TkLasBeamFitter.cc

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// framework include files
#include "FWCore/Framework/interface/Frameworkfwd.h"
#include "FWCore/Framework/interface/one/EDProducer.h"
#include "FWCore/Framework/interface/ESHandle.h"
#include "FWCore/Framework/interface/Event.h"
#include "FWCore/Framework/interface/EventSetup.h"
#include "FWCore/Framework/interface/MakerMacros.h"
#include "FWCore/Framework/interface/Run.h"
#include "FWCore/ParameterSet/interface/ParameterSet.h"
#include "FWCore/Utilities/interface/InputTag.h"
#include "FWCore/ServiceRegistry/interface/Service.h"
#include "CommonTools/UtilAlgos/interface/TFileService.h"
 
#include <Geometry/CommonDetUnit/interface/GeomDet.h>
#include <Geometry/TrackerGeometryBuilder/interface/TrackerGeometry.h>
#include <Geometry/Records/interface/TrackerDigiGeometryRecord.h>
#include <MagneticField/Engine/interface/MagneticField.h>
#include "MagneticField/Records/interface/IdealMagneticFieldRecord.h"
 
// data formats
// for edm::InRun
#include "DataFormats/Provenance/interface/BranchType.h"
 
// laser data formats
#include "DataFormats/Alignment/interface/TkLasBeam.h"
#include "DataFormats/Alignment/interface/TkFittedLasBeam.h"
 
// further includes
#include "TrackingTools/TrajectoryState/interface/TrajectoryStateOnSurface.h"
#include "Alignment/LaserAlignment/interface/TsosVectorCollection.h"
#include "TrackingTools/TrajectoryState/interface/FreeTrajectoryState.h"
#include "DataFormats/GeometryVector/interface/GlobalPoint.h"
 
#include <iostream>
#include "TMinuit.h"
#include "TGraphErrors.h"
#include "TF1.h"
#include "TH1.h"
#include "TH2.h"
 
using namespace edm;
using namespace std;
 
//
// class declaration
//
 
class TkLasBeamFitter : public edm::one::EDProducer<edm::EndRunProducer> {
public:
  explicit TkLasBeamFitter(const edm::ParameterSet &config);
  ~TkLasBeamFitter() override;
 
  //virtual void beginJob(const edm::EventSetup& /*access deprecated*/) {}
  void produce(edm::Event &event, const edm::EventSetup &setup) override;
  // virtual void beginRun(edm::Run &run, const edm::EventSetup &setup);
  void endRunProduce(edm::Run &run, const edm::EventSetup &setup) override;
  //virtual void endJob() {}
 
private:
  void getLasBeams(TkFittedLasBeam &beam, vector<TrajectoryStateOnSurface> &tsosLas);
  void getLasHits(TkFittedLasBeam &beam,
                  const SiStripLaserRecHit2D &hit,
                  vector<const GeomDetUnit *> &gd,
                  vector<GlobalPoint> &globHit,
                  unsigned int &hitsAtTecPlus);
  //   void fillVectors(TkFittedLasBeam &beam);
 
  // need static functions to be used in fitter(..);
  // all parameters used therein have to be static, as well (see below)
  static double tecPlusFunction(double *x, double *par);
  static double tecMinusFunction(double *x, double *par);
  static double atFunction(double *x, double *par);
 
  void fitter(TkFittedLasBeam &beam,
              AlgebraicSymMatrix &covMatrix,
              unsigned int &hitsAtTecPlus,
              unsigned int &nFitParams,
              std::vector<double> &hitPhi,
              std::vector<double> &hitPhiError,
              std::vector<double> &hitZprimeError,
              double &zMin,
              double &zMax,
              double &bsAngleParam,
              double &offset,
              double &offsetError,
              double &slope,
              double &slopeError,
              double &phiAtMinusParam,
              double &phiAtPlusParam,
              double &atThetaSplitParam);
 
  void trackPhi(TkFittedLasBeam &beam,
                unsigned int &hit,
                double &trackPhi,
                double &trackPhiRef,
                double &offset,
                double &slope,
                double &bsAngleParam,
                double &phiAtMinusParam,
                double &phiAtPlusParam,
                double &atThetaSplitParam,
                std::vector<GlobalPoint> &globHit);
 
  void globalTrackPoint(TkFittedLasBeam &beam,
                        unsigned int &hit,
                        unsigned int &hitsAtTecPlus,
                        double &trackPhi,
                        double &trackPhiRef,
                        std::vector<GlobalPoint> &globHit,
                        std::vector<GlobalPoint> &globPtrack,
                        GlobalPoint &globPref,
                        std::vector<double> &hitPhiError);
 
  void buildTrajectory(TkFittedLasBeam &beam,
                       unsigned int &hit,
                       vector<const GeomDetUnit *> &gd,
                       std::vector<GlobalPoint> &globPtrack,
                       vector<TrajectoryStateOnSurface> &tsosLas,
                       GlobalPoint &globPref);
 
  bool fitBeam(TkFittedLasBeam &beam,
               AlgebraicSymMatrix &covMatrix,
               unsigned int &hitsAtTecPlus,
               unsigned int &nFitParams,
               double &offset,
               double &slope,
               vector<GlobalPoint> &globPtrack,
               double &bsAngleParam,
               double &chi2);
 
  // ----------member data ---------------------------
 
  // ES token
  const edm::ESGetToken<MagneticField, IdealMagneticFieldRecord> magFieldToken_;
  const edm::ESGetToken<TrackerGeometry, TrackerDigiGeometryRecord> geomToken_;
 
  // handles
  edm::Handle<TkLasBeamCollection> laserBeams;
  edm::ESHandle<MagneticField> fieldHandle;
  edm::ESHandle<TrackerGeometry> geometry;
 
  const edm::InputTag src_;
  bool fitBeamSplitters_;
  unsigned int nAtParameters_;
 
  edm::Service<TFileService> fs;
 
  // static parameters used in static parametrization functions
  static vector<double> gHitZprime;
  static vector<double> gBarrelModuleRadius;
  static vector<double> gBarrelModuleOffset;
  static float gTIBparam;
  static float gTOBparam;
  static double gBeamR;
  static double gBeamZ0;
  static double gBeamSplitterZprime;
  static unsigned int gHitsAtTecMinus;
  static double gBSparam;
  static bool gFitBeamSplitters;
  static bool gIsInnerBarrel;
 
  // histograms
  TH1F *h_bsAngle, *h_hitX, *h_hitXTecPlus, *h_hitXTecMinus, *h_hitXAt, *h_chi2, *h_chi2ndof, *h_pull, *h_res,
      *h_resTecPlus, *h_resTecMinus, *h_resAt;
  TH2F *h_bsAngleVsBeam, *h_hitXvsZTecPlus, *h_hitXvsZTecMinus, *h_hitXvsZAt, *h_resVsZTecPlus, *h_resVsZTecMinus,
      *h_resVsZAt, *h_resVsHitTecPlus, *h_resVsHitTecMinus, *h_resVsHitAt;
};
 
//
// constants, enums and typedefs
//
 
//
// static data member definitions
//
 
// static parameters used in parametrization functions
vector<double> TkLasBeamFitter::gHitZprime;
vector<double> TkLasBeamFitter::gBarrelModuleRadius;
vector<double> TkLasBeamFitter::gBarrelModuleOffset;
float TkLasBeamFitter::gTIBparam = 0.097614;  // = abs(r_offset/r_module) (nominal!)
float TkLasBeamFitter::gTOBparam = 0.034949;  // = abs(r_offset/r_module) (nominal!)
double TkLasBeamFitter::gBeamR = 0.0;
double TkLasBeamFitter::gBeamZ0 = 0.0;
double TkLasBeamFitter::gBeamSplitterZprime = 0.0;
unsigned int TkLasBeamFitter::gHitsAtTecMinus = 0;
double TkLasBeamFitter::gBSparam = 0.0;
bool TkLasBeamFitter::gFitBeamSplitters = false;
bool TkLasBeamFitter::gIsInnerBarrel = false;
 
//
// constructors and destructor
//
TkLasBeamFitter::TkLasBeamFitter(const edm::ParameterSet &iConfig)
    : magFieldToken_(esConsumes<edm::Transition::EndRun>()),
      geomToken_(esConsumes<edm::Transition::EndRun>()),
      src_(iConfig.getParameter<edm::InputTag>("src")),
      fitBeamSplitters_(iConfig.getParameter<bool>("fitBeamSplitters")),
      nAtParameters_(iConfig.getParameter<unsigned int>("numberOfFittedAtParameters")),
      h_bsAngle(nullptr),
      h_hitX(nullptr),
      h_hitXTecPlus(nullptr),
      h_hitXTecMinus(nullptr),
      h_hitXAt(nullptr),
      h_chi2(nullptr),
      h_chi2ndof(nullptr),
      h_pull(nullptr),
      h_res(nullptr),
      h_resTecPlus(nullptr),
      h_resTecMinus(nullptr),
      h_resAt(nullptr),
      h_bsAngleVsBeam(nullptr),
      h_hitXvsZTecPlus(nullptr),
      h_hitXvsZTecMinus(nullptr),
      h_hitXvsZAt(nullptr),
      h_resVsZTecPlus(nullptr),
      h_resVsZTecMinus(nullptr),
      h_resVsZAt(nullptr),
      h_resVsHitTecPlus(nullptr),
      h_resVsHitTecMinus(nullptr),
      h_resVsHitAt(nullptr) {
  // declare the products to produce
  this->produces<TkFittedLasBeamCollection, edm::Transition::EndRun>();
  this->produces<TsosVectorCollection, edm::Transition::EndRun>();
 
  //now do what ever other initialization is needed
}
 
//---------------------------------------------------------------------------------------
TkLasBeamFitter::~TkLasBeamFitter() {
  // do anything here that needs to be done at desctruction time
  // (e.g. close files, deallocate resources etc.)
}
 
//
// member functions
//
 
//---------------------------------------------------------------------------------------
// ------------ method called to produce the data  ------------
void TkLasBeamFitter::produce(edm::Event &iEvent, const edm::EventSetup &setup) {
  // Nothing per event!
}
 
//---------------------------------------------------------------------------------------
// ------------ method called at end of each run  ---------------------------------------
void TkLasBeamFitter::endRunProduce(edm::Run &run, const edm::EventSetup &setup) {
  // }
  // // FIXME!
  // // Indeed, that should be in endRun(..) - as soon as AlignmentProducer can call
  // // the algorithm's endRun correctly!
  //
  //
  // void TkLasBeamFitter::beginRun(edm::Run &run, const edm::EventSetup &setup)
  // {
 
  // book histograms
  h_hitX = fs->make<TH1F>("hitX", "local x of LAS hits;local x [cm];N", 100, -0.5, 0.5);
  h_hitXTecPlus = fs->make<TH1F>("hitXTecPlus", "local x of LAS hits in TECplus;local x [cm];N", 100, -0.5, 0.5);
  h_hitXTecMinus = fs->make<TH1F>("hitXTecMinus", "local x of LAS hits in TECminus;local x [cm];N", 100, -0.5, 0.5);
  h_hitXAt = fs->make<TH1F>("hitXAt", "local x of LAS hits in ATs;local x [cm];N", 100, -2.5, 2.5);
  h_hitXvsZTecPlus =
      fs->make<TH2F>("hitXvsZTecPlus", "local x vs z in TECplus;z [cm];local x [cm]", 80, 120, 280, 100, -0.5, 0.5);
  h_hitXvsZTecMinus =
      fs->make<TH2F>("hitXvsZTecMinus", "local x vs z in TECMinus;z [cm];local x [cm]", 80, -280, -120, 100, -0.5, 0.5);
  h_hitXvsZAt = fs->make<TH2F>("hitXvsZAt", "local x vs z in ATs;z [cm];local x [cm]", 200, -200, 200, 100, -0.5, 0.5);
  h_chi2 = fs->make<TH1F>("chi2", "#chi^{2};#chi^{2};N", 100, 0, 2000);
  h_chi2ndof = fs->make<TH1F>("chi2ndof", "#chi^{2} per degree of freedom;#chi^{2}/N_{dof};N", 100, 0, 300);
  h_pull = fs->make<TH1F>("pull", "pulls of #phi residuals;pull;N", 50, -10, 10);
  h_res = fs->make<TH1F>("res", "#phi residuals;#phi_{track} - #phi_{hit} [rad];N", 60, -0.0015, 0.0015);
  h_resTecPlus =
      fs->make<TH1F>("resTecPlus", "#phi residuals in TECplus;#phi_{track} - #phi_{hit} [rad];N", 30, -0.0015, 0.0015);
  h_resTecMinus = fs->make<TH1F>(
      "resTecMinus", "#phi residuals in TECminus;#phi_{track} - #phi_{hit} [rad];N", 60, -0.0015, 0.0015);
  h_resAt = fs->make<TH1F>("resAt", "#phi residuals in ATs;#phi_{track} - #phi_{hit} [rad];N", 30, -0.0015, 0.0015);
  h_resVsZTecPlus = fs->make<TH2F>("resVsZTecPlus",
                                   "phi residuals vs. z in TECplus;z [cm];#phi_{track} - #phi_{hit} [rad]",
                                   80,
                                   120,
                                   280,
                                   100,
                                   -0.0015,
                                   0.0015);
  h_resVsZTecMinus = fs->make<TH2F>("resVsZTecMinus",
                                    "phi residuals vs. z in TECminus;z [cm];#phi_{track} - #phi_{hit} [rad]",
                                    80,
                                    -280,
                                    -120,
                                    100,
                                    -0.0015,
                                    0.0015);
  h_resVsZAt = fs->make<TH2F>(
      "resVsZAt", "#phi residuals vs. z in ATs;N;#phi_{track} - #phi_{hit} [rad]", 200, -200, 200, 100, -0.0015, 0.0015);
  h_resVsHitTecPlus = fs->make<TH2F>("resVsHitTecPlus",
                                     "#phi residuals vs. hits in TECplus;hit no.;#phi_{track} - #phi_{hit} [rad]",
                                     144,
                                     0,
                                     144,
                                     100,
                                     -0.0015,
                                     0.0015);
  h_resVsHitTecMinus = fs->make<TH2F>("resVsHitTecMinus",
                                      "#phi residuals vs. hits in TECminus;hit no.;#phi_{track} - #phi_{hit} [rad]",
                                      144,
                                      0,
                                      144,
                                      100,
                                      -0.0015,
                                      0.0015);
  h_resVsHitAt = fs->make<TH2F>("resVsHitAt",
                                "#phi residuals vs. hits in ATs;hit no.;#phi_{track} - #phi_{hit} [rad]",
                                176,
                                0,
                                176,
                                100,
                                -0.0015,
                                0.0015);
  h_bsAngle = fs->make<TH1F>("bsAngle", "fitted beam splitter angle;BS angle [rad];N", 40, -0.004, 0.004);
  h_bsAngleVsBeam = fs->make<TH2F>(
      "bsAngleVsBeam", "fitted beam splitter angle per beam;Beam no.;BS angle [rad]", 40, 0, 300, 100, -0.004, 0.004);
 
  // Create output collections - they are parallel.
  // (edm::Ref etc. and thus edm::AssociationVector are not supported for edm::Run...)
  auto fittedBeams = std::make_unique<TkFittedLasBeamCollection>();
  // One std::vector<TSOS> for each TkFittedLasBeam:
  auto tsosesVec = std::make_unique<TsosVectorCollection>();
 
  // get TkLasBeams, Tracker geometry, magnetic field
  run.getByLabel("LaserAlignment", "tkLaserBeams", laserBeams);
  geometry = setup.getHandle(geomToken_);
  fieldHandle = setup.getHandle(magFieldToken_);
 
  // hack for fixed BSparams (ugly!)
  //   double bsParams[34] = {-0.000266,-0.000956,-0.001205,-0.000018,-0.000759,0.002554,
  //             0.000465,0.000975,0.001006,0.002027,-0.001263,-0.000763,
  //             -0.001702,0.000906,-0.002120,0.001594,0.000661,-0.000457,
  //             -0.000447,0.000347,-0.002266,-0.000446,0.000659,0.000018,
  //             -0.001630,-0.000324,
  //             // ATs
  //             -999.,-0.001709,-0.002091,-999.,
  //             -0.001640,-999.,-0.002444,-0.002345};
 
  double bsParams[40] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
                         0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
 
  // beam counter
  unsigned int beamNo(0);
  // fit BS? If false, values from bsParams are taken
  gFitBeamSplitters = fitBeamSplitters_;
  if (fitBeamSplitters_)
    cout << "Fitting BS!" << endl;
  else
    cout << "BS fixed, not fitted!" << endl;
 
  // loop over LAS beams
  for (TkLasBeamCollection::const_iterator iBeam = laserBeams->begin(), iEnd = laserBeams->end(); iBeam != iEnd;
       ++iBeam) {
    TkFittedLasBeam beam(*iBeam);
    vector<TrajectoryStateOnSurface> tsosLas;
 
    // set BS param for fit
    gBSparam = bsParams[beamNo];
 
    // call main function; all other functions are called inside getLasBeams(..)
    this->getLasBeams(beam, tsosLas);
 
    // fill output products
    fittedBeams->push_back(beam);
    tsosesVec->push_back(tsosLas);
 
    //     if(!this->fitBeam(fittedBeams->back(), tsosesVec->back())){
    //       edm::LogError("BadFit")
    //   << "Problems fitting TkLasBeam, id " << fittedBeams->back().getBeamId() << ".";
    //       fittedBeams->pop_back(); // remove last entry added just before
    //       tsosesVec->pop_back();   // dito
    //     }
 
    beamNo++;
  }
 
  // finally, put fitted beams and TSOS vectors into run
  run.put(std::move(fittedBeams));
  run.put(std::move(tsosesVec));
}
 
// methods for las data processing
 
// -------------- loop over beams, call functions ----------------------------
void TkLasBeamFitter::getLasBeams(TkFittedLasBeam &beam, vector<TrajectoryStateOnSurface> &tsosLas) {
  cout << "---------------------------------------" << endl;
  cout << "beam id: " << beam.getBeamId()  // << " isTec: " << (beam.isTecInternal() ? "Y" : "N")
       << " isTec+: " << (beam.isTecInternal(1) ? "Y" : "N") << " isTec-: " << (beam.isTecInternal(-1) ? "Y" : "N")
       << " isAt: " << (beam.isAlignmentTube() ? "Y" : "N") << " isR6: " << (beam.isRing6() ? "Y" : "N") << endl;
 
  // reset static variables
  gHitsAtTecMinus = 0;
  gHitZprime.clear();
  gBarrelModuleRadius.clear();
  gBarrelModuleOffset.clear();
 
  // set right beam radius
  gBeamR = beam.isRing6() ? 84.0 : 56.4;
 
  vector<const GeomDetUnit *> gd;
  vector<GlobalPoint> globHit;
  unsigned int hitsAtTecPlus(0);
  double sumZ(0.);
 
  // loop over hits
  for (TkLasBeam::const_iterator iHit = beam.begin(); iHit < beam.end(); ++iHit) {
    // iHit is a SiStripLaserRecHit2D
 
    const SiStripLaserRecHit2D hit(*iHit);
 
    this->getLasHits(beam, hit, gd, globHit, hitsAtTecPlus);
    sumZ += globHit.back().z();
 
    // fill histos
    h_hitX->Fill(hit.localPosition().x());
    // TECplus
    if (beam.isTecInternal(1)) {
      h_hitXTecPlus->Fill(hit.localPosition().x());
      h_hitXvsZTecPlus->Fill(globHit.back().z(), hit.localPosition().x());
    }
    // TECminus
    else if (beam.isTecInternal(-1)) {
      h_hitXTecMinus->Fill(hit.localPosition().x());
      h_hitXvsZTecMinus->Fill(globHit.back().z(), hit.localPosition().x());
    }
    // ATs
    else {
      h_hitXAt->Fill(hit.localPosition().x());
      h_hitXvsZAt->Fill(globHit.back().z(), hit.localPosition().x());
    }
  }
 
  gBeamZ0 = sumZ / globHit.size();
  double zMin(0.), zMax(0.);
  // TECplus
  if (beam.isTecInternal(1)) {
    gBeamSplitterZprime = 205.75 - gBeamZ0;
    zMin = 120.0 - gBeamZ0;
    zMax = 280.0 - gBeamZ0;
  }
  // TECminus
  else if (beam.isTecInternal(-1)) {
    gBeamSplitterZprime = -205.75 - gBeamZ0;
    zMin = -280.0 - gBeamZ0;
    zMax = -120.0 - gBeamZ0;
  }
  // AT
  else {
    gBeamSplitterZprime = 112.3 - gBeamZ0;
    zMin = -200.0 - gBeamZ0;
    zMax = 200.0 - gBeamZ0;
  }
 
  // fill vectors for fitted quantities
  vector<double> hitPhi, hitPhiError, hitZprimeError;
 
  for (unsigned int hit = 0; hit < globHit.size(); ++hit) {
    hitPhi.push_back(static_cast<double>(globHit[hit].phi()));
    // localPositionError[hit] or assume 0.003, 0.006
    hitPhiError.push_back(0.003 / globHit[hit].perp());
    // no errors on z, fill with zeros
    hitZprimeError.push_back(0.0);
    // barrel-specific values
    if (beam.isAlignmentTube() && abs(globHit[hit].z()) < 112.3) {
      gBarrelModuleRadius.push_back(globHit[hit].perp());
      gBarrelModuleOffset.push_back(gBarrelModuleRadius.back() - gBeamR);
      // TIB/TOB flag
      if (gBarrelModuleOffset.back() < 0.0) {
        gIsInnerBarrel = true;
      } else {
        gIsInnerBarrel = false;
      }
      gHitZprime.push_back(globHit[hit].z() - gBeamZ0 - abs(gBarrelModuleOffset.back()));
    }
    // non-barrel z'
    else {
      gHitZprime.push_back(globHit[hit].z() - gBeamZ0);
    }
  }
 
  // number of fit parameters, 3 for TECs (always!); 3, 5, or 6 for ATs
  unsigned int tecParams(3), atParams(0);
  if (nAtParameters_ == 3)
    atParams = 3;
  else if (nAtParameters_ == 5)
    atParams = 5;
  else
    atParams = 6;  // <-- default value, recommended
  unsigned int nFitParams(0);
  if (!fitBeamSplitters_ || (hitsAtTecPlus == 0 && beam.isAlignmentTube())) {
    tecParams = tecParams - 1;
    atParams = atParams - 1;
  }
  if (beam.isTecInternal()) {
    nFitParams = tecParams;
  } else {
    nFitParams = atParams;
  }
 
  // fit parameter definitions
  double offset(0.), offsetError(0.), slope(0.), slopeError(0.), bsAngleParam(0.), phiAtMinusParam(0.),
      phiAtPlusParam(0.), atThetaSplitParam(0.);
  AlgebraicSymMatrix covMatrix;
  if (!fitBeamSplitters_ || (beam.isAlignmentTube() && hitsAtTecPlus == 0)) {
    covMatrix = AlgebraicSymMatrix(nFitParams, 1);
  } else {
    covMatrix = AlgebraicSymMatrix(nFitParams - 1, 1);
  }
 
  this->fitter(beam,
               covMatrix,
               hitsAtTecPlus,
               nFitParams,
               hitPhi,
               hitPhiError,
               hitZprimeError,
               zMin,
               zMax,
               bsAngleParam,
               offset,
               offsetError,
               slope,
               slopeError,
               phiAtMinusParam,
               phiAtPlusParam,
               atThetaSplitParam);
 
  vector<GlobalPoint> globPtrack;
  GlobalPoint globPref;
  double chi2(0.);
 
  for (unsigned int hit = 0; hit < gHitZprime.size(); ++hit) {
    // additional phi value (trackPhiRef) for trajectory calculation
    double trackPhi(0.), trackPhiRef(0.);
 
    this->trackPhi(beam,
                   hit,
                   trackPhi,
                   trackPhiRef,
                   offset,
                   slope,
                   bsAngleParam,
                   phiAtMinusParam,
                   phiAtPlusParam,
                   atThetaSplitParam,
                   globHit);
 
    cout << "track phi = " << trackPhi << ", hit phi = " << hitPhi[hit] << ", zPrime = " << gHitZprime[hit]
         << " r = " << globHit[hit].perp() << endl;
 
    this->globalTrackPoint(beam, hit, hitsAtTecPlus, trackPhi, trackPhiRef, globHit, globPtrack, globPref, hitPhiError);
 
    // calculate residuals = pred - hit (in global phi)
    const double phiResidual = globPtrack[hit].phi() - globHit[hit].phi();
    // pull calculation (FIX!!!)
    const double phiResidualPull = phiResidual / hitPhiError[hit];
    //       sqrt(hitPhiError[hit]*hitPhiError[hit] +
    //     (offsetError*offsetError + globPtrack[hit].z()*globPtrack[hit].z() * slopeError*slopeError));
 
    // calculate chi2
    chi2 += phiResidual * phiResidual / (hitPhiError[hit] * hitPhiError[hit]);
 
    // fill histos
    h_res->Fill(phiResidual);
    // TECplus
    if (beam.isTecInternal(1)) {
      h_pull->Fill(phiResidualPull);
      h_resTecPlus->Fill(phiResidual);
      h_resVsZTecPlus->Fill(globPtrack[hit].z(), phiResidual);
      // Ring 6
      if (beam.isRing6()) {
        h_resVsHitTecPlus->Fill(hit + (beam.getBeamId() - 1) / 10 * 9 + 72, phiResidual);
      }
      // Ring 4
      else {
        h_resVsHitTecPlus->Fill(hit + beam.getBeamId() / 10 * 9, phiResidual);
      }
    }
    // TECminus
    else if (beam.isTecInternal(-1)) {
      h_pull->Fill(phiResidualPull);
      h_resTecMinus->Fill(phiResidual);
      h_resVsZTecMinus->Fill(globPtrack[hit].z(), phiResidual);
      // Ring 6
      if (beam.isRing6()) {
        h_resVsHitTecMinus->Fill(hit + (beam.getBeamId() - 101) / 10 * 9 + 72, phiResidual);
      }
      // Ring 4
      else {
        h_resVsHitTecMinus->Fill(hit + (beam.getBeamId() - 100) / 10 * 9, phiResidual);
      }
    }
    // ATs
    else {
      h_pull->Fill(phiResidualPull);
      h_resAt->Fill(phiResidual);
      h_resVsZAt->Fill(globPtrack[hit].z(), phiResidual);
      h_resVsHitAt->Fill(hit + (beam.getBeamId() - 200) / 10 * 22, phiResidual);
    }
 
    this->buildTrajectory(beam, hit, gd, globPtrack, tsosLas, globPref);
  }
 
  cout << "chi^2 = " << chi2 << ", chi^2/ndof = " << chi2 / (gHitZprime.size() - nFitParams) << endl;
  this->fitBeam(beam, covMatrix, hitsAtTecPlus, nFitParams, offset, slope, globPtrack, bsAngleParam, chi2);
 
  cout << "bsAngleParam = " << bsAngleParam << endl;
 
  // fill histos
  // include slope, offset, covariance plots here
  h_chi2->Fill(chi2);
  h_chi2ndof->Fill(chi2 / (gHitZprime.size() - nFitParams));
  if (bsAngleParam != 0.0) {
    h_bsAngle->Fill(2.0 * atan(0.5 * bsAngleParam));
    h_bsAngleVsBeam->Fill(beam.getBeamId(), 2.0 * atan(0.5 * bsAngleParam));
  }
}
 
// --------- get hits, convert to global coordinates ---------------------------
void TkLasBeamFitter::getLasHits(TkFittedLasBeam &beam,
                                 const SiStripLaserRecHit2D &hit,
                                 vector<const GeomDetUnit *> &gd,
                                 vector<GlobalPoint> &globHit,
                                 unsigned int &hitsAtTecPlus) {
  // get global position of LAS hits
  gd.push_back(geometry->idToDetUnit(hit.getDetId()));
  GlobalPoint globPtemp(gd.back()->toGlobal(hit.localPosition()));
 
  // testing: globPtemp should be right
  globHit.push_back(globPtemp);
 
  if (beam.isAlignmentTube()) {
    if (abs(globPtemp.z()) > 112.3) {
      if (globPtemp.z() < 112.3)
        gHitsAtTecMinus++;
      else
        hitsAtTecPlus++;
    }
  }
}
 
// ------------ parametrization functions for las beam fits ------------
double TkLasBeamFitter::tecPlusFunction(double *x, double *par) {
  double z = x[0];  // 'primed'? -> yes!!!
 
  if (z < gBeamSplitterZprime) {
    return par[0] + par[1] * z;
  } else {
    if (gFitBeamSplitters) {
      // par[2] = 2*tan(BeamSplitterAngle/2.0)
      return par[0] + par[1] * z - par[2] * (z - gBeamSplitterZprime) / gBeamR;
    } else {
      return par[0] + par[1] * z - gBSparam * (z - gBeamSplitterZprime) / gBeamR;
    }
  }
}
 
double TkLasBeamFitter::tecMinusFunction(double *x, double *par) {
  double z = x[0];  // 'primed'? -> yes!!!
 
  if (z > gBeamSplitterZprime) {
    return par[0] + par[1] * z;
  } else {
    if (gFitBeamSplitters) {
      // par[2] = 2*tan(BeamSplitterAngle/2.0)
      return par[0] + par[1] * z + par[2] * (z - gBeamSplitterZprime) / gBeamR;
    } else {
      return par[0] + par[1] * z + gBSparam * (z - gBeamSplitterZprime) / gBeamR;
    }
  }
}
 
double TkLasBeamFitter::atFunction(double *x, double *par) {
  double z = x[0];  // 'primed'? -> yes!!!
  // TECminus
  if (z < -gBeamSplitterZprime - 2.0 * gBeamZ0) {
    return par[0] + par[1] * z;
  }
  // BarrelMinus
  else if (-gBeamSplitterZprime - 2.0 * gBeamZ0 < z && z < -gBeamZ0) {
    // z value includes module offset from main beam axis
    // TOB
    if (!gIsInnerBarrel) {
      return par[0] + par[1] * z + gTOBparam * (par[2] + par[4]);
    }
    // TIB
    else {
      return par[0] + par[1] * z - gTIBparam * (par[2] - par[4]);
    }
  }
  // BarrelPlus
  else if (-gBeamZ0 < z && z < gBeamSplitterZprime) {
    // z value includes module offset from main beam axis
    // TOB
    if (!gIsInnerBarrel) {
      return par[0] + par[1] * z + gTOBparam * (par[3] - par[4]);
    }
    // TIB
    else {
      return par[0] + par[1] * z - gTIBparam * (par[3] + par[4]);
    }
  }
  // TECplus
  else {
    if (gFitBeamSplitters) {
      // par[2] = 2*tan(BeamSplitterAngle/2.0)
      return par[0] + par[1] * z - par[5] * (z - gBeamSplitterZprime) / gBeamR;  // BS par: 5, 4, or 2
    } else {
      return par[0] + par[1] * z - gBSparam * (z - gBeamSplitterZprime) / gBeamR;
    }
  }
}
 
// ------------ perform fit of beams ------------------------------------
void TkLasBeamFitter::fitter(TkFittedLasBeam &beam,
                             AlgebraicSymMatrix &covMatrix,
                             unsigned int &hitsAtTecPlus,
                             unsigned int &nFitParams,
                             vector<double> &hitPhi,
                             vector<double> &hitPhiError,
                             vector<double> &hitZprimeError,
                             double &zMin,
                             double &zMax,
                             double &bsAngleParam,
                             double &offset,
                             double &offsetError,
                             double &slope,
                             double &slopeError,
                             double &phiAtMinusParam,
                             double &phiAtPlusParam,
                             double &atThetaSplitParam) {
  TGraphErrors *lasData =
      new TGraphErrors(gHitZprime.size(), &(gHitZprime[0]), &(hitPhi[0]), &(hitZprimeError[0]), &(hitPhiError[0]));
 
  // do fit (R = entire range)
  if (beam.isTecInternal(1)) {
    TF1 tecPlus("tecPlus", tecPlusFunction, zMin, zMax, nFitParams);
    tecPlus.SetParameter(1, 0);               // slope
    tecPlus.SetParameter(nFitParams - 1, 0);  // BS
    lasData->Fit(&tecPlus, "R");              // "R", "RV" or "RQ"
  } else if (beam.isTecInternal(-1)) {
    TF1 tecMinus("tecMinus", tecMinusFunction, zMin, zMax, nFitParams);
    tecMinus.SetParameter(1, 0);               // slope
    tecMinus.SetParameter(nFitParams - 1, 0);  // BS
    lasData->Fit(&tecMinus, "R");
  } else {
    TF1 at("at", atFunction, zMin, zMax, nFitParams);
    at.SetParameter(1, 0);               // slope
    at.SetParameter(nFitParams - 1, 0);  // BS
    lasData->Fit(&at, "R");
  }
 
  // get values and errors for offset and slope
  gMinuit->GetParameter(0, offset, offsetError);
  gMinuit->GetParameter(1, slope, slopeError);
 
  // additional AT parameters
  // define param errors that are not used later
  double bsAngleParamError(0.), phiAtMinusParamError(0.), phiAtPlusParamError(0.), atThetaSplitParamError(0.);
 
  if (beam.isAlignmentTube()) {
    gMinuit->GetParameter(2, phiAtMinusParam, phiAtMinusParamError);
    gMinuit->GetParameter(3, phiAtPlusParam, phiAtPlusParamError);
    gMinuit->GetParameter(4, atThetaSplitParam, atThetaSplitParamError);
  }
  // get Beam Splitter parameters
  if (fitBeamSplitters_) {
    if (beam.isAlignmentTube() && hitsAtTecPlus == 0) {
      bsAngleParam = gBSparam;
    } else {
      gMinuit->GetParameter(nFitParams - 1, bsAngleParam, bsAngleParamError);
    }
  } else {
    bsAngleParam = gBSparam;
  }
 
  // fill covariance matrix
  vector<double> vec(covMatrix.num_col() * covMatrix.num_col());
  gMinuit->mnemat(&vec[0], covMatrix.num_col());
  for (int col = 0; col < covMatrix.num_col(); col++) {
    for (int row = 0; row < covMatrix.num_col(); row++) {
      covMatrix[col][row] = vec[row + covMatrix.num_col() * col];
    }
  }
  // compute correlation between parameters
  //   double corr01 = covMatrix[1][0]/(offsetError*slopeError);
 
  delete lasData;
}
 
// -------------- calculate track phi value ----------------------------------
void TkLasBeamFitter::trackPhi(TkFittedLasBeam &beam,
                               unsigned int &hit,
                               double &trackPhi,
                               double &trackPhiRef,
                               double &offset,
                               double &slope,
                               double &bsAngleParam,
                               double &phiAtMinusParam,
                               double &phiAtPlusParam,
                               double &atThetaSplitParam,
                               vector<GlobalPoint> &globHit) {
  // TECplus
  if (beam.isTecInternal(1)) {
    if (gHitZprime[hit] < gBeamSplitterZprime) {
      trackPhi = offset + slope * gHitZprime[hit];
      trackPhiRef = offset + slope * (gHitZprime[hit] + 1.0);
    } else {
      trackPhi = offset + slope * gHitZprime[hit] - bsAngleParam * (gHitZprime[hit] - gBeamSplitterZprime) / gBeamR;
      trackPhiRef = offset + slope * (gHitZprime[hit] + 1.0) -
                    bsAngleParam * ((gHitZprime[hit] + 1.0) - gBeamSplitterZprime) / gBeamR;
    }
  }
  // TECminus
  else if (beam.isTecInternal(-1)) {
    if (gHitZprime[hit] > gBeamSplitterZprime) {
      trackPhi = offset + slope * gHitZprime[hit];
      trackPhiRef = offset + slope * (gHitZprime[hit] + 1.0);
    } else {
      trackPhi = offset + slope * gHitZprime[hit] + bsAngleParam * (gHitZprime[hit] - gBeamSplitterZprime) / gBeamR;
      trackPhiRef = offset + slope * (gHitZprime[hit] + 1.0) +
                    bsAngleParam * ((gHitZprime[hit] + 1.0) - gBeamSplitterZprime) / gBeamR;
    }
  }
  // ATs
  else {
    // TECminus
    if (gHitZprime[hit] < -gBeamSplitterZprime - 2.0 * gBeamZ0) {
      trackPhi = offset + slope * gHitZprime[hit];
      trackPhiRef = offset + slope * (gHitZprime[hit] + 1.0);
    }
    // BarrelMinus
    else if (-gBeamSplitterZprime - 2.0 * gBeamZ0 < gHitZprime[hit] && gHitZprime[hit] < -gBeamZ0) {
      if (!gIsInnerBarrel) {
        trackPhi = offset + slope * gHitZprime[hit] + gTOBparam * (phiAtMinusParam + atThetaSplitParam);
      } else {
        trackPhi = offset + slope * gHitZprime[hit] - gTIBparam * (phiAtMinusParam - atThetaSplitParam);
      }
      trackPhiRef = offset + slope * (gHitZprime[hit] + abs(gBarrelModuleOffset[hit - gHitsAtTecMinus]));
    }
    // BarrelPlus
    else if (-gBeamZ0 < gHitZprime[hit] && gHitZprime[hit] < gBeamSplitterZprime) {
      if (!gIsInnerBarrel) {
        trackPhi = offset + slope * gHitZprime[hit] + gTOBparam * (phiAtPlusParam - atThetaSplitParam);
      } else {
        trackPhi = offset + slope * gHitZprime[hit] - gTIBparam * (phiAtPlusParam + atThetaSplitParam);
      }
      trackPhiRef = offset + slope * (gHitZprime[hit] + abs(gBarrelModuleOffset[hit - gHitsAtTecMinus]));
    }
    // TECplus
    else {
      trackPhi = offset + slope * gHitZprime[hit] - bsAngleParam * (gHitZprime[hit] - gBeamSplitterZprime) / gBeamR;
      trackPhiRef = offset + slope * (gHitZprime[hit] + 1.0) -
                    bsAngleParam * ((gHitZprime[hit] + 1.0) - gBeamSplitterZprime) / gBeamR;
    }
  }
}
 
// -------------- calculate global track points, hit residuals, chi2 ----------------------------------
void TkLasBeamFitter::globalTrackPoint(TkFittedLasBeam &beam,
                                       unsigned int &hit,
                                       unsigned int &hitsAtTecPlus,
                                       double &trackPhi,
                                       double &trackPhiRef,
                                       vector<GlobalPoint> &globHit,
                                       vector<GlobalPoint> &globPtrack,
                                       GlobalPoint &globPref,
                                       vector<double> &hitPhiError) {
  // TECs
  if (beam.isTecInternal(0)) {
    globPtrack.push_back(GlobalPoint(GlobalPoint::Cylindrical(gBeamR, trackPhi, globHit[hit].z())));
    globPref = GlobalPoint(GlobalPoint::Cylindrical(gBeamR, trackPhiRef, globHit[hit].z() + 1.0));
  }
  // ATs
  else {
    // TECminus
    if (hit < gHitsAtTecMinus) {  // gHitZprime[hit] < -gBeamSplitterZprime - 2.0*gBeamZ0
      globPtrack.push_back(GlobalPoint(GlobalPoint::Cylindrical(gBeamR, trackPhi, globHit[hit].z())));
      globPref = GlobalPoint(GlobalPoint::Cylindrical(gBeamR, trackPhiRef, globHit[hit].z() + 1.0));
    }
    // TECplus
    else if (hit > gHitZprime.size() - hitsAtTecPlus - 1) {  // gHitZprime[hit] > gBeamSplitterZprime
      globPtrack.push_back(GlobalPoint(GlobalPoint::Cylindrical(gBeamR, trackPhi, globHit[hit].z())));
      globPref = GlobalPoint(GlobalPoint::Cylindrical(gBeamR, trackPhiRef, globHit[hit].z() + 1.0));
    }
    // Barrel
    else {
      globPtrack.push_back(GlobalPoint(GlobalPoint::Cylindrical(globHit[hit].perp(), trackPhi, globHit[hit].z())));
      globPref = GlobalPoint(GlobalPoint::Cylindrical(gBeamR, trackPhiRef, globHit[hit].z()));
    }
  }
}
 
// ----------- create TrajectoryStateOnSurface for each track hit ----------------------------------------------
void TkLasBeamFitter::buildTrajectory(TkFittedLasBeam &beam,
                                      unsigned int &hit,
                                      vector<const GeomDetUnit *> &gd,
                                      vector<GlobalPoint> &globPtrack,
                                      vector<TrajectoryStateOnSurface> &tsosLas,
                                      GlobalPoint &globPref) {
  const MagneticField *magneticField = fieldHandle.product();
  GlobalVector trajectoryState;
 
  // TECplus
  if (beam.isTecInternal(1)) {
    trajectoryState = GlobalVector(globPref - globPtrack[hit]);
  }
  // TECminus
  else if (beam.isTecInternal(-1)) {
    trajectoryState = GlobalVector(globPtrack[hit] - globPref);
  }
  // ATs
  else {
    // TECminus
    if (gHitZprime[hit] < -gBeamSplitterZprime - 2.0 * gBeamZ0) {
      trajectoryState = GlobalVector(globPtrack[hit] - globPref);
    }
    // TECplus
    else if (gHitZprime[hit] > gBeamSplitterZprime) {
      trajectoryState = GlobalVector(globPref - globPtrack[hit]);
    }
    // Barrel
    else {
      trajectoryState = GlobalVector(globPtrack[hit] - globPref);
    }
  }
  //   cout << "trajectory: " << trajectoryState << endl;
  const FreeTrajectoryState ftsLas = FreeTrajectoryState(globPtrack[hit], trajectoryState, 0, magneticField);
  tsosLas.push_back(TrajectoryStateOnSurface(ftsLas, gd[hit]->surface(), SurfaceSideDefinition::beforeSurface));
}
 
//---------------------- set beam parameters for fittedBeams ---------------------------------
bool TkLasBeamFitter::fitBeam(TkFittedLasBeam &beam,
                              AlgebraicSymMatrix &covMatrix,
                              unsigned int &hitsAtTecPlus,
                              unsigned int &nFitParams,
                              double &offset,
                              double &slope,
                              vector<GlobalPoint> &globPtrack,
                              double &bsAngleParam,
                              double &chi2) {
  // set beam parameters for beam output
  unsigned int paramType(0);
  if (!fitBeamSplitters_)
    paramType = 1;
  if (beam.isAlignmentTube() && hitsAtTecPlus == 0)
    paramType = 0;
  //   const unsigned int nPedeParams = nFitParams + paramType;
 
  // test without BS params
  const unsigned int nPedeParams(nFitParams);
  //   cout << "number of Pede parameters: " << nPedeParams << endl;
 
  std::vector<TkFittedLasBeam::Scalar> params(nPedeParams);
  params[0] = offset;
  params[1] = slope;
  // no BS parameter for AT beams without TECplus hits
  //   if(beam.isTecInternal() || hitsAtTecPlus > 0) params[2] = bsAngleParam;
 
  AlgebraicMatrix derivatives(gHitZprime.size(), nPedeParams);
  // fill derivatives matrix with local track derivatives
  for (unsigned int hit = 0; hit < gHitZprime.size(); ++hit) {
    // d(delta phi)/d(offset) is identical for every hit
    derivatives[hit][0] = 1.0;
 
    // d(delta phi)/d(slope) and d(delta phi)/d(bsAngleParam) depend on parametrizations
    // TECplus
    if (beam.isTecInternal(1)) {
      derivatives[hit][1] = globPtrack[hit].z();
      //       if(gHitZprime[hit] < gBeamSplitterZprime){
      //    derivatives[hit][2] = 0.0;
      //       }
      //       else{
      //    derivatives[hit][2] = - (globPtrack[hit].z() - gBeamSplitterZprime) / gBeamR;
      //       }
    }
    // TECminus
    else if (beam.isTecInternal(-1)) {
      derivatives[hit][1] = globPtrack[hit].z();
      //       if(gHitZprime[hit] > gBeamSplitterZprime){
      //    derivatives[hit][2] = 0.0;
      //       }
      //       else{
      //    derivatives[hit][2] = (globPtrack[hit].z() - gBeamSplitterZprime) / gBeamR;
      //       }
    }
    // ATs
    else {
      // TECminus
      if (gHitZprime[hit] < -gBeamSplitterZprime - 2.0 * gBeamZ0) {
        derivatives[hit][1] = globPtrack[hit].z();
        //  if(hitsAtTecPlus > 0){
        //    derivatives[hit][2] = 0.0;
        //  }
      }
      // TECplus
      else if (gHitZprime[hit] > gBeamSplitterZprime) {
        derivatives[hit][1] = globPtrack[hit].z();
        //  if(hitsAtTecPlus > 0){
        //    derivatives[hit][2] = - (globPtrack[hit].z() - gBeamSplitterZprime) / gBeamR;
        //  }
      }
      // Barrel
      else {
        derivatives[hit][1] = globPtrack[hit].z() - gBarrelModuleOffset[hit - gHitsAtTecMinus];
        //  if(hitsAtTecPlus > 0){
        //    derivatives[hit][2] = 0.0;
        //  }
      }
    }
  }
 
  unsigned int firstFixedParam(covMatrix.num_col());  // FIXME! --> no, is fine!!!
                                                      //   unsigned int firstFixedParam = nPedeParams - 1;
  //   if(beam.isAlignmentTube() && hitsAtTecPlus == 0) firstFixedParam = nPedeParams;
  //   cout << "first fixed parameter: " << firstFixedParam << endl;
  // set fit results
  beam.setParameters(paramType, params, covMatrix, derivatives, firstFixedParam, chi2);
 
  return true;  // return false in case of problems
}
 
//---------------------------------------------------------------------------------------
//define this as a plug-in
DEFINE_FWK_MODULE(TkLasBeamFitter);