CSCSegAlgoTC.cc

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#include "CSCSegAlgoTC.h"
#include "CSCSegFit.h"
 
#include "DataFormats/CSCRecHit/interface/CSCSegment.h"
#include "DataFormats/GeometryVector/interface/GlobalPoint.h"
 
#include "Geometry/CSCGeometry/interface/CSCLayer.h"
 
#include "FWCore/ParameterSet/interface/ParameterSet.h"
#include "FWCore/MessageLogger/interface/MessageLogger.h"
 
#include "CommonTools/Statistics/interface/ChiSquaredProbability.h"
 
#include <algorithm>
#include <cmath>
#include <iostream>
#include <string>
 
CSCSegAlgoTC::CSCSegAlgoTC(const edm::ParameterSet& ps)
    : CSCSegmentAlgorithm(ps), sfit_(nullptr), myName("CSCSegAlgoTC") {
  debugInfo = ps.getUntrackedParameter<bool>("verboseInfo");
 
  dRPhiMax = ps.getParameter<double>("dRPhiMax");
  dPhiMax = ps.getParameter<double>("dPhiMax");
  dRPhiFineMax = ps.getParameter<double>("dRPhiFineMax");
  dPhiFineMax = ps.getParameter<double>("dPhiFineMax");
  chi2Max = ps.getParameter<double>("chi2Max");
  chi2ndfProbMin = ps.getParameter<double>("chi2ndfProbMin");
  minLayersApart = ps.getParameter<int>("minLayersApart");
  SegmentSorting = ps.getParameter<int>("SegmentSorting");
 
  LogDebug("CSC") << myName << " has algorithm cuts set to: \n"
                  << "--------------------------------------------------------------------\n"
                  << "dRPhiMax     = " << dRPhiMax << '\n'
                  << "dPhiMax      = " << dPhiMax << '\n'
                  << "dRPhiFineMax = " << dRPhiFineMax << '\n'
                  << "dPhiFineMax  = " << dPhiFineMax << '\n'
                  << "chi2Max      = " << chi2Max << '\n'
                  << "chi2ndfProbMin = " << chi2ndfProbMin << '\n'
                  << "minLayersApart = " << minLayersApart << '\n'
                  << "SegmentSorting = " << SegmentSorting << std::endl;
}
 
std::vector<CSCSegment> CSCSegAlgoTC::run(const CSCChamber* aChamber, const ChamberHitContainer& rechits) {
  theChamber = aChamber;
 
  return buildSegments(rechits);
}
 
std::vector<CSCSegment> CSCSegAlgoTC::buildSegments(const ChamberHitContainer& urechits) {
  //  ChamberHitContainer rechits = urechits;
  ChamberHitContainer rechits(urechits);
 
  //  edm::LogVerbatim("CSCSegment") << "[CSCSegAlgoTC::buildSegments] start building segments in " << theChamber->id();
  //  edm::LogVerbatim("CSCSegment") << "[CSCSegAlgoTC::buildSegments] size of rechit container = " << rechits.size();
 
  if (rechits.size() < 2) {
    LogDebug("CSC") << myName << ": " << rechits.size() << "     hit(s) in chamber is not enough to build a segment.\n";
    return std::vector<CSCSegment>();
  }
 
  LayerIndex layerIndex(rechits.size());
 
  for (size_t i = 0; i < rechits.size(); ++i) {
    short ilay = rechits[i]->cscDetId().layer();
    layerIndex[i] = ilay;
    //    edm::LogVerbatim("CSCSegment") << "layerIndex[" << i << "] should   be " << rechits[i]->cscDetId().layer();
    //    edm::LogVerbatim("CSCSegment") << "layerIndex[" << i << "] actually is " << layerIndex[i];
  }
 
  double z1 = theChamber->layer(1)->position().z();
  double z6 = theChamber->layer(6)->position().z();
 
  if (z1 > 0.) {
    if (z1 > z6) {
      reverse(layerIndex.begin(), layerIndex.end());
      reverse(rechits.begin(), rechits.end());
    }
  } else if (z1 < 0.) {
    if (z1 < z6) {
      reverse(layerIndex.begin(), layerIndex.end());
      reverse(rechits.begin(), rechits.end());
    }
  }
 
  // Dump rechits after sorting?
  //  if (debugInfo) dumpHits(rechits);
 
  //  if (rechits.size() < 2) {
  //    LogDebug("CSC") << myName << ": " << rechits.size() <<
  //      "  hit(s) in chamber is not enough to build a segment.\n";
  //    return std::vector<CSCSegment>();
  //  }
 
  // We have at least 2 hits. We intend to try all possible pairs of hits to start
  // segment building. 'All possible' means each hit lies on different layers in the chamber.
  // For now we don't care whether a hit has already been allocated to another segment;
  // we'll sort that out after building all possible segments.
 
  // Choose first hit (as close to IP as possible) h1 and
  // second hit (as far from IP as possible) h2
  // To do this we iterate over hits in the chamber by layer - pick two layers.
  // @@ Require the two layers are at least 3 layers apart. May need tuning?
  // Then we iterate over hits within each of these layers and pick h1 and h2 from these.
  // If they are 'close enough' we build an empty segment.
  // Then try adding hits to this segment.
 
  // Define buffer for segments we build (at the end we'll sort them somehow, and remove
  // those which share hits with better-quality segments.
 
  std::vector<CSCSegment> segments;
 
  sfit_ = nullptr;
 
  ChamberHitContainerCIt ib = rechits.begin();
  ChamberHitContainerCIt ie = rechits.end();
 
  for (ChamberHitContainerCIt i1 = ib; i1 != ie; ++i1) {
    int layer1 = layerIndex[i1 - ib];
 
    const CSCRecHit2D* h1 = *i1;
 
    for (ChamberHitContainerCIt i2 = ie - 1; i2 != i1; --i2) {
      int layer2 = layerIndex[i2 - ib];
 
      if (abs(layer2 - layer1) < minLayersApart)
        break;
 
      const CSCRecHit2D* h2 = *i2;
 
      if (areHitsCloseInLocalX(h1, h2) && areHitsCloseInGlobalPhi(h1, h2)) {
        proto_segment.clear();
 
        const CSCLayer* l1 = theChamber->layer(h1->cscDetId().layer());
        GlobalPoint gp1 = l1->toGlobal(h1->localPosition());
        const CSCLayer* l2 = theChamber->layer(h2->cscDetId().layer());
        GlobalPoint gp2 = l2->toGlobal(h2->localPosition());
        LogDebug("CSCSegment") << "start new segment from hits "
                               << "h1: " << gp1 << " - h2: " << gp2 << "\n";
        //  edm::LogVerbatim("CSCSegment") << "start new segment from hits " << "h1: " << gp1 << " - h2: " << gp2;
        //  edm::LogVerbatim("CSCSegment") << "on layers " << layer1 << " and " << layer2;
 
        if (!addHit(h1, layer1)) {
          LogDebug("CSCSegment") << "  failed to add hit h1\n";
          continue;
        }
 
        if (!addHit(h2, layer2)) {
          LogDebug("CSCSegment") << "  failed to add hit h2\n";
          continue;
        }
 
        if (sfit_)
          tryAddingHitsToSegment(rechits, i1, i2);  // can only add hits if there's a segment
 
        // if a segment has been found push back it into the segment collection
        if (proto_segment.empty()) {
          LogDebug("CSCSegment") << "No segment found.\n";
          //      edm::LogVerbatim("CSCSegment") << "No segment found.";
        } else {
          //@@ THIS IS GOING TO BE TRICKY - CREATING MANY FITS ON HEAP
          //@@ BUT MEMBER VARIABLE JUST POINTS TO MOST RECENT ONE
          candidates.push_back(sfit_);  // store the current fit
          LogDebug("CSCSegment") << "Found a segment.\n";
          //      edm::LogVerbatim("CSCSegment") << "Found a segment.";
        }
      }
    }
  }
 
  //  edm::LogVerbatim("CSCSegment") << "[CSCSegAlgoTC::buildSegments] no. of candidates before pruning = " << candidates.size();
 
  // We've built all possible segments. Now pick the best, non-overlapping subset.
  pruneTheSegments(rechits);
 
  // Create CSCSegments for the surviving candidates
  for (unsigned int i = 0; i < candidates.size(); ++i) {
    CSCSegFit* sfit = candidates[i];
    //    edm::LogVerbatim("CSCSegment") << "candidate fit " << i+1 << " of " << candidates.size() << " is at " << sfit;
    //    if ( !sfit ) {
    //      edm::LogVerbatim("CSCSegment") << "stored a null pointer for element " << i+1 << " of " << candidates.size();
    //      continue;
    //    }
    CSCSegment temp(sfit->hits(), sfit->intercept(), sfit->localdir(), sfit->covarianceMatrix(), sfit->chi2());
    delete sfit;
    segments.push_back(temp);
    if (debugInfo)
      dumpSegment(temp);
  }
 
  // reset member variables
  candidates.clear();
  sfit_ = nullptr;
 
  //  edm::LogVerbatim("CSCSegment") << "[CSCSegAlgoTC::buildSegments] no. of segments returned = " << segments.size();
 
  return segments;
}
 
void CSCSegAlgoTC::tryAddingHitsToSegment(const ChamberHitContainer& rechits,
                                          const ChamberHitContainerCIt i1,
                                          const ChamberHitContainerCIt i2) {
  // Iterate over the layers with hits in the chamber
  // Skip the layers containing the segment endpoints
  // Test each hit on the other layers to see if it is near the segment
  // If it is, see whether there is already a hit on the segment from the same layer
  //    - if so, and there are more than 2 hits on the segment, copy the segment,
  //      replace the old hit with the new hit. If the new segment chi2 is better
  //      then replace the original segment with the new one (by swap)
  //    - if not, copy the segment, add the hit. If the new chi2/dof is still satisfactory
  //      then replace the original segment with the new one (by swap)
 
  ChamberHitContainerCIt ib = rechits.begin();
  ChamberHitContainerCIt ie = rechits.end();
 
  for (ChamberHitContainerCIt i = ib; i != ie; ++i) {
    if (i == i1 || i == i2)
      continue;
 
    int layer = (*i)->cscDetId().layer();
    const CSCRecHit2D* h = *i;
 
    if (isHitNearSegment(h)) {
      const CSCLayer* l1 = theChamber->layer(h->cscDetId().layer());
      GlobalPoint gp1 = l1->toGlobal(h->localPosition());
      LogDebug("CSC") << "    hit at global " << gp1 << " is near segment\n.";
 
      if (hasHitOnLayer(layer)) {
        if (proto_segment.size() <= 2) {
          LogDebug("CSC") << "    " << proto_segment.size() << " hits on segment...skip hit on same layer.\n";
          continue;
        }
 
        compareProtoSegment(h, layer);
      } else
        increaseProtoSegment(h, layer);
    }  // h & seg close
  }    // i
}
 
bool CSCSegAlgoTC::addHit(const CSCRecHit2D* aHit, int layer) {
  // Return true if hit was added successfully
  // (and then parameters are updated).
  // Return false if there is already a hit on the same layer, or insert failed.
 
  bool ok = true;
  ChamberHitContainer::const_iterator it;
 
  for (it = proto_segment.begin(); it != proto_segment.end(); it++)
    if (((*it)->cscDetId().layer() == layer) && (aHit != *it))
      return false;
 
  if (ok) {
    proto_segment.push_back(aHit);
    updateParameters();
  }
  return ok;
}
 
bool CSCSegAlgoTC::replaceHit(const CSCRecHit2D* h, int layer) {
  // replace a hit from a layer
  ChamberHitContainer::iterator it;
  for (it = proto_segment.begin(); it != proto_segment.end();) {
    if ((*it)->cscDetId().layer() == layer)
      it = proto_segment.erase(it);
    else
      ++it;
  }
 
  return addHit(h, layer);
}
 
void CSCSegAlgoTC::updateParameters(void) {
  //@@ DO NOT DELETE EXISTING FIT SINCE WE SAVE IT!!
  //  delete sfit_;
  sfit_ = new CSCSegFit(theChamber, proto_segment);
  sfit_->fit();
}
 
float CSCSegAlgoTC::phiAtZ(float z) const {
  // Returns a phi in [ 0, 2*pi )
  const CSCLayer* l1 = theChamber->layer(1);
  GlobalPoint gp = l1->toGlobal(sfit_->intercept());
  GlobalVector gv = l1->toGlobal(sfit_->localdir());
 
  float x = gp.x() + (gv.x() / gv.z()) * (z - gp.z());
  float y = gp.y() + (gv.y() / gv.z()) * (z - gp.z());
  float phi = atan2(y, x);
  if (phi < 0.f)
    phi += 2. * M_PI;
 
  return phi;
}
 
void CSCSegAlgoTC::compareProtoSegment(const CSCRecHit2D* h, int layer) {
  // Save copy of current fit
  CSCSegFit* oldfit = new CSCSegFit(*sfit_);
 
  bool ok = replaceHit(h, layer);  // possible new fit
 
  if (ok) {
    LogDebug("CSC") << "    hit in same layer as a hit on segment; try replacing old one..."
                    << " chi2 new: " << sfit_->chi2() << " old: " << oldfit->chi2() << "\n";
  }
 
  if (ok && (sfit_->chi2() < oldfit->chi2())) {
    LogDebug("CSC") << "    segment with replaced hit is better.\n";
    delete oldfit;  // new fit is better
  } else {
    delete sfit_;    // new fit is worse
    sfit_ = oldfit;  // restore original fit
  }
}
 
void CSCSegAlgoTC::increaseProtoSegment(const CSCRecHit2D* h, int layer) {
  // save copy of input fit
  CSCSegFit* oldfit = new CSCSegFit(*sfit_);
 
  bool ok = addHit(h, layer);  // possible new fit
 
  if (ok) {
    LogDebug("CSC") << "    hit in new layer: added to segment, new chi2: " << sfit_->chi2() << "\n";
  }
 
  //  int ndf = 2*proto_segment.size() - 4;
 
  if (ok && ((sfit_->chi2() <= 0) || (sfit_->chi2() / sfit_->ndof() < chi2Max))) {
    LogDebug("CSC") << "    segment with added hit is good.\n";
    delete oldfit;  // new fit is better
  } else {
    delete sfit_;    // new fit is worse
    sfit_ = oldfit;  // restore original fit
  }
}
 
bool CSCSegAlgoTC::areHitsCloseInLocalX(const CSCRecHit2D* h1, const CSCRecHit2D* h2) const {
  float deltaX = (h1->localPosition() - h2->localPosition()).x();
  LogDebug("CSC") << "    Hits at local x= " << h1->localPosition().x() << ", " << h2->localPosition().x()
                  << " have separation= " << deltaX;
  return (fabs(deltaX) < (dRPhiMax)) ? true : false;  // +v
}
 
bool CSCSegAlgoTC::areHitsCloseInGlobalPhi(const CSCRecHit2D* h1, const CSCRecHit2D* h2) const {
  const CSCLayer* l1 = theChamber->layer(h1->cscDetId().layer());
  GlobalPoint gp1 = l1->toGlobal(h1->localPosition());
  const CSCLayer* l2 = theChamber->layer(h2->cscDetId().layer());
  GlobalPoint gp2 = l2->toGlobal(h2->localPosition());
 
  float h1p = gp1.phi();
  float h2p = gp2.phi();
  float dphi12 = h1p - h2p;
 
  // Into range [-pi, pi) (phi() returns values in this range)
  if (dphi12 < -M_PI)
    dphi12 += 2. * M_PI;
  if (dphi12 > M_PI)
    dphi12 -= 2. * M_PI;
  LogDebug("CSC") << "    Hits at global phi= " << h1p << ", " << h2p << " have separation= " << dphi12;
  return (fabs(dphi12) < dPhiMax) ? true : false;  // +v
}
 
bool CSCSegAlgoTC::isHitNearSegment(const CSCRecHit2D* h) const {
  // Is hit near segment?
  // Requires deltaphi and rxy*deltaphi within ranges specified
  // in orcarc, or by default, where rxy=sqrt(x**2+y**2) of hit itself.
  // Note that to make intuitive cuts on delta(phi) one must work in
  // phi range (-pi, +pi] not [0, 2pi
 
  const CSCLayer* l1 = theChamber->layer(h->cscDetId().layer());
  GlobalPoint hp = l1->toGlobal(h->localPosition());
 
  float hphi = hp.phi();  // in (-pi, +pi]
  if (hphi < 0.)
    hphi += 2. * M_PI;          // into range [0, 2pi)
  float sphi = phiAtZ(hp.z());  // in [0, 2*pi)
  float phidif = sphi - hphi;
  if (phidif < 0.)
    phidif += 2. * M_PI;  // into range [0, 2pi)
  if (phidif > M_PI)
    phidif -= 2. * M_PI;  // into range (-pi, pi]
 
  float dRPhi = fabs(phidif) * hp.perp();
  LogDebug("CSC") << "    is hit at phi_h= " << hphi << " near segment phi_seg= " << sphi << "? is " << dRPhi << "<"
                  << dRPhiFineMax << " ? "
                  << " and is |" << phidif << "|<" << dPhiFineMax << " ?";
 
  return ((dRPhi < dRPhiFineMax) && (fabs(phidif) < dPhiFineMax)) ? true : false;  // +v
}
 
bool CSCSegAlgoTC::hasHitOnLayer(int layer) const {
  // Is there is already a hit on this layer?
  ChamberHitContainerCIt it;
 
  for (it = proto_segment.begin(); it != proto_segment.end(); it++)
    if ((*it)->cscDetId().layer() == layer)
      return true;
 
  return false;
}
 
void CSCSegAlgoTC::dumpHits(const ChamberHitContainer& rechits) const {
  // Dump positions of RecHit's in each CSCChamber
  ChamberHitContainerCIt it;
 
  for (it = rechits.begin(); it != rechits.end(); it++) {
    const CSCLayer* l1 = theChamber->layer((*it)->cscDetId().layer());
    GlobalPoint gp1 = l1->toGlobal((*it)->localPosition());
 
    LogDebug("CSC") << "Global pos.: " << gp1 << ", phi: " << gp1.phi()
                    << ". Local position: " << (*it)->localPosition() << ", phi: " << (*it)->localPosition().phi()
                    << ". Layer: " << (*it)->cscDetId().layer() << "\n";
  }
}
 
bool CSCSegAlgoTC::isSegmentGood(std::vector<CSCSegFit*>::iterator seg,
                                 const ChamberHitContainer& rechitsInChamber,
                                 BoolContainer& used) const {
  // Apply any selection cuts to segment
 
  // 1) Require a minimum no. of hits
  //   (@@ THESE VALUES SHOULD BECOME PARAMETERS?)
 
  // 2) Ensure no hits on segment are already assigned to another segment
  //    (typically of higher quality)
 
  size_t iadd = (rechitsInChamber.size() > 20) ? 1 : 0;
 
  size_t nhits = (*seg)->nhits();
 
  if (nhits < 3 + iadd)
    return false;
 
  // Additional part of alternative segment selection scheme: reject
  // segments with a chi2 probability of less than chi2ndfProbMin. Relies on list
  // being sorted with "SegmentSorting == 2", that is first by nrechits and then
  // by chi2prob in subgroups of same no. of rechits.
 
  if (SegmentSorting == 2) {
    double chi2t = (*seg)->chi2();
    double ndoft = 2 * nhits - 4;
    if (chi2t > 0 && ndoft > 0) {
      if (ChiSquaredProbability(chi2t, ndoft) < chi2ndfProbMin) {
        return false;
      }
    } else {
      return false;
    }
  }
 
  ChamberHitContainer hits_ = (*seg)->hits();
 
  for (size_t ish = 0; ish < nhits; ++ish) {
    ChamberHitContainerCIt ib = rechitsInChamber.begin();
 
    for (ChamberHitContainerCIt ic = ib; ic != rechitsInChamber.end(); ++ic) {
      if ((hits_[ish] == (*ic)) && used[ic - ib])
        return false;
    }
  }
 
  return true;
}
 
void CSCSegAlgoTC::flagHitsAsUsed(std::vector<CSCSegFit*>::iterator seg,
                                  const ChamberHitContainer& rechitsInChamber,
                                  BoolContainer& used) const {
  // Flag hits on segment as used
 
  ChamberHitContainerCIt ib = rechitsInChamber.begin();
  ChamberHitContainer hits = (*seg)->hits();
 
  for (size_t ish = 0; ish < hits.size(); ++ish) {
    for (ChamberHitContainerCIt iu = ib; iu != rechitsInChamber.end(); ++iu)
      if (hits[ish] == (*iu))
        used[iu - ib] = true;
  }
}
 
void CSCSegAlgoTC::pruneTheSegments(const ChamberHitContainer& rechitsInChamber) {
  // Sort the segment store according to segment 'quality' (chi2/#hits ?) and
  // remove any segments which contain hits assigned to higher-quality segments.
 
  if (candidates.empty())
    return;
 
  // Initialize flags that a given hit has been allocated to a segment
  BoolContainer used(rechitsInChamber.size(), false);
 
  // Sort by chi2/#hits
  segmentSort();
 
  // Select best quality segments, requiring hits are assigned to just one segment
  // Want to erase the bad segments, so the iterator must be incremented
  // inside the loop, and only when the erase is not called
 
  std::vector<CSCSegFit*>::iterator is;
 
  for (is = candidates.begin(); is != candidates.end();) {
    bool goodSegment = isSegmentGood(is, rechitsInChamber, used);
 
    if (goodSegment) {
      LogDebug("CSC") << "Accepting segment: ";
      flagHitsAsUsed(is, rechitsInChamber, used);
      ++is;
    } else {
      LogDebug("CSC") << "Rejecting segment: ";
      delete *is;                 // delete the CSCSegFit*
      is = candidates.erase(is);  // erase the element in container
    }
  }
}
 
void CSCSegAlgoTC::segmentSort() {
  // The segment collection is sorted according to e.g. chi2/#hits
 
  for (size_t i = 0; i < candidates.size() - 1; ++i) {
    for (size_t j = i + 1; j < candidates.size(); ++j) {
      size_t ni = (candidates[i]->hits()).size();
      size_t nj = (candidates[j]->hits()).size();
 
      // Sort criterion: first sort by no. of rechits, then in groups of rechits by chi2prob
      if (SegmentSorting == 2) {
        if (nj > ni) {  // sort by no. of rechits
          CSCSegFit* temp = candidates[j];
          candidates[j] = candidates[i];
          candidates[i] = temp;
        }
        // sort by chi2 probability in subgroups with equal nr of rechits
        //  if(chi2s[i] != 0. && 2*n2-4 > 0 ) {
        if (candidates[i]->chi2() > 0 && candidates[i]->ndof() > 0) {
          if (nj == ni && (ChiSquaredProbability(candidates[i]->chi2(), (double)(candidates[i]->ndof())) <
                           ChiSquaredProbability(candidates[j]->chi2(), (double)(candidates[j]->ndof())))) {
            CSCSegFit* temp = candidates[j];
            candidates[j] = candidates[i];
            candidates[i] = temp;
          }
        }
      } else if (SegmentSorting == 1) {
        if ((candidates[i]->chi2() / ni) > (candidates[j]->chi2() / nj)) {
          CSCSegFit* temp = candidates[j];
          candidates[j] = candidates[i];
          candidates[i] = temp;
        }
      } else {
        LogDebug("CSC") << "No valid segment sorting specified. Algorithm misconfigured! \n";
      }
    }
  }
}
 
void CSCSegAlgoTC::dumpSegment(const CSCSegment& seg) const {
  edm::LogVerbatim("CSCSegment") << "CSCSegment in " << theChamber->id() << "\nlocal position = " << seg.localPosition()
                                 << "\nerror = " << seg.localPositionError()
                                 << "\nlocal direction = " << seg.localDirection()
                                 << "\nerror =" << seg.localDirectionError() << "\ncovariance matrix"
                                 << seg.parametersError() << "chi2/ndf = " << seg.chi2() << "/"
                                 << seg.degreesOfFreedom() << "\n#rechits = " << seg.specificRecHits().size()
                                 << "\ntime = " << seg.time();
}