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File indexing completed on 2021-02-14 12:45:47

 /***********************************
 Table Of Contents
 0. Track Split Plot
 1. Misalignment Dependence
 2. Make Plots
 3. Axis Label
 4. Axis Limits
 5. Place Legend
 ***********************************/
 
 #include "trackSplitPlot.h"
 #include "Alignment/OfflineValidation/macros/TkAlStyle.cc"
 
 //===================
 //0. Track Split Plot
 //===================
 
 TCanvas *trackSplitPlot(Int_t nFiles,TString *files,TString *names,TString xvar,TString yvar,
                         Bool_t relative,Bool_t resolution,Bool_t pull,
                         TString saveas, ostream& summaryfile)
 {
     if (TkAlStyle::status() == NO_STATUS)
         TkAlStyle::set(INTERNAL);
     TString legendOptions = TkAlStyle::legendoptions;
     legendOptions.ReplaceAll("all","meanerror,rmserror").ToLower();
     if (outliercut < 0)
         outliercut = -1;
     gStyle->SetMarkerSize(1.5);
     setupcolors();
     stufftodelete->SetOwner(true);
     cout << xvar << " " << yvar << endl;
     if (xvar == "" && yvar == "")
         return 0;
 
     PlotType type;
     if (xvar == "")      type = Histogram;
     else if (yvar == "") type = OrgHistogram;
     else if (resolution) type = Resolution;
     else if (nFiles < 1) type = ScatterPlot;
     else                 type = Profile;
     if (nFiles < 1) nFiles = 1;
 
     const Int_t n = nFiles;
 
     vector<TH1*> p;
     Int_t lengths[n];
 
     stringstream sx,sy,srel,ssigma1,ssigma2,ssigmaorg;
 
     sx << xvar << "_org";
     TString xvariable = sx.str();
     TString xvariable2 = "";
     if (xvar == "runNumber") xvariable = "runNumber";
     if (xvar.BeginsWith("nHits"))
     {
         xvariable  = xvar;
         xvariable2 = xvar;
         xvariable.Append("1_spl");
         xvariable2.Append("2_spl");
     }
 
     sy << "Delta_" << yvar;
     TString yvariable = sy.str();
 
     TString relvariable = "1";
     if (relative)
     {
         srel << yvar << "_org";
         relvariable = srel.str();
     }
 
     TString sigma1variable = "",sigma2variable = "";
     if (pull)
     {
         ssigma1 << yvar << "1Err_spl";
         ssigma2 << yvar << "2Err_spl";
     }
     sigma1variable = ssigma1.str();
     sigma2variable = ssigma2.str();
 
     TString sigmaorgvariable = "";
     if (pull && relative)
         ssigmaorg << yvar << "Err_org";
     sigmaorgvariable = ssigmaorg.str();
 
 
     Double_t xmin = -1, xmax = 1, ymin = -1, ymax = 1, xbins = -1, ybins;
     if (type == Profile || type == ScatterPlot || type == OrgHistogram || type == Resolution)
         axislimits(nFiles,files,xvar,'x',relative,pull,xmin,xmax,xbins);
     if (type == Profile || type == ScatterPlot || type == Histogram || type == Resolution)
         axislimits(nFiles,files,yvar,'y',relative,pull,ymin,ymax,ybins);
 
     std::vector<TString> meansrmss(n);
     std::vector<double> means(n);
     std::vector<double> rmss(n);
     std::vector<bool> used(n);        //a file is not "used" if it's MC data and the x variable is run number, or if the filename is blank
 
     for (Int_t i = 0; i < n; i++)
     {
         stringstream sid;
         sid << "p" << i;
         TString id = sid.str();
 
         //for a profile or resolution, it fills a histogram, q[j], for each bin, then gets the mean and width from there.
         vector<TH1F*> q;
 
         if (type == ScatterPlot)
             p.push_back(new TH2F(id,"",xbins,xmin,xmax,ybins,ymin,ymax));
         if (type == Histogram)
             p.push_back(new TH1F(id,"",ybins,ymin,ymax));
         if (type == OrgHistogram)
             p.push_back(new TH1F(id,"",xbins,xmin,xmax));
         if (type == Resolution || type == Profile)
         {
             p.push_back(new TH1F(id,"",xbins,xmin,xmax));
             for (Int_t j = 0; j < xbins; j++)
             {
 
                 stringstream sid2;
                 sid2 << "q" << i << j;
                 TString id2 = sid2.str();
                 q.push_back(new TH1F(id2,"",1000,ymin*10,ymax*10));
 
             }
         }
 
         p[i]->SetLineColor(colors[i]);
         if (type == Resolution || type == Profile)
         {
             p[i]->SetMarkerStyle(styles[i] / 100);
             p[i]->SetMarkerColor(colors[i]);
             p[i]->SetLineStyle(styles[i] % 100);
         }
         else
         {
             if (styles[i] >= 100)
             {
                 p[i]->SetMarkerStyle(styles[i] / 100);
                 p[i]->SetMarkerColor(colors[i]);
                 p[i]->Sumw2();
             }
             p[i]->SetLineStyle(styles[i] % 100);
         }
 
         stufftodelete->Add(p[i]);
         p[i]->SetBit(kCanDelete,true);
 
         used[i] = true;
         if ((xvar == "runNumber" ? findMax(files[i],"runNumber",'x') < 2 : false) || files[i] == "")  //if it's MC data (run 1), the run number is meaningless
         {
             used[i] = false;
             p[i]->SetLineColor(kWhite);
             p[i]->SetMarkerColor(kWhite);
             for (unsigned int j = 0; j < q.size(); j++)
                 delete q[j];
             continue;
         }
 
         TFile *f = TFile::Open(files[i]);
         TTree *tree = (TTree*)f->Get("cosmicValidation/splitterTree");
         if (tree == 0)
             tree = (TTree*)f->Get("splitterTree");
 
         lengths[i] = tree->GetEntries();
 
         Double_t x = 0, y = 0, rel = 1, sigma1 = 1, sigma2 = 1,           //if !pull, we want to divide by sqrt(2) because we want the error from 1 track
                                                   sigmaorg = 0;
         Int_t xint = 0, xint2 = 0;
         Int_t runNumber = 0;
         double pt1 = 0, maxpt1 = 0;
 
         if (!relative && !pull && (yvar == "dz" || yvar == "dxy"))
             rel = 1e-4;                                     //it's in cm but we want it in um, so divide by 1e-4
         if (!relative && !pull && (yvar == "phi" || yvar == "theta" || yvar == "qoverpt"))
             rel = 1e-3;                                     //make the axis labels manageable
 
         tree->SetBranchAddress("runNumber",&runNumber);
         if (type == Profile || type == ScatterPlot || type == Resolution || type == OrgHistogram)
         {
             if (xvar == "runNumber")
                 tree->SetBranchAddress(xvariable,&xint);
             else if (xvar.BeginsWith("nHits"))
             {
                 tree->SetBranchAddress(xvariable,&xint);
                 tree->SetBranchAddress(xvariable2,&xint2);
             }
             else
                 tree->SetBranchAddress(xvariable,&x);
         }
         if (type == Profile || type == ScatterPlot || type == Resolution || type == Histogram)
         {
             int branchexists = tree->SetBranchAddress(yvariable,&y);
             if (branchexists == -5)   //i.e. it doesn't exist
             {
                 yvariable.ReplaceAll("Delta_","d");
                 yvariable.Append("_spl");
                 tree->SetBranchAddress(yvariable,&y);
             }
         }
         if (relative && xvar != yvar)                       //if xvar == yvar, setting the branch here will undo setting it to x 2 lines earlier
             tree->SetBranchAddress(relvariable,&rel);       //setting the value of rel is then taken care of later: rel = x
         if (pull)
         {
             tree->SetBranchAddress(sigma1variable,&sigma1);
             tree->SetBranchAddress(sigma2variable,&sigma2);
         }
         if (relative && pull)
             tree->SetBranchAddress(sigmaorgvariable,&sigmaorg);
         if (xvar == "pt" || yvar == "pt" || xvar == "qoverpt" || yvar == "qoverpt") {
             tree->SetBranchAddress("pt1_spl", &pt1);
         } else {
             maxpt1 = 999;
         }
 
         Int_t notincluded = 0;                              //this counts the number that aren't in the right run range.
                                                             //it's subtracted from lengths[i] in order to normalize the histograms
 
         for (Int_t j = 0; j<lengths[i]; j++)
         {
             tree->GetEntry(j);
             if (xvar == "runNumber" || xvar.BeginsWith("nHits"))
                 x = xint;
             if (xvar == "runNumber")
                 runNumber = x;
             if (yvar == "phi" && y >= pi)
                 y -= 2*pi;
             if (yvar == "phi" && y <= -pi)
                 y += 2*pi;
             if ((runNumber < minrun && runNumber > 1) || (runNumber > maxrun && maxrun > 0))  //minrun and maxrun are global variables.
             {
                 notincluded++;
                 continue;
             }
             if (relative && xvar == yvar)
                 rel = x;
             Double_t error = 0;
             if (relative && pull)
                 error = sqrt((sigma1/rel)*(sigma1/rel) + (sigma2/rel)*(sigma2/rel) + (sigmaorg*y/(rel*rel))*(sigmaorg*x/(rel*rel)));
             else
                 error = sqrt(sigma1 * sigma1 + sigma2 * sigma2);   // = sqrt(2) if !pull; this divides by sqrt(2) to get the error in 1 track
             y /= (rel * error);
 
             if (pt1 > maxpt1) maxpt1 = pt1;
 
             if (ymin <= y && y < ymax && xmin <= x && x < xmax)
             {
                 if (type == Histogram)
                     p[i]->Fill(y);
                 if (type == ScatterPlot)
                     p[i]->Fill(x,y);
                 if (type == Resolution || type == Profile)
                 {
                     int which = (p[i]->Fill(x,0)) - 1;
                     //get which q[j] by filling p[i] with nothing.  (TH1F::Fill returns the bin number)
                     //p[i]'s actual contents are set later.
                     if (which >= 0 && (unsigned)which < q.size()) q[which]->Fill(y);
                 }
                 if (type == OrgHistogram)
                     p[i]->Fill(x);
             }
 
             if (xvar.BeginsWith("nHits"))
             {
                 x = xint2;
                 if (ymin <= y && y < ymax && xmin <= x && x < xmax)
                 {
                     if (type == Histogram)
                         p[i]->Fill(y);
                     if (type == ScatterPlot)
                         p[i]->Fill(x,y);
                     if (type == Resolution || type == Profile)
                     {
                         int which = (p[i]->Fill(x,0)) - 1;
                         if (which >= 0) q[which]->Fill(y);         //get which q[j] by filling p[i] (with nothing), which returns the bin number
                     }
                     if (type == OrgHistogram)
                         p[i]->Fill(x);
                 }
             }
 
             if (lengths[i] < 10 ? true :
                 (((j+1)/(int)(pow(10,(int)(log10(lengths[i]))-1)))*(int)(pow(10,(int)(log10(lengths[i]))-1)) == j + 1 || j + 1 == lengths[i]))
             //print when j+1 is a multiple of 10^x, where 10^x has 1 less digit than lengths[i]
             // and when it's finished
             //For example, if lengths[i] = 123456, it will print this when j+1 = 10000, 20000, ..., 120000, 123456
             //So it will print between 10 and 100 times: 10 when lengths[i] = 10^x and 100 when lengths[i] = 10^x - 1
             {
                 cout << j + 1 << "/" << lengths[i] << ": ";
                 if (type == Profile || type == ScatterPlot || type == Resolution)
                     cout << x << ", " << y << endl;
                 if (type == OrgHistogram)
                     cout << x << endl;
                 if (type == Histogram)
                     cout << y << endl;
             }
         }
         lengths[i] -= notincluded;
 
         if (maxpt1 < 6) { //0T
             used[i] = false;
             p[i]->SetLineColor(kWhite);
             p[i]->SetMarkerColor(kWhite);
             for (unsigned int j = 0; j < q.size(); j++)
                 delete q[j];
             continue;
         }
 
         meansrmss[i] = "";
         if (type == Histogram || type == OrgHistogram)
         {
             stringstream meanrms;
             meanrms.precision(3);
 
             double average = -1e99;
             double rms = -1e99;
 
             TString var = (type == Histogram ? yvar : xvar);
             char axis = (type == Histogram ? 'y' : 'x');
             TString varunits = "";
             if (!relative && !pull)
                 varunits = units(var, axis);
             if (legendOptions.Contains("mean"))
             {
                 if (outliercut < 0)
                     average = p[i]->GetMean();
                 else
                     average = findAverage(files[i], var, axis, relative, pull);
                 cout << "Average = " << average;
                 meanrms << "#mu = " << average;
                 means[i] = average;
                 if (legendOptions.Contains("meanerror"))
                 {
                     if (outliercut < 0)
                         rms = p[i]->GetRMS();
                     else
                         rms = findRMS(files[i], var, axis, relative, pull);
                     meanrms << " #pm " << rms/TMath::Sqrt(lengths[i]*abs(outliercut));
                     cout << " +/- " << rms/TMath::Sqrt(lengths[i]*abs(outliercut));
                 }
                 if (varunits != "")
                 {
                     meanrms << " " << varunits;
                     cout << " " << varunits;
                 }
                 cout << endl;
                 if (legendOptions.Contains("rms"))
                     meanrms << ", ";
             }
             if (legendOptions.Contains("rms"))
             {
                 if (rms<-1e98)
                 {
                     if (outliercut < 0)
                         rms = p[i]->GetRMS();
                     else
                         rms = findRMS(files[i], var, axis, relative, pull);
                 }
                 cout << "RMS     = " << rms;
                 meanrms << "rms = " << rms;
                 rmss[i] = rms;
                 if (legendOptions.Contains("rmserror"))
                 {
                     //https://root.cern.ch/root/html/src/TH1.cxx.html#7076
                     meanrms << " #pm " << rms/TMath::Sqrt(2*lengths[i]*abs(outliercut));
                     cout << " +/- " << rms/TMath::Sqrt(2*lengths[i]*abs(outliercut));
                 }
                 if (varunits != "")
                 {
                     meanrms << " " << varunits;
                     cout << " " << varunits;
                 }
                 cout << endl;
             }
             meansrmss[i] = meanrms.str();
         }
 
         if (type == Resolution)
         {
             for (Int_t j = 0; j < xbins; j++)
             {
                 p[i]->SetBinContent(j+1,q[j]->GetRMS());
                 p[i]->SetBinError  (j+1,q[j]->GetRMSError());
                 delete q[j];
             }
         }
 
         if (type == Profile)
         {
             for (Int_t j = 0; j < xbins; j++)
             {
                 p[i]->SetBinContent(j+1,q[j]->GetMean());
                 p[i]->SetBinError  (j+1,q[j]->GetMeanError());
                 delete q[j];
             }
         }
 
         setAxisLabels(p[i],type,xvar,yvar,relative,pull);
     }
 
     if (type == Histogram && !pull && any_of(begin(used), end(used), identity<bool>)) {
         if (legendOptions.Contains("mean")) {
             summaryfile << "   mu_Delta" << yvar;
             if (relative) summaryfile << "/" << yvar;
             if (pull)     summaryfile << "_pull";
             if (!pull && !relative && plainunits(yvar, 'y') != "") summaryfile << " (" << plainunits(yvar, 'y') << ")";
             summaryfile << "\t"
                         << "latexname=$\\mu_{" << latexlabel(yvar, 'y', relative, resolution, pull) << "}$";
             if (!pull && !relative && plainunits(yvar, 'y') != "") summaryfile << " (" << latexunits(yvar, 'y') << ")";
             summaryfile << "\t"
                         << "format={:.3g}\t"
                         << "latexformat=${:.3g}$";
             for (int i = 0; i < n; i++) {
                 if (used[i]) {
                     summaryfile << "\t" << means[i];
                 } else {
                     summaryfile << "\t" << nan("");
                 }
             }
             summaryfile << "\n";
         }
         if (legendOptions.Contains("rms")) {
             summaryfile << "sigma_Delta" << yvar;
             if (relative) summaryfile << "/" << yvar;
             if (pull)     summaryfile << "_pull";
             if (!pull && !relative && plainunits(yvar, 'y') != "") summaryfile << " (" << plainunits(yvar, 'y') << ")";
             summaryfile << "\t"
                         << "latexname=$\\sigma_{" << latexlabel(yvar, 'y', relative, resolution, pull) << "}$";
             if (!pull && !relative && latexunits(yvar, 'y') != "") summaryfile << " (" << latexunits(yvar, 'y') << ")";
             summaryfile << "\t"
                         << "format={:.3g}\t"
                         << "latexformat=${:.3g}$";
             for (int i = 0; i < n; i++) {
                 if (used[i]) {
                     summaryfile << "\t" << rmss[i];
                 } else {
                     summaryfile << "\t" << nan("");
                 }
             }
             summaryfile << "\n";
         }
     }
 
     TH1 *firstp = 0;
     for (int i = 0; i < n; i++)
     {
         if (used[i])
         {
             firstp = p[i];
             break;
         }
     }
     if (firstp == 0)
     {
         stufftodelete->Clear();
         return 0;
     }
 
     TCanvas *c1 = TCanvas::MakeDefCanvas();
 
     TH1 *maxp = firstp;
     if (type == ScatterPlot)
         firstp->Draw("COLZ");
     else if (type == Resolution || type == Profile)
     {
         vector<TGraphErrors*> g;
         TMultiGraph *list = new TMultiGraph();
         for (Int_t i = 0, ii = 0; i < n; i++, ii++)
         {
             if (!used[i])
             {
                 ii--;
                 continue;
             }
             g.push_back(new TGraphErrors(p[i]));
             for (Int_t j = 0; j < g[ii]->GetN(); j++)
             {
                 if (g[ii]->GetY()[j] == 0 && g[ii]->GetEY()[j] == 0)
                 {
                     g[ii]->RemovePoint(j);
                     j--;
                 }
             }
             list->Add(g[ii]);
         }
         list->Draw("AP");
         Double_t yaxismax = list->GetYaxis()->GetXmax();
         Double_t yaxismin = list->GetYaxis()->GetXmin();
         delete list;       //automatically deletes g[i]
         if (yaxismin > 0)
         {
             yaxismax += yaxismin;
             yaxismin = 0;
         }
         firstp->GetYaxis()->SetRangeUser(yaxismin,yaxismax);
         if (xvar == "runNumber")
             firstp->GetXaxis()->SetNdivisions(505);
     }
     else if (type == Histogram || type == OrgHistogram)
     {
         Bool_t allthesame = true;
         for (Int_t i = 1; i < n && allthesame; i++)
         {
             if (lengths[i] != lengths[0])
                 allthesame = false;
         }
         if (!allthesame && xvar != "runNumber")
             for (Int_t i = 0; i < n; i++)
             {
                 p[i]->Scale(1.0/lengths[i]);     //This does NOT include events that are out of the run number range (minrun and maxrun).
                                                  //It DOES include events that are out of the histogram range.
             }
         maxp = (TH1F*)firstp->Clone("maxp");
         stufftodelete->Add(maxp);
         maxp->SetBit(kCanDelete,true);
         maxp->SetLineColor(kWhite);
         for (Int_t i = 1; i <= maxp->GetNbinsX(); i++)
         {
             for (Int_t j = 0; j < n; j++)
             {
                 if (!used[j])
                     continue;
                 maxp->SetBinContent(i,TMath::Max(maxp->GetBinContent(i),p[j]->GetBinContent(i)));
             }
         }
         maxp->SetMarkerStyle(0);
         maxp->SetMinimum(0);
         maxp->Draw("");
         if (xvar == "runNumber")
         {
             maxp->GetXaxis()->SetNdivisions(505);
             maxp->Draw("");
         }
     }
 
     int nEntries = 0;
     for (int i = 0; i < n; i++)
         if (used[i])
             nEntries++;
     double width = 0.5;
     if (type == Histogram || type == OrgHistogram)
         width *= 2;
     TLegend *legend = TkAlStyle::legend(nEntries, width);
     legend->SetTextSize(0);
     if (type == Histogram || type == OrgHistogram)
         legend->SetNColumns(2);
     stufftodelete->Add(legend);
     legend->SetBit(kCanDelete,true);
 
     for (Int_t i = 0; i < n; i++)
     {
         if (!used[i])
             continue;
         if (type == Resolution || type == Profile)
         {
             if (p[i] == firstp)
                 p[i]->Draw("P");
             else
                 p[i]->Draw("same P");
             legend->AddEntry(p[i],names[i],"pl");
         }
         else if (type == Histogram || type == OrgHistogram)
         {
             if (styles[i] >= 100)
             {
                 p[i]->Draw("same P0E");
                 legend->AddEntry(p[i],names[i],"pl");
             }
             else
             {
                 p[i]->Draw("same hist");
                 legend->AddEntry(p[i],names[i],"l");
             }
             legend->AddEntry((TObject*)0,meansrmss[i],"");
         }
     }
     if (legend->GetListOfPrimitives()->At(0) == 0)
     {
         stufftodelete->Clear();
         deleteCanvas(c1);
         return 0;
     }
 
     c1->Update();
     legend->Draw();
 
     double legendfraction = legend->GetY2() - legend->GetY1(); //apparently GetY1 and GetY2 give NDC coordinates.  This is not a mistake on my part
     double padheight = gPad->GetUymax() - gPad->GetUymin();
     //legendfraction = legendheight / padheight = newlegendheight / newpadheight
     //newpadheight = padheight + x
     //newlegendheight = newpadheight - padheight = x so it doesn't cover anything
     //==>legendfraction = x/(padheight+x)
     /* ==> */ double x = padheight*legendfraction / (1-legendfraction) * 1.5; //1.5 to give extra room
     maxp->GetYaxis()->SetRangeUser(gPad->GetUymin(), gPad->GetUymax() + x);
 
     TkAlStyle::drawStandardTitle();
 
     c1->Update();
 
     if (saveas != "")
         saveplot(c1,saveas);
 
     return c1;
 }
 
 
 //make a 1D histogram of Delta_yvar
 
 TCanvas *trackSplitPlot(Int_t nFiles,TString *files,TString *names,TString var,
                         Bool_t relative,Bool_t pull,TString saveas, ostream& summaryfile)
 {
     return trackSplitPlot(nFiles,files,names,"",var,relative,false,pull,saveas,summaryfile);
 }
 
 
 
 //For 1 file
 
 TCanvas *trackSplitPlot(TString file,TString xvar,TString yvar,Bool_t profile,
                         Bool_t relative,Bool_t resolution,Bool_t pull,
                         TString saveas, ostream& summaryfile)
 {
     Int_t nFiles = 0;
     if (profile)                       //it interprets nFiles < 1 as 1 file, make a scatterplot
         nFiles = 1;
     TString *files = &file;
     TString name = "";
     TString *names = &name;
     return trackSplitPlot(nFiles,files,names,xvar,yvar,relative,resolution,pull,saveas,summaryfile);
 }
 
 //make a 1D histogram of Delta_yvar
 
 TCanvas *trackSplitPlot(TString file,TString var,
                         Bool_t relative,Bool_t pull,
                         TString saveas, ostream& summaryfile)
 {
     Int_t nFiles = 1;
     TString *files = &file;
     TString name = "";
     TString *names = &name;
     return trackSplitPlot(nFiles,files,names,var,relative,pull,saveas,summaryfile);
 }
 
 void saveplot(TCanvas *c1,TString saveas)
 {
     if (saveas == "")
         return;
     TString saveas2 = saveas,
             saveas3 = saveas;
     saveas2.ReplaceAll(".pngepsroot","");
     saveas3.Remove(saveas3.Length()-11);
     if (saveas2 == saveas3)
     {
         c1->SaveAs(saveas.ReplaceAll(".pngepsroot",".png"));
         c1->SaveAs(saveas.ReplaceAll(".png",".eps"));
         c1->SaveAs(saveas.ReplaceAll(".eps",".root"));
         c1->SaveAs(saveas.ReplaceAll(".root",".pdf"));
     }
     else
     {
         c1->SaveAs(saveas);
     }
 }
 
 void deleteCanvas(TObject *canvas)
 {
     if (canvas == 0) return;
     if (!canvas->InheritsFrom("TCanvas"))
     {
         delete canvas;
         return;
     }
     TCanvas *c1 = (TCanvas*)canvas;
     TList *list = c1->GetListOfPrimitives();
     list->SetOwner(true);
     list->Clear();
     delete c1;
 }
 
 void setupcolors()
 {
     if (colorsset) return;
     colorsset = true;
     colors.clear();
     styles.clear();
     Color_t array[15] = {1,2,3,4,6,7,8,9,
                          kYellow+3,kOrange+10,kPink-2,kTeal+9,kAzure-8,kViolet-6,kSpring-1};
     for (int i = 0; i < 15; i++)
     {
         colors.push_back(array[i]);
         styles.push_back(1);       //Set the default to 1
                                    //This is to be consistent with the other validation
     }
 }
 
 //This makes a plot, of Delta_yvar vs. runNumber, zoomed in to between firstrun and lastrun.
 //Each bin contains 1 run.
 //Before interpreting the results, make sure to look at the histogram of run number (using yvar = "")
 //There might be bins with very few events => big error bars,
 //or just 1 event => no error bar
 
 void runNumberZoomed(Int_t nFiles,TString *files,TString *names,TString yvar,
                      Bool_t relative,Bool_t resolution,Bool_t pull,
                      Int_t firstRun,Int_t lastRun,TString saveas)
 {
     Int_t tempminrun = minrun;
     Int_t tempmaxrun = maxrun;
     minrun = firstRun;
     maxrun = lastRun;
     trackSplitPlot(nFiles,files,names,"runNumber",yvar,relative,resolution,pull,saveas);
     minrun = tempminrun;
     maxrun = tempmaxrun;
 }
 
 //==========================
 //1. Misalignment Dependence
 //==========================
 
 //This can do three different things:
 // (1) if xvar == "", it will plot the mean (if !resolution) or width (if resolution) of Delta_yvar as a function
 //     of the misalignment values, as given in values.  misalignment (e.g. sagitta, elliptical) will be used as the
 //     x axis label.
 // (2) if xvar != "", it will fit the profile/resolution to a function.  If parameter > 0, it will plot the parameter given by parameter as
 //     a function of the misalignment.  parametername is used as the y axis label.  You can put a semicolon in parametername
 //     to separate the name from the units.  Functionname describes the funciton, and is put in brackets in the y axis label.
 //     For example, to fit to Delta_pt = [0]*(eta_org-[1]), you could use functionname = "#Deltap_{T} = A(#eta-B)",
 //     parameter = 0, and parametername = "A;GeV".
 // (3) if parameter < 0, it will draw the profile/resolution along with the fitted functions.
 //     The parameter of interest is still indicated by parameter, which is transformed to -parameter - 1.
 //     For example, -1 --> 0, -2 --> 1, -3 --> 2, ...
 //     This parameter's value and error will be in the legend.  You still need to enter parametername and functionname,
 //     because they will be used for labels.
 
 //The best way to run misalignmentDependence is through makePlots.  If you want to run misalignmentDependence directly,
 //the LAST function, all the way at the bottom of this file, is probably the most practical to use (for all three of these).
 
 
 // The first function takes a canvas as its argument.  This canvas needs to have been produced with trackSplitPlot using
 // the same values of xvar, yvar, relative, resolution, and pull or something strange could happen.
 
 void misalignmentDependence(TCanvas *c1old,
                             Int_t nFiles,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString xvar,TString yvar,
                             TF1 *function,Int_t parameter,TString parametername,TString functionname,
                             Bool_t relative,Bool_t resolution,Bool_t pull,
                             TString saveas)
 {
     if (c1old == 0) return;
     c1old = (TCanvas*)c1old->Clone("c1old");
     if (misalignment == "" || yvar == "") return;
     Bool_t drawfits = (parameter < 0);
     if (parameter < 0)
         parameter = -parameter - 1;   //-1 --> 0, -2 --> 1, -3 --> 2, ...
     TString yaxislabel = nPart(1,parametername);
     TString parameterunits = nPart(2,parametername);
     if (parameterunits != "")
         yaxislabel.Append(" (").Append(parameterunits).Append(")");
     TList *list = c1old->GetListOfPrimitives();
     //const int n = list->GetEntries() - 2 - (xvar == "");
     const int n = nFiles;
 
     gStyle->SetOptStat(0);
     gStyle->SetOptFit(0);
     gStyle->SetFitFormat("5.4g");
     gStyle->SetFuncColor(2);
     gStyle->SetFuncStyle(1);
     gStyle->SetFuncWidth(1);
 
     TH1 **p = new TH1*[n];
     TF1 **f = new TF1*[n];
     bool used[n];
     for (Int_t i = 0; i < n; i++)
     {
         stringstream s0;
         s0 << "p" << i;
         TString pname = s0.str();
         p[i] = (TH1*)list->/*At(i+1+(xvar == ""))*/FindObject(pname);
         used[i] = (p[i] != 0);
         if (used[i])
             p[i]->SetDirectory(0);
         if (xvar == "")
             continue;
         stringstream s;
         s << function->GetName() << i;
         TString newname = s.str();
         f[i] = (TF1*)function->Clone(newname);
         stufftodelete->Add(f[i]);
     }
 
     Double_t *result = new Double_t[nFiles];
     Double_t *error  = new Double_t[nFiles];
     if (xvar == "")
     {
         yaxislabel = axislabel(yvar,'y',relative,resolution,pull);
         for (Int_t i = 0; i < nFiles; i++)
         {
             if (!used[i]) continue;
             if (!resolution)
             {
                 result[i] = p[i]->GetMean();
                 error[i]  = p[i]->GetMeanError();
             }
             else
             {
                 result[i] = p[i]->GetRMS();
                 error[i]  = p[i]->GetRMSError();
             }
             cout << result[i] << " +/- " << error[i] << endl;
         }
     }
     else
     {
         for (int i = 0; i < n; i++)
         {
             if (!used[i]) continue;
             f[i]->SetLineColor(colors[i]);
             f[i]->SetLineStyle(styles[i]);
             f[i]->SetLineWidth(1);
             p[i]->SetMarkerColor(colors[i]);
             p[i]->SetMarkerStyle(20+i);
             p[i]->SetLineColor(colors[i]);
             p[i]->SetLineStyle(styles[i]);
             p[i]->Fit(f[i],"IM");
             error[i]  = f[i]->GetParError (parameter);
             //the fits sometimes don't work if the parameters are constrained.
             //take care of the constraining here.
             //for sine, make the amplitude positive and the phase between 0 and 2pi.
             //unless the amplitude is the only parameter (eg sagitta theta theta)
             if (function->GetName() == TString("sine") && function->GetNumberFreeParameters() >= 2)
             {
                 if (f[i]->GetParameter(0) < 0)
                 {
                     f[i]->SetParameter(0,-f[i]->GetParameter(0));
                     f[i]->SetParameter(2,f[i]->GetParameter(2)+pi);
                 }
                 while(f[i]->GetParameter(2) >= 2*pi)
                     f[i]->SetParameter(2,f[i]->GetParameter(2)-2*pi);
                 while(f[i]->GetParameter(2) < 0)
                     f[i]->SetParameter(2,f[i]->GetParameter(2)+2*pi);
             }
             result[i] = f[i]->GetParameter(parameter);
         }
     }
 
 
     TCanvas *c1 = TCanvas::MakeDefCanvas();
 
     if (drawfits && xvar != "" && yvar != "")
     {
         TString legendtitle = "[";
         legendtitle.Append(functionname);
         legendtitle.Append("]");
         TLegend *legend = new TLegend(.7,.7,.9,.9,legendtitle,"br");
         stufftodelete->Add(legend);
         TString drawoption = "";
         for (int i = 0; i < n; i++)
         {
             if (!used[i]) continue;
             p[i]->Draw(drawoption);
             f[i]->Draw("same");
             drawoption = "same";
 
             stringstream s;
             s.precision(3);
             s << nPart(1,parametername) << " = " <<  result[i] << " #pm " << error[i];
             if (parameterunits != "") s << " " << parameterunits;
             TString str = s.str();
             legend->AddEntry(p[i],names[i],"pl");
             legend->AddEntry(f[i],str,"l");
         }
         c1->Update();
         Double_t x1min  = .98*gPad->GetUxmin() + .02*gPad->GetUxmax();
         Double_t x2max  = .02*gPad->GetUxmin() + .98*gPad->GetUxmax();
         Double_t y1min  = .98*gPad->GetUymin() + .02*gPad->GetUymax();
         Double_t y2max  = .02*gPad->GetUymin() + .98*gPad->GetUymax();
         Double_t width  = .4*(x2max-x1min);
         Double_t height = (1./20)*legend->GetListOfPrimitives()->GetEntries()*(y2max-y1min);
         width *= 2;
         height /= 2;
         legend->SetNColumns(2);
 
         Double_t newy2max = placeLegend(legend,width,height,x1min,y1min,x2max,y2max);
         p[0]->GetYaxis()->SetRangeUser(gPad->GetUymin(),(newy2max-.02*gPad->GetUymin())/.98);
 
         legend->SetFillStyle(0);
         legend->Draw();
     }
     else
     {
         if (values == 0) return;
 
         Bool_t phasesmatter = false;
         if (misalignment == "elliptical" || misalignment == "sagitta" || misalignment == "skew")
         {
             if (phases == 0)
             {
                 cout << "This misalignment has a phase, but you didn't supply the phases!" << endl
                      << "Can't produce plots depending on the misalignment value." << endl;
                 return;
             }
             int firstnonzero = -1;
             for (Int_t i = 0; i < nFiles; i++)
             {
                 if (values[i] == 0) continue;                    //if the amplitude is 0 the phase is arbitrary
                 if (firstnonzero == -1) firstnonzero = i;
                 if (phases[i] != phases[firstnonzero])
                     phasesmatter = true;
             }
         }
 
         if (!phasesmatter)
         {
             TGraphErrors *g = new TGraphErrors(nFiles,values,result,(Double_t*)0,error);
             g->SetName("");
             stufftodelete->Add(g);
 
             TString xaxislabel = "#epsilon_{";
             xaxislabel.Append(misalignment);
             xaxislabel.Append("}");
             g->GetXaxis()->SetTitle(xaxislabel);
             if (xvar != "")
             {
                 yaxislabel.Append("   [");
                 yaxislabel.Append(functionname);
                 yaxislabel.Append("]");
             }
             g->GetYaxis()->SetTitle(yaxislabel);
 
             g->SetMarkerColor(colors[0]);
             g->SetMarkerStyle(20);
 
             g->Draw("AP");
             Double_t yaxismax = g->GetYaxis()->GetXmax();
             Double_t yaxismin = g->GetYaxis()->GetXmin();
             if (yaxismin > 0)
             {
                 yaxismax += yaxismin;
                 yaxismin = 0;
             }
             g->GetYaxis()->SetRangeUser(yaxismin,yaxismax);
             g->Draw("AP");
         }
         else
         {
             double *xvalues = new double[nFiles];
             double *yvalues = new double[nFiles];      //these are not physically x and y (except in the case of skew)
             for (int i = 0; i < nFiles; i++)
             {
                 xvalues[i] = values[i] * cos(phases[i]);
                 yvalues[i] = values[i] * sin(phases[i]);
             }
             TGraph2DErrors *g = new TGraph2DErrors(nFiles,xvalues,yvalues,result,(Double_t*)0,(Double_t*)0,error);
             g->SetName("");
             stufftodelete->Add(g);
             delete[] xvalues;        //A TGraph2DErrors has its own copy of xvalues and yvalues, so it's ok to delete these copies.
             delete[] yvalues;
 
             TString xaxislabel = "#epsilon_{";
             xaxislabel.Append(misalignment);
             xaxislabel.Append("}cos(#delta)");
             TString realyaxislabel = xaxislabel;
             realyaxislabel.ReplaceAll("cos(#delta)","sin(#delta)");
             g->GetXaxis()->SetTitle(xaxislabel);
             g->GetYaxis()->SetTitle(realyaxislabel);
             TString zaxislabel = /*"fake"*/yaxislabel;         //yaxislabel is defined earlier
             if (xvar != "")
             {
                 zaxislabel.Append("   [");
                 zaxislabel.Append(functionname);
                 zaxislabel.Append("]");
             }
             g->GetZaxis()->SetTitle(zaxislabel);
             g->SetMarkerStyle(20);
             g->Draw("pcolerr");
         }
     }
 
     if (saveas != "")
     {
         saveplot(c1,saveas);
         delete[] p;
         delete[] f;
         delete[] result;
         delete[] error;
         delete c1old;
     }
 }
 
 
 //This version allows you to show multiple parameters.  It runs the previous version multiple times, once for each parameter.
 //saveas will be modified to indicate which parameter is being used each time.
 
 void misalignmentDependence(TCanvas *c1old,
                             Int_t nFiles,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString xvar,TString yvar,
                             TF1 *function,Int_t nParameters,Int_t *parameters,TString *parameternames,TString functionname,
                             Bool_t relative,Bool_t resolution,Bool_t pull,
                             TString saveas)
 {
     for (int i = 0; i < nParameters; i++)
     {
         TString saveasi = saveas;
         TString insert = nPart(1,parameternames[i]);
         insert.Prepend(".");
         saveasi.Insert(saveasi.Last('.'),insert);    //insert the parameter name before the file extension
         misalignmentDependence(c1old,
                                nFiles,names,misalignment,values,phases,xvar,yvar,
                                function,parameters[i],parameternames[i],functionname,
                                relative,resolution,pull,
                                saveasi);
     }
 }
 
 
 //This version does not take a canvas as its argument.  It runs trackSplitPlot to produce the canvas.
 
 void misalignmentDependence(Int_t nFiles,TString *files,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString xvar,TString yvar,
                             TF1 *function,Int_t parameter,TString parametername,TString functionname,
                             Bool_t relative,Bool_t resolution,Bool_t pull,
                             TString saveas)
 {
     misalignmentDependence(trackSplitPlot(nFiles,files,names,xvar,yvar,relative,resolution,pull,""),
                            nFiles,names,misalignment,values,phases,xvar,yvar,
                            function,parameter,parametername,functionname,
                            relative,resolution,pull,saveas);
 }
 
 void misalignmentDependence(Int_t nFiles,TString *files,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString xvar,TString yvar,
                             TF1 *function,Int_t nParameters,Int_t *parameters,TString *parameternames,TString functionname,
                             Bool_t relative,Bool_t resolution,Bool_t pull,
                             TString saveas)
 {
     for (int i = 0; i < nParameters; i++)
     {
         TString saveasi = saveas;
         TString insert = nPart(1,parameternames[i]);
         insert.Prepend(".");
         saveasi.Insert(saveasi.Last('.'),insert);    //insert the parameter name before the file extension
         misalignmentDependence(nFiles,files,names,misalignment,values,phases,xvar,yvar,
                                function,parameters[i],parameternames[i],functionname,
                                relative,resolution,pull,
                                saveasi);
     }
 }
 
 
 // This version allows you to use a string for the function.  It creates a TF1 using this string and uses this TF1
 
 void misalignmentDependence(TCanvas *c1old,
                             Int_t nFiles,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString xvar,TString yvar,
                             TString function,Int_t parameter,TString parametername,TString functionname,
                             Bool_t relative,Bool_t resolution,Bool_t pull,
                             TString saveas)
 {
     TF1 *f = new TF1("func",function);
     misalignmentDependence(c1old,nFiles,names,misalignment,values,phases,xvar,yvar,f,parameter,parametername,functionname,relative,resolution,pull,saveas);
     delete f;
 }
 
 void misalignmentDependence(TCanvas *c1old,
                             Int_t nFiles,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString xvar,TString yvar,
                             TString function,Int_t nParameters,Int_t *parameters,TString *parameternames,TString functionname,
                             Bool_t relative,Bool_t resolution,Bool_t pull,
                             TString saveas)
 {
     for (int i = 0; i < nParameters; i++)
     {
         TString saveasi = saveas;
         TString insert = nPart(1,parameternames[i]);
         insert.Prepend(".");
         saveasi.Insert(saveasi.Last('.'),insert);    //insert the parameter name before the file extension
         misalignmentDependence(c1old,
                                nFiles,names,misalignment,values,phases,xvar,yvar,
                                function,parameters[i],parameternames[i],functionname,
                                relative,resolution,pull,
                                saveasi);
     }
 }
 
 
 void misalignmentDependence(Int_t nFiles,TString *files,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString xvar,TString yvar,
                             TString function,Int_t parameter,TString parametername,TString functionname,
                             Bool_t relative,Bool_t resolution,Bool_t pull,
                             TString saveas)
 {
     TF1 *f = new TF1("func",function);
     misalignmentDependence(nFiles,files,names,misalignment,values,phases,xvar,yvar,f,parameter,parametername,functionname,relative,resolution,pull,saveas);
     delete f;
 }
 
 void misalignmentDependence(Int_t nFiles,TString *files,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString xvar,TString yvar,
                             TString function,Int_t nParameters,Int_t *parameters,TString *parameternames,TString functionname,
                             Bool_t relative,Bool_t resolution,Bool_t pull,
                             TString saveas)
 {
     for (int i = 0; i < nParameters; i++)
     {
         TString saveasi = saveas;
         TString insert = nPart(1,parameternames[i]);
         insert.Prepend(".");
         saveasi.Insert(saveasi.Last('.'),insert);    //insert the parameter name before the file extension
         misalignmentDependence(nFiles,files,names,misalignment,values,phases,xvar,yvar,
                                function,parameters[i],parameternames[i],functionname,
                                relative,resolution,pull,
                                saveasi);
     }
 }
 
 
 
 
 //This version does not take a function as its argument.  It automatically determines what function, parameter,
 //functionname, and parametername to use based on misalignment, xvar, yvar, relative, resolution, and pull.
 //However, you have to manually put into the function which plots to fit to what shapes.
 //The 2012A data, using the prompt geometry, is a nice example if you want to see an elliptical misalignment.
 //If drawfits is true, it draws the fits; otherwise it plots the parameter as a function of misalignment as given by values.
 
 //If the combination of misalignment, xvar, yvar, relative, resolution, pull has a default function to use, it returns true,
 // otherwise it returns false.
 
 //This is the version called by makeThesePlots.C
 
 Bool_t misalignmentDependence(TCanvas *c1old,
                               Int_t nFiles,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString xvar,TString yvar,
                               Bool_t drawfits,
                               Bool_t relative,Bool_t resolution,Bool_t pull,
                               TString saveas)
 {
     if (xvar == "")
     {
         if (c1old == 0 || misalignment == "" || values == 0) return false;
         misalignmentDependence(c1old,nFiles,names,misalignment,values,phases,xvar,yvar,(TF1*)0,0,"","",relative,resolution,pull,saveas);
         return true;
     }
     TF1 *f = 0;
     TString functionname = "";
 
     //if only one parameter is of interest
     TString parametername = "";
     Int_t parameter = 9999;
 
     //if multiple parameters are of interest
     Int_t nParameters = -1;
     TString *parameternames = 0;
     Int_t *parameters = 0;
 
     if (misalignment == "sagitta")
     {
         if (xvar == "phi" && yvar == "phi" && !resolution && !pull)
         {
             f = new TF1("sine","-[0]*cos([1]*x+[2])");
             f->FixParameter(1,1);
             f->SetParameter(0,6e-4);
             nParameters = 2;
             Int_t tempParameters[2] = {0,2};
             TString tempParameterNames[2] = {"A;mrad","B"};
             parameters = tempParameters;
             parameternames = tempParameterNames;
             functionname = "#Delta#phi=-Acos(#phi+B)";
         }
         if (xvar == "theta" && yvar == "theta" && !resolution && pull)
         {
             f = new TF1("line","-[0]*(x+[1])");
             f->FixParameter(1,-pi/2);
             parametername = "A";
             functionname = "#Delta#theta/#delta(#Delta#theta)=-A(#theta-#pi/2)";
             parameter = 0;
         }
         if (xvar == "theta" && yvar == "theta" && !resolution && !pull)
         {
             f = new TF1("sine","[0]*sin([1]*x+[2])");
             f->FixParameter(1,2);
             f->FixParameter(2,0);
             parametername = "A;mrad";
             functionname = "#Delta#theta=-Asin(2#theta)";
             parameter = 0;
         }
     }
     if (misalignment == "elliptical")
     {
         if (xvar == "phi" && yvar == "dxy" && !resolution && !pull)
         {
             f = new TF1("sine","[0]*sin([1]*x-[2])");
             //f = new TF1("sine","[0]*sin([1]*x-[2]) + [3]");
             f->FixParameter(1,-2);
             f->SetParameter(0,5e-4);
 
             nParameters = 2;
             Int_t tempParameters[2] = {0,2};
             TString tempParameterNames[2] = {"A;#mum","B"};
             //nParameters = 3;
             //Int_t tempParameters[3] = {0,2,3};
             //TString tempParameterNames[3] = {"A;#mum","B","C;#mum"};
 
             parameters = tempParameters;
             parameternames = tempParameterNames;
             functionname = "#Deltad_{xy}=-Asin(2#phi+B)";
             //functionname = "#Deltad_{xy}=-Asin(2#phi+B)+C";
         }
         if (xvar == "phi" && yvar == "dxy" && !resolution && pull)
         {
             f = new TF1("sine","[0]*sin([1]*x-[2])");
             //f = new TF1("sine","[0]*sin([1]*x-[2]) + [3]");
 
             f->FixParameter(1,-2);
 
             nParameters = 2;
             Int_t tempParameters[2] = {0,2};
             TString tempParameterNames[2] = {"A","B"};
             //nParameters = 3;
             //Int_t tempParameters[3] = {0,2,3};
             //TString tempParameterNames[3] = {"A","B","C"};
 
             parameters = tempParameters;
             parameternames = tempParameterNames;
 
             functionname = "#Deltad_{xy}/#delta(#Deltad_{xy})=-Asin(2#phi+B)";
             //functionname = "#Deltad_{xy}/#delta(#Deltad_{xy})=-Asin(2#phi+B)+C";
         }
 
         if (xvar == "theta" && yvar == "dz" && !resolution && !pull)
         {
             f = new TF1("line","-[0]*(x-[1])");
             f->FixParameter(1,pi/2);
             parametername = "A;#mum";
             functionname = "#Deltad_{z}=-A(#theta-#pi/2)";
             parameter = 0;
         }
         /*
         This fit doesn't work
         if (xvar == "theta" && yvar == "dz" && !resolution && pull)
         {
             f = new TF1("sine","[0]*sin([1]*x+[2])");
             f->FixParameter(2,-pi/2);
             f->FixParameter(1,1);
             parametername = "A";
             functionname = "#Deltad_{z}/#delta(#Deltad_{z})=Acos(#theta)";
             parameter = 0;
         }
         */
         if (xvar == "dxy" && yvar == "phi" && !resolution && !pull)
         {
             f = new TF1("line","-[0]*(x-[1])");
             f->FixParameter(1,0);
             parametername = "A;mrad/cm";
             functionname = "#Delta#phi=-A(d_{xy})";
             parameter = 0;
         }
         if (xvar == "dxy" && yvar == "phi" && !resolution && pull)
         {
             f = new TF1("line","-[0]*(x-[1])");
             f->FixParameter(1,0);
             parametername = "A;cm^{-1}";
             functionname = "#Delta#phi/#delta(#Delta#phi)=-A(d_{xy})";
             parameter = 0;
         }
     }
     if (misalignment == "skew")
     {
         if (xvar == "phi" && yvar == "theta" && resolution && !pull)
         {
             f = new TF1("sine","[0]*sin([1]*x+[2])+[3]");
             f->FixParameter(1,2);
             nParameters = 3;
             Int_t tempParameters[3] = {0,2,3};
             TString tempParameterNames[3] = {"A;mrad","B","C;mrad"};
             parameters = tempParameters;
             parameternames = tempParameterNames;
             functionname = "#sigma(#Delta#theta)=Asin(2#phi+B)+C";
         }
         if (xvar == "phi" && yvar == "eta" && resolution && !pull)
         {
             f = new TF1("sine","[0]*sin([1]*x+[2])+[3]");
             f->FixParameter(1,2);
             nParameters = 3;
             Int_t tempParameters[3] = {0,2,3};
             TString tempParameterNames[3] = {"A;mrad","B","C;mrad"};
             parameters = tempParameters;
             parameternames = tempParameterNames;
             functionname = "#sigma(#Delta#eta)=Asin(2#phi+B)+C";
         }
         if (xvar == "phi" && yvar == "theta" && resolution && pull)
         {
             f = new TF1("sine","[0]*sin([1]*x+[2])+[3]");
             f->FixParameter(1,2);
             nParameters = 3;
             Int_t tempParameters[3] = {0,2,3};
             TString tempParameterNames[3] = {"A","B","C"};
             parameters = tempParameters;
             parameternames = tempParameterNames;
             functionname = "#sigma(#Delta#theta/#delta(#Delta#theta))=Asin(2#phi+B)+C";
         }
         if (xvar == "phi" && yvar == "eta" && resolution && pull)
         {
             f = new TF1("sine","[0]*sin([1]*x+[2])+[3]");
             f->FixParameter(1,2);
             nParameters = 3;
             Int_t tempParameters[3] = {0,2,3};
             TString tempParameterNames[3] = {"A","B","C"};
             parameters = tempParameters;
             parameternames = tempParameterNames;
             functionname = "#sigma(#Delta#eta/#delta(#Delta#eta))=Asin(2#phi+B)+C";
         }
         if (xvar == "phi" && yvar == "dz" && !resolution && !pull)
         {
             f = new TF1("tanh","[0]*(tanh([1]*(x+[2]))   )");  // - tanh(([3]-[1])*x+[2]) + 1)");
             //f = new TF1("tanh","[0]*(tanh([1]*(x+[2])) + tanh([1]*([3]-[2]-x)) - 1)");
             f->SetParameter(0,100);
             f->SetParLimits(1,-20,20);
             f->SetParLimits(2,0,pi);
             f->FixParameter(3,pi);
             nParameters = 3;
             Int_t tempParameters[3] = {0,1,2};
             TString tempParameterNames[3] = {"A;#mum","B","C"};
             parameters = tempParameters;
             parameternames = tempParameterNames;
             functionname = "#Deltad_{z}=Atanh(B(#phi+C))";
             //functionname = "#Deltad_{z}=A(tanh(B(#phi+C)) + tanh(B(#pi-#phi-C)) - 1";
         }
     }
     if (misalignment == "layerRot")
     {
         if (xvar == "qoverpt" && yvar == "qoverpt" && !relative && !resolution && !pull)
         {
             f = new TF1("sech","[0]/cosh([1]*(x+[2]))+[3]");
             //f = new TF1("gauss","[0]/exp(([1]*(x+[2]))^2)+[3]");   //sech works better than a gaussian
             f->SetParameter(0,1);
             f->SetParameter(1,1);
             f->SetParLimits(1,0,10);
             f->FixParameter(2,0);
             f->FixParameter(3,0);
             nParameters = 2;
             Int_t tempParameters[2] = {0,1};
             TString tempParameterNames[2] = {"A;10^{-3}e/GeV","B;GeV/e"};
             parameters = tempParameters;
             parameternames = tempParameterNames;
             functionname = "#Delta(q/p_{T})=Asech(B(q/p_{T}))";
         }
     }
     if (misalignment == "telescope")
     {
         if (xvar == "theta" && yvar == "theta" && !relative && !resolution && !pull)
         {
             f = new TF1("gauss","[0]/exp(([1]*(x+[2]))^2)+[3]");
             f->SetParameter(0,1);
             f->SetParameter(1,1);
             f->SetParLimits(1,0,10);
             f->FixParameter(2,-pi/2);
             f->FixParameter(3,0);
             nParameters = 2;
             Int_t tempParameters[2] = {0,1};
             TString tempParameterNames[2] = {"A;mrad","B"};
             parameters = tempParameters;
             parameternames = tempParameterNames;
             functionname = "#Delta#theta=Aexp(-(B(#theta-#pi/2))^{2})";
         }
     }
     if (functionname == "") return false;
     if (drawfits)
     {
         parameter = -parameter-1;
         for (int i = 0; i < nParameters; i++)
             parameters[i] = -parameters[i]-1;
     }
     if (nParameters > 0)
         misalignmentDependence(c1old,nFiles,names,misalignment,values,phases,xvar,yvar,
                                f,nParameters,parameters,parameternames,functionname,relative,resolution,pull,saveas);
     else
         misalignmentDependence(c1old,nFiles,names,misalignment,values,phases,xvar,yvar,
                                f,parameter,parametername,functionname,relative,resolution,pull,saveas);
     delete f;
     return true;
 
 }
 
 
 //This is the most practically useful version.  It does not take a canvas, but produces it automatically and then determines what
 //function to fit it to.
 
 Bool_t misalignmentDependence(Int_t nFiles,TString *files,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString xvar,TString yvar,
                               Bool_t drawfits,
                               Bool_t relative,Bool_t resolution,Bool_t pull,
                               TString saveas)
 {
     return misalignmentDependence(trackSplitPlot(nFiles,files,names,xvar,yvar,relative,resolution,pull,""),
                                   nFiles,names,misalignment,values,phases,xvar,yvar,
                                   drawfits,relative,resolution,pull,saveas);
 }
 
 Bool_t hasFit(TString misalignment,TString xvar,TString yvar,Bool_t relative,Bool_t resolution,Bool_t pull)
 {
     return misalignmentDependence((TCanvas*)0,
                                   0,(TString*)0,misalignment,(Double_t*)0,(Double_t*)0,xvar,yvar,
                                   false,
                                   relative,resolution,pull,
                                   TString(""));
 }
 
 //=============
 //2. Make Plots
 //=============
 
 void makePlots(Int_t nFiles,TString *files,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString directory,
                Bool_t matrix[xsize][ysize])
 {
     stufftodelete->SetOwner(true);
 
     for (Int_t i = 0, totaltime = 0; i < nFiles; i++)
     {
         TFile *f = 0;
         bool exists = false;
         if (files[i] == "") exists = true;
 
         for (int j = 1; j <= 60*24 && !exists; j++, totaltime++)  //wait up to 1 day for the validation to be finished
         {
             f = TFile::Open(files[i]);
             if (f != 0)
                 exists = f->IsOpen();
             delete f;
             if (exists) continue;
             gSystem->Sleep(60000);
             cout << "It's been ";
             if (j >= 60)
                 cout << j/60 << " hour";
             if (j >= 120)
                 cout << "s";
             if (j % 60 != 0 && j >= 60)
                 cout << " and ";
             if (j % 60 != 0)
                 cout << j%60 << " minute";
             if (j % 60 >= 2)
                 cout << "s";
             cout << endl;
         }
         if (!exists) return;
         if (i == nFiles - 1 && totaltime > nFiles)
             gSystem->Sleep(60000);
     }
 
     TString directorytomake = directory;
     gSystem->mkdir(directorytomake,true);
 
     ofstream summaryfile(directorytomake+"/TrackSplittingValidationSummary.txt");
     for (int i = 0; i < nFiles; i++) {
         summaryfile << "\t" << TString(names[i]).ReplaceAll("#", "\\");
     }
     summaryfile << "\tformat={}\tlatexformat={}\n";
 
     if (misalignment != "")
     {
         directorytomake.Append("/fits");
         gSystem->mkdir(directorytomake);
     }
 
     for (Int_t x = 0; x < xsize; x++)
     {
         for (Int_t y = 0; y < ysize; y++)
         {
             for (Int_t pull = 0; pull == 0 || (pull == 1 && yvariables[y] != ""); pull++)
             {
                 if (false) continue;        //this line is to make it easier to do e.g. all plots involving Delta eta
                                             //(replace false with yvariables[y] != "eta")
 
                 if (!matrix[x][y]) continue;
 
                 if (xvariables[x] == "" && yvariables[y] == "") continue;
 
                 Int_t nPlots = nFiles+4;                     //scatterplot for each (if you uncomment it), profile, resolution, and fits for each.
                 vector<TString> s;
 
                 TString slashstring = "";
                 if (directory.Last('/') != directory.Length() - 1) slashstring = "/";
 
                 vector<TString> plotnames;
                 for (Int_t i = 0; i < nFiles; i++)
                 {
                     plotnames.push_back(names[i]);   //this is plotnames[i]
                     plotnames[i].ReplaceAll(" ","");
                 }
 
                 plotnames.push_back("");             //this is plotnames[nFiles], but gets changed
                 if (yvariables[y] == "")
                     plotnames[nFiles] = "orghist";
                 else if (xvariables[x] == "")
                     plotnames[nFiles] = "hist";
                 else
                     plotnames[nFiles] = "profile";
 
                 plotnames.push_back("resolution");   //this is plotnames[nFiles+1]
 
                 plotnames.push_back("");             //this is plotnames[nFiles+2]
                 plotnames.push_back("");             //this is plotnames[nFiles+3]
                 if (plotnames[nFiles] == "profile")
                 {
                     plotnames[nFiles+2] = ".profile";
                     plotnames[nFiles+2].Prepend(misalignment);
                     plotnames[nFiles+3] = ".resolution";
                     plotnames[nFiles+3].Prepend(misalignment);
                     plotnames[nFiles+2].Prepend("fits/");
                     plotnames[nFiles+3].Prepend("fits/");
                 }
                 else
                 {
                     plotnames[nFiles+2] = "profile.";
                     plotnames[nFiles+2].Append(misalignment);
                     plotnames[nFiles+3] = "resolution.";
                     plotnames[nFiles+3].Append(misalignment);
                 }
 
                 TString pullstring = "";
                 if (pull) pullstring = "pull.";
 
                 TString xvarstring = xvariables[x];
                 if (xvariables[x] != "runNumber" && !xvariables[x].BeginsWith("nHits") && xvariables[x] != "") xvarstring.Append("_org");
                 if (xvariables[x] != "" && yvariables[y] != "") xvarstring.Append(".");
 
                 TString yvarstring = yvariables[y];
                 if (yvariables[y] != "") yvarstring.Prepend("Delta_");
 
                 TString relativestring = "";
                 if (relativearray[y]) relativestring = ".relative";
 
                 for (Int_t i = 0; i < nPlots; i++)
                 {
                     stringstream ss;
                     ss << directory << slashstring << plotnames[i] << "." << pullstring
                        << xvarstring << yvarstring << relativestring << ".pngepsroot";
                     s.push_back(ss.str());
                     if (misalignment != "")
                     {
                         TString wrongway = misalignment;
                         TString rightway = misalignment;
                         wrongway.Append (".pull");
                         rightway.Prepend("pull.");
                         s[i].ReplaceAll(wrongway,rightway);
                     }
                 }
 
                 Int_t i;
                 for (i = 0; i < nFiles; i++)
                 {
                     if (xvariables[x] == "" || yvariables[y] == "") continue;
                     //uncomment this section to make scatterplots
                     /*
                     trackSplitPlot(files[i],xvariables[x],yvariables[y],false,relativearray[y],false,(bool)pull,s[i]);
                     stufftodelete->Clear();
                     for ( ; gROOT->GetListOfCanvases()->GetEntries() > 0; )
                         deleteCanvas( gROOT->GetListOfCanvases()->Last());
                     for ( ; gROOT->GetListOfFiles()->GetEntries() > 0; )
                         delete (TFile*)gROOT->GetListOfFiles()->Last();
                     */
                 }
 
                 if (xvariables[x] != "" && yvariables[y] != "")
                 {
                     //make profile
                     TCanvas *c1 = trackSplitPlot(nFiles,files,names,xvariables[x],yvariables[y],relativearray[y],false,(bool)pull,s[i],summaryfile);
                     if (misalignmentDependence(c1,nFiles,names,misalignment,values,phases,xvariables[x],yvariables[y],
                                                true,relativearray[y],false,(bool)pull,s[i+2]))
                     {
                         s[i+2].ReplaceAll(".png",".parameter.png");
                         misalignmentDependence(c1,nFiles,names,misalignment,values,phases,xvariables[x],yvariables[y],
                                                    false,relativearray[y],false,(bool)pull,s[i+2]);
                     }
                     stufftodelete->Clear();
                     for ( ; gROOT->GetListOfCanvases()->GetEntries() > 0; )
                         deleteCanvas( gROOT->GetListOfCanvases()->Last());
                     for ( ; gROOT->GetListOfFiles()->GetEntries() > 0; )
                         delete (TFile*)gROOT->GetListOfFiles()->Last();
 
                     //make resolution plot
                     TCanvas *c2 = trackSplitPlot(nFiles,files,names,xvariables[x],yvariables[y],relativearray[y],true ,(bool)pull,s[i+1],summaryfile);
                     if (misalignmentDependence(c2,nFiles,names,misalignment,values,phases,xvariables[x],yvariables[y],
                                                true,relativearray[y],true,(bool)pull,s[i+3]))
                     {
                         s[i+3].ReplaceAll(".png",".parameter.png");
                         misalignmentDependence(c2,nFiles,names,misalignment,values,phases,xvariables[x],yvariables[y],
                                                    false,relativearray[y],true,(bool)pull,s[i+3]);
                     }
                     stufftodelete->Clear();
                     for ( ; gROOT->GetListOfCanvases()->GetEntries() > 0; )
                         deleteCanvas( gROOT->GetListOfCanvases()->Last());
                     for ( ; gROOT->GetListOfFiles()->GetEntries() > 0; )
                         delete (TFile*)gROOT->GetListOfFiles()->Last();
                 }
                 else
                 {
                     //make histogram
                     TCanvas *c1 = trackSplitPlot(nFiles,files,names,xvariables[x],yvariables[y],relativearray[y],false,(bool)pull,s[i],summaryfile);
                     if (misalignmentDependence(c1,nFiles,names,misalignment,values,phases,xvariables[x],yvariables[y],
                                                true,relativearray[y],false,(bool)pull,s[i+2]))
                     {
                         misalignmentDependence(c1,nFiles,names,misalignment,values,phases,xvariables[x],yvariables[y],
                                                true,relativearray[y],true,(bool)pull,s[i+3]);
                     }
                     stufftodelete->Clear();
                     for ( ; gROOT->GetListOfCanvases()->GetEntries() > 0; )
                         deleteCanvas( gROOT->GetListOfCanvases()->Last());
                     for ( ; gROOT->GetListOfFiles()->GetEntries() > 0; )
                         delete (TFile*)gROOT->GetListOfFiles()->Last();
                 }
             }
             cout << y + ysize * x + 1 << "/" << xsize*ysize << endl;
         }
     }
 }
 
 void makePlots(Int_t nFiles,TString *files,TString *names,TString directory, Bool_t matrix[xsize][ysize])
 {
     makePlots(nFiles,files,names,"",(Double_t*)0,(Double_t*)0,directory,
               matrix);
 }
 
 void makePlots(TString file,TString misalignment,Double_t *values,Double_t *phases,TString directory,Bool_t matrix[xsize][ysize])
 {
     setupcolors();
     file.Remove(TString::kTrailing, ',');
     int n = file.CountChar(',') + 1;
     TString *files = new TString[n];
     TString *names = new TString[n];
     vector<Color_t> tempcolors = colors;
     vector<Style_t> tempstyles = styles;
     for (int i = 0; i < n; i++)
     {
         TString thisfile = nPart(i+1,file,",");
         int numberofpipes = thisfile.CountChar('|');
         if (numberofpipes >= 0 && nPart(numberofpipes+1,thisfile,"|").IsDigit())
         {
             if (numberofpipes >= 1 && nPart(numberofpipes,thisfile,"|").IsDigit())
             {
                 colors[i] = nPart(numberofpipes,thisfile,"|").Atoi();
                 styles[i] = nPart(numberofpipes+1,thisfile,"|").Atoi();
                 thisfile.Remove(thisfile.Length() - nPart(numberofpipes,thisfile,"|").Length() - nPart(numberofpipes+1,thisfile,"|").Length() - 2);
             }
             else
             {
                 colors[i] = nPart(numberofpipes + 1,thisfile,"|").Atoi();
                 thisfile.Remove(thisfile.Length() - nPart(numberofpipes+1,thisfile,"|").Length() - 2);
             }
         }
         files[i] = nPart(1,thisfile,"=",true);
         names[i] = nPart(2,thisfile,"=",false);
     }
     if (n == 1 && names[0] == "")
         names[0] = "scatterplot";     //With 1 file there's no legend, so this is only used in the filename of the scatterplots, if made
     makePlots(n,files,names,misalignment,values,phases,directory,matrix);
     delete[] files;
     delete[] names;
     colors = tempcolors;
     styles = tempstyles;
 }
 
 void makePlots(TString file,TString directory,Bool_t matrix[xsize][ysize])
 {
     makePlots(file,"",(Double_t*)0,(Double_t*)0,directory,matrix);
 }
 
 //***************************************************************************
 //functions to make plots for 1 row, column, or cell of the matrix
 //examples:
 //   xvar = "nHits", yvar = "ptrel" - makes plots of nHits vs Delta_pt/pt_org
 //   xvar = "all",   yvar = "pt"    - makes all plots involving Delta_pt
 //                                    (not Delta_pt/pt_org)
 //   xvar = "",      yvar = "all"   - makes all histograms of Delta_???
 //                                    (including Delta_pt/pt_org)
 //***************************************************************************
 
 void makePlots(Int_t nFiles,TString *files,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString directory,
                TString xvar,TString yvar)
 {
     Bool_t matrix[xsize][ysize];
     for (int x = 0; x < xsize; x++)
         for (int y = 0; y < ysize; y++)
         {
             bool xmatch = (xvar == "all" || xvar == xvariables[x]);
             bool ymatch = (yvar == "all" || yvar == yvariables[y]);
             if (yvar == "pt" && yvariables[y] == "pt" && relativearray[y] == true)
                 ymatch = false;
             if (yvar == "ptrel" && yvariables[y] == "pt" && relativearray[y] == true)
                 ymatch = true;
             matrix[x][y] = (xmatch && ymatch);
         }
     makePlots(nFiles,files,names,misalignment,values,phases,directory,matrix);
 }
 
 void makePlots(Int_t nFiles,TString *files,TString *names,TString directory,
                TString xvar,TString yvar)
 {
     makePlots(nFiles,files,names,"",(Double_t*)0,(Double_t*)0,directory,
               xvar,yvar);
 }
 
 void makePlots(TString file,TString misalignment,Double_t *values,Double_t *phases,TString directory,
                TString xvar,TString yvar)
 {
     setupcolors();
     file.Remove(TString::kTrailing, ',');
     int n = file.CountChar(',') + 1;
     TString *files = new TString[n];
     TString *names = new TString[n];
     vector<Color_t> tempcolors = colors;
     vector<Style_t> tempstyles = styles;
     for (int i = 0; i < n; i++)
     {
         TString thisfile = nPart(i+1,file,",");
         int numberofpipes = thisfile.CountChar('|');
         if (numberofpipes >= 0 && nPart(numberofpipes+1,thisfile,"|").IsDigit())
         {
             if (numberofpipes >= 1 && nPart(numberofpipes,thisfile,"|").IsDigit())
             {
                 colors[i] = nPart(numberofpipes,thisfile,"|").Atoi();
                 styles[i] = nPart(numberofpipes+1,thisfile,"|").Atoi();
                 thisfile.Remove(thisfile.Length() - nPart(numberofpipes,thisfile,"|").Length() - nPart(numberofpipes+1,thisfile,"|").Length() - 2);
             }
             else
             {
                 colors[i] = nPart(numberofpipes + 1,thisfile,"|").Atoi();
                 thisfile.Remove(thisfile.Length() - nPart(numberofpipes+1,thisfile,"|").Length() - 2);
             }
         }
         files[i] = nPart(1,thisfile,"=",true);
         names[i] = nPart(2,thisfile,"=",false);
     }
     if (n == 1 && names[0] == "")
         names[0] = "scatterplot";     //With 1 file there's no legend, so this is only used in the filename of the scatterplots, if made
     makePlots(n,files,names,misalignment,values,phases,directory,xvar,yvar);
     delete[] files;
     delete[] names;
     colors = tempcolors;
     styles = tempstyles;
 }
 
 void makePlots(TString file,TString directory,TString xvar,TString yvar)
 {
     makePlots(file,"",(Double_t*)0,(Double_t*)0,directory,xvar,yvar);
 }
 
 //***************************
 //functions to make all plots
 //***************************
 
 void makePlots(Int_t nFiles,TString *files,TString *names,TString misalignment,Double_t *values,Double_t *phases,TString directory)
 {
     makePlots(nFiles,files,names,misalignment,values,phases,directory,"all","all");
 }
 
 void makePlots(Int_t nFiles,TString *files,TString *names,TString directory)
 {
     makePlots(nFiles,files,names,"",(Double_t*)0,(Double_t*)0,directory);
 }
 
 void makePlots(TString file,TString misalignment,Double_t *values,Double_t *phases,TString directory)
 {
     setupcolors();
     file.Remove(TString::kTrailing, ',');
     int n = file.CountChar(',') + 1;
     TString *files = new TString[n];
     TString *names = new TString[n];
     vector<Color_t> tempcolors = colors;
     vector<Style_t> tempstyles = styles;
     for (int i = 0; i < n; i++)
     {
         TString thisfile = nPart(i+1,file,",");
         int numberofpipes = thisfile.CountChar('|');
         if (numberofpipes >= 0 && nPart(numberofpipes+1,thisfile,"|").IsDigit())
         {
             if (numberofpipes >= 1 && nPart(numberofpipes,thisfile,"|").IsDigit())
             {
                 colors[i] = nPart(numberofpipes,thisfile,"|").Atoi();
                 styles[i] = nPart(numberofpipes+1,thisfile,"|").Atoi();
                 thisfile.Remove(thisfile.Length() - nPart(numberofpipes,thisfile,"|").Length() - nPart(numberofpipes+1,thisfile,"|").Length() - 2);
             }
             else
             {
                 colors[i] = nPart(numberofpipes + 1,thisfile,"|").Atoi();
                 thisfile.Remove(thisfile.Length() - nPart(numberofpipes+1,thisfile,"|").Length() - 2);
             }
         }
         files[i] = nPart(1,thisfile,"=",true);
         names[i] = nPart(2,thisfile,"=",false);
     }
     if (n == 1 && names[0] == "")
         names[0] = "scatterplot";     //With 1 file there's no legend, so this is only used in the filename of the scatterplots, if made
     makePlots(n,files,names,misalignment,values,phases,directory);
     delete[] files;
     delete[] names;
     colors = tempcolors;
     styles = tempstyles;
 }
 
 void makePlots(TString file,TString directory)
 {
     makePlots(file,"",(Double_t*)0,(Double_t*)0,directory);
 }
 
 //=============
 //3. Axis Label
 //=============
 
 TString fancyname(TString variable)
 {
     if (variable == "pt")
         return "p_{T}";
     else if (variable == "phi")
         return "#phi";
     else if (variable == "eta")
         return "#eta";
     else if (variable == "theta")
         return "#theta";
     else if (variable == "qoverpt")
         return "q/p_{T}";
     else if (variable == "runNumber")
         return "run number";
     else if (variable == "dxy" || variable == "dz")
         return variable.ReplaceAll("d","d_{").Append("}");
     else
         return variable;
 }
 
 //this gives the units, to be put in the axis label
 TString units(TString variable,Char_t axis)
 {
     if (variable == "pt")
         return "GeV";
     if (variable == "dxy" || variable == "dz")
     {
         if (axis == 'y')
             return "#mum";      //in the tree, it's listed in centimeters, but in trackSplitPlot the value is divided by 1e4
         if (axis == 'x')
             return "cm";
     }
     if (variable == "qoverpt")
     {
         if (axis == 'y')
             return "#times10^{-3}e/GeV";   //e/TeV is not particularly intuitive
         if (axis == 'x')
             return "e/GeV";
     }
     if (axis == 'y' && (variable == "phi" || variable == "theta"))
         return "mrad";
     return "";
 }
 
 TString plainunits(TString variable, char axis) {
     TString result = units(variable, axis);
     result.ReplaceAll("#mu", "u");
     result.ReplaceAll("#times10^{-3}", "* 1e-3 ");
     return result;
 }
 
 TString latexunits(TString variable, char axis) {
     TString result = units(variable, axis);
     result.ReplaceAll("#", "\\").ReplaceAll("{", "{{").ReplaceAll("}", "}}")
           .ReplaceAll("\\mum", "$\\mu$m")
           .ReplaceAll("\\times10^{{-3}}", "$\\times10^{{-3}}$");
     return result;
 }
 
 //this gives the full axis label, including units.  It can handle any combination of relative, resolution, and pull.
 TString axislabel(TString variable, Char_t axis, Bool_t relative, Bool_t resolution, Bool_t pull)
 {
     if (axis == 'X' || axis == 'Y')
     {
         double min, max, bins;
         axislimits(0,0,variable,tolower(axis),relative,pull,min,max,bins);
 
         if (variable.BeginsWith("nHits"))
             return "fraction of tracks";
         if (variable == "runNumber")
             return "number of tracks";
 
         stringstream s;
         s << "fraction of tracks / " << (max-min)/bins;
         if (!pull && !relative)
         {
             TString varunits = units(variable, tolower(axis));
             if (varunits != "")
                 s << " " << varunits;
         }
         TString result = s.str();
         result.ReplaceAll(" #times","#times");
         return result;
     }
 
     stringstream s;
     if (resolution && axis == 'y')
         s << "#sigma(";
     if (axis == 'y')
         s << "#Delta";
     s << fancyname(variable);
     if (relative && axis == 'y')
     {
         s << " / ";
         if (!pull)
             s << "(";
         s << fancyname(variable);
     }
     if (axis == 'y')
     {
         if (pull)
         {
             s << " / #delta(#Delta" << fancyname(variable);
             if (relative)
                 s << " / " << fancyname(variable);
             s << ")";
         }
         else
         {
             if (!relative)
                 s << " / ";
             s << "#sqrt{2}";
             if (relative)
                 s << ")";
         }
     }
     if (resolution && axis == 'y')
         s << ")";
     if (((!relative && !pull) || axis == 'x') && units(variable,axis) != "")
         s << " (" << units(variable,axis) << ")";
     TString result = s.str();
     result.ReplaceAll("#Deltaq/p_{T}","#Delta(q/p_{T})");
     return result;
 }
 
 TString latexlabel(TString variable, Char_t axis, Bool_t relative, Bool_t resolution, Bool_t pull) {
     TString result = axislabel(variable, axis, relative, resolution, pull);
     result.ReplaceAll(" ("+units(variable, axis)+")", "");
     result.ReplaceAll("#", "\\").ReplaceAll("\\Delta", "\\Delta ");
     return result;
 }
 
 void setAxisLabels(TH1 *p, PlotType type,TString xvar,TString yvar,Bool_t relative,Bool_t pull)
 {
     if (type == Histogram)
         p->SetXTitle(axislabel(yvar,'y',relative,false,pull));
     if (type == ScatterPlot || type == Profile || type == Resolution || type == OrgHistogram)
         p->SetXTitle(axislabel(xvar,'x'));
 
     if (type == Histogram)
         p->SetYTitle(axislabel(yvar,'Y',relative,false,pull));
     if (type == OrgHistogram)
         p->SetYTitle(axislabel(xvar,'X',relative,false,pull));
     if (type == ScatterPlot || type == Profile)
         p->SetYTitle(axislabel(yvar,'y',relative,false,pull));
     if (type == Resolution)
         p->SetYTitle(axislabel(yvar,'y',relative,true,pull));
 }
 
 void setAxisLabels(TMultiGraph *p, PlotType type,TString xvar,TString yvar,Bool_t relative,Bool_t pull)
 {
     if (type == Histogram)
         p->GetXaxis()->SetTitle(axislabel(yvar,'y',relative,false,pull));
     if (type == ScatterPlot || type == Profile || type == Resolution || type == OrgHistogram)
         p->GetXaxis()->SetTitle(axislabel(xvar,'x'));
 
     if (type == Histogram)
         p->GetYaxis()->SetTitle(axislabel(yvar,'Y',relative,false,pull));
     if (type == OrgHistogram)
         p->GetYaxis()->SetTitle(axislabel(xvar,'X',relative,false,pull));
     if (type == ScatterPlot || type == Profile)
         p->GetYaxis()->SetTitle(axislabel(yvar,'y',relative,false,pull));
     if (type == Resolution)
         p->GetYaxis()->SetTitle(axislabel(yvar,'y',relative,true,pull));
 }
 
 
 TString nPart(Int_t part,TString string,TString delimit,Bool_t removerest)
 {
     if (part <= 0) return "";
     for (int i = 1; i < part; i++)    //part-1 times
     {
         if (string.Index(delimit) < 0) return "";
         string.Replace(0,string.Index(delimit)+1,"",0);
     }
     if (string.Index(delimit) >= 0 && removerest)
         string.Remove(string.Index(delimit));
     return string;
 }
 
 //==============
 //4. Axis Limits
 //==============
 
 
 Double_t findStatistic(Statistic what,Int_t nFiles,TString *files,TString var,Char_t axis,Bool_t relative,Bool_t pull)
 {
     Double_t x = 0,              //if axis == 'x', var_org goes in x; if axis == 'y', Delta_var goes in x
              rel = 1,            //if relative, var_org goes in rel.  x is divided by rel, so you get Delta_var/var_org
              sigma1 = 1,         //if pull, the error for split track 1 goes in sigma1 and the error for split track 2 goes in sigma2.
              sigma2 = 1,         //x is divided by sqrt(sigma1^2+sigma2^2).  If !pull && axis == 'y', this divides by sqrt(2)
              sigmaorg = 0;       // because we want the error in one track.  sigmaorg is used when relative && pull
     Int_t xint = 0, xint2 = 0;   //xint is used for run number and nHits.  xint2 is used for nHits because each event has 2 values.
 
     Int_t runNumber = 0;         //this is used to make sure the run number is between minrun and maxrun
 
     if (axis == 'x')
     {
         sigma1 = 1/sqrt(2);      //if axis == 'x' don't divide by sqrt(2)
         sigma2 = 1/sqrt(2);
     }
 
     Double_t totallength = 0;
     vector<double> xvect;
     Double_t result = 0;
     if (what == Minimum) result = 1e100;
     if (what == Maximum) result = -1e100;
 
     stringstream sx,srel,ssigma1,ssigma2,ssigmaorg;
 
     if (axis == 'y')
         sx << "Delta_";
     sx << var;
     if (axis == 'x' && var != "runNumber" && !var.BeginsWith("nHits"))
         sx << "_org";
     if (axis == 'x' && var.BeginsWith("nHits"))
         sx << "1_spl";
     TString variable = sx.str(),
             variable2 = variable;
     variable2.ReplaceAll("1_spl","2_spl");
 
     TString relvariable = "1";
     if (relative)
     {
         srel << var << "_org";
         relvariable = srel.str();
     }
 
     if (pull)
     {
         ssigma1 << var << "1Err_spl";
         ssigma2 << var << "2Err_spl";
     }
     TString sigma1variable = ssigma1.str();
     TString sigma2variable = ssigma2.str();
 
     if (pull && relative)
         ssigmaorg << var << "Err_org";
     TString sigmaorgvariable = ssigmaorg.str();
 
     if (!relative && !pull && (variable == "Delta_dxy" || variable == "Delta_dz"))
         rel = 1e-4;                                           //it's in cm but we want um
     if (!relative && !pull && (variable == "Delta_phi" || variable == "Delta_theta" || variable == "Delta_qoverpt"))
         rel = 1e-3;                                           //make the axis labels manageable
 
     for (Int_t j = 0; j < nFiles; j++)
     {
         if (((var == "runNumber" && what != Maximum) ? findMax(files[j],"runNumber",'x') < 2 : false) || files[j] == "")  //if it's MC data (run 1), the run number is meaningless
             continue;
         TFile *f = TFile::Open(files[j]);
         TTree *tree = (TTree*)f->Get("cosmicValidation/splitterTree");
         if (tree == 0)
             tree = (TTree*)f->Get("splitterTree");
         Int_t length = tree->GetEntries();
 
         tree->SetBranchAddress("runNumber",&runNumber);
         if (var == "runNumber")
             tree->SetBranchAddress(variable,&xint);
         else if (var.BeginsWith("nHits"))
         {
             tree->SetBranchAddress(variable,&xint);
             tree->SetBranchAddress(variable2,&xint2);
         }
         else
             tree->SetBranchAddress(variable,&x);
 
         if (relative)
             tree->SetBranchAddress(relvariable,&rel);
         if (pull)
         {
             tree->SetBranchAddress(sigma1variable,&sigma1);
             tree->SetBranchAddress(sigma2variable,&sigma2);
         }
         if (relative && pull)
             tree->SetBranchAddress(sigmaorgvariable,&sigmaorg);
 
         for (Int_t i = 0; i<length; i++)
         {
             tree->GetEntry(i);
             if (var == "runNumber" || var.BeginsWith("nHits"))
                 x = xint;
             if (var == "runNumber")
                 runNumber = x;
             if (var == "phi" && x >= pi)
                 x -= 2*pi;
             if (var == "phi" && x <= -pi)
                 x += 2*pi;
             if ((runNumber < minrun && runNumber > 1) || (runNumber > maxrun && maxrun > 0)) continue;
 
             totallength++;
 
             Double_t error;
             if (relative && pull)
                 error = sqrt((sigma1/rel)*(sigma1/rel) + (sigma2/rel)*(sigma2/rel) + (sigmaorg*x/(rel*rel))*(sigmaorg*x/(rel*rel)));
             else
                 error = sqrt(sigma1 * sigma1 + sigma2 * sigma2);   // = 1 if axis == 'x' && !pull
                                                                    // = sqrt(2) if axis == 'y' && !pull, so that you get the error in 1 track
                                                                    //       when you divide by it
             x /= (rel * error);
             if (!std::isfinite(x))  //e.g. in data with no pixels, the error occasionally comes out to be NaN
                 continue;           //Filling a histogram with NaN is irrelevant, but here it would cause the whole result to be NaN
 
             if (what == Minimum && x < result)
                 result = x;
             if (what == Maximum && x > result)
                 result = x;
             xvect.push_back(x);
             if (var.BeginsWith("nHits"))
             {
                 x = xint2;
                 if (what == Minimum && x < result)
                     result = x;
                 if (what == Maximum && x > result)
                     result = x;
                 xvect.push_back(x);
             }
         }
         delete f;         //automatically closes the file
     }
 
     if (what == Minimum || what == Maximum)
         return result;
 
     sort(xvect.begin(), xvect.end());
 
     for (unsigned int i = (unsigned int)(xvect.size()*(1-outliercut)/2); i <= (unsigned int)(xvect.size()*(1+outliercut)/2 + .999); i++, totallength++)
         result += xvect[i];
 
     result /= totallength;
 
     if (what == RMS)
     {
         double average = result;
         result = 0;
         for (unsigned int i = (unsigned int)(xvect.size()*(1-outliercut)/2); i <= (unsigned int)(xvect.size()*(1+outliercut)/2 + .999); i++)
             result += (x - average) * (x - average);
         result = sqrt(result / (totallength - 1));
     }
     return result;
 }
 
 Double_t findAverage(Int_t nFiles,TString *files,TString var,Char_t axis,Bool_t relative,Bool_t pull)
 {
     return findStatistic(Average,nFiles,files,var,axis,relative,pull);
 }
 
 Double_t findMin(Int_t nFiles,TString *files,TString var,Char_t axis,Bool_t relative,Bool_t pull)
 {
     return findStatistic(Minimum,nFiles,files,var,axis,relative,pull);
 }
 
 Double_t findMax(Int_t nFiles,TString *files,TString var,Char_t axis,Bool_t relative,Bool_t pull)
 {
     return findStatistic(Maximum,nFiles,files,var,axis,relative,pull);
 }
 
 Double_t findRMS(Int_t nFiles,TString *files,TString var,Char_t axis,Bool_t relative,Bool_t pull)
 {
     return findStatistic(RMS,nFiles,files,var,axis,relative,pull);
 }
 
 
 //These functions are for 1 file
 
 Double_t findStatistic(Statistic what,TString file,TString var,Char_t axis,Bool_t relative,Bool_t pull)
 {
     return findStatistic(what,1,&file,var,axis,relative,pull);
 }
 
 Double_t findAverage(TString file,TString var,Char_t axis,Bool_t relative,Bool_t pull)
 {
     return findStatistic(Average,file,var,axis,relative,pull);
 }
 
 Double_t findMin(TString file,TString var,Char_t axis,Bool_t relative,Bool_t pull)
 {
     return findStatistic(Minimum,file,var,axis,relative,pull);
 }
 
 Double_t findMax(TString file,TString var,Char_t axis,Bool_t relative,Bool_t pull)
 {
     return findStatistic(Maximum,file,var,axis,relative,pull);
 }
 
 Double_t findRMS(TString file,TString var,Char_t axis,Bool_t relative,Bool_t pull)
 {
     return findStatistic(RMS,file,var,axis,relative,pull);
 }
 
 
 
 
 //This puts the axis limits that should be used for trackSplitPlot in min and max.
 //Default axis limits are defined for pt, qoverpt, dxy, dz, theta, eta, and phi.
 //For run number and nHits, the minimum and maximum are used.
 //For any other variable, average +/- 5*rms are used.
 //To use this instead of the default values, just comment out the part that says [else] if (var == "?") {min = ?; max = ?;}
 
 void axislimits(Int_t nFiles,TString *files,TString var,Char_t axis,Bool_t relative,Bool_t pull,Double_t &min,Double_t &max,Double_t &bins)
 {
     bool pixel = subdetector.Contains("PIX");
     if (axis == 'x')
     {
         if (var == "pt")
         {
             min = 5;
             max = 100;
             bins = 38;
         }
         else if (var == "qoverpt")
         {
             min = -.35;
             max = .35;
             bins = 35;
         }
         else if (var == "dxy")
         {
             min = -100;
             max = 100;
             if (pixel)
             {
                 min = -10;
                 max = 10;
             }
             bins = 20;
         }
         else if (var == "dz")
         {
             min = -250;
             max = 250;
             if (pixel)
             {
                 min = -25;
                 max = 25;
             }
             bins = 25;
         }
         else if (var == "theta")
         {
             min = .5;
             max = 2.5;
             bins = 40;
         }
         else if (var == "eta")
         {
             min = -1.2;
             max = 1.2;
             bins = 40;
         }
         else if (var == "phi")
         {
             min = -3;
             max = 0;
             bins = 30;
         }
         else if (var == "runNumber" || var.BeginsWith("nHits"))
         {
             min = findMin(nFiles,files,var,'x') - .5;
             max = findMax(nFiles,files,var,'x') + .5;
             bins = max-min;
         }
         else
         {
             cout << "No x axis limits for " << var << ".  Using average +/- 5*rms" << endl;
             Double_t average = findAverage(nFiles,files,var,'x');
             Double_t rms = findRMS (nFiles,files,var,'x');
             max = TMath::Min(average + 5 * rms,findMax(nFiles,files,var,'x'));
             min = TMath::Max(average - 5 * rms,findMin(nFiles,files,var,'x'));
             bins = 50;
         }
     }
     if (axis == 'y')
     {
         if (pull)
         {
             min = -5;
             max = 5;
             bins = 40;
         }
         else if (var == "pt" && relative)
         {
             min = -.06;
             max = .06;
             bins = 30;
         }
         else if (var == "pt" && !relative)
         {
             min = -.8;
             max = .8;
             bins = 40;
         }
         else if (var == "qoverpt")
         {
             min = -2.5;
             max = 2.5;
             bins = 50;
         }
         else if (var == "dxy")
         {
             min = -1250;
             max = 1250;
             if (pixel)
             {
                 min = -125;
                 max = 125;
             }
             bins = 50;
         }
         else if (var == "dz")
         {
             min = -2000;
             max = 2000;
             if (pixel)
             {
                 min = -200;
                 max = 200;
             }
             bins = 40;
         }
         else if (var == "theta")
         {
             min = -10;
             max = 10;
             if (pixel)
             {
                 min = -5;
                 max = 5;
             }
             bins = 50;
         }
         else if (var == "eta")
         {
             min = -.007;
             max = .007;
             if (pixel)
             {
                 min = -.003;
                 max = .003;
             }
             bins = 30;
         }
         else if (var == "phi")
         {
             min = -2;
             max = 2;
             bins = 40;
         }
         else
         {
             cout << "No y axis limits for " << var << ".  Using average +/- 5 * rms." << endl;
             Double_t average = 0 /*findAverage(nFiles,files,var,'y',relative,pull)*/;
             Double_t rms = findRMS (nFiles,files,var,'y',relative,pull);
             min = TMath::Max(TMath::Max(-TMath::Abs(average) - 5*rms,
                              findMin(nFiles,files,var,'y',relative,pull)),
                              -findMax(nFiles,files,var,'y',relative,pull));
             max = -min;
             bins = 50;
         }
     }
 }
 
 //===============
 //5. Place Legend
 //===============
 
 Double_t placeLegend(TLegend *l, Double_t width, Double_t height, Double_t x1min, Double_t y1min, Double_t x2max, Double_t y2max)
 {
     for (int i = legendGrid; i >= 0; i--)
     {
         for (int j = legendGrid; j >= 0; j--)
         {
             Double_t x1 = x1min * (1-(double)i/legendGrid) + (x2max - width)  * (double)i/legendGrid - margin*width;
             Double_t y1 = y1min * (1-(double)j/legendGrid) + (y2max - height) * (double)j/legendGrid - margin*height;
             Double_t x2 = x1 + (1+2*margin) * width;
             Double_t y2 = y1 + (1+2*margin) * height;
             if (fitsHere(l,x1,y1,x2,y2))
             {
                 x1 += margin*width;
                 y1 += margin*height;
                 x2 -= margin*width;
                 y2 -= margin*height;
                 l->SetX1(x1);
                 l->SetY1(y1);
                 l->SetX2(x2);
                 l->SetY2(y2);
                 return y2max;
             }
         }
     }
     Double_t newy2max = y2max + increaseby * (y2max-y1min);
     Double_t newheight = height * (newy2max - y1min) / (y2max - y1min);
     return placeLegend(l,width,newheight,x1min,y1min,x2max,newy2max);
 }
 
 Bool_t fitsHere(TLegend *l,Double_t x1, Double_t y1, Double_t x2, Double_t y2)
 {
     Bool_t fits = true;
     TList *list = l->GetListOfPrimitives();
     for (Int_t k = 0; list->At(k) != 0 && fits; k++)
     {
         TObject *obj = ((TLegendEntry*)(list->At(k)))->GetObject();
         if (obj == 0) continue;
         TClass *cl = obj->IsA();
 
         //Histogram, drawn as a histogram
         if (cl->InheritsFrom("TH1") && !cl->InheritsFrom("TH2") && !cl->InheritsFrom("TH3")
          && cl != TProfile::Class() && ((TH1*)obj)->GetMarkerColor() == kWhite)
         {
             Int_t where = 0;
             TH1 *h = (TH1*)obj;
             for (Int_t i = 1; i <= h->GetNbinsX() && fits; i++)
             {
                 if (h->GetBinLowEdge(i) + h->GetBinWidth(i) < x1) continue;   //to the left of the legend
                 if (h->GetBinLowEdge(i)                     > x2) continue;   //to the right of the legend
                 if (h->GetBinContent(i) > y1 && h->GetBinContent(i) < y2) fits = false;   //inside the legend
                 if (h->GetBinContent(i) < y1)
                 {
                     if (where == 0) where = -1;             //below the legend
                     if (where == 1) fits = false;           //a previous bin was above it so there's a vertical line through it
                 }
                 if (h->GetBinContent(i) > y2)
                 {
                     if (where == 0) where = 1;              //above the legend
                     if (where == -1) fits = false;          //a previous bin was below it so there's a vertical line through it
                 }
             }
             continue;
         }
         //Histogram, drawn with Draw("P")
         else if (cl->InheritsFrom("TH1") && !cl->InheritsFrom("TH2") && !cl->InheritsFrom("TH3")
               && cl != TProfile::Class())
         //Probably TProfile would be the same but I haven't tested it
         {
             TH1 *h = (TH1*)obj;
             for (Int_t i = 1; i <= h->GetNbinsX() && fits; i++)
             {
                 if (h->GetBinLowEdge(i) + h->GetBinWidth(i)/2 < x1) continue;
                 if (h->GetBinLowEdge(i)                       > x2) continue;
                 if (h->GetBinContent(i) > y1 && h->GetBinContent(i) < y2) fits = false;
                 if (h->GetBinContent(i) + h->GetBinError(i) > y2 && h->GetBinContent(i) - h->GetBinError(i) < y2) fits = false;
                 if (h->GetBinContent(i) + h->GetBinError(i) > y1 && h->GetBinContent(i) - h->GetBinError(i) < y1) fits = false;
             }
         }
         else if (cl->InheritsFrom("TF1") && !cl->InheritsFrom("TF2"))
         {
             TF1 *f = (TF1*)obj;
             Double_t max = f->GetMaximum(x1,x2);
             Double_t min = f->GetMinimum(x1,x2);
             if (min < y2 && max > y1) fits = false;
         }
         // else if (cl->InheritsFrom(...... add more objects here
         else
         {
             cout << "Don't know how to place the legend around objects of type " << obj->ClassName() << "." << endl
                  << "Add this class into fitsHere() if you want it to work properly." << endl
                  << "The legend will still be placed around any other objects." << endl;
         }
     }
     return fits;
 }