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 always be less than P2 to preserve a positive value of E2

See also: Overview of the physics vector library

Definition at line 49 of file PxPyPzM4D.h.

Public Types
typedef ScalarType	Scalar

Public Member Functions
	PxPyPzM4D ()
	Default constructor with x=y=z=m=0.

template<class CoordSystem >
constexpr	PxPyPzM4D (const CoordSystem &v)
	construct from any 4D coordinate system class implementing X(), Y(), X() and M()

	PxPyPzM4D (const PxPyPzM4D &v)
	copy constructor

	PxPyPzM4D (Scalar px, Scalar py, Scalar pz, Scalar m)
	Constructor from x, y , z , m values.

Scalar	E () const
	Energy.

Scalar	E2 () const
	energy squared

Scalar	Et () const
	transverse energy

Scalar	Et2 () const
	transverse energy squared

Scalar	Eta () const
	pseudorapidity

void	GetCoordinates (Scalar &px, Scalar &py, Scalar &pz, Scalar &m) const
	get internal data into 4 Scalar numbers

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

Scalar	M () const

Scalar	M2 () const
	vector magnitude squared (or mass squared) In case of negative mass (spacelike particles return negative values)

Scalar	Mag () const

Scalar	Mag2 () const

Scalar	Mt () const
	transverse mass

Scalar	Mt2 () const
	transverse mass squared

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.

bool	operator!= (const PxPyPzM4D &rhs) const

template<class AnyCoordSystem >
PxPyPzM4D &	operator= (const AnyCoordSystem &v)
	construct from any 4D coordinate system class implementing X(), Y(), X() and M()

PxPyPzM4D &	operator= (const PxPyPzM4D &v)
	assignment operator

bool	operator== (const PxPyPzM4D &rhs) const
	Exact equality.

Scalar	P () const
	magnitude of spatial components (magnitude of 3-momentum)

Scalar	P2 () const
	squared magnitude of spatial components

Scalar	Perp () const

Scalar	Perp2 () const

Scalar	Phi () const
	azimuthal angle

Scalar	Pt () const
	Transverse spatial component (P_perp or rho)

Scalar	Pt2 () const
	transverse spatial component squared

Scalar	Px () const

Scalar	Py () const

Scalar	Pz () const

Scalar	R () const

Scalar	Rho () const

void	Scale (const Scalar &a)
	scale coordinate values by a scalar quantity a

void	SetCoordinates (const Scalar src[])
	Set internal data based on 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	SetM (Scalar m)
	set T value

void	SetPx (Scalar px)
	set X value

void	SetPxPyPzE (Scalar px, Scalar py, Scalar pz, Scalar e)
	set all values

void	SetPy (Scalar py)
	set Y value

void	SetPz (Scalar pz)
	set Z value

Scalar	T () const

Scalar	t () const

Scalar	Theta () const
	polar angle

Scalar	X () const

Scalar	x () const

Scalar	Y () const

Scalar	y () const

Scalar	Z () const

Scalar	z () const

Static Public Attributes
static constexpr unsigned int	Dimension = 4U

Private Member Functions
void	RestrictNegMass ()

Private Attributes
ScalarType	fM

ScalarType	fX
	(contiguous) data containing the coordinate values x,y,z,t

ScalarType	fY

ScalarType	fZ

#include <Math/GenVector/PxPyPzM4D.h>

Member Typedef Documentation

◆ Scalar

template<class ScalarType = double>

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

Definition at line 53 of file PxPyPzM4D.h.

Constructor & Destructor Documentation

◆ PxPyPzM4D() [1/4]

template<class ScalarType = double>

ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D ( )

inline

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

Definition at line 61 of file PxPyPzM4D.h.

◆ PxPyPzM4D() [2/4]

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 67 of file PxPyPzM4D.h.

◆ PxPyPzM4D() [3/4]

template<class ScalarType = double>

template<class CoordSystem >

constexpr ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D ( const CoordSystem & v )

inlineexplicitconstexpr

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

Definition at line 78 of file PxPyPzM4D.h.

◆ PxPyPzM4D() [4/4]

template<class ScalarType = double>

ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D ( const PxPyPzM4D< ScalarType > & v )

inline

copy constructor

Definition at line 87 of file PxPyPzM4D.h.

Member Function Documentation

◆ E()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::E ( ) const

inline

Energy.

Definition at line 160 of file PxPyPzM4D.h.

◆ E2()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::E2 ( ) const

inline

energy squared

Definition at line 189 of file PxPyPzM4D.h.

◆ Et()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Et ( ) const

inline

transverse energy

Definition at line 241 of file PxPyPzM4D.h.

◆ Et2()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Et2 ( ) const

inline

transverse energy squared

Definition at line 232 of file PxPyPzM4D.h.

◆ Eta()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Eta ( ) const

inline

pseudorapidity

Definition at line 260 of file PxPyPzM4D.h.

◆ GetCoordinates() [1/2]

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 140 of file PxPyPzM4D.h.

◆ GetCoordinates() [2/2]

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 126 of file PxPyPzM4D.h.

◆ M()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::M ( ) const

inline

Definition at line 150 of file PxPyPzM4D.h.

◆ M2()

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 179 of file PxPyPzM4D.h.

◆ Mag()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mag ( ) const

inline

Definition at line 184 of file PxPyPzM4D.h.

◆ Mag2()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mag2 ( ) const

inline

Definition at line 182 of file PxPyPzM4D.h.

◆ Mt()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mt ( ) const

inline

transverse mass

Definition at line 216 of file PxPyPzM4D.h.

◆ Mt2()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mt2 ( ) const

inline

transverse mass squared

Definition at line 211 of file PxPyPzM4D.h.

◆ Negate()

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 305 of file PxPyPzM4D.h.

◆ operator!=()

template<class ScalarType = double>

bool ROOT::Math::PxPyPzM4D< ScalarType >::operator!= ( const PxPyPzM4D< ScalarType > & rhs ) const

inline

Definition at line 329 of file PxPyPzM4D.h.

◆ operator=() [1/2]

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 107 of file PxPyPzM4D.h.

◆ operator=() [2/2]

template<class ScalarType = double>

PxPyPzM4D & ROOT::Math::PxPyPzM4D< ScalarType >::operator= ( const PxPyPzM4D< ScalarType > & v )

inline

assignment operator

Definition at line 93 of file PxPyPzM4D.h.

◆ operator==()

template<class ScalarType = double>

bool ROOT::Math::PxPyPzM4D< ScalarType >::operator== ( const PxPyPzM4D< ScalarType > & rhs ) const

inline

Exact equality.

Definition at line 326 of file PxPyPzM4D.h.

◆ P()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::P ( ) const

inline

magnitude of spatial components (magnitude of 3-momentum)

Definition at line 172 of file PxPyPzM4D.h.

◆ P2()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::P2 ( ) const

inline

squared magnitude of spatial components

Definition at line 167 of file PxPyPzM4D.h.

◆ Perp()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Perp ( ) const

inline

Definition at line 205 of file PxPyPzM4D.h.

◆ Perp2()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Perp2 ( ) const

inline

Definition at line 199 of file PxPyPzM4D.h.

◆ Phi()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Phi ( ) const

inline

azimuthal angle

Definition at line 250 of file PxPyPzM4D.h.

◆ Pt()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Pt ( ) const

inline

Transverse spatial component (P_perp or rho)

Definition at line 204 of file PxPyPzM4D.h.

◆ Pt2()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Pt2 ( ) const

inline

transverse spatial component squared

Definition at line 198 of file PxPyPzM4D.h.

◆ Px()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Px ( ) const

inline

Definition at line 147 of file PxPyPzM4D.h.

◆ Py()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Py ( ) const

inline

Definition at line 148 of file PxPyPzM4D.h.

◆ Pz()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Pz ( ) const

inline

Definition at line 149 of file PxPyPzM4D.h.

◆ R()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::R ( ) const

inline

Definition at line 173 of file PxPyPzM4D.h.

◆ RestrictNegMass()

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::RestrictNegMass ( )

inlineprivate

Definition at line 361 of file PxPyPzM4D.h.

◆ Rho()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Rho ( ) const

inline

Definition at line 206 of file PxPyPzM4D.h.

◆ Scale()

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 315 of file PxPyPzM4D.h.

◆ SetCoordinates() [1/2]

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 118 of file PxPyPzM4D.h.

◆ SetCoordinates() [2/2]

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 132 of file PxPyPzM4D.h.

◆ SetM()

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::SetM ( Scalar m )

inline

set T value

Definition at line 288 of file PxPyPzM4D.h.

◆ SetPx()

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::SetPx ( Scalar px )

inline

set X value

Definition at line 270 of file PxPyPzM4D.h.

◆ SetPxPyPzE()

template<class ScalarType >

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

inline

set all values

Definition at line 396 of file PxPyPzM4D.h.

◆ SetPy()

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::SetPy ( Scalar py )

inline

set Y value

Definition at line 276 of file PxPyPzM4D.h.

◆ SetPz()

template<class ScalarType = double>

void ROOT::Math::PxPyPzM4D< ScalarType >::SetPz ( Scalar pz )

inline

set Z value

Definition at line 282 of file PxPyPzM4D.h.

◆ T()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::T ( ) const

inline

Definition at line 162 of file PxPyPzM4D.h.

◆ t()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::t ( ) const

inline

Definition at line 339 of file PxPyPzM4D.h.

◆ Theta()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Theta ( ) const

inline

polar angle

Definition at line 255 of file PxPyPzM4D.h.

◆ X()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::X ( ) const

inline

Definition at line 152 of file PxPyPzM4D.h.

◆ x()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::x ( ) const

inline

Definition at line 336 of file PxPyPzM4D.h.

◆ Y()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Y ( ) const

inline

Definition at line 153 of file PxPyPzM4D.h.

◆ y()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::y ( ) const

inline

Definition at line 337 of file PxPyPzM4D.h.

◆ Z()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Z ( ) const

inline

Definition at line 154 of file PxPyPzM4D.h.

◆ z()

template<class ScalarType = double>

Scalar ROOT::Math::PxPyPzM4D< ScalarType >::z ( ) const

inline

Definition at line 338 of file PxPyPzM4D.h.

Member Data Documentation

◆ Dimension

template<class ScalarType = double>

constexpr unsigned int ROOT::Math::PxPyPzM4D< ScalarType >::Dimension = 4U

staticconstexpr

Definition at line 54 of file PxPyPzM4D.h.

◆ fM

template<class ScalarType = double>

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

private

Definition at line 378 of file PxPyPzM4D.h.

◆ fX

template<class ScalarType = double>

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

private

(contiguous) data containing the coordinate values x,y,z,t

Definition at line 375 of file PxPyPzM4D.h.

◆ fY

template<class ScalarType = double>

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

private

Definition at line 376 of file PxPyPzM4D.h.

◆ fZ

template<class ScalarType = double>

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

private

Definition at line 377 of file PxPyPzM4D.h.

math/genvector/inc/Math/GenVector/PxPyPzM4D.h

Public Types

Public Member Functions

Static Public Attributes

Private Member Functions

Private Attributes

Member Typedef Documentation

◆ Scalar

Constructor & Destructor Documentation

◆ PxPyPzM4D() [1/4]

◆ PxPyPzM4D() [2/4]

◆ PxPyPzM4D() [3/4]

◆ PxPyPzM4D() [4/4]

Member Function Documentation

◆ E()

◆ E2()

◆ Et()

◆ Et2()

◆ Eta()

◆ GetCoordinates() [1/2]

◆ GetCoordinates() [2/2]

◆ M()

◆ M2()

◆ Mag()

◆ Mag2()

◆ Mt()

◆ Mt2()

◆ Negate()

◆ operator!=()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ operator==()

◆ P()

◆ P2()

◆ Perp()

◆ Perp2()

◆ Phi()

◆ Pt()

◆ Pt2()

◆ Px()

◆ Py()

◆ Pz()

◆ R()

◆ RestrictNegMass()

◆ Rho()

◆ Scale()

◆ SetCoordinates() [1/2]

◆ SetCoordinates() [2/2]

◆ SetM()

◆ SetPx()

◆ SetPxPyPzE()

◆ SetPy()

◆ SetPz()

◆ T()

◆ t()

◆ Theta()

◆ X()

◆ x()

◆ Y()

◆ y()

◆ Z()

◆ z()

Member Data Documentation

◆ Dimension

◆ fM

◆ fX

◆ fY

◆ fZ