Vector4.hh File Reference

#include "Rivet/Math/MathHeader.hh"
#include "Rivet/Math/MathUtils.hh"
#include "Rivet/Math/VectorN.hh"
#include "Rivet/Math/Vector3.hh"

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Classes
class	FourVector
	Specialisation of VectorN to a general (non-momentum) Lorentz 4-vector. More...
class	FourMomentum
	Specialized version of the FourVector with momentum/energy functionality. More...
struct	FourMomentum::byEAscending
	Struct for sorting by increasing energy. More...
struct	FourMomentum::byEDescending
	Struct for sorting by decreasing energy. More...
Namespaces
namespace	Rivet
Typedefs
typedef FourVector	Vector4
Functions
FourVector	transform (const LorentzTransform &lt, const FourVector &v4)
double	contract (const FourVector &a, const FourVector &b)
	Contract two 4-vectors, with metric signature (+ - - -).
double	dot (const FourVector &a, const FourVector &b)
	Contract two 4-vectors, with metric signature (+ - - -).
FourVector	multiply (const double a, const FourVector &v)
FourVector	multiply (const FourVector &v, const double a)
FourVector	operator* (const double a, const FourVector &v)
FourVector	operator* (const FourVector &v, const double a)
FourVector	operator/ (const FourVector &v, const double a)
FourVector	add (const FourVector &a, const FourVector &b)
FourVector	operator+ (const FourVector &a, const FourVector &b)
FourVector	operator- (const FourVector &a, const FourVector &b)
double	invariant (const FourVector &lv)
double	angle (const FourVector &a, const FourVector &b)
	Angle (in radians) between spatial parts of two Lorentz vectors.
double	angle (const Vector3 &a, const FourVector &b)
	Angle (in radians) between spatial parts of two Lorentz vectors.
double	angle (const FourVector &a, const Vector3 &b)
	Angle (in radians) between spatial parts of two Lorentz vectors.
FourMomentum	multiply (const double a, const FourMomentum &v)
FourMomentum	multiply (const FourMomentum &v, const double a)
FourMomentum	operator* (const double a, const FourMomentum &v)
FourMomentum	operator* (const FourMomentum &v, const double a)
FourMomentum	operator/ (const FourMomentum &v, const double a)
FourMomentum	add (const FourMomentum &a, const FourMomentum &b)
FourMomentum	operator+ (const FourMomentum &a, const FourMomentum &b)
FourMomentum	operator- (const FourMomentum &a, const FourMomentum &b)
\f$ \Delta R \f$ calculations from 4-vectors
double	deltaR (const FourVector &a, const FourVector &b, RapScheme scheme=PSEUDORAPIDITY)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between two four-vectors. There is a scheme ambiguity for momentum-type four vectors as to whether the pseudorapidity (a purely geometric concept) or the rapidity (a relativistic energy-momentum quantity) is to be used: this can be chosen via the optional scheme parameter. Use of this scheme option is discouraged in this case since RAPIDITY is only a valid option for vectors whose type is really the FourMomentum derived class.
double	deltaR (const FourVector &v, double eta2, double phi2, RapScheme scheme=PSEUDORAPIDITY)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between two four-vectors. There is a scheme ambiguity for momentum-type four vectors as to whether the pseudorapidity (a purely geometric concept) or the rapidity (a relativistic energy-momentum quantity) is to be used: this can be chosen via the optional scheme parameter.
double	deltaR (double eta1, double phi1, const FourVector &v, RapScheme scheme=PSEUDORAPIDITY)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between two four-vectors. There is a scheme ambiguity for momentum-type four vectors as to whether the pseudorapidity (a purely geometric concept) or the rapidity (a relativistic energy-momentum quantity) is to be used: this can be chosen via the optional scheme parameter.
double	deltaR (const FourMomentum &a, const FourMomentum &b, RapScheme scheme=PSEUDORAPIDITY)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between two four-vectors. There is a scheme ambiguity for momentum-type four vectors as to whether the pseudorapidity (a purely geometric concept) or the rapidity (a relativistic energy-momentum quantity) is to be used: this can be chosen via the optional scheme parameter.
double	deltaR (const FourMomentum &v, double eta2, double phi2, RapScheme scheme=PSEUDORAPIDITY)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between two four-vectors. There is a scheme ambiguity for momentum-type four vectors as to whether the pseudorapidity (a purely geometric concept) or the rapidity (a relativistic energy-momentum quantity) is to be used: this can be chosen via the optional scheme parameter.
double	deltaR (double eta1, double phi1, const FourMomentum &v, RapScheme scheme=PSEUDORAPIDITY)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between two four-vectors. There is a scheme ambiguity for momentum-type four vectors as to whether the pseudorapidity (a purely geometric concept) or the rapidity (a relativistic energy-momentum quantity) is to be used: this can be chosen via the optional scheme parameter.
double	deltaR (const FourMomentum &a, const FourVector &b, RapScheme scheme=PSEUDORAPIDITY)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between two four-vectors. There is a scheme ambiguity for momentum-type four vectors as to whether the pseudorapidity (a purely geometric concept) or the rapidity (a relativistic energy-momentum quantity) is to be used: this can be chosen via the optional scheme parameter.
double	deltaR (const FourVector &a, const FourMomentum &b, RapScheme scheme=PSEUDORAPIDITY)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between two four-vectors. There is a scheme ambiguity for momentum-type four vectors as to whether the pseudorapidity (a purely geometric concept) or the rapidity (a relativistic energy-momentum quantity) is to be used: this can be chosen via the optional scheme parameter.
double	deltaR (const FourMomentum &a, const Vector3 &b)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between a three-vector and a four-vector.
double	deltaR (const Vector3 &a, const FourMomentum &b)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between a three-vector and a four-vector.
double	deltaR (const FourVector &a, const Vector3 &b)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between a three-vector and a four-vector.
double	deltaR (const Vector3 &a, const FourVector &b)
	Calculate the 2D rapidity-azimuthal ("eta-phi") distance between a three-vector and a four-vector.
\f$ \Delta phi \f$ calculations from 4-vectors
double	deltaPhi (const FourMomentum &a, const FourMomentum &b)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (const FourMomentum &v, double phi2)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (double phi1, const FourMomentum &v)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (const FourVector &a, const FourVector &b)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (const FourVector &v, double phi2)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (double phi1, const FourVector &v)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (const FourVector &a, const FourMomentum &b)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (const FourMomentum &a, const FourVector &b)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (const FourVector &a, const Vector3 &b)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (const Vector3 &a, const FourVector &b)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (const FourMomentum &a, const Vector3 &b)
	Calculate the difference in azimuthal angle between two vectors.
double	deltaPhi (const Vector3 &a, const FourMomentum &b)
	Calculate the difference in azimuthal angle between two vectors.
\f$ |\Delta eta| \f$ calculations from 4-vectors
double	deltaEta (const FourMomentum &a, const FourMomentum &b)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (const FourMomentum &v, double eta2)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (double eta1, const FourMomentum &v)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (const FourVector &a, const FourVector &b)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (const FourVector &v, double eta2)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (double eta1, const FourVector &v)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (const FourVector &a, const FourMomentum &b)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (const FourMomentum &a, const FourVector &b)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (const FourVector &a, const Vector3 &b)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (const Vector3 &a, const FourVector &b)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (const FourMomentum &a, const Vector3 &b)
	Calculate the difference in pseudorapidity between two vectors.
double	deltaEta (const Vector3 &a, const FourMomentum &b)
	Calculate the difference in pseudorapidity between two vectors.
\f$ |\Delta y| \f$ calculations from 4-momentum vectors
double	deltaRap (const FourMomentum &a, const FourMomentum &b)
	Calculate the difference in rapidity between two 4-momentum vectors.
double	deltaRap (const FourMomentum &v, double y2)
	Calculate the difference in rapidity between two 4-momentum vectors.
double	deltaRap (double y1, const FourMomentum &v)
	Calculate the difference in rapidity between two 4-momentum vectors.
4-vector comparison functions (for sorting)
bool	cmpMomByPt (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by decreasing pT.
bool	cmpMomByAscPt (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by increasing pT.
bool	cmpMomByP (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by decreasing 3-momentum magnitude |p|.
bool	cmpMomByAscP (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by increasing 3-momentum magnitude |p|.
bool	cmpMomByEt (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by decreasing transverse energy.
bool	cmpMomByAscEt (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by increasing transverse energy.
bool	cmpMomByE (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by decreasing energy.
bool	cmpMomByAscE (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by increasing energy.
bool	cmpMomByEta (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by increasing eta (pseudorapidity)
bool	cmpMomByAscPseudorapidity (const FourMomentum &a, const FourMomentum &b)
bool	cmpMomByDescEta (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by decreasing eta (pseudorapidity)
bool	cmpMomByDescPseudorapidity (const FourMomentum &a, const FourMomentum &b)
bool	cmpMomByAbsEta (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by increasing absolute eta (pseudorapidity)
bool	cmpMomByAscAbsPseudorapidity (const FourMomentum &a, const FourMomentum &b)
bool	cmpMomByDescAbsEta (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by increasing absolute eta (pseudorapidity)
bool	cmpMomByDescAbsPseudorapidity (const FourMomentum &a, const FourMomentum &b)
bool	cmpMomByRap (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by increasing rapidity.
bool	cmpMomByAscRapidity (const FourMomentum &a, const FourMomentum &b)
bool	cmpMomByDescRap (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by decreasing rapidity.
bool	cmpMomByDescRapidity (const FourMomentum &a, const FourMomentum &b)
bool	cmpMomByAbsRap (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by increasing absolute rapidity.
bool	cmpMomByAscAbsRapidity (const FourMomentum &a, const FourMomentum &b)
bool	cmpMomByDescAbsRap (const FourMomentum &a, const FourMomentum &b)
	Comparison to give a sorting by decreasing absolute rapidity.
bool	cmpMomByDescAbsRapidity (const FourMomentum &a, const FourMomentum &b)
template<typename MOMS , typename CMP >
MOMS &	sortBy (MOMS &pbs, const CMP &cmp)
	Sort a container of momenta by cmp and return by reference for non-const inputs.
template<typename MOMS , typename CMP >
MOMS	sortBy (const MOMS &pbs, const CMP &cmp)
	Sort a container of momenta by cmp and return by value for const inputs.
template<typename MOMS >
MOMS &	sortByPt (MOMS &pbs)
	Sort a container of momenta by pT (decreasing) and return by reference for non-const inputs.
template<typename MOMS >
MOMS	sortByPt (const MOMS &pbs)
	Sort a container of momenta by pT (decreasing) and return by value for const inputs.
template<typename MOMS >
MOMS &	sortByE (MOMS &pbs)
	Sort a container of momenta by E (decreasing) and return by reference for non-const inputs.
template<typename MOMS >
MOMS	sortByE (const MOMS &pbs)
	Sort a container of momenta by E (decreasing) and return by value for const inputs.
template<typename MOMS >
MOMS &	sortByEt (MOMS &pbs)
	Sort a container of momenta by Et (decreasing) and return by reference for non-const inputs.
template<typename MOMS >
MOMS	sortByEt (const MOMS &pbs)
	Sort a container of momenta by Et (decreasing) and return by value for const inputs.
4-vector string representations
std::string	toString (const FourVector &lv)
	Render a 4-vector as a string.
std::ostream &	operator<< (std::ostream &out, const FourVector &lv)
	Write a 4-vector to an ostream.