MinL3Algorithm Class Reference

#include <MinL3Algorithm.h>

Public Member Functions
void	addEvent (const std::vector< float > &eventSquare, const int &maxCeta, const int &maxCphi, const float &energy)
	add event to the calculation of the calibration vector More...
std::vector< float >	getSolution (bool resetsolution=true)
	get the solution at the end of the calibration More...
int	indexSqr2Reg (const int &sqrIndex, const int &maxCeta, const int &maxCphi)
	method to translate from square indices to region indices More...
std::vector< float >	iterate (const std::vector< std::vector< float > > &eventMatrix, const std::vector< int > &VmaxCeta, const std::vector< int > &VmaxCphi, const std::vector< float > &energyVector, const int &nIter, const bool &normalizeFlag=false)
	MinL3Algorithm (float kweight_=0., int squareMode_=5, int mineta_=1, int maxeta_=85, int minphi_=1, int maxphi_=20)
std::vector< float >	recalibrateEvent (const std::vector< float > &eventSquare, const int &maxCeta, const int &maxCphi, const std::vector< float > &recalibrateVector)
	recalibrate before next iteration: give previous solution vector as argument More...
void	resetSolution ()
	reset for new iteration More...
	~MinL3Algorithm ()
	Destructor. More...

Private Attributes
int	countEvents
std::vector< float >	Ewsum
float	kweight
int	maxeta
int	maxphi
int	mineta
int	minphi
int	Nchannels
int	Nxtals
int	squareMode
std::vector< float >	wsum

Detailed Description

Implementation of the L3 Collaboration algorithm to solve a system Ax = B by minimization of |Ax-B| using an iterative linear approach This class is specific for the ECAL calibration

13.03.2007: R.Ofierzynski

• implemented event weighting

Author

R.Ofierzynski, CERN

Definition at line 19 of file MinL3Algorithm.h.

Constructor & Destructor Documentation

MinL3Algorithm::MinL3Algorithm	(	float	kweight_ = 0.,
		int	squareMode_ = 5,
		int	mineta_ = 1,
		int	maxeta_ = 85,
		int	minphi_ = 1,
		int	maxphi_ = 20
	)

Default constructor kweight_ = event weight, squareMode_ = side length of the cluster square

Definition at line 10 of file MinL3Algorithm.cc.

References Ewsum, maxeta, maxphi, mineta, minphi, Nchannels, Nxtals, squareMode, and wsum.

  :kweight(kweight_), squareMode(squareMode_), mineta(mineta_), maxeta(maxeta_), minphi(minphi_), maxphi(maxphi_), countEvents(0)
{
  int Neta = maxeta - mineta + 1;
  if (mineta * maxeta < 0) Neta--; // there's no eta index = 0
  int Nphi = maxphi - minphi + 1;
  if (Nphi <0) Nphi += 360;
  
  Nchannels = Neta * Nphi; // no. of channels, get it from edges of the region

  Nxtals = squareMode*squareMode; // no. of xtals in one event

  wsum.assign(Nchannels,0.);
  Ewsum.assign(Nchannels,0.);
}

MinL3Algorithm::~MinL3Algorithm

(

)

Destructor.

Definition at line 27 of file MinL3Algorithm.cc.

{
}

Member Function Documentation

void MinL3Algorithm::addEvent	(	const std::vector< float > &	eventSquare,
		const int &	maxCeta,
		const int &	maxCphi,
		const float &	energy
	)

add event to the calculation of the calibration vector

Definition at line 91 of file MinL3Algorithm.cc.

References countEvents, Ewsum, i, indexSqr2Reg(), kweight, Nxtals, funct::pow(), w, and wsum.

Referenced by iterate().

{
  countEvents++;

  float w, invsumXmatrix;
  float eventw;
  int iFull, i;
  // Loop over the crystal matrix to find the sum
  float sumXmatrix=0.;
      
  for (i=0; i<Nxtals; i++) { sumXmatrix+=eventSquare[i]; }
      
  // event weighting
  eventw = 1 - fabs(1 - sumXmatrix/energy);
  eventw = pow(eventw,kweight);
      
  if (sumXmatrix != 0.)
    {
      invsumXmatrix = 1/sumXmatrix;
      // Loop over the crystal matrix (3x3,5x5,7x7) again and calculate the weights for each xtal
      for (i=0; i<Nxtals; i++) 
    {       
      w = eventSquare[i] * invsumXmatrix;

      iFull = indexSqr2Reg(i, maxCeta, maxCphi);
      if (iFull >= 0)
        {
          // with event weighting:
          wsum[iFull] += w*eventw;
          Ewsum[iFull] += (w*eventw * energy * invsumXmatrix);
          //          wsum[iFull] += w;
          //          Ewsum[iFull] += (w * energy * invsumXmatrix);
        }
    }
    }
  //  else {std::cout << " Debug: dropping null event: " << countEvents << std::endl;}
}

std::vector< float > MinL3Algorithm::getSolution

(

bool

resetsolution = true

)

get the solution at the end of the calibration

Definition at line 130 of file MinL3Algorithm.cc.

References Ewsum, i, Nchannels, resetSolution(), and wsum.

Referenced by iterate().

{
  std::vector<float> solution(Nchannels,1.);

  for (int i=0; i<Nchannels; i++) 
    {
      if (wsum[i] != 0.) 
    { solution[i]*=Ewsum[i]/wsum[i];}
      //      else 
      //    { std::cout << "warning - no event data for crystal index (reduced region) " << i << std::endl; }
    }
  
  if (resetsolution) resetSolution();

  return solution;
}

int MinL3Algorithm::indexSqr2Reg	(	const int &	sqrIndex,
		const int &	maxCeta,
		const int &	maxCphi
	)

method to translate from square indices to region indices

Definition at line 170 of file MinL3Algorithm.cc.

References maxeta, maxphi, mineta, minphi, and squareMode.

Referenced by addEvent(), and recalibrateEvent().

{
  int regionIndex;

  // get the current eta, phi indices
  int curr_eta = maxCeta - squareMode/2 + sqrIndex%squareMode;
  if (curr_eta * maxCeta <= 0) {if (maxCeta > 0) curr_eta--; else curr_eta++; }  // JUMP over 0

  int curr_phi = maxCphi - squareMode/2 + sqrIndex/squareMode;
  if (curr_phi < 1) curr_phi += 360;
  if (curr_phi > 360) curr_phi -= 360;

  bool negPhiDirection = (maxphi < minphi);
  int iFullphi;

  regionIndex = -1;

  if (curr_eta >= mineta && curr_eta <= maxeta)
    if ( (!negPhiDirection && (curr_phi >= minphi && curr_phi <= maxphi)) ||
     (negPhiDirection && !(curr_phi >= minphi && curr_phi <= maxphi))      ) 
      {
    iFullphi = curr_phi - minphi;
    if (iFullphi < 0) iFullphi += 360;
    regionIndex = (curr_eta - mineta) * (maxphi - minphi + 1 + 360*negPhiDirection) + iFullphi;
      }

  return regionIndex;
}

std::vector< float > MinL3Algorithm::iterate	(	const std::vector< std::vector< float > > &	eventMatrix,
		const std::vector< int > &	VmaxCeta,
		const std::vector< int > &	VmaxCphi,
		const std::vector< float > &	energyVector,
		const int &	nIter,
		const bool &	normalizeFlag = false
	)

method doing the full calibration running nIter number of times, recalibrating the event matrix after each iteration with the new solution returns the vector of calibration coefficients built from all iteration solutions

to be used also as recipe on how to use the calibration methods one-by-one <<

Definition at line 32 of file MinL3Algorithm.cc.

References addEvent(), getSolution(), i, getDQMSummary::iter, j, Nchannels, Nxtals, recalibrateEvent(), and pileupReCalc_HLTpaths::scale.

Referenced by ElectronCalibration::endJob(), and ElectronCalibrationUniv::endJob().

{
  int Nevents = eventMatrix.size(); // Number of events to calibrate with

  std::vector<float> totalSolution(Nchannels,1.);
  std::vector<float> iterSolution;
  std::vector<std::vector<float> > myEventMatrix(eventMatrix);
  std::vector<float> myEnergyVector(energyVector);

  int i, j;

  // Iterate the correction
  for (int iter=1;iter<=nIter;iter++) 
    {

      // if normalization flag is set, normalize energies
      float sumOverEnergy;
      if (normalizeFlag)
    {
      float scale = 0.;
      
      for (i=0; i<Nevents; i++)
        {
          sumOverEnergy = 0.;
          for (j=0; j<Nxtals; j++) {sumOverEnergy += myEventMatrix[i][j];}
          sumOverEnergy /= myEnergyVector[i];
          scale += sumOverEnergy;
        }
      scale /= Nevents;
      
      for (i=0; i<Nevents; i++) {myEnergyVector[i] *= scale;}     
    } // end normalize energies

      // now the real work starts:
      for (int iEvt=0; iEvt < Nevents; iEvt++)
    {
      addEvent(myEventMatrix[iEvt], VmaxCeta[iEvt], VmaxCphi[iEvt], myEnergyVector[iEvt]);
    }
      iterSolution = getSolution();
      if (iterSolution.empty()) return iterSolution;

      // re-calibrate eventMatrix with solution
      for (int ievent = 0; ievent<Nevents; ievent++)
    {
      myEventMatrix[ievent] = recalibrateEvent(myEventMatrix[ievent], VmaxCeta[ievent], VmaxCphi[ievent], iterSolution);
    }

      for (int i=0; i<Nchannels; i++) 
    {
      // save solution into theCalibVector
      totalSolution[i] *= iterSolution[i];
    }
      //      resetSolution(); // reset for new iteration, now: getSolution does it automatically if not vetoed
    } // end iterate correction

  return totalSolution;
}

std::vector< float > MinL3Algorithm::recalibrateEvent	(	const std::vector< float > &	eventSquare,
		const int &	maxCeta,
		const int &	maxCphi,
		const std::vector< float > &	recalibrateVector
	)

recalibrate before next iteration: give previous solution vector as argument

Definition at line 155 of file MinL3Algorithm.cc.

References i, indexSqr2Reg(), and Nxtals.

Referenced by iterate().

{
  std::vector<float> newEventSquare(eventSquare);
  int iFull;

  for (int i=0; i<Nxtals; i++) 
    {
      iFull = indexSqr2Reg(i, maxCeta, maxCphi);
      if (iFull >=0)
    newEventSquare[i] *= recalibrateVector[iFull];
    }
  return newEventSquare;
}

void MinL3Algorithm::resetSolution

(

)

reset for new iteration

Definition at line 148 of file MinL3Algorithm.cc.

References Ewsum, Nchannels, and wsum.

Referenced by getSolution().

{
  wsum.assign(Nchannels,0.);
  Ewsum.assign(Nchannels,0.);
}

Member Data Documentation

int MinL3Algorithm::countEvents

private

Definition at line 56 of file MinL3Algorithm.h.

Referenced by addEvent().

std::vector<float> MinL3Algorithm::Ewsum

private

Definition at line 59 of file MinL3Algorithm.h.

Referenced by addEvent(), getSolution(), MinL3Algorithm(), and resetSolution().

float MinL3Algorithm::kweight

private

Definition at line 53 of file MinL3Algorithm.h.

Referenced by addEvent().

int MinL3Algorithm::maxeta

private

Definition at line 55 of file MinL3Algorithm.h.

Referenced by indexSqr2Reg(), and MinL3Algorithm().

int MinL3Algorithm::maxphi

private

Definition at line 55 of file MinL3Algorithm.h.

Referenced by indexSqr2Reg(), and MinL3Algorithm().

int MinL3Algorithm::mineta

private

Definition at line 55 of file MinL3Algorithm.h.

Referenced by indexSqr2Reg(), and MinL3Algorithm().

int MinL3Algorithm::minphi

private

Definition at line 55 of file MinL3Algorithm.h.

Referenced by indexSqr2Reg(), and MinL3Algorithm().

int MinL3Algorithm::Nchannels

private

Definition at line 57 of file MinL3Algorithm.h.

Referenced by getSolution(), iterate(), MinL3Algorithm(), and resetSolution().

int MinL3Algorithm::Nxtals

private

Definition at line 57 of file MinL3Algorithm.h.

Referenced by addEvent(), iterate(), MinL3Algorithm(), and recalibrateEvent().

int MinL3Algorithm::squareMode

private

Definition at line 54 of file MinL3Algorithm.h.

Referenced by indexSqr2Reg(), and MinL3Algorithm().

std::vector<float> MinL3Algorithm::wsum

private

Definition at line 58 of file MinL3Algorithm.h.

Referenced by addEvent(), getSolution(), MinL3Algorithm(), and resetSolution().