Lorentz matrix. More...

#include <LorentzMatrix.hh>

Inheritance diagram for boca::LorentzMatrix< Value_ >:

Collaboration diagram for boca::LorentzMatrix< Value_ >:

Public Member Functions
Constructor
	LorentzMatrix ()
	Default constructor. More...

	LorentzMatrix (Matrix3< Value_ > const &matrix, Vector3< Value_ > const &vector, Value_ scalar, Matrix symmetry=Matrix::none)
	Constructor accepting one three dimensional matrix, vector and scalar. More...

	LorentzMatrix (Matrix3< Value_ > const &matrix)
	Constructor accepting one three dimensional matrix. More...

	LorentzMatrix (Vector3< double > const &vector)
	Constructor accepting one three dimensional vector as a Lorenz-boost. More...

	LorentzMatrix (LorentzVectorBase< Value_ > const &x, LorentzVectorBase< Value_ > const &y, LorentzVectorBase< Value_ > const &z, LorentzVectorBase< Value_ > const &t, Matrix matrix=Matrix::row)
	Constructor accepting three Lorentz vectors. More...

Setter
void	SetMatrix (Matrix3< Value_ > const &matrix)
	Set the three dimension matrix. More...

void	SetVector (Vector3< Value_ > const &vector, Matrix symmetry)
	Set the three dimensional vectors. More...

void	SetScalar (Value_ scalar)
	Set the three dimensional scalar. More...

void	SetRows (LorentzVectorBase< Value_ > const &x, LorentzVectorBase< Value_ > const &y, LorentzVectorBase< Value_ > const &z, LorentzVectorBase< Value_ > const &t)
	Set the rows. More...

void	SetColumns (LorentzVectorBase< Value_ > const &x, LorentzVectorBase< Value_ > const &y, LorentzVectorBase< Value_ > const &z, LorentzVectorBase< Value_ > const &t)
	Set the columns. More...

Accessor and getter
LorentzVectorBase< Value_ > const &	X () const
	x-row More...

LorentzVectorBase< Value_ > &	X ()
	x-row More...


LorentzVectorBase< Value_ > const &	Y () const
	y-row More...

LorentzVectorBase< Value_ > &	Y ()
	y-row More...


LorentzVectorBase< Value_ > const &	Z () const
	z-row More...

LorentzVectorBase< Value_ > &	Z ()
	z-row More...


LorentzVectorBase< Value_ >	T () const
	t-row More...

LorentzVectorBase< Value_ > &	T ()
	t-row More...

Scalar
Value4	Determinant () const
	Determinant \(\det A = \sum_{i=1}^n A_{i, j} C_{i, j}\). More...

Value4	Laplace (LorentzDim dim_1, LorentzDim dim_2) const
	Laplace \(A_{i, j} C_{i, j}\). More...

ValueCubed	Cofactor (LorentzDim dim_1, LorentzDim dim_2) const
	Cofactor \(C_{i, j} = (-1)^{i+j} M_{i, j}\). More...

ValueCubed	Minor (LorentzDim delete_1, LorentzDim delete_2) const
	Minor \(M_{i, j} = \det ((A_{p, q})_{p\neq i, q\neq j})\). More...

Value4	ReducedDeterminant (LorentzDim dim_1, LorentzDim dim_2) const
	Reduced determinant \(\det_{i, j} = \det - A_{i, j} C_{i, j}\). More...

Value4	ReducedLaplace (LorentzDim dim_1, LorentzDim dim_2, Dim3 dim_3, Dim3 dim_4)
	Reduced Laplace \(\det_{i, j} = A_{i, j} (\det - M_{i, j} C_{i, j})\). More...

int	Sign (LorentzDim i, LorentzDim j) const
	Sign of a given element \((-1)^{i+j}\). More...

Matrix
Matrix3< Value_ >	SubMatrix (LorentzDim delete_1, LorentzDim delete_2) const
	Sub matrix \((A_{p, q})_{p\neq i, q\neq j}\). More...

LorentzVectorBase< Value_ >	ColumnX () const
	x column More...

LorentzVectorBase< Value_ >	ColumnY () const
	y column More...

LorentzVectorBase< Value_ >	ColumnZ () const
	z column More...

LorentzVectorBase< Value_ >	ColumnT () const
	t column More...

Multiplication
template<typename Value_2_ >
auto	Multiply (const LorentzVectorBase< Value_2_ > &vector) const
	Multiply with a vector. More...

template<typename Value_2_ >
LorentzMatrix	Multiply (const LorentzMatrix< Value_2_ > &matrix) const
	Multiply with a matrix. More...

template<typename Value_2_ >
LorentzMatrix &	Transform (const LorentzMatrix< Value_2_ > &matrix)
	Transform this matrix. More...

template<typename Value_2_ >
auto &	Transform (const Matrix3< Value_2_ > &matrix)
	Transform this matrix with a three dimensional matrix. More...

auto	Transposed () const
	Transposed. More...

auto &	Transpose ()
	Transpose. More...

template<typename Value_2_ >
auto &	Boost (const Vector3< Value_ > &boost)
	Boost. More...

template<typename Value_2_ >
auto &	Rotate (Angle angle, Dim3 dim)
	Rotate. More...

template<typename Value_2_ >
auto &	Rotate (Angle angle, const Vector3< Value_ > &axis)
	Rotation around specified vector. More...

Operator
bool	operator< (LorentzMatrix const &matrix) const
	Less than comparison. More...

bool	operator== (LorentzMatrix const &matrix) const
	Equallity comparison. More...

template<typename Value_2_ >
auto	operator* (const LorentzVectorBase< Value_2_ > &vector) const
	Multiply with a vector. More...

template<typename Value_2_ >
auto	operator* (const LorentzMatrix< Value_2_ > &matrix) const
	Multiply with a matrix. More...

auto &	operator*= (const LorentzMatrix< Value_2_ > &matrix)
	Multiply with a matrix. More...

LorentzVectorBase< Value_ > const &	operator[] (LorentzDim lorentz_dim) const
	Row by index. More...

LorentzVectorBase< Value_ > &	operator[] (LorentzDim lorentz_dim)
	Row by index. More...

auto &	operator<< (std::ostream &stream, LorentzMatrix< Value_ > const &matrix)
	Output stream operator. More...

Detailed Description

template<typename Value_>
class boca::LorentzMatrix< Value_ >

Lorentz matrix.

Constructor & Destructor Documentation

template<typename Value_>

boca::LorentzMatrix< Value_ >::LorentzMatrix ( )

inline

Default constructor.

template<typename Value_>

boca::LorentzMatrix< Value_ >::LorentzMatrix	(	Matrix3< Value_ > const &	matrix,
		Vector3< Value_ > const &	vector,
		Value_	scalar,
		Matrix	symmetry = `Matrix::none`
	)

inline

Constructor accepting one three dimensional matrix, vector and scalar.

template<typename Value_>

boca::LorentzMatrix< Value_ >::LorentzMatrix ( Matrix3< Value_ > const & matrix )

inline

Constructor accepting one three dimensional matrix.

template<typename Value_>

boca::LorentzMatrix< Value_ >::LorentzMatrix ( Vector3< double > const & vector )

inline

Constructor accepting one three dimensional vector as a Lorenz-boost.

template<typename Value_>

boca::LorentzMatrix< Value_ >::LorentzMatrix	(	LorentzVectorBase< Value_ > const &	x,
		LorentzVectorBase< Value_ > const &	y,
		LorentzVectorBase< Value_ > const &	z,
		LorentzVectorBase< Value_ > const &	t,
		Matrix	matrix = `Matrix::row`
	)

inline

Constructor accepting three Lorentz vectors.

Member Function Documentation

template<typename Value_>

template<typename Value_2_ >

auto& boca::LorentzMatrix< Value_ >::Boost ( const Vector3< Value_ > & boost )

inline

Boost.

template<typename Value_>

ValueCubed boca::LorentzMatrix< Value_ >::Cofactor	(	LorentzDim	dim_1,
		LorentzDim	dim_2
	)		const

inline

Cofactor \(C_{i, j} = (-1)^{i+j} M_{i, j}\).

template<typename Value_>

LorentzVectorBase<Value_> boca::LorentzMatrix< Value_ >::ColumnT ( ) const

inline

t column

template<typename Value_>

LorentzVectorBase<Value_> boca::LorentzMatrix< Value_ >::ColumnX ( ) const

inline

x column

template<typename Value_>

LorentzVectorBase<Value_> boca::LorentzMatrix< Value_ >::ColumnY ( ) const

inline

y column

template<typename Value_>

LorentzVectorBase<Value_> boca::LorentzMatrix< Value_ >::ColumnZ ( ) const

inline

z column

template<typename Value_>

Value4 boca::LorentzMatrix< Value_ >::Determinant ( ) const

inline

Determinant \(\det A = \sum_{i=1}^n A_{i, j} C_{i, j}\).

template<typename Value_>

Value4 boca::LorentzMatrix< Value_ >::Laplace	(	LorentzDim	dim_1,
		LorentzDim	dim_2
	)		const

inline

Laplace \(A_{i, j} C_{i, j}\).

template<typename Value_>

ValueCubed boca::LorentzMatrix< Value_ >::Minor	(	LorentzDim	delete_1,
		LorentzDim	delete_2
	)		const

inline

Minor \(M_{i, j} = \det ((A_{p, q})_{p\neq i, q\neq j})\).

template<typename Value_>

template<typename Value_2_ >

auto boca::LorentzMatrix< Value_ >::Multiply ( const LorentzVectorBase< Value_2_ > & vector ) const

inline

Multiply with a vector.

template<typename Value_>

template<typename Value_2_ >

LorentzMatrix boca::LorentzMatrix< Value_ >::Multiply ( const LorentzMatrix< Value_2_ > & matrix ) const

inline

Multiply with a matrix.

template<typename Value_>

template<typename Value_2_ >

auto boca::LorentzMatrix< Value_ >::operator* ( const LorentzVectorBase< Value_2_ > & vector ) const

inline

Multiply with a vector.

template<typename Value_>

template<typename Value_2_ >

auto boca::LorentzMatrix< Value_ >::operator* ( const LorentzMatrix< Value_2_ > & matrix ) const

inline

Multiply with a matrix.

template<typename Value_>

auto& boca::LorentzMatrix< Value_ >::operator*= ( const LorentzMatrix< Value_2_ > & matrix )

inline

Multiply with a matrix.

template<typename Value_>

bool boca::LorentzMatrix< Value_ >::operator< ( LorentzMatrix< Value_ > const & matrix ) const

inline

Less than comparison.

template<typename Value_>

bool boca::LorentzMatrix< Value_ >::operator== ( LorentzMatrix< Value_ > const & matrix ) const

inline

Equallity comparison.

template<typename Value_>

LorentzVectorBase<Value_> const& boca::LorentzMatrix< Value_ >::operator[] ( LorentzDim lorentz_dim ) const

inline

Row by index.

template<typename Value_>

LorentzVectorBase<Value_>& boca::LorentzMatrix< Value_ >::operator[] ( LorentzDim lorentz_dim )

inline

Row by index.

template<typename Value_>

Value4 boca::LorentzMatrix< Value_ >::ReducedDeterminant	(	LorentzDim	dim_1,
		LorentzDim	dim_2
	)		const

inline

Reduced determinant \(\det_{i, j} = \det - A_{i, j} C_{i, j}\).

template<typename Value_>

Value4 boca::LorentzMatrix< Value_ >::ReducedLaplace	(	LorentzDim	dim_1,
		LorentzDim	dim_2,
		Dim3	dim_3,
		Dim3	dim_4
	)

inline

Reduced Laplace \(\det_{i, j} = A_{i, j} (\det - M_{i, j} C_{i, j})\).

template<typename Value_>

template<typename Value_2_ >

auto& boca::LorentzMatrix< Value_ >::Rotate	(	Angle	angle,
		Dim3	dim
	)

inline

Rotate.

template<typename Value_>

template<typename Value_2_ >

auto& boca::LorentzMatrix< Value_ >::Rotate	(	Angle	angle,
		const Vector3< Value_ > &	axis
	)

inline

Rotation around specified vector.

template<typename Value_>

void boca::LorentzMatrix< Value_ >::SetColumns	(	LorentzVectorBase< Value_ > const &	x,
		LorentzVectorBase< Value_ > const &	y,
		LorentzVectorBase< Value_ > const &	z,
		LorentzVectorBase< Value_ > const &	t
	)

inline

Set the columns.

template<typename Value_>

void boca::LorentzMatrix< Value_ >::SetMatrix ( Matrix3< Value_ > const & matrix )

inline

Set the three dimension matrix.

template<typename Value_>

void boca::LorentzMatrix< Value_ >::SetRows	(	LorentzVectorBase< Value_ > const &	x,
		LorentzVectorBase< Value_ > const &	y,
		LorentzVectorBase< Value_ > const &	z,
		LorentzVectorBase< Value_ > const &	t
	)

inline

Set the rows.

template<typename Value_>

void boca::LorentzMatrix< Value_ >::SetScalar ( Value_ scalar )

inline

Set the three dimensional scalar.

template<typename Value_>

void boca::LorentzMatrix< Value_ >::SetVector	(	Vector3< Value_ > const &	vector,
		Matrix	symmetry
	)

inline

Set the three dimensional vectors.

template<typename Value_>

int boca::LorentzMatrix< Value_ >::Sign	(	LorentzDim	i,
		LorentzDim	j
	)		const

inline

Sign of a given element \((-1)^{i+j}\).

template<typename Value_>

Matrix3<Value_> boca::LorentzMatrix< Value_ >::SubMatrix	(	LorentzDim	delete_1,
		LorentzDim	delete_2
	)		const

inline

Sub matrix \((A_{p, q})_{p\neq i, q\neq j}\).

template<typename Value_>

LorentzVectorBase<Value_> boca::LorentzMatrix< Value_ >::T ( ) const

inline

t-row

template<typename Value_>

LorentzVectorBase<Value_>& boca::LorentzMatrix< Value_ >::T ( )

inline

t-row

template<typename Value_>

template<typename Value_2_ >

LorentzMatrix& boca::LorentzMatrix< Value_ >::Transform ( const LorentzMatrix< Value_2_ > & matrix )

inline

Transform this matrix.

template<typename Value_>

template<typename Value_2_ >

auto& boca::LorentzMatrix< Value_ >::Transform ( const Matrix3< Value_2_ > & matrix )

inline

Transform this matrix with a three dimensional matrix.

a *= b; <=> a = a * b; while a.Transform(b); <=> a = b * a;

template<typename Value_>

auto& boca::LorentzMatrix< Value_ >::Transpose ( )

inline

Transpose.

template<typename Value_>

auto boca::LorentzMatrix< Value_ >::Transposed ( ) const

inline

Transposed.

template<typename Value_>

LorentzVectorBase<Value_> const& boca::LorentzMatrix< Value_ >::X ( ) const

inline

x-row

template<typename Value_>

LorentzVectorBase<Value_>& boca::LorentzMatrix< Value_ >::X ( )

inline

x-row

template<typename Value_>

LorentzVectorBase<Value_> const& boca::LorentzMatrix< Value_ >::Y ( ) const

inline

y-row

template<typename Value_>

LorentzVectorBase<Value_>& boca::LorentzMatrix< Value_ >::Y ( )

inline

y-row

template<typename Value_>

LorentzVectorBase<Value_> const& boca::LorentzMatrix< Value_ >::Z ( ) const

inline

z-row

template<typename Value_>

LorentzVectorBase<Value_>& boca::LorentzMatrix< Value_ >::Z ( )

inline

z-row

Friends And Related Function Documentation

template<typename Value_>

auto& operator<<	(	std::ostream &	stream,
		LorentzMatrix< Value_ > const &	matrix
	)

friend

Output stream operator.

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

boca/math/LorentzMatrix.hh

Public Member Functions

Operator

Detailed Description

template<typename Value_> class boca::LorentzMatrix< Value_ >

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

template<typename Value_>
class boca::LorentzMatrix< Value_ >