HCALResponse.cc

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//updated by Reza Goldouzian
//FastSimulation headers
#include "FastSimulation/Calorimetry/interface/HCALResponse.h"
#include "FastSimulation/Utilities/interface/RandomEngineAndDistribution.h"
#include "FastSimulation/Utilities/interface/DoubleCrystalBallGenerator.h"

// CMSSW Headers
#include "FWCore/ParameterSet/interface/ParameterSet.h"
#include "FWCore/MessageLogger/interface/MessageLogger.h"

#include <iostream>
#include <vector>
#include <string>
#include <math.h>

using namespace edm;

HCALResponse::HCALResponse(const edm::ParameterSet& pset) {
  //switches
  debug = pset.getParameter<bool>("debug");
  usemip = pset.getParameter<bool>("usemip");

  //values for "old" response parameterizations
  //--------------------------------------------------------------------
  RespPar[HCAL][0][0] = pset.getParameter<double>("HadronBarrelResolution_Stochastic");
  RespPar[HCAL][0][1] = pset.getParameter<double>("HadronBarrelResolution_Constant");
  RespPar[HCAL][0][2] = pset.getParameter<double>("HadronBarrelResolution_Noise");

  RespPar[HCAL][1][0] = pset.getParameter<double>("HadronEndcapResolution_Stochastic");
  RespPar[HCAL][1][1] = pset.getParameter<double>("HadronEndcapResolution_Constant");
  RespPar[HCAL][1][2] = pset.getParameter<double>("HadronEndcapResolution_Noise");

  RespPar[VFCAL][0][0] = pset.getParameter<double>("HadronForwardResolution_Stochastic");
  RespPar[VFCAL][0][1] = pset.getParameter<double>("HadronForwardResolution_Constant");
  RespPar[VFCAL][0][2] = pset.getParameter<double>("HadronForwardResolution_Noise");

  RespPar[VFCAL][1][0] = pset.getParameter<double>("ElectronForwardResolution_Stochastic");
  RespPar[VFCAL][1][1] = pset.getParameter<double>("ElectronForwardResolution_Constant");
  RespPar[VFCAL][1][2] = pset.getParameter<double>("ElectronForwardResolution_Noise");

  eResponseScale[0] = pset.getParameter<double>("eResponseScaleHB");  
  eResponseScale[1] = pset.getParameter<double>("eResponseScaleHE");
  eResponseScale[2] = pset.getParameter<double>("eResponseScaleHF");

  eResponsePlateau[0] = pset.getParameter<double>("eResponsePlateauHB");
  eResponsePlateau[1] = pset.getParameter<double>("eResponsePlateauHE");
  eResponsePlateau[2] = pset.getParameter<double>("eResponsePlateauHF");

  eResponseExponent = pset.getParameter<double>("eResponseExponent");
  eResponseCoefficient = pset.getParameter<double>("eResponseCoefficient");
  
  //pion parameters
  //--------------------------------------------------------------------
  //energy values
  maxHDe[0] = pset.getParameter<int>("maxHBe");
  maxHDe[1] = pset.getParameter<int>("maxHEe");
  maxHDe[2] = pset.getParameter<int>("maxHFe");
  maxHDe[3] = pset.getParameter<int>("maxHFlowe");

  eGridHD[0] = pset.getParameter<vec1>("eGridHB");
  eGridHD[1] = pset.getParameter<vec1>("eGridHE");
  eGridHD[2] = pset.getParameter<vec1>("eGridHF");
  eGridHD[3] = pset.getParameter<vec1>("loweGridHF");
  
  //region eta indices calculated from eta values
  etaStep = pset.getParameter<double>("etaStep");
  //eta boundaries
  HDeta[0] = abs((int)(pset.getParameter<double>("HBeta") / etaStep));
  HDeta[1] = abs((int)(pset.getParameter<double>("HEeta") / etaStep));
  HDeta[2] = abs((int)(pset.getParameter<double>("HFeta") / etaStep));
  HDeta[3] = abs((int)(pset.getParameter<double>("maxHDeta") / etaStep)); //add 1 because this is the max index
  //eta ranges
  maxHDetas[0] = HDeta[1] - HDeta[0];
  maxHDetas[1] = HDeta[2] - HDeta[1];
  maxHDetas[2] = HDeta[3] - HDeta[2];
  
  //parameter info
  nPar = pset.getParameter<int>("nPar");
  parNames = pset.getParameter<std::vector<std::string> >("parNames");
  std::string detNames[] = {"_HB","_HE","_HF"};
  std::string mipNames[] = {"_mip","_nomip",""};
  std::string fraction="f";  
  //setup parameters (5D vector)
  parameters = vec5(nPar,vec4(3,vec3(3)));
  for(int p = 0; p < nPar; p++){ //loop over parameters
    for(int m = 0; m < 3; m++){ //loop over mip, nomip, total
      for(int d = 0; d < 3; d++){ //loop over dets: HB, HE, HF
    //get from python
    std::string pname = parNames[p] + detNames[d] + mipNames[m];
    vec1 tmp = pset.getParameter<vec1>(pname);
      
    //resize vector for energy range of det d
    parameters[p][m][d].resize(maxHDe[d]);
        
    for(int i = 0; i < maxHDe[d]; i++){ //loop over energy for det d
      //resize vector for eta range of det d
      parameters[p][m][d][i].resize(maxHDetas[d]);
          
      for(int j = 0; j < maxHDetas[d]; j++){ //loop over eta for det d
        //fill in parameters vector from python
        parameters[p][m][d][i][j] = tmp[i*maxHDetas[d] + j];
      }
    }
      }
    }
  }
  //set up Poisson parameters for low energy Hadrons in HF
  //----------------------------------------------------------------------
  PoissonParameters= vec3(4);
  std::string PoissonParName[] = {"mean_overall","shift_overall","mean_between","shift_between"};
  for(int d = 0; d < 4; d++){ //loop over Poisson parameteres
    vec1 tmp1 = pset.getParameter<vec1>(PoissonParName[d]);
    for(int i = 0; i < maxHDe[3]; i++){ //loop over energy for low HF energy points
      PoissonParameters[d].resize(maxHDe[3]);
      for(int j = 0; j < maxHDetas[2]; j++){ //loop over HF eta points
    PoissonParameters[d][i].resize(maxHDetas[2]);
    PoissonParameters[d][i][j]= tmp1[i*maxHDetas[2] + j];
      }
    }
  }


  //MIP fraction fill in 3d vector
  mipfraction = vec3(3);
  for(int d = 0; d < 3; d++){ //loop over dets: HB, HE, HF
    //get from python
    std::string mipname = fraction + mipNames[0] + detNames[d] ;
    vec1 tmp1 = pset.getParameter<vec1>(mipname);
    mipfraction[d].resize(maxHDe[d]);
    for(int i = 0; i < maxHDe[d]; i++){ //loop over energy for det d
      //resize vector for eta range of det d
      mipfraction[d][i].resize(maxHDetas[d]);
      for(int j = 0; j < maxHDetas[d]; j++){ //loop over eta for det d
    //fill in parameters vector from python
    mipfraction[d][i][j]= tmp1[i*maxHDetas[d] + j];
      }
    }
  }

  // MUON probability histos for bin size = 0.25 GeV (0-10 GeV, 40 bins)
  //--------------------------------------------------------------------
  muStep  = pset.getParameter<double>("muStep");
  maxMUe = pset.getParameter<int>("maxMUe");
  maxMUeta = pset.getParameter<int>("maxMUeta");
  maxMUbin = pset.getParameter<int>("maxMUbin");
  eGridMU = pset.getParameter<vec1>("eGridMU");
  etaGridMU = pset.getParameter<vec1>("etaGridMU");
  vec1 _responseMU[2] = {pset.getParameter<vec1>("responseMUBarrel"),pset.getParameter<vec1>("responseMUEndcap")};
  
  //get muon region eta indices from the eta grid
  double _barrelMUeta = pset.getParameter<double>("barrelMUeta");
  double _endcapMUeta = pset.getParameter<double>("endcapMUeta");
  barrelMUeta = endcapMUeta = maxMUeta;
  for(int i = 0; i < maxMUeta; i++) {
    if(fabs(_barrelMUeta) <= etaGridMU[i]) { barrelMUeta = i; break; }      
  }
  for(int i = 0; i < maxMUeta; i++) {
    if(fabs(_endcapMUeta) <= etaGridMU[i]) { endcapMUeta = i; break; }      
  }
  int maxMUetas[] = {endcapMUeta - barrelMUeta, maxMUeta - endcapMUeta};
  
  //initialize 3D vector
  responseMU = vec3(maxMUe,vec2(maxMUeta,vec1(maxMUbin,0)));
  
  //fill in 3D vector
  //(complementary cumulative distribution functions, from normalized response distributions)
  int loc, eta_loc;
  loc = eta_loc = -1;
  for(int i = 0; i < maxMUe; i++){
    for(int j = 0; j < maxMUeta; j++){
      //check location - barrel, endcap, or forward
      if(j==barrelMUeta) {loc = 0; eta_loc = barrelMUeta;}
      else if(j==endcapMUeta) {loc = 1; eta_loc = endcapMUeta;}
      
      for(int k = 0; k < maxMUbin; k++){
    responseMU[i][j][k] = _responseMU[loc][i*maxMUetas[loc]*maxMUbin + (j-eta_loc)*maxMUbin + k];
        
    if(debug) {
      //cout.width(6);
      LogInfo("FastCalorimetry") << " responseMU " << i << " " << j << " " << k  << " = " 
                     << responseMU[i][j][k] << std::endl;
    }
      }
    }
  }

  // values for EM response in HF
  //--------------------------------------------------------------------
  maxEMe = pset.getParameter<int>("maxEMe");
  maxEMeta = maxHDetas[2];
  respFactorEM = pset.getParameter<double>("respFactorEM");
  eGridEM = pset.getParameter<vec1>("eGridEM");
 
  // e-gamma mean response and sigma in HF 
  vec1 _meanEM = pset.getParameter<vec1>("meanEM");
  vec1 _sigmaEM = pset.getParameter<vec1>("sigmaEM");

  //fill in 2D vectors (w/ correction factor applied)
  meanEM = vec2(maxEMe,vec1(maxEMeta,0));
  sigmaEM = vec2(maxEMe,vec1(maxEMeta,0));
  for(int i = 0; i < maxEMe; i++){
    for(int j = 0; j < maxEMeta; j++){
      meanEM[i][j] = respFactorEM * _meanEM[i*maxEMeta + j];
      sigmaEM[i][j] = respFactorEM * _sigmaEM[i*maxEMeta + j];
    }
  }

  // HF correction for SL
  //---------------------
  maxEta   = pset.getParameter<int>("maxEta");
  maxEne   = pset.getParameter<int>("maxEne");
  energyHF = pset.getParameter<vec1>("energyHF");
  corrHFg  = pset.getParameter<vec1>("corrHFg");
  corrHFh  = pset.getParameter<vec1>("corrHFh");
  corrHF   = vec1(maxEta,0);
}

double HCALResponse::getMIPfraction(double energy, double eta){
  int ieta = abs((int)(eta / etaStep)) ;
  int ie = -1;
  //check eta and det
  int det = getDet(ieta);
  int deta = ieta - HDeta[det];
  if(deta >= maxHDetas[det]) deta = maxHDetas[det] - 1;
  else if(deta < 0 ) deta = 0;
  //find energy range
  for (int i = 0; i < maxHDe[det]; i++) {
    if(energy < eGridHD[det][i])  {
      if(i == 0) return mipfraction [det][0][deta]; // less than minimal - the first value is used instead of extrapolating
      else ie = i-1;
      break;
    }
  }
  if(ie == -1) return mipfraction [det][maxHDe[det]-1][deta]; // more than maximal - the last value is used instead of extrapolating
  double y1, y2;
  double x1 = eGridHD[det][ie];
  double x2 = eGridHD[det][ie+1];
  y1=mipfraction[det][ie][deta];
  y2=mipfraction[det][ie+1][deta];
  double mean = 0;
  mean=(y1*(x2-energy) + y2*(energy-x1))/(x2-x1);
  return mean;
}

double HCALResponse::responseHCAL(int _mip, double energy, double eta, int partype, RandomEngineAndDistribution const* random) {


  int ieta = abs((int)(eta / etaStep)) ;
  int ie = -1;

  int mip;
  if(usemip) mip = _mip;
  else mip = 2; //ignore mip, use only overall (mip + nomip) parameters

  double mean = 0;
  
  // e/gamma in HF
  if(partype == 0) {
    //check eta
    ieta -= HDeta[2];  // HF starts at ieta=30 till ieta=51 
    // but resp.vector from index=0 through 20
    if(ieta >= maxEMeta ) ieta = maxEMeta-1;
    else if(ieta < 0) ieta = 0;
 
    //find energy range
    for (int i = 0; i < maxEMe; i++) {
      if(energy < eGridEM[i])  {
    if(i == 0) ie = 0; // less than minimal - back extrapolation with the 1st interval  
        else  ie = i-1;
        break;
      }
    }
    if(ie == -1) ie = maxEMe - 2; // more than maximum - extrapolation with last interval
    
    //do smearing
    mean = interEM(energy, ie, ieta, random);
  }
  
  // hadrons
  else if(partype == 1) {
    //check eta and det
    int det = getDet(ieta);
    int deta = ieta - HDeta[det];
    if(deta >= maxHDetas[det]) deta = maxHDetas[det] - 1;
    else if(deta < 0 ) deta = 0;
      
    //find energy range
    for (int i = 0; i < maxHDe[det]; i++) {
      if(energy < eGridHD[det][i])  {
    if(i == 0) ie = 0; // less than minimal - back extrapolation with the 1st interval
    else  ie = i-1;
    break;
      } 
    }
    if(ie == -1) ie = maxHDe[det] - 2; // more than maximum - extrapolation with last interval
      
    //different energy smearing for low energy hadrons in HF
    if(det==2 && energy <20 && deta>5){
      for (int i = 0; i < maxHDe[3]; i++) {
    if(energy < eGridHD[3][i])  {
      if(i == 0) ie = 0; // less than minimal - back extrapolation with the 1st interval
      else  ie = i-1;
      break;
    }
      }
    }
    //do smearing
    mean = interHD(mip, energy, ie, deta, det, random);
  }

  
  // muons
  else if(partype == 2) { 
    //check eta
    ieta = maxMUeta;
    for(int i = 0; i < maxMUeta; i++) {
      if(fabs(eta) < etaGridMU[i]) {
    ieta = i;  
    break;
      }      
    }
    if(ieta < 0) ieta = 0;
    
    if(ieta < maxMUeta) {  // HB-HE
      //find energy range
      for (int i = 0; i < maxMUe; i++) {
    if(energy < eGridMU[i])  {
      if(i == 0) ie = 0; // less than minimal - back extrapolation with the 1st interval
      else  ie = i-1;
      break;
    }
      }
      if(ie == -1) ie = maxMUe - 2; // more than maximum - extrapolation with last interval
      
      //do smearing
      mean = interMU(energy, ie, ieta, random);
      if(mean > energy) mean = energy;
    }
  }

  // debugging
  if(debug) {
    //  cout.width(6);
    LogInfo("FastCalorimetry") << std::endl
                   << " HCALResponse::responseHCAL, partype = " <<  partype 
                   << " E, eta = " << energy << " " << eta  
                   << "  mean = " << mean << std::endl;
  }  
  
  return mean;
}

double HCALResponse::interMU(double e, int ie, int ieta, RandomEngineAndDistribution const* random) {
  double x = random->flatShoot();

  int bin1 = maxMUbin;
  for(int i = 0; i < maxMUbin; i++) {
    if(x > responseMU[ie][ieta][i]) {
      bin1 = i-1;
      break;
    }
  }
  int bin2 = maxMUbin;
  for(int i = 0; i < maxMUbin; i++) {
    if(x > responseMU[ie+1][ieta][i]) {
      bin2 = i-1;
      break;
    }
  }
   
  double x1 = eGridMU[ie];
  double x2 = eGridMU[ie+1];
  double y1 = (bin1 + random->flatShoot()) * muStep;   
  double y2 = (bin2 + random->flatShoot()) * muStep;   

  if(debug) {
    //  cout.width(6);
    LogInfo("FastCalorimetry") << std::endl
                   << " HCALResponse::interMU  " << std::endl
                   << " x, x1-x2, y1-y2 = " 
                   << e << ", " << x1 <<"-" << x2 << " " << y1 <<"-" << y2 << std::endl; 
  
  }

  //linear interpolation
  double mean = (y1*(x2-e) + y2*(e-x1))/(x2-x1);

  if(debug) {
    //cout.width(6);
    LogInfo("FastCalorimetry") << std::endl
                   << " HCALResponse::interMU " << std::endl
                   << " e, ie, ieta = " << e << " " << ie << " " << ieta << std::endl
                   << " response  = " << mean << std::endl; 
  }

  return mean;
}

double HCALResponse::interHD(int mip, double e, int ie, int ieta, int det, RandomEngineAndDistribution const* random) {
  double x1, x2;
  double y1, y2;
  if(det==2) mip=2; //ignore mip status for HF 
  double mean = 0;
  vec1 pars(nPar,0);

  // for ieta < 5 there is overlap between HE and HF, and measurement comes from HE
  if (det==2 && ieta>5 && e<20){
  
    for(int p = 0; p < 4; p++){
      y1=PoissonParameters[p][ie][ieta];
      y2=PoissonParameters[p][ie+1][ieta];
      if(e>5){
    x1 = eGridHD[det+1][ie];
    x2 = eGridHD[det+1][ie+1];
    pars[p] = (y1*(x2-e) + y2*(e-x1))/(x2-x1);
      }
      else pars[p] = y1;
    }
    mean =random->poissonShoot((int (PoissonShootNoNegative(pars[0],pars[1],random))+(int (PoissonShootNoNegative(pars[2],pars[3],random)))/4+random->flatShoot()/4) *6)/(0.3755*6);
  }

  else{

    x1 = eGridHD[det][ie];
    x2 = eGridHD[det][ie+1];
    
    //calculate all parameters
    for(int p = 0; p < nPar; p++){
      y1 = parameters[p][mip][det][ie][ieta];
      y2 = parameters[p][mip][det][ie+1][ieta];
      
      //par-specific checks
      double custom = 0;
      bool use_custom = false;
      
      //do not let mu or sigma get extrapolated below zero for low energies
      //especially important for HF since extrapolation is used for E < 15 GeV
      if((p==0 || p==1) && e < x1){
    double tmp = (y1*x2-y2*x1)/(x2-x1); //extrapolate down to e=0
    if(tmp<0) { //require mu,sigma > 0 for E > 0
      custom = y1*e/x1;
      use_custom = true;
    }
      }
      //tail parameters have lower bounds - never extrapolate down
      else if((p==2 || p==3 || p==4 || p==5)){
    if(e < x1 && y1 < y2){
      custom = y1;
      use_custom = true;
    }
    else if(e > x2 && y2 < y1){
      custom = y2;
      use_custom = true;
    }
      }
      
      //linear interpolation
      if(use_custom) pars[p] = custom;
      else pars[p] = (y1*(x2-e) + y2*(e-x1))/(x2-x1);
    }
    
    //random smearing
    if(nPar==6) mean = cballShootNoNegative(pars[0],pars[1],pars[2],pars[3],pars[4],pars[5], random);
    else if(nPar==2) mean = gaussShootNoNegative(pars[0],pars[1], random); //gaussian fallback
  }
  return mean;
}


double HCALResponse::interEM(double e, int ie, int ieta, RandomEngineAndDistribution const* random) {
  double y1 = meanEM[ie][ieta]; 
  double y2 = meanEM[ie+1][ieta]; 
  double x1 = eGridEM[ie];
  double x2 = eGridEM[ie+1];
  
  if(debug) {
    //  cout.width(6);
    LogInfo("FastCalorimetry") << std::endl
                   << " HCALResponse::interEM mean " << std::endl
                   << " x, x1-x2, y1-y2 = " 
                   << e << ", " << x1 <<"-" << x2 << " " << y1 <<"-" << y2 << std::endl;
  }

  //linear interpolation
  double mean = (y1*(x2-e) + y2*(e-x1))/(x2-x1);     
  
  y1 = sigmaEM[ie][ieta]; 
  y2 = sigmaEM[ie+1][ieta]; 
  
  if(debug) {
    //  cout.width(6);
    LogInfo("FastCalorimetry") << std::endl
                   << " HCALResponse::interEM sigma" << std::endl
                   << " x, x1-x2, y1-y2 = " 
                   << e << ", " << x1 <<"-" << x2 << " " << y1 <<"-" << y2 << std::endl;
  }

  //linear interpolation
  double sigma = (y1*(x2-e) + y2*(e-x1))/(x2-x1);
  
  //random smearing
  double rndm = gaussShootNoNegative(mean, sigma, random);
  
  return rndm;
}

// Old parameterization of the calo response to hadrons
double HCALResponse::getHCALEnergyResponse(double e, int hit, RandomEngineAndDistribution const* random){
  //response
  double s = eResponseScale[hit];
  double n = eResponseExponent;
  double p = eResponsePlateau[hit];
  double c = eResponseCoefficient;

  double response = e * p / (1+c*exp(n * log(s/e)));

  if(response<0.) response = 0.;

  //resolution
  double resolution;
  if(hit==hcforward) 
    resolution = e *sqrt( RespPar[VFCAL][1][0]*RespPar[VFCAL][1][0] / e + RespPar[VFCAL][1][1]*RespPar[VFCAL][1][1] );
  else
    resolution = e * sqrt( RespPar[HCAL][hit][0]*RespPar[HCAL][hit][0]/(e) + RespPar[HCAL][hit][1]*RespPar[HCAL][hit][1] );   
  
  //random smearing
  double rndm = gaussShootNoNegative(response, resolution, random);
  
  return rndm;
}

//find subdet and eta offset
int HCALResponse::getDet(int ieta){
  int d;
  for(d = 0; d < 2; d++){
    if(ieta < HDeta[d+1]){
      break;
    }
  }
  return d;
}

// Remove (most) hits with negative energies
double HCALResponse::gaussShootNoNegative(double e, double sigma, RandomEngineAndDistribution const* random) {
  double out = random->gaussShoot(e,sigma);
  if (e >= 0.) {
    while (out < 0.) out = random->gaussShoot(e,sigma);
  }
  //else give up on re-trying, otherwise too much time can be lost before emeas comes out positive

  return out;
}

// Remove (most) hits with negative energies
double HCALResponse::cballShootNoNegative(double mu, double sigma, double aL, double nL, double aR, double nR,
                                          RandomEngineAndDistribution const* random) {
  double out = cball.shoot(mu,sigma,aL,nL,aR,nR, random);
  if (mu >= 0.) {
    while (out < 0.) out = cball.shoot(mu,sigma,aL,nL,aR,nR, random);
  }
  //else give up on re-trying, otherwise too much time can be lost before emeas comes out positive

  return out;
}
double HCALResponse::PoissonShootNoNegative(double e, double sigma,RandomEngineAndDistribution const* random) {
  double out = -1;
  while (out < 0.) {
    out = random->poissonShoot(e);
    out = out + sigma;
  }
  return out;

}

void HCALResponse::correctHF(double ee, int type) {

  int jmin = 0;
  for (int i = 0; i < maxEne; i++) {
    if(ee >= energyHF[i]) jmin = i;
  }

  double x1, x2, y1, y2;
  for(int i=0; i<maxEta; ++i) {
    if(ee < energyHF[0]) {
      if(abs(type)==11 || abs(type)==22) corrHF[i] = corrHFg[i];
      else corrHF[i] = corrHFh[i];
    } else if(jmin >= maxEne-1) {
      if(abs(type)==11 || abs(type)==22) corrHF[i] = corrHFg[maxEta*jmin+i];
      else corrHF[i] = corrHFh[maxEta*jmin+i];
    } else {    
      x1 = energyHF[jmin];
      x2 = energyHF[jmin+1];
      if(abs(type)==11 || abs(type)==22) {
    y1 = corrHFg[maxEta*jmin+i];
    y2 = corrHFg[maxEta*(jmin+1)+i];
      } else {
    y1 = corrHFh[maxEta*jmin+i];
    y2 = corrHFh[maxEta*(jmin+1)+i];
      }  
      corrHF[i] = y1 + (ee-x1)*((y2-y1)/(x2-x1));
    } 
  }

}