Belle II Software  release-08-01-10
VertexFitKFit.cc
1 /**************************************************************************
2  * basf2 (Belle II Analysis Software Framework) *
3  * Author: The Belle II Collaboration *
4  * External Contributor: J. Tanaka *
5  * *
6  * See git log for contributors and copyright holders. *
7  * This file is licensed under LGPL-3.0, see LICENSE.md. *
8  **************************************************************************/
9 
10 
11 #include <algorithm>
12 #include <cstdio>
13 
14 #include <TMatrixFSym.h>
15 
16 #include <analysis/VertexFitting/KFit/MakeMotherKFit.h>
17 #include <analysis/VertexFitting/KFit/VertexFitKFit.h>
18 #include <analysis/utility/CLHEPToROOT.h>
19 #include <framework/gearbox/Const.h>
20 
21 using namespace std;
22 using namespace Belle2;
23 using namespace Belle2::analysis;
24 using namespace CLHEP;
25 
26 VertexFitKFit::VertexFitKFit():
27  m_BeforeVertex(HepPoint3D(0, 0, 0)),
28  m_AfterVertexError(HepSymMatrix(3, 0)),
29  m_BeamError(HepSymMatrix(3, 0))
30 {
31  m_CorrelationMode = false;
32  m_FlagFitted = false;
33  m_FlagKnownVertex = false;
34  m_FlagBeam = false;
35  m_FlagTube = false;
36  m_iTrackTube = -1;
37  m_CHIsqVertex = 0;
39  m_V_E = HepMatrix(3, 3, 0);
40  m_v = HepMatrix(3, 1, 0);
41  m_v_a = HepMatrix(3, 1, 0);
42 
44 }
45 
47 
48 
51  m_BeforeVertex = v;
52 
54 }
55 
57 {
58  m_BeforeVertex = HepPoint3D(v.X(), v.Y(), v.Z());
60  return m_ErrorCode;
61 }
62 
64 VertexFitKFit::setIpProfile(const HepPoint3D& ip, const HepSymMatrix& ipe) {
65  if (m_FlagTube)
66  {
67  char buf[1024];
68  sprintf(buf, "%s:%s(): already constrained to IPtube", __FILE__, __func__);
69  B2FATAL(buf);
70  }
71 
72  m_FlagBeam = true;
73  m_BeforeVertex = ip;
74  m_BeamError = ipe;
75 
77 }
78 
79 
81 VertexFitKFit::setIpTubeProfile(const HepLorentzVector& p, const HepPoint3D& x, const HepSymMatrix& e, const double q) {
82  if (m_FlagBeam)
83  {
84  char buf[1024];
85  sprintf(buf, "%s:%s(): already constrained to IP", __FILE__, __func__);
86  B2FATAL(buf);
87  }
88 
89  m_FlagTube = true;
90  m_TubeTrack = KFitTrack(p, x, e, q);
91 
93 }
94 
95 
97 VertexFitKFit::setKnownVertex(const bool flag) {
98  m_FlagKnownVertex = flag;
99 
101 }
102 
103 
104 enum KFitError::ECode
105 VertexFitKFit::setCorrelationMode(const bool m) {
106  m_CorrelationMode = m;
107 
109 }
110 
111 
112 const HepPoint3D
113 VertexFitKFit::getVertex(const int flag) const
114 {
115  if (flag == KFitConst::kAfterFit && !isFitted()) return HepPoint3D();
116 
117  switch (flag) {
119  return m_BeforeVertex;
120 
122  return m_AfterVertex;
123 
124  default:
125  KFitError::displayError(__FILE__, __LINE__, __func__, KFitError::kOutOfRange);
126  return HepPoint3D();
127  }
128 }
129 
130 
131 const HepSymMatrix
133 {
134  return m_AfterVertexError;
135 }
136 
137 
138 double
140 {
141  return KFitBase::getCHIsq();
142 }
143 
144 
145 double
147 {
148  // only m_FlagBeam = 1
149  return m_CHIsqVertex;
150 }
151 
152 
153 const HepMatrix
155 {
156  if (!isTrackIDInRange(id)) return HepMatrix(3, KFitConst::kNumber7, 0);
157  return m_AfterTrackVertexError[id];
158 }
159 
160 
161 double
162 VertexFitKFit::getTrackCHIsq(const int id) const
163 {
164  if (!isTrackIDInRange(id)) return -1;
165 
167  return KFitBase::getTrackCHIsq(id);
168  }
169 
170  return m_EachCHIsq[id];
171 }
172 
173 
174 double
176 {
178  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
179  return -1;
180  }
181 
182  if (m_TrackCount == 0) {
183  KFitError::displayError(__FILE__, __LINE__, __func__, KFitError::kBadTrackSize);
184  return -1;
185  }
186 
187  double chisq = 0.0;
188  for (int i = 0; i < m_TrackCount; i++) {
189  const double i_chisq = this->getTrackCHIsq(i);
190  chisq += i_chisq;
191  }
192 
193  return chisq;
194 }
195 
196 
197 int
199 {
201  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
202  return 0;
203  }
204 
205  if (m_TrackCount == 0) {
206  KFitError::displayError(__FILE__, __LINE__, __func__, KFitError::kBadTrackSize);
207  return 0;
208  }
209 
210  return m_TrackCount * 2 - 2;
211 }
212 
213 
214 enum KFitError::ECode
216  if (m_FlagTube) this->appendTube();
217 
218  if (m_FlagBeam) m_ErrorCode = this->doFit4();
219  else if (m_FlagKnownVertex) m_ErrorCode = this->doFit5();
220  else if (m_CorrelationMode) m_ErrorCode = this->doFit2();
221  else
222  m_ErrorCode = this->doFit3();
223 
224  const enum KFitError::ECode tmp_ErrorCode = m_ErrorCode;
225 
226  if (m_FlagTube) this->deleteTube();
227 
228  if (tmp_ErrorCode == KFitError::kNoError) m_FlagFitted = true;
229 
230  return m_ErrorCode = tmp_ErrorCode;
231 }
232 
233 
234 enum KFitError::ECode
236  // use small Matrix --> No Correlation
238 
240  {
242  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
243  return m_ErrorCode;
244  }
245 
248 
249 
250  double chisq = 0;
251  double tmp2_chisq = KFitConst::kInitialCHIsq;
252  int err_inverse = 0;
253 
254  m_al_a = m_al_0;
255  HepMatrix tmp_al_a(m_al_a);
256 
257  HepMatrix tmp_D(m_D), tmp_E(m_E);
258  HepMatrix tmp_V_D(m_V_D), tmp_V_E(m_V_E);
259  HepMatrix tmp_lam0(m_lam0), tmp_v_a(m_v_a);
260 
261  HepMatrix tmp2_D(m_D), tmp2_E(m_E);
262  HepMatrix tmp2_V_D(m_V_D), tmp2_V_E(m_V_E);
263  HepMatrix tmp2_lam0(m_lam0), tmp2_v_a(m_v_a);
264 
265  std::vector<double> tmp_each_chisq(m_TrackCount);
266  std::vector<double> tmp2_each_chisq(m_TrackCount);
267 
268  for (int j = 0; j < KFitConst::kMaxIterationCount; j++) // j'th loop start
269  {
270 
271  double tmp_chisq = KFitConst::kInitialCHIsq;
272 
273  for (int i = 0; i < KFitConst::kMaxIterationCount; i++) { // i'th loop start
274 
277 
278  HepMatrix tV_Ein(3, 3, 0);
279  chisq = 0;
280 
281  for (int k = 0; k < m_TrackCount; k++) { // k'th loop start
282 
283  HepMatrix tD = m_D.sub(2 * k + 1, 2 * (k + 1), KFitConst::kNumber6 * k + 1, KFitConst::kNumber6 * (k + 1)); // 2x6
284  HepMatrix tV_D = ((m_V_al_0.sub(KFitConst::kNumber6 * k + 1,
285  (int)(KFitConst::kNumber6 * (k + 1)))).similarity(tD)).inverse(err_inverse); // 2x2
286  if (err_inverse) {
288  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
289  return m_ErrorCode;
290  }
291 
292  m_V_D.sub(2 * k + 1, 2 * k + 1, tV_D);
293  HepMatrix tE = m_E.sub(2 * k + 1, 2 * (k + 1), 1, 3); // 2x3
294  tV_Ein += (tE.T()) * tV_D * tE; // 3x3
295  HepMatrix tDeltaAl = (m_al_0 - m_al_1).sub(KFitConst::kNumber6 * k + 1, KFitConst::kNumber6 * (k + 1), 1, 1); // 6x1
296  HepMatrix td = m_d.sub(2 * k + 1, 2 * (k + 1), 1, 1); // 2x1
297  HepMatrix tlam0 = tV_D * (tD * tDeltaAl + td); // 2x2x(2x6x6x1+2x1) = 2x1
298  m_lam0.sub(2 * k + 1, 1, tlam0);
299  m_EachCHIsq[k] = ((tlam0.T()) * (tD * tDeltaAl + tE * (m_v - m_v_a) + td))(1, 1); // 1x2x(2x6x6x1+2x3x3x1+2x1)
300  chisq += m_EachCHIsq[k];
301  } // k'th loop over
302 
303  m_V_E = tV_Ein.inverse(err_inverse);
304  if (err_inverse) {
306  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
307  return m_ErrorCode;
308  }
309 
310  m_v_a = m_v_a - m_V_E * (m_E.T()) * m_lam0;
311 
312  if (tmp_chisq <= chisq) {
313  if (i == 0) {
315  } else {
316  for (int k = 0; k < m_TrackCount; k++) m_EachCHIsq[k] = tmp_each_chisq[k];
317  chisq = tmp_chisq;
318  m_v_a = tmp_v_a;
319  m_V_E = tmp_V_E;
320  m_V_D = tmp_V_D;
321  m_lam0 = tmp_lam0;
322  m_E = tmp_E;
323  m_D = tmp_D;
324  }
325  break;
326  } else {
327  for (int k = 0; k < m_TrackCount; k++) tmp_each_chisq[k] = m_EachCHIsq[k];
328  tmp_chisq = chisq;
329  tmp_v_a = m_v_a;
330  tmp_V_E = m_V_E;
331  tmp_V_D = m_V_D;
332  tmp_lam0 = m_lam0;
333  tmp_E = m_E;
334  tmp_D = m_D;
335  if (i == KFitConst::kMaxIterationCount - 1) {
336  m_FlagOverIteration = true;
337  }
338  }
339  } // i'th loop over
340 
341  m_al_a = m_al_1;
342  m_lam = m_lam0 - m_V_D * m_E * m_V_E * (m_E.T()) * m_lam0;
343  m_al_1 = m_al_0 - m_V_al_0 * (m_D.T()) * m_lam;
344 
345  if (j == 0) {
346 
347  for (int k = 0; k < m_TrackCount; k++) tmp2_each_chisq[k] = m_EachCHIsq[k];
348  tmp2_chisq = chisq;
349  tmp2_v_a = m_v_a;
350  tmp2_V_E = m_V_E;
351  tmp2_V_D = m_V_D;
352  tmp2_lam0 = m_lam0;
353  tmp2_E = m_E;
354  tmp2_D = m_D;
355  tmp_al_a = m_al_a;
356 
357  } else {
358 
359  if (tmp2_chisq <= chisq) {
360  for (int k = 0; k < m_TrackCount; k++) m_EachCHIsq[k] = tmp2_each_chisq[k];
361  chisq = tmp2_chisq;
362  m_v_a = tmp2_v_a;
363  m_V_E = tmp2_V_E;
364  m_V_D = tmp2_V_D;
365  m_lam0 = tmp2_lam0;
366  m_E = tmp2_E;
367  m_D = tmp2_D;
368  m_al_a = tmp_al_a;
369  break;
370  } else {
371  for (int k = 0; k < m_TrackCount; k++) tmp2_each_chisq[k] = m_EachCHIsq[k];
372  tmp2_chisq = chisq;
373  tmp2_v_a = m_v_a;
374  tmp2_V_E = m_V_E;
375  tmp2_V_D = m_V_D;
376  tmp2_lam0 = m_lam0;
377  tmp2_E = m_E;
378  tmp2_D = m_D;
379  tmp_al_a = m_al_a;
380  }
381  }
382  } // j'th loop over
383 
384 
386 
387  m_lam = m_lam0 - m_V_D * m_E * m_V_E * (m_E.T()) * m_lam0;
388  m_al_1 = m_al_0 - m_V_al_0 * (m_D.T()) * m_lam;
389  m_V_Dt = m_V_D - m_V_D * m_E * m_V_E * (m_E.T()) * m_V_D;
390  m_V_al_1 = m_V_al_0 - m_V_al_0 * (m_D.T()) * m_V_Dt * m_D * m_V_al_0;
391  m_Cov_v_al_1 = -m_V_E * (m_E.T()) * m_V_D * m_D * m_V_al_0;
392 
394 
395  m_CHIsq = chisq;
396 
398 }
399 
400 
401 enum KFitError::ECode
403  // included beam position constraint (only no correlation)
405 
407  {
409  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
410  return m_ErrorCode;
411  }
412 
415 
416 
417  double chisq = 0;
418  double tmp_chisq = KFitConst::kInitialCHIsq;
419  int err_inverse = 0;
420 
421  m_al_a = m_al_0;
422  HepMatrix tmp_al_a(m_al_a);
423 
424  HepMatrix tmp_D(m_D), tmp_E(m_E);
425  HepMatrix tmp_lam(m_lam);
426 
427  // vertex
428  m_v[0][0] = m_BeforeVertex.x();
429  m_v[1][0] = m_BeforeVertex.y();
430  m_v[2][0] = m_BeforeVertex.z();
431 
432  std::vector<double> tmp_each_chisq(m_TrackCount);
433  double tmp_vertex_chisq = 1.e+30; // An init-value is not needed but the C++ compiler requires the init-value.
434 
435  // to avoid overestimation of vertex-z error.
436  bool it_flag = false;
437 
438  for (int i = 0; i < KFitConst::kMaxIterationCount ; i++)
439  {
440 
442 
443  chisq = 0;
444 
445  HepMatrix tV_Dtin = m_V_al_0.similarity(m_D) + m_BeamError.similarity(m_E);
446  HepMatrix tV_Dt = tV_Dtin.inverse(err_inverse);
447  if (err_inverse) {
449  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
450  return m_ErrorCode;
451  }
452  m_lam = tV_Dt * (m_D * (m_al_0 - m_al_1) + m_E * (m_v - m_v_a) + m_d); // (2*nTrk)x1
453  for (int k = 0; k < m_TrackCount; k++) {
454  HepMatrix tD = m_D.sub(2 * k + 1, 2 * (k + 1), KFitConst::kNumber6 * k + 1, KFitConst::kNumber6 * (k + 1)); // 2x6
455  HepMatrix tDeltaAl = (m_al_0 - m_al_1).sub(KFitConst::kNumber6 * k + 1, KFitConst::kNumber6 * (k + 1), 1, 1); // 6x1
456  HepMatrix td = m_d.sub(2 * k + 1, 2 * (k + 1), 1, 1); // 2x1
457  HepMatrix tE = m_E.sub(2 * k + 1, 2 * (k + 1), 1, 3); // 2x3
458  chisq += ((m_lam.sub(2 * k + 1, 2 * (k + 1), 1, 1).T()) * (tD * tDeltaAl + tE * (m_v - m_v_a) + td))(1,
459  1); // 1x2x(2x6x6x1+2x3x3x1+2x1)
460  m_EachCHIsq[k] = (m_lam.sub(2 * k + 1, 2 * (k + 1), 1, 1).T() * tD * m_V_al_0.sub(KFitConst::kNumber6 * k + 1,
461  KFitConst::kNumber6 * (k + 1)) * (tD.T()) * m_lam.sub(2 * k + 1, 2 * (k + 1), 1, 1))(1, 1);
462  }
463 
464  m_CHIsqVertex = (m_lam.T() * m_E * m_BeamError * (m_E.T()) * m_lam)(1, 1);
465  m_al_a = m_al_1;
466  m_v_a = m_v - m_BeamError * (m_E.T()) * m_lam;
467  m_al_1 = m_al_0 - m_V_al_0 * (m_D.T()) * m_lam;
468 
469  if (tmp_chisq <= chisq && it_flag) {
470  if (i == 0) {
472  } else {
473  for (int k = 0; k < m_TrackCount; k++) m_EachCHIsq[k] = tmp_each_chisq[k];
474  m_CHIsqVertex = tmp_vertex_chisq;
475  chisq = tmp_chisq;
476  m_lam = tmp_lam;
477  m_E = tmp_E;
478  m_D = tmp_D;
479  m_al_a = tmp_al_a;
480  }
481  break;
482  } else {
483  if (tmp_chisq <= chisq) it_flag = true;
484  for (int k = 0; k < m_TrackCount; k++) tmp_each_chisq[k] = m_EachCHIsq[k];
485  tmp_vertex_chisq = m_CHIsqVertex;
486  tmp_chisq = chisq;
487  tmp_lam = m_lam;
488  tmp_E = m_E;
489  tmp_D = m_D;
490  tmp_al_a = m_al_a;
491  if (i == KFitConst::kMaxIterationCount - 1) {
492  m_FlagOverIteration = true;
493  }
494  }
495  }
496 
497 
499 
500  m_al_1 = m_al_0 - m_V_al_0 * (m_D.T()) * m_lam;
501  m_v_a = m_v - m_BeamError * (m_E.T()) * m_lam;
502  HepMatrix tV_Dtin = m_V_al_0.similarity(m_D) + m_BeamError.similarity(m_E);
503  m_V_Dt = tV_Dtin.inverse(err_inverse);
504  if (err_inverse)
505  {
507  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
508  return m_ErrorCode;
509  }
510 
511  m_V_al_1 = m_V_al_0 - m_V_al_0 * (m_D.T()) * m_V_Dt * m_D * m_V_al_0;
512  m_Cov_v_al_1 = -m_BeamError * (m_E.T()) * m_V_Dt * m_D * m_V_al_0;
513  // m_V_v is m_V_E
514  // --> need to replace m_V_E for my implimentaion.
516 
518 
519  m_CHIsq = chisq;
520 
522 }
523 
524 
525 enum KFitError::ECode
527  // known vertex --> do not find vertex. (only no correlation)
529 
531  {
533  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
534  return m_ErrorCode;
535  }
536 
539 
540 
541  double chisq = 0;
542  double tmp_chisq = KFitConst::kInitialCHIsq;
543  int err_inverse = 0;
544 
545  m_al_a = m_al_0;
546  HepMatrix tmp_al_a(m_al_a);
547 
548  HepMatrix tmp_al_0(m_al_1);
549  HepMatrix tmp_V_al_0(m_V_al_1);
550 
551  std::vector<double> tmp_each_chisq(m_TrackCount);
552 
553  for (int i = 0; i < KFitConst::kMaxIterationCount; i++)
554  {
555 
557 
558  chisq = 0;
559 
560  for (int k = 0; k < m_TrackCount; k++) {
561  HepMatrix tD = m_D.sub(2 * k + 1, 2 * (k + 1), KFitConst::kNumber6 * k + 1, KFitConst::kNumber6 * (k + 1)); // 2x6
562  HepMatrix tV_D = ((m_V_al_0.sub(KFitConst::kNumber6 * k + 1,
563  (int)(KFitConst::kNumber6 * (k + 1)))).similarity(tD)).inverse(err_inverse); // 2x2
564  if (err_inverse) {
566  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
567  return m_ErrorCode;
568  }
569  m_V_D.sub(2 * k + 1, 2 * k + 1, tV_D);
570 
571  HepMatrix tDeltaAl = (m_al_0 - m_al_1).sub(KFitConst::kNumber6 * k + 1, KFitConst::kNumber6 * (k + 1), 1, 1); // 6x1
572  HepMatrix td = m_d.sub(2 * k + 1, 2 * (k + 1), 1, 1); // 2x1
573  HepMatrix tlam = tV_D * (tD * tDeltaAl + td); // 2x2x(2x6x6x1+2x1) = 2x1
574  m_lam.sub(2 * k + 1, 1, tlam);
575  m_EachCHIsq[k] = ((tlam.T()) * (tD * tDeltaAl + td))(1, 1); // 1x2x(2x6x6x1+2x1)
576  chisq += m_EachCHIsq[k];
577  }
578 
579  m_al_a = m_al_1;
580  m_al_1 = m_al_0 - m_V_al_0 * (m_D.T()) * m_lam;
581  m_V_al_1 = m_V_al_0 - m_V_al_0 * (m_D.T()) * m_V_D * m_D * m_V_al_0;
582 
583  if (tmp_chisq <= chisq) {
584  if (i == 0) {
586  } else {
587  for (int k = 0; k < m_TrackCount; k++) m_EachCHIsq[k] = tmp_each_chisq[k];
588  chisq = tmp_chisq;
589  m_al_1 = tmp_al_0;
590  m_V_al_1 = tmp_V_al_0;
591  m_al_a = tmp_al_a;
592  }
593  break;
594  } else {
595  for (int k = 0; k < m_TrackCount; k++) tmp_each_chisq[k] = m_EachCHIsq[k];
596  tmp_chisq = chisq;
597  tmp_al_0 = m_al_1;
598  tmp_V_al_0 = m_V_al_1;
599  tmp_al_a = m_al_a;
600  if (i == KFitConst::kMaxIterationCount - 1) {
601  m_FlagOverIteration = true;
602  }
603  }
604  }
605 
606 
608 
610 
611  m_CHIsq = chisq;
612 
614 }
615 
616 
617 enum KFitError::ECode
620  {
623  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
624  return m_ErrorCode;
625  }
626  } else
627  {
630  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
631  return m_ErrorCode;
632  }
633  }
634 
635 
636  int index = 0;
637  HepMatrix tmp_al_0(KFitConst::kNumber6 * m_TrackCount, 1, 0);
638  HepSymMatrix tmp_V_al_0(KFitConst::kNumber6 * m_TrackCount, 0);
639  HepMatrix tmp_property(m_TrackCount, 3, 0);
640 
641 
642  for (auto& track : m_Tracks)
643  {
644  // momentum x,y,z and position x,y,z
645  for (int j = 0; j < KFitConst::kNumber6; j++)
646  tmp_al_0[index * KFitConst::kNumber6 + j][0] = track.getFitParameter(j, KFitConst::kBeforeFit);
647  // these error
648  tmp_V_al_0.sub(index * KFitConst::kNumber6 + 1, track.getFitError(KFitConst::kBeforeFit));
649  // charge , mass , a
650  tmp_property[index][0] = track.getCharge();
651  tmp_property[index][1] = track.getMass();
652  const double c = Belle2::Const::speedOfLight * 1e-4;
653  tmp_property[index][2] = -c * m_MagneticField * track.getCharge();
654  index++;
655  }
656 
657  // error between tarck and track
658  m_V_al_0 = tmp_V_al_0;
660  {
661  if (m_FlagCorrelation) {
662  this->prepareCorrelation();
664  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
665  return m_ErrorCode;
666  }
667  }
668  }
669 
670  // vertex
671  m_v_a[0][0] = m_BeforeVertex.x();
672  m_v_a[1][0] = m_BeforeVertex.y();
673  m_v_a[2][0] = m_BeforeVertex.z();
674 
675  // set member matrix
676  m_al_0 = tmp_al_0;
677  m_al_1 = m_al_0;
678  m_property = tmp_property;
679 
680  // define size of matrix
683  m_E = m_V_al_1.sub(1, m_TrackCount * 2, 1, 3);
684  m_d = m_V_al_1.sub(1, m_TrackCount * 2, 1, 1);
685  m_V_D = m_V_al_1.sub(1, m_TrackCount * 2, 1, m_TrackCount * 2);
686  m_lam = m_V_al_1.sub(1, m_TrackCount * 2, 1, 1);
687  m_lam0 = m_V_al_1.sub(1, m_TrackCount * 2, 1, 1);
688  m_V_Dt = m_V_al_1.sub(1, m_TrackCount * 2, 1, m_TrackCount * 2);
690 
692 }
693 
694 
695 enum KFitError::ECode
697  // vertex
698  for (int i = 0; i < 3; i++)
699  {
700  m_v[i][0] = m_v_a[i][0];
701  }
703 }
704 
705 
706 enum KFitError::ECode
708  Hep3Vector h3v;
709  unsigned index = 0;
710 
711  for (auto& pdata : m_Tracks)
712  {
713  // tracks
714  // momentum
715  h3v.setX(m_al_1[index * KFitConst::kNumber6 + 0][0]);
716  h3v.setY(m_al_1[index * KFitConst::kNumber6 + 1][0]);
717  h3v.setZ(m_al_1[index * KFitConst::kNumber6 + 2][0]);
718  pdata.setMomentum(HepLorentzVector(h3v, sqrt(h3v.mag2() + pdata.getMass()*pdata.getMass())), KFitConst::kAfterFit);
719  // position
720  pdata.setPosition(HepPoint3D(
721  m_al_1[index * KFitConst::kNumber6 + 3][0],
722  m_al_1[index * KFitConst::kNumber6 + 4][0],
724  // error of the tracks
725  pdata.setError(makeError1(pdata.getMomentum(),
726  m_V_al_1.sub(
727  index * KFitConst::kNumber6 + 1,
728  (index + 1)*KFitConst::kNumber6,
729  index * KFitConst::kNumber6 + 1,
730  (index + 1)*KFitConst::kNumber6)),
732  if (m_ErrorCode != KFitError::kNoError) break;
733  index++;
734  }
735 
736  // vertex
737  m_AfterVertex.setX(m_v_a[0][0]);
738  m_AfterVertex.setY(m_v_a[1][0]);
739  m_AfterVertex.setZ(m_v_a[2][0]);
740 
741  // error of the vertex
742  for (int i = 0; i < 3; i++) for (int j = i; j < 3; j++)
743  {
744  m_AfterVertexError[i][j] = m_V_E[i][j];
745  }
746 
747  // error between vertex and tracks
748  for (int i = 0; i < m_TrackCount; i++)
749  {
750  HepMatrix hm(3, KFitConst::kNumber6, 0);
751  for (int j = 0; j < 3; j++) for (int k = 0; k < KFitConst::kNumber6; k++) {
752  hm[j][k] = m_Cov_v_al_1[j][KFitConst::kNumber6 * i + k];
753  }
754  m_AfterTrackVertexError.push_back(makeError2(m_Tracks[i].getMomentum(), hm));
755  }
756 
758 }
759 
760 
761 enum KFitError::ECode
763  // vertex fit
764  for (int i = 0; i < m_TrackCount; i++)
765  {
766  double S, U;
767  double sininv;
768 
769  double px = m_al_1[i * KFitConst::kNumber6 + 0][0];
770  double py = m_al_1[i * KFitConst::kNumber6 + 1][0];
771  double pz = m_al_1[i * KFitConst::kNumber6 + 2][0];
772  double x = m_al_1[i * KFitConst::kNumber6 + 3][0];
773  double y = m_al_1[i * KFitConst::kNumber6 + 4][0];
774  double z = m_al_1[i * KFitConst::kNumber6 + 5][0];
775  double a = m_property[i][2];
776 
777  double pt = sqrt(px * px + py * py);
778  if (pt == 0) {
780  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
781  return m_ErrorCode;
782  }
783 
784  double invPt = 1. / pt;
785  double invPt2 = invPt * invPt;
786  double dlx = m_v_a[0][0] - x;
787  double dly = m_v_a[1][0] - y;
788  double dlz = m_v_a[2][0] - z;
789  double a1 = -dlx * py + dly * px;
790  double a2 = dlx * px + dly * py;
791  double r2d2 = dlx * dlx + dly * dly;
792  double Rx = dlx - 2.*px * a2 * invPt2;
793  double Ry = dly - 2.*py * a2 * invPt2;
794 
795  if (a != 0) { // charged
796 
797  double B = a * a2 * invPt2;
798  if (fabs(B) > 1) {
800  B2DEBUG(10, "KFitError: Cannot calculate arcsin");
801  //KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
802  return m_ErrorCode;
803  }
804  // sin^(-1)(B)
805  sininv = asin(B);
806  double tmp0 = 1.0 - B * B;
807  if (tmp0 == 0) {
809  KFitError::displayError(__FILE__, __LINE__, __func__, m_ErrorCode);
810  return m_ErrorCode;
811  }
812  // 1/sqrt(1-B^2)
813  double sqrtag = 1.0 / sqrt(tmp0);
814  S = sqrtag * invPt2;
815  U = dlz - pz * sininv / a;
816 
817  } else { // neutral
818 
819  sininv = 0.0;
820  S = invPt2;
821  U = dlz - pz * a2 * invPt2;
822  }
823 
824  // d
825  m_d[i * 2 + 0][0] = a1 - 0.5 * a * r2d2;
826  m_d[i * 2 + 1][0] = U * pt;
827 
828  // D
829  m_D[i * 2 + 0][i * KFitConst::kNumber6 + 0] = dly;
830  m_D[i * 2 + 0][i * KFitConst::kNumber6 + 1] = -dlx;
831  m_D[i * 2 + 0][i * KFitConst::kNumber6 + 2] = 0.0;
832  m_D[i * 2 + 0][i * KFitConst::kNumber6 + 3] = py + a * dlx;
833  m_D[i * 2 + 0][i * KFitConst::kNumber6 + 4] = -px + a * dly;
834  m_D[i * 2 + 0][i * KFitConst::kNumber6 + 5] = 0.0;
835  m_D[i * 2 + 1][i * KFitConst::kNumber6 + 0] = -pz * pt * S * Rx + U * px * invPt;
836  m_D[i * 2 + 1][i * KFitConst::kNumber6 + 1] = -pz * pt * S * Ry + U * py * invPt;
837  m_D[i * 2 + 1][i * KFitConst::kNumber6 + 2] = a != 0 ? -sininv * pt / a : -a2 * invPt;
838  m_D[i * 2 + 1][i * KFitConst::kNumber6 + 3] = px * pz * pt * S;
839  m_D[i * 2 + 1][i * KFitConst::kNumber6 + 4] = py * pz * pt * S;
840  m_D[i * 2 + 1][i * KFitConst::kNumber6 + 5] = -pt;
841 
842  // E
843  m_E[i * 2 + 0][0] = -py - a * dlx;
844  m_E[i * 2 + 0][1] = px - a * dly;
845  m_E[i * 2 + 0][2] = 0.0;
846  m_E[i * 2 + 1][0] = -px * pz * pt * S;
847  m_E[i * 2 + 1][1] = -py * pz * pt * S;
848  m_E[i * 2 + 1][2] = pt;
849  }
850 
852 }
853 
854 
855 enum KFitError::ECode
857  if (m_FlagBeam) m_NDF = 2 * m_TrackCount;
858  else if (m_FlagTube) m_NDF = 2 * (m_TrackCount - 1) - 1;
859  else if (m_FlagKnownVertex) m_NDF = 2 * m_TrackCount;
860  else m_NDF = 2 * m_TrackCount - 3;
861 
863 }
864 
865 
866 enum KFitError::ECode
869 
870  if (m_iTrackTube != -1)
871  {
872  char buf[1024];
873  sprintf(buf, "%s:%s(): internal error; duplicated appendTube() call?", __FILE__, __func__);
874  B2FATAL(buf);
875  }
876 
877  m_Tracks.push_back(m_TubeTrack);
878  m_TrackCount = m_Tracks.size();
880 
882 }
883 
884 
885 enum KFitError::ECode
888 
889  if (m_iTrackTube == -1)
890  {
891  char buf[1024];
892  sprintf(buf, "%s:%s(): internal error; duplicated deleteTube() call?", __FILE__, __func__);
893  B2FATAL(buf);
894  }
895 
896  m_Tracks.pop_back();
897  m_TrackCount = m_Tracks.size();
898  m_iTrackTube = -1;
899 
901 }
902 
904 {
905  MakeMotherKFit kmm;
907  unsigned n = getTrackCount();
908  for (unsigned i = 0; i < n; ++i) {
910  getTrack(i).getCharge());
912  for (unsigned j = i + 1; j < n; ++j) {
913  kmm.setCorrelation(getCorrelation(i, j));
914  }
915  }
916  kmm.setVertex(getVertex());
918  m_ErrorCode = kmm.doMake();
920  return m_ErrorCode;
921  double chi2 = getCHIsq();
922  int ndf = getNDF();
923  double prob = TMath::Prob(chi2, ndf);
924  //
925  bool haschi2 = mother->hasExtraInfo("chiSquared");
926  if (haschi2) {
927  mother->setExtraInfo("chiSquared", chi2);
928  mother->setExtraInfo("ndf", ndf);
929  } else {
930  mother->addExtraInfo("chiSquared", chi2);
931  mother->addExtraInfo("ndf", ndf);
932  }
933 
934  mother->updateMomentum(
935  CLHEPToROOT::getLorentzVector(kmm.getMotherMomentum()),
936  CLHEPToROOT::getXYZVector(kmm.getMotherPosition()),
937  CLHEPToROOT::getTMatrixFSym(kmm.getMotherError()),
938  prob);
940  return m_ErrorCode;
941 }
DataType Z() const
access variable Z (= .at(2) without boundary check)
Definition: B2Vector3.h:435
DataType X() const
access variable X (= .at(0) without boundary check)
Definition: B2Vector3.h:431
DataType Y() const
access variable Y (= .at(1) without boundary check)
Definition: B2Vector3.h:433
static const double speedOfLight
[cm/ns]
Definition: Const.h:686
Class to store reconstructed particles.
Definition: Particle.h:75
int m_NecessaryTrackCount
Number needed tracks to perform fit.
Definition: KFitBase.h:303
double m_MagneticField
Magnetic field.
Definition: KFitBase.h:311
CLHEP::HepMatrix m_al_1
See J.Tanaka Ph.D (2001) p136 for definition.
Definition: KFitBase.h:259
CLHEP::HepMatrix m_V_Dt
See J.Tanaka Ph.D (2001) p138 for definition.
Definition: KFitBase.h:289
const CLHEP::HepSymMatrix getTrackError(const int id) const
Get an error matrix of the track.
Definition: KFitBase.cc:168
virtual double getCHIsq(void) const
Get a chi-square of the fit.
Definition: KFitBase.cc:121
const CLHEP::HepLorentzVector getTrackMomentum(const int id) const
Get a Lorentz vector of the track.
Definition: KFitBase.cc:154
CLHEP::HepMatrix m_lam
See J.Tanaka Ph.D (2001) p137 for definition.
Definition: KFitBase.h:276
enum KFitError::ECode doFit2(void)
Perform a fit (used in VertexFitKFit::doFit() and MassVertexFitKFit::doFit()).
Definition: KFitBase.cc:577
CLHEP::HepMatrix m_E
See J.Tanaka Ph.D (2001) p137 for definition.
Definition: KFitBase.h:279
const CLHEP::HepSymMatrix makeError1(const CLHEP::HepLorentzVector &p, const CLHEP::HepMatrix &e) const
Rebuild an error matrix from a Lorentz vector and an error matrix.
const HepPoint3D getTrackPosition(const int id) const
Get a position of the track.
Definition: KFitBase.cc:161
bool m_FlagOverIteration
Flag whether the iteration count exceeds the limit.
Definition: KFitBase.h:308
CLHEP::HepMatrix m_property
Container of charges and masses.
Definition: KFitBase.h:263
virtual double getTrackCHIsq(const int id) const
Get a chi-square of the track.
Definition: KFitBase.cc:135
enum KFitError::ECode m_ErrorCode
Error code.
Definition: KFitBase.h:243
CLHEP::HepMatrix m_V_al_1
See J.Tanaka Ph.D (2001) p138 for definition.
Definition: KFitBase.h:274
virtual int getNDF(void) const
Get an NDF of the fit.
Definition: KFitBase.cc:114
CLHEP::HepMatrix m_d
See J.Tanaka Ph.D (2001) p137 for definition.
Definition: KFitBase.h:268
CLHEP::HepMatrix m_lam0
See J.Tanaka Ph.D (2001) p138 for definition.
Definition: KFitBase.h:283
bool isFitted(void) const
Return false if fit is not performed yet or performed fit is failed; otherwise true.
Definition: KFitBase.cc:727
CLHEP::HepMatrix m_al_a
See J.Tanaka Ph.D (2001) p137 for definition.
Definition: KFitBase.h:261
CLHEP::HepMatrix m_D
See J.Tanaka Ph.D (2001) p137 for definition.
Definition: KFitBase.h:266
CLHEP::HepMatrix m_V_D
See J.Tanaka Ph.D (2001) p138 for definition.
Definition: KFitBase.h:271
bool isTrackIDInRange(const int id) const
Check if the id is in the range.
Definition: KFitBase.cc:738
CLHEP::HepMatrix m_v_a
See J.Tanaka Ph.D (2001) p137 for definition.
Definition: KFitBase.h:287
virtual const CLHEP::HepMatrix getCorrelation(const int id1, const int id2, const int flag=KFitConst::kAfterFit) const
Get a correlation matrix between two tracks.
Definition: KFitBase.cc:183
bool m_FlagCorrelation
Flag whether a correlation among tracks exists.
Definition: KFitBase.h:306
CLHEP::HepSymMatrix m_V_al_0
See J.Tanaka Ph.D (2001) p137 for definition.
Definition: KFitBase.h:255
CLHEP::HepMatrix m_V_E
See J.Tanaka Ph.D (2001) p138 for definition.
Definition: KFitBase.h:281
CLHEP::HepMatrix m_Cov_v_al_1
See J.Tanaka Ph.D (2001) p137 for definition.
Definition: KFitBase.h:291
const KFitTrack getTrack(const int id) const
Get a specified track object.
Definition: KFitBase.cc:175
virtual enum KFitError::ECode prepareCorrelation(void)
Build a grand correlation matrix from input-track properties.
Definition: KFitBase.cc:458
const CLHEP::HepMatrix makeError2(const CLHEP::HepLorentzVector &p, const CLHEP::HepMatrix &e) const
Rebuild an error matrix from a Lorentz vector and an error matrix.
Definition: KFitBase.cc:296
bool m_FlagFitted
Flag to indicate if the fit is performed and succeeded.
Definition: KFitBase.h:245
double m_CHIsq
chi-square of the fit.
Definition: KFitBase.h:297
int getTrackCount(void) const
Get the number of added tracks.
Definition: KFitBase.cc:107
int m_NDF
NDF of the fit.
Definition: KFitBase.h:295
std::vector< KFitTrack > m_Tracks
Container of input tracks.
Definition: KFitBase.h:249
CLHEP::HepMatrix m_v
See J.Tanaka Ph.D (2001) p137 for definition.
Definition: KFitBase.h:285
int m_TrackCount
Number of tracks.
Definition: KFitBase.h:301
CLHEP::HepMatrix m_al_0
See J.Tanaka Ph.D (2001) p136 for definition.
Definition: KFitBase.h:257
static void displayError(const char *file, const int line, const char *func, const enum ECode code)
Display a description of error and its location.
Definition: KFitError.h:72
ECode
ECode is a error code enumerate.
Definition: KFitError.h:34
@ kCannotGetARCSIN
Cannot get arcsin (bad track property or internal error)
Definition: KFitError.h:60
@ kCannotGetMatrixInverse
Cannot calculate matrix inverse (bad track property or internal error)
Definition: KFitError.h:58
@ kOutOfRange
Specified track-id out of range.
Definition: KFitError.h:42
@ kDivisionByZero
Division by zero (bad track property or internal error)
Definition: KFitError.h:56
@ kBadInitialCHIsq
Bad initial chi-square (internal error)
Definition: KFitError.h:53
@ kBadTrackSize
Track count too small to perform fit.
Definition: KFitError.h:47
KFitTrack is a container of the track information (Lorentz vector, position, and error matrix),...
Definition: KFitTrack.h:38
MakeMotherKFit is a class to build mother particle from kinematically fitted daughters.
enum KFitError::ECode setVertex(const HepPoint3D &v)
Set a vertex position of the mother particle.
enum KFitError::ECode addTrack(const KFitTrack &kp)
Add a track to the make-mother object.
enum KFitError::ECode doMake(void)
Perform a reconstruction of mother particle.
const CLHEP::HepSymMatrix getMotherError(void) const
Get an error matrix of the mother particle.
enum KFitError::ECode setCorrelation(const CLHEP::HepMatrix &e)
Set a correlation matrix.
const HepPoint3D getMotherPosition(void) const
Get a position of the mother particle.
enum KFitError::ECode setVertexError(const CLHEP::HepSymMatrix &e)
Set a vertex error matrix of the mother particle.
enum KFitError::ECode setTrackVertexError(const CLHEP::HepMatrix &e)
Set a vertex error matrix of the child particle in the addTrack'ed order.
const CLHEP::HepLorentzVector getMotherMomentum(void) const
Get a Lorentz vector of the mother particle.
enum KFitError::ECode setMagneticField(const double mf)
Change a magnetic field from the default value KFitConst::kDefaultMagneticField.
enum KFitError::ECode setIpTubeProfile(const CLHEP::HepLorentzVector &p, const HepPoint3D &x, const CLHEP::HepSymMatrix &e, const double q)
Set a virtual IP-tube track for the vertex constraint fit.
enum KFitError::ECode doFit5(void)
Perform a fixed-vertex-position fit mainly for slow pion.
enum KFitError::ECode setKnownVertex(const bool flag=true)
Tell the object to perform a fit with vertex position fixed.
enum KFitError::ECode prepareInputMatrix(void) override
Build grand matrices for minimum search from input-track properties.
enum KFitError::ECode doFit4(void)
Perform a IP-ellipsoid and vertex-constraint fit.
enum KFitError::ECode calculateNDF(void) override
Calculate an NDF of the fit.
enum KFitError::ECode setInitialVertex(const HepPoint3D &v)
Set an initial vertex point for the vertex-vertex constraint fit.
double getCHIsq(void) const override
Get a chi-square of the fit.
KFitTrack m_TubeTrack
Entity of the virtual IP-tube track.
enum KFitError::ECode deleteTube(void)
Delete the virtual tube track to m_Tracks just after the internal minimization call.
bool m_FlagTube
Flag if to perform IP-tube constraint fit.
bool m_FlagKnownVertex
Flag controlled by setKnownVertex().
enum KFitError::ECode updateMother(Particle *mother)
Update mother particle.
const CLHEP::HepSymMatrix getVertexError(void) const
Get a fitted vertex error matrix.
enum KFitError::ECode prepareInputSubMatrix(void) override
Build sub-matrices for minimum search from input-track properties.
CLHEP::HepSymMatrix m_BeamError
Error matrix modeling the IP ellipsoid.
enum KFitError::ECode doFit(void)
Perform a vertex-constraint fit.
double getTrackPartCHIsq(void) const
Get a sum of the chi-square associated to the input tracks.
enum KFitError::ECode doFit3(void)
Perform a standard vertex-constraint fit including IP-tube constraint.
~VertexFitKFit(void)
Destruct the object.
enum KFitError::ECode makeCoreMatrix(void) override
Build matrices using the kinematical constraint.
HepPoint3D m_AfterVertex
Vertex position after the fit.
std::vector< CLHEP::HepMatrix > m_AfterTrackVertexError
Array of vertex error matrices after the fit.
double m_EachCHIsq[KFitConst::kMaxTrackCount2]
Container of chi-square's of the input tracks.
double getTrackCHIsq(const int id) const override
Get a chi-square of the track.
enum KFitError::ECode setCorrelationMode(const bool m)
Tell the object to perform a fit with track correlations.
int getTrackPartNDF(void) const
Get an NDF relevant to the getTrackPartCHIsq().
bool m_FlagBeam
Flag if to perform IP-ellipsoid constraint fit.
int m_iTrackTube
ID of the virtual tube track in the m_Tracks.
enum KFitError::ECode setIpProfile(const HepPoint3D &ip, const CLHEP::HepSymMatrix &ipe)
Set an IP-ellipsoid shape for the vertex constraint fit.
const HepPoint3D getVertex(const int flag=KFitConst::kAfterFit) const
Get a vertex position.
double m_CHIsqVertex
chi-square of the fit excluding IP-constraint part.
double getCHIsqVertex(void) const
Get a chi-square of the fit excluding IP-constraint part.
enum KFitError::ECode appendTube(void)
Add the virtual tube track to m_Tracks just before the internal minimization call.
CLHEP::HepSymMatrix m_AfterVertexError
Vertex error matrix after the fit.
bool m_CorrelationMode
Flag controlled by setCorrelationMode().
enum KFitError::ECode prepareOutputMatrix(void) override
Build an output error matrix.
const CLHEP::HepMatrix getTrackVertexError(const int id) const
Get a vertex error matrix of the track.
HepPoint3D m_BeforeVertex
Vertex position before the fit.
double sqrt(double a)
sqrt for double
Definition: beamHelpers.h:28
Abstract base class for different kinds of events.
static constexpr double kInitialCHIsq
Initial chi-square value (internal use)
Definition: KFitConst.h:48
static const int kMaxTrackCount
Maximum track size.
Definition: KFitConst.h:40
static const int kMaxTrackCount2
Maximum track size (internal use)
Definition: KFitConst.h:42
static const int kNumber6
Constant 6 to check matrix size (internal use)
Definition: KFitConst.h:30
static const int kMaxIterationCount
Maximum iteration step (internal use)
Definition: KFitConst.h:45
static const int kAfterFit
Input parameter to specify after-fit when setting/getting a track attribute.
Definition: KFitConst.h:37
static const int kBeforeFit
Input parameter to specify before-fit when setting/getting a track attribute.
Definition: KFitConst.h:35
static const int kNumber7
Constant 7 to check matrix size (internal use)
Definition: KFitConst.h:32