Class representing a Lorentz Boost along the X axis, by beta.

For efficiency, gamma is held as well.

See also: Overview of the physics vector library

Definition at line 39 of file BoostX.h.

Public Types
enum	EBoostMatrixIndex { kXX = 0 , kXY = 1 , kXZ = 2 , kXT = 3 , kYY = 4 , kYZ = 5 , kYT = 6 , kZZ = 7 , kZT = 8 , kTT = 9 }

enum	ELorentzRotationMatrixIndex { kLXX = 0 , kLXY = 1 , kLXZ = 2 , kLXT = 3 , kLYX = 4 , kLYY = 5 , kLYZ = 6 , kLYT = 7 , kLZX = 8 , kLZY = 9 , kLZZ = 10 , kLZT = 11 , kLTX = 12 , kLTY = 13 , kLTZ = 14 , kLTT = 15 }

typedef double	Scalar

typedef DisplacementVector3D< Cartesian3D< double >, DefaultCoordinateSystemTag >	XYZVector
	The beta vector for this boost.

Public Member Functions
	BoostX ()
	Default constructor (identity transformation)

	BoostX (Scalar beta_x)
	Construct given a Scalar beta_x.

Scalar	Beta () const
	Retrieve the beta of the Boost.

XYZVector	BetaVector () const

Scalar	Gamma () const
	Retrieve the gamma of the Boost.

void	GetComponents (Scalar &beta_x) const
	Get components into a Scalar beta_x.

void	GetLorentzRotation (Scalar r[]) const
	Get elements of internal 4x4 symmetric representation, into a data array suitable for direct use as the components of a LorentzRotation Note – 16 Scalars will be written into the array; if the array is not that large, then this will lead to undefined behavior.

BoostX	Inverse () const
	Return inverse of a boost.

void	Invert ()
	Invert a BoostX in place.

bool	operator!= (const BoostX &rhs) const

template<class Foreign4Vector >
Foreign4Vector	operator() (const Foreign4Vector &v) const
	Lorentz transformation operation on an arbitrary 4-vector v.

template<class CoordSystem >
LorentzVector< CoordSystem >	operator() (const LorentzVector< CoordSystem > &v) const
	Lorentz transformation operation on a LorentzVector in any coordinate system.

LorentzVector< ROOT::Math::PxPyPzE4D< double > >	operator() (const LorentzVector< ROOT::Math::PxPyPzE4D< double > > &v) const
	Lorentz transformation operation on a Minkowski ('Cartesian') LorentzVector.

template<class A4Vector >
A4Vector	operator* (const A4Vector &v) const
	Overload operator * for operation on a vector.

bool	operator== (const BoostX &rhs) const
	Equality/inequality operators.

void	Rectify ()
	Re-adjust components to eliminate small deviations from a perfect orthosyplectic matrix.

void	SetBeta (Scalar beta)
	Set the given beta of the Boost.

void	SetComponents (Scalar beta_x)
	Set components from a Scalar beta_x.

Private Attributes
Scalar	fBeta

Scalar	fGamma

#include <Math/GenVector/BoostX.h>

Member Typedef Documentation

◆ Scalar

typedef double ROOT::Math::BoostX::Scalar

Definition at line 43 of file BoostX.h.

◆ XYZVector

typedef DisplacementVector3D<Cartesian3D<double>, DefaultCoordinateSystemTag > ROOT::Math::BoostX::XYZVector

The beta vector for this boost.

Definition at line 113 of file BoostX.h.

Member Enumeration Documentation

◆ EBoostMatrixIndex

enum ROOT::Math::BoostX::EBoostMatrixIndex

Enumerator
kXX
kXY
kXZ
kXT
kYY
kYZ
kYT
kZZ
kZT
kTT

Definition at line 52 of file BoostX.h.

◆ ELorentzRotationMatrixIndex

enum ROOT::Math::BoostX::ELorentzRotationMatrixIndex

Enumerator
kLXX
kLXY
kLXZ
kLXT
kLYX
kLYY
kLYZ
kLYT
kLZX
kLZY
kLZZ
kLZT
kLTX
kLTY
kLTZ
kLTT

Definition at line 45 of file BoostX.h.

Constructor & Destructor Documentation

◆ BoostX() [1/2]

ROOT::Math::BoostX::BoostX ( )

Default constructor (identity transformation)

Definition at line 31 of file BoostX.cxx.

◆ BoostX() [2/2]

ROOT::Math::BoostX::BoostX ( Scalar beta_x )

inlineexplicit

Construct given a Scalar beta_x.

Definition at line 69 of file BoostX.h.

Member Function Documentation

◆ Beta()

Scalar ROOT::Math::BoostX::Beta ( ) const

inline

Retrieve the beta of the Boost.

Definition at line 98 of file BoostX.h.

◆ BetaVector()

DisplacementVector3D< Cartesian3D< BoostX::Scalar > > ROOT::Math::BoostX::BetaVector ( ) const

Definition at line 51 of file BoostX.cxx.

◆ Gamma()

Scalar ROOT::Math::BoostX::Gamma ( ) const

inline

Retrieve the gamma of the Boost.

Definition at line 103 of file BoostX.h.

◆ GetComponents()

void ROOT::Math::BoostX::GetComponents ( Scalar & beta_x ) const

Get components into a Scalar beta_x.

Definition at line 45 of file BoostX.cxx.

◆ GetLorentzRotation()

void ROOT::Math::BoostX::GetLorentzRotation ( Scalar r[] ) const

Get elements of internal 4x4 symmetric representation, into a data array suitable for direct use as the components of a LorentzRotation Note – 16 Scalars will be written into the array; if the array is not that large, then this will lead to undefined behavior.

Definition at line 56 of file BoostX.cxx.

◆ Inverse()

BoostX ROOT::Math::BoostX::Inverse ( ) const

Return inverse of a boost.

Definition at line 99 of file BoostX.cxx.

◆ Invert()

void ROOT::Math::BoostX::Invert ( )

Invert a BoostX in place.

Definition at line 94 of file BoostX.cxx.

◆ operator!=()

bool ROOT::Math::BoostX::operator!= ( const BoostX & rhs ) const

inline

Definition at line 188 of file BoostX.h.

◆ operator()() [1/3]

template<class Foreign4Vector >

Foreign4Vector ROOT::Math::BoostX::operator() ( const Foreign4Vector & v ) const

inline

Lorentz transformation operation on an arbitrary 4-vector v.

Preconditions: v must implement methods x(), y(), z(), and t() and the arbitrary vector type must have a constructor taking (x,y,z,t)

Definition at line 153 of file BoostX.h.

◆ operator()() [2/3]

template<class CoordSystem >

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

inline

Lorentz transformation operation on a LorentzVector in any coordinate system.

Definition at line 140 of file BoostX.h.

◆ operator()() [3/3]

LorentzVector< PxPyPzE4D< double > > ROOT::Math::BoostX::operator() ( const LorentzVector< ROOT::Math::PxPyPzE4D< double > > & v ) const

Lorentz transformation operation on a Minkowski ('Cartesian') LorentzVector.

Definition at line 83 of file BoostX.cxx.

◆ operator*()

template<class A4Vector >

A4Vector ROOT::Math::BoostX::operator* ( const A4Vector & v ) const

inline

Overload operator * for operation on a vector.

Definition at line 164 of file BoostX.h.

◆ operator==()

bool ROOT::Math::BoostX::operator== ( const BoostX & rhs ) const

inline

Equality/inequality operators.

Definition at line 182 of file BoostX.h.

◆ Rectify()

void ROOT::Math::BoostX::Rectify ( )

Re-adjust components to eliminate small deviations from a perfect orthosyplectic matrix.

Definition at line 64 of file BoostX.cxx.

◆ SetBeta()

void ROOT::Math::BoostX::SetBeta ( Scalar beta )

inline

Set the given beta of the Boost.

Definition at line 108 of file BoostX.h.

◆ SetComponents()

void ROOT::Math::BoostX::SetComponents ( Scalar beta_x )

Set components from a Scalar beta_x.

Definition at line 33 of file BoostX.cxx.

Member Data Documentation

◆ fBeta

Scalar ROOT::Math::BoostX::fBeta

private

Definition at line 194 of file BoostX.h.

◆ fGamma

Scalar ROOT::Math::BoostX::fGamma

private

Definition at line 195 of file BoostX.h.

Libraries for ROOT::Math::BoostX:

[legend]

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

math/genvector/inc/Math/GenVector/BoostX.h
math/genvector/src/BoostX.cxx

Public Types

Public Member Functions

Private Attributes

Member Typedef Documentation

◆ Scalar

◆ XYZVector

Member Enumeration Documentation

◆ EBoostMatrixIndex

◆ ELorentzRotationMatrixIndex

Constructor & Destructor Documentation

◆ BoostX() [1/2]

◆ BoostX() [2/2]

Member Function Documentation

◆ Beta()

◆ BetaVector()

◆ Gamma()

◆ GetComponents()

◆ GetLorentzRotation()

◆ Inverse()

◆ Invert()

◆ operator!=()

◆ operator()() [1/3]

◆ operator()() [2/3]

◆ operator()() [3/3]

◆ operator*()

◆ operator==()

◆ Rectify()

◆ SetBeta()

◆ SetComponents()

Member Data Documentation

◆ fBeta

◆ fGamma