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ROOT » MATH » GENVECTOR » ROOT::Math::Boost

class ROOT::Math::Boost


     Lorentz boost class with the (4D) transformation represented internally
     by a 4x4 orthosymplectic matrix.
     See also BoostX, BoostY and BoostZ for classes representing
     specialized Lorentz boosts.
     Also, the 3-D rotation classes can be considered to be special Lorentz
     transformations which do not mix space and time components.

     @ingroup GenVector

Function Members (Methods)

public:

	~Boost()
ROOT::Math::Boost::XYZVector	BetaVector() const
ROOT::Math::Boost	Boost()
ROOT::Math::Boost	Boost(ROOT::Math::Boost const& b)
ROOT::Math::Boost	Boost(ROOT::Math::BoostX const& bx)
ROOT::Math::Boost	Boost(ROOT::Math::BoostY const& by)
ROOT::Math::Boost	Boost(ROOT::Math::BoostZ const& bz)
ROOT::Math::Boost	Boost(double* begin, double* end)
ROOT::Math::Boost	Boost(ROOT::Math::Boost::Scalar beta_x, ROOT::Math::Boost::Scalar beta_y, ROOT::Math::Boost::Scalar beta_z)
void	GetComponents(double* begin) const
void	GetComponents(ROOT::Math::Boost::Scalar& beta_x, ROOT::Math::Boost::Scalar& beta_y, ROOT::Math::Boost::Scalar& beta_z) const
void	GetLorentzRotation(ROOT::Math::Boost::Scalar* r) const
ROOT::Math::Boost	Inverse() const
void	Invert()
bool	operator!=(const ROOT::Math::Boost& rhs) const
ROOT::Math::LorentzVector<ROOT::Math::PxPyPzE4D<double> >	operator()(const ROOT::Math::LorentzVector<ROOT::Math::PxPyPzE4D<double> >& v) const
ROOT::Math::LorentzVector<ROOT::Math::PxPyPzE4D<double> >	operator*(const ROOT::Math::LorentzVector<ROOT::Math::PxPyPzE4D<double> >& v) const
ROOT::Math::Boost&	operator=(ROOT::Math::Boost const& rhs)
ROOT::Math::Boost&	operator=(ROOT::Math::BoostX const& bx)
ROOT::Math::Boost&	operator=(ROOT::Math::BoostY const& by)
ROOT::Math::Boost&	operator=(ROOT::Math::BoostZ const& bz)
bool	operator==(const ROOT::Math::Boost& rhs) const
void	Rectify()
void	SetComponents(const ROOT::Math::DisplacementVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& beta)
void	SetComponents(double* begin, double* end)
void	SetComponents(ROOT::Math::Boost::Scalar beta_x, ROOT::Math::Boost::Scalar beta_y, ROOT::Math::Boost::Scalar beta_z)

protected:

void	SetIdentity()

Data Members

public:

enum ELorentzRotationMatrixIndex {	kLXX
	kLXY
	kLXZ
	kLXT
	kLYX
	kLYY
	kLYZ
	kLYT
	kLZX
	kLZY
	kLZZ
	kLZT
	kLTX
	kLTY
	kLTZ
	kLTT
};
enum EBoostMatrixIndex {	kXX
	kXY
	kXZ
	kXT
	kYY
	kYZ
	kYT
	kZZ
	kZT
	kTT
};

private:

ROOT::Math::Boost::Scalar	fM[10]

Class Charts

Inheritance Inherited Members Includes Libraries

Function documentation

Boost()

 ========== Constructors and Assignment =====================

      Default constructor (identity transformation)

{ SetIdentity(); }

Boost(ROOT::Math::Boost::Scalar beta_x, ROOT::Math::Boost::Scalar beta_y, ROOT::Math::Boost::Scalar beta_z)

     Construct given a three Scalars beta_x, beta_y, and beta_z

{ SetComponents(beta_x, beta_y, beta_z); }

Boost(const Avector & beta)

     Construct given a beta vector (which must have methods x(), y(), z())

{ SetComponents(beta); }

Boost(double* begin, double* end)

     Construct given a pair of pointers or iterators defining the
     beginning and end of an array of three Scalars to use as beta_x, _y, and _z

{ SetComponents(begin,end); }

Boost(Boost const & b)

      copy constructor

explicit Boost( BoostX const & bx )

     Construct from an axial boost

{SetComponents(bx.BetaVector());}

explicit Boost( BoostY const & by )

{SetComponents(by.BetaVector());}

operator=(Boost const & rhs )

 The compiler-generated copy ctor, copy assignment, and dtor are OK.

      Assignment operator

operator=( BoostX const & bx )

     Assign from an axial pure boost

{ return operator=(Boost(bx)); }

operator=( BoostY const & by )

{ return operator=(Boost(by)); }

operator=( BoostZ const & bz )

{ return operator=(Boost(bz)); }

void Rectify()

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

SetComponents(ROOT::Math::Boost::Scalar beta_x, ROOT::Math::Boost::Scalar beta_y, ROOT::Math::Boost::Scalar beta_z)

 ======== Components ==============

     Set components from beta_x, beta_y, and beta_z

GetComponents(ROOT::Math::Boost::Scalar& beta_x, ROOT::Math::Boost::Scalar& beta_y, ROOT::Math::Boost::Scalar& beta_z) const

     Get components into beta_x, beta_y, and beta_z

SetComponents(const ROOT::Math::DisplacementVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& beta)

     Set components from a beta vector

{ SetComponents(beta.x(), beta.y(), beta.z()); }

void SetComponents(double* begin, double* end)

     Set given a pair of pointers or iterators defining the beginning and end of
     an array of three Scalars to use as beta_x,beta _y, and beta_z

void GetComponents(IT begin, IT end)

     Get given a pair of pointers or iterators defining the beginning and end of
     an array of three Scalars into which to place beta_x, beta_y, and beta_z

XYZVector BetaVector() const

GetLorentzRotation(ROOT::Math::Boost::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.

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

 =========== operations ==============

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

A4Vector operator*(const ROOT::Math::LorentzVector<ROOT::Math::PxPyPzE4D<double> >& v) const

     Overload operator * for boost on a vector

void Invert()

      Invert a Boost in place

Boost Inverse() const

      Return inverse of  a boost

return ! operator==(rhs)

void SetIdentity()