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

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 PxPyPzM4D.h.

Public Types

typedef ScalarType Scalar
 

Public Member Functions

 PxPyPzM4D ()
 Default constructor with x=y=z=m=0. More...
 
 PxPyPzM4D (Scalar px, Scalar py, Scalar pz, Scalar m)
 Constructor from x, y , z , m values. More...
 
template<class CoordSystem >
 PxPyPzM4D (const CoordSystem &v)
 construct from any 4D coordinate system class implementing X(), Y(), X() and M() More...
 
 PxPyPzM4D (const PxPyPzM4D &v)
 copy constructor More...
 
PxPyPzM4D & operator= (const PxPyPzM4D &v)
 assignment operator More...
 
template<class AnyCoordSystem >
PxPyPzM4D & operator= (const AnyCoordSystem &v)
 construct from any 4D coordinate system class implementing X(), Y(), X() and M() More...
 
void SetCoordinates (const Scalar src[])
 Set internal data based on an array of 4 Scalar numbers. More...
 
void GetCoordinates (Scalar dest[]) const
 get internal data into an array of 4 Scalar numbers More...
 
void SetCoordinates (Scalar px, Scalar py, Scalar pz, Scalar m)
 Set internal data based on 4 Scalar numbers. More...
 
void GetCoordinates (Scalar &px, Scalar &py, Scalar &pz, Scalar &m) const
 get internal data into 4 Scalar numbers More...
 
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. More...
 
Scalar T () const
 
Scalar P2 () const
 squared magnitude of spatial components More...
 
Scalar P () const
 magnitude of spatial components (magnitude of 3-momentum) More...
 
Scalar R () const
 
Scalar M2 () const
 vector magnitude squared (or mass squared) In case of negative mass (spacelike particles return negative values) More...
 
Scalar Mag2 () const
 
Scalar Mag () const
 
Scalar E2 () const
 energy squared More...
 
Scalar Pt2 () const
 transverse spatial component squared More...
 
Scalar Perp2 () const
 
Scalar Pt () const
 Transverse spatial component (P_perp or rho) More...
 
Scalar Perp () const
 
Scalar Rho () const
 
Scalar Mt2 () const
 transverse mass squared More...
 
Scalar Mt () const
 transverse mass More...
 
Scalar Et2 () const
 transverse energy squared More...
 
Scalar Et () const
 transverse energy More...
 
Scalar Phi () const
 azimuthal angle More...
 
Scalar Theta () const
 polar angle More...
 
Scalar Eta () const
 pseudorapidity More...
 
void SetPx (Scalar px)
 set X value More...
 
void SetPy (Scalar py)
 set Y value More...
 
void SetPz (Scalar pz)
 set Z value More...
 
void SetM (Scalar m)
 set T value More...
 
void SetPxPyPzE (Scalar px, Scalar py, Scalar pz, Scalar e)
 set all values More...
 
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. More...
 
void Scale (const Scalar &a)
 scale coordinate values by a scalar quantity a More...
 
bool operator== (const PxPyPzM4D &rhs) const
 Exact equality. More...
 
bool operator!= (const PxPyPzM4D &rhs) const
 
Scalar x () const
 
Scalar y () const
 
Scalar z () const
 
Scalar t () const
 

Private Member Functions

void RestrictNegMass ()
 

Private Attributes

ScalarType fX
 (contigous) data containing the coordinate values x,y,z,t More...
 
ScalarType fY
 
ScalarType fZ
 
ScalarType fM
 

#include <Math/GenVector/PxPyPzM4D.h>

Member Typedef Documentation

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

Definition at line 55 of file 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 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 PxPyPzM4D.h.

template<class ScalarType = double>
template<class CoordSystem >
ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D ( const CoordSystem &  v)
inlineexplicit

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

Definition at line 79 of file PxPyPzM4D.h.

template<class ScalarType = double>
ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D ( const PxPyPzM4D< ScalarType > &  v)
inline

copy constructor

Definition at line 88 of file PxPyPzM4D.h.

Member Function Documentation

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::E ( ) const
inline

Energy.

Definition at line 161 of file PxPyPzM4D.h.

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 PxPyPzM4D.h.

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 PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Et2 ( ) const
inline

transverse energy squared

Definition at line 231 of file PxPyPzM4D.h.

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 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 PxPyPzM4D.h.

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 PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::M ( ) const
inline

Definition at line 151 of file 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 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 PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mag2 ( ) const
inline

Definition at line 183 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mt ( ) const
inline

transverse mass

Definition at line 217 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Mt2 ( ) const
inline

transverse mass squared

Definition at line 212 of file PxPyPzM4D.h.

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 PxPyPzM4D.h.

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

Definition at line 331 of file 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 PxPyPzM4D.h.

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 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 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 PxPyPzM4D.h.

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

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::P2 ( ) const
inline

squared magnitude of spatial components

Definition at line 168 of file PxPyPzM4D.h.

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

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Perp ( ) const
inline

Definition at line 206 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Perp2 ( ) const
inline

Definition at line 200 of file PxPyPzM4D.h.

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 PxPyPzM4D.h.

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 PxPyPzM4D.h.

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 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 PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Py ( ) const
inline

Definition at line 149 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Pz ( ) const
inline

Definition at line 150 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::R ( ) const
inline

Definition at line 174 of file PxPyPzM4D.h.

template<class ScalarType = double>
void ROOT::Math::PxPyPzM4D< ScalarType >::RestrictNegMass ( )
inlineprivate

Definition at line 363 of file PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D(), ROOT::Math::PxPyPzM4D< ScalarType >::SetCoordinates(), and ROOT::Math::PxPyPzM4D< ScalarType >::SetM().

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Rho ( ) const
inline

Definition at line 207 of file PxPyPzM4D.h.

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 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 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 PxPyPzM4D.h.

template<class ScalarType = double>
void ROOT::Math::PxPyPzM4D< ScalarType >::SetM ( Scalar  m)
inline

set T value

Definition at line 290 of file PxPyPzM4D.h.

template<class ScalarType = double>
void ROOT::Math::PxPyPzM4D< ScalarType >::SetPx ( Scalar  px)
inline

set X value

Definition at line 272 of file 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 PxPyPzM4D.h.

template<class ScalarType = double>
void ROOT::Math::PxPyPzM4D< ScalarType >::SetPy ( Scalar  py)
inline

set Y value

Definition at line 278 of file PxPyPzM4D.h.

template<class ScalarType = double>
void ROOT::Math::PxPyPzM4D< ScalarType >::SetPz ( Scalar  pz)
inline

set Z value

Definition at line 284 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::T ( ) const
inline

Definition at line 163 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::t ( ) const
inline

Definition at line 341 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Theta ( ) const
inline

polar angle

Definition at line 255 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::X ( ) const
inline

Definition at line 153 of file PxPyPzM4D.h.

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

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::x ( ) const
inline

Definition at line 338 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Y ( ) const
inline

Definition at line 154 of file PxPyPzM4D.h.

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

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::y ( ) const
inline

Definition at line 339 of file PxPyPzM4D.h.

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::Z ( ) const
inline

Definition at line 155 of file PxPyPzM4D.h.

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

template<class ScalarType = double>
Scalar ROOT::Math::PxPyPzM4D< ScalarType >::z ( ) const
inline

Definition at line 340 of file PxPyPzM4D.h.

Member Data Documentation

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

Definition at line 380 of file PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::GetCoordinates(), ROOT::Math::PxPyPzM4D< ScalarType >::M(), ROOT::Math::PxPyPzM4D< ScalarType >::M2(), ROOT::Math::PxPyPzM4D< ScalarType >::operator=(), ROOT::Math::PxPyPzM4D< ScalarType >::operator==(), ROOT::Math::PxPyPzM4D< ScalarType >::PxPyPzM4D(), ROOT::Math::PxPyPzM4D< ScalarType >::RestrictNegMass(), ROOT::Math::PxPyPzM4D< ScalarType >::Scale(), ROOT::Math::PxPyPzM4D< ScalarType >::SetCoordinates(), and ROOT::Math::PxPyPzM4D< ScalarType >::SetM().

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

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

Definition at line 377 of file PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::GetCoordinates(), ROOT::Math::PxPyPzM4D< ScalarType >::Negate(), ROOT::Math::PxPyPzM4D< ScalarType >::operator=(), ROOT::Math::PxPyPzM4D< ScalarType >::operator==(), ROOT::Math::PxPyPzM4D< ScalarType >::P2(), ROOT::Math::PxPyPzM4D< ScalarType >::Phi(), ROOT::Math::PxPyPzM4D< ScalarType >::Pt2(), ROOT::Math::PxPyPzM4D< ScalarType >::Px(), ROOT::Math::PxPyPzM4D< ScalarType >::Scale(), ROOT::Math::PxPyPzM4D< ScalarType >::SetCoordinates(), ROOT::Math::PxPyPzM4D< ScalarType >::SetPx(), ROOT::Math::PxPyPzM4D< ScalarType >::Theta(), and ROOT::Math::PxPyPzM4D< ScalarType >::X().

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

Definition at line 378 of file PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::GetCoordinates(), ROOT::Math::PxPyPzM4D< ScalarType >::Negate(), ROOT::Math::PxPyPzM4D< ScalarType >::operator=(), ROOT::Math::PxPyPzM4D< ScalarType >::operator==(), ROOT::Math::PxPyPzM4D< ScalarType >::P2(), ROOT::Math::PxPyPzM4D< ScalarType >::Phi(), ROOT::Math::PxPyPzM4D< ScalarType >::Pt2(), ROOT::Math::PxPyPzM4D< ScalarType >::Py(), ROOT::Math::PxPyPzM4D< ScalarType >::Scale(), ROOT::Math::PxPyPzM4D< ScalarType >::SetCoordinates(), ROOT::Math::PxPyPzM4D< ScalarType >::SetPy(), ROOT::Math::PxPyPzM4D< ScalarType >::Theta(), and ROOT::Math::PxPyPzM4D< ScalarType >::Y().

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

Definition at line 379 of file PxPyPzM4D.h.

Referenced by ROOT::Math::PxPyPzM4D< ScalarType >::Et2(), ROOT::Math::PxPyPzM4D< ScalarType >::Eta(), ROOT::Math::PxPyPzM4D< ScalarType >::GetCoordinates(), ROOT::Math::PxPyPzM4D< ScalarType >::Mt2(), ROOT::Math::PxPyPzM4D< ScalarType >::Negate(), ROOT::Math::PxPyPzM4D< ScalarType >::operator=(), ROOT::Math::PxPyPzM4D< ScalarType >::operator==(), ROOT::Math::PxPyPzM4D< ScalarType >::P2(), ROOT::Math::PxPyPzM4D< ScalarType >::Pz(), ROOT::Math::PxPyPzM4D< ScalarType >::Scale(), ROOT::Math::PxPyPzM4D< ScalarType >::SetCoordinates(), ROOT::Math::PxPyPzM4D< ScalarType >::SetPz(), ROOT::Math::PxPyPzM4D< ScalarType >::Theta(), and ROOT::Math::PxPyPzM4D< ScalarType >::Z().

Collaboration diagram for ROOT::Math::PxPyPzM4D< ScalarType >:
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The documentation for this class was generated from the following file: