ROOT::Math::PxPyPzM4D< ScalarType > Class Template Reference
[GenVector]

Class describing a 4D coordinate system or momentum-energy vectors stored as (Px, Py, Pz, M). More...

#include <PxPyPzM4D.h>

List of all members.

Public Types
typedef ScalarType	Scalar
Public Member Functions
	PxPyPzM4D ()
	Default constructor with x=y=z=m=0.
	PxPyPzM4D (Scalar px, Scalar py, Scalar pz, Scalar m)
	Constructor from x, y , z , m values.
template<class CoordSystem >
	PxPyPzM4D (const CoordSystem &v)
	construct from any 4D coordinate system class implementing X(), Y(), X() and M()
	PxPyPzM4D (const PxPyPzM4D &v)
	copy constructor
PxPyPzM4D &	operator= (const PxPyPzM4D &v)
	assignment operator
template<class AnyCoordSystem >
PxPyPzM4D &	operator= (const AnyCoordSystem &v)
	construct from any 4D coordinate system class implementing X(), Y(), X() and M()
void	SetCoordinates (const Scalar src[])
	Set internal data based on an array of 4 Scalar numbers.
void	GetCoordinates (Scalar dest[]) const
	get internal data into an array of 4 Scalar numbers
void	SetCoordinates (Scalar px, Scalar py, Scalar pz, Scalar m)
	Set internal data based on 4 Scalar numbers.
void	GetCoordinates (Scalar &px, Scalar &py, Scalar &pz, Scalar &m) const
	get internal data into 4 Scalar numbers
Scalar	Px () const
Scalar	Py () const
Scalar	Pz () const
Scalar	M () const
Scalar	X () const
Scalar	Y () const
Scalar	Z () const
Scalar	E () const
	Energy.
Scalar	T () const
Scalar	P2 () const
	squared magnitude of spatial components
Scalar	P () const
	magnitude of spatial components (magnitude of 3-momentum)
Scalar	R () const
Scalar	M2 () const
	vector magnitude squared (or mass squared) In case of negative mass (spacelike particles return negative values)
Scalar	Mag2 () const
Scalar	Mag () const
Scalar	E2 () const
	energy squared
Scalar	Pt2 () const
	transverse spatial component squared
Scalar	Perp2 () const
Scalar	Pt () const
	Transverse spatial component (P_perp or rho).
Scalar	Perp () const
Scalar	Rho () const
Scalar	Mt2 () const
	transverse mass squared
Scalar	Mt () const
	transverse mass
Scalar	Et2 () const
	transverse energy squared
Scalar	Et () const
	transverse energy
Scalar	Phi () const
	azimuthal angle
Scalar	Theta () const
	polar angle
Scalar	Eta () const
	pseudorapidity
void	SetPx (Scalar px)
	set X value
void	SetPy (Scalar py)
	set Y value
void	SetPz (Scalar pz)
	set Z value
void	SetM (Scalar m)
	set T value
void	SetPxPyPzE (Scalar px, Scalar py, Scalar pz, Scalar e)
	set all values
void	Negate ()
	negate the 4-vector - Note that the energy cannot be negate (would need an additional data member) therefore negate will work only on the spatial components.
void	Scale (const Scalar &a)
	scale coordinate values by a scalar quantity a
bool	operator== (const PxPyPzM4D &rhs) const
	Exact equality.
bool	operator!= (const PxPyPzM4D &rhs) const
Scalar	x () const
Scalar	y () const
Scalar	z () const
Scalar	t () const

---

Detailed Description

template<class ScalarType = double>
class ROOT::Math::PxPyPzM4D< ScalarType >

Class describing a 4D coordinate system or momentum-energy vectors stored as (Px, Py, Pz, M).

This system is useful to describe ultra-relativistic particles (like electrons at LHC) to avoid numerical errors evaluating the mass when E >>> m The metric used is (-,-,-,+) Spacelike particles (M2 < 0) are described with negative mass values, but in this case m2 must alwasy be less than P2 to preserve a positive value of E2

Definition at line 51 of file GenVector/PxPyPzM4D.h.

---

Member Typedef Documentation

template<class ScalarType = double>

typedef ScalarType ROOT::Math::PxPyPzM4D< ScalarType >::Scalar

Definition at line 55 of file GenVector/PxPyPzM4D.h.

---

Constructor & Destructor Documentation

template<class ScalarType = double>

ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D

(

)

[inline]

Default constructor with x=y=z=m=0.

Definition at line 62 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D	(	Scalar	px,
		Scalar	py,
		Scalar	pz,
		Scalar	m
	)			[inline]

Constructor from x, y , z , m values.

Definition at line 68 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

template<class CoordSystem >

ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D

(

const CoordSystem &

v

)

[inline, explicit]

construct from any 4D coordinate system class implementing X(), Y(), X() and M()

Definition at line 79 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D

(

const PxPyPzM4D< ScalarType > &

v

)

[inline]

copy constructor

Definition at line 88 of file GenVector/PxPyPzM4D.h.

---

Member Function Documentation

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::E

(

)

const [inline]

Energy.

Definition at line 161 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::E2(), and ROOT::Math::sqrt().

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::t(), and ROOT::Math::PxPyPzM4D< ScalarType >::T().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::E2

(

)

const [inline]

energy squared

Definition at line 190 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::M2(), and ROOT::Math::PxPyPzM4D< ScalarType >::P2().

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::E(), ROOT::Math::PxPyPzM4D< ScalarType >::Et2(), and ROOT::Math::PxPyPzM4D< ScalarType >::Mt2().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Et

(

)

const [inline]

transverse energy

Definition at line 240 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::Et2(), and ROOT::Math::sqrt().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Et2

(

)

const [inline]

transverse energy squared

Definition at line 231 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::E2(), and ROOT::Math::PxPyPzM4D< ScalarType >::Pt2().

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::Et().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Eta

(

)

const [inline]

pseudorapidity

Definition at line 262 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::Impl::Eta_FromRhoZ(), and ROOT::Math::PxPyPzM4D< ScalarType >::Pt().

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::GetCoordinates	(	Scalar &	px,
		Scalar &	py,
		Scalar &	pz,
		Scalar &	m
	)			const [inline]

get internal data into 4 Scalar numbers

Definition at line 141 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::GetCoordinates

(

Scalar

dest[]

)

const [inline]

get internal data into an array of 4 Scalar numbers

Definition at line 127 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::M

(

)

const [inline]

Definition at line 151 of file GenVector/PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::Mag().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::M2

(

)

const [inline]

vector magnitude squared (or mass squared) In case of negative mass (spacelike particles return negative values)

Definition at line 180 of file GenVector/PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::E2(), and ROOT::Math::PxPyPzM4D< ScalarType >::Mag2().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mag

(

)

const [inline]

Definition at line 185 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::M().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mag2

(

)

const [inline]

Definition at line 183 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::M2().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mt

(

)

const [inline]

transverse mass

Definition at line 217 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::Mt2(), ROOT::Math::sqrt(), and ROOT::Math::Throw().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mt2

(

)

const [inline]

transverse mass squared

Definition at line 212 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::E2().

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::Mt().

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::Negate

(

)

[inline]

negate the 4-vector - Note that the energy cannot be negate (would need an additional data member) therefore negate will work only on the spatial components.

One would need to use negate only with vectors having the energy as data members

Definition at line 307 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::Throw().

template<class ScalarType = double>

bool ROOT::Math::PxPyPzM4D< ScalarType >::operator!=

(

const PxPyPzM4D< ScalarType > &

rhs

)

const [inline]

Definition at line 331 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::operator==().

template<class ScalarType = double>

template<class AnyCoordSystem >

PxPyPzM4D& ROOT::Math::PxPyPzM4D< ScalarType >::operator=

(

const AnyCoordSystem &

v

)

[inline]

construct from any 4D coordinate system class implementing X(), Y(), X() and M()

Definition at line 108 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

PxPyPzM4D& ROOT::Math::PxPyPzM4D< ScalarType >::operator=

(

const PxPyPzM4D< ScalarType > &

v

)

[inline]

assignment operator

Definition at line 94 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

bool ROOT::Math::PxPyPzM4D< ScalarType >::operator==

(

const PxPyPzM4D< ScalarType > &

rhs

)

const [inline]

Exact equality.

Definition at line 328 of file GenVector/PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::operator!=().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::P

(

)

const [inline]

magnitude of spatial components (magnitude of 3-momentum)

Definition at line 173 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::P2(), and ROOT::Math::sqrt().

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::R().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::P2

(

)

const [inline]

squared magnitude of spatial components

Definition at line 168 of file GenVector/PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::E2(), and ROOT::Math::PxPyPzM4D< ScalarType >::P().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Perp

(

)

const [inline]

Definition at line 206 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::Pt().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Perp2

(

)

const [inline]

Definition at line 200 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::Pt2().

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::Pt().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Phi

(

)

const [inline]

azimuthal angle

Definition at line 248 of file GenVector/PxPyPzM4D.h.

References atan2().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Pt

(

)

const [inline]

Transverse spatial component (P_perp or rho).

Definition at line 205 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::Perp2(), and ROOT::Math::sqrt().

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::Eta(), ROOT::Math::PxPyPzM4D< ScalarType >::Perp(), ROOT::Math::PxPyPzM4D< ScalarType >::Rho(), and ROOT::Math::PxPyPzM4D< ScalarType >::Theta().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Pt2

(

)

const [inline]

transverse spatial component squared

Definition at line 199 of file GenVector/PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::Et2(), and ROOT::Math::PxPyPzM4D< ScalarType >::Perp2().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Px

(

)

const [inline]

Definition at line 148 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Py

(

)

const [inline]

Definition at line 149 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Pz

(

)

const [inline]

Definition at line 150 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::R

(

)

const [inline]

Definition at line 174 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::P().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Rho

(

)

const [inline]

Definition at line 207 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::Pt().

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::Scale

(

const Scalar &

a

)

[inline]

scale coordinate values by a scalar quantity a

Definition at line 317 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::SetCoordinates	(	Scalar	px,
		Scalar	py,
		Scalar	pz,
		Scalar	m
	)			[inline]

Set internal data based on 4 Scalar numbers.

Definition at line 133 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::SetCoordinates

(

const Scalar

src[]

)

[inline]

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

Definition at line 119 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::SetM

(

Scalar

m

)

[inline]

set T value

Definition at line 290 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::SetPx

(

Scalar

px

)

[inline]

set X value

Definition at line 272 of file GenVector/PxPyPzM4D.h.

template<class ScalarType >

void ROOT::Math::PxPyPzM4D< ScalarType >::SetPxPyPzE	(	Scalar	px,
		Scalar	py,
		Scalar	pz,
		Scalar	e
	)			[inline]

set all values

Definition at line 402 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::SetPy

(

Scalar

py

)

[inline]

set Y value

Definition at line 278 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::SetPz

(

Scalar

pz

)

[inline]

set Z value

Definition at line 284 of file GenVector/PxPyPzM4D.h.

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::t

(

)

const [inline]

Definition at line 341 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::E().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::T

(

)

const [inline]

Definition at line 163 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::E().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Theta

(

)

const [inline]

polar angle

Definition at line 255 of file GenVector/PxPyPzM4D.h.

References atan2(), and ROOT::Math::PxPyPzM4D< ScalarType >::Pt().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::x

(

)

const [inline]

Definition at line 338 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::X().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::X

(

)

const [inline]

Definition at line 153 of file GenVector/PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::x().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::y

(

)

const [inline]

Definition at line 339 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::Y().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Y

(

)

const [inline]

Definition at line 154 of file GenVector/PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::y().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::z

(

)

const [inline]

Definition at line 340 of file GenVector/PxPyPzM4D.h.

References ROOT::Math::PxPyPzM4D< ScalarType >::Z().

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Z

(

)

const [inline]

Definition at line 155 of file GenVector/PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::z().

---

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

• GenVector/PxPyPzM4D.h