BackgroundEstimatorBase.cc

//FJSTARTHEADER
// $Id$
//
// Copyright (c) 2005-2021, Matteo Cacciari, Gavin P. Salam and Gregory Soyez
//
//----------------------------------------------------------------------
// This file is part of FastJet.
//
//  FastJet is free software; you can redistribute it and/or modify
//  it under the terms of the GNU General Public License as published by
//  the Free Software Foundation; either version 2 of the License, or
//  (at your option) any later version.
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//  The algorithms that underlie FastJet have required considerable
//  development. They are described in the original FastJet paper,
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//  You should have received a copy of the GNU General Public License
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//FJENDHEADER
 
 
#include "fastjet/tools/BackgroundEstimatorBase.hh"
 
using namespace std;
 
FASTJET_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
 
LimitedWarning BackgroundEstimatorBase::_warnings_empty_area;
 
#ifdef FASTJET_HAVE_THREAD_SAFETY
BackgroundEstimatorBase::BackgroundEstimatorBase(const BackgroundEstimatorBase &other_bge){
  _rescaling_class = other_bge._rescaling_class;
  _cached_estimate = other_bge._cached_estimate;
  _cache_available = other_bge._cache_available;
  _writing_to_cache.store(other_bge._writing_to_cache.load());;
}
#endif
 
//----------------------------------------------------------------------
// given a quantity in a vector (e.g. pt_over_area) and knowledge
// about the number of empty jets, calculate the median and
// stand_dev_if_gaussian (roughly from the 16th percentile)
//
// If do_fj2_calculation is set to true then this performs FastJet
// 2.X estimation of the standard deviation, which has a spurious
// offset in the limit of a small number of jets.
void BackgroundEstimatorBase::_median_and_stddev(const vector<double> & quantity_vector, 
                                                 double n_empty_jets, 
                                                 double & median, 
                                                 double & stand_dev_if_gaussian,
                                                 bool do_fj2_calculation) const {
 
  // this check is redundant (the code below behaves sensibly even
  // with a zero size), but serves as a reminder of what happens if
  // the quantity vector is zero-sized
  if (quantity_vector.size() == 0) {
    median = 0;
    stand_dev_if_gaussian = 0;
    return;
  }
 
  vector<double> sorted_quantity_vector = quantity_vector;
  sort(sorted_quantity_vector.begin(), sorted_quantity_vector.end());
 
  // empty area can sometimes be negative; with small ranges this can
  // become pathological, so warn the user
  int n_jets_used = sorted_quantity_vector.size();
  if (n_empty_jets < -n_jets_used/4.0)
    _warnings_empty_area.warn("BackgroundEstimatorBase::_median_and_stddev(...): the estimated empty area is suspiciously large and negative and may lead to an over-estimation of rho. This may be due to (i) a rare statistical fluctuation or (ii) too small a range used to estimate the background properties.");
 
  // now get the median & error, accounting for empty jets;
  // define the fractions of distribution at median, median-1sigma
  double posn[2] = {0.5, (1.0-0.6827)/2.0};
  double res[2];
  for (int i = 0; i < 2; i++) {
    res[i] = _percentile(sorted_quantity_vector, posn[i], n_empty_jets, 
                         do_fj2_calculation);
  }
  
  median = res[0];
  stand_dev_if_gaussian = res[0] - res[1];
}
 
 
//----------------------------------------------------------------------
// computes a percentile of a given _sorted_ vector of quantities
//  - sorted_quantities        the (sorted) vector contains the data sample
//  - percentile               the percentile (defined between 0 and 1) to compute
//  - nempty                   an additional number of 0's
//                             (considered at the beginning of 
//                             the quantity vector)
//  - do_fj2_calculation       carry out the calculation as it
//                             was done in fj2 (suffers from "edge effects")
double BackgroundEstimatorBase::_percentile(const vector<double> & sorted_quantities, 
                                            const double percentile, 
                                            const double nempty,
                                            const bool do_fj2_calculation
                                            ) const {
  assert(percentile >= 0.0 && percentile <= 1.0);
 
  int quantities_size = sorted_quantities.size();
  if (quantities_size == 0) return 0;
 
  double total_njets = quantities_size + nempty;
  double percentile_pos;
  if (do_fj2_calculation) {
    percentile_pos = (total_njets-1)*percentile - nempty;
  } else {
    percentile_pos = (total_njets)*percentile - nempty - 0.5;
  }
 
  double result;
  if (percentile_pos >= 0 && quantities_size > 1) {
    int int_percentile_pos = int(percentile_pos);
 
    // avoid potential overflow issues
    if (int_percentile_pos+1 > quantities_size-1){
      int_percentile_pos = quantities_size-2;
      percentile_pos = quantities_size-1;
    }
 
    result =
      sorted_quantities[int_percentile_pos] * (int_percentile_pos+1-percentile_pos)
      + sorted_quantities[int_percentile_pos+1] * (percentile_pos - int_percentile_pos);
    
 
  } else if (percentile_pos > -0.5 && quantities_size >= 1 
             && !do_fj2_calculation) {
    // in the LHS of this "bin", just keep a constant value (we could have
    // interpolated to zero, but this might misbehave in cases where all jets
    // are active, because it would go to zero too fast)
    result = sorted_quantities[0];
  } else {
    result = 0.0;
  }
  return result;
 
 
}
 
void BackgroundEstimatorBase::_lock_if_needed() const{
#ifdef FASTJET_HAVE_THREAD_SAFETY
  bool expected;
  // the following waits until the cache_writing status is "false" and sets it to "true"
  do {
    expected = false;
  } while (!_writing_to_cache.compare_exchange_strong(expected, true,
                                                      memory_order_seq_cst,
                                                      memory_order_relaxed));
#endif // FASTJET_HAVE_THREAD_SAFETY
}
 
void BackgroundEstimatorBase::_unlock_if_needed() const{
#ifdef FASTJET_HAVE_THREAD_SAFETY
  // release the "write-in-progress" lock
  _writing_to_cache = false;
#endif
}
 
 
 
FASTJET_END_NAMESPACE        // defined in fastjet/internal/base.hh