a[14]);
l24->SetTitle("");
l24->SetParameter(15,c2g); //==> c2g
l24->SetParameter(16,kl5d);
l24->SetParameter(17,cg); //==> cg
l24->SetParameter(18,norm);//0.013531
l24->SetMinimum(0);
//
cout<<endl<<"Value of the formula in SM point: 0.013531 pb"<<a[0]<<endl;
cout<<"teste funcao cg , c2g : 0,0 "<< l24->Eval(0,1)<<endl;
cout<<"teste funcao cg , c2g : -1,1 "<< l24->Eval(-1,1)<<endl;
cout<<"teste funcao cg , c2g : 1,-1 "<< l24->Eval(-1,1)<<endl;
cout<<" "<<endl;
////////////////////////////////
kt5d=1.0;
kl5d=5.0;
c25d=0.0;
// cg ===> x ==> c2
// c2g ===> y ==> kt
TF2 *l5 = new TF2("l5","([0]*y**4 + [1]*x**2 + [2]*y**2*[16]**2 + [3]*[17]**2*[16]**2 + [4]*[15]**2 + [5]*x*y**2 + [6]*y*[16]*y**2 + [7]*y*[16]*x + [8]*[17]*[16]*x + [9]*x*[15] + [10]*[17]*[16]*y**2 + [11]*[15]*y**2 + [12]*[16]*[17]*y*[16] + [13]*[15]*y*[16] + [14]*[17]*[15]*[16])/[18]",-4,4,0.5,2.5);
l5->SetParameter(0,a[0]);
l5->SetParameter(1,a[1]);
l5->SetParameter(2,a[2]);
l5->SetParameter(3,a[3]);
l5->SetParameter(4,a[4]);
l5->SetParameter(5,a[5]);
l5->SetParameter(6,a[6]);
l5->SetParameter(7,a[7]);
l5->SetParameter(8,a[8]);
l5->SetParameter(9,a[9]);
l5->SetParameter(10,a[10]);
l5->SetParameter(11,a[11]);
l5->SetParameter(12,a[12]);
l5->SetParameter(13,a[13]);
l5->SetParameter(14,a[14]);
l5->SetTitle("");
l5->SetParameter(15,c2g); //==> c2g
l5->SetParameter(16,kl5d);
l5->SetParameter(17,cg); //==> cg
l5->SetParameter(18,norm);//0.013531
l5->SetMinimum(0);
//
cout<<endl<<"Value of the formula in SM point: 0.013531 pb"<<a[0]<<endl;
cout<<"teste funcao cg , c2g : 0,0 "<< l5->Eval(0,1)<<endl;
cout<<"teste funcao cg , c2g : -1,1 "<< l5->Eval(-1,1)<<endl;
cout<<"teste funcao cg , c2g : 1,-1 "<< l5->Eval(-1,1)<<endl;
cout<<" "<<endl;
////////////////////////////////
kt5d=1.0;
kl5d=10.0;
c25d=0.0;
// cg ===> x ==> c2
// c2g ===> y ==> kt
TF2 *l10 = new TF2("l10","([0]*y**4 + [1]*x**2 + [2]*y**2*[16]**2 + [3]*[17]**2*[16]**2 + [4]*[15]**2 + [5]*x*y**2 + [6]*y*[16]*y**2 + [7]*y*[16]*x + [8]*[17]*[16]*x + [9]*x*[15] + [10]*[17]*[16]*y**2 + [11]*[15]*y**2 + [12]*[16]*[17]*y*[16] + [13]*[15]*y*[16] + [14]*[17]*[15]*[16])/[18]",-4,4,0.5,2.5);
l10->SetParameter(0,a[0]);
l10->SetParameter(1,a[1]);
l10->SetParameter(2,a[2]);
l10->SetParameter(3,a[3]);
l10->SetParameter(4,a[4]);
l10->SetParameter(5,a[5]);
l10->SetParameter(6,a[6]);
l10->SetParameter(7,a[7]);
l10->SetParameter(8,a[8]);
l10->SetParameter(9,a[9]);
l10->SetParameter(10,a[10]);
l10->SetParameter(11,a[11]);
l10->SetParameter(12,a[12]);
l10->SetParameter(13,a[13]);
l10->SetParameter(14,a[14]);
l10->SetTitle("");
l10->SetParameter(15,c2g); //==> c2g
l10->SetParameter(16,kl5d);
l10->SetParameter(17,cg); //==> cg
l10->SetParameter(18,norm);//0.013531
l10->SetMinimum(0);
//
cout<<endl<<"Value of the formula in SM point: 0.013531 pb"<<a[0]<<endl;
cout<<"teste funcao cg , c2g : 0,0 "<< l10->Eval(0,1)<<endl;
cout<<"teste funcao cg , c2g : -1,1 "<< l10->Eval(-1,1)<<endl;
cout<<"teste funcao cg , c2g : 1,-1 "<< l10->Eval(-1,1)<<endl;
cout<<" "<<endl;
////////////////////////////////
kt5d=1.0;
kl5d=-2.4;
c25d=0.0;
// cg ===> x ==> c2
// c2g ===> y ==> kt
TF2 *lm24 = new TF2("lm24","([0]*y**4 + [1]*x**2 + [2]*y**2*[16]**2 + [3]*[17]**2*[16]**2 + [4]*[15]**2 + [5]*x*y**2 + [6]*y*[16]*y**2 + [7]*y*[16]*x + [8]*[17]*[16]*x + [9]*x*[15] + [10]*[17]*[16]*y**2 + [11]*[15]*y**2 + [12]*[16]*[17]*y*[16] + [13]*[15]*y*[16] + [14]*[17]*[15]*[16])/[18]",-17,17,0.5,2.5);
lm24->SetParameter(0,a[0]);
lm24->SetParameter(1,a[1]);
lm24->SetParameter(2,a[2]);
lm24->SetParameter(3,a[3]);
lm24->SetParameter(4,a[4]);
lm24->SetParameter(5,a[5]);
lm24->SetParameter(6,a[6]);
lm24->SetParameter(7,a[7]);
lm24->SetParameter(8,a[8]);
lm24->SetParameter(9,a[9]);
lm24->SetParameter(10,a[10]);
lm24->SetParameter(11,a[11]);
lm24->SetParameter(12,a[12]);
lm24->SetParameter(13,a[13]);
lm24->SetParameter(14,a[14]);
lm24->SetTitle("");
lm24->SetParameter(15,c2g); //==> c2g
lm24->SetParameter(16,kl5d);
lm24->SetParameter(17,cg); //==> cg
lm24->SetParameter(18,norm);//0.013531
lm24->SetMinimum(0);
//
cout<<endl<<"Value of the formula in SM point: 0.013531 pb"<<a[0]<<endl;
cout<<"teste funcao cg , c2g : 0,0 "<< lm24->Eval(0,1)<<endl;
cout<<"teste funcao cg , c2g : -1,1 "<< lm24->Eval(-1,1)<<endl;
cout<<"teste funcao cg , c2g : 1,-1 "<< lm24->Eval(-1,1)<<endl;
cout<<" "<<endl;
////////////////////////////////
kt5d=1.0;
kl5d=-5.0;
c25d=0.0;
// cg ===> x ==> c2
// c2g ===> y ==> kt
TF2 *lm5 = new TF2("lm5","([0]*y**4 + [1]*x**2 + [2]*y**2*[16]**2 + [3]*[17]**2*[16]**2 + [4]*[15]**2 + [5]*x*y**2 + [6]*y*[16]*y**2 + [7]*y*[16]*x + [8]*[17]*[16]*x + [9]*x*[15] + [10]*[17]*[16]*y**2 + [11]*[15]*y**2 + [12]*[16]*[17]*y*[16] + [13]*[15]*y*[16] + [14]*[17]*[15]*[16])/[18]",-4,4,0.5,2.5);
lm5->SetParameter(0,a[0]);
lm5->SetParameter(1,a[1]);
lm5->SetParameter(2,a[2]);
lm5->SetParameter(3,a[3]);
lm5->SetParameter(4,a[4]);
lm5->SetParameter(5,a[5]);
lm5->SetParameter(6,a[6]);
lm5->SetParameter(7,a[7]);
lm5->SetParameter(8,a[8]);
lm5->SetParameter(9,a[9]);
lm5->SetParameter(10,a[10]);
lm5->SetParameter(11,a[11]);
lm5->SetParameter(12,a[12]);
lm5->SetParameter(13,a[13]);
lm5->SetParameter(14,a[14]);
lm5->SetTitle("");
lm5->SetParameter(15,c2g); //==> c2g
lm5->SetParameter(16,kl5d);
lm5->SetParameter(17,cg); //==> cg
lm5->SetParameter(18,norm);//0.013531
lm5->SetMinimum(0);
//
cout<<endl<<"Value of the formula in SM point: 0.013531 pb"<<a[0]<<endl;
cout<<"teste funcao cg , c2g : 0,0 "<< lm5->Eval(0,1)<<endl;
cout<<"teste funcao cg , c2g : -1,1 "<< lm5->Eval(-1,1)<<endl;
cout<<"teste funcao cg , c2g : 1,-1 "<< lm5->Eval(-1,1)<<endl;
cout<<" "<<endl;
////////////////////////////////
kt5d=1.0;
kl5d=-10.0;
c25d=0.0;
// cg ===> x ==> c2
// c2g ===> y ==> kt
TF2 *lm10 = new TF2("lm10","([0]*y**4 + [1]*x**2 + [2]*y**2*[16]**2 + [3]*[17]**2*[16]**2 + [4]*[15]**2 + [5]*x*y**2 + [6]*y*[16]*y**2 + [7]*y*[16]*x + [8]*[17]*[16]*x + [9]*x*[15] + [10]*[17]*[16]*y**2 + [11]*[15]*y**2 + [12]*[16]*[17]*y*[16] + [13]*[15]*y*[16] + [14]*[17]*[15]*[16])/[18]",-4,4,0.5,2.5);
lm10->SetParameter(0,a[0]);
lm10->SetParameter(1,a[1]);
lm10->SetParameter(2,a[2]);
lm10->SetParameter(3,a[3]);
lm10->SetParameter(4,a[4]);
lm10->SetParameter(5,a[5]);
lm10->SetParameter(6,a[6]);
lm10->SetParameter(7,a[7]);
lm10->SetParameter(8,a[8]);
lm10->SetParameter(9,a[9]);
lm10->SetParameter(10,a[10]);
lm10->SetParameter(11,a[11]);
lm10->SetParameter(12,a[12]);
lm10->SetParameter(13,a[13]);
lm10->SetParameter(14,a[14]);
lm10->SetTitle("");
lm10->SetParameter(15,c2g); //==> c2g
lm10->SetParameter(16,kl5d);
lm10->SetParameter(17,cg); //==> cg
lm10->SetParameter(18,norm);//0.013531
lm10->SetMinimum(0);
//
cout<<endl<<"Value of the formula in SM point: 0.013531 pb"<<a[0]<<endl;
cout<<"teste funcao cg , c2g : 0,0 "<< lm10->Eval(0,1)<<endl;
cout<<"teste funcao cg , c2g : -1,1 "<< lm10->Eval(-1,1)<<endl;
cout<<"teste funcao cg , c2g : 1,-1 "<< lm10->Eval(-1,1)<<endl;
cout<<" "<<endl;
///////////////////////////////////////////////////////////////
// Draw this function in pad1 with Gouraud shading option
TCanvas *c1 = new TCanvas("c1","Surfaces Drawing Options",1500,2500);
const int Number = 3;
Double_t Red[Number] = { 1.00, 0.00, 0.00};
Double_t Green[Number] = { 0.00, 1.00, 0.00};
Double_t Blue[Number] = { 1.00, 0.00, 1.00};
Double_t Length[Number] = { 0.00, 0.50, 1.00 };
Int_t nb=30;
TColor::CreateGradientColorTable(Number,Length,Red,Green,Blue,nb);
////////////////////////////
TLatex* text = new TLatex();
text->SetTextSize(0.09);
c1->SetLogz(0);
//////////////////////////////////////
/*
c1->Divide(3,4);
c1->cd(1);
//c1_1->SetLogz();
//c1->SetTicks(0,0);
//c1->SetRightMargin(0.15);
//c1->SetLeftMargin(0.15);
//c1->SetBottomMargin(0.02);
fg2->Draw("colz1");
text->DrawLatex(-0.85,-0.8,"#kappa_{#lambda} = 1, #kappa_{t} = 1, c_{2} = 0");
//-----------------
c1->cd(2);
//c1_1->SetLogz();
//c1_2->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
fg10->Draw("colz1");
text->DrawLatex(-0.85,-0.8,"#kappa_{#lambda} = 10, #kappa_{t} = 1, c_{2} = 0");
//-----------------
c1->cd(3);
//c1_1->SetLogz();
//c1_2->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
fgm10->Draw("colz1");
text->DrawLatex(-0.85,-0.8,"#kappa_{#lambda} = -10, #kappa_{t} = 1, c_{2} = 0");
//text->SetTextSize(0.08);
//text->SetTextColor(0);
//text->DrawLatex(-0.85.,-0.8,"#kappa_{#lambda} = 2.4, #kappa_{t} = 1, c_{2} = 0");
c1->cd(4);
//c1_1->SetLogz();
//c1_2->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
SM0->Draw("colz1");
text->DrawLatex(-3.,0.7,"c_{2} = c_{g} = c_{2} = 0");
//text->SetTextSize(0.08);
//text->SetTextColor(0);
//text->DrawLatex(-0.85.,-0.8,"#kappa_{#lambda} = 2.4, #kappa_{t} = 1, c_{2} = 0");
c1->cd(5);
//c1_5->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
l1->Draw("colz1");
text->DrawLatex(-3.,0.7,"#kappa_{#lambda} = 1, c_{g} = c_{2} = 0");
c1->cd(6);
//c1_5->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
l0->Draw("colz1");
text->DrawLatex(-3.,0.7,"#kappa_{#lambda} = c_{g} = c_{2} = 0");
//text->SetTextSize(0.08);
//text->SetTextColor(0);
//text->DrawLatex(-0.85.,-0.8,"#kappa_{#lambda} = 2.4, #kappa_{t} = 1, c_{2} = 0");
c1->cd(7);
//c1_5->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
l24->Draw("colz");
text->DrawLatex(-3.,0.7,"#kappa_{#lambda} = 2.4, c_{g} = c_{2} = 0");
//text->SetTextSize(0.08);
//text->SetTextColor(0);
//text->DrawLatex(-0.85.,-0.8,"#kappa_{#lambda} = 2.4, #kappa_{t} = 1, c_{2} = 0");
c1->cd(8);
//c1_5->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
l5->Draw("colz1");
text->DrawLatex(-3.,0.7,"#kappa_{#lambda} = 5, c_{g} = c_{2} = 0");
//text->SetTextSize(0.08);
//text->SetTextColor(0);
//text->DrawLatex(-0.85.,-0.8,"#kappa_{#lambda} = 2.4, #kappa_{t} = 1, c_{2} = 0");
c1->cd(9);
//c1_5->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
l10->Draw("colz1");
text->DrawLatex(-3.,0.7,"#kappa_{#lambda} = 10, c_{g} = c_{2} = 0");
//text->DrawLatex(-3,1,"SM plane in log scale");
//text->SetTextSize(0.08);
//text->SetTextColor(0);
//text->DrawLatex(-0.85.,-0.8,"#kappa_{#lambda} = 2.4, #kappa_{t} = 1, c_{2} = 0");
c1->cd(10);
//c1_5->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
lm24->Draw("colz1");
text->DrawLatex(-3.,0.7,"#kappa_{#lambda} = -2.4, c_{g} = c_{2} = 0");
c1->cd(11);
//c1_5->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
lm5->Draw("colz1");
text->DrawLatex(-3.,0.7,"#kappa_{#lambda} = -5, c_{g} = c_{2} = 0");
c1->cd(12);
//c1_5->SetTicks(0,0);
//c1_2->SetRightMargin(0.15);
//c1_2->SetLeftMargin(0.15);
//c1_2->SetBottomMargin(0.02);
lm10->Draw("colz1");
//text->DrawLatex(-3,1,"SM plane in log scale");
//text->SetTextSize(0.08);
//text->SetTextColor(0);
text->DrawLatex(-3.,0.7,"#kappa_{#lambda} = -10, c_{g} = c_{2} = 0");
c1->SaveAs("C2Fit.pdf");
c1->Close();
*/
//////////////////////////////////////////////////
//
// do histrograms with errors
//
// plot (point - fit)/fit between int nmintest, int nmaxtest
// do by the planes
//////////////////////////////////////////////////
// take the fit
// need to be done by planes
//c1->Clear();
// a
double SMxs = 0.013531; // 1 0.017278;// 14 0.0041758;// 8tev 0.013531; // 13 tev 0.017278;// 0.0041758;
TGraph2D *g2 = new TGraph2D(117);//(118);
g2->SetMarkerStyle(20);
g2->SetMarkerSize(2);
g2->SetTitle("0");
g2->SetTitle("#kappa_{t} = #kappa_{#lambda} = 1 , c_{2} = 0 ; c_{g} ; c_{2g}");
int j=0;
for (unsigned int ij = 0; ij < nmaxx ; ij++) if( par1[ij] ==1 && par0[ij] ==1 && par2[ij]==0 && cross_section[ij] >0.0001) if(ij!=301) {
double fit = SMxs*(fg2->Eval(par3[ij], par4[ij]));
cout<<j<<" "<< par3[ij]<<" "<< par4[ij]<<" "<<fit <<" "<< cross_section[ij]<<" diff: " <<(fit - cross_section[ij])/fit<< endl;
g2->SetPoint(j, par3[ij], par4[ij], 100*(fit - cross_section[ij])/fit);
j++;
//Differences2->Fill(par3[i], par4[i], (fit - cross_section[i])/fit);
}
// b
////////////////////////////////
int ktb=1.0;
int klb=1.0;
// cg ===> x ==> c2
// c2g ===> y ==> kt ==> cg = c2g
TF2 *pb = new TF2("pb","([0]*[15]**4 + [1]*x**2 + [2]*[15]**2*[16]**2 + [3]*y**2*[16]**2 + [4]*y**2 + [5]*x*[15]**2 + [6]*[15]*[16]*[15]**2 + [7]*[15]*[16]*x + [8]*y*[16]*x - [9]*x*y + [10]*y*[16]*[15]**2 - [11]*y*[15]**2 + [12]*[16]*y*[15]*[16] - [13]*y*[15]*[16] - [14]*y*y*[16])/[17]",-3,3,-1,1);
pb->SetParameter(0,a[0]);
pb->SetParameter(1,a[1]);
pb->SetParameter(2,a[2]);
pb->SetParameter(3,a[3]);
pb->SetParameter(4,a[4]);
pb->SetParameter(5,a[5]);
pb->SetParameter(6,a[6]);
pb->SetParameter(7,a[7]);
pb->SetParameter(8,a[8]);
pb->SetParameter(9,a[9]);
pb->SetParameter(10,a[10]);
pb->SetParameter(11,a[11]);
pb->SetParameter(12,a[12]);
pb->SetParameter(13,a[13]);
pb->SetParameter(14,a[14]);
pb->SetTitle("#kappa_{t} = #kappa_{#lambda} = 1 , c_{2g} = - c_{g} ; c_{2} ; c_{g}");
pb->SetParameter(15,ktb); //==> c2g ==>kt
pb->SetParameter(16,klb);
pb->SetContour(200);
//l5->SetParameter(17,cg); //==> cg
pb->SetParameter(17,norm);//0.013531
//pb->SetMinimum(0);
TGraph2D *gb = new TGraph2D(132);//(118);
gb->SetMarkerStyle(20);
gb->SetMarkerSize(2);
//gb->SetTitle("0");
gb->SetTitle("#kappa_{t} = #kappa_{#lambda} = 1 , c_{2g} = - c_{g} ; c_{2} ; c_{g}");
int jb=0;
for (unsigned int ijb = 0; ijb < nmaxx ; ijb++) if( par1[ijb] ==1 && par0[ijb] ==1 && par3[ijb] == -par4[ijb] && cross_section[ijb] >0.0001) {
double fitb = SMxs*(pb->Eval(par2[ijb], par3[ijb]));
cout<<jb<<" "<<ijb<<" "<< par2[ijb]<<" "<< par4[ijb]<<" "<<fitb <<" "<< cross_section[ijb]<<" diff: " <<(fitb - cross_section[ijb])/fitb<< endl;
if (abs((fitb - cross_section[ijb])/fitb) > 0.1) cout<<"here"<<endl;
gb->SetPoint(jb, par2[ijb], par4[ijb], 100*((fitb - cross_section[ijb])/fitb));
jb++;
//Differences2->Fill(par3[i], par4[i], (fit - cross_section[i])/fit);
}
//////////////////////////////////////////////
// c
////////////////////////////////
int ktc=1.0;
int c2c=0.0;//==>c2
// cg ===> x ==> c2 =//=>kl
// c2g ===> y ==> kt ==> c2g = -cg
TF2 *pc = new TF2("pb","([0]*[15]**4 + [1]*[16]**2 + [2]*[15]**2*x**2 + [3]*y**2*x**2 + [4]*y**2 + [5]*[16]*[15]**2 + [6]*[15]*x*[15]**2 + [7]*[15]*x*[16] + [8]*y*x*[16] - [9]*[16]*y + [10]*y*x*[15]**2 - [11]*y*[15]**2 + [12]*x*y*[15]*x - [13]*y*[15]*x - [14]*y*y*x)/[17]",-17,17,-1,1);
pc->SetParameter(0,a[0]);
pc->SetParameter(1,a[1]);
pc->SetParameter(2,a[2]);
pc->SetParameter(3,a[3]);
pc->SetParameter(4,a[4]);
pc->SetParameter(5,a[5]);
pc->SetParameter(6,a[6]);
pc->SetParameter(7,a[7]);
pc->SetParameter(8,a[8]);
pc->SetParameter(9,a[9]);
pc->SetParameter(10,a[10]);
pc->SetParameter(11,a[11]);
pc->SetParameter(12,a[12]);
pc->SetParameter(13,a[13]);
pc->SetParameter(14,a[14]);
pc->SetTitle("#kappa_{t} = 1 , c2 = 0 , c_{2g} = - c_{g} ; #kappa_{#lambda} ; c_{g}");
pc->SetParameter(15,ktc); //==> c2g ==>kt
pc->SetParameter(16,c2c);// ==>c2
//l5->SetParameter(17,cg); //==> cg
pc->SetParameter(17,norm);//0.013531
//pc->SetMinimum(0);
pc->SetContour(200);
TGraph2D *gc = new TGraph2D(125);//(118);
gc->SetMarkerStyle(20);
gc->SetMarkerSize(2);
gc->SetTitle("#kappa_{t} = 1 , c2 = 0 , c_{2g} = - c_{g} ; #kappa_{#lambda} ; c_{g}");
// gc->GetYaxis()->SetTitle("c_{g}");
// gc->GetXaxis()->SetTitle("#kappa_{#lambda}");
int jc=0;
for (unsigned int ijb = 0; ijb < nmaxx ; ijb++) if( par1[ijb] ==1 && par2[ijb] ==0 && par3[ijb] == -par4[ijb] && cross_section[ijb] >0.0001 && par3[ijb] >-1.5) { //&& abs(par0[ijb]) <6
double fitc = SMxs*(pc->Eval(par0[ijb], par3[ijb]));
//cout<<jb<<" "<<ijb<<" "<< par0[ijb]<<" "<< par4[ijb]<<" "<<fitc <<" "<< cross_section[ijb]<<" diff: " <<(fitc - cross_section[ijb])/fitc<< endl;
if (abs((fitc - cross_section[ijb])/fitc) > 0.1) cout<<"here"<<endl;
gc->SetPoint(jc, par0[ijb], par3[ijb], 100*((fitc - cross_section[ijb])/fitc));
jc++;
//Differences2->Fill(par3[i], par4[i], (fit - cross_section[i])/fit);
}
//////////////////////////////////
// d -- SM plane
//SM0->Eval(1,1)
// cg ===> x ===> kl
// c2g ===> y ===> kt
TGraph2D *gSM = new TGraph2D(112);//(118);
gSM->SetMarkerStyle(20);
gSM->SetMarkerSize(2);
gSM->SetTitle("0");
gSM->SetTitle("c_{2} = c_{2g} = c_{g} = 0 ; #kappa_{#lambda} ; #kappa_{t}");
int jSM=0;
for (unsigned int ii = 0; ii < nmaxx ; ii++) if( par2[ii] ==0 && par3[ii] ==0 && par4[ii]==0 && cross_section[ii] >0.00001 && cross_section[ii] <10000 && par1[ii] >0.3 && ii!=301) {
double fitSM = SMxs*(SM0->Eval(par0[ii], par1[ii]));
//{
//cout<<" SM plane"<<jSM<<" "<<ii<<" " << par0[ii]<<" "<< par1[ii]<<" "<<fitSM <<" "<< cross_section[ii]<<" diff: " <<(fitSM - cross_section[ii])/fitSM<< endl;
if (abs((fitSM - cross_section[ii])/fitSM) > 0.1) cout<<"here"<<endl;
gSM->SetPoint(jSM, par0[ii], par1[ii], 100*(fitSM - cross_section[ii])/fitSM);
jSM++;
//}
//Differences2->Fill(par3[i], par4[i], (fit - cross_section[i])/fit);
}
//////////////////////////////////
// e -- SM plane
//SM0->Eval(1,1)
// cg ===> x ===> c2
// c2g ===> y ===> kt
TGraph2D *gSMc2 = new TGraph2D(62);//(118);//57 13 tev
gSMc2->SetMarkerStyle(20);
gSMc2->SetMarkerSize(2);
//gSMc2->SetTitle("0");
gSMc2->SetTitle("#kappa_{#lambda} =1 , c_{2g} = c_{g} = 0 ; c_{2} ; #kappa_{t}");
int jSMc2=0;
for (unsigned int ii = 0; ii < nmaxx ; ii++) if( par0[ii] ==1 && par3[ii] ==0 && par4[ii]==0 && cross_section[ii] >0.00001 && cross_section[ii] <10000 && par1[ii] >0.25 ) if(ii!=301){
double fitSM = SMxs*(l1->Eval(par2[ii], par1[ii]));
//{
cout<<jSMc2<<" "<<ii<<" " << par2[ii]<<" "<< par1[ii]<<" "<<fitSM <<" "<< cross_section[ii]<<" diff: " <<(fitSM - cross_section[ii])/fitSM<< endl;
if (abs((fitSM - cross_section[ii])/fitSM) > 0.1) cout<<"here"<<endl;
gSMc2->SetPoint(jSMc2, par2[ii], par1[ii], 100*(fitSM - cross_section[ii])/fitSM);
jSMc2++;
//}
//Differences2->Fill(par3[i], par4[i], (fit - cross_section[i])/fit);
}
////////////////////////////////
// f = cg =0
int ktf=1.0;
int klf=1.0;
// cg ===> x ==> c2
// c2g ===> y ==> kt ==> cg = c2g
TF2 *pf = new TF2("pf","([0]*[15]**4 + [1]*x**2 + [2]*[15]**2*[16]**2 + [4]*y**2 + [5]*x*[15]**2 + [6]*[15]*[16]*[15]**2 + [7]*[15]*[16]*x + [9]*x*y + [11]*y*[15]**2 + [13]*y*[15]*[16])/[17]",-3,3,-1,1);
pf->SetParameter(0,a[0]);
pf->SetParameter(1,a[1]);
pf->SetParameter(2,a[2]);
pf->SetParameter(3,a[3]);
pf->SetParameter(4,a[4]);
pf->SetParameter(5,a[5]);
pf->SetParameter(6,a[6]);
pf->SetParameter(7,a[7]);
pf->SetParameter(8,a[8]);
pf->SetParameter(9,a[9]);
pf->SetParameter(10,a[10]);
pf->SetParameter(11,a[11]);
pf->SetParameter(12,a[12]);
pf->SetParameter(13,a[13]);
pf->SetParameter(14,a[14]);
pf->SetTitle("#kappa_{t} = #kappa_{#lambda} = 1 , c_{g} = 0 ; c_{2} ; c_{2g}");
//pf->SetTitleSize(0.3);
pf->SetParameter(15,ktf); //==> c2g ==>kt
pf->SetParameter(16,klf);
pf->SetContour(200);
//l5->SetParameter(17,cg); //==> cg
pf->SetParameter(17,norm);//0.013531
//pb->SetMinimum(0);
TGraph2D *gf = new TGraph2D(132);//(118);
gf->SetMarkerStyle(20);
gf->SetMarkerSize(2);
//gb->SetTitle("0");
gf->SetTitle("#kappa_{t} = #kappa_{#lambda} = 1 , c_{g} = 0 ; c_{2} ; c_{2g}");
int jf=0;
for (unsigned int ijb = 0; ijb < nmaxx ; ijb++) if( par1[ijb] ==1 && par0[ijb] ==1 && par3[ijb] == 0 && cross_section[ijb] >0.0001) {
double fitb = SMxs*(pf->Eval(par2[ijb], par4[ijb]));
cout<<jf<<" "<<ijb<<" "<< par2[ijb]<<" "<< par4[ijb]<<" "<<fitb <<" "<< cross_section[ijb]<<" diff: " <<(fitb - cross_section[ijb])/fitb<< endl;
if (abs((fitb - cross_section[ijb])/fitb) > 0.1) cout<<"here"<<endl;
gf->SetPoint(jf, par2[ijb], par4[ijb], 100*((fitb - cross_section[ijb])/fitb));
jf++;
//Differences2->Fill(par3[i], par4[i], (fit - cross_section[i])/fit);
}
//////////////////////////////////////////////
// rest square
TCanvas *c2 = new TCanvas("c2","Surfaces Drawing Options",700,2200);
c2->Divide(2,3);
c2->cd(1);
c2_1->SetRightMargin(0.17);
c2_1->SetLeftMargin(0.21);
//c2->cd();
c2_1->SetTheta(90.0-0.001);
c2_1->SetPhi(0.0+0.001);
gSM->Draw("Pcolz");
//fg2->Draw("cont3SAME");
c2->cd(2);
c2_2->SetRightMargin(0.2);
c2_2->SetLeftMargin(0.21);
c2_2->SetTheta(90.0-0.001);
c2_2->SetPhi(0.0+0.001);
gSMc2->Draw("Pcolz");
//SM0->Draw("cont3SAME");
c2->cd(3);
c2_3->SetRightMargin(0.2);
c2_3->SetLeftMargin(0.21);
c2_3->SetTheta(90.0-0.001);
c2_3->SetPhi(0.0+0.001);
gb->Draw("Pcolz");
//pb->Draw("cont3SAME");
c2->cd(4);
c2_4->SetRightMargin(0.2);
c2_4->SetLeftMargin(0.21);
c2_4->SetTheta(90.0-0.001);
c2_4->SetPhi(0.0+0.001);
gc->Draw("Pcolz");
//pc->Draw("cont3SAME");
c2->cd(5);
c2_5->SetRightMargin(0.2);
c2_5->SetLeftMargin(0.21);
c2_5->SetTheta(90.0-0.001);
c2_5->SetPhi(0.0+0.001);
g2->Draw("Pcolz");
//
c2->cd(6);
c2_6->SetRightMargin(0.2);
c2_6->SetLeftMargin(0.21);
c2_6->SetTheta(90.0-0.001);
c2_6->SetPhi(0.0+0.001);
gf->Draw("Pcolz");
c2->SaveAs("DiffSMplane_all_orthogonal_13tev.pdf");
//////////////////////////////////////////////
// rest square
TCanvas *c3 = new TCanvas("c3","Surfaces Drawing Options",2200,700);
c3->Divide(3,2);
c3->cd(1);
c3_1->SetLogz(1);
c3_1->SetLeftMargin(0.19);
c3_1->SetBottomMargin(0.19);
c3_1->SetRightMargin(0.2);
//c2->cd();
//g2->Draw("Pcolz");
SM0->Draw("colz");
c3->cd(2);
c3_2->SetLogz(1);
c3_2->SetRightMargin(0.19);
c3_2->SetBottomMargin(0.19);
c3_2->SetLeftMargin(0.21);
//gSM->Draw("Pcolz");
l1->Draw("colz");
//c3_2->SetRightMargin(0.2);
c3->cd(3);
c3_3->SetLogz(1);
c3_3->SetRightMargin(0.17);
c3_3->SetBottomMargin(0.19);
c3_3->SetLeftMargin(0.21);
//gb->Draw("Pcolz");
pb->Draw("colz");
c3->cd(4);
c3_4->SetLogz(1);
c3_4->SetRightMargin(0.16);
c3_4->SetBottomMargin(0.19);
c3_4->SetLeftMargin(0.21);
//gc->Draw("Pcolz");
pc->Draw("colz");
c3->cd(5);
c3_5->SetLogz(1);
c3_5->SetRightMargin(0.19);
c3_5->SetBottomMargin(0.19);
c3_5->SetLeftMargin(0.21);
//gSMc2->Draw("Pcolz");
fg2->Draw("colz");
c3->cd(6);
c3_6->SetLogz(1);
c3_6->SetRightMargin(0.19);
c3_6->SetBottomMargin(0.19);
c3_6->SetLeftMargin(0.21);
//gSMc2->Draw("Pcolz");
pf->Draw("colz");
c3->SaveAs("CX_all_orthogonal_13tev.pdf");
//////////////////////////////////////////////
/* TGraph *gall = new TGraph(nmaxx - nminx);
gall->SetMarkerStyle(20);
gall->SetMarkerSize(2);
gall->SetTitle("0");
for (unsigned int i = 0; i < nmaxx - nminx; i++) if( par1[i] ==1 && par0[i] ==1 && par2[i]==0 ) {
double fit = fg2->Eval(par3[i], par4[i]);
cout<< par3[i]<<" "<< par4[i]<<" "<< (fit - cross_section[i])/fit<< endl;
g2->SetPoint(i, par3[i], par4[i], (fit - cross_section[i])/fit);
//Differences2->Fill(par3[i], par4[i], (fit - cross_section[i])/fit);
}*/
}
void rs101_limitexample()
{
// --------------------------------------
// An example of setting a limit in a number counting experiment with uncertainty on background and signal
// to time the macro
TStopwatch t;
t.Start();
// --------------------------------------
// The Model building stage
// --------------------------------------
RooWorkspace* wspace = new RooWorkspace();
wspace->factory("Poisson::countingModel(obs[150,0,300], sum(s[50,0,120]*ratioSigEff[1.,0,3.],b[100]*ratioBkgEff[1.,0.,3.]))"); // counting model
// wspace->factory("Gaussian::sigConstraint(ratioSigEff,1,0.05)"); // 5% signal efficiency uncertainty
// wspace->factory("Gaussian::bkgConstraint(ratioBkgEff,1,0.1)"); // 10% background efficiency uncertainty
wspace->factory("Gaussian::sigConstraint(gSigEff[1,0,3],ratioSigEff,0.05)"); // 5% signal efficiency uncertainty
wspace->factory("Gaussian::bkgConstraint(gSigBkg[1,0,3],ratioBkgEff,0.2)"); // 10% background efficiency uncertainty
wspace->factory("PROD::modelWithConstraints(countingModel,sigConstraint,bkgConstraint)"); // product of terms
wspace->Print();
RooAbsPdf* modelWithConstraints = wspace->pdf("modelWithConstraints"); // get the model
RooRealVar* obs = wspace->var("obs"); // get the observable
RooRealVar* s = wspace->var("s"); // get the signal we care about
RooRealVar* b = wspace->var("b"); // get the background and set it to a constant. Uncertainty included in ratioBkgEff
b->setConstant();
RooRealVar* ratioSigEff = wspace->var("ratioSigEff"); // get uncertain parameter to constrain
RooRealVar* ratioBkgEff = wspace->var("ratioBkgEff"); // get uncertain parameter to constrain
RooArgSet constrainedParams(*ratioSigEff, *ratioBkgEff); // need to constrain these in the fit (should change default behavior)
RooRealVar * gSigEff = wspace->var("gSigEff"); // global observables for signal efficiency
RooRealVar * gSigBkg = wspace->var("gSigBkg"); // global obs for background efficiency
gSigEff->setConstant();
gSigBkg->setConstant();
// Create an example dataset with 160 observed events
obs->setVal(160.);
RooDataSet* data = new RooDataSet("exampleData", "exampleData", RooArgSet(*obs));
data->add(*obs);
RooArgSet all(*s, *ratioBkgEff, *ratioSigEff);
// not necessary
modelWithConstraints->fitTo(*data, RooFit::Constrain(RooArgSet(*ratioSigEff, *ratioBkgEff)));
// Now let's make some confidence intervals for s, our parameter of interest
RooArgSet paramOfInterest(*s);
ModelConfig modelConfig(wspace);
modelConfig.SetPdf(*modelWithConstraints);
modelConfig.SetParametersOfInterest(paramOfInterest);
modelConfig.SetNuisanceParameters(constrainedParams);
modelConfig.SetObservables(*obs);
modelConfig.SetGlobalObservables( RooArgSet(*gSigEff,*gSigBkg));
modelConfig.SetName("ModelConfig");
wspace->import(modelConfig);
wspace->import(*data);
wspace->SetName("w");
wspace->writeToFile("rs101_ws.root");
// First, let's use a Calculator based on the Profile Likelihood Ratio
//ProfileLikelihoodCalculator plc(*data, *modelWithConstraints, paramOfInterest);
ProfileLikelihoodCalculator plc(*data, modelConfig);
plc.SetTestSize(.05);
ConfInterval* lrinterval = plc.GetInterval(); // that was easy.
// Let's make a plot
TCanvas* dataCanvas = new TCanvas("dataCanvas");
dataCanvas->Divide(2,1);
dataCanvas->cd(1);
LikelihoodIntervalPlot plotInt((LikelihoodInterval*)lrinterval);
plotInt.SetTitle("Profile Likelihood Ratio and Posterior for S");
plotInt.Draw();
// Second, use a Calculator based on the Feldman Cousins technique
FeldmanCousins fc(*data, modelConfig);
fc.UseAdaptiveSampling(true);
fc.FluctuateNumDataEntries(false); // number counting analysis: dataset always has 1 entry with N events observed
fc.SetNBins(100); // number of points to test per parameter
fc.SetTestSize(.05);
// fc.SaveBeltToFile(true); // optional
ConfInterval* fcint = NULL;
fcint = fc.GetInterval(); // that was easy.
RooFitResult* fit = modelWithConstraints->fitTo(*data, Save(true));
// Third, use a Calculator based on Markov Chain monte carlo
// Before configuring the calculator, let's make a ProposalFunction
// that will achieve a high acceptance rate
ProposalHelper ph;
ph.SetVariables((RooArgSet&)fit->floatParsFinal());
ph.SetCovMatrix(fit->covarianceMatrix());
ph.SetUpdateProposalParameters(true);
ph.SetCacheSize(100);
ProposalFunction* pdfProp = ph.GetProposalFunction(); // that was easy
MCMCCalculator mc(*data, modelConfig);
mc.SetNumIters(20000); // steps to propose in the chain
mc.SetTestSize(.05); // 95% CL
mc.SetNumBurnInSteps(40); // ignore first N steps in chain as "burn in"
mc.SetProposalFunction(*pdfProp);
mc.SetLeftSideTailFraction(0.5); // find a "central" interval
MCMCInterval* mcInt = (MCMCInterval*)mc.GetInterval(); // that was easy
// Get Lower and Upper limits from Profile Calculator
cout << "Profile lower limit on s = " << ((LikelihoodInterval*) lrinterval)->LowerLimit(*s) << endl;
cout << "Profile upper limit on s = " << ((LikelihoodInterval*) lrinterval)->UpperLimit(*s) << endl;
// Get Lower and Upper limits from FeldmanCousins with profile construction
if (fcint != NULL) {
double fcul = ((PointSetInterval*) fcint)->UpperLimit(*s);
double fcll = ((PointSetInterval*) fcint)->LowerLimit(*s);
cout << "FC lower limit on s = " << fcll << endl;
cout << "FC upper limit on s = " << fcul << endl;
TLine* fcllLine = new TLine(fcll, 0, fcll, 1);
TLine* fculLine = new TLine(fcul, 0, fcul, 1);
fcllLine->SetLineColor(kRed);
fculLine->SetLineColor(kRed);
fcllLine->Draw("same");
fculLine->Draw("same");
dataCanvas->Update();
}
// Plot MCMC interval and print some statistics
MCMCIntervalPlot mcPlot(*mcInt);
mcPlot.SetLineColor(kMagenta);
mcPlot.SetLineWidth(2);
mcPlot.Draw("same");
double mcul = mcInt->UpperLimit(*s);
double mcll = mcInt->LowerLimit(*s);
cout << "MCMC lower limit on s = " << mcll << endl;
cout << "MCMC upper limit on s = " << mcul << endl;
cout << "MCMC Actual confidence level: "
<< mcInt->GetActualConfidenceLevel() << endl;
// 3-d plot of the parameter points
dataCanvas->cd(2);
// also plot the points in the markov chain
RooDataSet * chainData = mcInt->GetChainAsDataSet();
assert(chainData);
std::cout << "plotting the chain data - nentries = " << chainData->numEntries() << std::endl;
TTree* chain = RooStats::GetAsTTree("chainTreeData","chainTreeData",*chainData);
assert(chain);
chain->SetMarkerStyle(6);
chain->SetMarkerColor(kRed);
chain->Draw("s:ratioSigEff:ratioBkgEff","nll_MarkovChain_local_","box"); // 3-d box proportional to posterior
// the points used in the profile construction
RooDataSet * parScanData = (RooDataSet*) fc.GetPointsToScan();
assert(parScanData);
std::cout << "plotting the scanned points used in the frequentist construction - npoints = " << parScanData->numEntries() << std::endl;
// getting the tree and drawing it -crashes (very strange....);
// TTree* parameterScan = RooStats::GetAsTTree("parScanTreeData","parScanTreeData",*parScanData);
// assert(parameterScan);
// parameterScan->Draw("s:ratioSigEff:ratioBkgEff","","goff");
TGraph2D *gr = new TGraph2D(parScanData->numEntries());
for (int ievt = 0; ievt < parScanData->numEntries(); ++ievt) {
const RooArgSet * evt = parScanData->get(ievt);
double x = evt->getRealValue("ratioBkgEff");
double y = evt->getRealValue("ratioSigEff");
double z = evt->getRealValue("s");
gr->SetPoint(ievt, x,y,z);
// std::cout << ievt << " " << x << " " << y << " " << z << std::endl;
}
gr->SetMarkerStyle(24);
gr->Draw("P SAME");
delete wspace;
delete lrinterval;
delete mcInt;
delete fcint;
delete data;
// print timing info
t.Stop();
t.Print();
}