template<class CoordSystem>
class ROOT::Math::LorentzVector< CoordSystem >

Class describing a generic LorentzVector in the 4D space-time, using the specified coordinate system for the spatial vector part.

The metric used for the LorentzVector is (-,-,-,+). In the case of LorentzVector we don't distinguish the concepts of points and displacement vectors as in the 3D case, since the main use case for 4D Vectors is to describe the kinematics of relativistic particles. A LorentzVector behaves like a DisplacementVector in 4D. The Minkowski components could be viewed as v and t, or for kinematic 4-vectors, as p and E.

Definition at line 54 of file LorentzVector.h.

Public Types
typedef CoordSystem::Scalar	Scalar

typedef CoordSystem	CoordinateType

typedef DisplacementVector3D< Cartesian3D< Scalar > >	BetaVector

Public Member Functions
	LorentzVector ()
	default constructor of an empty vector (Px = Py = Pz = E = 0 ) More...

	LorentzVector (const Scalar &a, const Scalar &b, const Scalar &c, const Scalar &d)
	generic constructors from four scalar values. More...

template<class Coords >
	LorentzVector (const LorentzVector< Coords > &v)
	constructor from a LorentzVector expressed in different coordinates, or using a different Scalar type More...

template<class ForeignLorentzVector >
	LorentzVector (const ForeignLorentzVector &v)
	Construct from a foreign 4D vector type, for example, HepLorentzVector Precondition: v must implement methods x(), y(), z(), and t() More...

template<class OtherCoords >
LorentzVector &	operator= (const LorentzVector< OtherCoords > &v)
	Assignment operator from a lorentz vector of arbitrary type. More...

template<class ForeignLorentzVector >
LorentzVector &	operator= (const ForeignLorentzVector &v)
	assignment from any other Lorentz vector implementing x(), y(), z() and t() More...

const CoordSystem &	Coordinates () const
	Retrieve a const reference to the coordinates object. More...

LorentzVector< CoordSystem > &	SetCoordinates (const Scalar src[])
	Set internal data based on an array of 4 Scalar numbers. More...

LorentzVector< CoordSystem > &	SetCoordinates (Scalar a, Scalar b, Scalar c, Scalar d)
	Set internal data based on 4 Scalar numbers. More...

template<class IT >
LorentzVector< CoordSystem > &	SetCoordinates (IT begin, IT end)
	Set internal data based on 4 Scalars at begin to end. More...

void	GetCoordinates (Scalar &a, Scalar &b, Scalar &c, Scalar &d) const
	get internal data into 4 Scalar numbers More...

void	GetCoordinates (Scalar dest[]) const
	get internal data into an array of 4 Scalar numbers More...

template<class IT >
void	GetCoordinates (IT begin, IT end) const
	get internal data into 4 Scalars at begin to end More...

template<class IT >
void	GetCoordinates (IT begin) const
	get internal data into 4 Scalars at *begin More...

LorentzVector< CoordSystem > &	SetXYZT (Scalar xx, Scalar yy, Scalar zz, Scalar tt)
	set the values of the vector from the cartesian components (x,y,z,t) (if the vector is held in another coordinates, like (Pt,eta,phi,m) then (x, y, z, t) are converted to that form) More...

LorentzVector< CoordSystem > &	SetPxPyPzE (Scalar xx, Scalar yy, Scalar zz, Scalar ee)

bool	operator== (const LorentzVector &rhs) const
	Exact equality. More...

bool	operator!= (const LorentzVector &rhs) const

Scalar	Px () const
	spatial X component More...

Scalar	X () const

Scalar	Py () const
	spatial Y component More...

Scalar	Y () const

Scalar	Pz () const
	spatial Z component More...

Scalar	Z () const

Scalar	E () const
	return 4-th component (time, or energy for a 4-momentum vector) More...

Scalar	T () const

Scalar	M2 () const
	return magnitude (mass) squared M2 = T2 - X2 - Y2 - Z2 (we use -,-,-,+ metric) More...

Scalar	M () const
	return magnitude (mass) using the (-,-,-,+) metric. More...

Scalar	R () const
	return the spatial (3D) magnitude ( sqrt(X2 + Y2 + Z**2) ) More...

Scalar	P () const

Scalar	P2 () const
	return the square of the spatial (3D) magnitude ( X2 + Y2 + Z**2 ) More...

Scalar	Perp2 () const
	return the square of the transverse spatial component ( X2 + Y2 ) More...

Scalar	Pt () const
	return the transverse spatial component sqrt ( X2 + Y2 ) More...

Scalar	Rho () const

Scalar	Mt2 () const
	return the transverse mass squared \[ m_t^2 = E^2 - p{_z}^2 \] More...

Scalar	Mt () const
	return the transverse mass \[ \sqrt{ m_t^2 = E^2 - p{_z}^2} X sign(E^ - p{_z}^2) \] More...

Scalar	Et2 () const
	return the transverse energy squared \[ e_t = \frac{E^2 p_{\perp}^2 }{ \|p\|^2 } \] More...

Scalar	Et () const
	return the transverse energy \[ e_t = \sqrt{ \frac{E^2 p_{\perp}^2 }{ \|p\|^2 } } X sign(E) \] More...

Scalar	Phi () const
	azimuthal Angle More...

Scalar	Theta () const
	polar Angle More...

Scalar	Eta () const
	pseudorapidity \[ \eta = - \ln { \tan { \frac { \theta} {2} } } \] More...

::ROOT::Math::DisplacementVector3D< Cartesian3D< Scalar > >	Vect () const
	get the spatial components of the Vector in a DisplacementVector based on Cartesian Coordinates More...

template<class OtherLorentzVector >
Scalar	Dot (const OtherLorentzVector &q) const
	scalar (Dot) product of two LorentzVector vectors (metric is -,-,-,+) Enable the product using any other LorentzVector implementing the x(), y() , y() and t() member functions More...

template<class OtherLorentzVector >
LorentzVector &	operator+= (const OtherLorentzVector &q)
	Self addition with another Vector ( v+= q ) Enable the addition with any other LorentzVector. More...

template<class OtherLorentzVector >
LorentzVector &	operator-= (const OtherLorentzVector &q)
	Self subtraction of another Vector from this ( v-= q ) Enable the addition with any other LorentzVector. More...

template<class OtherLorentzVector >
LorentzVector	operator+ (const OtherLorentzVector &v2) const
	addition of two LorentzVectors (v3 = v1 + v2) Enable the addition with any other LorentzVector More...

template<class OtherLorentzVector >
LorentzVector	operator- (const OtherLorentzVector &v2) const
	subtraction of two LorentzVectors (v3 = v1 - v2) Enable the subtraction of any other LorentzVector More...

LorentzVector &	operator*= (Scalar a)
	multiplication by a scalar quantity v *= a More...

LorentzVector &	operator/= (Scalar a)
	division by a scalar quantity v /= a More...

LorentzVector	operator* (const Scalar &a) const
	product of a LorentzVector by a scalar quantity More...

LorentzVector< CoordSystem >	operator/ (const Scalar &a) const
	Divide a LorentzVector by a scalar quantity. More...

LorentzVector	operator- () const
	Negative of a LorentzVector (q = - v ) More...

LorentzVector	operator+ () const

Scalar	Rapidity () const
	Rapidity relative to the Z axis: .5 log [(E+Pz)/(E-Pz)]. More...

Scalar	ColinearRapidity () const
	Rapidity in the direction of travel: atanh (\|P\|/E)=.5 log[(E+P)/(E-P)]. More...

bool	isTimelike () const
	Determine if momentum-energy can represent a physical massive particle. More...

bool	isLightlike (Scalar tolerance=100 *std::numeric_limits< Scalar >::epsilon()) const
	Determine if momentum-energy can represent a massless particle. More...

bool	isSpacelike () const
	Determine if momentum-energy is spacelike, and represents a tachyon. More...

BetaVector	BoostToCM () const
	The beta vector for the boost that would bring this vector into its center of mass frame (zero momentum) More...

template<class Other4Vector >
BetaVector	BoostToCM (const Other4Vector &v) const
	The beta vector for the boost that would bring this vector into its center of mass frame (zero momentum) More...

Scalar	Beta () const
	Return beta scalar value. More...

Scalar	Gamma () const
	Return Gamma scalar value. More...

Scalar	x () const

Scalar	y () const

Scalar	z () const

Scalar	t () const

Scalar	px () const

Scalar	py () const

Scalar	pz () const

Scalar	e () const

Scalar	r () const

Scalar	theta () const

Scalar	phi () const

Scalar	rho () const

Scalar	eta () const

Scalar	pt () const

Scalar	perp2 () const

Scalar	mag2 () const

Scalar	mag () const

Scalar	mt () const

Scalar	mt2 () const

Scalar	energy () const

Scalar	mass () const

Scalar	mass2 () const

LorentzVector< CoordSystem > &	SetE (Scalar a)
	Methods setting a Single-component Work only if the component is one of which the vector is represented. More...

LorentzVector< CoordSystem > &	SetEta (Scalar a)

LorentzVector< CoordSystem > &	SetM (Scalar a)

LorentzVector< CoordSystem > &	SetPhi (Scalar a)

LorentzVector< CoordSystem > &	SetPt (Scalar a)

LorentzVector< CoordSystem > &	SetPx (Scalar a)

LorentzVector< CoordSystem > &	SetPy (Scalar a)

LorentzVector< CoordSystem > &	SetPz (Scalar a)

Private Attributes
CoordSystem	fCoordinates

#include <Math/GenVector/LorentzVector.h>

Collaboration diagram for ROOT::Math::LorentzVector< CoordSystem >:

Member Typedef Documentation

template<class CoordSystem>

typedef DisplacementVector3D< Cartesian3D<Scalar> > ROOT::Math::LorentzVector< CoordSystem >::BetaVector

Definition at line 537 of file LorentzVector.h.

template<class CoordSystem>

typedef CoordSystem ROOT::Math::LorentzVector< CoordSystem >::CoordinateType

Definition at line 61 of file LorentzVector.h.

template<class CoordSystem>

typedef CoordSystem::Scalar ROOT::Math::LorentzVector< CoordSystem >::Scalar

Definition at line 60 of file LorentzVector.h.

Constructor & Destructor Documentation

template<class CoordSystem>

ROOT::Math::LorentzVector< CoordSystem >::LorentzVector ( )

inline

default constructor of an empty vector (Px = Py = Pz = E = 0 )

Definition at line 66 of file LorentzVector.h.

template<class CoordSystem>

ROOT::Math::LorentzVector< CoordSystem >::LorentzVector	(	const Scalar &	a,
		const Scalar &	b,
		const Scalar &	c,
		const Scalar &	d
	)

inline

generic constructors from four scalar values.

The association between values and coordinate depends on the coordinate system. For PxPyPzE4D,

Parameters

a	scalar value (Px)
b	scalar value (Py)
c	scalar value (Pz)
d	scalar value (E)

Definition at line 77 of file LorentzVector.h.

template<class CoordSystem>

template<class Coords >

ROOT::Math::LorentzVector< CoordSystem >::LorentzVector ( const LorentzVector< Coords > & v )

inlineexplicit

constructor from a LorentzVector expressed in different coordinates, or using a different Scalar type

Definition at line 88 of file LorentzVector.h.

template<class CoordSystem>

template<class ForeignLorentzVector >

ROOT::Math::LorentzVector< CoordSystem >::LorentzVector ( const ForeignLorentzVector< CoordSystem > & v )

inlineexplicit

Construct from a foreign 4D vector type, for example, HepLorentzVector Precondition: v must implement methods x(), y(), z(), and t()

Definition at line 96 of file LorentzVector.h.

Member Function Documentation

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Beta ( ) const

inline

Return beta scalar value.

Definition at line 587 of file LorentzVector.h.

template<class CoordSystem>

BetaVector ROOT::Math::LorentzVector< CoordSystem >::BoostToCM ( ) const

inline

The beta vector for the boost that would bring this vector into its center of mass frame (zero momentum)

Definition at line 543 of file LorentzVector.h.

template<class CoordSystem>

template<class Other4Vector >

BetaVector ROOT::Math::LorentzVector< CoordSystem >::BoostToCM ( const Other4Vector & v ) const

inline

The beta vector for the boost that would bring this vector into its center of mass frame (zero momentum)

Definition at line 565 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::ColinearRapidity ( ) const

inline

Rapidity in the direction of travel: atanh (|P|/E)=.5 log[(E+P)/(E-P)].

Definition at line 505 of file LorentzVector.h.

template<class CoordSystem>

const CoordSystem& ROOT::Math::LorentzVector< CoordSystem >::Coordinates ( ) const

inline

Retrieve a const reference to the coordinates object.

Definition at line 157 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator=().

template<class CoordSystem>

template<class OtherLorentzVector >

Scalar ROOT::Math::LorentzVector< CoordSystem >::Dot ( const OtherLorentzVector< CoordSystem > & q ) const

inline

scalar (Dot) product of two LorentzVector vectors (metric is -,-,-,+) Enable the product using any other LorentzVector implementing the x(), y() , y() and t() member functions

Parameters

q	any LorentzVector implementing the x(), y() , z() and t() member functions

Returns: the result of v.q of type according to the base scalar type of v

Definition at line 377 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::E ( ) const

inline

return 4-th component (time, or energy for a 4-momentum vector)

Definition at line 284 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::e ( ) const

inline

Definition at line 636 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::energy ( ) const

inline

Definition at line 651 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Et ( ) const

inline

return the transverse energy

\[ e_t = \sqrt{ \frac{E^2 p_{\perp}^2 }{ |p|^2 } } X sign(E) \]

Definition at line 339 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Et2 ( ) const

inline

return the transverse energy squared

\[ e_t = \frac{E^2 p_{\perp}^2 }{ |p|^2 } \]

Definition at line 333 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Eta ( ) const

inline

pseudorapidity

\[ \eta = - \ln { \tan { \frac { \theta} {2} } } \]

Definition at line 355 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::eta ( ) const

inline

Definition at line 641 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Gamma ( ) const

inline

Return Gamma scalar value.

Definition at line 605 of file LorentzVector.h.

template<class CoordSystem>

void ROOT::Math::LorentzVector< CoordSystem >::GetCoordinates	(	Scalar &	a,
		Scalar &	b,
		Scalar &	c,
		Scalar &	d
	)		const

inline

get internal data into 4 Scalar numbers

Definition at line 200 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::GetCoordinates().

template<class CoordSystem>

void ROOT::Math::LorentzVector< CoordSystem >::GetCoordinates ( Scalar dest[] ) const

inline

get internal data into an array of 4 Scalar numbers

Definition at line 206 of file LorentzVector.h.

template<class CoordSystem>

template<class IT >

void ROOT::Math::LorentzVector< CoordSystem >::GetCoordinates	(	IT	begin,
		IT	end
	)		const

inline

get internal data into 4 Scalars at *begin to *end

Definition at line 214 of file LorentzVector.h.

template<class CoordSystem>

template<class IT >

void ROOT::Math::LorentzVector< CoordSystem >::GetCoordinates ( IT begin ) const

inline

get internal data into 4 Scalars at *begin

Definition at line 227 of file LorentzVector.h.

template<class CoordSystem>

bool ROOT::Math::LorentzVector< CoordSystem >::isLightlike ( Scalar tolerance = 100*std::numeric_limits<Scalar>::epsilon() ) const

inline

Determine if momentum-energy can represent a massless particle.

Definition at line 523 of file LorentzVector.h.

template<class CoordSystem>

bool ROOT::Math::LorentzVector< CoordSystem >::isSpacelike ( ) const

inline

Determine if momentum-energy is spacelike, and represents a tachyon.

Definition at line 533 of file LorentzVector.h.

template<class CoordSystem>

bool ROOT::Math::LorentzVector< CoordSystem >::isTimelike ( ) const

inline

Determine if momentum-energy can represent a physical massive particle.

Definition at line 516 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::M ( ) const

inline

return magnitude (mass) using the (-,-,-,+) metric.

If M2 is negative (space-like vector) a GenVector_exception is suggested and if continuing, - sqrt( -M2) is returned

Definition at line 296 of file LorentzVector.h.

Referenced by test4D().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::M2 ( ) const

inline

return magnitude (mass) squared M2 = T**2 - X**2 - Y**2 - Z**2 (we use -,-,-,+ metric)

Definition at line 290 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Beta(), and ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::BoostToCM().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::mag ( ) const

inline

Definition at line 645 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::mag2 ( ) const

inline

Definition at line 644 of file LorentzVector.h.

Referenced by TrackD::mag2(), TrackD32::mag2(), and ClusterD::mag2().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::mass ( ) const

inline

Definition at line 652 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::mass2 ( ) const

inline

Definition at line 653 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Mt ( ) const

inline

return the transverse mass

\[ \sqrt{ m_t^2 = E^2 - p{_z}^2} X sign(E^ - p{_z}^2) \]

Definition at line 327 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::mt ( ) const

inline

Definition at line 646 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Mt2 ( ) const

inline

return the transverse mass squared

\[ m_t^2 = E^2 - p{_z}^2 \]

Definition at line 321 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::mt2 ( ) const

inline

Definition at line 647 of file LorentzVector.h.

template<class CoordSystem>

bool ROOT::Math::LorentzVector< CoordSystem >::operator!= ( const LorentzVector< CoordSystem > & rhs ) const

inline

Definition at line 258 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector ROOT::Math::LorentzVector< CoordSystem >::operator* ( const Scalar & a ) const

inline

product of a LorentzVector by a scalar quantity

Parameters

a	scalar quantity of type a

Returns: a new mathcoreLorentzVector q = v * a same type as v

Definition at line 458 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator-().

template<class CoordSystem>

LorentzVector& ROOT::Math::LorentzVector< CoordSystem >::operator*= ( Scalar a )

inline

multiplication by a scalar quantity v *= a

Definition at line 440 of file LorentzVector.h.

template<class CoordSystem>

template<class OtherLorentzVector >

LorentzVector ROOT::Math::LorentzVector< CoordSystem >::operator+ ( const OtherLorentzVector< CoordSystem > & v2 ) const

inline

addition of two LorentzVectors (v3 = v1 + v2) Enable the addition with any other LorentzVector

Parameters

v2	any LorentzVector implementing the x(), y() , z() and t() member functions

Returns: a new LorentzVector of the same type as v1

Definition at line 414 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector ROOT::Math::LorentzVector< CoordSystem >::operator+ ( ) const

inline

Definition at line 484 of file LorentzVector.h.

template<class CoordSystem>

template<class OtherLorentzVector >

LorentzVector& ROOT::Math::LorentzVector< CoordSystem >::operator+= ( const OtherLorentzVector< CoordSystem > & q )

inline

Self addition with another Vector ( v+= q ) Enable the addition with any other LorentzVector.

Parameters

q	any LorentzVector implementing the x(), y() , z() and t() member functions

Definition at line 388 of file LorentzVector.h.

template<class CoordSystem>

template<class OtherLorentzVector >

LorentzVector ROOT::Math::LorentzVector< CoordSystem >::operator- ( const OtherLorentzVector< CoordSystem > & v2 ) const

inline

subtraction of two LorentzVectors (v3 = v1 - v2) Enable the subtraction of any other LorentzVector

Parameters

v2	any LorentzVector implementing the x(), y() , z() and t() member functions

Returns: a new LorentzVector of the same type as v1

Definition at line 429 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector ROOT::Math::LorentzVector< CoordSystem >::operator- ( ) const

inline

Negative of a LorentzVector (q = - v )

Returns: a new LorentzVector with opposite direction and time

Definition at line 479 of file LorentzVector.h.

template<class CoordSystem>

template<class OtherLorentzVector >

LorentzVector& ROOT::Math::LorentzVector< CoordSystem >::operator-= ( const OtherLorentzVector< CoordSystem > & q )

inline

Self subtraction of another Vector from this ( v-= q ) Enable the addition with any other LorentzVector.

Parameters

q	any LorentzVector implementing the x(), y() , z() and t() member functions

Definition at line 401 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem> ROOT::Math::LorentzVector< CoordSystem >::operator/ ( const Scalar & a ) const

inline

Divide a LorentzVector by a scalar quantity.

Parameters

a	scalar quantity of type a

Returns: a new mathcoreLorentzVector q = v / a same type as v

Definition at line 469 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector& ROOT::Math::LorentzVector< CoordSystem >::operator/= ( Scalar a )

inline

division by a scalar quantity v /= a

Definition at line 448 of file LorentzVector.h.

template<class CoordSystem>

template<class OtherCoords >

LorentzVector& ROOT::Math::LorentzVector< CoordSystem >::operator= ( const LorentzVector< OtherCoords > & v )

inline

Assignment operator from a lorentz vector of arbitrary type.

Definition at line 121 of file LorentzVector.h.

template<class CoordSystem>

template<class ForeignLorentzVector >

LorentzVector& ROOT::Math::LorentzVector< CoordSystem >::operator= ( const ForeignLorentzVector< CoordSystem > & v )

inline

assignment from any other Lorentz vector implementing x(), y(), z() and t()

Definition at line 131 of file LorentzVector.h.

template<class CoordSystem>

bool ROOT::Math::LorentzVector< CoordSystem >::operator== ( const LorentzVector< CoordSystem > & rhs ) const

inline

Exact equality.

Definition at line 255 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator!=().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::P ( ) const

inline

Definition at line 301 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Beta(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::BoostToCM(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::ColinearRapidity(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::isLightlike(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::isSpacelike(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::isTimelike(), and ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::P2().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::P2 ( ) const

inline

return the square of the spatial (3D) magnitude ( X**2 + Y**2 + Z**2 )

Definition at line 305 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Beta(), and ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Gamma().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Perp2 ( ) const

inline

return the square of the transverse spatial component ( X**2 + Y**2 )

Definition at line 309 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::perp2 ( ) const

inline

Definition at line 643 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Phi ( ) const

inline

azimuthal Angle

Definition at line 344 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::phi ( ) const

inline

Definition at line 639 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Pt ( ) const

inline

return the transverse spatial component sqrt ( X**2 + Y**2 )

Definition at line 314 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::pt ( ) const

inline

Definition at line 642 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Px ( ) const

inline

spatial X component

Definition at line 269 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::px ( ) const

inline

Definition at line 633 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Py ( ) const

inline

spatial Y component

Definition at line 274 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::py ( ) const

inline

Definition at line 634 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Pz ( ) const

inline

spatial Z component

Definition at line 279 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Rapidity().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::pz ( ) const

inline

Definition at line 635 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::R ( ) const

inline

return the spatial (3D) magnitude ( sqrt(X**2 + Y**2 + Z**2) )

Definition at line 300 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::r ( ) const

inline

Definition at line 637 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Rapidity ( ) const

inline

Rapidity relative to the Z axis: .5 log [(E+Pz)/(E-Pz)].

Definition at line 493 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Rho ( ) const

inline

Definition at line 315 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::rho ( ) const

inline

Definition at line 640 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetCoordinates ( const Scalar src[] )

inline

Set internal data based on an array of 4 Scalar numbers.

Definition at line 164 of file LorentzVector.h.

Referenced by ROOT::Math::operator>>(), and ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::SetCoordinates().

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetCoordinates	(	Scalar	a,
		Scalar	b,
		Scalar	c,
		Scalar	d
	)

inline

Set internal data based on 4 Scalar numbers.

Definition at line 172 of file LorentzVector.h.

template<class CoordSystem>

template<class IT >

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetCoordinates	(	IT	begin,
		IT	end
	)

inline

Set internal data based on 4 Scalars at *begin to *end.

Definition at line 187 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetE ( Scalar a )

inline

Methods setting a Single-component Work only if the component is one of which the vector is represented.

For example SetE will work for a PxPyPzE Vector but not for a PxPyPzM Vector.

Definition at line 661 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetEta ( Scalar a )

inline

Definition at line 662 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetM ( Scalar a )

inline

Definition at line 663 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetPhi ( Scalar a )

inline

Definition at line 664 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetPt ( Scalar a )

inline

Definition at line 665 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetPx ( Scalar a )

inline

Definition at line 666 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetPxPyPzE	(	Scalar	xx,
		Scalar	yy,
		Scalar	zz,
		Scalar	ee
	)

inline

Definition at line 245 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetPy ( Scalar a )

inline

Definition at line 667 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetPz ( Scalar a )

inline

Definition at line 668 of file LorentzVector.h.

template<class CoordSystem>

LorentzVector<CoordSystem>& ROOT::Math::LorentzVector< CoordSystem >::SetXYZT	(	Scalar	xx,
		Scalar	yy,
		Scalar	zz,
		Scalar	tt
	)

inline

set the values of the vector from the cartesian components (x,y,z,t) (if the vector is held in another coordinates, like (Pt,eta,phi,m) then (x, y, z, t) are converted to that form)

Definition at line 241 of file LorentzVector.h.

Referenced by doTestL(), doTestLA(), ROOT::Math::VectorUtil::Mult(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator+=(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator-=(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator=(), setValues(), and writeTrack().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::T ( ) const

inline

Definition at line 285 of file LorentzVector.h.

Referenced by ROOT::Math::BoostX::operator()(), ROOT::Math::BoostZ::operator()(), ROOT::Math::BoostY::operator()(), ROOT::Math::Boost::operator()(), and ROOT::Math::LorentzRotation::operator()().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::t ( ) const

inline

Definition at line 632 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Dot(), ROOT::Math::VectorUtil::Mult(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator+=(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator-=(), and test4D().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Theta ( ) const

inline

polar Angle

Definition at line 349 of file LorentzVector.h.

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::theta ( ) const

inline

Definition at line 638 of file LorentzVector.h.

template<class CoordSystem>

::ROOT::Math::DisplacementVector3D<Cartesian3D<Scalar> > ROOT::Math::LorentzVector< CoordSystem >::Vect ( ) const

inline

get the spatial components of the Vector in a DisplacementVector based on Cartesian Coordinates

Definition at line 361 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::BoostToCM(), ROOT::Math::RotationZ::operator()(), ROOT::Math::RotationX::operator()(), ROOT::Math::RotationY::operator()(), ROOT::Math::Quaternion::operator()(), ROOT::Math::AxisAngle::operator()(), ROOT::Math::RotationZYX::operator()(), ROOT::Math::EulerAngles::operator()(), ROOT::Math::Rotation3D::operator()(), and ROOT::Math::Transform3D::operator()().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::X ( ) const

inline

Definition at line 270 of file LorentzVector.h.

Referenced by ROOT::Math::BoostX::operator()(), ROOT::Math::BoostZ::operator()(), ROOT::Math::BoostY::operator()(), ROOT::Math::Boost::operator()(), ROOT::Math::LorentzRotation::operator()(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Vect(), and writeTrack().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::x ( ) const

inline

Definition at line 629 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Dot(), ROOT::Math::VectorUtil::Mult(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator+=(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator-=(), and test4D().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Y ( ) const

inline

Definition at line 275 of file LorentzVector.h.

Referenced by ROOT::Math::BoostX::operator()(), ROOT::Math::BoostZ::operator()(), ROOT::Math::BoostY::operator()(), ROOT::Math::Boost::operator()(), ROOT::Math::LorentzRotation::operator()(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Vect(), and writeTrack().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::y ( ) const

inline

Definition at line 630 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Dot(), ROOT::Math::VectorUtil::Mult(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator+=(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator-=(), and test4D().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::Z ( ) const

inline

Definition at line 280 of file LorentzVector.h.

Referenced by ROOT::Math::BoostX::operator()(), ROOT::Math::BoostZ::operator()(), ROOT::Math::BoostY::operator()(), ROOT::Math::Boost::operator()(), ROOT::Math::LorentzRotation::operator()(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Vect(), and writeTrack().

template<class CoordSystem>

Scalar ROOT::Math::LorentzVector< CoordSystem >::z ( ) const

inline

Definition at line 631 of file LorentzVector.h.

Referenced by ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::Dot(), ROOT::Math::VectorUtil::Mult(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator+=(), ROOT::Math::LorentzVector< ROOT::Math::PxPyPzE4D< Double32_t > >::operator-=(), and test4D().

Member Data Documentation

template<class CoordSystem>

CoordSystem ROOT::Math::LorentzVector< CoordSystem >::fCoordinates

private

Definition at line 672 of file LorentzVector.h.

The documentation for this class was generated from the following file:

math/genvector/inc/Math/GenVector/LorentzVector.h

template<class CoordSystem> class ROOT::Math::LorentzVector< CoordSystem >

Public Types

Public Member Functions

Private Attributes

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class CoordSystem>
class ROOT::Math::LorentzVector< CoordSystem >