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TopologyWorker.h
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1 // -*- C++ -*-
2 //
3 // Package: TopTools
4 // Class: TopologyWorker
5 //
14 #ifndef __TOPTOOLSTOPOLOGYWORKER__
15 #define __TOPTOOLSTOPOLOGYWORKER__
16 
17 #warning The TopologyWorker class is currently not supported anymore! There might be issues in its implementation.
18 #warning If you are still using it or planned to do so, please contact the admins of the corresponding CMSSW package.
19 #warning You can find their e-mail adresses in: cmssw.cvs.cern.ch/cgi-bin/cmssw.cgi/CMSSW/TopQuarkAnalysis/TopTools/.admin/
20 
21 #include "TF1.h"
22 #include "TMath.h"
23 #include "TClass.h"
24 #include "TString.h"
25 #include "TRandom.h"
26 #include "TMatrixD.h"
27 #include "TLorentzVector.h"
28 
29 #include <cmath>
30 #include <iostream>
31 
32 class TopologyWorker
33 {
34 public:
35  TopologyWorker(){;}
36  TopologyWorker(bool boost);
37  virtual ~TopologyWorker(){;}
38 
39  void clear(void){m_np=0;m_np2=0;return;}
40 
41  void setPartList(TObjArray* e1, TObjArray* e2);
42  void setVerbose(bool loud){m_verbose=loud; return;}
43 
44  void setThMomPower(double tp);
45  double getThMomPower();
46  void setFast(int nf);
47  int getFast();
48 
49  TVector3 thrustAxis();
50  TVector3 majorAxis();
51  TVector3 minorAxis();
52 
53  TVector3 thrust();
54  // thrust :: Corresponding thrust, major, and minor value.
55 
56  double oblateness();
57  double get_sphericity();
58  double get_aplanarity();
59  double get_h10();
60  double get_h20();
61  double get_h30();
62  double get_h40();
63  double get_h50();
64  double get_h60();
65 
66 
67  void planes_sphe(double& pnorm,double& p2, double& p3);
68  void planes_sphe_wei(double& pnorm,double& p2, double& p3);
69  void planes_thrust(double& pnorm,double& p2, double& p3);
70  void sumangles(float& sdeta, float& sdr);
71 
72  double get_ht() {return m_ht;}
73  double get_ht3() {return m_ht3;}
74  double get_et0() {return m_et0;}
75  double get_sqrts() {return m_sqrts;}
76  double get_njetW() {return m_njetsweighed;}
77  double get_et56() {return m_et56;}
78  double get_centrality() { return m_centrality;}
79 
80 private:
81  bool m_verbose;
82  void getetaphi(double px, double py, double pz, double& eta, double& phi);
83  double ulAngle(double x, double y);
84  double sign(double a, double b);
85  void ludbrb(TMatrix *mom,
86  double the,
87  double phi,
88  double bx,
89  double by,
90  double bz);
91 
92  int iPow(int man, int exp);
93 
94  double m_dSphMomPower;
95  // PARU(41): Power of momentum dependence in sphericity finder.
96 
97  double m_dDeltaThPower;
98  // PARU(42): Power of momentum dependence in thrust finder.
99 
100  int m_iFast;
101  // MSTU(44): # of initial fastest particles choosen to start search.
102 
103  double m_dConv;
104  // PARU(48): Convergence criteria for axis maximization.
105 
106  int m_iGood;
107  // MSTU(45): # different starting configurations that must
108  // converge before axis is accepted as correct.
109 
110  TMatrix m_dAxes;
111  // data: results
112  // m_dAxes[1] is the Thrust axis.
113  // m_dAxes[2] is the Major axis.
114  // m_dAxes[3] is the Minor axis.
115 
116  TVector3 m_ThrustAxis;
117  TVector3 m_MajorAxis;
118  TVector3 m_MinorAxis;
119  TVector3 m_Thrust;
120 
121  TRandom m_random;
122 
123  TMatrix m_mom;
124  TMatrix m_mom2;
125 
126  double m_dThrust[4];
127  double m_dOblateness;
128  int m_np;
129  int m_np2;
130  bool m_sanda_called;
131  bool m_fowo_called;
132  bool m_boost;
133  bool m_sumangles_called;
134  double m_sph;
135  double m_apl;
136  double m_h10;
137  double m_h20;
138  double m_h30;
139  double m_h40;
140  double m_h50;
141  double m_h60;
142  double m_ht;
143  double m_ht3;
144  double m_et0;
145  double m_sqrts;
146  double m_njetsweighed;
147  double m_et56;
148  double m_centrality;
149 
150  void sanda();
151  void fowo();
152  static int m_maxpart;
153 
154  void CalcWmul();
155  void CalcSqrts();
156  void CalcHTstuff();
157  double CalcPt(int i) { return sqrt(pow(m_mom(i,1),2)+pow(m_mom(i,2),2));}
158  double CalcPt2(int i) { return sqrt(pow(m_mom2(i,1),2)+pow(m_mom2(i,2),2));}
159  double CalcEta(int i) {double eta, phi;getetaphi(m_mom(i,1),m_mom(i,2),m_mom(i,3),eta,phi); return eta;}
160  double CalcEta2(int i) {double eta, phi; getetaphi(m_mom2(i,1),m_mom2(i,2),m_mom2(i,3),eta,phi); return eta;}
161 
162 };
163 
164 class LessThan {
165  public :
166  // retrieve tru info MC stuff
167  bool operator () (const TLorentzVector & tl1, const TLorentzVector &
168  tl2)
169  const {
170  return tl2.Pt() < tl1.Pt();
171  }
172 };
173 
174 Int_t TopologyWorker::m_maxpart = 1000;
175 
176 TopologyWorker::TopologyWorker(bool boost):
177  m_dSphMomPower(2.0),m_dDeltaThPower(0),
178  m_iFast(4),m_dConv(0.0001),m_iGood(2)
179 {
180  m_dAxes.ResizeTo(4,4);
181  m_mom.ResizeTo(m_maxpart,6);
182  m_mom2.ResizeTo(m_maxpart,6);
183  m_np=-1;
184  m_np2=-1;
185  m_sanda_called=false;
186  m_fowo_called=false;
187  m_sumangles_called=false;
188  m_verbose=false;
189  m_boost=boost;
190  m_sph=-1;
191  m_apl=-1;
192  m_h10=-1;
193  m_h20=-1;
194  m_h30=-1;
195  m_h40=-1;
196  m_sqrts=0;
197  m_ht=0;
198  m_ht3=0;
199  m_et56=0;
200  m_njetsweighed=0;
201  m_et0=0;
202 }
203 //______________________________________________________________
204 
205 
206 // Input the particle 3(4)-vector list
207 // e: 3-vector TVector3 ..(px,py,pz) or
208 // 4-vector TLorentzVector ..(px,py,pz,E)
209 // Even input the TLorentzVector, we don't use Energy
210 //
211 void TopologyWorker::setPartList(TObjArray* e1, TObjArray* e2)
212 {
213  //To make this look like normal physics notation the
214  //zeroth element of each array, mom[i][0], will be ignored
215  //and operations will be on elements 1,2,3...
216  TMatrix mom(m_maxpart,6);
217  TMatrix mom2(m_maxpart,6);
218  double tmax = 0;
219  double phi = 0.;
220  double the = 0.;
221  double sgn;
222  TMatrix fast(m_iFast + 1,6);
223  TMatrix work(11,6);
224  double tdi[4] = {0.,0.,0.,0.};
225  double tds;
226  double tpr[4] = {0.,0.,0.,0.};
227  double thp;
228  double thps;
229  double pxtot=0;
230  double pytot=0;
231  double pztot=0;
232  double etot=0;
233 
234  TMatrix temp(3,5);
235  Int_t np = 0;
236  Int_t numElements = e1->GetEntries();
237  Int_t numElements2 = e2->GetEntries();
238 
239  // trying to sort...
240 
241 
242 
243  m_np=0;
244  for(Int_t elem=0;elem<numElements;elem++) {
245  if(m_verbose){
246  std::cout << "looping over array, element " << elem << std::endl;
247  }
248  TObject* o = (TObject*) e1->At(elem);
249  if(m_verbose){
250  std::cerr << "TopologyWorker:SetPartList(): adding jet " << elem << "." << std::endl;
251  }
252  if (np >= m_maxpart) {
253  printf("Too many particles input to TopologyWorker");
254  return;
255  }
256  if(m_verbose){
257  std::cout << "getting name of object..." << std::endl;
258  }
259  TString nam(o->IsA()->GetName());
260  if(m_verbose){
261  std::cout << "TopologyWorker::setPartList(): object is of type " << nam << std::endl;
262  }
263  if (nam.Contains("TVector3")) {
264  TVector3 v(((TVector3 *) o)->X(),
265  ((TVector3 *) o)->Y(),
266  ((TVector3 *) o)->Z());
267  mom(np,1) = v.X();
268  mom(np,2) = v.Y();
269  mom(np,3) = v.Z();
270  mom(np,4) = v.Mag();
271  }
272  else if (nam.Contains("TLorentzVector")) {
273  TVector3 v(((TLorentzVector *) o)->X(),
274  ((TLorentzVector *) o)->Y(),
275  ((TLorentzVector *) o)->Z());
276  mom(np,1) = v.X();
277  mom(np,2) = v.Y();
278  mom(np,3) = v.Z();
279  mom(np,4) = ((TLorentzVector *) o)->T();
280  }
281  else {
282  printf("TopologyWorker::setEvent input is not a TVector3 or a TLorentzVector\n");
283  continue;
284  }
285 
286 
287  if ( TMath::Abs( m_dDeltaThPower ) <= 0.001 ) {
288  mom(np,5) = 1.0;
289  }
290  else {
291  mom(np,5) = TMath::Power(mom(np,4),m_dDeltaThPower);
292  }
293  tmax = tmax + mom(np,4)*mom(np,5);
294  pxtot+=mom(np,1);
295  pytot+=mom(np,2);
296  pztot+=mom(np,3);
297  etot+=mom(np,4);
298  np++;
299  m_np=np;
300  }
301  Int_t np2=0;
302  // second jet array.... only use some values here.
303  for(Int_t elem=0;elem<numElements2;elem++) {
304  //cout << elem << endl;
305  TObject* o = (TObject*) e2->At(elem);
306  if (np2 >= m_maxpart) {
307  printf("Too many particles input to TopologyWorker");
308  return;
309  }
310 
311  TString nam(o->IsA()->GetName());
312  if (nam.Contains("TVector3")) {
313  TVector3 v(((TVector3 *) o)->X(),
314  ((TVector3 *) o)->Y(),
315  ((TVector3 *) o)->Z());
316  mom2(np2,1) = v.X();
317  mom2(np2,2) = v.Y();
318  mom2(np2,3) = v.Z();
319  mom2(np2,4) = v.Mag();
320  }
321  else if (nam.Contains("TLorentzVector")) {
322  TVector3 v(((TLorentzVector *) o)->X(),
323  ((TLorentzVector *) o)->Y(),
324  ((TLorentzVector *) o)->Z());
325  mom2(np2,1) = v.X();
326  mom2(np2,2) = v.Y();
327  mom2(np2,3) = v.Z();
328  mom2(np2,4) = ((TLorentzVector *) o)->T();
329  // cout << "mom2: " << mom2(np2,1) << ", " << mom2(np2,2)<<", " << mom2(np2,3)<<", " << mom2(np2,4)<< endl;
330  }
331  else {
332  printf("TopologyWorker::setEvent Second vector input is not a TVector3 or a TLorentzVector\n");
333  continue;
334  }
335  np2++;
336  m_np2=np2;
337  }
338  m_mom2=mom2;
339 
340  if (m_boost && m_np>1) {
341  printf("TopologyWorker::setEvent Only boosting first vector so watch out when you do this!!!");
342  TVector3 booze(-pxtot/etot,-pytot/etot,-pztot/etot);
343  TLorentzVector l1;
344  for (int k=0; k<m_np ; k++) {
345  l1.SetPx(mom(k,1));
346  l1.SetPy(mom(k,2));
347  l1.SetPz(mom(k,3));
348  l1.SetE(mom(k,4));
349  l1.Boost(booze);
350  mom(k,1)=l1.Px();
351  mom(k,2)=l1.Py();
352  mom(k,3)=l1.Pz();
353  mom(k,4)=l1.E();
354  }
355  }
356 
357  m_sanda_called=false;
358  m_fowo_called=false;
359  for (int ip=0;ip<m_maxpart;ip++) {
360  for (int id=0;id<6;id++) {
361  m_mom(ip,id)=mom(ip,id);
362  }
363  }
364 
365  if ( np < 2 ) {
366  m_dThrust[1] = -1.0;
367  m_dOblateness = -1.0;
368  return;
369  }
370  // for pass = 1: find thrust axis.
371  // for pass = 2: find major axis.
372  for ( Int_t pass=1; pass < 3; pass++) {
373  if ( pass == 2 ) {
374  phi = ulAngle(m_dAxes(1,1), m_dAxes(1,2));
375  ludbrb( &mom, 0, -phi, 0., 0., 0. );
376  for ( Int_t i = 0; i < 3; i++ ) {
377  for ( Int_t j = 1; j < 4; j++ ) {
378  temp(i,j) = m_dAxes(i+1,j);
379  }
380  temp(i,4) = 0;
381  }
382  ludbrb(&temp,0.,-phi,0.,0.,0.);
383  for ( Int_t ib = 0; ib < 3; ib++ ) {
384  for ( Int_t j = 1; j < 4; j++ ) {
385  m_dAxes(ib+1,j) = temp(ib,j);
386  }
387  }
388  the = ulAngle( m_dAxes(1,3), m_dAxes(1,1) );
389  ludbrb( &mom, -the, 0., 0., 0., 0. );
390  for ( Int_t ic = 0; ic < 3; ic++ ) {
391  for ( Int_t j = 1; j < 4; j++ ) {
392  temp(ic,j) = m_dAxes(ic+1,j);
393  }
394  temp(ic,4) = 0;
395  }
396  ludbrb(&temp,-the,0.,0.,0.,0.);
397  for ( Int_t id = 0; id < 3; id++ ) {
398  for ( Int_t j = 1; j < 4; j++ ) {
399  m_dAxes(id+1,j) = temp(id,j);
400  }
401  }
402  }
403  for ( Int_t ifas = 0; ifas < m_iFast + 1 ; ifas++ ) {
404  fast(ifas,4) = 0.;
405  }
406  // Find the m_iFast highest momentum particles and
407  // put the highest in fast[0], next in fast[1],....fast[m_iFast-1].
408  // fast[m_iFast] is just a workspace.
409  for ( Int_t i = 0; i < np; i++ ) {
410  if ( pass == 2 ) {
411  mom(i,4) = TMath::Sqrt( mom(i,1)*mom(i,1)
412  + mom(i,2)*mom(i,2) );
413  }
414  for ( Int_t ifas = m_iFast - 1; ifas > -1; ifas-- ) {
415  if ( mom(i,4) > fast(ifas,4) ) {
416  for ( Int_t j = 1; j < 6; j++ ) {
417  fast(ifas+1,j) = fast(ifas,j);
418  if ( ifas == 0 ) fast(ifas,j) = mom(i,j);
419  }
420  }
421  else {
422  for ( Int_t j = 1; j < 6; j++ ) {
423  fast(ifas+1,j) = mom(i,j);
424  }
425  break;
426  }
427  }
428  }
429  // Find axis with highest thrust (case 1)/ highest major (case 2).
430  for ( Int_t ie = 0; ie < work.GetNrows(); ie++ ) {
431  work(ie,4) = 0.;
432  }
433  Int_t p = TMath::Min( m_iFast, np ) - 1;
434  // Don't trust Math.pow to give right answer always.
435  // Want nc = 2**p.
436  Int_t nc = iPow(2,p);
437  for ( Int_t n = 0; n < nc; n++ ) {
438  for ( Int_t j = 1; j < 4; j++ ) {
439  tdi[j] = 0.;
440  }
441  for ( Int_t i = 0; i < TMath::Min(m_iFast,n); i++ ) {
442  sgn = fast(i,5);
443  if (iPow(2,(i+1))*((n+iPow(2,i))/iPow(2,(i+1))) >= i+1){
444  sgn = -sgn;
445  }
446  for ( Int_t j = 1; j < 5-pass; j++ ) {
447  tdi[j] = tdi[j] + sgn*fast(i,j);
448  }
449  }
450  tds = tdi[1]*tdi[1] + tdi[2]*tdi[2] + tdi[3]*tdi[3];
451  for ( Int_t iw = TMath::Min(n,9); iw > -1; iw--) {
452  if( tds > work(iw,4) ) {
453  for ( Int_t j = 1; j < 5; j++ ) {
454  work(iw+1,j) = work(iw,j);
455  if ( iw == 0 ) {
456  if ( j < 4 ) {
457  work(iw,j) = tdi[j];
458  }
459  else {
460  work(iw,j) = tds;
461  }
462  }
463  }
464  }
465  else {
466  for ( Int_t j = 1; j < 4; j++ ) {
467  work(iw+1,j) = tdi[j];
468  }
469  work(iw+1,4) = tds;
470  }
471  }
472  }
473  // Iterate direction of axis until stable maximum.
474  m_dThrust[pass] = 0;
475  thp = -99999.;
476  Int_t nagree = 0;
477  for ( Int_t iw = 0;
478  iw < TMath::Min(nc,10) && nagree < m_iGood; iw++ ){
479  thp = 0.;
480  thps = -99999.;
481  while ( thp > thps + m_dConv ) {
482  thps = thp;
483  for ( Int_t j = 1; j < 4; j++ ) {
484  if ( thp <= 1E-10 ) {
485  tdi[j] = work(iw,j);
486  }
487  else {
488  tdi[j] = tpr[j];
489  tpr[j] = 0;
490  }
491  }
492  for ( Int_t i = 0; i < np; i++ ) {
493  sgn = sign(mom(i,5),
494  tdi[1]*mom(i,1) +
495  tdi[2]*mom(i,2) +
496  tdi[3]*mom(i,3));
497  for ( Int_t j = 1; j < 5 - pass; j++ ){
498  tpr[j] = tpr[j] + sgn*mom(i,j);
499  }
500  }
501  thp = TMath::Sqrt(tpr[1]*tpr[1]
502  + tpr[2]*tpr[2]
503  + tpr[3]*tpr[3])/tmax;
504  }
505  // Save good axis. Try new initial axis until enough
506  // tries agree.
507  if ( thp < m_dThrust[pass] - m_dConv ) {
508  break;
509  }
510  if ( thp > m_dThrust[pass] + m_dConv ) {
511  nagree = 0;
512  sgn = iPow( -1, (Int_t)TMath::Nint(m_random.Rndm()) );
513  for ( Int_t j = 1; j < 4; j++ ) {
514  m_dAxes(pass,j) = sgn*tpr[j]/(tmax*thp);
515  }
516  m_dThrust[pass] = thp;
517  }
518  nagree = nagree + 1;
519  }
520  }
521  // Find minor axis and value by orthogonality.
522  sgn = iPow( -1, (Int_t)TMath::Nint(m_random.Rndm()));
523  m_dAxes(3,1) = -sgn*m_dAxes(2,2);
524  m_dAxes(3,2) = sgn*m_dAxes(2,1);
525  m_dAxes(3,3) = 0.;
526  thp = 0.;
527  for ( Int_t i = 0; i < np; i++ ) {
528  thp += mom(i,5)*TMath::Abs(m_dAxes(3,1)*mom(i,1) +
529  m_dAxes(3,2)*mom(i,2));
530  }
531  m_dThrust[3] = thp/tmax;
532  // Rotate back to original coordinate system.
533  for ( Int_t i6 = 0; i6 < 3; i6++ ) {
534  for ( Int_t j = 1; j < 4; j++ ) {
535  temp(i6,j) = m_dAxes(i6+1,j);
536  }
537  temp(i6,4) = 0;
538  }
539  ludbrb(&temp,the,phi,0.,0.,0.);
540  for ( Int_t i7 = 0; i7 < 3; i7++ ) {
541  for ( Int_t j = 1; j < 4; j++ ) {
542  m_dAxes(i7+1,j) = temp(i7,j);
543  }
544  }
545  m_dOblateness = m_dThrust[2] - m_dThrust[3];
546 
547  // more stuff:
548 
549  // calculate weighed jet multiplicity();
550  CalcWmul();
551  CalcHTstuff();
552  CalcSqrts();
553 
554 }
555 //______________________________________________________________
556 
557 // Setting and getting parameters.
558 
559 void TopologyWorker::setThMomPower(double tp)
560 {
561  // Error if sp not positive.
562  if ( tp > 0. ) m_dDeltaThPower = tp - 1.0;
563  return;
564 }
565 //______________________________________________________________
566 
567 double TopologyWorker::getThMomPower()
568 {
569  return 1.0 + m_dDeltaThPower;
570 }
571 //______________________________________________________________
572 
573 void TopologyWorker::setFast(Int_t nf)
574 {
575  // Error if sp not positive.
576  if ( nf > 3 ) m_iFast = nf;
577  return;
578 }
579 //______________________________________________________________
580 
581 Int_t TopologyWorker::getFast()
582 {
583  return m_iFast;
584 }
585 //______________________________________________________________
586 
587 // Returning results
588 
589 TVector3 TopologyWorker::thrustAxis() {
590  TVector3 m_ThrustAxis(m_dAxes(1,1),m_dAxes(1,2),m_dAxes(1,3));
591  return m_ThrustAxis;
592 }
593 //______________________________________________________________
594 
595 TVector3 TopologyWorker::majorAxis() {
596  TVector3 m_MajorAxis(m_dAxes(2,1),m_dAxes(2,2),m_dAxes(2,3));
597  return m_MajorAxis;
598 }
599 //______________________________________________________________
600 
601 TVector3 TopologyWorker::minorAxis() {
602  TVector3 m_MinorAxis(m_dAxes(3,1),m_dAxes(3,2),m_dAxes(3,3));
603  return m_MinorAxis;
604 }
605 //______________________________________________________________
606 
607 TVector3 TopologyWorker::thrust() {
608  TVector3 m_Thrust(m_dThrust[1],m_dThrust[2],m_dThrust[3]);
609  return m_Thrust;
610 }
611 //______________________________________________________________
612 
613 double TopologyWorker::oblateness() {
614  return m_dOblateness;
615 }
616 //______________________________________________________________
617 
618 // utilities(from Jetset):
619 double TopologyWorker::ulAngle(double x, double y)
620 {
621  double ulangl = 0;
622  double r = TMath::Sqrt(x*x + y*y);
623  if ( r < 1.0E-20 ) {
624  return ulangl;
625  }
626  if ( TMath::Abs(x)/r < 0.8 ) {
627  ulangl = sign(TMath::ACos(x/r),y);
628  }
629  else {
630  ulangl = TMath::ASin(y/r);
631  if ( x < 0. && ulangl >= 0. ) {
632  ulangl = TMath::Pi() - ulangl;
633  }
634  else if ( x < 0. ) {
635  ulangl = -TMath::Pi() - ulangl;
636  }
637  }
638  return ulangl;
639 }
640 //______________________________________________________________
641 
642 double TopologyWorker::sign(double a, double b) {
643  if ( b < 0 ) {
644  return -TMath::Abs(a);
645  }
646  else {
647  return TMath::Abs(a);
648  }
649 }
650 //______________________________________________________________
651 
652 void TopologyWorker::ludbrb(TMatrix* mom,
653  double the,
654  double phi,
655  double bx,
656  double by,
657  double bz)
658 {
659  // Ignore "zeroth" elements in rot,pr,dp.
660  // Trying to use physics-like notation.
661  TMatrix rot(4,4);
662  double pr[4];
663  double dp[5];
664  Int_t np = mom->GetNrows();
665  if ( the*the + phi*phi > 1.0E-20 )
666  {
667  rot(1,1) = TMath::Cos(the)*TMath::Cos(phi);
668  rot(1,2) = -TMath::Sin(phi);
669  rot(1,3) = TMath::Sin(the)*TMath::Cos(phi);
670  rot(2,1) = TMath::Cos(the)*TMath::Sin(phi);
671  rot(2,2) = TMath::Cos(phi);
672  rot(2,3) = TMath::Sin(the)*TMath::Sin(phi);
673  rot(3,1) = -TMath::Sin(the);
674  rot(3,2) = 0.0;
675  rot(3,3) = TMath::Cos(the);
676  for ( Int_t i = 0; i < np; i++ )
677  {
678  for ( Int_t j = 1; j < 4; j++ )
679  {
680  pr[j] = (*mom)(i,j);
681  (*mom)(i,j) = 0;
682  }
683  for ( Int_t jb = 1; jb < 4; jb++)
684  {
685  for ( Int_t k = 1; k < 4; k++)
686  {
687  (*mom)(i,jb) = (*mom)(i,jb) + rot(jb,k)*pr[k];
688  }
689  }
690  }
691  double beta = TMath::Sqrt( bx*bx + by*by + bz*bz );
692  if ( beta*beta > 1.0E-20 )
693  {
694  if ( beta > 0.99999999 )
695  {
696  //send message: boost too large, resetting to <~1.0.
697  bx = bx*(0.99999999/beta);
698  by = by*(0.99999999/beta);
699  bz = bz*(0.99999999/beta);
700  beta = 0.99999999;
701  }
702  double gamma = 1.0/TMath::Sqrt(1.0 - beta*beta);
703  for ( Int_t i = 0; i < np; i++ )
704  {
705  for ( Int_t j = 1; j < 5; j++ )
706  {
707  dp[j] = (*mom)(i,j);
708  }
709  double bp = bx*dp[1] + by*dp[2] + bz*dp[3];
710  double gbp = gamma*(gamma*bp/(1.0 + gamma) + dp[4]);
711  (*mom)(i,1) = dp[1] + gbp*bx;
712  (*mom)(i,2) = dp[2] + gbp*by;
713  (*mom)(i,3) = dp[3] + gbp*bz;
714  (*mom)(i,4) = gamma*(dp[4] + bp);
715  }
716  }
717  }
718  return;
719 }
720 
721 
722 
723 // APLANARITY and SPHERICITY
724 
725 void TopologyWorker::sanda() {
726  float SPH=-1;
727  float APL=-1;
728  m_sanda_called=true;
729  //=======================================================================
730  // By M.Vreeswijk, (core was fortran, stolen from somewhere)
731  // Purpose: to perform sphericity tensor analysis to give sphericity
732  // and aplanarity.
733  //
734  // Needs: Array (standard from root-tuples): GTRACK_px, py, pz
735  // The number of tracks in these arrays: GTRACK_ijet
736  // In addition: Array GTRACK_ijet contains a jet number 'ijet'
737  // (if you wish to change this, simply change code)
738  //
739  // Uses: TVector3 and TLorentzVector classes
740  //
741  // Output: Sphericity SPH and Aplanarity APL
742  //=======================================================================
743 // C...Calculate matrix to be diagonalized.
744  float P[1000][6];
745  double SM[4][4],SV[4][4];
746  double PA,PWT,PS,SQ,SR,SP,SMAX,SGN;
747  int NP;
748  int J, J1, J2, I, N, JA, JB, J3, JC, JB1, JB2;
749  JA=JB=JC=0;
750  double RL;
751  float rlu,rlu1;
752  //
753  // --- get the input form GTRACK arrays
754  //
755  N=m_np;
756  NP=0;
757  for (I=1;I<N+1;I++){
758  NP++; // start at one
759  P[NP][1]=m_mom(I-1,1) ;
760  P[NP][2]=m_mom(I-1,2) ;
761  P[NP][3]=m_mom(I-1,3) ;
762  P[NP][4]=m_mom(I-1,4) ;
763  P[NP][5]=0;
764  }
765  //
766  //---
767  //
768  N=NP;
769 
770  for (J1=1;J1<4;J1++) {
771  for (J2=J1;J2<4;J2++) {
772  SM[J1][J2]=0.;
773  }
774  }
775  PS=0.;
776  for (I=1;I<N+1;I++) { // 140
777  PA=sqrt(pow(P[I][1],2)+pow(P[I][2],2)+pow(P[I][3],2));
778  PWT=1.;
779  for (J1=1;J1<4;J1++) { // 130
780  for (J2=J1;J2<4;J2++) { // 120
781  SM[J1][J2]=SM[J1][J2]+PWT*P[I][J1]*P[I][J2];
782  }
783  } // 130
784  PS=PS+PWT*PA*PA;
785  } //140
786 // C...Very low multiplicities (0 or 1) not considered.
787  if(NP<2) {
788  SPH=-1.;
789  APL=-1.;
790  return;
791  }
792  for (J1=1;J1<4;J1++) { // 160
793  for (J2=J1;J2<4;J2++) { // 150
794  SM[J1][J2]=SM[J1][J2]/PS;
795  }
796  } // 160
797 // C...Find eigenvalues to matrix (third degree equation).
798  SQ=(SM[1][1]*SM[2][2]+SM[1][1]*SM[3][3]+SM[2][2]*SM[3][3]
799  -pow(SM[1][2],2)
800  -pow(SM[1][3],2)-pow(SM[2][3],2))/3.-1./9.;
801  SR=-0.5*(SQ+1./9.+SM[1][1]*pow(SM[2][3],2)+SM[2][2]*pow(SM[1][3],2)+SM[3][3]*
802  pow(SM[1][2],2)-SM[1][1]*SM[2][2]*SM[3][3])+SM[1][2]*SM[1][3]*SM[2][3]+1./27.;
803 
804  SP=TMath::Cos(TMath::ACos(TMath::Max(TMath::Min(SR/TMath::Sqrt(-pow(SQ,3)),1.),-1.))/3.);
805 
806  P[N+1][4]=1./3.+TMath::Sqrt(-SQ)*TMath::Max(2.*SP,TMath::Sqrt(3.*(1.-SP*SP))-SP);
807  P[N+3][4]=1./3.+TMath::Sqrt(-SQ)*TMath::Min(2.*SP,-TMath::Sqrt(3.*(1.-SP*SP))-SP);
808  P[N+2][4]=1.-P[N+1][4]-P[N+3][4];
809  if (P[N+2][4]> 1E-5) {
810 
811 // C...Find first and last eigenvector by solving equation system.
812  for (I=1;I<4;I=I+2) { // 240
813  for (J1=1;J1<4;J1++) { // 180
814  SV[J1][J1]=SM[J1][J1]-P[N+I][4];
815  for (J2=J1+1;J2<4;J2++) { // 170
816  SV[J1][J2]=SM[J1][J2];
817  SV[J2][J1]=SM[J1][J2];
818  }
819  } // 180
820  SMAX=0.;
821  for (J1=1;J1<4;J1++) { // 200
822  for (J2=1;J2<4;J2++) { // 190
823  if(std::fabs(SV[J1][J2])>SMAX) { // 190
824  JA=J1;
825  JB=J2;
826  SMAX=std::fabs(SV[J1][J2]);
827  }
828  } // 190
829  } // 200
830  SMAX=0.;
831  for (J3=JA+1;J3<JA+3;J3++) { // 220
832  J1=J3-3*((J3-1)/3);
833  RL=SV[J1][JB]/SV[JA][JB];
834  for (J2=1;J2<4;J2++) { // 210
835  SV[J1][J2]=SV[J1][J2]-RL*SV[JA][J2];
836  if (std::fabs(SV[J1][J2])>SMAX) { // GOTO 210
837  JC=J1;
838  SMAX=std::fabs(SV[J1][J2]);
839  }
840  } // 210
841  } // 220
842  JB1=JB+1-3*(JB/3);
843  JB2=JB+2-3*((JB+1)/3);
844  P[N+I][JB1]=-SV[JC][JB2];
845  P[N+I][JB2]=SV[JC][JB1];
846  P[N+I][JB]=-(SV[JA][JB1]*P[N+I][JB1]+SV[JA][JB2]*P[N+I][JB2])/
847  SV[JA][JB];
848  PA=TMath::Sqrt(pow(P[N+I][1],2)+pow(P[N+I][2],2)+pow(P[N+I][3],2));
849 // make a random number
850  float pa=P[N-1][I];
851  rlu=std::fabs(pa)-std::fabs(int(pa)*1.);
852  rlu1=std::fabs(pa*pa)-std::fabs(int(pa*pa)*1.);
853  SGN=pow((-1.),1.*int(rlu+0.5));
854  for (J=1;J<4;J++) { // 230
855  P[N+I][J]=SGN*P[N+I][J]/PA;
856  } // 230
857  } // 240
858 
859 // C...Middle axis orthogonal to other two. Fill other codes.
860  SGN=pow((-1.),1.*int(rlu1+0.5));
861  P[N+2][1]=SGN*(P[N+1][2]*P[N+3][3]-P[N+1][3]*P[N+3][2]);
862  P[N+2][2]=SGN*(P[N+1][3]*P[N+3][1]-P[N+1][1]*P[N+3][3]);
863  P[N+2][3]=SGN*(P[N+1][1]*P[N+3][2]-P[N+1][2]*P[N+3][1]);
864 
865 // C...Calculate sphericity and aplanarity. Select storing option.
866  SPH=1.5*(P[N+2][4]+P[N+3][4]);
867  APL=1.5*P[N+3][4];
868 
869  } // check 1
870 
871  m_sph=SPH;
872  m_apl=APL;
873  return;
874 } // end sanda
875 
876 
877 
878 
879 void TopologyWorker::planes_sphe(double& pnorm, double& p2, double& p3) {
880  //float SPH=-1; //FIXME: commented out since gcc461 complained that this variable is set but unused
881  //float APL=-1; //FIXME: commented out since gcc461 complained that this variable is set but unused
882 // C...Calculate matrix to be diagonalized.
883  float P[1000][6];
884  double SM[4][4],SV[4][4];
885  double PA,PWT,PS,SQ,SR,SP,SMAX,SGN;
886  int NP;
887  int J, J1, J2, I, N, JA, JB, J3, JC, JB1, JB2;
888  JA=JB=JC=0;
889  double RL;
890  float rlu,rlu1;
891  //
892  // --- get the input form GTRACK arrays
893  //
894  N=m_np;
895  NP=0;
896  for (I=1;I<N+1;I++){
897  NP++; // start at one
898  P[NP][1]=m_mom(I-1,1) ;
899  P[NP][2]=m_mom(I-1,2) ;
900  P[NP][3]=m_mom(I-1,3) ;
901  P[NP][4]=m_mom(I-1,4) ;
902  P[NP][5]=0;
903  }
904  //
905  //---
906  //
907  N=NP;
908 
909  for (J1=1;J1<4;J1++) {
910  for (J2=J1;J2<4;J2++) {
911  SM[J1][J2]=0.;
912  }
913  }
914  PS=0.;
915  for (I=1;I<N+1;I++) { // 140
916  PA=sqrt(pow(P[I][1],2)+pow(P[I][2],2)+pow(P[I][3],2));
917  double eta,phi;
918  getetaphi(P[I][1],P[I][2],P[I][3],eta,phi);
919  PWT=exp(-std::fabs(eta));
920  PWT=1.;
921  for (J1=1;J1<4;J1++) { // 130
922  for (J2=J1;J2<4;J2++) { // 120
923  SM[J1][J2]=SM[J1][J2]+PWT*P[I][J1]*P[I][J2];
924  }
925  } // 130
926  PS=PS+PWT*PA*PA;
927  } //140
928 // C...Very low multiplicities (0 or 1) not considered.
929  if(NP<2) {
930  //SPH=-1.; //FIXME: commented out since gcc461 complained that this variable is set but unused
931  //APL=-1.; //FIXME: commented out since gcc461 complained that this variable is set but unused
932  return;
933  }
934  for (J1=1;J1<4;J1++) { // 160
935  for (J2=J1;J2<4;J2++) { // 150
936  SM[J1][J2]=SM[J1][J2]/PS;
937  }
938  } // 160
939 // C...Find eigenvalues to matrix (third degree equation).
940  SQ=(SM[1][1]*SM[2][2]+SM[1][1]*SM[3][3]+SM[2][2]*SM[3][3]
941  -pow(SM[1][2],2)
942  -pow(SM[1][3],2)-pow(SM[2][3],2))/3.-1./9.;
943  SR=-0.5*(SQ+1./9.+SM[1][1]*pow(SM[2][3],2)+SM[2][2]*pow(SM[1][3],2)+SM[3][3]*
944  pow(SM[1][2],2)-SM[1][1]*SM[2][2]*SM[3][3])+SM[1][2]*SM[1][3]*SM[2][3]+1./27.;
945 
946  SP=TMath::Cos(TMath::ACos(TMath::Max(TMath::Min(SR/TMath::Sqrt(-pow(SQ,3)),1.),-1.))/3.);
947 
948  P[N+1][4]=1./3.+TMath::Sqrt(-SQ)*TMath::Max(2.*SP,TMath::Sqrt(3.*(1.-SP*SP))-SP);
949  P[N+3][4]=1./3.+TMath::Sqrt(-SQ)*TMath::Min(2.*SP,-TMath::Sqrt(3.*(1.-SP*SP))-SP);
950  P[N+2][4]=1.-P[N+1][4]-P[N+3][4];
951  if (P[N+2][4]> 1E-5) {
952 
953 // C...Find first and last eigenvector by solving equation system.
954  for (I=1;I<4;I=I+2) { // 240
955  for (J1=1;J1<4;J1++) { // 180
956  SV[J1][J1]=SM[J1][J1]-P[N+I][4];
957  for (J2=J1+1;J2<4;J2++) { // 170
958  SV[J1][J2]=SM[J1][J2];
959  SV[J2][J1]=SM[J1][J2];
960  }
961  } // 180
962  SMAX=0.;
963  for (J1=1;J1<4;J1++) { // 200
964  for (J2=1;J2<4;J2++) { // 190
965  if(std::fabs(SV[J1][J2])>SMAX) { // 190
966  JA=J1;
967  JB=J2;
968  SMAX=std::fabs(SV[J1][J2]);
969  }
970  } // 190
971  } // 200
972  SMAX=0.;
973  for (J3=JA+1;J3<JA+3;J3++) { // 220
974  J1=J3-3*((J3-1)/3);
975  RL=SV[J1][JB]/SV[JA][JB];
976  for (J2=1;J2<4;J2++) { // 210
977  SV[J1][J2]=SV[J1][J2]-RL*SV[JA][J2];
978  if (std::fabs(SV[J1][J2])>SMAX) { // GOTO 210
979  JC=J1;
980  SMAX=std::fabs(SV[J1][J2]);
981  }
982  } // 210
983  } // 220
984  JB1=JB+1-3*(JB/3);
985  JB2=JB+2-3*((JB+1)/3);
986  P[N+I][JB1]=-SV[JC][JB2];
987  P[N+I][JB2]=SV[JC][JB1];
988  P[N+I][JB]=-(SV[JA][JB1]*P[N+I][JB1]+SV[JA][JB2]*P[N+I][JB2])/
989  SV[JA][JB];
990  PA=TMath::Sqrt(pow(P[N+I][1],2)+pow(P[N+I][2],2)+pow(P[N+I][3],2));
991 // make a random number
992  float pa=P[N-1][I];
993  rlu=std::fabs(pa)-std::fabs(int(pa)*1.);
994  rlu1=std::fabs(pa*pa)-std::fabs(int(pa*pa)*1.);
995  SGN=pow((-1.),1.*int(rlu+0.5));
996  for (J=1;J<4;J++) { // 230
997  P[N+I][J]=SGN*P[N+I][J]/PA;
998  } // 230
999  } // 240
1000 
1001 // C...Middle axis orthogonal to other two. Fill other codes.
1002  SGN=pow((-1.),1.*int(rlu1+0.5));
1003  P[N+2][1]=SGN*(P[N+1][2]*P[N+3][3]-P[N+1][3]*P[N+3][2]);
1004  P[N+2][2]=SGN*(P[N+1][3]*P[N+3][1]-P[N+1][1]*P[N+3][3]);
1005  P[N+2][3]=SGN*(P[N+1][1]*P[N+3][2]-P[N+1][2]*P[N+3][1]);
1006 
1007 // C...Calculate sphericity and aplanarity. Select storing option.
1008  //SPH=1.5*(P[N+2][4]+P[N+3][4]); //FIXME: commented out since gcc461 complained that this variable is set but unused
1009  //APL=1.5*P[N+3][4]; //FIXME: commented out since gcc461 complained that this variable is set but unused
1010 
1011  } // check 1
1012 
1013  // so assume now we have Sphericity axis, which one give the minimal Pts
1014  double etstot[4];
1015  double eltot[4];
1016  double sum23=0;
1017  double sum22=0;
1018  double sum33=0;
1019  double pina[4];
1020  double ax[4], ay[4], az[4];
1021  for (int ia=1;ia<4;ia++) {
1022  etstot[ia]=0;
1023  eltot[ia]=0;
1024  pina[ia]=0;
1025  ax[ia]=P[N+ia][1];
1026  ay[ia]=P[N+ia][2];
1027  az[ia]=P[N+ia][3];
1028  ax[ia]/=sqrt(ax[ia]*ax[ia]+ay[ia]*ay[ia]+az[ia]*az[ia]);
1029  ay[ia]/=sqrt(ax[ia]*ax[ia]+ay[ia]*ay[ia]+az[ia]*az[ia]);
1030  az[ia]/=sqrt(ax[ia]*ax[ia]+ay[ia]*ay[ia]+az[ia]*az[ia]);
1031  }
1032 
1033 
1034  for (int k =0 ; k<m_np ; k++) {
1035  // double eta,phi;
1036  // getetaphi(m_mom(k,1),m_mom(k,2),m_mom(k,3),eta,phi);
1037  double W=1.0;
1038  for (int ia=1;ia<4;ia++) {
1039  double e=sqrt(m_mom(k,1)*m_mom(k,1) +
1040  m_mom(k,2)*m_mom(k,2) +
1041  m_mom(k,3)*m_mom(k,3));
1042  double el=ax[ia]*m_mom(k,1) + ay[ia]*m_mom(k,2) + az[ia]*m_mom(k,3);
1043  pina[ia]=el;
1044  double ets=(e*e-el*el);
1045  etstot[ia]+=ets*W;
1046  eltot[ia]+=el*el;
1047  }
1048  double a2=pina[2];
1049  double a3=pina[3];
1050  // double h=0.4;
1051  //a2=pina[2]*cos(h)+pina[3]*sin(h);
1052  //a3=pina[3]*cos(h)-pina[2]*sin(h);
1053  sum22+=a2*a2*W;
1054  sum23+=a2*a3*W;
1055  sum33+=a3*a3*W;
1056  }
1057 
1058 
1059 
1060  double pi=3.1415927;
1061  double phi=pi/2.0;
1062  double phip=pi/2.0;
1063  double a=sum23;
1064  double c=-a;
1065  double b=sum22-sum33;
1066  double disc=b*b-4*a*c;
1067  // cout << " disc " << disc << endl;
1068  if (disc>=0) {
1069  double x1=(sqrt(disc)-b)/2/a;
1070  double x2=(-sqrt(disc)-b)/2/a;
1071  phi=atan(x1);
1072  phip=atan(x2);
1073  if (phi<0) phi=2.*pi+phi;
1074  if (phip<0) phip=2.*pi+phip;
1075  }
1076  double p21=sum22*cos(phi)*cos(phi)+sum33*sin(phi)*sin(phi)+2*sum23*cos(phi)*sin(phi);
1077  double p31=sum22*sin(phi)*sin(phi)+sum33*cos(phi)*cos(phi)-2*sum23*cos(phi)*sin(phi);
1078 
1079  double p22=sum22*cos(phip)*cos(phip)+sum33*sin(phip)*sin(phip)+2*sum23*cos(phip)*sin(phip);
1080  double p32=sum22*sin(phip)*sin(phip)+sum33*cos(phip)*cos(phip)-2*sum23*cos(phip)*sin(phip);
1081 
1082 
1083  double d1=std::fabs(p31*p31 - p21*p21);
1084  double d2=std::fabs(p32*p32 - p22*p22);
1085  //cout << " eltot " << eltot[2] << " " << eltot[3] << endl;
1086  //cout << " phi " << phi << " " << phip << endl;
1087  //cout << " d " << d1 << " " << d2 << endl;
1088  p2=p21;
1089  p3=p31;
1090  if (d2>d1) {
1091  p2=p22;
1092  p3=p32;
1093  }
1094  pnorm=sqrt(eltot[1]);
1095  if (p2>p3) {
1096  p3=sqrt(p3);
1097  p2=sqrt(p2);
1098  }else {
1099  double p4=p3;
1100  p3=sqrt(p2);
1101  p2=sqrt(p4);
1102  }
1103  //cout << " sum2 sum3 " << sqrt(sum22) << " " << sqrt(sum33) << endl;
1104  //cout << " p2 p3 " << p2 << " " << p3 << endl;
1105  //double els=sqrt(eltot[2]*eltot[2]+eltot[3]*eltot[3]);
1106  // cout << " ets els " << (ettot[1]) << " " << els << endl;
1107 
1108  //m_sph=SPH; //FIXME: shouldn't the local variables be used to reset the class member variables accordingly?
1109  //m_apl=APL; //FIXME: shouldn't the local variables be used to reset the class member variables accordingly?
1110  return;
1111 } // end planes_sphe
1112 
1113 
1114 void TopologyWorker::planes_sphe_wei(double& pnorm, double& p2, double& p3) {
1115  //float SPH=-1; //FIXME: commented out since gcc461 complained that this variable is set but unused
1116  //float APL=-1; //FIXME: commented out since gcc461 complained that this variable is set but unused
1117 // C...Calculate matrix to be diagonalized.
1118  float P[1000][6];
1119  double SM[4][4],SV[4][4];
1120  double PA,PWT,PS,SQ,SR,SP,SMAX,SGN;
1121  int NP;
1122  int J, J1, J2, I, N, JA, JB, J3, JC, JB1, JB2;
1123  JA=JB=JC=0;
1124  double RL;
1125  float rlu,rlu1;
1126  //
1127  // --- get the input form GTRACK arrays
1128  //
1129  N=m_np;
1130  NP=0;
1131  for (I=1;I<N+1;I++){
1132  NP++; // start at one
1133  P[NP][1]=m_mom(I-1,1) ;
1134  P[NP][2]=m_mom(I-1,2) ;
1135  P[NP][3]=m_mom(I-1,3) ;
1136  P[NP][4]=m_mom(I-1,4) ;
1137  P[NP][5]=0;
1138  }
1139  //
1140  //---
1141  //
1142  N=NP;
1143 
1144  for (J1=1;J1<4;J1++) {
1145  for (J2=J1;J2<4;J2++) {
1146  SM[J1][J2]=0.;
1147  }
1148  }
1149  PS=0.;
1150  for (I=1;I<N+1;I++) { // 140
1151  PA=sqrt(pow(P[I][1],2)+pow(P[I][2],2)+pow(P[I][3],2));
1152  // double eta,phi;
1153  // getetaphi(P[I][1],P[I][2],P[I][3],eta,phi);
1154  // PWT=exp(-std::fabs(eta));
1155  PWT=1.;
1156  for (J1=1;J1<4;J1++) { // 130
1157  for (J2=J1;J2<4;J2++) { // 120
1158  SM[J1][J2]=SM[J1][J2]+PWT*P[I][J1]*P[I][J2];
1159  }
1160  } // 130
1161  PS=PS+PWT*PA*PA;
1162  } //140
1163 // C...Very low multiplicities (0 or 1) not considered.
1164  if(NP<2) {
1165  //SPH=-1.; //FIXME: commented out since gcc461 complained that this variable is set but unused
1166  //APL=-1.; //FIXME: commented out since gcc461 complained that this variable is set but unused
1167  return;
1168  }
1169  for (J1=1;J1<4;J1++) { // 160
1170  for (J2=J1;J2<4;J2++) { // 150
1171  SM[J1][J2]=SM[J1][J2]/PS;
1172  }
1173  } // 160
1174 // C...Find eigenvalues to matrix (third degree equation).
1175  SQ=(SM[1][1]*SM[2][2]+SM[1][1]*SM[3][3]+SM[2][2]*SM[3][3]
1176  -pow(SM[1][2],2)
1177  -pow(SM[1][3],2)-pow(SM[2][3],2))/3.-1./9.;
1178  SR=-0.5*(SQ+1./9.+SM[1][1]*pow(SM[2][3],2)+SM[2][2]*pow(SM[1][3],2)+SM[3][3]*
1179  pow(SM[1][2],2)-SM[1][1]*SM[2][2]*SM[3][3])+SM[1][2]*SM[1][3]*SM[2][3]+1./27.;
1180 
1181  SP=TMath::Cos(TMath::ACos(TMath::Max(TMath::Min(SR/TMath::Sqrt(-pow(SQ,3)),1.),-1.))/3.);
1182 
1183  P[N+1][4]=1./3.+TMath::Sqrt(-SQ)*TMath::Max(2.*SP,TMath::Sqrt(3.*(1.-SP*SP))-SP);
1184  P[N+3][4]=1./3.+TMath::Sqrt(-SQ)*TMath::Min(2.*SP,-TMath::Sqrt(3.*(1.-SP*SP))-SP);
1185  P[N+2][4]=1.-P[N+1][4]-P[N+3][4];
1186  if (P[N+2][4]> 1E-5) {
1187 
1188 // C...Find first and last eigenvector by solving equation system.
1189  for (I=1;I<4;I=I+2) { // 240
1190  for (J1=1;J1<4;J1++) { // 180
1191  SV[J1][J1]=SM[J1][J1]-P[N+I][4];
1192  for (J2=J1+1;J2<4;J2++) { // 170
1193  SV[J1][J2]=SM[J1][J2];
1194  SV[J2][J1]=SM[J1][J2];
1195  }
1196  } // 180
1197  SMAX=0.;
1198  for (J1=1;J1<4;J1++) { // 200
1199  for (J2=1;J2<4;J2++) { // 190
1200  if(std::fabs(SV[J1][J2])>SMAX) { // 190
1201  JA=J1;
1202  JB=J2;
1203  SMAX=std::fabs(SV[J1][J2]);
1204  }
1205  } // 190
1206  } // 200
1207  SMAX=0.;
1208  for (J3=JA+1;J3<JA+3;J3++) { // 220
1209  J1=J3-3*((J3-1)/3);
1210  RL=SV[J1][JB]/SV[JA][JB];
1211  for (J2=1;J2<4;J2++) { // 210
1212  SV[J1][J2]=SV[J1][J2]-RL*SV[JA][J2];
1213  if (std::fabs(SV[J1][J2])>SMAX) { // GOTO 210
1214  JC=J1;
1215  SMAX=std::fabs(SV[J1][J2]);
1216  }
1217  } // 210
1218  } // 220
1219  JB1=JB+1-3*(JB/3);
1220  JB2=JB+2-3*((JB+1)/3);
1221  P[N+I][JB1]=-SV[JC][JB2];
1222  P[N+I][JB2]=SV[JC][JB1];
1223  P[N+I][JB]=-(SV[JA][JB1]*P[N+I][JB1]+SV[JA][JB2]*P[N+I][JB2])/
1224  SV[JA][JB];
1225  PA=TMath::Sqrt(pow(P[N+I][1],2)+pow(P[N+I][2],2)+pow(P[N+I][3],2));
1226 // make a random number
1227  float pa=P[N-1][I];
1228  rlu=std::fabs(pa)-std::fabs(int(pa)*1.);
1229  rlu1=std::fabs(pa*pa)-std::fabs(int(pa*pa)*1.);
1230  SGN=pow((-1.),1.*int(rlu+0.5));
1231  for (J=1;J<4;J++) { // 230
1232  P[N+I][J]=SGN*P[N+I][J]/PA;
1233  } // 230
1234  } // 240
1235 
1236 // C...Middle axis orthogonal to other two. Fill other codes.
1237  SGN=pow((-1.),1.*int(rlu1+0.5));
1238  P[N+2][1]=SGN*(P[N+1][2]*P[N+3][3]-P[N+1][3]*P[N+3][2]);
1239  P[N+2][2]=SGN*(P[N+1][3]*P[N+3][1]-P[N+1][1]*P[N+3][3]);
1240  P[N+2][3]=SGN*(P[N+1][1]*P[N+3][2]-P[N+1][2]*P[N+3][1]);
1241 
1242 // C...Calculate sphericity and aplanarity. Select storing option.
1243  //SPH=1.5*(P[N+2][4]+P[N+3][4]); //FIXME: commented out since gcc461 complained that this variable is set but unused
1244  //APL=1.5*P[N+3][4]; //FIXME: commented out since gcc461 complained that this variable is set but unused
1245 
1246  } // check 1
1247 
1248  // so assume now we have Sphericity axis, which one give the minimal Pts
1249  double etstot[4];
1250  double eltot[4];
1251  double sum23=0;
1252  double sum22=0;
1253  double sum33=0;
1254  double pina[4];
1255  double ax[4], ay[4], az[4];
1256  for (int ia=1;ia<4;ia++) {
1257  etstot[ia]=0;
1258  eltot[ia]=0;
1259  pina[ia]=0;
1260  ax[ia]=P[N+ia][1];
1261  ay[ia]=P[N+ia][2];
1262  az[ia]=P[N+ia][3];
1263  ax[ia]/=sqrt(ax[ia]*ax[ia]+ay[ia]*ay[ia]+az[ia]*az[ia]);
1264  ay[ia]/=sqrt(ax[ia]*ax[ia]+ay[ia]*ay[ia]+az[ia]*az[ia]);
1265  az[ia]/=sqrt(ax[ia]*ax[ia]+ay[ia]*ay[ia]+az[ia]*az[ia]);
1266  }
1267 
1268  for (int k =0 ; k<m_np ; k++) {
1269  double eta,phi;
1270  getetaphi(m_mom(k,1),m_mom(k,2),m_mom(k,3),eta,phi);
1271  double W=exp(-std::fabs(eta*1.0));
1272  for (int ia=1;ia<4;ia++) {
1273  double e=sqrt(m_mom(k,1)*m_mom(k,1) +
1274  m_mom(k,2)*m_mom(k,2) +
1275  m_mom(k,3)*m_mom(k,3));
1276  double el=ax[ia]*m_mom(k,1) + ay[ia]*m_mom(k,2) + az[ia]*m_mom(k,3);
1277  pina[ia]=el;
1278  double ets=(e*e-el*el);
1279  etstot[ia]+=ets*W;
1280  eltot[ia]+=el*el*W;
1281  }
1282  double a2=pina[2];
1283  double a3=pina[3];
1284  // double h=0.4;
1285  //a2=pina[2]*cos(h)+pina[3]*sin(h);
1286  //a3=pina[3]*cos(h)-pina[2]*sin(h);
1287  sum22+=a2*a2*W;
1288  sum23+=a2*a3*W;
1289  sum33+=a3*a3*W;
1290  }
1291 
1292 
1293  double pi=3.1415927;
1294  double phi=pi/2.0;
1295  double phip=pi/2.0;
1296  double a=sum23;
1297  double c=-a;
1298  double b=sum22-sum33;
1299  double disc=b*b-4*a*c;
1300  // cout << " disc " << disc << endl;
1301  if (disc>=0) {
1302  double x1=(sqrt(disc)-b)/2/a;
1303  double x2=(-sqrt(disc)-b)/2/a;
1304  phi=atan(x1);
1305  phip=atan(x2);
1306  if (phi<0) phi=2.*pi+phi;
1307  if (phip<0) phip=2.*pi+phip;
1308  }
1309  double p21=sum22*cos(phi)*cos(phi)+sum33*sin(phi)*sin(phi)+2*sum23*cos(phi)*sin(phi);
1310  double p31=sum22*sin(phi)*sin(phi)+sum33*cos(phi)*cos(phi)-2*sum23*cos(phi)*sin(phi);
1311 
1312  double p22=sum22*cos(phip)*cos(phip)+sum33*sin(phip)*sin(phip)+2*sum23*cos(phip)*sin(phip);
1313  double p32=sum22*sin(phip)*sin(phip)+sum33*cos(phip)*cos(phip)-2*sum23*cos(phip)*sin(phip);
1314 
1315 
1316  double d1=std::fabs(p31*p31 - p21*p21);
1317  double d2=std::fabs(p32*p32 - p22*p22);
1318  //cout << " eltot " << eltot[2] << " " << eltot[3] << endl;
1319  //cout << " phi " << phi << " " << phip << endl;
1320  //cout << " d " << d1 << " " << d2 << endl;
1321  p2=p21;
1322  p3=p31;
1323  if (d2>d1) {
1324  p2=p22;
1325  p3=p32;
1326  }
1327  pnorm=sqrt(eltot[1]);
1328  if (p2>p3) {
1329  p3=sqrt(p3);
1330  p2=sqrt(p2);
1331  }else {
1332  double p4=p3;
1333  p3=sqrt(p2);
1334  p2=sqrt(p4);
1335  }
1336  //cout << " sum2 sum3 " << sqrt(sum22) << " " << sqrt(sum33) << endl;
1337  //cout << " p2 p3 " << p2 << " " << p3 << endl;
1338  //double els=sqrt(eltot[2]*eltot[2]+eltot[3]*eltot[3]);
1339  // cout << " ets els " << (ettot[1]) << " " << els << endl;
1340 
1341  //m_sph=SPH; //FIXME: shouldn't the local variables be used to reset the class member variables accordingly?
1342  //m_apl=APL; //FIXME: shouldn't the local variables be used to reset the class member variables accordingly?
1343  return;
1344 } // end planes_sphe
1345 
1346 
1347 
1348 void TopologyWorker::planes_thrust(double& pnorm, double& p2, double& p3) {
1349  TVector3 thrustaxis=thrustAxis();
1350  TVector3 majoraxis=majorAxis();
1351  TVector3 minoraxis=minorAxis();
1352  // so assume now we have Sphericity axis, which one give the minimal Pts
1353  double etstot[4];
1354  double eltot[4];
1355  double sum23=0;
1356  double sum22=0;
1357  double sum33=0;
1358  double pina[4];
1359  double ax[4], ay[4], az[4];
1360  ax[1]=thrustaxis(0); ay[1]=thrustaxis(1); az[1]=thrustaxis(2);
1361  ax[2]=minoraxis(0); ay[2]=minoraxis(1); az[2]=minoraxis(2);
1362  ax[3]=majoraxis(0); ay[3]=majoraxis(1); az[3]=majoraxis(2);
1363  for (int ia=1;ia<4;ia++) {
1364  etstot[ia]=0;
1365  eltot[ia]=0;
1366  pina[ia]=0;
1367  ax[ia]/=sqrt(ax[ia]*ax[ia]+ay[ia]*ay[ia]+az[ia]*az[ia]);
1368  ay[ia]/=sqrt(ax[ia]*ax[ia]+ay[ia]*ay[ia]+az[ia]*az[ia]);
1369  az[ia]/=sqrt(ax[ia]*ax[ia]+ay[ia]*ay[ia]+az[ia]*az[ia]);
1370  }
1371 
1372  for (int k =0 ; k<m_np ; k++) {
1373  for (int ia=1;ia<4;ia++) {
1374  double e=sqrt(m_mom(k,1)*m_mom(k,1) +
1375  m_mom(k,2)*m_mom(k,2) +
1376  m_mom(k,3)*m_mom(k,3));
1377  double el=ax[ia]*m_mom(k,1) + ay[ia]*m_mom(k,2) + az[ia]*m_mom(k,3);
1378  pina[ia]=el;
1379  double ets=(e*e-el*el);
1380  etstot[ia]+=ets;
1381  eltot[ia]+=std::fabs(el);
1382  }
1383  double a2=pina[2];
1384  double a3=pina[3];
1385  // double h=0.4;
1386  //a2=pina[2]*cos(h)+pina[3]*sin(h);
1387  //a3=pina[3]*cos(h)-pina[2]*sin(h);
1388  sum22+=a2*a2;
1389  sum23+=a2*a3;
1390  sum33+=a3*a3;
1391  }
1392 
1393 
1394  double pi=3.1415927;
1395  double phi=pi/2.0;
1396  double phip=pi/2.0;
1397  double a=sum23;
1398  double c=-a;
1399  double b=sum22-sum33;
1400  double disc=b*b-4*a*c;
1401  // cout << " disc " << disc << endl;
1402  if (disc>=0) {
1403  double x1=(sqrt(disc)-b)/2/a;
1404  double x2=(-sqrt(disc)-b)/2/a;
1405  phi=atan(x1);
1406  phip=atan(x2);
1407  if (phi<0) phi=2.*pi+phi;
1408  if (phip<0) phip=2.*pi+phip;
1409  }
1410  double p21=sum22*cos(phi)*cos(phi)+sum33*sin(phi)*sin(phi)+2*sum23*cos(phi)*sin(phi);
1411  double p31=sum22*sin(phi)*sin(phi)+sum33*cos(phi)*cos(phi)-2*sum23*cos(phi)*sin(phi);
1412 
1413  double p22=sum22*cos(phip)*cos(phip)+sum33*sin(phip)*sin(phip)+2*sum23*cos(phip)*sin(phip);
1414  double p32=sum22*sin(phip)*sin(phip)+sum33*cos(phip)*cos(phip)-2*sum23*cos(phip)*sin(phip);
1415 
1416 
1417  double d1=std::fabs(p31*p31 - p21*p21);
1418  double d2=std::fabs(p32*p32 - p22*p22);
1419  //cout << " eltot " << eltot[2] << " " << eltot[3] << endl;
1420  //cout << " phi " << phi << " " << phip << endl;
1421  //cout << " d " << d1 << " " << d2 << endl;
1422  p2=p21;
1423  p3=p31;
1424  if (d2>d1) {
1425  p2=p22;
1426  p3=p32;
1427  }
1428  pnorm=sqrt(etstot[1]);
1429  if (p2>p3) {
1430  p3=sqrt(p3);
1431  p2=sqrt(p2);
1432  }else {
1433  double p4=p3;
1434  p3=sqrt(p2);
1435  p2=sqrt(p4);
1436  }
1437  //cout << " sum2 sum3 " << sqrt(sum22) << " " << sqrt(sum33) << endl;
1438  //cout << " p2 p3 " << p2 << " " << p3 << endl;
1439  //double els=sqrt(eltot[2]*eltot[2]+eltot[3]*eltot[3]);
1440  // cout << " ets els " << (ettot[1]) << " " << els << endl;
1441  return;
1442 } // end planes_thru
1443 
1444 
1445 void TopologyWorker::fowo() {
1446 // 20020830 changed: from p/E to Et/Ettot and include H50 and H60
1447  m_fowo_called=true;
1448  // include fox wolframs
1449  float H10=-1;
1450  float H20=-1;
1451  float H30=-1;
1452  float H40=-1;
1453  float H50=-1;
1454  float H60=-1;
1455  if (1==1) {
1456  float P[1000][6],H0,HD,CTHE;
1457  int N,NP,I,J,I1,I2;
1458  H0=HD=0.;
1459  N=m_np;
1460  NP=0;
1461  for (I=1;I<N+1;I++){
1462  NP++; // start at one
1463  P[NP][1]=m_mom(I-1,1) ;
1464  P[NP][2]=m_mom(I-1,2) ;
1465  P[NP][3]=m_mom(I-1,3) ;
1466  P[NP][4]=m_mom(I-1,4) ;
1467  P[NP][5]=m_mom(I-1,5) ;
1468  }
1469 
1470  N=NP;
1471  NP=0;
1472 
1473  for (I=1;I<N+1;I++) {
1474  NP=NP+1;
1475  for (J=1;J<5;J++) {
1476  P[N+NP][J]=P[I][J];
1477  }
1478 // p/E
1479  P[N+NP][4]=sqrt(pow(P[I][1],2)+pow(P[I][2],2)+pow(P[I][3],2));
1480 // Et/Ettot
1481  P[N+NP][5]=sqrt(pow(P[I][1],2)+pow(P[I][2],2));
1482  H0=H0+P[N+NP][5];
1483  HD=HD+pow(P[N+NP][5],2);
1484  }
1485  H0=H0*H0;
1486 
1487 
1488 
1489  // Very low multiplicities (0 or 1) not considered.
1490  if (NP<2) {
1491  H10=-1.;
1492  H20=-1.;
1493  H30=-1.;
1494  H40=-1.;
1495  H50=-1.;
1496  H60=-1.;
1497  return;
1498  }
1499 
1500  // Calculate H1 - H4.
1501  H10=0.;
1502  H20=0.;
1503  H30=0.;
1504  H40=0.;
1505  H50=0.;
1506  H60=0.;
1507  for (I1=N+1;I1<N+NP+1;I1++) { //130
1508  for (I2=I1+1;I2<N+NP+1;I2++) { // 120
1509  CTHE=(P[I1][1]*P[I2][1]+P[I1][2]*P[I2][2]+P[I1][3]*P[I2][3])/
1510  (P[I1][4]*P[I2][4]);
1511  H10=H10+P[I1][5]*P[I2][5]*CTHE;
1512  double C2=(1.5*CTHE*CTHE-0.5);
1513  H20=H20+P[I1][5]*P[I2][5]*C2;
1514  double C3=(2.5*CTHE*CTHE*CTHE-1.5*CTHE);
1515  H30=H30+P[I1][5]*P[I2][5]*C3;
1516  // use recurrence
1517  double C4=(7*CTHE*C3 - 3*C2)/4.;
1518  double C5=(9*CTHE*C4 - 4*C3)/5.;
1519  double C6=(11*CTHE*C5 - 5*C4)/6.;
1520 // H40=H40+P[I1][5]*P[I2][5]*(4.375*pow(CTHE,4)-3.75*CTHE*CTHE+0.375);
1521 // H50=H50+P[I1][5]*P[I2][5]*
1522 // (63./8.*pow(CTHE,5)-70./8.*CTHE*CTHE*CTHE+15./8.*CTHE);
1523 // H60=H60+P[I1][5]*P[I2][5]*
1524 // (231/16.*pow(CTHE,6)-315./16.*CTHE*CTHE*CTHE*CTHE+105./16.*CTHE*CTHE-5./16.);
1525  H40=H40+P[I1][5]*P[I2][5]*C4;
1526  H50=H50+P[I1][5]*P[I2][5]*C5;
1527  H60=H60+P[I1][5]*P[I2][5]*C6;
1528  } // 120
1529  } // 130
1530 
1531  H10=(HD+2.*H10)/H0;
1532  H20=(HD+2.*H20)/H0;
1533  H30=(HD+2.*H30)/H0;
1534  H40=(HD+2.*H40)/H0;
1535  H50=(HD+2.*H50)/H0;
1536  H60=(HD+2.*H60)/H0;
1537  m_h10=H10;
1538  m_h20=H20;
1539  m_h30=H30;
1540  m_h40=H40;
1541  m_h50=H50;
1542  m_h60=H60;
1543  }
1544 
1545 }
1546 
1547 double TopologyWorker::get_h10() {
1548  if (!m_fowo_called) fowo();
1549  return m_h10;
1550 }
1551 double TopologyWorker::get_h20() {
1552  if (!m_fowo_called) fowo();
1553  return m_h20;
1554 }
1555 double TopologyWorker::get_h30() {
1556  if (!m_fowo_called) fowo();
1557  return m_h30;
1558 }
1559 double TopologyWorker::get_h40() {
1560  if (!m_fowo_called) fowo();
1561  return m_h40;
1562 }
1563 
1564 double TopologyWorker::get_h50() {
1565  if (!m_fowo_called) fowo();
1566  return m_h50;
1567 }
1568 double TopologyWorker::get_h60() {
1569  if (!m_fowo_called) fowo();
1570  return m_h60;
1571 }
1572 
1573 
1574 double TopologyWorker::get_sphericity() {
1575  if (!m_sanda_called) sanda();
1576  return m_sph;
1577 }
1578 double TopologyWorker::get_aplanarity() {
1579  if (!m_sanda_called) sanda();
1580  return m_apl;
1581 }
1582 
1583 void TopologyWorker::getetaphi(double px, double py, double pz, double& eta, double& phi) {
1584 
1585  double pi=3.1415927;
1586 
1587  double p=sqrt(px*px+py*py+pz*pz);
1588  // get eta and phi
1589  double th=pi/2.;
1590  if (p!=0) {
1591  th=acos(pz/p); // Theta
1592  }
1593  float thg=th;
1594  if (th<=0) {
1595  thg = pi + th;
1596  }
1597  eta=-9.;
1598  if (tan( thg/2.0 )>0.000001) {
1599  eta = -log( tan( thg/2.0 ) );
1600  }
1601  phi = atan2(py,px);
1602  if(phi<=0) phi += 2.0*pi;
1603  return;
1604 }
1605 
1606 
1607 
1608 void TopologyWorker::sumangles(float& sdeta, float& sdr) {
1609  double eta1,eta2,phi1,phi2,deta,dphi,dr;
1610  m_sumangles_called=true;
1611  sdeta=0;
1612  sdr=0;
1613  for (int k=0;k<m_np;k++){
1614  for (int kp=k;kp<m_np;kp++){
1615  getetaphi(m_mom(k,1) , m_mom(k,2), m_mom(k,3), eta1,phi1);
1616  getetaphi(m_mom(kp,1) , m_mom(kp,2), m_mom(kp,3), eta2,phi2);
1617  dphi=std::fabs(phi1-phi2);
1618  if (dphi>3.1415) dphi=2*3.1415-dphi;
1619  deta=std::fabs(eta1-eta2);
1620  dr=sqrt(dphi*dphi+deta*deta);
1621  sdeta+=deta;
1622  sdr+=dr;
1623  }
1624  }
1625  return;
1626 }
1627 
1628 //______________________________________________________________
1629 
1630 Int_t TopologyWorker::iPow(Int_t man, Int_t exp)
1631 {
1632  Int_t ans = 1;
1633  for( Int_t k = 0; k < exp; k++)
1634  {
1635  ans = ans*man;
1636  }
1637  return ans;
1638 }
1639 
1640 // added by Freya:
1641 
1642 void TopologyWorker::CalcWmul(){
1643 
1644  Int_t njets = m_np;
1645  double result=0;
1646  for(Int_t ijet=0; ijet<njets-1; ijet++){
1647  double emin=55;
1648  double emax=55;
1649  if(CalcPt(ijet)<55)
1650  emax=CalcPt(ijet);
1651  if(CalcPt(ijet+1)<55)
1652  emin=CalcPt(ijet+1);
1653  result+=0.5 * (emax*emax-emin*emin)*(ijet+1);
1654  }
1655  double elo=15;
1656  if(CalcPt(njets-1)>elo){
1657  elo=CalcPt(njets-1);
1658  }
1659 
1660  result+=0.5 * (elo*elo-(15*15))*(njets);
1661  result/=((55*55)-100)/2.0;
1662  m_njetsweighed=result;
1663 }
1664 
1665 //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
1666 
1667 void TopologyWorker::CalcSqrts(){
1668  TLorentzVector event(0,0,0,0);
1669  TLorentzVector worker(0,0,0,0);
1670 
1671  for(int i=0; i< m_np; i++){
1672  double energy=m_mom(i,4);
1673  if(m_mom(i,4)<0.00001)
1674  energy=sqrt(pow(m_mom(i,1),2)+pow(m_mom(i,2),2)+pow(m_mom(i,3),2));
1675  // assume massless particle if only TVector3s are provided...
1676  worker.SetXYZT(m_mom(i,1),m_mom(i,2),m_mom(i,3),energy);
1677  event+=worker;
1678  }
1679  m_sqrts=event.M();
1680 }
1681 
1682 //++++++++++++++++++++++++++++++++++++++
1683 void TopologyWorker::CalcHTstuff(){
1684  m_ht=0;
1685  m_ht3=0;
1686  m_et56=0;
1687  m_et0=0;
1688  double ptlead=0;
1689  double h=0;
1690  for(int i=0; i< m_np; i++){
1691  //cout << i << "/" << m_np << ":" << CalcPt(i) << endl;
1692  m_ht+=CalcPt(i);
1693  h+=m_mom(i,4);
1694  if(i>1)
1695  m_ht3+=CalcPt(i);
1696  if(i==5)
1697  m_et56=sqrt(CalcPt(i)*CalcPt(i-1));
1698  }
1699 
1700  for(int j=0; j< m_np2; j++){
1701  //cout << j << "/" << m_np2 << ":" << CalcPt2(j) << endl;
1702  if(ptlead<CalcPt2(j))
1703  ptlead=CalcPt2(j);
1704 
1705  }
1706  if(m_ht>0.0001){
1707  m_et0=ptlead/m_ht;
1708  //cout << "calculating ETO" << m_et0 << "=" << ptlead << endl;
1709  }
1710  if(h>0.00001)
1711  m_centrality=m_ht/h;
1712 }
1713 
1714 #endif
1715 
1716 
1717 
1718 
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