EcalClusterTools.h

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#ifndef RecoEcal_EgammaCoreTools_EcalClusterTools_h
#define RecoEcal_EgammaCoreTools_EcalClusterTools_h
 
#include "DataFormats/EgammaReco/interface/SuperCluster.h"
#include "DataFormats/EgammaReco/interface/BasicCluster.h"
#include "DataFormats/EcalRecHit/interface/EcalRecHitCollections.h"
#include "RecoLocalCalo/EcalRecAlgos/interface/EcalSeverityLevelAlgo.h"
//#include "DataFormats/Math/interface/Point3D.h"
#include "DataFormats/Math/interface/Vector3D.h"
//includes for ShowerShape function to work
#include <vector>
#include <cmath>
#include <TMath.h>
#include <TMatrixT.h>
#include <TMatrixD.h>
#include <TVectorT.h>
#include <TVectorD.h>
 
#include "DataFormats/DetId/interface/DetId.h"
#include "DataFormats/EcalDetId/interface/EBDetId.h"
#include "DataFormats/EcalDetId/interface/EEDetId.h"
#include "RecoCaloTools/Navigation/interface/CaloRectangle.h"
 
#include "FWCore/MessageLogger/interface/MessageLogger.h"
 
#include "CLHEP/Geometry/Transform3D.h"
 
#include "Geometry/CaloGeometry/interface/CaloGeometry.h"
#include "Geometry/CaloTopology/interface/CaloTopology.h"
#include "Geometry/CaloGeometry/interface/CaloCellGeometry.h"
#include "Geometry/EcalAlgo/interface/EcalBarrelGeometry.h"
 
class DetId;
class CaloTopology;
class CaloGeometry;
 
struct Cluster2ndMoments {
  // major and minor cluster moments wrt principale axes:
  float sMaj;
  float sMin;
  // angle between sMaj and phi:
  float alpha;
  Cluster2ndMoments() : sMaj(0.), sMin(0.), alpha(0.) {}
};
 
template <bool noZS>
class EcalClusterToolsT {
public:
  // various energies in the matrix nxn surrounding the maximum energy crystal of the input cluster
  //we use an eta/phi coordinate system rather than phi/eta
  //note e3x2 does not have a definate eta/phi geometry, it takes the maximum 3x2 block containing the
  //seed regardless of whether that 3 in eta or phi
  static float e1x3(const reco::BasicCluster &cluster,
                    const EcalRecHitCollection *recHits,
                    const CaloTopology *topology);
 
  static float e3x1(const reco::BasicCluster &cluster,
                    const EcalRecHitCollection *recHits,
                    const CaloTopology *topology);
 
  static float e1x5(const reco::BasicCluster &cluster,
                    const EcalRecHitCollection *recHits,
                    const CaloTopology *topology);
 
  static float e5x1(const reco::BasicCluster &cluster,
                    const EcalRecHitCollection *recHits,
                    const CaloTopology *topology);
 
  static float e2x2(const reco::BasicCluster &cluster,
                    const EcalRecHitCollection *recHits,
                    const CaloTopology *topology);
 
  static float e3x2(const reco::BasicCluster &cluster,
                    const EcalRecHitCollection *recHits,
                    const CaloTopology *topology);
 
  static float e3x3(const reco::BasicCluster &cluster,
                    const EcalRecHitCollection *recHits,
                    const CaloTopology *topology);
 
  static float e4x4(const reco::BasicCluster &cluster,
                    const EcalRecHitCollection *recHits,
                    const CaloTopology *topology);
 
  static float e5x5(const reco::BasicCluster &cluster,
                    const EcalRecHitCollection *recHits,
                    const CaloTopology *topology);
  static int n5x5(const reco::BasicCluster &cluster, const EcalRecHitCollection *recHits, const CaloTopology *topology);
 
  // energy in the 2x5 strip right of the max crystal (does not contain max crystal)
  // 2 crystals wide in eta, 5 wide in phi.
  static float e2x5Right(const reco::BasicCluster &cluster,
                         const EcalRecHitCollection *recHits,
                         const CaloTopology *topology);
  // energy in the 2x5 strip left of the max crystal (does not contain max crystal)
 
  static float e2x5Left(const reco::BasicCluster &cluster,
                        const EcalRecHitCollection *recHits,
                        const CaloTopology *topology);
  // energy in the 5x2 strip above the max crystal (does not contain max crystal)
  // 5 crystals wide in eta, 2 wide in phi.
 
  static float e2x5Top(const reco::BasicCluster &cluster,
                       const EcalRecHitCollection *recHits,
                       const CaloTopology *topology);
  // energy in the 5x2 strip below the max crystal (does not contain max crystal)
 
  static float e2x5Bottom(const reco::BasicCluster &cluster,
                          const EcalRecHitCollection *recHits,
                          const CaloTopology *topology);
  // energy in a 2x5 strip containing the seed (max) crystal.
  // 2 crystals wide in eta, 5 wide in phi.
  // it is the maximum of either (1x5left + 1x5center) or (1x5right + 1x5center)
  static float e2x5Max(const reco::BasicCluster &cluster,
                       const EcalRecHitCollection *recHits,
                       const CaloTopology *topology);
 
  // energies in the crystal left, right, top, bottom w.r.t. to the most energetic crystal
  static float eLeft(const reco::BasicCluster &cluster,
                     const EcalRecHitCollection *recHits,
                     const CaloTopology *topology);
 
  static float eRight(const reco::BasicCluster &cluster,
                      const EcalRecHitCollection *recHits,
                      const CaloTopology *topology);
 
  static float eTop(const reco::BasicCluster &cluster,
                    const EcalRecHitCollection *recHits,
                    const CaloTopology *topology);
 
  static float eBottom(const reco::BasicCluster &cluster,
                       const EcalRecHitCollection *recHits,
                       const CaloTopology *topology);
  // the energy of the most energetic crystal in the cluster
 
  static float eMax(const reco::BasicCluster &cluster, const EcalRecHitCollection *recHits);
 
  // the energy of the second most energetic crystal in the cluster
  static float e2nd(const reco::BasicCluster &cluster, const EcalRecHitCollection *recHits);
 
  // get the DetId and the energy of the maximum energy crystal of the input cluster
  static std::pair<DetId, float> getMaximum(const reco::BasicCluster &cluster, const EcalRecHitCollection *recHits);
 
  static std::vector<float> energyBasketFractionEta(const reco::BasicCluster &cluster,
                                                    const EcalRecHitCollection *recHits);
 
  static std::vector<float> energyBasketFractionPhi(const reco::BasicCluster &cluster,
                                                    const EcalRecHitCollection *recHits);
 
  // return a vector v with v[0] = etaLat, v[1] = phiLat, v[2] = lat
  static std::vector<float> lat(const reco::BasicCluster &cluster,
                                const EcalRecHitCollection *recHits,
                                const CaloGeometry *geometry,
                                bool logW = true,
                                float w0 = 4.7);
 
  // return a vector v with v[0] = covEtaEta, v[1] = covEtaPhi, v[2] = covPhiPhi
 
  static std::vector<float> covariances(const reco::BasicCluster &cluster,
                                        const EcalRecHitCollection *recHits,
                                        const CaloTopology *topology,
                                        const CaloGeometry *geometry,
                                        float w0 = 4.7);
 
  // return a vector v with v[0] = covIEtaIEta, v[1] = covIEtaIPhi, v[2] = covIPhiIPhi
  //this function calculates differences in eta/phi in units of crystals not global eta/phi
  //this is gives better performance in the crack regions of the calorimeter but gives otherwise identical results to covariances function
  //   except that it doesnt need an eta based correction funtion in the endcap
  //it is multipled by an approprate crystal size to ensure it gives similar values to covariances(...)
  //
  //Warning: covIEtaIEta has been studied by egamma, but so far covIPhiIPhi hasnt been studied extensively so there could be a bug in
  //         the covIPhiIEta or covIPhiIPhi calculations. I dont think there is but as it hasnt been heavily used, there might be one
  static std::vector<float> localCovariances(const reco::BasicCluster &cluster,
                                             const EcalRecHitCollection *recHits,
                                             const CaloTopology *topology,
                                             float w0 = 4.7);
 
  static std::vector<float> scLocalCovariances(const reco::SuperCluster &cluster,
                                               const EcalRecHitCollection *recHits,
                                               const CaloTopology *topology,
                                               float w0 = 4.7);
 
  // cluster second moments with respect to principal axes:
  static Cluster2ndMoments cluster2ndMoments(const reco::BasicCluster &basicCluster,
                                             const EcalRecHitCollection &recHits,
                                             double phiCorrectionFactor = 0.8,
                                             double w0 = 4.7,
                                             bool useLogWeights = true);
 
  static Cluster2ndMoments cluster2ndMoments(const reco::SuperCluster &superCluster,
                                             const EcalRecHitCollection &recHits,
                                             double phiCorrectionFactor = 0.8,
                                             double w0 = 4.7,
                                             bool useLogWeights = true);
  static Cluster2ndMoments cluster2ndMoments(const std::vector<std::pair<const EcalRecHit *, float>> &RH_ptrs_fracs,
                                             double phiCorrectionFactor = 0.8,
                                             double w0 = 4.7,
                                             bool useLogWeights = true);
 
  static double zernike20(const reco::BasicCluster &cluster,
                          const EcalRecHitCollection *recHits,
                          const CaloGeometry *geometry,
                          double R0 = 6.6,
                          bool logW = true,
                          float w0 = 4.7);
  static double zernike42(const reco::BasicCluster &cluster,
                          const EcalRecHitCollection *recHits,
                          const CaloGeometry *geometry,
                          double R0 = 6.6,
                          bool logW = true,
                          float w0 = 4.7);
 
  // get the detId's of a matrix centered in the maximum energy crystal = (0,0)
  // the size is specified by ixMin, ixMax, iyMin, iyMax in unit of crystals
  static std::vector<DetId> matrixDetId(const CaloTopology *topology, DetId id, CaloRectangle rectangle);
  static std::vector<DetId> matrixDetId(const CaloTopology *topology, DetId id, int size) {
    return matrixDetId(topology, id, CaloRectangle{-size, size, -size, size});
  }
 
  // get the energy deposited in a matrix centered in the maximum energy crystal = (0,0)
  // the size is specified by ixMin, ixMax, iyMin, iyMax in unit of crystals
  static float matrixEnergy(const reco::BasicCluster &cluster,
                            const EcalRecHitCollection *recHits,
                            const CaloTopology *topology,
                            DetId id,
                            CaloRectangle rectangle);
  static int matrixSize(const reco::BasicCluster &cluster,
                        const EcalRecHitCollection *recHits,
                        const CaloTopology *topology,
                        DetId id,
                        CaloRectangle rectangle);
 
  static float getFraction(const std::vector<std::pair<DetId, float>> &v_id, DetId id);
  // get the DetId and the energy of the maximum energy crystal in a vector of DetId
  static std::pair<DetId, float> getMaximum(const std::vector<std::pair<DetId, float>> &v_id,
                                            const EcalRecHitCollection *recHits);
 
  // get the energy of a DetId, return 0 if the DetId is not in the collection
  static float recHitEnergy(DetId id, const EcalRecHitCollection *recHits);
 
  //Shower shape variables return vector <Roundness, Angle> of a photon
  static std::vector<float> roundnessBarrelSuperClusters(const reco::SuperCluster &superCluster,
                                                         const EcalRecHitCollection &recHits,
                                                         int weightedPositionMethod = 0,
                                                         float energyThreshold = 0.0);
  static std::vector<float> roundnessBarrelSuperClustersUserExtended(const reco::SuperCluster &superCluster,
                                                                     const EcalRecHitCollection &recHits,
                                                                     int ieta_delta = 0,
                                                                     int iphi_delta = 0,
                                                                     float energyRHThresh = 0.00000,
                                                                     int weightedPositionMethod = 0);
  static std::vector<float> roundnessSelectedBarrelRecHits(
      const std::vector<std::pair<const EcalRecHit *, float>> &rhVector, int weightedPositionMethod = 0);
 
  //works out the number of staturated crystals in 5x5
  static int nrSaturatedCrysIn5x5(const DetId &id, const EcalRecHitCollection *recHits, const CaloTopology *topology);
 
private:
  struct EcalClusterEnergyDeposition {
    double deposited_energy;
    double r;
    double phi;
  };
 
  static std::vector<EcalClusterEnergyDeposition> getEnergyDepTopology(const reco::BasicCluster &cluster,
                                                                       const EcalRecHitCollection *recHits,
                                                                       const CaloGeometry *geometry,
                                                                       bool logW,
                                                                       float w0);
 
  static math::XYZVector meanClusterPosition(const reco::BasicCluster &cluster,
                                             const EcalRecHitCollection *recHits,
                                             const CaloTopology *topology,
                                             const CaloGeometry *geometry);
 
  //return energy weighted mean distance from the seed crystal in number of crystals
  //<iEta,iPhi>, iPhi is not defined for endcap and is returned as zero
  static std::pair<float, float> mean5x5PositionInLocalCrysCoord(const reco::BasicCluster &cluster,
                                                                 const EcalRecHitCollection *recHits,
                                                                 const CaloTopology *topology);
 
  static std::pair<float, float> mean5x5PositionInXY(const reco::BasicCluster &cluster,
                                                     const EcalRecHitCollection *recHits,
                                                     const CaloTopology *topology);
 
  static double f00(double r) { return 1; }
  static double f11(double r) { return r; }
  static double f20(double r) { return 2.0 * r * r - 1.0; }
  static double f22(double r) { return r * r; }
  static double f31(double r) { return 3.0 * r * r * r - 2.0 * r; }
  static double f33(double r) { return r * r * r; }
  static double f40(double r) { return 6.0 * r * r * r * r - 6.0 * r * r + 1.0; }
  static double f42(double r) { return 4.0 * r * r * r * r - 3.0 * r * r; }
  static double f44(double r) { return r * r * r * r; }
  static double f51(double r) { return 10.0 * pow(r, 5) - 12.0 * pow(r, 3) + 3.0 * r; }
  static double f53(double r) { return 5.0 * pow(r, 5) - 4.0 * pow(r, 3); }
  static double f55(double r) { return pow(r, 5); }
 
  static double absZernikeMoment(const reco::BasicCluster &cluster,
                                 const EcalRecHitCollection *recHits,
                                 const CaloGeometry *geometry,
                                 int n,
                                 int m,
                                 double R0,
                                 bool logW,
                                 float w0);
  static double fast_AbsZernikeMoment(const reco::BasicCluster &cluster,
                                      const EcalRecHitCollection *recHits,
                                      const CaloGeometry *geometry,
                                      int n,
                                      int m,
                                      double R0,
                                      bool logW,
                                      float w0);
  static double calc_AbsZernikeMoment(const reco::BasicCluster &cluster,
                                      const EcalRecHitCollection *recHits,
                                      const CaloGeometry *geometry,
                                      int n,
                                      int m,
                                      double R0,
                                      bool logW,
                                      float w0);
 
  static double factorial(int n) {
    double res = 1.;
    for (int i = 2; i <= n; ++i)
      res *= i;
    return res;
  }
 
  //useful functions for the localCovariances function
  static float getIEta(const DetId &id);
  static float getIPhi(const DetId &id);
  static float getNormedIX(const DetId &id);
  static float getNormedIY(const DetId &id);
  static float getDPhiEndcap(const DetId &crysId, float meanX, float meanY);
  static float getNrCrysDiffInEta(const DetId &crysId, const DetId &orginId);
  static float getNrCrysDiffInPhi(const DetId &crysId, const DetId &orginId);
 
  //useful functions for showerRoundnessBarrel function
  static int deltaIEta(int seed_ieta, int rh_ieta);
  static int deltaIPhi(int seed_iphi, int rh_iphi);
  static std::vector<int> getSeedPosition(const std::vector<std::pair<const EcalRecHit *, float>> &RH_ptrs);
  static float getSumEnergy(const std::vector<std::pair<const EcalRecHit *, float>> &RH_ptrs_fracs);
  static float computeWeight(float eRH, float energyTotal, int weightedPositionMethod);
};
 
// implementation
template <bool noZS>
float EcalClusterToolsT<noZS>::getFraction(const std::vector<std::pair<DetId, float>> &v_id, DetId id) {
  if (noZS)
    return 1.0;
  float frac = 0.0;
  for (size_t i = 0; i < v_id.size(); ++i) {
    if (v_id[i].first.rawId() == id.rawId()) {
      frac = v_id[i].second;
      break;
    }
  }
  return frac;
}
 
template <bool noZS>
std::pair<DetId, float> EcalClusterToolsT<noZS>::getMaximum(const std::vector<std::pair<DetId, float>> &v_id,
                                                            const EcalRecHitCollection *recHits) {
  float max = 0;
  DetId id(0);
  for (size_t i = 0; i < v_id.size(); ++i) {
    float energy = recHitEnergy(v_id[i].first, recHits) * (noZS ? 1.0 : v_id[i].second);
    if (energy > max) {
      max = energy;
      id = v_id[i].first;
    }
  }
  return std::pair<DetId, float>(id, max);
}
 
template <bool noZS>
std::pair<DetId, float> EcalClusterToolsT<noZS>::getMaximum(const reco::BasicCluster &cluster,
                                                            const EcalRecHitCollection *recHits) {
  return getMaximum(cluster.hitsAndFractions(), recHits);
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::recHitEnergy(DetId id, const EcalRecHitCollection *recHits) {
  if (id == DetId(0)) {
    return 0;
  } else {
    EcalRecHitCollection::const_iterator it = recHits->find(id);
    if (it != recHits->end()) {
      if (noZS && (it->checkFlag(EcalRecHit::kTowerRecovered) || it->checkFlag(EcalRecHit::kWeird) ||
                   (it->detid().subdetId() == EcalBarrel && it->checkFlag(EcalRecHit::kDiWeird))))
        return 0.0;
      else
        return it->energy();
    } else {
      //throw cms::Exception("EcalRecHitNotFound") << "The recHit corresponding to the DetId" << id.rawId() << " not found in the EcalRecHitCollection";
      // the recHit is not in the collection (hopefully zero suppressed)
      return 0;
    }
  }
  return 0;
}
 
// Returns the energy in a rectangle of crystals
// specified in eta by ixMin and ixMax
//       and in phi by iyMin and iyMax
//
// Reference picture (X=seed crystal)
//    iy ___________
//     2 |_|_|_|_|_|
//     1 |_|_|_|_|_|
//     0 |_|_|X|_|_|
//    -1 |_|_|_|_|_|
//    -2 |_|_|_|_|_|
//      -2 -1 0 1 2 ix
template <bool noZS>
float EcalClusterToolsT<noZS>::matrixEnergy(const reco::BasicCluster &cluster,
                                            const EcalRecHitCollection *recHits,
                                            const CaloTopology *topology,
                                            DetId id,
                                            CaloRectangle rectangle) {
  float energy = 0;
  auto const &vId = cluster.hitsAndFractions();
 
  for (auto const &detId : rectangle(id, *topology)) {
    energy += recHitEnergy(detId, recHits) * getFraction(vId, detId);
  }
 
  return energy;
}
 
template <bool noZS>
int EcalClusterToolsT<noZS>::matrixSize(const reco::BasicCluster &cluster,
                                        const EcalRecHitCollection *recHits,
                                        const CaloTopology *topology,
                                        DetId id,
                                        CaloRectangle rectangle) {
  int result = 0;
 
  for (auto const &detId : rectangle(id, *topology)) {
    const float energy = recHitEnergy(detId, recHits);
    const float frac = getFraction(cluster.hitsAndFractions(), detId);
    if (energy * frac > 0)
      result++;
  }
  return result;
}
 
template <bool noZS>
std::vector<DetId> EcalClusterToolsT<noZS>::matrixDetId(const CaloTopology *topology,
                                                        DetId id,
                                                        CaloRectangle rectangle) {
  std::vector<DetId> v;
  for (auto const &detId : rectangle(id, *topology)) {
    if (detId != DetId(0))
      v.push_back(detId);
  }
  return v;
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e2x2(const reco::BasicCluster &cluster,
                                    const EcalRecHitCollection *recHits,
                                    const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  std::list<float> energies;
  float max_E = matrixEnergy(cluster, recHits, topology, id, {-1, 0, -1, 0});
  max_E = std::max(max_E, matrixEnergy(cluster, recHits, topology, id, {-1, 0, 0, 1}));
  max_E = std::max(max_E, matrixEnergy(cluster, recHits, topology, id, {0, 1, 0, 1}));
  max_E = std::max(max_E, matrixEnergy(cluster, recHits, topology, id, {0, 1, -1, 0}));
  return max_E;
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e3x2(const reco::BasicCluster &cluster,
                                    const EcalRecHitCollection *recHits,
                                    const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  float max_E = matrixEnergy(cluster, recHits, topology, id, {-1, 1, -1, 0});
  max_E = std::max(max_E, matrixEnergy(cluster, recHits, topology, id, {0, 1, -1, 1}));
  max_E = std::max(max_E, matrixEnergy(cluster, recHits, topology, id, {-1, 1, 0, 1}));
  max_E = std::max(max_E, matrixEnergy(cluster, recHits, topology, id, {-1, 0, -1, 1}));
  return max_E;
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e3x3(const reco::BasicCluster &cluster,
                                    const EcalRecHitCollection *recHits,
                                    const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {-1, 1, -1, 1});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e4x4(const reco::BasicCluster &cluster,
                                    const EcalRecHitCollection *recHits,
                                    const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  float max_E = matrixEnergy(cluster, recHits, topology, id, {-1, 2, -2, 1});
  max_E = std::max(max_E, matrixEnergy(cluster, recHits, topology, id, {-2, 1, -2, 1}));
  max_E = std::max(max_E, matrixEnergy(cluster, recHits, topology, id, {-2, 1, -1, 2}));
  max_E = std::max(max_E, matrixEnergy(cluster, recHits, topology, id, {-1, 2, -1, 2}));
  return max_E;
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e5x5(const reco::BasicCluster &cluster,
                                    const EcalRecHitCollection *recHits,
                                    const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {-2, 2, -2, 2});
}
 
template <bool noZS>
int EcalClusterToolsT<noZS>::n5x5(const reco::BasicCluster &cluster,
                                  const EcalRecHitCollection *recHits,
                                  const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixSize(cluster, recHits, topology, id, {-2, 2, -2, 2});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::eMax(const reco::BasicCluster &cluster, const EcalRecHitCollection *recHits) {
  return getMaximum(cluster.hitsAndFractions(), recHits).second;
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e2nd(const reco::BasicCluster &cluster, const EcalRecHitCollection *recHits) {
  std::vector<float> energies;
  const std::vector<std::pair<DetId, float>> &v_id = cluster.hitsAndFractions();
  energies.reserve(v_id.size());
  if (v_id.size() < 2)
    return 0;
  for (size_t i = 0; i < v_id.size(); ++i) {
    energies.push_back(recHitEnergy(v_id[i].first, recHits) * (noZS ? 1.0 : v_id[i].second));
  }
  std::partial_sort(energies.begin(), energies.begin() + 2, energies.end(), std::greater<float>());
  return energies[1];
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e2x5Right(const reco::BasicCluster &cluster,
                                         const EcalRecHitCollection *recHits,
                                         const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {1, 2, -2, 2});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e2x5Left(const reco::BasicCluster &cluster,
                                        const EcalRecHitCollection *recHits,
                                        const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {-2, -1, -2, 2});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e2x5Top(const reco::BasicCluster &cluster,
                                       const EcalRecHitCollection *recHits,
                                       const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {-2, 2, 1, 2});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e2x5Bottom(const reco::BasicCluster &cluster,
                                          const EcalRecHitCollection *recHits,
                                          const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {-2, 2, -2, -1});
}
 
// Energy in 2x5 strip containing the max crystal.
// Adapted from code by Sam Harper
template <bool noZS>
float EcalClusterToolsT<noZS>::e2x5Max(const reco::BasicCluster &cluster,
                                       const EcalRecHitCollection *recHits,
                                       const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
 
  // 1x5 strip left of seed
  float left = matrixEnergy(cluster, recHits, topology, id, {-1, -1, -2, 2});
  // 1x5 strip right of seed
  float right = matrixEnergy(cluster, recHits, topology, id, {1, 1, -2, 2});
  // 1x5 strip containing seed
  float centre = matrixEnergy(cluster, recHits, topology, id, {0, 0, -2, 2});
 
  // Return the maximum of (left+center) or (right+center) strip
  return left > right ? left + centre : right + centre;
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e1x5(const reco::BasicCluster &cluster,
                                    const EcalRecHitCollection *recHits,
                                    const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {0, 0, -2, 2});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e5x1(const reco::BasicCluster &cluster,
                                    const EcalRecHitCollection *recHits,
                                    const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {-2, 2, 0, 0});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e1x3(const reco::BasicCluster &cluster,
                                    const EcalRecHitCollection *recHits,
                                    const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {0, 0, -1, 1});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::e3x1(const reco::BasicCluster &cluster,
                                    const EcalRecHitCollection *recHits,
                                    const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {-1, 1, 0, 0});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::eLeft(const reco::BasicCluster &cluster,
                                     const EcalRecHitCollection *recHits,
                                     const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {-1, -1, 0, 0});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::eRight(const reco::BasicCluster &cluster,
                                      const EcalRecHitCollection *recHits,
                                      const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {1, 1, 0, 0});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::eTop(const reco::BasicCluster &cluster,
                                    const EcalRecHitCollection *recHits,
                                    const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {0, 0, 1, 1});
}
 
template <bool noZS>
float EcalClusterToolsT<noZS>::eBottom(const reco::BasicCluster &cluster,
                                       const EcalRecHitCollection *recHits,
                                       const CaloTopology *topology) {
  DetId id = getMaximum(cluster.hitsAndFractions(), recHits).first;
  return matrixEnergy(cluster, recHits, topology, id, {0, 0, -1, -1});
}
 
template <bool noZS>
std::vector<float> EcalClusterToolsT<noZS>::energyBasketFractionEta(const reco::BasicCluster &cluster,
                                                                    const EcalRecHitCollection *recHits) {
  std::vector<float> basketFraction(2 * EBDetId::kModulesPerSM);
  float clusterEnergy = cluster.energy();
  const std::vector<std::pair<DetId, float>> &v_id = cluster.hitsAndFractions();
  if (v_id[0].first.subdetId() != EcalBarrel) {
    edm::LogWarning("EcalClusterToolsT<noZS>::energyBasketFractionEta")
        << "Trying to get basket fraction for endcap basic-clusters. Basket fractions can be obtained ONLY for barrel "
           "basic-clusters. Returning empty vector.";
    return basketFraction;
  }
  for (size_t i = 0; i < v_id.size(); ++i) {
    basketFraction[EBDetId(v_id[i].first).im() - 1 + EBDetId(v_id[i].first).positiveZ() * EBDetId::kModulesPerSM] +=
        recHitEnergy(v_id[i].first, recHits) * v_id[i].second / clusterEnergy;
  }
  std::sort(basketFraction.rbegin(), basketFraction.rend());
  return basketFraction;
}
 
template <bool noZS>
std::vector<float> EcalClusterToolsT<noZS>::energyBasketFractionPhi(const reco::BasicCluster &cluster,
                                                                    const EcalRecHitCollection *recHits) {
  std::vector<float> basketFraction(2 * (EBDetId::MAX_IPHI / EBDetId::kCrystalsInPhi));
  float clusterEnergy = cluster.energy();
  const std::vector<std::pair<DetId, float>> &v_id = cluster.hitsAndFractions();
  if (v_id[0].first.subdetId() != EcalBarrel) {
    edm::LogWarning("EcalClusterToolsT<noZS>::energyBasketFractionPhi")
        << "Trying to get basket fraction for endcap basic-clusters. Basket fractions can be obtained ONLY for barrel "
           "basic-clusters. Returning empty vector.";
    return basketFraction;
  }
  for (size_t i = 0; i < v_id.size(); ++i) {
    basketFraction[(EBDetId(v_id[i].first).iphi() - 1) / EBDetId::kCrystalsInPhi +
                   EBDetId(v_id[i].first).positiveZ() * EBDetId::kTowersInPhi] +=
        recHitEnergy(v_id[i].first, recHits) * (noZS ? 1.0 : v_id[i].second) / clusterEnergy;
  }
  std::sort(basketFraction.rbegin(), basketFraction.rend());
  return basketFraction;
}
 
template <bool noZS>
std::vector<typename EcalClusterToolsT<noZS>::EcalClusterEnergyDeposition>
EcalClusterToolsT<noZS>::getEnergyDepTopology(const reco::BasicCluster &cluster,
                                              const EcalRecHitCollection *recHits,
                                              const CaloGeometry *geometry,
                                              bool logW,
                                              float w0) {
  std::vector<typename EcalClusterToolsT<noZS>::EcalClusterEnergyDeposition> energyDistribution;
  // init a map of the energy deposition centered on the
  // cluster centroid. This is for momenta calculation only.
  CLHEP::Hep3Vector clVect(cluster.position().x(), cluster.position().y(), cluster.position().z());
  CLHEP::Hep3Vector clDir(clVect);
  clDir *= 1.0 / clDir.mag();
  // in the transverse plane, axis perpendicular to clusterDir
  CLHEP::Hep3Vector theta_axis(clDir.y(), -clDir.x(), 0.0);
  theta_axis *= 1.0 / theta_axis.mag();
  CLHEP::Hep3Vector phi_axis = theta_axis.cross(clDir);
 
  const std::vector<std::pair<DetId, float>> &clusterDetIds = cluster.hitsAndFractions();
 
  EcalClusterEnergyDeposition clEdep;
  EcalRecHit testEcalRecHit;
  std::vector<std::pair<DetId, float>>::const_iterator posCurrent;
  // loop over crystals
  for (posCurrent = clusterDetIds.begin(); posCurrent != clusterDetIds.end(); ++posCurrent) {
    EcalRecHitCollection::const_iterator itt = recHits->find((*posCurrent).first);
    testEcalRecHit = *itt;
 
    if (((*posCurrent).first != DetId(0)) && (recHits->find((*posCurrent).first) != recHits->end())) {
      clEdep.deposited_energy = testEcalRecHit.energy() * (noZS ? 1.0 : (*posCurrent).second);
      // if logarithmic weight is requested, apply cut on minimum energy of the recHit
      if (logW) {
        //double w0 = parameterMap_.find("W0")->second;
 
        double weight = std::max(0.0, w0 + log(std::abs(clEdep.deposited_energy) / cluster.energy()));
        if (weight == 0) {
          LogDebug("ClusterShapeAlgo") << "Crystal has insufficient energy: E = " << clEdep.deposited_energy
                                       << " GeV; skipping... ";
          continue;
        } else
          LogDebug("ClusterShapeAlgo") << "===> got crystal. Energy = " << clEdep.deposited_energy << " GeV. ";
      }
      DetId id_ = (*posCurrent).first;
      const CaloSubdetectorGeometry *geo = geometry->getSubdetectorGeometry(id_);
      auto this_cell = geo->getGeometry(id_);
      const GlobalPoint &cellPos = this_cell->getPosition();
      CLHEP::Hep3Vector gblPos(cellPos.x(), cellPos.y(), cellPos.z());  //surface position?
      // Evaluate the distance from the cluster centroid
      CLHEP::Hep3Vector diff = gblPos - clVect;
      // Important: for the moment calculation, only the "lateral distance" is important
      // "lateral distance" r_i = distance of the digi position from the axis Origin-Cluster Center
      // ---> subtract the projection on clDir
      CLHEP::Hep3Vector DigiVect = diff - diff.dot(clDir) * clDir;
      clEdep.r = DigiVect.mag();
      LogDebug("ClusterShapeAlgo") << "E = " << clEdep.deposited_energy << "\tdiff = " << diff.mag()
                                   << "\tr = " << clEdep.r;
      clEdep.phi = DigiVect.angle(theta_axis);
      if (DigiVect.dot(phi_axis) < 0)
        clEdep.phi = 2 * M_PI - clEdep.phi;
      energyDistribution.push_back(clEdep);
    }
  }
  return energyDistribution;
}
 
template <bool noZS>
std::vector<float> EcalClusterToolsT<noZS>::lat(const reco::BasicCluster &cluster,
                                                const EcalRecHitCollection *recHits,
                                                const CaloGeometry *geometry,
                                                bool logW,
                                                float w0) {
  std::vector<EcalClusterToolsT::EcalClusterEnergyDeposition> energyDistribution =
      getEnergyDepTopology(cluster, recHits, geometry, logW, w0);
 
  std::vector<float> lat;
  double r, redmoment = 0;
  double phiRedmoment = 0;
  double etaRedmoment = 0;
  int n, n1, n2, tmp;
  int clusterSize = energyDistribution.size();
  float etaLat_, phiLat_, lat_;
  if (clusterSize < 3) {
    etaLat_ = 0.0;
    lat_ = 0.0;
    lat.push_back(0.);
    lat.push_back(0.);
    lat.push_back(0.);
    return lat;
  }
 
  n1 = 0;
  n2 = 1;
  if (energyDistribution[1].deposited_energy > energyDistribution[0].deposited_energy) {
    tmp = n2;
    n2 = n1;
    n1 = tmp;
  }
  for (int i = 2; i < clusterSize; i++) {
    n = i;
    if (energyDistribution[i].deposited_energy > energyDistribution[n1].deposited_energy) {
      tmp = n2;
      n2 = n1;
      n1 = i;
      n = tmp;
    } else {
      if (energyDistribution[i].deposited_energy > energyDistribution[n2].deposited_energy) {
        tmp = n2;
        n2 = i;
        n = tmp;
      }
    }
 
    r = energyDistribution[n].r;
    redmoment += r * r * energyDistribution[n].deposited_energy;
    double rphi = r * cos(energyDistribution[n].phi);
    phiRedmoment += rphi * rphi * energyDistribution[n].deposited_energy;
    double reta = r * sin(energyDistribution[n].phi);
    etaRedmoment += reta * reta * energyDistribution[n].deposited_energy;
  }
  double e1 = energyDistribution[n1].deposited_energy;
  double e2 = energyDistribution[n2].deposited_energy;
 
  lat_ = redmoment / (redmoment + 2.19 * 2.19 * (e1 + e2));
  phiLat_ = phiRedmoment / (phiRedmoment + 2.19 * 2.19 * (e1 + e2));
  etaLat_ = etaRedmoment / (etaRedmoment + 2.19 * 2.19 * (e1 + e2));
 
  lat.push_back(etaLat_);
  lat.push_back(phiLat_);
  lat.push_back(lat_);
  return lat;
}
 
template <bool noZS>
math::XYZVector EcalClusterToolsT<noZS>::meanClusterPosition(const reco::BasicCluster &cluster,
                                                             const EcalRecHitCollection *recHits,
                                                             const CaloTopology *topology,
                                                             const CaloGeometry *geometry) {
  // find mean energy position of a 5x5 cluster around the maximum
  math::XYZVector meanPosition(0.0, 0.0, 0.0);
  const std::vector<std::pair<DetId, float>> &hsAndFs = cluster.hitsAndFractions();
  std::vector<DetId> v_id = matrixDetId(topology, getMaximum(cluster, recHits).first, 2);
  for (const std::pair<DetId, float> &hitAndFrac : hsAndFs) {
    for (std::vector<DetId>::const_iterator it = v_id.begin(); it != v_id.end(); ++it) {
      if (hitAndFrac.first != *it && !noZS)
        continue;
      const CaloSubdetectorGeometry *geo = geometry->getSubdetectorGeometry(*it);
      GlobalPoint positionGP = geo->getGeometry(*it)->getPosition();
      math::XYZVector position(positionGP.x(), positionGP.y(), positionGP.z());
      meanPosition = meanPosition + recHitEnergy(*it, recHits) * position * hitAndFrac.second;
    }
    if (noZS)
      break;
  }
  return meanPosition / e5x5(cluster, recHits, topology);
}
 
//returns mean energy weighted eta/phi in crystals from the seed
//iPhi is not defined for endcap and is returned as zero
//return <eta,phi>
//we have an issue in working out what to do for negative energies
//I (Sam Harper) think it makes sense to ignore crystals with E<0 in the calculation as they are ignored
//in the sigmaIEtaIEta calculation (well they arent fully ignored, they do still contribute to the e5x5 sum
//in the sigmaIEtaIEta calculation but not here)
template <bool noZS>
std::pair<float, float> EcalClusterToolsT<noZS>::mean5x5PositionInLocalCrysCoord(const reco::BasicCluster &cluster,
                                                                                 const EcalRecHitCollection *recHits,
                                                                                 const CaloTopology *topology) {
  DetId seedId = getMaximum(cluster, recHits).first;
  float meanDEta = 0.;
  float meanDPhi = 0.;
  float energySum = 0.;
 
  const std::vector<std::pair<DetId, float>> &hsAndFs = cluster.hitsAndFractions();
  std::vector<DetId> v_id = matrixDetId(topology, seedId, 2);
  for (const std::pair<DetId, float> &hAndF : hsAndFs) {
    for (std::vector<DetId>::const_iterator it = v_id.begin(); it != v_id.end(); ++it) {
      if (hAndF.first != *it && !noZS)
        continue;
      float energy = recHitEnergy(*it, recHits) * hAndF.second;
      if (energy < 0.)
        continue;  //skipping negative energy crystals
      meanDEta += energy * getNrCrysDiffInEta(*it, seedId);
      meanDPhi += energy * getNrCrysDiffInPhi(*it, seedId);
      energySum += energy;
    }
    if (noZS)
      break;
  }
  meanDEta /= energySum;
  meanDPhi /= energySum;
  return std::pair<float, float>(meanDEta, meanDPhi);
}
 
//returns mean energy weighted x/y in normalised crystal coordinates
//only valid for endcap, returns 0,0 for barrel
//we have an issue in working out what to do for negative energies
//I (Sam Harper) think it makes sense to ignore crystals with E<0 in the calculation as they are ignored
//in the sigmaIEtaIEta calculation (well they arent fully ignored, they do still contribute to the e5x5 sum
//in the sigmaIEtaIEta calculation but not here)
template <bool noZS>
std::pair<float, float> EcalClusterToolsT<noZS>::mean5x5PositionInXY(const reco::BasicCluster &cluster,
                                                                     const EcalRecHitCollection *recHits,
                                                                     const CaloTopology *topology) {
  DetId seedId = getMaximum(cluster, recHits).first;
 
  std::pair<float, float> meanXY(0., 0.);
  if (seedId.subdetId() == EcalBarrel)
    return meanXY;
 
  float energySum = 0.;
 
  const std::vector<std::pair<DetId, float>> &hsAndFs = cluster.hitsAndFractions();
  std::vector<DetId> v_id = matrixDetId(topology, seedId, 2);
  for (const std::pair<DetId, float> &hAndF : hsAndFs) {
    for (std::vector<DetId>::const_iterator it = v_id.begin(); it != v_id.end(); ++it) {
      if (hAndF.first != *it && !noZS)
        continue;
      float energy = recHitEnergy(*it, recHits) * hAndF.second;
      if (energy < 0.)
        continue;  //skipping negative energy crystals
      meanXY.first += energy * getNormedIX(*it);
      meanXY.second += energy * getNormedIY(*it);
      energySum += energy;
    }
    if (noZS)
      break;
  }
  meanXY.first /= energySum;
  meanXY.second /= energySum;
  return meanXY;
}
 
template <bool noZS>
std::vector<float> EcalClusterToolsT<noZS>::covariances(const reco::BasicCluster &cluster,
                                                        const EcalRecHitCollection *recHits,
                                                        const CaloTopology *topology,
                                                        const CaloGeometry *geometry,
                                                        float w0) {
  float e_5x5 = e5x5(cluster, recHits, topology);
  float covEtaEta, covEtaPhi, covPhiPhi;
  if (e_5x5 >= 0.) {
    //double w0_ = parameterMap_.find("W0")->second;
    const std::vector<std::pair<DetId, float>> &v_id = cluster.hitsAndFractions();
    math::XYZVector meanPosition = meanClusterPosition(cluster, recHits, topology, geometry);
 
    // now we can calculate the covariances
    double numeratorEtaEta = 0;
    double numeratorEtaPhi = 0;
    double numeratorPhiPhi = 0;
    double denominator = 0;
 
    DetId id = getMaximum(v_id, recHits).first;
    CaloRectangle rectangle{-2, 2, -2, 2};
    for (auto const &detId : rectangle(id, *topology)) {
      float frac = getFraction(v_id, detId);
      float energy = recHitEnergy(detId, recHits) * frac;
 
      if (energy <= 0)
        continue;
 
      const CaloSubdetectorGeometry *geo = geometry->getSubdetectorGeometry(detId);
      GlobalPoint position = geo->getGeometry(detId)->getPosition();
 
      double dPhi = position.phi() - meanPosition.phi();
      if (dPhi > +Geom::pi()) {
        dPhi = Geom::twoPi() - dPhi;
      }
      if (dPhi < -Geom::pi()) {
        dPhi = Geom::twoPi() + dPhi;
      }
 
      double dEta = position.eta() - meanPosition.eta();
      double w = 0.;
      w = std::max(0.0f, w0 + std::log(energy / e_5x5));
 
      denominator += w;
      numeratorEtaEta += w * dEta * dEta;
      numeratorEtaPhi += w * dEta * dPhi;
      numeratorPhiPhi += w * dPhi * dPhi;
    }
 
    if (denominator != 0.0) {
      covEtaEta = numeratorEtaEta / denominator;
      covEtaPhi = numeratorEtaPhi / denominator;
      covPhiPhi = numeratorPhiPhi / denominator;
    } else {
      covEtaEta = 999.9;
      covEtaPhi = 999.9;
      covPhiPhi = 999.9;
    }
 
  } else {
    // Warn the user if there was no energy in the cells and return zeroes.
    //       std::cout << "\ClusterShapeAlgo::Calculate_Covariances:  no energy in supplied cells.\n";
    covEtaEta = 0;
    covEtaPhi = 0;
    covPhiPhi = 0;
  }
  std::vector<float> v;
  v.push_back(covEtaEta);
  v.push_back(covEtaPhi);
  v.push_back(covPhiPhi);
  return v;
}
 
//for covIEtaIEta,covIEtaIPhi and covIPhiIPhi are defined but only covIEtaIEta has been actively studied
//instead of using absolute eta/phi it counts crystals normalised so that it gives identical results to normal covariances except near the cracks where of course its better
//it also does not require any eta correction function in the endcap
//it is multipled by an approprate crystal size to ensure it gives similar values to covariances(...)
template <bool noZS>
std::vector<float> EcalClusterToolsT<noZS>::localCovariances(const reco::BasicCluster &cluster,
                                                             const EcalRecHitCollection *recHits,
                                                             const CaloTopology *topology,
                                                             float w0) {
  float e_5x5 = e5x5(cluster, recHits, topology);
  float covEtaEta, covEtaPhi, covPhiPhi;
 
  if (e_5x5 >= 0.) {
    //double w0_ = parameterMap_.find("W0")->second;
    const std::vector<std::pair<DetId, float>> &v_id = cluster.hitsAndFractions();
    std::pair<float, float> mean5x5PosInNrCrysFromSeed = mean5x5PositionInLocalCrysCoord(cluster, recHits, topology);
    std::pair<float, float> mean5x5XYPos = mean5x5PositionInXY(cluster, recHits, topology);
 
    // now we can calculate the covariances
    double numeratorEtaEta = 0;
    double numeratorEtaPhi = 0;
    double numeratorPhiPhi = 0;
    double denominator = 0;
 
    //these allow us to scale the localCov by the crystal size
    //so that the localCovs have the same average value as the normal covs
    const double barrelCrysSize = 0.01745;  //approximate size of crystal in eta,phi in barrel
    const double endcapCrysSize = 0.0447;   //the approximate crystal size sigmaEtaEta was corrected to in the endcap
 
    DetId seedId = getMaximum(v_id, recHits).first;
 
    bool isBarrel = seedId.subdetId() == EcalBarrel;
    const double crysSize = isBarrel ? barrelCrysSize : endcapCrysSize;
 
    CaloRectangle rectangle{-2, 2, -2, 2};
    for (auto const &detId : rectangle(seedId, *topology)) {
      float frac = getFraction(v_id, detId);
      float energy = recHitEnergy(detId, recHits) * frac;
      if (energy <= 0)
        continue;
 
      float dEta = getNrCrysDiffInEta(detId, seedId) - mean5x5PosInNrCrysFromSeed.first;
      float dPhi = 0;
 
      if (isBarrel)
        dPhi = getNrCrysDiffInPhi(detId, seedId) - mean5x5PosInNrCrysFromSeed.second;
      else
        dPhi = getDPhiEndcap(detId, mean5x5XYPos.first, mean5x5XYPos.second);
 
      double w = std::max(0.0f, w0 + std::log(energy / e_5x5));
 
      denominator += w;
      numeratorEtaEta += w * dEta * dEta;
      numeratorEtaPhi += w * dEta * dPhi;
      numeratorPhiPhi += w * dPhi * dPhi;
    }
 
    //multiplying by crysSize to make the values compariable to normal covariances
    if (denominator != 0.0) {
      covEtaEta = crysSize * crysSize * numeratorEtaEta / denominator;
      covEtaPhi = crysSize * crysSize * numeratorEtaPhi / denominator;
      covPhiPhi = crysSize * crysSize * numeratorPhiPhi / denominator;
    } else {
      covEtaEta = 999.9;
      covEtaPhi = 999.9;
      covPhiPhi = 999.9;
    }
 
  } else {
    // Warn the user if there was no energy in the cells and return zeroes.
    //       std::cout << "\ClusterShapeAlgo::Calculate_Covariances:  no energy in supplied cells.\n";
    covEtaEta = 0;
    covEtaPhi = 0;
    covPhiPhi = 0;
  }
  std::vector<float> v;
  v.push_back(covEtaEta);
  v.push_back(covEtaPhi);
  v.push_back(covPhiPhi);
  return v;
}
 
template <bool noZS>
double EcalClusterToolsT<noZS>::zernike20(const reco::BasicCluster &cluster,
                                          const EcalRecHitCollection *recHits,
                                          const CaloGeometry *geometry,
                                          double R0,
                                          bool logW,
                                          float w0) {
  return absZernikeMoment(cluster, recHits, geometry, 2, 0, R0, logW, w0);
}
 
template <bool noZS>
double EcalClusterToolsT<noZS>::zernike42(const reco::BasicCluster &cluster,
                                          const EcalRecHitCollection *recHits,
                                          const CaloGeometry *geometry,
                                          double R0,
                                          bool logW,
                                          float w0) {
  return absZernikeMoment(cluster, recHits, geometry, 4, 2, R0, logW, w0);
}
 
template <bool noZS>
double EcalClusterToolsT<noZS>::absZernikeMoment(const reco::BasicCluster &cluster,
                                                 const EcalRecHitCollection *recHits,
                                                 const CaloGeometry *geometry,
                                                 int n,
                                                 int m,
                                                 double R0,
                                                 bool logW,
                                                 float w0) {
  // 1. Check if n,m are correctly
  if ((m > n) || ((n - m) % 2 != 0) || (n < 0) || (m < 0))
    return -1;
 
  // 2. Check if n,R0 are within validity Range :
  // n>20 or R0<2.19cm  just makes no sense !
  if ((n > 20) || (R0 <= 2.19))
    return -1;
  if (n <= 5)
    return fast_AbsZernikeMoment(cluster, recHits, geometry, n, m, R0, logW, w0);
  else
    return calc_AbsZernikeMoment(cluster, recHits, geometry, n, m, R0, logW, w0);
}
 
template <bool noZS>
double EcalClusterToolsT<noZS>::fast_AbsZernikeMoment(const reco::BasicCluster &cluster,
                                                      const EcalRecHitCollection *recHits,
                                                      const CaloGeometry *geometry,
                                                      int n,
                                                      int m,
                                                      double R0,
                                                      bool logW,
                                                      float w0) {
  double r, ph, e, Re = 0, Im = 0;
  double TotalEnergy = cluster.energy();
  int index = (n / 2) * (n / 2) + (n / 2) + m;
  std::vector<EcalClusterEnergyDeposition> energyDistribution =
      getEnergyDepTopology(cluster, recHits, geometry, logW, w0);
  int clusterSize = energyDistribution.size();
  if (clusterSize < 3)
    return 0.0;
 
  for (int i = 0; i < clusterSize; i++) {
    r = energyDistribution[i].r / R0;
    if (r < 1) {
      std::vector<double> pol;
      pol.push_back(f00(r));
      pol.push_back(f11(r));
      pol.push_back(f20(r));
      pol.push_back(f22(r));
      pol.push_back(f31(r));
      pol.push_back(f33(r));
      pol.push_back(f40(r));
      pol.push_back(f42(r));
      pol.push_back(f44(r));
      pol.push_back(f51(r));
      pol.push_back(f53(r));
      pol.push_back(f55(r));
      ph = (energyDistribution[i]).phi;
      e = energyDistribution[i].deposited_energy;
      Re = Re + e / TotalEnergy * pol[index] * cos((double)m * ph);
      Im = Im - e / TotalEnergy * pol[index] * sin((double)m * ph);
    }
  }
  return sqrt(Re * Re + Im * Im);
}
 
template <bool noZS>
double EcalClusterToolsT<noZS>::calc_AbsZernikeMoment(const reco::BasicCluster &cluster,
                                                      const EcalRecHitCollection *recHits,
                                                      const CaloGeometry *geometry,
                                                      int n,
                                                      int m,
                                                      double R0,
                                                      bool logW,
                                                      float w0) {
  double r, ph, e, Re = 0, Im = 0, f_nm;
  double TotalEnergy = cluster.energy();
  std::vector<EcalClusterEnergyDeposition> energyDistribution =
      getEnergyDepTopology(cluster, recHits, geometry, logW, w0);
  int clusterSize = energyDistribution.size();
  if (clusterSize < 3)
    return 0.0;
 
  for (int i = 0; i < clusterSize; ++i) {
    r = energyDistribution[i].r / R0;
    if (r < 1) {
      ph = energyDistribution[i].phi;
      e = energyDistribution[i].deposited_energy;
      f_nm = 0;
      for (int s = 0; s <= (n - m) / 2; s++) {
        if (s % 2 == 0) {
          f_nm = f_nm + factorial(n - s) * pow(r, (double)(n - 2 * s)) /
                            (factorial(s) * factorial((n + m) / 2 - s) * factorial((n - m) / 2 - s));
        } else {
          f_nm = f_nm - factorial(n - s) * pow(r, (double)(n - 2 * s)) /
                            (factorial(s) * factorial((n + m) / 2 - s) * factorial((n - m) / 2 - s));
        }
      }
      Re = Re + e / TotalEnergy * f_nm * cos((double)m * ph);
      Im = Im - e / TotalEnergy * f_nm * sin((double)m * ph);
    }
  }
  return sqrt(Re * Re + Im * Im);
}
 
//returns the crystal 'eta' from the det id
//it is defined as the number of crystals from the centre in the eta direction
//for the barrel with its eta/phi geometry it is always integer
//for the endcap it is fractional due to the x/y geometry
template <bool noZS>
float EcalClusterToolsT<noZS>::getIEta(const DetId &id) {
  if (id.det() == DetId::Ecal) {
    if (id.subdetId() == EcalBarrel) {
      EBDetId ebId(id);
      return ebId.ieta();
    } else if (id.subdetId() == EcalEndcap) {
      float iXNorm = getNormedIX(id);
      float iYNorm = getNormedIY(id);
 
      return std::sqrt(iXNorm * iXNorm + iYNorm * iYNorm);
    }
  }
  return 0.;
}
 
//returns the crystal 'phi' from the det id
//it is defined as the number of crystals from the centre in the phi direction
//for the barrel with its eta/phi geometry it is always integer
//for the endcap it is not defined
template <bool noZS>
float EcalClusterToolsT<noZS>::getIPhi(const DetId &id) {
  if (id.det() == DetId::Ecal) {
    if (id.subdetId() == EcalBarrel) {
      EBDetId ebId(id);
      return ebId.iphi();
    }
  }
  return 0.;
}
 
//want to map 1=-50,50=-1,51=1 and 100 to 50 so sub off one if zero or neg
template <bool noZS>
float EcalClusterToolsT<noZS>::getNormedIX(const DetId &id) {
  if (id.det() == DetId::Ecal && id.subdetId() == EcalEndcap) {
    EEDetId eeId(id);
    int iXNorm = eeId.ix() - 50;
    if (iXNorm <= 0)
      iXNorm--;
    return iXNorm;
  }
  return 0;
}
 
//want to map 1=-50,50=-1,51=1 and 100 to 50 so sub off one if zero or neg
template <bool noZS>
float EcalClusterToolsT<noZS>::getNormedIY(const DetId &id) {
  if (id.det() == DetId::Ecal && id.subdetId() == EcalEndcap) {
    EEDetId eeId(id);
    int iYNorm = eeId.iy() - 50;
    if (iYNorm <= 0)
      iYNorm--;
    return iYNorm;
  }
  return 0;
}
 
//nr crystals crysId is away from orgin id in eta
template <bool noZS>
float EcalClusterToolsT<noZS>::getNrCrysDiffInEta(const DetId &crysId, const DetId &orginId) {
  float crysIEta = getIEta(crysId);
  float orginIEta = getIEta(orginId);
  bool isBarrel = orginId.subdetId() == EcalBarrel;
 
  float nrCrysDiff = crysIEta - orginIEta;
 
  //no iEta=0 in barrel, so if go from positive to negative
  //need to reduce abs(detEta) by 1
  if (isBarrel) {
    if (crysIEta * orginIEta < 0) {  // -1 to 1 transition
      if (crysIEta > 0)
        nrCrysDiff--;
      else
        nrCrysDiff++;
    }
  }
  return nrCrysDiff;
}
 
//nr crystals crysId is away from orgin id in phi
template <bool noZS>
float EcalClusterToolsT<noZS>::getNrCrysDiffInPhi(const DetId &crysId, const DetId &orginId) {
  float crysIPhi = getIPhi(crysId);
  float orginIPhi = getIPhi(orginId);
  bool isBarrel = orginId.subdetId() == EcalBarrel;
 
  float nrCrysDiff = crysIPhi - orginIPhi;
 
  if (isBarrel) {  //if barrel, need to map into 0-180
    if (nrCrysDiff > +180) {
      nrCrysDiff = nrCrysDiff - 360;
    }
    if (nrCrysDiff < -180) {
      nrCrysDiff = nrCrysDiff + 360;
    }
  }
  return nrCrysDiff;
}
 
//nr crystals crysId is away from mean phi in 5x5 in phi
template <bool noZS>
float EcalClusterToolsT<noZS>::getDPhiEndcap(const DetId &crysId, float meanX, float meanY) {
  float iXNorm = getNormedIX(crysId);
  float iYNorm = getNormedIY(crysId);
 
  float hitLocalR2 = (iXNorm - meanX) * (iXNorm - meanX) + (iYNorm - meanY) * (iYNorm - meanY);
  float hitR2 = iXNorm * iXNorm + iYNorm * iYNorm;
  float meanR2 = meanX * meanX + meanY * meanY;
  float hitR = sqrt(hitR2);
  float meanR = sqrt(meanR2);
 
  float tmp = (hitR2 + meanR2 - hitLocalR2) / (2 * hitR * meanR);
  if (tmp < -1)
    tmp = -1;
  if (tmp > 1)
    tmp = 1;
  float phi = acos(tmp);
  float dPhi = hitR * phi;
 
  return dPhi;
}
 
template <bool noZS>
std::vector<float> EcalClusterToolsT<noZS>::scLocalCovariances(const reco::SuperCluster &cluster,
                                                               const EcalRecHitCollection *recHits,
                                                               const CaloTopology *topology,
                                                               float w0) {
  const reco::BasicCluster bcluster = *(cluster.seed());
 
  float e_5x5 = e5x5(bcluster, recHits, topology);
  float covEtaEta, covEtaPhi, covPhiPhi;
 
  if (e_5x5 >= 0.) {
    const std::vector<std::pair<DetId, float>> &v_id = cluster.hitsAndFractions();
    std::pair<float, float> mean5x5PosInNrCrysFromSeed = mean5x5PositionInLocalCrysCoord(bcluster, recHits, topology);
    std::pair<float, float> mean5x5XYPos = mean5x5PositionInXY(cluster, recHits, topology);
    // now we can calculate the covariances
    double numeratorEtaEta = 0;
    double numeratorEtaPhi = 0;
    double numeratorPhiPhi = 0;
    double denominator = 0;
 
    const double barrelCrysSize = 0.01745;  //approximate size of crystal in eta,phi in barrel
    const double endcapCrysSize = 0.0447;   //the approximate crystal size sigmaEtaEta was corrected to in the endcap
 
    DetId seedId = getMaximum(v_id, recHits).first;
    bool isBarrel = seedId.subdetId() == EcalBarrel;
 
    const double crysSize = isBarrel ? barrelCrysSize : endcapCrysSize;
 
    for (size_t i = 0; i < v_id.size(); ++i) {
      float frac = getFraction(v_id, v_id[i].first);
      float energy = recHitEnergy(v_id[i].first, recHits) * frac;
 
      if (energy <= 0)
        continue;
 
      float dEta = getNrCrysDiffInEta(v_id[i].first, seedId) - mean5x5PosInNrCrysFromSeed.first;
      float dPhi = 0;
      if (isBarrel)
        dPhi = getNrCrysDiffInPhi(v_id[i].first, seedId) - mean5x5PosInNrCrysFromSeed.second;
      else
        dPhi = getDPhiEndcap(v_id[i].first, mean5x5XYPos.first, mean5x5XYPos.second);
 
      double w = 0.;
      w = std::max(0.0f, w0 + std::log(energy / e_5x5));
 
      denominator += w;
      numeratorEtaEta += w * dEta * dEta;
      numeratorEtaPhi += w * dEta * dPhi;
      numeratorPhiPhi += w * dPhi * dPhi;
    }
 
    //multiplying by crysSize to make the values compariable to normal covariances
    if (denominator != 0.0) {
      covEtaEta = crysSize * crysSize * numeratorEtaEta / denominator;
      covEtaPhi = crysSize * crysSize * numeratorEtaPhi / denominator;
      covPhiPhi = crysSize * crysSize * numeratorPhiPhi / denominator;
    } else {
      covEtaEta = 999.9;
      covEtaPhi = 999.9;
      covPhiPhi = 999.9;
    }
 
  } else {
    // Warn the user if there was no energy in the cells and return zeroes.
    // std::cout << "\ClusterShapeAlgo::Calculate_Covariances:  no energy in supplied cells.\n";
    covEtaEta = 0;
    covEtaPhi = 0;
    covPhiPhi = 0;
  }
 
  std::vector<float> v;
  v.push_back(covEtaEta);
  v.push_back(covEtaPhi);
  v.push_back(covPhiPhi);
 
  return v;
}
 
// compute cluster second moments with respect to principal axes (eigenvectors of sEtaEta, sPhiPhi, sEtaPhi matrix)
// store also angle alpha between major axis and phi.
// takes into account shower elongation in phi direction due to magnetic field effect:
// default value of 0.8 ensures sMaj = sMin for unconverted photons
// (if phiCorrectionFactor=1 sMaj > sMin and alpha=0 also for unconverted photons)
template <bool noZS>
Cluster2ndMoments EcalClusterToolsT<noZS>::cluster2ndMoments(const reco::BasicCluster &basicCluster,
                                                             const EcalRecHitCollection &recHits,
                                                             double phiCorrectionFactor,
                                                             double w0,
                                                             bool useLogWeights) {
  if (recHits.empty())
    return Cluster2ndMoments();
 
  std::vector<std::pair<const EcalRecHit *, float>> RH_ptrs_fracs;
 
  const std::vector<std::pair<DetId, float>> &myHitsPair = basicCluster.hitsAndFractions();
 
  for (unsigned int i = 0; i < myHitsPair.size(); i++) {
    //get pointer to recHit object
    EcalRecHitCollection::const_iterator myRH = recHits.find(myHitsPair[i].first);
    if (myRH != recHits.end()) {
      RH_ptrs_fracs.push_back(std::make_pair(&(*myRH), myHitsPair[i].second));
    }
  }
 
  return EcalClusterToolsT<noZS>::cluster2ndMoments(RH_ptrs_fracs, phiCorrectionFactor, w0, useLogWeights);
}
 
template <bool noZS>
Cluster2ndMoments EcalClusterToolsT<noZS>::cluster2ndMoments(const reco::SuperCluster &superCluster,
                                                             const EcalRecHitCollection &recHits,
                                                             double phiCorrectionFactor,
                                                             double w0,
                                                             bool useLogWeights) {
  return EcalClusterToolsT<noZS>::cluster2ndMoments(
      *(superCluster.seed()), recHits, phiCorrectionFactor, w0, useLogWeights);
}
 
template <bool noZS>
Cluster2ndMoments EcalClusterToolsT<noZS>::cluster2ndMoments(
    const std::vector<std::pair<const EcalRecHit *, float>> &RH_ptrs_fracs,
    double phiCorrectionFactor,
    double w0,
    bool useLogWeights) {
  if (RH_ptrs_fracs.empty())
    return Cluster2ndMoments();
 
  double mid_eta(0), mid_phi(0), mid_x(0), mid_y(0);
 
  double Etot = EcalClusterToolsT<noZS>::getSumEnergy(RH_ptrs_fracs);
 
  double max_phi = -10.;
  double min_phi = 100.;
 
  std::vector<double> etaDetId;
  std::vector<double> phiDetId;
  std::vector<double> xDetId;
  std::vector<double> yDetId;
  std::vector<double> wiDetId;
 
  unsigned int nCry = 0;
  double denominator = 0.;
  bool isBarrel(true);
 
  // loop over rechits and compute weights:
  for (std::vector<std::pair<const EcalRecHit *, float>>::const_iterator rhf_ptr = RH_ptrs_fracs.begin();
       rhf_ptr != RH_ptrs_fracs.end();
       rhf_ptr++) {
    const EcalRecHit *rh_ptr = rhf_ptr->first;
 
    //get iEta, iPhi
    double temp_eta(0), temp_phi(0), temp_x(0), temp_y(0);
    isBarrel = rh_ptr->detid().subdetId() == EcalBarrel;
 
    if (isBarrel) {
      temp_eta = (getIEta(rh_ptr->detid()) > 0. ? getIEta(rh_ptr->detid()) + 84.5 : getIEta(rh_ptr->detid()) + 85.5);
      temp_phi = getIPhi(rh_ptr->detid()) - 0.5;
    } else {
      temp_eta = getIEta(rh_ptr->detid());
      temp_x = getNormedIX(rh_ptr->detid());
      temp_y = getNormedIY(rh_ptr->detid());
    }
 
    double temp_ene = rh_ptr->energy() * (noZS ? 1.0 : rhf_ptr->second);
 
    double temp_wi = ((useLogWeights) ? std::max(0.0, w0 + std::log(std::abs(temp_ene) / Etot)) : temp_ene);
 
    if (temp_phi > max_phi)
      max_phi = temp_phi;
    if (temp_phi < min_phi)
      min_phi = temp_phi;
    etaDetId.push_back(temp_eta);
    phiDetId.push_back(temp_phi);
    xDetId.push_back(temp_x);
    yDetId.push_back(temp_y);
    wiDetId.push_back(temp_wi);
    denominator += temp_wi;
    nCry++;
  }
 
  if (isBarrel) {
    // correct phi wrap-around:
    if (max_phi == 359.5 && min_phi == 0.5) {
      for (unsigned int i = 0; i < nCry; i++) {
        if (phiDetId[i] - 179. > 0.)
          phiDetId[i] -= 360.;
        mid_phi += phiDetId[i] * wiDetId[i];
        mid_eta += etaDetId[i] * wiDetId[i];
      }
    } else {
      for (unsigned int i = 0; i < nCry; i++) {
        mid_phi += phiDetId[i] * wiDetId[i];
        mid_eta += etaDetId[i] * wiDetId[i];
      }
    }
  } else {
    for (unsigned int i = 0; i < nCry; i++) {
      mid_eta += etaDetId[i] * wiDetId[i];
      mid_x += xDetId[i] * wiDetId[i];
      mid_y += yDetId[i] * wiDetId[i];
    }
  }
 
  mid_eta /= denominator;
  mid_phi /= denominator;
  mid_x /= denominator;
  mid_y /= denominator;
 
  // See = sigma eta eta
  // Spp = (B field corrected) sigma phi phi
  // See = (B field corrected) sigma eta phi
  double See = 0.;
  double Spp = 0.;
  double Sep = 0.;
  double deta(0), dphi(0);
  // compute (phi-corrected) covariance matrix:
  for (unsigned int i = 0; i < nCry; i++) {
    if (isBarrel) {
      deta = etaDetId[i] - mid_eta;
      dphi = phiDetId[i] - mid_phi;
    } else {
      deta = etaDetId[i] - mid_eta;
      float hitLocalR2 = (xDetId[i] - mid_x) * (xDetId[i] - mid_x) + (yDetId[i] - mid_y) * (yDetId[i] - mid_y);
      float hitR2 = xDetId[i] * xDetId[i] + yDetId[i] * yDetId[i];
      float meanR2 = mid_x * mid_x + mid_y * mid_y;
      float hitR = sqrt(hitR2);
      float meanR = sqrt(meanR2);
      float phi = acos((hitR2 + meanR2 - hitLocalR2) / (2 * hitR * meanR));
      dphi = hitR * phi;
    }
    See += (wiDetId[i] * deta * deta) / denominator;
    Spp += phiCorrectionFactor * (wiDetId[i] * dphi * dphi) / denominator;
    Sep += sqrt(phiCorrectionFactor) * (wiDetId[i] * deta * dphi) / denominator;
  }
 
  Cluster2ndMoments returnMoments;
 
  // compute matrix eigenvalues:
  returnMoments.sMaj = ((See + Spp) + sqrt((See - Spp) * (See - Spp) + 4. * Sep * Sep)) / 2.;
  returnMoments.sMin = ((See + Spp) - sqrt((See - Spp) * (See - Spp) + 4. * Sep * Sep)) / 2.;
 
  returnMoments.alpha = atan((See - Spp + sqrt((Spp - See) * (Spp - See) + 4. * Sep * Sep)) / (2. * Sep));
 
  return returnMoments;
}
 
//compute shower shapes: roundness and angle in a vector. Roundness is 0th element, Angle is 1st element.
//description: uses classical mechanics inertia tensor.
//             roundness is smaller_eValue/larger_eValue
//             angle is the angle from the iEta axis to the smallest eVector (a.k.a. the shower's elongated axis)
// this function uses only recHits belonging to a SC above energyThreshold (default 0)
// you can select linear weighting = energy_recHit/total_energy         (weightedPositionMethod=0) default
// or log weighting = max( 0.0, 4.2 + log(energy_recHit/total_energy) ) (weightedPositionMethod=1)
template <bool noZS>
std::vector<float> EcalClusterToolsT<noZS>::roundnessBarrelSuperClusters(
    const reco::SuperCluster &superCluster,
    const EcalRecHitCollection &recHits,
    int weightedPositionMethod,
    float energyThreshold) {  //int positionWeightingMethod=0){
  std::vector<std::pair<const EcalRecHit *, float>> RH_ptrs_fracs;
  const std::vector<std::pair<DetId, float>> &myHitsPair = superCluster.hitsAndFractions();
  for (unsigned int i = 0; i < myHitsPair.size(); ++i) {
    //get pointer to recHit object
    EcalRecHitCollection::const_iterator myRH = recHits.find(myHitsPair[i].first);
    if (myRH != recHits.end() && myRH->energy() * (noZS ? 1.0 : myHitsPair[i].second) > energyThreshold) {
      //require rec hit to have positive energy
      RH_ptrs_fracs.push_back(std::make_pair(&(*myRH), myHitsPair[i].second));
    }
  }
  std::vector<float> temp =
      EcalClusterToolsT<noZS>::roundnessSelectedBarrelRecHits(RH_ptrs_fracs, weightedPositionMethod);
  return temp;
}
 
// this function uses all recHits within specified window ( with default values ieta_delta=2, iphi_delta=5) around SC's highest recHit.
// recHits must pass an energy threshold "energyRHThresh" (default 0)
// you can select linear weighting = energy_recHit/total_energy         (weightedPositionMethod=0)
// or log weighting = max( 0.0, 4.2 + log(energy_recHit/total_energy) ) (weightedPositionMethod=1)
template <bool noZS>
std::vector<float> EcalClusterToolsT<noZS>::roundnessBarrelSuperClustersUserExtended(
    const reco::SuperCluster &superCluster,
    const EcalRecHitCollection &recHits,
    int ieta_delta,
    int iphi_delta,
    float energyRHThresh,
    int weightedPositionMethod) {
  std::vector<std::pair<const EcalRecHit *, float>> RH_ptrs_fracs;
  const std::vector<std::pair<DetId, float>> &myHitsPair = superCluster.hitsAndFractions();
  for (unsigned int i = 0; i < myHitsPair.size(); ++i) {
    //get pointer to recHit object
    EcalRecHitCollection::const_iterator myRH = recHits.find(myHitsPair[i].first);
    if (myRH != recHits.end() && myRH->energy() * (noZS ? 1.0 : myHitsPair[i].second) > energyRHThresh)
      RH_ptrs_fracs.push_back(std::make_pair(&(*myRH), myHitsPair[i].second));
  }
 
  std::vector<int> seedPosition = EcalClusterToolsT<noZS>::getSeedPosition(RH_ptrs_fracs);
 
  for (EcalRecHitCollection::const_iterator rh = recHits.begin(); rh != recHits.end(); rh++) {
    EBDetId EBdetIdi(rh->detid());
    float the_fraction = 0;
    //if(rh != recHits.end())
    bool inEtaWindow = (abs(deltaIEta(seedPosition[0], EBdetIdi.ieta())) <= ieta_delta);
    bool inPhiWindow = (abs(deltaIPhi(seedPosition[1], EBdetIdi.iphi())) <= iphi_delta);
    bool passEThresh = (rh->energy() > energyRHThresh);
    bool alreadyCounted = false;
 
    // figure out if the rechit considered now is already inside the SC
    bool is_SCrh_inside_recHits = false;
    for (unsigned int i = 0; i < myHitsPair.size(); i++) {
      EcalRecHitCollection::const_iterator SCrh = recHits.find(myHitsPair[i].first);
      if (SCrh != recHits.end()) {
        the_fraction = myHitsPair[i].second;
        is_SCrh_inside_recHits = true;
        if (rh->detid() == SCrh->detid())
          alreadyCounted = true;
      }
    }  //for loop over SC's recHits
 
    if (is_SCrh_inside_recHits && !alreadyCounted && passEThresh && inEtaWindow && inPhiWindow) {
      RH_ptrs_fracs.push_back(std::make_pair(&(*rh), the_fraction));
    }
 
  }  //for loop over rh
  return EcalClusterToolsT<noZS>::roundnessSelectedBarrelRecHits(RH_ptrs_fracs, weightedPositionMethod);
}
 
// this function computes the roundness and angle variables for vector of pointers to recHits you pass it
// you can select linear weighting = energy_recHit/total_energy         (weightedPositionMethod=0)
// or log weighting = max( 0.0, 4.2 + log(energy_recHit/total_energy) ) (weightedPositionMethod=1)
template <bool noZS>
std::vector<float> EcalClusterToolsT<noZS>::roundnessSelectedBarrelRecHits(
    const std::vector<std::pair<const EcalRecHit *, float>> &RH_ptrs_fracs,
    int weightedPositionMethod) {  //int weightedPositionMethod = 0){
  //positionWeightingMethod = 0 linear weighting, 1 log energy weighting
 
  std::vector<float> shapes;  // this is the returning vector
 
  //make sure photon has more than one crystal; else roundness and angle suck
  if (RH_ptrs_fracs.size() < 2) {
    shapes.push_back(-3);
    shapes.push_back(-3);
    return shapes;
  }
 
  //Find highest E RH (Seed) and save info, compute sum total energy used
  std::vector<int> seedPosition = EcalClusterToolsT<noZS>::getSeedPosition(RH_ptrs_fracs);  // *recHits);
  int tempInt = seedPosition[0];
  if (tempInt < 0)
    tempInt++;
  float energyTotal = EcalClusterToolsT<noZS>::getSumEnergy(RH_ptrs_fracs);
 
  //1st loop over rechits: compute new weighted center position in coordinates centered on seed
  float centerIEta = 0.;
  float centerIPhi = 0.;
  float denominator = 0.;
 
  for (std::vector<std::pair<const EcalRecHit *, float>>::const_iterator rhf_ptr = RH_ptrs_fracs.begin();
       rhf_ptr != RH_ptrs_fracs.end();
       rhf_ptr++) {
    const EcalRecHit *rh_ptr = rhf_ptr->first;
    //get iEta, iPhi
    EBDetId EBdetIdi(rh_ptr->detid());
    if (fabs(energyTotal) < 0.0001) {
      // don't /0, bad!
      shapes.push_back(-2);
      shapes.push_back(-2);
      return shapes;
    }
    float rh_energy = rh_ptr->energy() * (noZS ? 1.0 : rhf_ptr->second);
    float weight = 0;
    if (std::abs(weightedPositionMethod) < 0.0001) {  //linear
      weight = rh_energy / energyTotal;
    } else {  //logrithmic
      weight = std::max(0.0, 4.2 + log(rh_energy / energyTotal));
    }
    denominator += weight;
    centerIEta += weight * deltaIEta(seedPosition[0], EBdetIdi.ieta());
    centerIPhi += weight * deltaIPhi(seedPosition[1], EBdetIdi.iphi());
  }
  if (fabs(denominator) < 0.0001) {
    // don't /0, bad!
    shapes.push_back(-2);
    shapes.push_back(-2);
    return shapes;
  }
  centerIEta = centerIEta / denominator;
  centerIPhi = centerIPhi / denominator;
 
  //2nd loop over rechits: compute inertia tensor
  TMatrixDSym inertia(2);  //initialize 2d inertia tensor
  double inertia00 = 0.;
  double inertia01 = 0.;  // = inertia10 b/c matrix should be symmetric
  double inertia11 = 0.;
  int i = 0;
  for (std::vector<std::pair<const EcalRecHit *, float>>::const_iterator rhf_ptr = RH_ptrs_fracs.begin();
       rhf_ptr != RH_ptrs_fracs.end();
       rhf_ptr++) {
    const EcalRecHit *rh_ptr = rhf_ptr->first;
    //get iEta, iPhi
    EBDetId EBdetIdi(rh_ptr->detid());
 
    if (fabs(energyTotal) < 0.0001) {
      // don't /0, bad!
      shapes.push_back(-2);
      shapes.push_back(-2);
      return shapes;
    }
    float rh_energy = rh_ptr->energy() * (noZS ? 1.0 : rhf_ptr->second);
    float weight = 0;
    if (std::abs(weightedPositionMethod) < 0.0001) {  //linear
      weight = rh_energy / energyTotal;
    } else {  //logrithmic
      weight = std::max(0.0, 4.2 + log(rh_energy / energyTotal));
    }
 
    float ieta_rh_to_center = deltaIEta(seedPosition[0], EBdetIdi.ieta()) - centerIEta;
    float iphi_rh_to_center = deltaIPhi(seedPosition[1], EBdetIdi.iphi()) - centerIPhi;
 
    inertia00 += weight * iphi_rh_to_center * iphi_rh_to_center;
    inertia01 -= weight * iphi_rh_to_center * ieta_rh_to_center;
    inertia11 += weight * ieta_rh_to_center * ieta_rh_to_center;
    i++;
  }
 
  inertia[0][0] = inertia00;
  inertia[0][1] = inertia01;  // use same number here
  inertia[1][0] = inertia01;  // and here to insure symmetry
  inertia[1][1] = inertia11;
 
  //step 1 find principal axes of inertia
  TMatrixD eVectors(2, 2);
  TVectorD eValues(2);
  //std::cout<<"EcalClusterToolsT<noZS>::showerRoundness- about to compute eVectors"<<std::endl;
  eVectors = inertia.EigenVectors(eValues);  //ordered highest eV to lowest eV (I checked!)
  //and eVectors are in columns of matrix! I checked!
  //and they are normalized to 1
 
  //step 2 select eta component of smaller eVal's eVector
  TVectorD smallerAxis(2);          //easiest to spin SC on this axis (smallest eVal)
  smallerAxis[0] = eVectors[0][1];  //row,col  //eta component
  smallerAxis[1] = eVectors[1][1];  //phi component
 
  //step 3 compute interesting quatities
  Double_t temp = fabs(smallerAxis[0]);  // closer to 1 ->beamhalo, closer to 0 something else
  if (fabs(eValues[0]) < 0.0001) {
    // don't /0, bad!
    shapes.push_back(-2);
    shapes.push_back(-2);
    return shapes;
  }
 
  float Roundness = eValues[1] / eValues[0];
  float Angle = acos(temp);
 
  if (-0.00001 < Roundness && Roundness < 0)
    Roundness = 0.;
  if (-0.00001 < Angle && Angle < 0)
    Angle = 0.;
 
  shapes.push_back(Roundness);
  shapes.push_back(Angle);
  return shapes;
}
 
template <bool noZS>
int EcalClusterToolsT<noZS>::nrSaturatedCrysIn5x5(const DetId &id,
                                                  const EcalRecHitCollection *recHits,
                                                  const CaloTopology *topology) {
  int nrSat = 0;
  CaloRectangle rectangle{-2, 2, -2, 2};
  for (auto const &detId : rectangle(id, *topology)) {
    auto recHitIt = recHits->find(detId);
    if (recHitIt != recHits->end() && recHitIt->checkFlag(EcalRecHit::kSaturated)) {
      nrSat++;
    }
  }
  return nrSat;
}
 
//private functions useful for roundnessBarrelSuperClusters etc.
//compute delta iphi between a seed and a particular recHit
//iphi [1,360]
//safe gaurds are put in to ensure the difference is between [-180,180]
template <bool noZS>
int EcalClusterToolsT<noZS>::deltaIPhi(int seed_iphi, int rh_iphi) {
  int rel_iphi = rh_iphi - seed_iphi;
  // take care of cyclic variable iphi [1,360]
  if (rel_iphi > 180)
    rel_iphi = rel_iphi - 360;
  if (rel_iphi < -180)
    rel_iphi = rel_iphi + 360;
  return rel_iphi;
}
 
//compute delta ieta between a seed and a particular recHit
//ieta [-85,-1] and [1,85]
//safe gaurds are put in to shift the negative ieta +1 to make an ieta=0 so differences are computed correctly
template <bool noZS>
int EcalClusterToolsT<noZS>::deltaIEta(int seed_ieta, int rh_ieta) {
  // get rid of the fact that there is no ieta=0
  if (seed_ieta < 0)
    seed_ieta++;
  if (rh_ieta < 0)
    rh_ieta++;
  int rel_ieta = rh_ieta - seed_ieta;
  return rel_ieta;
}
 
//return (ieta,iphi) of highest energy recHit of the recHits passed to this function
template <bool noZS>
std::vector<int> EcalClusterToolsT<noZS>::getSeedPosition(
    const std::vector<std::pair<const EcalRecHit *, float>> &RH_ptrs_fracs) {
  std::vector<int> seedPosition;
  float eSeedRH = 0;
  int iEtaSeedRH = 0;
  int iPhiSeedRH = 0;
 
  for (auto const &rhf : RH_ptrs_fracs) {
    const EcalRecHit *rh_ptr = rhf.first;
    //get iEta, iPhi
    EBDetId EBdetIdi(rh_ptr->detid());
    float rh_energy = rh_ptr->energy() * (noZS ? 1.0 : rhf.second);
 
    if (eSeedRH < rh_energy) {
      eSeedRH = rh_energy;
      iEtaSeedRH = EBdetIdi.ieta();
      iPhiSeedRH = EBdetIdi.iphi();
    }
 
  }  // for loop
 
  seedPosition.push_back(iEtaSeedRH);
  seedPosition.push_back(iPhiSeedRH);
  return seedPosition;
}
 
// return the total energy of the recHits passed to this function
template <bool noZS>
float EcalClusterToolsT<noZS>::getSumEnergy(const std::vector<std::pair<const EcalRecHit *, float>> &RH_ptrs_fracs) {
  float sumE = 0.;
  for (const auto &hAndF : RH_ptrs_fracs) {
    sumE += hAndF.first->energy() * (noZS ? 1.0 : hAndF.second);
  }
  return sumE;
}
 
typedef EcalClusterToolsT<false> EcalClusterTools;
 
namespace noZS {
  typedef EcalClusterToolsT<true> EcalClusterTools;
}
 
#endif