template<class ScalarType = double>
class ROOT::ROOT_MATH_ARCH::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: Physics Vectors

Definition at line 54 of file PxPyPzM4D.h.

Public Types
typedef ScalarType	Scalar

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

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

	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()

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

Private Member Functions
void	RestrictNegMass ()

Private Attributes
ScalarType	fM = 0

ScalarType	fX = 0
	(contiguous) data containing the coordinate values x,y,z,t

ScalarType	fY = 0

ScalarType	fZ = 0

#include <MathX/GenVectorX/PxPyPzM4D.h>

Member Typedef Documentation

◆ Scalar

template<class ScalarType = double>

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

Definition at line 57 of file PxPyPzM4D.h.

Constructor & Destructor Documentation

◆ PxPyPzM4D() [1/3]

template<class ScalarType = double>

constexpr ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::PxPyPzM4D ( )

constexprdefaultnoexcept

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

◆ PxPyPzM4D() [2/3]

template<class ScalarType = double>

ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::PxPyPzM4D	(	Scalar	px,
		Scalar	py,
		Scalar	pz,
		Scalar	m )

inline

Constructor from x, y , z , m values.

Definition at line 69 of file PxPyPzM4D.h.

◆ PxPyPzM4D() [3/3]

template<class ScalarType = double>

template<class CoordSystem >

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

inlineexplicit

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

Definition at line 81 of file PxPyPzM4D.h.

Member Function Documentation

◆ E()

template<class ScalarType = double>

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

inline

Energy.

Definition at line 164 of file PxPyPzM4D.h.

◆ E2()

template<class ScalarType = double>

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

inline

energy squared

Definition at line 191 of file PxPyPzM4D.h.

◆ Et()

template<class ScalarType = double>

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

inline

transverse energy

Definition at line 246 of file PxPyPzM4D.h.

◆ Et2()

template<class ScalarType = double>

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

inline

transverse energy squared

Definition at line 236 of file PxPyPzM4D.h.

◆ Eta()

template<class ScalarType = double>

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

inline

pseudorapidity

Definition at line 265 of file PxPyPzM4D.h.

◆ GetCoordinates() [1/2]

template<class ScalarType = double>

void ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::GetCoordinates	(	Scalar &	px,
		Scalar &	py,
		Scalar &	pz,
		Scalar &	m ) const

inline

get internal data into 4 Scalar numbers

Definition at line 139 of file PxPyPzM4D.h.

◆ GetCoordinates() [2/2]

template<class ScalarType = double>

void ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::GetCoordinates ( Scalar dest[] ) const

inline

get internal data into an array of 4 Scalar numbers

Definition at line 115 of file PxPyPzM4D.h.

◆ M()

template<class ScalarType = double>

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

inline

Definition at line 154 of file PxPyPzM4D.h.

◆ M2()

template<class ScalarType = double>

Scalar ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::M2 ( ) const

inline

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

Definition at line 183 of file PxPyPzM4D.h.

◆ Mag()

template<class ScalarType = double>

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

inline

Definition at line 186 of file PxPyPzM4D.h.

◆ Mag2()

template<class ScalarType = double>

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

inline

Definition at line 184 of file PxPyPzM4D.h.

◆ Mt()

template<class ScalarType = double>

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

inline

transverse mass

Definition at line 219 of file PxPyPzM4D.h.

◆ Mt2()

template<class ScalarType = double>

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

inline

transverse mass squared

Definition at line 214 of file PxPyPzM4D.h.

◆ Negate()

template<class ScalarType = double>

void ROOT::ROOT_MATH_ARCH::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 303 of file PxPyPzM4D.h.

◆ operator!=()

template<class ScalarType = double>

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

inline

Definition at line 328 of file PxPyPzM4D.h.

◆ operator=()

template<class ScalarType = double>

template<class AnyCoordSystem >

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

inline

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

Definition at line 90 of file PxPyPzM4D.h.

◆ operator==()

template<class ScalarType = double>

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

inline

Exact equality.

Definition at line 327 of file PxPyPzM4D.h.

◆ P()

template<class ScalarType = double>

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

inline

magnitude of spatial components (magnitude of 3-momentum)

Definition at line 176 of file PxPyPzM4D.h.

◆ P2()

template<class ScalarType = double>

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

inline

squared magnitude of spatial components

Definition at line 171 of file PxPyPzM4D.h.

◆ Perp()

template<class ScalarType = double>

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

inline

Definition at line 208 of file PxPyPzM4D.h.

◆ Perp2()

template<class ScalarType = double>

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

inline

Definition at line 202 of file PxPyPzM4D.h.

◆ Phi()

template<class ScalarType = double>

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

inline

azimuthal angle

Definition at line 255 of file PxPyPzM4D.h.

◆ Pt()

template<class ScalarType = double>

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

inline

Transverse spatial component (P_perp or rho)

Definition at line 207 of file PxPyPzM4D.h.

◆ Pt2()

template<class ScalarType = double>

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

inline

transverse spatial component squared

Definition at line 201 of file PxPyPzM4D.h.

◆ Px()

template<class ScalarType = double>

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

inline

Definition at line 151 of file PxPyPzM4D.h.

◆ Py()

template<class ScalarType = double>

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

inline

Definition at line 152 of file PxPyPzM4D.h.

◆ Pz()

template<class ScalarType = double>

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

inline

Definition at line 153 of file PxPyPzM4D.h.

◆ R()

template<class ScalarType = double>

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

inline

Definition at line 177 of file PxPyPzM4D.h.

◆ RestrictNegMass()

template<class ScalarType = double>

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

inlineprivate

Definition at line 356 of file PxPyPzM4D.h.

◆ Rho()

template<class ScalarType = double>

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

inline

Definition at line 209 of file PxPyPzM4D.h.

◆ Scale()

template<class ScalarType = double>

void ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::Scale ( const Scalar & a )

inline

scale coordinate values by a scalar quantity a

Definition at line 316 of file PxPyPzM4D.h.

◆ SetCoordinates() [1/2]

template<class ScalarType = double>

void ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::SetCoordinates ( const Scalar src[] )

inline

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

Definition at line 102 of file PxPyPzM4D.h.

◆ SetCoordinates() [2/2]

template<class ScalarType = double>

void ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::SetCoordinates	(	Scalar	px,
		Scalar	py,
		Scalar	pz,
		Scalar	m )

inline

Set internal data based on 4 Scalar numbers.

Definition at line 126 of file PxPyPzM4D.h.

◆ SetM()

template<class ScalarType = double>

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

inline

set T value

Definition at line 284 of file PxPyPzM4D.h.

◆ SetPx()

template<class ScalarType = double>

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

inline

set X value

Definition at line 272 of file PxPyPzM4D.h.

◆ SetPxPyPzE()

template<class ScalarType >

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

inline

set all values

Definition at line 392 of file PxPyPzM4D.h.

◆ SetPy()

template<class ScalarType = double>

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

inline

set Y value

Definition at line 276 of file PxPyPzM4D.h.

◆ SetPz()

template<class ScalarType = double>

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

inline

set Z value

Definition at line 280 of file PxPyPzM4D.h.

◆ T()

template<class ScalarType = double>

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

inline

Definition at line 166 of file PxPyPzM4D.h.

◆ t()

template<class ScalarType = double>

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

inline

Definition at line 337 of file PxPyPzM4D.h.

◆ Theta()

template<class ScalarType = double>

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

inline

polar angle

Definition at line 260 of file PxPyPzM4D.h.

◆ X()

template<class ScalarType = double>

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

inline

Definition at line 156 of file PxPyPzM4D.h.

◆ x()

template<class ScalarType = double>

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

inline

Definition at line 334 of file PxPyPzM4D.h.

◆ Y()

template<class ScalarType = double>

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

inline

Definition at line 157 of file PxPyPzM4D.h.

◆ y()

template<class ScalarType = double>

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

inline

Definition at line 335 of file PxPyPzM4D.h.

◆ Z()

template<class ScalarType = double>

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

inline

Definition at line 158 of file PxPyPzM4D.h.

◆ z()

template<class ScalarType = double>

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

inline

Definition at line 336 of file PxPyPzM4D.h.

Member Data Documentation

◆ fM

template<class ScalarType = double>

ScalarType ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::fM = 0

private

Definition at line 376 of file PxPyPzM4D.h.

◆ fX

template<class ScalarType = double>

ScalarType ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::fX = 0

private

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

Definition at line 373 of file PxPyPzM4D.h.

◆ fY

template<class ScalarType = double>

ScalarType ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::fY = 0

private

Definition at line 374 of file PxPyPzM4D.h.

◆ fZ

template<class ScalarType = double>

ScalarType ROOT::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >::fZ = 0

private

Definition at line 375 of file PxPyPzM4D.h.

math/experimental/genvectorx/inc/MathX/GenVectorX/PxPyPzM4D.h

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Member Typedef Documentation

◆ Scalar

Constructor & Destructor Documentation

◆ PxPyPzM4D() [1/3]

◆ PxPyPzM4D() [2/3]

◆ PxPyPzM4D() [3/3]

Member Function Documentation

◆ E()

◆ E2()

◆ Et()

◆ Et2()

◆ Eta()

◆ GetCoordinates() [1/2]

◆ GetCoordinates() [2/2]

◆ M()

◆ M2()

◆ Mag()

◆ Mag2()

◆ Mt()

◆ Mt2()

◆ Negate()

◆ operator!=()

◆ operator=()

◆ 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

◆ fM

◆ fX

◆ fY

◆ fZ