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LorentzVector.h
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1 // -*- C++ -*-
2 // CLASSDOC OFF
3 // $Id:$
4 // ---------------------------------------------------------------------------
5 // CLASSDOC ON
6 //
7 // This file is a part of the CLHEP - a Class Library for High Energy Physics.
8 //
9 // HepLorentzVector is a Lorentz vector consisting of Hep3Vector and
10 // double components. Lorentz transformations (rotations and boosts)
11 // of these vectors are perfomed by multiplying with objects of
12 // the HepLorenzRotation class.
13 //
14 // .SS See Also
15 // ThreeVector.h, Rotation.h, LorentzRotation.h
16 //
17 // .SS Authors
18 // Leif Lonnblad and Anders Nilsson. Modified by Evgueni Tcherniaev, Mark Fischler
19 //
20 
21 #ifndef HEP_LORENTZVECTOR_H
22 #define HEP_LORENTZVECTOR_H
23 
24 #ifdef GNUPRAGMA
25 #pragma interface
26 #endif
27 
28 #include <iostream>
30 
31 namespace CLHEP {
32 
33 // Declarations of classes and global methods
34 class HepLorentzVector;
35 class HepLorentzRotation;
36 class HepRotation;
37 class HepAxisAngle;
38 class HepEulerAngles;
39 class Tcomponent;
40 HepLorentzVector rotationXOf( const HepLorentzVector & vec, double delta );
41 HepLorentzVector rotationYOf( const HepLorentzVector & vec, double delta );
42 HepLorentzVector rotationZOf( const HepLorentzVector & vec, double delta );
43 HepLorentzVector rotationOf
44  ( const HepLorentzVector & vec, const Hep3Vector & axis, double delta );
45 HepLorentzVector rotationOf
46  ( const HepLorentzVector & vec, const HepAxisAngle & ax );
47 HepLorentzVector rotationOf
48  ( const HepLorentzVector & vec, const HepEulerAngles & e );
49 HepLorentzVector rotationOf
50  ( const HepLorentzVector & vec, double phi,
51  double theta,
52  double psi );
53 inline
54 HepLorentzVector boostXOf( const HepLorentzVector & vec, double beta );
55 inline
56 HepLorentzVector boostYOf( const HepLorentzVector & vec, double beta );
57 inline
58 HepLorentzVector boostZOf( const HepLorentzVector & vec, double beta );
59 inline HepLorentzVector boostOf
60  ( const HepLorentzVector & vec, const Hep3Vector & betaVector );
61 inline HepLorentzVector boostOf
62  ( const HepLorentzVector & vec, const Hep3Vector & axis, double beta );
63 
65 
66 
73 
74 public:
75 
76  enum { X=0, Y=1, Z=2, T=3, NUM_COORDINATES=4, SIZE=NUM_COORDINATES };
77  // Safe indexing of the coordinates when using with matrices, arrays, etc.
78  // (BaBar)
79 
80  inline HepLorentzVector(double x, double y,
81  double z, double t);
82  // Constructor giving the components x, y, z, t.
83 
84  inline HepLorentzVector(double x, double y, double z);
85  // Constructor giving the components x, y, z with t-component set to 0.0.
86 
87  explicit HepLorentzVector(double t);
88  // Constructor giving the t-component with x, y and z set to 0.0.
89 
90  inline HepLorentzVector();
91  // Default constructor with x, y, z and t set to 0.0.
92 
93  inline HepLorentzVector(const Hep3Vector & p, double e);
94  inline HepLorentzVector(double e, const Hep3Vector & p);
95  // Constructor giving a 3-Vector and a time component.
96 
97  inline HepLorentzVector(const HepLorentzVector &);
98  // Copy constructor.
99 
100  inline ~HepLorentzVector();
101  // The destructor.
102 
103  inline operator const Hep3Vector & () const;
104  inline operator Hep3Vector & ();
105  // Conversion (cast) to Hep3Vector.
106 
107  inline double x() const;
108  inline double y() const;
109  inline double z() const;
110  inline double t() const;
111  // Get position and time.
112 
113  inline void setX(double);
114  inline void setY(double);
115  inline void setZ(double);
116  inline void setT(double);
117  // Set position and time.
118 
119  inline double px() const;
120  inline double py() const;
121  inline double pz() const;
122  inline double e() const;
123  // Get momentum and energy.
124 
125  inline void setPx(double);
126  inline void setPy(double);
127  inline void setPz(double);
128  inline void setE(double);
129  // Set momentum and energy.
130 
131  inline Hep3Vector vect() const;
132  // Get spatial component.
133 
134  inline void setVect(const Hep3Vector &);
135  // Set spatial component.
136 
137  inline double theta() const;
138  inline double cosTheta() const;
139  inline double phi() const;
140  inline double rho() const;
141  // Get spatial vector components in spherical coordinate system.
142 
143  inline void setTheta(double);
144  inline void setPhi(double);
145  inline void setRho(double);
146  // Set spatial vector components in spherical coordinate system.
147 
148  double operator () (int) const;
149  inline double operator [] (int) const;
150  // Get components by index.
151 
152  double & operator () (int);
153  inline double & operator [] (int);
154  // Set components by index.
155 
157  // Assignment.
158 
159  inline HepLorentzVector operator + (const HepLorentzVector &) const;
161  // Additions.
162 
163  inline HepLorentzVector operator - (const HepLorentzVector &) const;
165  // Subtractions.
166 
167  inline HepLorentzVector operator - () const;
168  // Unary minus.
169 
170  inline HepLorentzVector & operator *= (double);
171  HepLorentzVector & operator /= (double);
172  // Scaling with real numbers.
173 
174  inline bool operator == (const HepLorentzVector &) const;
175  inline bool operator != (const HepLorentzVector &) const;
176  // Comparisons.
177 
178  inline double perp2() const;
179  // Transverse component of the spatial vector squared.
180 
181  inline double perp() const;
182  // Transverse component of the spatial vector (R in cylindrical system).
183 
184  inline void setPerp(double);
185  // Set the transverse component of the spatial vector.
186 
187  inline double perp2(const Hep3Vector &) const;
188  // Transverse component of the spatial vector w.r.t. given axis squared.
189 
190  inline double perp(const Hep3Vector &) const;
191  // Transverse component of the spatial vector w.r.t. given axis.
192 
193  inline double angle(const Hep3Vector &) const;
194  // Angle wrt. another vector.
195 
196  inline double mag2() const;
197  // Dot product of 4-vector with itself.
198  // By default the metric is TimePositive, and mag2() is the same as m2().
199 
200  inline double m2() const;
201  // Invariant mass squared.
202 
203  inline double mag() const;
204  inline double m() const;
205  // Invariant mass. If m2() is negative then -sqrt(-m2()) is returned.
206 
207  inline double mt2() const;
208  // Transverse mass squared.
209 
210  inline double mt() const;
211  // Transverse mass.
212 
213  inline double et2() const;
214  // Transverse energy squared.
215 
216  inline double et() const;
217  // Transverse energy.
218 
219  inline double dot(const HepLorentzVector &) const;
220  inline double operator * (const HepLorentzVector &) const;
221  // Scalar product.
222 
223  inline double invariantMass2( const HepLorentzVector & w ) const;
224  // Invariant mass squared of pair of 4-vectors
225 
226  double invariantMass ( const HepLorentzVector & w ) const;
227  // Invariant mass of pair of 4-vectors
228 
229  inline void setVectMag(const Hep3Vector & spatial, double magnitude);
230  inline void setVectM(const Hep3Vector & spatial, double mass);
231  // Copy spatial coordinates, and set energy = sqrt(mass^2 + spatial^2)
232 
233  inline double plus() const;
234  inline double minus() const;
235  // Returns the positive/negative light-cone component t +/- z.
236 
237  Hep3Vector boostVector() const;
238  // Boost needed from rest4Vector in rest frame to form this 4-vector
239  // Returns the spatial components divided by the time component.
240 
241  HepLorentzVector & boost(double, double, double);
242  inline HepLorentzVector & boost(const Hep3Vector &);
243  // Lorentz boost.
244 
245  HepLorentzVector & boostX( double beta );
246  HepLorentzVector & boostY( double beta );
247  HepLorentzVector & boostZ( double beta );
248  // Boost along an axis, by magnitue beta (fraction of speed of light)
249 
250  double rapidity() const;
251  // Returns the rapidity, i.e. 0.5*ln((E+pz)/(E-pz))
252 
253  inline double pseudoRapidity() const;
254  // Returns the pseudo-rapidity, i.e. -ln(tan(theta/2))
255 
256  inline bool isTimelike() const;
257  // Test if the 4-vector is timelike
258 
259  inline bool isSpacelike() const;
260  // Test if the 4-vector is spacelike
261 
262  inline bool isLightlike(double epsilon=tolerance) const;
263  // Test for lightlike is within tolerance epsilon
264 
265  HepLorentzVector & rotateX(double);
266  // Rotate the spatial component around the x-axis.
267 
268  HepLorentzVector & rotateY(double);
269  // Rotate the spatial component around the y-axis.
270 
271  HepLorentzVector & rotateZ(double);
272  // Rotate the spatial component around the z-axis.
273 
275  // Rotates the reference frame from Uz to newUz (unit vector).
276 
277  HepLorentzVector & rotate(double, const Hep3Vector &);
278  // Rotate the spatial component around specified axis.
279 
280  inline HepLorentzVector & operator *= (const HepRotation &);
281  inline HepLorentzVector & transform(const HepRotation &);
282  // Transformation with HepRotation.
283 
286  // Transformation with HepLorenzRotation.
287 
288 // = = = = = = = = = = = = = = = = = = = = = = = =
289 //
290 // Esoteric properties and operations on 4-vectors:
291 //
292 // 0 - Flexible metric convention and axial unit 4-vectors
293 // 1 - Construct and set 4-vectors in various ways
294 // 2 - Synonyms for accessing coordinates and properties
295 // 2a - Setting space coordinates in different ways
296 // 3 - Comparisions (dictionary, near-ness, and geometric)
297 // 4 - Intrinsic properties
298 // 4a - Releativistic kinematic properties
299 // 4b - Methods combining two 4-vectors
300 // 5 - Properties releative to z axis and to arbitrary directions
301 // 7 - Rotations and Boosts
302 //
303 // = = = = = = = = = = = = = = = = = = = = = = = =
304 
305 // 0 - Flexible metric convention
306 
307  static ZMpvMetric_t setMetric( ZMpvMetric_t met );
308  static ZMpvMetric_t getMetric();
309 
310 // 1 - Construct and set 4-vectors in various ways
311 
312  inline void set (double x, double y, double z, double t);
313  inline void set (double x, double y, double z, Tcomponent t);
314  inline HepLorentzVector(double x, double y, double z, Tcomponent t);
315  // Form 4-vector by supplying cartesian coordinate components
316 
317  inline void set (Tcomponent t, double x, double y, double z);
318  inline HepLorentzVector(Tcomponent t, double x, double y, double z);
319  // Deprecated because the 4-doubles form uses x,y,z,t, not t,x,y,z.
320 
321  inline void set ( double t );
322 
323  inline void set ( Tcomponent t );
324  inline explicit HepLorentzVector( Tcomponent t );
325  // Form 4-vector with zero space components, by supplying t component
326 
327  inline void set ( const Hep3Vector & v );
328  inline explicit HepLorentzVector( const Hep3Vector & v );
329  // Form 4-vector with zero time component, by supplying space 3-vector
330 
331  inline HepLorentzVector & operator=( const Hep3Vector & v );
332  // Form 4-vector with zero time component, equal to space 3-vector
333 
334  inline void set ( const Hep3Vector & v, double t );
335  inline void set ( double t, const Hep3Vector & v );
336  // Set using specified space vector and time component
337 
338 // 2 - Synonyms for accessing coordinates and properties
339 
340  inline double getX() const;
341  inline double getY() const;
342  inline double getZ() const;
343  inline double getT() const;
344  // Get position and time.
345 
346  inline Hep3Vector v() const;
347  inline Hep3Vector getV() const;
348  // Get spatial component. Same as vect.
349 
350  inline void setV(const Hep3Vector &);
351  // Set spatial component. Same as setVect.
352 
353 // 2a - Setting space coordinates in different ways
354 
355  inline void setV( double x, double y, double z );
356 
357  inline void setRThetaPhi( double r, double theta, double phi);
358  inline void setREtaPhi( double r, double eta, double phi);
359  inline void setRhoPhiZ( double rho, double phi, double z );
360 
361 // 3 - Comparisions (dictionary, near-ness, and geometric)
362 
363  int compare( const HepLorentzVector & w ) const;
364 
365  bool operator >( const HepLorentzVector & w ) const;
366  bool operator <( const HepLorentzVector & w ) const;
367  bool operator>=( const HepLorentzVector & w ) const;
368  bool operator<=( const HepLorentzVector & w ) const;
369 
370  bool isNear ( const HepLorentzVector & w,
371  double epsilon=tolerance ) const;
372  double howNear( const HepLorentzVector & w ) const;
373  // Is near using Euclidean measure t**2 + v**2
374 
375  bool isNearCM ( const HepLorentzVector & w,
376  double epsilon=tolerance ) const;
377  double howNearCM( const HepLorentzVector & w ) const;
378  // Is near in CM frame: Applicable only for two timelike HepLorentzVectors
379 
380  // If w1 and w2 are already in their CM frame, then w1.isNearCM(w2)
381  // is exactly equivalent to w1.isNear(w2).
382  // If w1 and w2 have T components of zero, w1.isNear(w2) is exactly
383  // equivalent to w1.getV().isNear(w2.v()).
384 
385  bool isParallel( const HepLorentzVector & w,
386  double epsilon=tolerance ) const;
387  // Test for isParallel is within tolerance epsilon
388  double howParallel (const HepLorentzVector & w) const;
389 
390  static double getTolerance();
391  static double setTolerance( double tol );
392  // Set the tolerance for HepLorentzVectors to be considered near
393  // The same tolerance is used for determining isLightlike, and isParallel
394 
395  double deltaR(const HepLorentzVector & v) const;
396  // sqrt ( (delta eta)^2 + (delta phi)^2 ) of space part
397 
398 // 4 - Intrinsic properties
399 
400  double howLightlike() const;
401  // Close to zero for almost lightlike 4-vectors; up to 1.
402 
403  inline double euclideanNorm2() const;
404  // Sum of the squares of time and space components; not Lorentz invariant.
405 
406  inline double euclideanNorm() const;
407  // Length considering the metric as (+ + + +); not Lorentz invariant.
408 
409 
410 // 4a - Relativistic kinematic properties
411 
412 // All Relativistic kinematic properties are independent of the sense of metric
413 
414  inline double restMass2() const;
415  inline double invariantMass2() const;
416  // Rest mass squared -- same as m2()
417 
418  inline double restMass() const;
419  inline double invariantMass() const;
420  // Same as m(). If m2() is negative then -sqrt(-m2()) is returned.
421 
422 // The following properties are rest-frame related,
423 // and are applicable only to non-spacelike 4-vectors
424 
426  // This 4-vector, boosted into its own rest frame: (0, 0, 0, m())
427  // The following relation holds by definition:
428  // w.rest4Vector().boost(w.boostVector()) == w
429 
430  // Beta and gamma of the boost vector
431  double beta() const;
432  // Relativistic beta of the boost vector
433 
434  double gamma() const;
435  // Relativistic gamma of the boost vector
436 
437  inline double eta() const;
438  // Pseudorapidity (of the space part)
439 
440  inline double eta(const Hep3Vector & ref) const;
441  // Pseudorapidity (of the space part) w.r.t. specified direction
442 
443  double rapidity(const Hep3Vector & ref) const;
444  // Rapidity in specified direction
445 
446  double coLinearRapidity() const;
447  // Rapidity, in the relativity textbook sense: atanh (|P|/E)
448 
449  Hep3Vector findBoostToCM() const;
450  // Boost needed to get to center-of-mass frame:
451  // w.findBoostToCM() == - w.boostVector()
452  // w.boost(w.findBoostToCM()) == w.rest4Vector()
453 
454  Hep3Vector findBoostToCM( const HepLorentzVector & w ) const;
455  // Boost needed to get to combined center-of-mass frame:
456  // w1.findBoostToCM(w2) == w2.findBoostToCM(w1)
457  // w.findBoostToCM(w) == w.findBoostToCM()
458 
459  inline double et2(const Hep3Vector &) const;
460  // Transverse energy w.r.t. given axis squared.
461 
462  inline double et(const Hep3Vector &) const;
463  // Transverse energy w.r.t. given axis.
464 
465 // 4b - Methods combining two 4-vectors
466 
467  inline double diff2( const HepLorentzVector & w ) const;
468  // (this - w).dot(this-w); sign depends on metric choice
469 
470  inline double delta2Euclidean ( const HepLorentzVector & w ) const;
471  // Euclidean norm of differnce: (delta_T)^2 + (delta_V)^2
472 
473 // 5 - Properties releative to z axis and to arbitrary directions
474 
475  double plus( const Hep3Vector & ref ) const;
476  // t + projection in reference direction
477 
478  double minus( const Hep3Vector & ref ) const;
479  // t - projection in reference direction
480 
481 // 7 - Rotations and boosts
482 
483  HepLorentzVector & rotate ( const Hep3Vector & axis, double delta );
484  // Same as rotate (delta, axis)
485 
486  HepLorentzVector & rotate ( const HepAxisAngle & ax );
487  HepLorentzVector & rotate ( const HepEulerAngles & e );
488  HepLorentzVector & rotate ( double phi,
489  double theta,
490  double psi );
491  // Rotate using these HepEuler angles - see Goldstein page 107 for conventions
492 
493  HepLorentzVector & boost ( const Hep3Vector & axis, double beta );
494  // Normalizes the Hep3Vector to define a direction, and uses beta to
495  // define the magnitude of the boost.
496 
498  ( const HepLorentzVector & vec, double delta );
500  ( const HepLorentzVector & vec, double delta );
502  ( const HepLorentzVector & vec, double delta );
504  ( const HepLorentzVector & vec, const Hep3Vector & axis, double delta );
506  ( const HepLorentzVector & vec, const HepAxisAngle & ax );
508  ( const HepLorentzVector & vec, const HepEulerAngles & e );
510  ( const HepLorentzVector & vec, double phi,
511  double theta,
512  double psi );
513 
514  inline friend HepLorentzVector boostXOf
515  ( const HepLorentzVector & vec, double beta );
516  inline friend HepLorentzVector boostYOf
517  ( const HepLorentzVector & vec, double beta );
518  inline friend HepLorentzVector boostZOf
519  ( const HepLorentzVector & vec, double beta );
520  inline friend HepLorentzVector boostOf
521  ( const HepLorentzVector & vec, const Hep3Vector & betaVector );
522  inline friend HepLorentzVector boostOf
523  ( const HepLorentzVector & vec, const Hep3Vector & axis, double beta );
524 
525 private:
526 
527  Hep3Vector pp;
528  double ee;
529 
530  DLL_API static double tolerance;
531  DLL_API static double metric;
532 
533 }; // HepLorentzVector
534 
535 // 8 - Axial Unit 4-vectors
536 
537 static const HepLorentzVector X_HAT4 = HepLorentzVector( 1, 0, 0, 0 );
538 static const HepLorentzVector Y_HAT4 = HepLorentzVector( 0, 1, 0, 0 );
539 static const HepLorentzVector Z_HAT4 = HepLorentzVector( 0, 0, 1, 0 );
540 static const HepLorentzVector T_HAT4 = HepLorentzVector( 0, 0, 0, 1 );
541 
542 // Global methods
543 
544 std::ostream & operator << (std::ostream &, const HepLorentzVector &);
545 // Output to a stream.
546 
547 std::istream & operator >> (std::istream &, HepLorentzVector &);
548 // Input from a stream.
549 
552 
553 inline HepLorentzVector operator * (const HepLorentzVector &, double a);
554 inline HepLorentzVector operator * (double a, const HepLorentzVector &);
555 // Scaling LorentzVector with a real number
556 
557  HepLorentzVector operator / (const HepLorentzVector &, double a);
558 // Dividing LorentzVector by a real number
559 
560 // Tcomponent definition:
561 
562 // Signature protection for 4-vector constructors taking 4 components
563 class Tcomponent {
564 private:
565  double t_;
566 public:
567  explicit Tcomponent(double t) : t_(t) {}
568  operator double() const { return t_; }
569 }; // Tcomponent
570 
571 } // namespace CLHEP
572 
573 #include "CLHEP/Vector/LorentzVector.icc"
574 
575 #endif /* HEP_LORENTZVECTOR_H */
HepLorentzVector operator-() const
Tcomponent(double t)
friend HepLorentzVector rotationXOf(const HepLorentzVector &vec, double delta)
double dot(const HepLorentzVector &) const
Hep3Vector boostVector() const
HepLorentzVector rotationOf(const HepLorentzVector &vec, const Hep3Vector &axis, double delta)
HepLorentzVector & operator*=(double)
bool isNearCM(const HepLorentzVector &w, double epsilon=tolerance) const
HepLorentzVector & rotateX(double)
friend HepLorentzVector boostOf(const HepLorentzVector &vec, const Hep3Vector &betaVector)
double euclideanNorm() const
double operator()(int) const
double delta2Euclidean(const HepLorentzVector &w) const
double howLightlike() const
HepLorentzRotation operator*(const HepRotation &r, const HepLorentzRotation &lt)
double pseudoRapidity() const
double coLinearRapidity() const
double diff2(const HepLorentzVector &w) const
HepLorentzVector rotationXOf(const HepLorentzVector &vec, double delta)
const char * p
Definition: xmltok.h:285
double invariantMass() const
bool isNear(const HepLorentzVector &w, double epsilon=tolerance) const
bool isTimelike() const
Hep3Vector v() const
void setVectMag(const Hep3Vector &spatial, double magnitude)
double euclideanNorm2() const
static double setTolerance(double tol)
bool operator==(const HepLorentzVector &) const
HepLorentzVector boostXOf(const HepLorentzVector &vec, double beta)
friend HepLorentzVector boostXOf(const HepLorentzVector &vec, double beta)
double getT() const
friend HepLorentzVector rotationYOf(const HepLorentzVector &vec, double delta)
HepLorentzVector & rotateZ(double)
friend HepLorentzVector boostZOf(const HepLorentzVector &vec, double beta)
bool operator>(const HepLorentzVector &w) const
int compare(const HepLorentzVector &w) const
HepLorentzVector operator+(const HepLorentzVector &) const
bool isParallel(const HepLorentzVector &w, double epsilon=tolerance) const
void setV(const Hep3Vector &)
double phi() const
void setVectM(const Hep3Vector &spatial, double mass)
double deltaR(const HepLorentzVector &v) const
double rapidity() const
Hep3Vector vect() const
double operator[](int) const
std::ostream & operator<<(std::ostream &os, const HepRandom &dist)
Definition: Random.cc:216
HepLorentzVector & operator=(const HepLorentzVector &)
double theta() const
bool isSpacelike() const
double mag() const
double py() const
HepLorentzVector & boost(double, double, double)
HepLorentzVector boostOf(const HepLorentzVector &vec, const Hep3Vector &betaVector)
bool operator<(const HepLorentzVector &w) const
double px() const
double howNear(const HepLorentzVector &w) const
double rho() const
HepLorentzVector boostZOf(const HepLorentzVector &vec, double beta)
HepLorentzVector & operator/=(double)
void setRhoPhiZ(double rho, double phi, double z)
HepLorentzVector HepLorentzVectorD
static ZMpvMetric_t setMetric(ZMpvMetric_t met)
static const HepLorentzVector X_HAT4
HepLorentzVector & rotateUz(const Hep3Vector &)
#define DLL_API
Definition: defs.h:19
HepLorentzVector & rotate(double, const Hep3Vector &)
HepLorentzVector rotationYOf(const HepLorentzVector &vec, double delta)
HepLorentzVector & boostZ(double beta)
double minus() const
HepLorentzVector operator/(const HepLorentzVector &, double a)
double invariantMass2() const
bool operator>=(const HepLorentzVector &w) const
Hep3Vector findBoostToCM() const
HepLorentzVector & operator+=(const HepLorentzVector &)
HepLorentzVector rotationZOf(const HepLorentzVector &vec, double delta)
void set(double x, double y, double z, double t)
void setRThetaPhi(double r, double theta, double phi)
double getX() const
double et() const
double et2() const
double m2() const
double getY() const
bool isLightlike(double epsilon=tolerance) const
HepLorentzVector boostYOf(const HepLorentzVector &vec, double beta)
double mag2() const
double mt2() const
HepLorentzVector & boostX(double beta)
HepLorentzVector & rotateY(double)
HepLorentzVector rest4Vector() const
HepLorentzVector & boostY(double beta)
double perp2() const
static const HepLorentzVector Y_HAT4
static const HepLorentzVector T_HAT4
double pz() const
double restMass2() const
double perp() const
double eta() const
double operator*(const HepLorentzVector &) const
HepLorentzVector & transform(const HepRotation &)
bool operator!=(const HepLorentzVector &) const
void setREtaPhi(double r, double eta, double phi)
bool operator<=(const HepLorentzVector &w) const
HepLorentzVector HepLorentzVectorF
static double getTolerance()
double getZ() const
friend HepLorentzVector boostYOf(const HepLorentzVector &vec, double beta)
friend HepLorentzVector rotationOf(const HepLorentzVector &vec, const Hep3Vector &axis, double delta)
void setVect(const Hep3Vector &)
static const HepLorentzVector Z_HAT4
double plus() const
std::istream & operator>>(std::istream &is, HepRandom &dist)
Definition: Random.cc:220
HepLorentzVector & operator-=(const HepLorentzVector &)
double howNearCM(const HepLorentzVector &w) const
friend HepLorentzVector rotationZOf(const HepLorentzVector &vec, double delta)
double angle(const Hep3Vector &) const
static ZMpvMetric_t getMetric()
double mt() const
double epsilon(double density, double temperature)
double howParallel(const HepLorentzVector &w) const
double restMass() const
Hep3Vector getV() const
double cosTheta() const