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JMuonPrefit.hh
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1#ifndef __JRECONSTRUCTION__JMUONPREFIT__
2#define __JRECONSTRUCTION__JMUONPREFIT__
3
4#include <iostream>
5#include <iomanip>
6#include <vector>
7#include <algorithm>
8
12
13#include "JTrigger/JHitR1.hh"
14#include "JTrigger/JBuildL0.hh"
15#include "JTrigger/JBuildL2.hh"
17#include "JTrigger/JMatch1D.hh"
18#include "JTrigger/JMatch3B.hh"
19
20#include "JFit/JLine1Z.hh"
22#include "JFit/JMatrixNZ.hh"
23#include "JFit/JVectorNZ.hh"
24#include "JFit/JFitToolkit.hh"
25
29
30#include "JMath/JConstants.hh"
32
33#include "JLang/JPredicate.hh"
34
37
40
41#include "Jeep/JMessage.hh"
42
43
44/**
45 * \author mdejong, gmaggi, azegarelli
46 */
47
48namespace JRECONSTRUCTION {}
49namespace JPP { using namespace JRECONSTRUCTION; }
50
51namespace JRECONSTRUCTION {
52
54 using JFIT::JLine1Z;
55 using JFIT::JEstimator;
56 using JFIT::JMatrixNZ;
57 using JFIT::JVectorNZ;
61
62
63 /**
64 * Wrapper class to make pre-fit of muon trajectory.
65 *
66 * The JMuonPrefit fit is used to generate start values for subsequent fits (usually JMuonSimplex and JMuonGandalf).\n
67 * To this end, a scan of directions is made and the time and transverse positions of the track are fitted for each direction (JFIT::JEstimator<JLine1Z>).\n
68 * The directions are spaced by the parameters JMuonPrefitParameters_t::gridAngle_deg.\n
69 * This angle corresponds to the envisaged angular accuracy of the result.\n
70 * The probability that one of the results is less than this angle away from the correct value,
71 * multiple start values should be considered (JMuonPrefitParameters_t::numberOfPrefits).\n
72 * Note that the CPU time scales with the inverse of the square of this angle.\n
73 * The chi-squared is based on the time residuals.\n
74 */
75 struct JMuonPrefit :
77 public JEstimator<JLine1Z>
78 {
82
83 using JEstimator_t::operator();
84
85 /**
86 * Constructor
87 *
88 * \param parameters parameters
89 * \param router module router
90 * \param debug debug
91 */
93 const JModuleRouter& router,
94 const int debug = 0) :
95 JMuonPrefitParameters_t(parameters),
97 omega (parameters.gridAngle_deg * JMATH::PI/180.0),
98 debug (debug)
99 {
100 configure();
101 }
102
103
104 /**
105 * Constructor
106 *
107 * \param router module router
108 * \param parameters parameters
109 * \param omega directions
110 * \param debug debug
111 */
113 const JModuleRouter& router,
114 const JOmega3D& omega,
115 const int debug = 0) :
116 JMuonPrefitParameters_t(parameters),
117 router(router),
118 omega (omega),
119 debug (debug)
120 {
121 configure();
122 }
123
124
125 /**
126 * Fit function.
127 *
128 * \param event event
129 * \return fit results
130 */
132 {
133 using namespace std;
134 using namespace JPP;
135
136 const JBuildL0<hit_type> buildL0;
138
139 buffer_type dataL0;
140 buffer_type dataL1;
141
142 buildL2(event, router, !useL0, back_inserter(dataL1));
143
144 // 3D cluster of unique optical modules
145
147
148 sort(dataL1.begin(), dataL1.end(), hit_type::compare);
149
150 buffer_type::iterator __end = dataL1.end();
151
152 __end = unique(dataL1.begin(), __end, equal_to<JDAQModuleIdentifier>());
153
154 __end = clusterizeWeight(dataL1.begin(), __end, match3B);
155
156 dataL1.erase(__end, dataL1.end());
157
158
159 if (useL0) {
160
161 buildL0(event, router, true, back_inserter(dataL0));
162
163 __end = dataL0.end();
164
165 for (buffer_type::iterator i = dataL0.begin(); i != __end; ) {
166
167 if (match3B.count(*i, dataL1.begin(), dataL1.end()) != 0)
168 ++i;
169 else
170 swap(*i, *--__end);
171 }
172
173 dataL0.erase(__end, dataL0.end());
174 }
175
176 return (*this)(dataL0, dataL1);
177 }
178
179
180 /**
181 * Fit function.
182 *
183 * \param dataL0 L0 hit data
184 * \param dataL1 L1 hit data
185 * \return fit results
186 */
188 const buffer_type& dataL1)
189 {
190 using namespace std;
191 using namespace JPP;
192
193 const double STANDARD_DEVIATIONS = 3.0; // [unit]
194 const double HIT_OFF = 1.0e3 * sigma_ns * sigma_ns; // [ns^2]
195
197
198 data.reserve(dataL0.size() +
199 dataL1.size());
200
201 JEvt out;
202
203 for (JOmega3D_t::const_iterator dir = omega.begin(); dir != omega.end(); ++dir) {
204
205 const JRotation3D R(*dir);
206
207
208 buffer_type::iterator __end = copy(dataL1.begin(), dataL1.end(), data.begin());
209
210 for (buffer_type::iterator i = data.begin(); i != __end; ++i) {
211 i->rotate(R);
212 }
213
214
215 // reduce data
216
217 if (distance(data.begin(), __end) > NMaxHits) {
218
219 buffer_type::iterator __p = data.begin();
220
221 advance(__p, NMaxHits);
222
223 partial_sort(data.begin(), __p, __end, cmz);
224
225 __end = __p;
226 }
227
228
229 // 1D cluster
230
231 __end = clusterizeWeight(data.begin(), __end, match1D);
232
233 if (useL0) {
234
235 buffer_type::iterator p = __end; // begin L0 data
236 buffer_type::iterator q = copy(dataL0.begin(), dataL0.end(), p); // end L0 data
237
238 for (buffer_type::iterator i = p; i != q; ++i) {
239
240 if (find_if(data.begin(), __end, make_predicate(&hit_type::getModuleID, i->getModuleID())) == __end) {
241
242 i->rotate(R);
243
244 if (match1D.count(*i, data.begin(), __end) != 0) {
245 *p = *i;
246 ++p;
247 }
248 }
249 }
250
251 __end = clusterize(__end, p, match1D);
252 }
253
254
255 if (distance(data.begin(), __end) <= NUMBER_OF_PARAMETERS) {
256 continue;
257 }
258
259
260 // 1D fit
261
262 JLine1Z tz;
263 double chi2 = numeric_limits<double>::max();
264 int NDF = distance(data.begin(), __end) - NUMBER_OF_PARAMETERS;
265 int N = getCount(data.begin(), __end);
266
267
268 if (distance(data.begin(), __end) <= factoryLimit) {
269
270 int number_of_outliers = numberOfOutliers;
271
272 if (number_of_outliers > NDF - 1) {
273 number_of_outliers = NDF - 1;
274 }
275
276 double ymin = numeric_limits<double>::max();
277
278 buffer_type::iterator __end1 = __end;
279
280 for (int n = 0; n <= number_of_outliers; ++n, --__end1) {
281
282 sort(data.begin(), __end, hit_type::compare);
283
284 do {
285 /*
286 if (getNumberOfStrings(router, data.begin(), __end1) < 2) {
287 continue;
288 }
289 */
290 try {
291
292 (*this)(data.begin(), __end1);
293
294 V.set(*this, data.begin(), __end1, gridAngle_deg, sigma_ns);
295 Y.set(*this, data.begin(), __end1);
296
297 V.invert();
298
299 double y = getChi2(Y, V);
300
301 if (y <= -(STANDARD_DEVIATIONS * STANDARD_DEVIATIONS)) {
302
303 WARNING(endl << "chi2(1) " << y << endl);
304
305 } else {
306
307 if (y < 0.0) {
308 y = 0.0;
309 }
310
311 if (y < ymin) {
312 ymin = y;
313 tz = *this;
314 chi2 = ymin;
315 NDF = distance(data.begin(), __end1) - NUMBER_OF_PARAMETERS;
316 N = getCount(data.begin(), __end1);
317 }
318 }
319 }
320 catch(const exception& error) {}
321
322 } while (next_permutation(data.begin(), __end1, __end, hit_type::compare));
323
324 ymin -= STANDARD_DEVIATIONS * STANDARD_DEVIATIONS;
325 }
326
327 } else {
328
329 const int number_of_outliers = NDF - 1;
330
331 try {
332
333 (*this)(data.begin(), __end);
334
335 V.set(*this, data.begin(), __end, gridAngle_deg, sigma_ns);
336 Y.set(*this, data.begin(), __end);
337
338 V.invert();
339
340 for (int n = 0; n <= number_of_outliers; ++n) {
341
342 double ymax = 0.0;
343 int k = -1;
344
345 for (size_t i = 0; i != Y.size(); ++i) {
346
347 double y = getChi2(Y, V, i);
348
349 if (y > ymax) {
350 ymax = y;
351 k = i;
352 }
353 }
354
355 if (ymax < STANDARD_DEVIATIONS * STANDARD_DEVIATIONS) {
356 break;
357 }
358
359 try {
360
361 V.update(k, +HIT_OFF);
362
363 this->update(data.begin(), __end, V);
364
365 Y.set(*this, data.begin(), __end);
366
367 tz = *this;
368 NDF -= 1;
369 N -= getCount(data[k]);
370 }
371 catch(const exception& error) {
372
373 V.update(k, -HIT_OFF);
374
375 static_cast<JLine1Z&>(*this) = tz;
376
377 Y.set(*this, data.begin(), __end);
378
379 break;
380 }
381 }
382
383 chi2 = getChi2(Y, V);
384 tz = *this;
385 }
386 catch(const exception& error) {}
387 }
388
389 if (chi2 != numeric_limits<double>::max()) {
390
391 tz.rotate_back(R);
392
393 out.push_back(getFit(JHistory(JMUONPREFIT), tz, *dir, getQuality(chi2, N, NDF), NDF));
394 }
395 }
396
397
398 if (numberOfPrefits > 0) {
399
400 JEvt::iterator __end = out.end();
401
402 if (Qmin > 0) { // sort distinct maxima
403
404 __end = out.begin(); // output
405
406 for (JEvt::iterator p1 = out.begin(); p1 != out.end() && (size_t) distance(out.begin(), __end) < numberOfPrefits; ) {
407
408 JEvt::iterator p2 = p1;
409
410 for (JEvt::iterator i = p1; i != out.end(); ++i) {
411 if (i->getQ() > p2->getQ()) {
412 p2 = i;
413 }
414 }
415
416 swap(*p2, *p1);
417
418 p2 = p1++;
419
420 sort(p1, out.end(), JPointing(*p2));
421
422 for (double Q = p2->getQ(); p1 != out.end() && (p1->getQ() >= p2->getQ() - Qmin || p1->getQ() <= Q); Q = (p1++)->getQ()) {}
423
424 swap(*(__end++), *p2);
425 }
426
427 } else if (numberOfPrefits < out.size()) { // sort subset
428
429 advance(__end = out.begin(), numberOfPrefits);
430
431 partial_sort(out.begin(), __end, out.end(), qualitySorter);
432
433 } else { // sort all
434
435 sort(out.begin(), __end, qualitySorter);
436 }
437
438 // add downward pointing solutions if available but not yet sufficient
439
440 int nz = numberOfDZMax - count_if(out.begin(), __end, make_predicate(&JFit::getDZ, DZMax, JComparison::le()));
441
442 if (nz > 0) {
443
444 JEvt::iterator __p = __end;
445 JEvt::iterator __q = __end = partition(__p, out.end(), make_predicate(&JFit::getDZ, DZMax, JComparison::le()));
446
447 if (nz < distance(__p, __q)) {
448
449 advance(__end = __p, nz);
450
451 partial_sort(__p, __end, __q, qualitySorter);
452
453 } else {
454
455 sort(__p, __end, qualitySorter);
456 }
457 }
458
459 out.erase(__end, out.end());
460
461 } else {
462
463 sort(out.begin(), out.end(), qualitySorter);
464 }
465
466 return out;
467 }
468
469
470 /**
471 * Auxiliary data structure for sorting of hits.
472 */
473 static const struct cmz {
474 /**
475 * Sort hits according times corrected for position along z-axis.
476 *
477 * \param first first hit
478 * \param second second hit
479 * \return true if first hit earlier than second hit; else false
480 */
481 template<class T>
482 inline bool operator()(const T& first, const T& second) const
483 {
484 using namespace JPP;
485
486 return (first .getT() * getSpeedOfLight() - first .getZ() <
487 second.getT() * getSpeedOfLight() - second.getZ());
488 }
490
491
494 int debug;
495
496 private:
497 /**
498 * Configure internal buffer(s).
499 */
501 {
502 using namespace JPP;
503
506 }
507
511 };
512}
513
514#endif
Algorithms for hit clustering and sorting.
TPaveText * p1
Auxiliary methods to evaluate Poisson probabilities and chi2.
Reduced data structure for L1 hit.
Linear fit of JFIT::JLine1Z.
Match operator for Cherenkov light from muon with given direction.
Match operator for Cherenkov light from muon in any direction.
Mathematical constants.
General purpose messaging.
#define WARNING(A)
Definition JMessage.hh:65
Direct access to module in detector data structure.
std::vector< T >::difference_type distance(typename std::vector< T >::const_iterator first, typename PhysicsEvent::const_iterator< T > second)
Specialisation of STL distance.
Router for direct addressing of module data in detector data structure.
Template definition of linear fit.
Definition JEstimator.hh:25
Data structure for set of track fit results.
double getDZ() const
Get Z-slope.
Data structure for fit of straight line paralel to z-axis.
Definition JLine1Z.hh:29
Determination of the co-variance matrix of hits for a track along z-axis (JFIT::JLine1Z).
Definition JMatrixNZ.hh:30
void set(const JVector3D &pos, T __begin, T __end, const double alpha, const double sigma)
Set co-variance matrix.
Definition JMatrixNZ.hh:85
Determination of the time residual vector of hits for a track along z-axis (JFIT::JLine1Z).
Definition JVectorNZ.hh:23
void set(const JLine1Z &track, T __begin, T __end)
Set time residual vector.
Definition JVectorNZ.hh:68
Direction set covering (part of) solid angle.
Definition JOmega3D.hh:68
JPosition3D & rotate_back(const JRotation3D &R)
Rotate back.
const JClass_t & getReference() const
Get reference to object.
Definition JReference.hh:38
Auxiliary class to compare fit results with respect to a reference direction (e.g....
Template L0 hit builder.
Definition JBuildL0.hh:38
Template L2 builder.
Definition JBuildL2.hh:49
Reduced data structure for L1 hit.
Definition JHitR1.hh:35
1D match criterion.
Definition JMatch1D.hh:33
3D match criterion with road width.
Definition JMatch3B.hh:36
int getModuleID() const
Get module identifier.
static const int JMUONPREFIT
void copy(const Head &from, JHead &to)
Copy header from from to to.
Definition JHead.cc:162
int getNumberOfPMTs(const JModule &module)
Get number of PMTs.
double getChi2(const double P)
Get chi2 corresponding to given probability.
size_t getCount(const array_type< T > &buffer, const JCompare_t &compare)
Count number of unique values.
Auxiliary classes and methods for mathematical operations.
Definition JEigen3D.hh:88
const double getSpeedOfLight()
Get speed of light.
This name space includes all other name spaces (except KM3NETDAQ, KM3NET and ANTARES).
Model fits to data.
double getQuality(const double chi2, const int N, const int NDF)
Get quality of fit.
JFIT::JHistory JHistory
Definition JHistory.hh:354
bool qualitySorter(const JFit &first, const JFit &second)
Comparison of fit results.
JFit getFit(const JHistory &history, const JTrack3D &track, const double Q, const int NDF, const double energy=0.0, const int status=SINGLE_STAGE)
Get fit.
counter_type advance(counter_type &counter, const counter_type value, const counter_type limit=std::numeric_limits< counter_type >::max())
Advance counter.
const int n
Definition JPolint.hh:786
bool next_permutation(T __begin, T __last, T __end, JComparator_t compare, std::bidirectional_iterator_tag)
Implementation of method next_permutation for bidirectional iterators.
static const struct JTRIGGER::clusterize clusterize
static const struct JTRIGGER::clusterizeWeight clusterizeWeight
static const JModuleCounter getNumberOfModules
Function object to count unique modules.
void update(const size_t k, const double value)
Update inverted matrix at given diagonal element.
Definition JMatrixNS.hh:446
void invert()
Invert matrix according LDU decomposition.
Definition JMatrixNS.hh:75
double ctMin
minimal cosine space angle between PMT axes
double DZMax
maximal slope for downward pointing solutions
int factoryLimit
factory limit for combinatorics
double TMaxLocal_ns
time window for local coincidences [ns]
double gridAngle_deg
grid angle for directions [deg]
size_t numberOfDZMax
additional number of downward pointing solutions
Auxiliary data structure for sorting of hits.
bool operator()(const T &first, const T &second) const
Sort hits according times corrected for position along z-axis.
Wrapper class to make pre-fit of muon trajectory.
static const struct JRECONSTRUCTION::JMuonPrefit::cmz cmz
JEvt operator()(const KM3NETDAQ::JDAQEvent &event)
Fit function.
JEvt operator()(const buffer_type &dataL0, const buffer_type &dataL1)
Fit function.
JMuonPrefit(const JMuonPrefitParameters_t &parameters, const JModuleRouter &router, const JOmega3D &omega, const int debug=0)
Constructor.
JEstimator< JLine1Z > JEstimator_t
JMuonPrefit(const JMuonPrefitParameters_t &parameters, const JModuleRouter &router, const int debug=0)
Constructor.
std::vector< hit_type > buffer_type
const JModuleRouter & router
void configure()
Configure internal buffer(s).
Auxiliary data structure for sorting of hits.
Definition JHitR1.hh:203
Data structure for L2 parameters.