Metric Class Reference
[Tensorial fields]

Metric for tensor calculation. More...

#include <metric.h>

Inheritance diagram for Metric:

Public Member Functions
	Metric (const Sym_tensor &tens)
	Standard constructor from a `Sym_tensor` .
	Metric (const Metric &met)
	Copy constructor.
	Metric (const Map &, FILE *)
	Constructor from a file (see `sauve(FILE*)` ).
virtual	~Metric ()
	Destructor.
void	operator= (const Metric &met)
	Assignment to another Metric.
virtual void	operator= (const Sym_tensor &tens)
	Assignment from a `Sym_tensor` .
const Map &	get_mp () const
	Returns the mapping.
virtual const Sym_tensor &	cov () const
	Read-only access to the covariant representation.
virtual const Sym_tensor &	con () const
	Read-only access to the contravariant representation.
virtual const Connection &	connect () const
	Returns the connection.
const Sym_tensor &	ricci () const
	Returns the Ricci tensor (given by the `Connection` `p_connect` ).
virtual const Scalar &	ricci_scal () const
	Returns the Ricci scalar.
virtual const Vector &	radial_vect () const
	Returns the radial vector normal to a spherical slicing and pointing toward spatial infinity.
virtual const Scalar &	determinant () const
	Returns the determinant.
virtual void	sauve (FILE *) const
	Save in a file.
Protected Member Functions
	Metric (const Map &mpi)
	Simplified constructor used by derived classes.
void	del_deriv () const
	Deletes all the derived quantities.
void	set_der_0x0 () const
	Sets to `0x0` all the pointers on derived quantities.
void	del_tensor_depend () const
	Deletes all the derivative members of the `Tensor` contained in `tensor_depend` .
void	set_tensor_depend_0x0 () const
	Sets all elements of `tensor_depend` to 0x0.
virtual ostream &	operator>> (ostream &) const
	Operator >> (virtual function called by the operator <<).
Protected Attributes
const Map *const	mp
	Reference mapping.
Sym_tensor *	p_met_cov
	Pointer on the contravariant representation.
Sym_tensor *	p_met_con
	Pointer on the covariant representation.
Connection *	p_connect
	Connection associated with the metric.
Scalar *	p_ricci_scal
	Pointer on the Ricci scalar.
Vector *	p_radial_vect
	Pointer to the radial vector normal to a spherical slicing and pointing toward spatial infinity.
Scalar *	p_determinant
	Pointer on the determinant.
const Tensor *	tensor_depend [N_TENSOR_DEPEND]
	Pointer on the dependancies, that means the array contains pointers on all the `Tensor` whom derivative members have been calculated using `*this` .
Friends
class	Tensor
ostream &	operator<< (ostream &, const Metric &)
	Display.

Detailed Description

Metric for tensor calculation.

()

Definition at line 86 of file metric.h.

Constructor & Destructor Documentation

Metric::Metric ( const Sym_tensor & tens ) [explicit]

Standard constructor from a Sym_tensor .

The symmetric tensor can be either the covariant or the contravariant representation of the metric.

Definition at line 100 of file metric.C.

References Tensor::get_index_type(), p_met_con, p_met_cov, set_der_0x0(), and set_tensor_depend_0x0().

Metric::Metric ( const Metric & met )

Copy constructor.

Definition at line 121 of file metric.C.

References p_met_con, p_met_cov, set_der_0x0(), and set_tensor_depend_0x0().

Metric::Metric	(	const Map &	mpi,
		FILE *
	)

Constructor from a file (see sauve(FILE*) ).

Definition at line 134 of file metric.C.

Metric::Metric ( const Map & mpi ) [explicit, protected]

Simplified constructor used by derived classes.

Definition at line 143 of file metric.C.

References set_der_0x0(), and set_tensor_depend_0x0().

Metric::~Metric ( ) [virtual]

Destructor.

Definition at line 156 of file metric.C.

References del_deriv(), del_tensor_depend(), p_met_con, and p_met_cov.

Member Function Documentation

const Sym_tensor & Metric::con ( ) const [virtual]

Read-only access to the contravariant representation.

Reimplemented in Metric_flat.

Definition at line 286 of file metric.C.

References Sym_tensor::inverse(), p_met_con, and p_met_cov.

const Connection & Metric::connect ( ) const [virtual]

Returns the connection.

Reimplemented in Metric_flat.

Definition at line 297 of file metric.C.

References Map::flat_met_cart(), Map::flat_met_spher(), Tensor::get_triad(), mp, p_connect, p_met_con, and p_met_cov.

const Sym_tensor & Metric::cov ( ) const [virtual]

Read-only access to the covariant representation.

Reimplemented in Metric_flat.

Definition at line 276 of file metric.C.

References Sym_tensor::inverse(), p_met_con, and p_met_cov.

void Metric::del_deriv ( ) const [protected]

Deletes all the derived quantities.

Definition at line 172 of file metric.C.

References p_connect, p_determinant, p_radial_vect, p_ricci_scal, and set_der_0x0().

void Metric::del_tensor_depend ( ) const [protected]

Deletes all the derivative members of the Tensor contained in tensor_depend .

Those quantities had been previously calculated using *this .

Definition at line 193 of file metric.C.

References Tensor::del_derive_met(), Tensor::get_place_met(), set_tensor_depend_0x0(), and tensor_depend.

const Scalar & Metric::determinant ( ) const [virtual]

Returns the determinant.

This determinant is stored as a Scalar although it a scalar density. To be a real scalar it must be divided by e.g. the determinant of a flat metric.

Reimplemented in Metric_flat.

Definition at line 388 of file metric.C.

References cov(), mp, and p_determinant.

const Map& Metric::get_mp ( ) const [inline]

Returns the mapping.

Definition at line 198 of file metric.h.

References mp.

void Metric::operator= ( const Sym_tensor & tens ) [virtual]

Assignment from a Sym_tensor .

The allocated representation depends on the type of the input tensor indices. All the other members are deleted.

Reimplemented in Metric_flat.

Definition at line 242 of file metric.C.