#include <VoronoiAlgorithm.h>

Classes
class	particle_t

Public Member Functions
void	clear (void)

size_t	nedge_pseudorapidity (void) const

std::vector< double >	particle_area (void)

std::vector< std::set< size_t > >	particle_incident (void)

std::vector< double >	perp_fourier (void)

void	push_back_particle (const double perp, const double pseudorapidity, const double azimuth, const unsigned int reduced_particle_flow_id)

std::vector< double >	subtracted_equalized_perp (void)

std::vector< double >	subtracted_unequalized_perp (void)

	VoronoiAlgorithm (const UECalibration *ue, const double dr_max, const std::pair< double, double > equalization_threshold=std::pair< double, double >(5.0, 35.0), const bool remove_nonpositive=true)

	~VoronoiAlgorithm (void)

Static Public Attributes
static const size_t	nfourier = 5

static const size_t	nreduced_particle_flow_id = 3

Protected Attributes
std::vector< bool >	_active

std::vector< double >	_cms_ecal_edge_pseudorapidity

std::vector< double >	_cms_hcal_edge_pseudorapidity

std::vector< double >	_edge_pseudorapidity

std::pair< double, double >	_equalization_threshold

event_t	_event

std::vector< double >	_feature

void *	_lp_environment

void *	_lp_problem

std::vector< size_t >	_nblock_subtract

size_t	_ncost

boost::multi_array< double, 4 > *	_perp_fourier

double	_positive_bound_scale

double	_radial_distance_square_max

std::vector< std::pair< size_t, size_t > >	_recombine

std::vector< std::vector < size_t > >	_recombine_index

std::vector< double >	_recombine_tie

std::vector< std::vector < size_t > >	_recombine_unsigned

bool	_remove_nonpositive

bool	_subtracted

const UECalibration *	ue

Private Types
typedef CGAL::Delaunay_triangulation_2 < CGAL::Exact_predicates_inexact_constructions_kernel >	delaunay_triangulation_t

typedef std::vector< particle_t >	event_t

typedef delaunay_triangulation_t::Point	point_2d_t

typedef CGAL::Polygon_2 < CGAL::Exact_predicates_inexact_constructions_kernel >	polygon_t

typedef CGAL::Voronoi_diagram_2 < delaunay_triangulation_t, CGAL::Delaunay_triangulation_adaptation_traits_2 < delaunay_triangulation_t > , CGAL::Delaunay_triangulation_caching_degeneracy_removal_policy_2 < delaunay_triangulation_t > >	voronoi_diagram_t

Private Member Functions
void	allocate (void)

void	deallocate (void)

void	equalize (void)

void	event_fourier (void)

void	feature_extract (void)

void	initialize_geometry (void)

void	lp_populate (void *lp_problem)

void	recombine_link (void)

void	remove_nonpositive (void)

void	subtract_if_necessary (void)

void	subtract_momentum (void)

void	voronoi_area_incident (void)

Detailed Description

Definition at line 18 of file VoronoiAlgorithm.h.

Member Typedef Documentation

typedef CGAL::Delaunay_triangulation_2< CGAL::Exact_predicates_inexact_constructions_kernel> VoronoiAlgorithm::delaunay_triangulation_t

private

Definition at line 23 of file VoronoiAlgorithm.h.

typedef std::vector<particle_t> VoronoiAlgorithm::event_t

private

Definition at line 48 of file VoronoiAlgorithm.h.

typedef delaunay_triangulation_t::Point VoronoiAlgorithm::point_2d_t

private

Definition at line 24 of file VoronoiAlgorithm.h.

typedef CGAL::Polygon_2< CGAL::Exact_predicates_inexact_constructions_kernel> VoronoiAlgorithm::polygon_t

private

Definition at line 59 of file VoronoiAlgorithm.h.

typedef CGAL::Voronoi_diagram_2< delaunay_triangulation_t, CGAL::Delaunay_triangulation_adaptation_traits_2< delaunay_triangulation_t>, CGAL:: Delaunay_triangulation_caching_degeneracy_removal_policy_2< delaunay_triangulation_t> > VoronoiAlgorithm::voronoi_diagram_t

private

Definition at line 56 of file VoronoiAlgorithm.h.

Constructor & Destructor Documentation

VoronoiAlgorithm::VoronoiAlgorithm	(	const UECalibration *	ue,
		const double	dr_max,
		const std::pair< double, double >	equalization_threshold = `std::pair<double, double>(5.0, 35.0)`,
		const bool	remove_nonpositive = `true`
	)

Definition at line 1842 of file VoronoiAlgorithm.cc.

References _edge_pseudorapidity, allocate(), initialize_geometry(), and nedge_pseudorapidity().

             : _remove_nonpositive(remove_nonpositive),
               _equalization_threshold(equalization_threshold),
               _radial_distance_square_max(dr_max * dr_max),
               _positive_bound_scale(0.2),
               _subtracted(false),
               ue(ue_)
         {
             initialize_geometry();
 
             static const size_t nedge_pseudorapidity = 15 + 1;
             static const double edge_pseudorapidity[nedge_pseudorapidity] = {
                 -5.191, -2.650, -2.043, -1.740, -1.479, -1.131, -0.783, -0.522, 0.522, 0.783, 1.131, 1.479, 1.740, 2.043, 2.650, 5.191
             };
 
             _edge_pseudorapidity = std::vector<double>(
                 edge_pseudorapidity,
                 edge_pseudorapidity + nedge_pseudorapidity);
             allocate();
         }

VoronoiAlgorithm::~VoronoiAlgorithm ( void )

Definition at line 1867 of file VoronoiAlgorithm.cc.

References deallocate().

         {
             deallocate();
         }

Member Function Documentation

void VoronoiAlgorithm::allocate ( void )

private

Definition at line 942 of file VoronoiAlgorithm.cc.

References _edge_pseudorapidity, _perp_fourier, nfourier, and nreduced_particle_flow_id.

Referenced by VoronoiAlgorithm().

         {
             _perp_fourier = new boost::multi_array<double, 4>(
                 boost::extents[_edge_pseudorapidity.size() - 1]
                 [nreduced_particle_flow_id][nfourier][2]);
         }

void VoronoiAlgorithm::clear ( void )

Clears the list of unsubtracted particles

Definition at line 1894 of file VoronoiAlgorithm.cc.

References _event, and _subtracted.

Referenced by VoronoiBackgroundProducer::produce().

         {
             _event.clear();
             _subtracted = false;
         }

void VoronoiAlgorithm::deallocate ( void )

private

Definition at line 948 of file VoronoiAlgorithm.cc.

References _perp_fourier.

Referenced by ~VoronoiAlgorithm().

         {
             delete _perp_fourier;
         }

void VoronoiAlgorithm::equalize ( void )

private

Definition at line 1783 of file VoronoiAlgorithm.cc.

References _event, _lp_environment, _nblock_subtract, _ncost, _recombine, plotBeamSpotDB::first, relval_2017::k, lp_populate(), pi, recombine_link(), edm::second(), and x.

Referenced by subtract_if_necessary().

         {
             bpmpd_problem_t lp_problem = reinterpret_cast<bpmpd_environment_t *>(_lp_environment)->problem();
 
             recombine_link();
             lp_populate(&lp_problem);
             lp_problem.optimize();
 
             int solution_status;
             double objective_value;
             std::vector<double> x;
             std::vector<double> pi;
 
             lp_problem.solve(solution_status, objective_value,
                               x, pi);
 
             for (size_t k = _ncost; k < x.size(); k++) {
                 if (_event[_recombine[k - _ncost].first].
                     momentum_perp_subtracted < 0 &&
                     _event[_recombine[k - _ncost].second].
                     momentum_perp_subtracted >= 0 && x[k] >= 0) {
                 _event[_recombine[k - _ncost].first].
                     momentum_perp_subtracted += x[k];
                 _event[_recombine[k - _ncost].second].
                     momentum_perp_subtracted -= x[k];
                 }
             }
             for (size_t k = 0; k < _event.size(); k++) {
                 if (_nblock_subtract[k] != 0 &&
                     x[_nblock_subtract[k]] >= 0) {
                     _event[k].momentum_perp_subtracted -=
                         x[_nblock_subtract[k]];
                 }
             }
         }

void VoronoiAlgorithm::event_fourier ( void )

private

Definition at line 952 of file VoronoiAlgorithm.cc.

References _edge_pseudorapidity, _event, _perp_fourier, funct::cos(), lumiContext::fill, relval_2017::k, cmsLHEtoEOSManager::l, nfourier, and funct::sin().

Referenced by subtract_if_necessary().

         {
             std::fill(_perp_fourier->data(),
                       _perp_fourier->data() +
                       _perp_fourier->num_elements(),
                       0);
 
             for (std::vector<particle_t>::const_iterator iterator =
                      _event.begin();
                  iterator != _event.end(); iterator++) {
                 const unsigned int reduced_id =
                     iterator->reduced_particle_flow_id;
 
                 for (size_t k = 1; k < _edge_pseudorapidity.size();
                      k++) {
                     if (iterator->momentum.Eta() >=
                         _edge_pseudorapidity[k - 1] &&
                         iterator->momentum.Eta() <
                         _edge_pseudorapidity[k]) {
                         const double azimuth =
                             iterator->momentum.Phi();
 
                         for (size_t l = 0; l < nfourier; l++) {
                             (*_perp_fourier)[k - 1][reduced_id]
                                 [l][0] +=
                                 iterator->momentum.Pt() *
                                 cos(l * azimuth);
                             (*_perp_fourier)[k - 1][reduced_id]
                                 [l][1] +=
                                 iterator->momentum.Pt() *
                                 sin(l * azimuth);
                         }
                     }
                 }
             }
         }

void VoronoiAlgorithm::feature_extract ( void )

private

Definition at line 988 of file VoronoiAlgorithm.cc.

References _edge_pseudorapidity, _feature, j, relval_2017::k, nfourier, nreduced_particle_flow_id, pileupReCalc_HLTpaths::scale, and mathSSE::sqrt().

Referenced by subtract_if_necessary().

         {
             const size_t nfeature = 2 * nfourier - 1;
 
             _feature.resize(nfeature);
 
             // Scale factor to get 95% of the coefficient below 1.0
             // (where however one order of magnitude tolerance is
             // acceptable). This is valid for nfourier < 18 (where
             // interference behavior with the HF geometry starts to
             // appear)
 
             std::vector<double> scale(nfourier, 1.0 / 200.0);
 
             if (nfourier >= 1) {
                 scale[0] = 1.0 / 5400.0;
             }
             if (nfourier >= 2) {
                 scale[1] = 1.0 / 130.0;
             }
             if (nfourier >= 3) {
                 scale[2] = 1.0 / 220.0;
             }
 
             const size_t index_edge_end =
                 _edge_pseudorapidity.size() - 2;
 
             _feature[0] = 0;
             for (size_t j = 0; j < nreduced_particle_flow_id; j++) {
               _feature[0] += scale[0] *
                 ((*_perp_fourier)[0             ][j][0][0] +
                  (*_perp_fourier)[index_edge_end][j][0][0]);
             }
             
             for (size_t k = 1; k < nfourier; k++) {
               _feature[2 * k - 1] = 0;
               for (size_t j = 0; j < nreduced_particle_flow_id; j++) {
                 _feature[2 * k - 1] += scale[k] *
                   ((*_perp_fourier)[0             ][j][k][0] +
                  (*_perp_fourier)[index_edge_end][j][k][0]);
                 }
               _feature[2 * k] = 0;
               for (size_t j = 0; j < nreduced_particle_flow_id; j++) {
                 _feature[2 * k] += scale[k] *
                   ((*_perp_fourier)[0             ][j][k][1] +
                  (*_perp_fourier)[index_edge_end][j][k][1]);
                 }
             }
 
 
 #if 0
             const double event_plane = atan2(_feature[4], _feature[3]);
             const double v2 =
                 sqrt(_feature[3] * _feature[3] +
                      _feature[4] * _feature[4]) / _feature[0];
 #endif
         }

void VoronoiAlgorithm::initialize_geometry ( void )

private

Definition at line 908 of file VoronoiAlgorithm.cc.

References _cms_ecal_edge_pseudorapidity, _cms_hcal_edge_pseudorapidity, and i.

Referenced by VoronoiAlgorithm().

         {
             static const size_t ncms_hcal_edge_pseudorapidity = 82 + 1;
             static const double cms_hcal_edge_pseudorapidity[
                 ncms_hcal_edge_pseudorapidity] = {
                 -5.191, -4.889, -4.716, -4.538, -4.363, -4.191, -4.013,
                 -3.839, -3.664, -3.489, -3.314, -3.139, -2.964, -2.853,
                 -2.650, -2.500, -2.322, -2.172, -2.043, -1.930, -1.830,
                 -1.740, -1.653, -1.566, -1.479, -1.392, -1.305, -1.218,
                 -1.131, -1.044, -0.957, -0.879, -0.783, -0.696, -0.609,
                 -0.522, -0.435, -0.348, -0.261, -0.174, -0.087,
                  0.000,
                  0.087,  0.174,  0.261,  0.348,  0.435,  0.522,  0.609,
                  0.696,  0.783,  0.879,  0.957,  1.044,  1.131,  1.218,
                  1.305,  1.392,  1.479,  1.566,  1.653,  1.740,  1.830,
                  1.930,  2.043,  2.172,  2.322,  2.500,  2.650,  2.853,
                  2.964,  3.139,  3.314,  3.489,  3.664,  3.839,  4.013,
                  4.191,  4.363,  4.538,  4.716,  4.889,  5.191
             };
 
             _cms_hcal_edge_pseudorapidity = std::vector<double>(
                 cms_hcal_edge_pseudorapidity,
                 cms_hcal_edge_pseudorapidity +
                 ncms_hcal_edge_pseudorapidity);
 
             static const size_t ncms_ecal_edge_pseudorapidity = 344 + 1;
 
             for (size_t i = 0; i < ncms_ecal_edge_pseudorapidity; i++) {
                 _cms_ecal_edge_pseudorapidity.push_back(
                     i * (2 * 2.9928 /
                          (ncms_ecal_edge_pseudorapidity - 1)) -
                     2.9928);
             }
         }

void VoronoiAlgorithm::lp_populate ( void * lp_problem )

private

Definition at line 1414 of file VoronoiAlgorithm.cc.

References _active, _equalization_threshold, _event, _nblock_subtract, _ncost, _positive_bound_scale, _recombine_index, _recombine_tie, _recombine_unsigned, alignCSCRings::e, cond::serialization::equal(), i, infinity, M_PI, bookConverter::max, min(), nedge_pseudorapidity(), AlCaHLTBitMon_ParallelJobs::p, jetcorrextractor::sign(), and histoStyle::weight.

Referenced by equalize().

         {
             bpmpd_problem_t *p = reinterpret_cast<bpmpd_problem_t *>(lp_problem);
 
             // The minimax problem is transformed into the LP notation
             // using the cost variable trick:
             //
             // Minimize c
             // Subject to:
             // c + sum_l t_kl + n_k >= 0 for negative cells n_k
             // c - sum_k t_kl + p_l >= 0 for positive cells p_l
 
             // Common LP mistakes during code development and their
             // CPLEX errors when running CPLEX in data checking mode:
             //
             // Error 1201 (column index ... out of range): Bad column
             // indexing, usually index_column out of bound for the
             // cost variables.
             //
             // Error 1222 (duplicate entry): Forgetting to increment
             // index_row, or index_column out of bound for the cost
             // variables.
 
             p->set_objective_sense(bpmpd_problem_t::minimize);
 
             // Rows (RHS of the constraints) of the LP problem
 
             static const size_t nsector_azimuth = 12;
 
             // Approximatively 2 pi / nsector_azimuth segmentation of
             // the CMS HCAL granularity
 
             static const size_t ncms_hcal_edge_pseudorapidity = 19 + 1;
             static const double cms_hcal_edge_pseudorapidity[
                 ncms_hcal_edge_pseudorapidity] = {
                 -5.191, -4.538, -4.013,
                 -3.489, -2.853, -2.322, -1.830, -1.305, -0.783, -0.261,
                  0.261,  0.783,  1.305,  1.830,  2.322,  2.853,  3.489,
                  4.013,  4.538,  5.191
             };
 
             size_t nedge_pseudorapidity;
             const double *edge_pseudorapidity;
 
             nedge_pseudorapidity = ncms_hcal_edge_pseudorapidity;
             edge_pseudorapidity = cms_hcal_edge_pseudorapidity;
 
             const size_t nsuperblock = (nedge_pseudorapidity - 2) *
                 nsector_azimuth;
 
             size_t index_row = 0;
             for (size_t index_pseudorapidity = 0;
                  index_pseudorapidity < nedge_pseudorapidity - 2;
                  index_pseudorapidity++) {
                 for (size_t index_azimuth = 0;
                      index_azimuth < nsector_azimuth - 1;
                      index_azimuth++) {
                     const size_t index_column =
                         index_pseudorapidity * nsector_azimuth +
                         index_azimuth;
                     p->push_back_row(
                         bpmpd_problem_t::greater_equal, 0);
                     p->push_back_coefficient(
                         index_row, index_column, 1);
                     p->push_back_coefficient(
                         index_row, nsuperblock + index_column, -1);
                     index_row++;
                     p->push_back_row(
                         bpmpd_problem_t::greater_equal, 0);
                     p->push_back_coefficient(
                         index_row, index_column, 1);
                     p->push_back_coefficient(
                         index_row, nsuperblock + index_column + 1, -1);
                     index_row++;
                     p->push_back_row(
                         bpmpd_problem_t::greater_equal, 0);
                     p->push_back_coefficient(
                         index_row, index_column, 1);
                     p->push_back_coefficient(
                         index_row,
                         nsuperblock + index_column + nsector_azimuth, -1);
                     index_row++;
                     p->push_back_row(
                         bpmpd_problem_t::greater_equal, 0);
                     p->push_back_coefficient(
                         index_row, index_column, 1);
                     p->push_back_coefficient(
                         index_row,
                         nsuperblock + index_column + nsector_azimuth + 1,
                         -1);
                     index_row++;
                 }
                 const size_t index_column =
                     index_pseudorapidity * nsector_azimuth +
                     nsector_azimuth - 1;
                 p->push_back_row(
                     bpmpd_problem_t::greater_equal, 0);
                 p->push_back_coefficient(
                     index_row, index_column, 1);
                 p->push_back_coefficient(
                     index_row, nsuperblock + index_column, -1);
                 index_row++;
                 p->push_back_row(
                     bpmpd_problem_t::greater_equal, 0);
                 p->push_back_coefficient(
                     index_row, index_column, 1);
                 p->push_back_coefficient(
                     index_row,
                     nsuperblock + index_column - (nsector_azimuth - 1),
                     -1);
                 index_row++;
                 p->push_back_row(
                     bpmpd_problem_t::greater_equal, 0);
                 p->push_back_coefficient(
                     index_row, index_column, 1);
                 p->push_back_coefficient(
                     index_row,
                     nsuperblock + index_column + nsector_azimuth, -1);
                 index_row++;
                 p->push_back_row(
                     bpmpd_problem_t::greater_equal, 0);
                 p->push_back_coefficient(
                     index_row, index_column, 1);
                 p->push_back_coefficient(
                     index_row,
                     nsuperblock + index_column + nsector_azimuth -
                     (nsector_azimuth - 1),
                     -1);
                 index_row++;
             }
 
             const size_t nstaggered_block =
                 (nedge_pseudorapidity - 1) * nsector_azimuth;
             const size_t nblock = nsuperblock + 2 * nstaggered_block;
 
             _nblock_subtract = std::vector<size_t>(_event.size(), 0);
 
             std::vector<size_t>
                 positive_index(_event.size(), _event.size());
             size_t positive_count = 0;
 
             for (std::vector<particle_t>::const_iterator iterator =
                      _event.begin();
                  iterator != _event.end(); iterator++) {
                 if (iterator->momentum_perp_subtracted >= 0) {
                     positive_index[iterator - _event.begin()] =
                         positive_count;
                     positive_count++;
                 }
             }
 
             _ncost = nblock + positive_count;
 
             const double sum_unequalized_0 = _equalization_threshold.first;
             const double sum_unequalized_1 = (2.0 / 3.0) * _equalization_threshold.first + (1.0 / 3.0) * _equalization_threshold.second;
             const double sum_unequalized_2 = (1.0 / 3.0) * _equalization_threshold.first + (2.0 / 3.0) * _equalization_threshold.second;
             const double sum_unequalized_3 = _equalization_threshold.second;
 
             std::vector<particle_t>::const_iterator
                 iterator_particle = _event.begin();
             std::vector<bool>::const_iterator iterator_active =
                 _active.begin();
             std::vector<std::vector<size_t> >::const_iterator
                 iterator_recombine_index_outer =
                 _recombine_index.begin();
             std::vector<std::vector<size_t> >::const_iterator
                 iterator_recombine_unsigned_outer =
                 _recombine_unsigned.begin();
             size_t index_column_max = _ncost - 1;
             for (; iterator_particle != _event.end();
                  iterator_particle++, iterator_active++,
                      iterator_recombine_index_outer++,
                      iterator_recombine_unsigned_outer++) {
                 if (*iterator_active) {
                     int index_pseudorapidity = -1;
 
                     for (size_t i = 1; i < nedge_pseudorapidity; i++) {
                         if (iterator_particle->momentum.Eta() >= edge_pseudorapidity[i - 1] &&
                             iterator_particle->momentum.Eta() < edge_pseudorapidity[i]) {
                             index_pseudorapidity = i - 1;
                         }
                     }
 
                     const int index_azimuth = floor(
                         (iterator_particle->momentum.Phi() + M_PI) *
                         ((nsector_azimuth >> 1) / M_PI));
 
                     if (index_pseudorapidity != -1) {
                         // p_i - sum t - u = c_i
                         // or: c_i + u + sum_t = p_i
                         // n_i + sum t - u <= 0
                         // or: u - sum_t >= n_i
 
                         // Inequality RHS
                         p->push_back_row(
                             iterator_particle->momentum_perp_subtracted >= 0 ?
                             bpmpd_problem_t::equal :
                             bpmpd_problem_t::greater_equal,
                             iterator_particle->momentum_perp_subtracted);
 
                         // Energy transfer coefficients t_kl
                         const double sign = iterator_particle->momentum_perp_subtracted >= 0 ? 1 : -1;
                         const size_t index_column_block_subtract =
                             nsuperblock +
                             (nedge_pseudorapidity - 1) * nsector_azimuth +
                             index_pseudorapidity * nsector_azimuth +
                             index_azimuth;
 
                         _nblock_subtract[iterator_particle - _event.begin()] =
                             index_column_block_subtract;
 
                         if (iterator_particle->momentum_perp_subtracted >= 0) {
                             const size_t index_column_cost =
                                 nblock + positive_index[iterator_particle - _event.begin()];
 
                             p->push_back_coefficient(
                                 index_row, index_column_cost, 1);
                             index_column_max =
                                 std::max(index_column_max, index_column_cost);
                         }
                         p->push_back_coefficient(
                             index_row, index_column_block_subtract, 1);
                         index_column_max =
                             std::max(index_column_max, index_column_block_subtract);
 
                         for (std::vector<size_t>::const_iterator
                                  iterator_recombine_index_inner =
                                  iterator_recombine_index_outer->begin();
                              iterator_recombine_index_inner !=
                                  iterator_recombine_index_outer->end();
                              iterator_recombine_index_inner++) {
                             const size_t index_column =
                                 *iterator_recombine_index_inner +
                                 _ncost;
 
                             p->push_back_coefficient(
                                 index_row, index_column, sign);
                             index_column_max =
                                 std::max(index_column_max, index_column);
                         }
                         index_row++;
 
                         const size_t index_column_block =
                             nsuperblock +
                             index_pseudorapidity * nsector_azimuth +
                             index_azimuth;
 
                         // sum_R c_i - o_i >= -d
                         // or: d + sum_R c_i >= o_i
                         // sum_R c_i - o_i <= d
                         // or: d - sum_R c_i >= -o_i
 
                         double sum_unequalized;
 
                         sum_unequalized = 0;
                         for (std::vector<size_t>::const_iterator
                                  iterator_recombine_unsigned_inner =
                                  iterator_recombine_unsigned_outer->begin();
                              iterator_recombine_unsigned_inner !=
                                  iterator_recombine_unsigned_outer->end();
                              iterator_recombine_unsigned_inner++) {
                             sum_unequalized +=
                                 _event[*iterator_recombine_unsigned_inner].momentum_perp_subtracted;
                         }
                         sum_unequalized = std::max(0.0, sum_unequalized);
 
                         if (sum_unequalized >= sum_unequalized_3 ||
                             (sum_unequalized >= sum_unequalized_2 &&
                              (iterator_particle - _event.begin()) % 2 == 0) ||
                             (sum_unequalized >= sum_unequalized_1 &&
                              (iterator_particle - _event.begin()) % 4 == 0) ||
                             (sum_unequalized >= sum_unequalized_0 &&
                              (iterator_particle - _event.begin()) % 8 == 0)) {
 
                         const double weight = sum_unequalized *
                             std::min(1.0, std::max(1e-3,
                                 iterator_particle->area));
 
                         if (weight > 0) {
                             p->push_back_row(
                                 bpmpd_problem_t::greater_equal,
                                 sum_unequalized);
 
                             p->push_back_coefficient(
                                 index_row, index_column_block, 1.0 / weight);
 
                             for (std::vector<size_t>::const_iterator
                                      iterator_recombine_unsigned_inner =
                                      iterator_recombine_unsigned_outer->begin();
                                  iterator_recombine_unsigned_inner !=
                                      iterator_recombine_unsigned_outer->end();
                                  iterator_recombine_unsigned_inner++) {
                                 if (_event[*iterator_recombine_unsigned_inner].momentum_perp_subtracted >= 0) {
                                     const size_t index_column_cost =
                                         nblock +
                                         positive_index[*iterator_recombine_unsigned_inner];
 
                                     p->push_back_coefficient(
                                         index_row, index_column_cost, 1);
                                     index_column_max =
                                         std::max(index_column_max, index_column_cost);
                                 }
                             }
                             index_row++;
 
                             p->push_back_row(
                                 bpmpd_problem_t::greater_equal,
                                 -sum_unequalized);
 
                             p->push_back_coefficient(
                                 index_row, index_column_block, _positive_bound_scale / weight);
 
                             for (std::vector<size_t>::const_iterator iterator_recombine_unsigned_inner = iterator_recombine_unsigned_outer->begin();
                                  iterator_recombine_unsigned_inner != iterator_recombine_unsigned_outer->end();
                                  iterator_recombine_unsigned_inner++) {
                                 if (_event[*iterator_recombine_unsigned_inner].momentum_perp_subtracted >= 0) {
                                     const size_t index_column_cost =
                                         nblock +
                                         positive_index[*iterator_recombine_unsigned_inner];
 
                                     p->push_back_coefficient(
                                         index_row, index_column_cost, -1);
                                     index_column_max =
                                         std::max(index_column_max, index_column_cost);
                                 }
                             }
                             index_row++;
                         }
 
                         }
 
                     }
                 }
             }
 
             // Epsilon that breaks the degeneracy, in the same units
             // as the pT of the event (i.e. GeV)
             static const double epsilon_degeneracy = 1e-2;
 
             // Columns (variables and the objective coefficients) of
             // the LP problem
             //
             // Cost variables (objective coefficient 1)
             for (size_t i = 0; i < nsuperblock; i++) {
                 p->push_back_column(
                     1, 0, bpmpd_problem_t::infinity);
             }
             for (size_t i = nsuperblock; i < nsuperblock + nstaggered_block; i++) {
                 p->push_back_column(
                     0, 0, bpmpd_problem_t::infinity);
             }
             for (size_t i = nsuperblock + nstaggered_block; i < nsuperblock + 2 * nstaggered_block; i++) {
                 p->push_back_column(
                     0, 0, bpmpd_problem_t::infinity);
             }
             for (size_t i = nsuperblock + 2 * nstaggered_block; i < _ncost; i++) {
                 p->push_back_column(
                     0, 0, bpmpd_problem_t::infinity);
             }
             //fprintf(stderr, "%s:%d: %lu %lu\n", __FILE__, __LINE__, index_column_max, recombine_tie.size());
             // Energy transfer coefficients t_kl (objective
             // coefficient 0 + epsilon)
             for (size_t i = _ncost; i <= index_column_max; i++) {
                 p->push_back_column(
                     epsilon_degeneracy * _recombine_tie[i - _ncost],
                     0, bpmpd_problem_t::infinity);
             }
         }

size_t VoronoiAlgorithm::nedge_pseudorapidity ( void ) const

Definition at line 1992 of file VoronoiAlgorithm.cc.

References _edge_pseudorapidity.

Referenced by lp_populate(), and VoronoiAlgorithm().

         {
             return _edge_pseudorapidity.size();
         }

std::vector< double > VoronoiAlgorithm::particle_area ( void )

Returns the area in the Voronoi diagram diagram occupied by a given particle

Returns: vector of area

Definition at line 1938 of file VoronoiAlgorithm.cc.

References _event, runTheMatrix::ret, and subtract_if_necessary().

Referenced by VoronoiBackgroundProducer::produce().

         {
             subtract_if_necessary();
 
             std::vector<double> ret;
 
             for (std::vector<particle_t>::const_iterator iterator =
                      _event.begin();
                  iterator != _event.end(); iterator++) {
                 ret.push_back(iterator->area);
             }
 
             return ret;
         }

std::vector< std::set< size_t > > VoronoiAlgorithm::particle_incident ( void )

Returns the incident particles in the Delaunay diagram (particles that has a given particle as the nearest neighbor)

Returns: vector of sets of incident particles indices, using the original indexing

Definition at line 1960 of file VoronoiAlgorithm.cc.

References _event, alignCSCRings::e, runTheMatrix::ret, and subtract_if_necessary().

         {
             subtract_if_necessary();
 
             std::vector<std::set<size_t> > ret;
 
             for (std::vector<particle_t>::const_iterator
                      iterator_outer = _event.begin();
                  iterator_outer != _event.end(); iterator_outer++) {
                 std::set<size_t> e;
 
                 for (std::set<std::vector<particle_t>::iterator>::
                          const_iterator iterator_inner =
                          iterator_outer->incident.begin();
                      iterator_inner != iterator_outer->incident.begin();
                      iterator_inner++) {
                     e.insert(*iterator_inner - _event.begin());
                 }
                 ret.push_back(e);
             }
 
             return ret;
         }

std::vector< double > VoronoiAlgorithm::perp_fourier ( void )

Definition at line 1983 of file VoronoiAlgorithm.cc.

References _perp_fourier, and subtract_if_necessary().

Referenced by VoronoiBackgroundProducer::produce().

         {
             subtract_if_necessary();
 
             return std::vector<double>(
                 _perp_fourier->data(),
                 _perp_fourier->data() +
                 _perp_fourier->num_elements());
         }

void VoronoiAlgorithm::push_back_particle	(	const double	perp,
		const double	pseudorapidity,
		const double	azimuth,
		const unsigned int	reduced_particle_flow_id
	)

Add a new unsubtracted particle to the current event

Parameters

[in]	perp	transverse momentum
[in]	pseudorapidity	pseudorapidity
[in]	azimuth	azimuth
[in]	reduced_particle_flow_id	reduced particle flow ID, between 0 and 2 (inclusive)

Definition at line 1881 of file VoronoiAlgorithm.cc.

References _event, and AlCaHLTBitMon_ParallelJobs::p.

Referenced by VoronoiBackgroundProducer::produce().

         {
             math::PtEtaPhiELorentzVector p(perp, pseudorapidity, azimuth, NAN);
 
             p.SetE(p.P());
             _event.push_back(particle_t(p, reduced_particle_flow_id));
         }

void VoronoiAlgorithm::recombine_link ( void )

private

Definition at line 1286 of file VoronoiAlgorithm.cc.

References _active, _event, _radial_distance_square_max, _recombine, _recombine_index, _recombine_tie, _recombine_unsigned, begin, i, and j.

Referenced by equalize().

         {
             boost::multi_array<double, 2> radial_distance_square(
                 boost::extents[_event.size()][_event.size()]);
 
             for (std::vector<particle_t>::const_iterator
                      iterator_outer = _event.begin();
                  iterator_outer != _event.end(); iterator_outer++) {
                 radial_distance_square
                     [iterator_outer - _event.begin()]
                     [iterator_outer - _event.begin()] = 0;
 
                 for (std::vector<particle_t>::const_iterator
                          iterator_inner = _event.begin();
                      iterator_inner != iterator_outer;
                      iterator_inner++) {
                     const double deta = iterator_outer->momentum.Eta() -
                         iterator_inner->momentum.Eta();
                     const double dphi = angular_range_reduce(
                         iterator_outer->momentum.Phi() -
                         iterator_inner->momentum.Phi());
 
                     radial_distance_square
                         [iterator_outer - _event.begin()]
                         [iterator_inner - _event.begin()] =
                         deta * deta + dphi * dphi;
                     radial_distance_square
                         [iterator_inner - _event.begin()]
                         [iterator_outer - _event.begin()] =
                     radial_distance_square
                         [iterator_outer - _event.begin()]
                         [iterator_inner - _event.begin()];
                 }
             }
 
             _active.clear();
 
             for (std::vector<particle_t>::const_iterator
                      iterator_outer = _event.begin();
                  iterator_outer != _event.end(); iterator_outer++) {
                 double incident_area_sum = iterator_outer->area;
 
                 for (std::set<std::vector<particle_t>::iterator>::
                          const_iterator iterator_inner =
                          iterator_outer->incident.begin();
                      iterator_inner !=
                          iterator_outer->incident.end();
                      iterator_inner++) {
                     incident_area_sum += (*iterator_inner)->area;
                 }
                 _active.push_back(incident_area_sum < 2.0);
             }
 
             _recombine.clear();
             _recombine_index = std::vector<std::vector<size_t> >(
                 _event.size(), std::vector<size_t>());
             _recombine_unsigned = std::vector<std::vector<size_t> >(
                 _event.size(), std::vector<size_t>());
             _recombine_tie.clear();
 
             // 36 cells corresponds to ~ 3 layers, note that for
             // hexagonal tiling, cell in proximity = 3 * layer *
             // (layer + 1)
             static const size_t npair_max = 36;
 
             for (size_t i = 0; i < _event.size(); i++) {
                 for (size_t j = 0; j < _event.size(); j++) {
                     const bool active_i_j = _active[i] && _active[j];
                     const size_t incident_count =
                         _event[i].incident.count(_event.begin() + j) +
                         _event[j].incident.count(_event.begin() + i);
 
                     if (active_i_j &&
                         (radial_distance_square[i][j] <
                          _radial_distance_square_max ||
                          incident_count > 0)) {
                         _recombine_unsigned[i].push_back(j);
                     }
                 }
 
                 if (_event[i].momentum_perp_subtracted < 0) {
                     std::vector<double> radial_distance_square_list;
 
                     for (std::vector<size_t>::const_iterator iterator =
                              _recombine_unsigned[i].begin();
                          iterator != _recombine_unsigned[i].end();
                          iterator++) {
                         const size_t j = *iterator;
 
                         if (_event[j].momentum_perp_subtracted > 0) {
                             radial_distance_square_list.push_back(
                                 radial_distance_square[i][j]);
                         }
                     }
 
                     double radial_distance_square_max_equalization_cut =
                         _radial_distance_square_max;
 
                     if (radial_distance_square_list.size() >= npair_max) {
                         std::sort(radial_distance_square_list.begin(),
                                   radial_distance_square_list.end());
                         radial_distance_square_max_equalization_cut =
                             radial_distance_square_list[npair_max - 1];
                     }
 
                     for (std::vector<size_t>::const_iterator iterator =
                              _recombine_unsigned[i].begin();
                          iterator != _recombine_unsigned[i].end();
                          iterator++) {
                         const size_t j = *iterator;
 
                         if (_event[j].momentum_perp_subtracted > 0 &&
                             radial_distance_square[i][j] <
                             radial_distance_square_max_equalization_cut) {
                             _recombine_index[j].push_back(
                                 _recombine.size());
                             _recombine_index[i].push_back(
                                 _recombine.size());
                             _recombine.push_back(
                                 std::pair<size_t, size_t>(i, j));
                             _recombine_tie.push_back(
                                 radial_distance_square[i][j] /
                                 _radial_distance_square_max);
                         }
                     }
                 }
             }
         }

void VoronoiAlgorithm::remove_nonpositive ( void )

private

Definition at line 1818 of file VoronoiAlgorithm.cc.

References _event, and bookConverter::max.

Referenced by subtract_if_necessary().

         {
             for (std::vector<particle_t>::iterator iterator =
                      _event.begin();
                  iterator != _event.end(); iterator++) {
                 iterator->momentum_perp_subtracted = std::max(
                     0.0, iterator->momentum_perp_subtracted);
             }
         }

void VoronoiAlgorithm::subtract_if_necessary ( void )

private

Definition at line 1827 of file VoronoiAlgorithm.cc.

References _remove_nonpositive, _subtracted, equalize(), event_fourier(), feature_extract(), remove_nonpositive(), subtract_momentum(), and voronoi_area_incident().

Referenced by particle_area(), particle_incident(), perp_fourier(), subtracted_equalized_perp(), and subtracted_unequalized_perp().

         {
             if (!_subtracted) {
                 event_fourier();
                 feature_extract();
                 voronoi_area_incident();
                 subtract_momentum();
                 if (_remove_nonpositive) {
                     equalize();
                     remove_nonpositive();
                 }
                 _subtracted = true;
             }
         }

void VoronoiAlgorithm::subtract_momentum ( void )

private

Definition at line 1136 of file VoronoiAlgorithm.cc.

References _cms_ecal_edge_pseudorapidity, _cms_hcal_edge_pseudorapidity, _edge_pseudorapidity, _event, _feature, funct::cos(), create_public_lumi_plots::exp, j, cmsLHEtoEOSManager::l, visualization-live-secondInstance_cfg::m, M_PI, gen::n, nfourier, nreduced_particle_flow_id, connectstrParser::o, AlCaHLTBitMon_ParallelJobs::p, funct::sin(), ue, UECalibration::ue_interpolation_pf0, UECalibration::ue_interpolation_pf1, UECalibration::ue_interpolation_pf2, and UECalibration::ue_predictor_pf.

Referenced by subtract_if_necessary().

         {
             for (std::vector<particle_t>::iterator iterator =
                      _event.begin();
                  iterator != _event.end(); iterator++) {
                 int predictor_index = -1;
                 int interpolation_index = -1;
                 double density = 0;
                 double pred_0 = 0;
 
                 for (size_t l = 1; l < _edge_pseudorapidity.size(); l++) {
                     if (iterator->momentum.Eta() >=
                         _edge_pseudorapidity[l - 1] &&
                         iterator->momentum.Eta() <
                         _edge_pseudorapidity[l]) {
                         predictor_index = l - 1;
                     }
                 }
 
                 for (size_t j = 0; j < nreduced_particle_flow_id; j++) {
                 if (j == 2) {
                     // HCAL
                     for (size_t l = 1;
                          l < _cms_hcal_edge_pseudorapidity.size(); l++) {
                         if (iterator->momentum.Eta() >=
                             _cms_hcal_edge_pseudorapidity[l - 1] &&
                             iterator->momentum.Eta() <
                             _cms_hcal_edge_pseudorapidity[l]) {
                             interpolation_index = l - 1;
                         }
                     }
                 }
                 else {
                     // Tracks or ECAL clusters
                     for (size_t l = 1;
                          l < _cms_ecal_edge_pseudorapidity.size(); l++) {
                         if (iterator->momentum.Eta() >=
                             _cms_ecal_edge_pseudorapidity[l - 1] &&
                             iterator->momentum.Eta() <
                             _cms_ecal_edge_pseudorapidity[l]) {
                             interpolation_index = l - 1;
                         }
                     }
                 }
 
                 if (predictor_index >= 0 && interpolation_index >= 0) {
                     // Calculate the aggregated prediction and
                     // interpolation for the pseudorapidity segment
 
                     const double azimuth = iterator->momentum.Phi();
                     const float (*p)[2][82] =
 #ifdef STANDALONE
                         ue_predictor_pf[j][predictor_index]
 #else // STANDALONE
                         ue->ue_predictor_pf[j][predictor_index]
 #endif // STANDALONE
                         ;
                     double pred = 0;
 
                     for (size_t l = 0; l < nfourier; l++) {
                         const size_t norder = l == 0 ? 9 : 1;
 
                         for (size_t m = 0; m < 2; m++) {
                             float u = p[l][m][0];
 
                             for (size_t n = 0; n < 2 * nfourier - 1; n++) {
                                 if ((l == 0 && n == 0) || (l == 2 && (n == 3 || n == 4))) {
                                     u += p[l][m][9 * n + 1] * _feature[n];
                                     for (size_t o = 2; o < norder + 1; o++) {
                                         u += p[l][m][9 * n + o] *
                                             hermite_h_normalized(
                                             2 * o - 1, _feature[n]) *
                                             exp(-_feature[n] * _feature[n]);
                                     }
                                 }
                             }
 
                             pred += u * (l == 0 ? 1.0 : 2.0) *
                                 (m == 0 ? cos(l * azimuth) :
                                  sin(l * azimuth));
                             if (l == 0 && m == 0) {
                                 pred_0 += u /
                                     (2.0 * M_PI *
                                      (_edge_pseudorapidity[predictor_index + 1] -
                                       _edge_pseudorapidity[predictor_index]));
                             }
                         }
                     }
 
                     double interp = 0;
 
 #ifdef STANDALONE
                     if (j == 0) {
                         interp =
                             ue_interpolation_pf0[predictor_index][
                                 interpolation_index];
                     }
                     else if (j == 1) {
                         interp =
                             ue_interpolation_pf1[predictor_index][
                                 interpolation_index];
                     }
                     else if (j == 2) {
                         interp =
                             ue_interpolation_pf2[predictor_index][
                                 interpolation_index];
                     }
 #else // STANDALONE
                     if (j == 0) {
                         interp =
                             ue->ue_interpolation_pf0[predictor_index][
                                 interpolation_index];
                     }
                     else if (j == 1) {
                         interp =
                             ue->ue_interpolation_pf1[predictor_index][
                                 interpolation_index];
                     }
                     else if (j == 2) {
                         interp =
                             ue->ue_interpolation_pf2[predictor_index][
                                 interpolation_index];
                     }
 #endif // STANDALONE
                     // Interpolate down to the finely binned
                     // pseudorapidity
 
                     density += pred /
                         (2.0 * M_PI *
                          (_edge_pseudorapidity[predictor_index + 1] -
                           _edge_pseudorapidity[predictor_index])) *
                         interp;
                 }
                 }
 
                 if (std::isfinite(iterator->area) && density >= 0) {
                     // Subtract the PF candidate by density times
                     // Voronoi cell area
                     iterator->momentum_perp_subtracted =
                         iterator->momentum.Pt() -
                         density * iterator->area;
                 }
                 else {
                     iterator->momentum_perp_subtracted =
                         iterator->momentum.Pt();
                 }
                 iterator->momentum_perp_subtracted_unequalized =
                     iterator->momentum_perp_subtracted;
             }
         }

std::vector< double > VoronoiAlgorithm::subtracted_equalized_perp ( void )

Returns the transverse momenta of the subtracted particles

Returns: vector of transverse momenta

Definition at line 1904 of file VoronoiAlgorithm.cc.

References _event, runTheMatrix::ret, and subtract_if_necessary().

Referenced by VoronoiBackgroundProducer::produce().

         {
             subtract_if_necessary();
 
             std::vector<double> ret;
 
             for (std::vector<particle_t>::const_iterator iterator =
                      _event.begin();
                  iterator != _event.end(); iterator++) {
                 ret.push_back(iterator->momentum_perp_subtracted);
             }
 
             return ret;
         }

std::vector< double > VoronoiAlgorithm::subtracted_unequalized_perp ( void )

Definition at line 1918 of file VoronoiAlgorithm.cc.

References _event, runTheMatrix::ret, and subtract_if_necessary().

Referenced by VoronoiBackgroundProducer::produce().

         {
             subtract_if_necessary();
 
             std::vector<double> ret;
 
             for (std::vector<particle_t>::const_iterator iterator =
                     _event.begin();
                 iterator != _event.end(); iterator++) {
                 ret.push_back(iterator->momentum_perp_subtracted_unequalized);
             }
 
             return ret;
         }

void VoronoiAlgorithm::voronoi_area_incident ( void )

private

Definition at line 1045 of file VoronoiAlgorithm.cc.

References _event, patZpeak::handle, edm::eventsetup::heterocontainer::insert(), relval_2017::k, M_PI, NULL, AlCaHLTBitMon_ParallelJobs::p, and mps_fire::result.

Referenced by subtract_if_necessary().

         {
             // Make the Voronoi diagram
 
             voronoi_diagram_t diagram;
 
             // Reverse Voronoi face lookup
 #ifdef HAVE_SPARSEHASH
             // The "empty" or default value of the hash table
             const voronoi_diagram_t::Face face_empty;
             google::dense_hash_map<voronoi_diagram_t::Face_handle,
                 size_t, hash<voronoi_diagram_t::Face_handle> >
                 face_index;
 
             face_index.set_empty_key(face_empty);
 #else // HAVE_SPARSEHASH
             std::map<voronoi_diagram_t::Face_handle, size_t>
                 face_index;
 #endif // HAVE_SPARSEHASH
 
             for (std::vector<particle_t>::const_iterator iterator =
                      _event.begin();
                  iterator != _event.end(); iterator++) {
                 // Make two additional replicas with azimuth +/- 2 pi
                 // (and use only the middle) to mimick the azimuthal
                 // cyclicity
                 for (int k = -1; k <= 1; k++) {
                     const point_2d_t p(
                         iterator->momentum.Eta(),
                         iterator->momentum.Phi() +
                         k * (2 * M_PI));
                     const voronoi_diagram_t::Face_handle handle =
                         diagram.insert(p);
 
                     face_index[handle] = iterator - _event.begin();
                 }
             }
 
             // Extract the Voronoi cells as polygon and calculate the
             // area associated with individual particles
 
             for (std::vector<particle_t>::iterator iterator =
                      _event.begin();
                  iterator != _event.end(); iterator++) {
                 const voronoi_diagram_t::Locate_result result =
                     diagram.locate(*iterator);
                 const voronoi_diagram_t::Face_handle *face =
                     boost::get<voronoi_diagram_t::Face_handle>(
                         &result);
                 double polygon_area;
 
                 if (face != NULL) {
                     voronoi_diagram_t::Ccb_halfedge_circulator
                         circulator_start = (*face)->outer_ccb();
                     bool unbounded = false;
                     polygon_t polygon;
 
                     voronoi_diagram_t::Ccb_halfedge_circulator
                         circulator = circulator_start;
 
                     // Circle around the edges and extract the polygon
                     // vertices
                     do {
                         if (circulator->has_target()) {
                             polygon.push_back(
                                 circulator->target()->point());
                             _event[face_index[*face]].incident.
                                 insert(
                                     _event.begin() +
                                     face_index[circulator->twin()->
                                                face()]);
                         }
                         else {
                             unbounded = true;
                             break;
                         }
                     }
                     while (++circulator != circulator_start);
                     if (unbounded) {
                         polygon_area = INFINITY;
                     }
                     else {
                         polygon_area = polygon.area();
                     }
                 }
                 else {
                     polygon_area = NAN;
                 }
                 iterator->area = fabs(polygon_area);
             }
         }