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| // -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/FastJets.hh"
namespace Rivet {
namespace {
/// Number of event shape variables
/// @todo Move into the EventShape class
const int NEVTVAR = 5;
/// Number of leading jet pT thresholds
/// @todo Move into the analysis class
const int NJETPTMN = 5;
/// Leading jet pT thresholds
/// @todo Move into the analysis class
const double LEADINGPTTHRESHOLD[NJETPTMN] = { 110.0, 170.0, 250.0, 320.0, 390.0 };
// Helpers for event shape calculations in hidden namespace; implementation at bottom of file
/// @todo Why a class? Improve/remove this junk
class EventShape {
public:
/// Constructor from vectors of four-vectors as input objects in the event to calculate the event shapes
EventShape(const vector<double>& px_vector, const vector<double>& py_vector, const vector<double>& pz_vector,
const vector<double>& e_vector, double eta_central, int irap, int nmn)
: _object_px(px_vector), _object_py(py_vector), _object_pz(pz_vector),
_object_e(e_vector), _eta_c(eta_central), _irap(irap), _nmnjet(nmn)
{ }
/// @brief Returns the values of the five event shapes
///
/// Event shape indices:
/// 0. central transverse thrust
/// 1. central total jet broadening
/// 2. central total jet mass
/// 3. central total transverse jet mass
/// 4. central three-jet resolution threshold
vector<double> getEventShapes() {
_calculate(); ///< @todo There should be some test for success/failure!!
return _event_shapes;
}
/// Returns the global thrust axis Nx, Ny, Nz=0
vector<double> getThrustAxis() {
_calculate(); ///< @todo There should be some test for success/failure!!
return _thrust_axis;
}
/// Returns the central thrust axis Nx, Ny, Nz=0
vector<double> getThrustAxisC() {
_calculate(); ///< @todo There should be some test for success/failure!!
return _thrust_axis_c;
}
// /// @brief Choice of the central region
// void setEtaC(double eta_central) { _eta_c = eta_central; }
// // Whether to use the rapidity y (rap==1) or the pseudorapidity eta (rap==0)
// void setRapType(int irap) { _irap = irap; }
private:
/// Calculate everything
int _calculate();
/// Returns the difference in phi between two vectors
double _delta_phi(double, double);
/// The Lorentz scalar product
double _lorentz_sp(const vector<double>&, const vector<double>&);
// Calculates the three-jet resolutions
double _three_jet_res(const vector<double>&, const vector<double>&, const vector<double>&, const vector<double>&, int);
// Calculates the thrust axis and the tau values
vector<double> _thrust(const vector<double>&, const vector<double>&);
vector<double> _object_px, _object_py, _object_pz, _object_p;
vector<double> _object_pt, _object_e, _object_phi, _object_eta;
vector<double> _event_shapes;
vector<double> _thrust_axis, _thrust_axis_c;
double _eta_c;
int _irap;
size_t _nmnjet;
};
}
class CMS_2014_I1305624 : public Analysis {
public:
/// Constructor
CMS_2014_I1305624()
: Analysis("CMS_2014_I1305624")
{ }
/// @name Analysis methods
/// Book histograms and initialise projections before the run
void init() {
const FastJets jets(FinalState(Cuts::abseta < 2.6), FastJets::ANTIKT, 0.5);
declare(jets, "Jets");
for (int ij=0; ij < NJETPTMN; ij++) {
book(_h_thrustc[ij] ,1, 1, ij+1);
book(_h_broadt[ij] ,1, 2, ij+1);
book(_h_tot3dmass[ij] ,1, 3, ij+1);
book(_h_tottrnsmass[ij] ,1, 4, ij+1);
book(_h_y23c[ij] ,1, 5, ij+1);
//
}
_needBinInit = true;
}
/// Perform the per-event analysis
void analyze(const Event& event) {
if (_needBinInit) {
for (int ij=0; ij < NJETPTMN; ij++) {
_alow1[ij] = _h_thrustc[ij]->xMin();
_alow2[ij] = _h_broadt[ij]->xMin();
_alow3[ij] = _h_tot3dmass[ij]->xMin();
_alow4[ij] = _h_tottrnsmass[ij]->xMin();
_alow5[ij] = _h_y23c[ij]->xMin();
//
_ahgh1[ij] = _h_thrustc[ij]->xMax();
_ahgh2[ij] = _h_broadt[ij]->xMax();
_ahgh3[ij] = _h_tot3dmass[ij]->xMax();
_ahgh4[ij] = _h_tottrnsmass[ij]->xMax();
_ahgh5[ij] = _h_y23c[ij]->xMax();
_needBinInit = false;
}
}
const Jets& jets = apply<FastJets>(event, "Jets").jetsByPt(30.0*GeV);
if (jets.size() < 2) vetoEvent;
if (jets[0].abseta() > 2.4 || jets[1].abseta() > 2.4) vetoEvent;
const double leadingpt = jets[0].pT();
if (leadingpt < 110*GeV) vetoEvent;
vector<double> jtpx, jtpy, jtpz, jten;
for (const Jet& j : jets) {
if (j.abseta() < 2.4) {
jtpx.push_back(j.px());
jtpy.push_back(j.py());
jtpz.push_back(j.pz());
jten.push_back(j.E());
}
}
EventShape eventshape(jtpx, jtpy, jtpz, jten, 2.4, 0, 2);
const vector<double> eventvar = eventshape.getEventShapes();
if (eventvar[NEVTVAR] < 0) vetoEvent; // Jets are not only one hemisphere
const double weight = 1.0;
for (int ij = NJETPTMN-1; ij >= 0; --ij) {
if (leadingpt/GeV > LEADINGPTTHRESHOLD[ij]) {
if (inRange(eventvar[0], _alow1[ij], _ahgh1[ij])) _h_thrustc[ij]->fill(eventvar[0], weight);
if (inRange(eventvar[2], _alow3[ij], _ahgh3[ij])) _h_tot3dmass[ij]->fill(eventvar[2], weight);
if (inRange(eventvar[3], _alow4[ij], _ahgh4[ij])) _h_tottrnsmass[ij]->fill(eventvar[3], weight);
if (eventvar[NEVTVAR] >= 3) {
if (inRange(eventvar[1], _alow2[ij], _ahgh2[ij])) _h_broadt[ij]->fill(eventvar[1], weight);
if (inRange(eventvar[4], _alow5[ij], _ahgh5[ij])) _h_y23c[ij]->fill(eventvar[4], weight);
}
break;
}
}
}
/// Normalise histograms etc., after the run
void finalize() {
for (int ij = 0; ij < NJETPTMN; ij++) {
normalize(_h_thrustc[ij]);
normalize(_h_broadt[ij]);
normalize(_h_tot3dmass[ij]);
normalize(_h_tottrnsmass[ij]);
normalize(_h_y23c[ij]);
}
}
private:
/// @name Histograms
//@{
Histo1DPtr _h_thrustc[NJETPTMN];
Histo1DPtr _h_broadt[NJETPTMN];
Histo1DPtr _h_tot3dmass[NJETPTMN];
Histo1DPtr _h_tottrnsmass[NJETPTMN];
Histo1DPtr _h_y23c[NJETPTMN];
//@}
// Data members
bool _needBinInit;
double _alow1[NJETPTMN], _alow2[NJETPTMN], _alow3[NJETPTMN], _alow4[NJETPTMN], _alow5[NJETPTMN];
double _ahgh1[NJETPTMN], _ahgh2[NJETPTMN], _ahgh3[NJETPTMN], _ahgh4[NJETPTMN], _ahgh5[NJETPTMN];
};
RIVET_DECLARE_PLUGIN(CMS_2014_I1305624);
/////////////////////
namespace {
// EventShape helper class method implementations:
int EventShape::_calculate() {
if (!_event_shapes.empty() && !_thrust_axis.empty() && !_thrust_axis_c.empty())
return 1; //< return success if this appears to already have been run
const size_t length = (size_t) _object_px.size();
if (((size_t) _object_py.size() != length) ||
((size_t) _object_pz.size() != length) ||
((size_t) _object_e.size() != length)) {
/// @todo Change to exception or assert
// cout << "ERROR!!!! Input vectors differ in size! Change that please!" << '\n';
// cout<<"py_size: "<<_object_py.size()<<" ,pz_size: "<<_object_pz.size()
// <<" ,px_size: "<<_object_px.size()<<" ,E_size: "<<_object_e.size()<<'\n';
return 0;
}
if (!_object_p.empty()) {
_object_p.clear();
_object_pt.clear();
_object_eta.clear();
_object_phi.clear();
_event_shapes.clear();
_thrust_axis.clear();
_thrust_axis_c.clear();
}
for (size_t j = 0; j < length; j++) {
_object_p.push_back(0.);
_object_pt.push_back(0.);
_object_eta.push_back(0.);
_object_phi.push_back(0.);
}
for (int j = 0; j < NEVTVAR; j++) {
_event_shapes.push_back(-50.);
}
_event_shapes.push_back(double(_object_px.size())); //< WTF?
for (size_t j = 0; j < 3; j++) {
_thrust_axis.push_back(0.);
_thrust_axis_c.push_back(0.);
}
double theta = 0;
for (size_t k = 0; k < length; k++) {
_object_p[k] = sqrt(pow(_object_px[k],2) + pow(_object_py[k],2) + pow(_object_pz[k],2));
_object_pt[k] = sqrt(pow(_object_px[k],2) + pow(_object_py[k],2));
if (_object_p[k] > _object_e[k] + 1e-4) {
/// @todo Change to exception or assert
// cout << "ERROR!!! object " << k <<" has P = " << _object_p[k]
// << " which is bigger than E = " << _object_e[k] <<" "
// << _object_px[k] <<" "<< _object_py[k] <<" "
// << _object_pz[k] <<" of total length "<< length
// << '\n';
return 0;
}
//to prevent a division by zero
if (_irap == 0) {
if (fabs(_object_pz[k]) > 1e-5) {
theta = atan(_object_pt[k]/(_object_pz[k]));
} else {
theta = M_PI/2;
}
if (theta < 0.) theta = theta + M_PI;
_object_eta[k] = -log(tan(0.5*theta));
}
if (_irap == 1) {
if (_object_pz[k] == _object_e[k]) {
/// @todo Change to exception or assert
// cout << "ERROR!!! object "<<k<<" has Pz "<< _object_pz[k] <<" which is equal to E = "<< _object_e[k] <<'\n';
return 0;
}
_object_eta[k]=0.5*log((_object_e[k]+_object_pz[k])/(_object_e[k]-_object_pz[k]));
}
if (_irap != 0 && _irap != 1) {
/// @todo Change to exception or assert
// cout << "ERROR!!!, The choice to use the rapidity y or the pseudorapidity eta is not set correctly! Change that please!" << '\n';
return 0;
}
_object_phi[k] = atan2(_object_py[k], _object_px[k]);
}
vector<double> object_px_in, object_py_in, object_pz_in, object_pt_in, object_e_in, object_et_in, object_eta_in;
vector<double> object_px_out, object_py_out, object_pz_out, object_e_out, object_pt_out, object_eta_out;
if (!object_px_in.empty()) { //< FFS, this is impossible: it's only just been created!
object_px_in.clear();
object_py_in.clear();
object_pz_in.clear();
object_pt_in.clear();
object_e_in.clear();
object_et_in.clear();
object_eta_in.clear();
object_px_out.clear();
object_py_out.clear();
object_pz_out.clear();
object_pt_out.clear();
object_e_out.clear();
object_eta_out.clear();
}
size_t nin = 0;
for (size_t j = 0; j < length; j++) {
if (fabs(_object_eta[j]) < _eta_c) {
object_px_in.push_back(_object_px[j]);
object_py_in.push_back(_object_py[j]);
object_pz_in.push_back(_object_pz[j]);
object_e_in.push_back(_object_e[j]);
object_pt_in.push_back(sqrt(pow(_object_px[j],2)+pow(_object_py[j],2)));
object_et_in.push_back(sqrt((pow(_object_e[j],2)*pow(_object_pt[j],2))/(pow(_object_pt[j],2)+pow(_object_pz[j],2))));
object_eta_in.push_back(_object_eta[j]);
nin += 1;
} else {
object_px_out.push_back(_object_px[j]);
object_py_out.push_back(_object_py[j]);
object_pz_out.push_back(_object_pz[j]);
object_e_out.push_back(_object_e[j]);
object_pt_out.push_back(sqrt(pow(_object_px[j],2)+pow(_object_py[j],2)));
object_eta_out.push_back(_object_eta[j]);
}
}
if (object_px_in.size() != nin) {
/// @todo Change to exception or assert
cout<<"ERROR!!! wrong dimension of 'in' momenta"<<'\n';
//return 0; ///< @todo Why not do this?
}
const size_t nout = length - nin;
if (nin < _nmnjet) {
for (int i = 0; i < NEVTVAR; i++) {
_event_shapes[i] = -50.0;
}
}
_event_shapes[NEVTVAR] = nin;
if (nin >= _nmnjet) {
double p_sum_c = 0; //GMA
double pt_sum_c = 0;
double eta_cw=0;
double px_sum_in = 0;
double py_sum_in = 0;
for (size_t j = 0; j < nin; j++) {
pt_sum_c += object_pt_in[j];
p_sum_c += sqrt(pow(object_pt_in[j],2.) + pow(object_pz_in[j], 2.0)); //GMA
eta_cw += object_pt_in[j]*object_eta_in[j];
px_sum_in += object_px_in[j];
py_sum_in += object_py_in[j];
}
eta_cw /= pt_sum_c;
double expTerm = 0;
for (size_t j = 0; j < nout; j++) {
expTerm += object_pt_out[j] * exp(-fabs(object_eta_out[j]-eta_cw));
}
expTerm /= pt_sum_c;
//the central global transverse thrust centrthr is calculated
double centrthr = 0;
vector<double> thrust_central = _thrust(object_px_in, object_py_in);
for (size_t l=0; l<3; l++) _thrust_axis_c[l] = thrust_central[l];
//the variable which gets resummed is not thrust
//but tau = 1 - thrust - see calculation
centrthr = thrust_central[3];
_event_shapes[0] = centrthr;
double alpha_c = atan2(_thrust_axis_c[1], _thrust_axis_c[0]);
//central jet masses
//define two jet masses in region U and D
double cenjm_up = 0;
double cenjm_down= 0;
double dot_product = 0;
vector<double> up_sum;
vector<double> down_sum;
for (size_t j=0; j<4;j++) {
up_sum.push_back(0.);
down_sum.push_back(0.);
}
for (size_t i=0;i<nin;i++) {
dot_product = object_px_in[i] * _thrust_axis_c[0] + object_py_in[i] * _thrust_axis_c[1];
if (dot_product >= 0) {
up_sum[0]+=object_px_in[i];
up_sum[1]+=object_py_in[i];
up_sum[2]+=object_pz_in[i];
up_sum[3]+=object_e_in[i];
} else {
down_sum[0]+=object_px_in[i];
down_sum[1]+=object_py_in[i];
down_sum[2]+=object_pz_in[i];
down_sum[3]+=object_e_in[i];
}
}
cenjm_up = _lorentz_sp(up_sum, up_sum) / pow(p_sum_c, 2.); //GMA pow(pt_sum_c,2);
cenjm_down = _lorentz_sp(down_sum, down_sum) / pow(p_sum_c, 2.); //GMA pow(pt_sum_c,2);
//central total jet mass centotjm
double centotjm=0;
centotjm = cenjm_up + cenjm_down;
_event_shapes[2]=centotjm;
double centrjm_up=0, centrjm_down=0;
vector<double> upsum;
vector<double> downsum;
for (size_t j = 0; j < 3; j++) {
upsum.push_back(0.);
downsum.push_back(0.);
}
for (size_t i = 0; i < nin; i++) {
dot_product = object_px_in[i]*_thrust_axis_c[0]+object_py_in[i]*_thrust_axis_c[1];
if (dot_product >= 0) {
upsum[0] += object_px_in[i];
upsum[1] += object_py_in[i];
upsum[2] += object_et_in[i];
} else {
downsum[0] += object_px_in[i];
downsum[1] += object_py_in[i];
downsum[2] += object_et_in[i];
}
}
centrjm_up = _lorentz_sp(upsum, upsum) / pow(pt_sum_c, 2);
centrjm_down = _lorentz_sp(downsum, downsum) / pow(pt_sum_c, 2);
double centottrjm = centrjm_up + centrjm_down;
_event_shapes[3] = centottrjm;
//central three-jet resolution threshold
double ceny3=0;
if (nin < 3) {
ceny3 = -1.0;
} else {
ceny3 = _three_jet_res(object_px_in, object_py_in, object_pz_in, object_e_in, _irap);
}
_event_shapes[4] = ceny3;
//the central jet broadenings in the up and down region
double cenbroad_up=0;
double cenbroad_down=0;
double eta_up=0;
size_t num_up=0;
double eta_down =0;
size_t num_down =0;
double phi_temp =0;
double phi_up_aver =0;
double phi_down_aver =0;
double pt_sum_up =0;
double pt_sum_down =0;
double dot_product_b =0;
vector<double> phi_up;
vector<double> phi_down;
double py_rot =0;
double px_rot =0;
for (size_t j = 0; j < 4; j++) {
up_sum.push_back(0.);
down_sum.push_back(0.);
}
for (size_t i=0;i<nin;i++) {
dot_product_b =sqrt(object_px_in[i]*_thrust_axis_c[0] + object_py_in[i]*_thrust_axis_c[1]);
if (dot_product_b>=0){
pt_sum_up += object_pt_in[i];
//rotate the coordinate system so that
//the central thrust axis is e_x
px_rot = cos(alpha_c)*object_px_in[i]+sin(alpha_c)*object_py_in[i];
py_rot = - sin(alpha_c)*object_px_in[i]+cos(alpha_c)*object_py_in[i];
//calculate the eta and phi in the rotated system
eta_up += object_pt_in[i]*object_eta_in[i];
phi_temp = atan2(py_rot,px_rot);
if(phi_temp > M_PI/2){
phi_temp = phi_temp - M_PI/2;
}
if (phi_temp < -M_PI/2){
phi_temp = phi_temp + M_PI/2;
}
phi_up.push_back(phi_temp);
phi_up_aver += object_pt_in[i]*phi_temp;
num_up += 1;
} else {
eta_down += object_pt_in[i]*object_eta_in[i];
pt_sum_down += object_pt_in[i];
px_rot = cos(alpha_c)*object_px_in[i]+sin(alpha_c)*object_py_in[i];
py_rot = - sin(alpha_c)*object_px_in[i]+cos(alpha_c)*object_py_in[i];
phi_temp = atan2(py_rot,px_rot);
if (phi_temp > M_PI/2) {
//if phi is bigger than pi/2 in the new system calculate
//the difference to the thrust axis
phi_temp = M_PI -phi_temp;
}
if (phi_temp<-M_PI/2) {
//if phi is smaller than
phi_temp = -M_PI-phi_temp;
}
phi_down.push_back(phi_temp);
//calculate the pt-weighted phi
phi_down_aver += object_pt_in[i]*phi_temp;
num_down += 1;
}
}
if (num_up!=0){
eta_up = eta_up/pt_sum_up;
phi_up_aver = phi_up_aver/pt_sum_up;
}
if (num_down!=0) {
eta_down = eta_down/pt_sum_down;
phi_down_aver = phi_down_aver/pt_sum_down;
}
size_t index_up=0, index_down=0;
for (size_t i = 0; i < nin; i++) {
dot_product_b = object_px_in[i]*_thrust_axis_c[0] + object_py_in[i]*_thrust_axis_c[1];
if (dot_product_b >= 0) {
//calculate the broadenings of the regions with the rotated system
//and the pt-weighted average of phi in the rotated system
cenbroad_up += object_pt_in[i]*sqrt(pow(object_eta_in[i]-eta_up, 2) +
pow(_delta_phi(phi_up[index_up], phi_up_aver), 2));
index_up += 1;
} else {
cenbroad_down += object_pt_in[i]*sqrt(pow(object_eta_in[i]-eta_down, 2)+
pow(_delta_phi(phi_down[index_down], phi_down_aver), 2));
index_down += 1;
}
}
if (index_up == 0 || index_down ==0) _event_shapes[NEVTVAR] *= -1;
cenbroad_up=cenbroad_up/(2*pt_sum_c);
cenbroad_down=cenbroad_down/(2*pt_sum_c);
//central total jet broadening
double centotbroad = 0;
centotbroad = cenbroad_up + cenbroad_down;
_event_shapes[1] = centotbroad;
for (int ij = 0; ij < 5; ij++) {
if (_event_shapes[ij] < 1.e-20) _event_shapes[ij] = 1.e-20;
_event_shapes[ij] = log(_event_shapes[ij]);
}
}
return 1;
}
double EventShape::_three_jet_res(const vector<double>& in_object_px, const vector<double>& in_object_py, const vector<double>& in_object_pz, const vector<double>& in_object_e, int irap) {
size_t y3_length = (size_t)in_object_px.size();
if (((size_t) in_object_py.size()!=y3_length) ||
((size_t) in_object_pz.size()!=y3_length) ||
(in_object_e.size()!=y3_length)) {
// cout << "ERROR!!!! Input vectors differ in size! Change that please!" << '\n';
// cout<<"py_size: "<<in_object_py.size()<<" ,pz_size: "<<in_object_pz.size()
// <<" ,px_size: "<<in_object_px.size()<<" , E_size: "<<in_object_e.size() <<'\n';
return 0.0;
}
vector<double> in_object_p, in_object_pt, in_object_eta, in_object_phi;
if (!in_object_p.empty()) {
in_object_p.clear();
in_object_pt.clear();
in_object_eta.clear();
in_object_phi.clear();
}
for (size_t j = 0; j < y3_length; j++) {
in_object_p.push_back(0.);
in_object_pt.push_back(0.);
in_object_eta.push_back(0.);
in_object_phi.push_back(0.);
}
double theta_y3_1st = 0;
for (size_t k =0; k<y3_length; k++) {
in_object_p[k] = sqrt(pow(in_object_px[k],2) + pow(in_object_py[k],2) + pow(in_object_pz[k],2));
in_object_pt[k] = sqrt(pow(in_object_px[k],2) + pow(in_object_py[k],2));
//calculates the pseudorapidity to prevent a division by zero
if (irap == 0) {
if (fabs(in_object_pz[k]) > 1E-5) {
theta_y3_1st = atan(in_object_pt[k]/(in_object_pz[k]));
} else {
theta_y3_1st = M_PI/2;
}
if (theta_y3_1st<0.) theta_y3_1st = theta_y3_1st + M_PI;
in_object_eta[k] = - log(tan(0.5*theta_y3_1st));
}
//calculates the real rapidity
if (irap == 1) {
in_object_eta[k]=0.5*log((in_object_e[k]+in_object_pz[k])/(in_object_e[k]-in_object_pz[k]));
}
in_object_phi[k] = atan2(in_object_py[k], in_object_px[k]);
}
//the three-jet resolution
//threshold y3
double y3 = 0;
//vector which will be filled with the
//minimum of the distances
double max_dmin_temp=0;
double max_dmin = 0;
//distance input object k, beam
double distance_jB = 0;
double distance_jB_min = 0;
//distance of input object k to l
double distance_jk = 0;
double distance_jk_min = 0;
//as we search the minimum of the distances
//give them values which are for sure higher
//than those we evaluate first in the for-loups
size_t index_jB = 0;
size_t index_j_jk = 0;
size_t index_k_jk = 0;
//to decide later if the minmum is a jB or jk
int decide_jB = -1;
vector<double> input_pt, input_px, input_py, input_pz;
vector<double> input_p, input_e, input_phi, input_eta;
if (!input_pt.empty()) {
input_pt.clear();
input_px.clear();
input_px.clear();
input_pz.clear();
input_p.clear();
input_e.clear();
input_phi.clear();
input_eta.clear();
}
for (size_t j = 0; j < y3_length; j++){
input_pt.push_back(in_object_pt[j]);
input_px.push_back(in_object_px[j]);
input_py.push_back(in_object_py[j]);
input_pz.push_back(in_object_pz[j]);
input_p.push_back(in_object_p[j]);
input_e.push_back(in_object_e[j]);
input_phi.push_back(in_object_phi[j]);
input_eta.push_back(in_object_eta[j]);
}
if (y3_length<3) {
return -1;
} else {
size_t rest = y3_length;
for (size_t i = 0; i<y3_length; i++) {
//make the minima at the initialization step
//of each looping bigger than the first values
distance_jB_min = 0.36*pow(input_pt[0],2) + 10;
//DELTA PHIs wanted not the pure difference
distance_jk_min = min(pow(input_pt[1], 2), pow(input_pt[0], 2)) *
(pow(input_eta[1]-input_eta[0], 2) +
pow(_delta_phi(input_phi[1], input_phi[0]), 2)) + 10;
//do the procedure only until we have only 2 objects left anymore
if (rest > 2) {
for (size_t j=0; j<rest;j++) {
//calculate the distance between object j and the beam
distance_jB = 0.36*pow(input_pt[j], 2);
if(distance_jB < distance_jB_min){
distance_jB_min = distance_jB;
index_jB = j;
}
if (j > 0) {
for(size_t k=0; k<j;k++){
//calculate the distance in delta eta and delta phi between object i and object j
distance_jk = min(pow(input_pt[j], 2),pow(input_pt[k], 2))*
(pow(input_eta[j]-input_eta[k], 2)+
pow(_delta_phi(input_phi[j],input_phi[k]), 2));
if (distance_jk<distance_jk_min) {
distance_jk_min = distance_jk;
index_j_jk = j;
index_k_jk =k;
}
}
}
}
//decide if the minimum is from a jB or jk combination
if (distance_jk_min<distance_jB_min) {
max_dmin_temp = max(distance_jk_min,max_dmin_temp);
decide_jB = 0;
} else {
max_dmin_temp = max(distance_jB_min,max_dmin_temp);
decide_jB=1;
}
//if we have only three jets left calculate
//the maxima of the dmin's
//if the minimum is a jB eliminate the input object
if (decide_jB == 1) {
//if index_jB is the last one nothing is to do
if (index_jB != rest-1) {
for (size_t i=index_jB; i<rest-1;i++) {
input_pt[i]=input_pt[i+1];
input_phi[i]=input_phi[i+1];
input_eta[i]=input_eta[i+1];
input_px[i]=input_px[i+1];
input_py[i]=input_py[i+1];
input_pz[i]=input_pz[i+1];
input_e[i]=input_e[i+1];
}
}
}
//if the minimum is a jk combine both input objects
if(decide_jB==0) {
input_px[index_k_jk] = input_px[index_k_jk]+input_px[index_j_jk];
input_py[index_k_jk] = input_py[index_k_jk]+input_py[index_j_jk];
input_pz[index_k_jk] = input_pz[index_k_jk]+input_pz[index_j_jk];
input_e[index_k_jk] = input_e[index_k_jk]+input_e[index_j_jk];
input_p[index_k_jk] = sqrt(pow(input_px[index_k_jk], 2)+
pow(input_py[index_k_jk], 2)+
pow(input_pz[index_k_jk], 2));
//calculate the pt, eta and phi of the new combined momenta k_jk
input_pt[index_k_jk] = sqrt(pow(input_px[index_k_jk], 2)+
pow(input_py[index_k_jk], 2));
//in the case of pseudorapidity
if (irap == 0) {
double theta_new =0;
if (fabs(input_pz[index_k_jk]) > 1E-5){
theta_new = atan(input_pt[index_k_jk]/(input_pz[index_k_jk]));
} else {
theta_new = M_PI/2;
}
if (theta_new < 0) {
theta_new = theta_new + M_PI;
}
input_eta[index_k_jk] = - log(tan(0.5*theta_new));
}
//in the real rapidity y is wanted
if (irap == 1) {
input_eta[index_k_jk] = 0.5 * log((input_e[index_k_jk]+
input_pz[index_k_jk]) /
(input_e[index_k_jk] -
input_pz[index_k_jk]));
}
input_phi[index_k_jk] = atan2(input_py[index_k_jk], input_px[index_k_jk]);
if (index_j_jk != rest-1) {
for (size_t i = index_j_jk; i<rest-1;i++) {
input_pt[i] = input_pt[i+1];
input_phi[i] = input_phi[i+1];
input_eta[i] = input_eta[i+1];
input_px[i] = input_px[i+1];
input_py[i] = input_py[i+1];
input_pz[i] = input_pz[i+1];
input_e[i] = input_e[i+1];
}
}
}
}
if (rest == 3) max_dmin = max_dmin_temp;
rest = rest-1;
}
}
double et2 = 0;
et2 = input_pt[0] + input_pt[1];
y3 = max_dmin/pow(et2,2);
return y3;
}
vector<double> EventShape::_thrust(const vector<double>& input_px, const vector<double>& input_py) {
double thrustmax_calc = 0;
double temp_calc = 0;
size_t length_thrust_calc = 0;
vector<double> thrust_values, thrust_axis_calc;
vector<double> p_thrust_max_calc, p_dec_1_calc, p_dec_2_calc, p_pt_beam_calc;
if (!thrust_values.empty()){
thrust_values.clear();
thrust_axis_calc.clear();
p_thrust_max_calc.clear();
p_dec_1_calc.clear();
p_dec_2_calc.clear();
p_pt_beam_calc.clear();
}
for (size_t j = 0; j < 3; j++){
p_pt_beam_calc.push_back(0.);
p_dec_1_calc.push_back(0.);
p_dec_2_calc.push_back(0.);
p_thrust_max_calc.push_back(0.);
thrust_axis_calc.push_back(0.);
}
for (size_t j = 0; j < 4; j++) {
thrust_values.push_back(0.);
}
length_thrust_calc = input_px.size();
if (input_py.size() != length_thrust_calc) {
/// @todo Change to exception or assert
cout<<"ERROR in thrust calculation!!! Size of input vectors differs. Change that please!"<<'\n';
return thrust_values;
}
double pt_sum_calc =0;
for(size_t k=0;k<length_thrust_calc;k++){
pt_sum_calc+=sqrt(pow(input_px[k],2)+pow(input_py[k],2));
for(size_t j = 0; j < 3; j++){
p_thrust_max_calc[j]=0;
}
//get a vector perpendicular to the beam axis and
//perpendicular to the momentum of particle k
//per default beam axis b = (0,0,1)
p_pt_beam_calc[0] = input_py[k]*1;
p_pt_beam_calc[1] = - input_px[k]*1;
p_pt_beam_calc[2] = 0.; // GMA p_pt_beam_calc[3] = 0.;
for(size_t i=0;i<length_thrust_calc;i++){
if(i!=k){
if((input_px[i]*p_pt_beam_calc[0]+input_py[i]*p_pt_beam_calc[1])>=0){
p_thrust_max_calc[0]= p_thrust_max_calc[0] + input_px[i];
p_thrust_max_calc[1]= p_thrust_max_calc[1] + input_py[i];
}else{
p_thrust_max_calc[0]= p_thrust_max_calc[0] - input_px[i];
p_thrust_max_calc[1]= p_thrust_max_calc[1] - input_py[i];
}
}
}
p_dec_1_calc[0] = p_thrust_max_calc[0] + input_px[k];
p_dec_1_calc[1] = p_thrust_max_calc[1] + input_py[k];
p_dec_1_calc[2] = 0;
p_dec_2_calc[0] = p_thrust_max_calc[0] - input_px[k];
p_dec_2_calc[1] = p_thrust_max_calc[1] - input_py[k];
p_dec_2_calc[2] = 0;
temp_calc = pow(p_dec_1_calc[0], 2) + pow(p_dec_1_calc[1], 2);
if (temp_calc>thrustmax_calc) {
thrustmax_calc =temp_calc;
for (size_t i=0; i<3; i++) {
thrust_axis_calc[i] = p_dec_1_calc[i]/sqrt(thrustmax_calc);
}
}
temp_calc = pow(p_dec_2_calc[0], 2)+pow(p_dec_2_calc[1], 2);
if (temp_calc > thrustmax_calc) {
thrustmax_calc =temp_calc;
for (size_t i=0; i<3; i++) {
thrust_axis_calc[i] = p_dec_2_calc[i]/sqrt(thrustmax_calc);
}
}
}
for (size_t j = 0; j < 3; j++) thrust_values[j] = thrust_axis_calc[j];
const double thrust_calc = sqrt(thrustmax_calc)/pt_sum_calc;
// the variable which gets returned is not the thrust but tau=1-thrust
thrust_values[3] = 1 - thrust_calc;
if (thrust_values[3] < 1e-20) thrust_values[3] = 1e-20;
return thrust_values;
}
double EventShape::_delta_phi(double phi1, double phi2) {
double dphi = fabs(phi2 - phi1);
if (dphi > M_PI) dphi = 2*M_PI - dphi;
return dphi;
}
// Returns the scalar product between two 4 momenta
double EventShape::_lorentz_sp(const vector<double>& a, const vector<double>& b) {
size_t dim = (size_t) a.size();
if (a.size()!=b.size()) {
cout<<"ERROR!!! Dimension of input vectors are different! Change that please!"<<'\n';
return 0;
} else {
double l_dot_product=a[dim-1]*b[dim-1];
for(size_t i=0; i<dim-1;i++){
l_dot_product-=a[i]*b[i];
}
return l_dot_product;
}
}
}
}
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