Alignment/OfflineValidation/macros/trackSplitPlot.C - master - githubmirror/cmssw

Alignment/OfflineValidation/macros/trackSplitPlot.C
2 647 строк94 KB
Shahzad Malik Muzaffar
[ALCA-DB] [LLVM21] Apply code-checks and formats
10 фев 2026, 00:26
10 фев 2026, 00:26bb522c8
/***********************************
Table Of Contents
0. Track Split Plot
1. Misalignment Dependence
2. Make Plots
3. Axis Label
4. Axis Limits
5. Place Legend
***********************************/

using namespace std;
#include "trackSplitPlot.h"
#include "Alignment/OfflineValidation/interface/TkAlStyle.h"

//===================
//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 nullptr;

  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);
  //a file is not "used" if it's MC data and the x variable is run number, or if the filename is blank
  std::vector<bool> used(n);

  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 it's MC data (run 1), the run number is meaningless
    if ((xvar == "runNumber" && findMax(files[i], "runNumber", 'x') < 2) || files[i] == "") {
      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 == nullptr)
      tree = (TTree *)f->Get("splitterTree");

    lengths[i] = tree->GetEntries();

    Double_t x = 0, y = 0, rel = 1, sigma1 = 1;
    Double_t sigma2 = 1;  //if !pull, we want to divide by sqrt(2) because we want the error from 1 track
    Double_t 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 = nullptr;
  for (int i = 0; i < n; i++) {
    if (used[i]) {
      firstp = p[i];
      break;
    }
  }
  if (firstp == nullptr) {
    stufftodelete->Clear();
    return nullptr;
  }

  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++) {
        //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.
        p[i]->Scale(1.0 / lengths[i]);
      }
    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 *)nullptr, meansrmss[i], "");
    }
  }
  if (legend->GetListOfPrimitives()->At(0) == nullptr) {
    stufftodelete->Clear();
    deleteCanvas(c1);
    return nullptr;
  }

  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 == nullptr)
    return;
  if (!canvas->InheritsFrom("TCanvas")) {
    delete canvas;
    return;
  }
  TCanvas *c1 = (TCanvas *)canvas;
  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 == nullptr)
    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] != nullptr);
    if (used[i])
      p[i]->SetDirectory(nullptr);
    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 == nullptr)
      return;

    Bool_t phasesmatter = false;
    if (misalignment == "elliptical" || misalignment == "sagitta" || misalignment == "skew") {
      if (phases == nullptr) {
        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 *)nullptr, 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 *)nullptr, (Double_t *)nullptr, 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 == nullptr || misalignment == "" || values == nullptr)
      return false;
    misalignmentDependence(c1old,
                           nFiles,
                           names,
                           misalignment,
                           values,
                           phases,
                           xvar,
                           yvar,
                           (TF1 *)nullptr,
                           0,
                           "",
                           "",
                           relative,
                           resolution,
                           pull,
                           saveas);
    return true;
  }
  TF1 *f = nullptr;
  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 = nullptr;
  Int_t *parameters = nullptr;

  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 *)nullptr,
                                0,
                                (TString *)nullptr,
                                misalignment,
                                (Double_t *)nullptr,
                                (Double_t *)nullptr,
                                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 = nullptr;
    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 != nullptr)
        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 *)nullptr, (Double_t *)nullptr, 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, ',');
  unsigned 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 (unsigned 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 *)nullptr, (Double_t *)nullptr, 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 *)nullptr, (Double_t *)nullptr, 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, ',');
  unsigned 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 (unsigned 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 *)nullptr, (Double_t *)nullptr, 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 *)nullptr, (Double_t *)nullptr, directory);
}

void makePlots(TString file, TString misalignment, Double_t *values, Double_t *phases, TString directory) {
  setupcolors();
  file.Remove(TString::kTrailing, ',');
  unsigned 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 (unsigned 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 *)nullptr, (Double_t *)nullptr, 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, nullptr, 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 == nullptr)
      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) != nullptr && fits; k++) {
    TObject *obj = ((TLegendEntry *)(list->At(k)))->GetObject();
    if (obj == nullptr)
      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;
}