#include <Basics.h>

Public Member Functions
	Vec4 (double xIn=0., double yIn=0., double zIn=0., double tIn=0.)
	Constructors.

	Vec4 (const Vec4 &v)

Vec4 &	operator= (const Vec4 &v)

Vec4 &	operator= (double value)

void	reset ()
	Member functions for input.

void	p (double xIn, double yIn, double zIn, double tIn)

void	p (Vec4 pIn)

void	px (double xIn)

void	py (double yIn)

void	pz (double zIn)

void	e (double tIn)

double	px () const
	Member functions for output.

double	py () const

double	pz () const

double	e () const

double &	operator[] (int i)

double	mCalc () const

double	m2Calc () const

double	pT () const

double	pT2 () const

double	pAbs () const

double	pAbs2 () const

double	eT () const

double	eT2 () const

double	theta () const

double	phi () const

double	thetaXZ () const

double	pPos () const

double	pNeg () const

double	rap () const

double	eta () const

void	rescale3 (double fac)
	Member functions that perform operations.

void	rescale4 (double fac)

void	flip3 ()

void	flip4 ()

void	rot (double thetaIn, double phiIn)
	Rotation (simple).

void	rotaxis (double phiIn, double nx, double ny, double nz)
	Azimuthal rotation phi around an arbitrary axis (nz, ny, nz).

void	rotaxis (double phiIn, const Vec4 &n)
	Azimuthal rotation phi around an arbitrary (3-vector component of) axis.

void	bst (double betaX, double betaY, double betaZ)
	Boost (simple).

void	bst (double betaX, double betaY, double betaZ, double gamma)
	Boost (simple, given gamma).

void	bst (const Vec4 &pIn)
	Boost given by a Vec4 p.

void	bst (const Vec4 &pIn, double mIn)
	Boost given by a Vec4 p and double m.

void	bstback (const Vec4 &pIn)
	Boost given by a Vec4 p; boost in opposite direction.

void	bstback (const Vec4 &pIn, double mIn)
	Boost given by a Vec4 p and double m; boost in opposite direction.

void	rotbst (const RotBstMatrix &M)
	Arbitrary combination of rotations and boosts defined by 4 * 4 matrix.

Vec4	operator- () const
	Operator overloading with member functions.

Vec4 &	operator+= (const Vec4 &v)

Vec4 &	operator-= (const Vec4 &v)

Vec4 &	*operator=** (double f)

Vec4 &	operator/= (double f)

Vec4	operator+ (const Vec4 &v) const

Vec4	operator- (const Vec4 &v) const

Vec4	operator* (double f) const

Vec4	operator/ (double f) const

double	operator* (const Vec4 &v) const

Friends
Vec4	operator* (double f, const Vec4 &v1)
	Operator overloading with friends. More...

ostream &	operator<< (ostream &, const Vec4 &v)
	Print a four-vector. More...

bool	isnan (const Vec4 &v)
	Check if NaN, INF, or finite.

bool	isinf (const Vec4 &v)

bool	isfinite (const Vec4 &v)

double	m (const Vec4 &v1)
	Invariant mass and its square. More...

double	m (const Vec4 &v1, const Vec4 &v2)

double	m2 (const Vec4 &v1)
	The squared invariant mass of one or more four-vectors.

double	m2 (const Vec4 &v1, const Vec4 &v2)

double	m2 (const Vec4 &v1, const Vec4 &v2, const Vec4 &v3)

double	m2 (const Vec4 &v1, const Vec4 &v2, const Vec4 &v3, const Vec4 &v4)

double	dot3 (const Vec4 &v1, const Vec4 &v2)
	Scalar and cross product of 3-vector parts. More...

Vec4	cross3 (const Vec4 &v1, const Vec4 &v2)
	The cross product of two three-vectors.

Vec4	cross4 (const Vec4 &a, const Vec4 &b, const Vec4 &c)
	Cross-product of three 4-vectors ( p_i = epsilon_{iabc} p_a p_b p_c). More...

double	theta (const Vec4 &v1, const Vec4 &v2)
	theta is polar angle between v1 and v2. More...

double	costheta (const Vec4 &v1, const Vec4 &v2)
	Cosine of the opening angle between two three-vectors.

double	phi (const Vec4 &v1, const Vec4 &v2)
	phi is azimuthal angle between v1 and v2 around z axis. More...

double	cosphi (const Vec4 &v1, const Vec4 &v2)
	Cosine of the azimuthal angle between two three-vectors.

double	phi (const Vec4 &v1, const Vec4 &v2, const Vec4 &n)
	phi is azimuthal angle between v1 and v2 around n axis. More...

double	cosphi (const Vec4 &v1, const Vec4 &v2, const Vec4 &n)
	Cosine of the azimuthal angle between two three-vectors around a third.

double	RRapPhi (const Vec4 &v1, const Vec4 &v2)
	R is distance in cylindrical (y/eta, phi) coordinates. More...

double	REtaPhi (const Vec4 &v1, const Vec4 &v2)
	Distance in cylindrical (eta, phi) coordinates.

bool	pShift (Vec4 &p1Move, Vec4 &p2Move, double m1New, double m2New)
	Shift four-momenta within pair from old to new masses. More...

pair< Vec4, Vec4 >	getTwoPerpendicular (const Vec4 &v1, const Vec4 &v2)
	Create two vectors that are perpendicular to both input vectors. More...

Detailed Description

Vec4 class. This class implements four-vectors, in energy-momentum space. (But can equally well be used to hold space-time four-vectors.)

Friends And Related Function Documentation

Vec4 cross4	(	const Vec4 &	a,
		const Vec4 &	b,
		const Vec4 &	c
	)

friend

Cross-product of three 4-vectors ( p_i = epsilon_{iabc} p_a p_b p_c).

Cross-product of three 4-vectors ( p_i = epsilon_{iabc} p_a p_b p_c)

double dot3	(	const Vec4 &	v1,
		const Vec4 &	v2
	)

friend

Scalar and cross product of 3-vector parts.

The scalar product of two three-vectors.

pair<Vec4,Vec4> getTwoPerpendicular	(	const Vec4 &	v1,
		const Vec4 &	v2
	)

friend

Create two vectors that are perpendicular to both input vectors.

One perpendicular vector from three-dimensional cross-product.

Second perpendicular vector from four-dimensional cross-product.

double m ( const Vec4 & v1 )

friend

Invariant mass and its square.

The invariant mass of one or more four-vectors.

Vec4 operator*	(	double	f,
		const Vec4 &	v1
	)

friend

Operator overloading with friends.

Implementation of operator overloading with friends.

ostream& operator<<	(	ostream &	os,
		const Vec4 &	v
	)

friend

Print a four-vector.

Print a four-vector: also operator overloading with friend.

double phi	(	const Vec4 &	v1,
		const Vec4 &	v2
	)

friend

phi is azimuthal angle between v1 and v2 around z axis.

Azimuthal angle between two three-vectors.

double phi	(	const Vec4 &	v1,
		const Vec4 &	v2,
		const Vec4 &	n
	)

friend

phi is azimuthal angle between v1 and v2 around n axis.

Azimuthal angle between two three-vectors around a third.

bool pShift	(	Vec4 &	p1Move,
		Vec4 &	p2Move,
		double	m1New,
		double	m2New
	)

friend

Shift four-momenta within pair from old to new masses.

Shift four-momenta within pair from old to new masses. Note that p1Move and p2Move change values during operation.

Standard kinematics variables.

Check that shift operation possible.

Calculate needed shift and apply it.

double RRapPhi	(	const Vec4 &	v1,
		const Vec4 &	v2
	)

friend

R is distance in cylindrical (y/eta, phi) coordinates.

Distance in cylindrical (y, phi) coordinates.

double theta	(	const Vec4 &	v1,
		const Vec4 &	v2
	)

friend

theta is polar angle between v1 and v2.

Opening angle between two three-vectors.

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

include/Pythia8/Basics.h
src/Basics.cc

Public Member Functions

Friends

Detailed Description

Friends And Related Function Documentation