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Functions
	Lorene::Tensor::Tensor (const Map &map, int val, const Itbl &tipe, const Base_vect &triad_i)
	Standard constructor.
	Lorene::Tensor::Tensor (const Map &map, int val, const Itbl &tipe, const Base_vect *triad_i)
	Standard constructor with the triad passed as a pointer.
	Lorene::Tensor::Tensor (const Map &map, int val, int tipe, const Base_vect &triad_i)
	Standard constructor when all the indices are of the same type.
	Lorene::Tensor::Tensor (const Tensor &)
	Copy constructor.
	Lorene::Tensor::Tensor (const Map &map, const Base_vect &triad_i, FILE *fich)
	Constructor from a file (see `sauve(FILE*)` ).
	Lorene::Tensor::Tensor (const Map &map)
	Constructor for a scalar field: to be used only by the derived class `Scalar` .
	Lorene::Tensor::Tensor (const Map &map, int val, const Itbl &tipe, int n_comp_i, const Base_vect &triad_i)
	Constructor to be used by derived classes, with symmetries among the components.
	Lorene::Tensor::Tensor (const Map &map, int val, int tipe, int n_comp_i, const Base_vect &triad_i)
	Constructor used by derived classes, with symmetries among the components, when all the indices are of the same type.
virtual	Lorene::Tensor::~Tensor ()
	Destructor.
virtual void	Lorene::Tensor::del_deriv () const
	Deletes the derived quantities.
void	Lorene::Tensor::set_der_0x0 () const
	Sets the pointers on derived quantities to 0x0.
virtual void	Lorene::Tensor::del_derive_met (int) const
	Logical destructor of the derivatives depending on the i-th element of `met_depend` .
void	Lorene::Tensor::set_der_met_0x0 (int) const
	Sets all the i-th components of `met_depend` , `p_derive_cov` , etc... to 0x0.
void	Lorene::Tensor::set_dependance (const Metric &) const
	To be used to describe the fact that the derivatives members have been calculated with `met` .
int	Lorene::Tensor::get_place_met (const Metric &) const
	Returns the position of the pointer on `metre` in the array `met_depend` .
virtual void	Lorene::Tensor::set_etat_nondef ()
	Sets the logical state of all components to `ETATNONDEF` (undefined state).
virtual void	Lorene::Tensor::set_etat_zero ()
	Sets the logical state of all components to `ETATZERO` (zero state).
virtual void	Lorene::Tensor::set_etat_qcq ()
	Sets the logical state of all components to `ETATQCQ` (ordinary state).
virtual void	Lorene::Tensor::allocate_all ()
	Performs the memory allocation of all the elements, down to the `double` arrays of the `Tbl` s.
virtual void	Lorene::Tensor::change_triad (const Base_vect &new_triad)
	Sets a new vectorial basis (triad) of decomposition and modifies the components accordingly.
void	Lorene::Tensor::set_triad (const Base_vect &new_triad)
	Assigns a new vectorial basis (triad) of decomposition.
virtual void	Lorene::Tensor::operator= (const Tensor &)
	Assignment to a `Tensor`.
Scalar &	Lorene::Tensor::set (const Itbl &ind)
	Returns the value of a component (read/write version).
Scalar &	Lorene::Tensor::set (int i1, int i2)
	Returns the value of a component for a tensor of valence 2 (read/write version).
Scalar &	Lorene::Tensor::set (int i1, int i2, int i3)
	Returns the value of a component for a tensor of valence 3 (read/write version).
Scalar &	Lorene::Tensor::set (int i1, int i2, int i3, int i4)
	Returns the value of a component for a tensor of valence 4 (read/write version).
void	Lorene::Tensor::annule_domain (int l)
	Sets the `Tensor` to zero in a given domain.
virtual void	Lorene::Tensor::annule (int l_min, int l_max)
	Sets the `Tensor` to zero in several domains.
void	Lorene::Tensor::annule_extern_cn (int l_0, int deg)
	Performs a smooth (C^n) transition in a given domain to zero.
virtual void	Lorene::Tensor::std_spectral_base ()
	Sets the standard spectal bases of decomposition for each component.
virtual void	Lorene::Tensor::std_spectral_base_odd ()
	Sets the standard odd spectal bases of decomposition for each component.
virtual void	Lorene::Tensor::dec_dzpuis (int dec=1)
	Decreases by `dec` units the value of `dzpuis` and changes accordingly the values in the compactified external domain (CED).
virtual void	Lorene::Tensor::inc_dzpuis (int inc=1)
	Increases by `inc` units the value of `dzpuis` and changes accordingly the values in the compactified external domain (CED).
virtual void	Lorene::Tensor::exponential_filter_r (int lzmin, int lzmax, int p, double alpha=-16.)
	Applies exponential filters to all components (see `Scalar::exponential_filter_r` ).
virtual void	Lorene::Tensor::exponential_filter_ylm (int lzmin, int lzmax, int p, double alpha=-16.)
	Applies exponential filters to all components (see `Scalar::exponential_filter_ylm` ).
void	Lorene::Tensor::compute_derive_lie (const Vector &v, Tensor &resu) const
	Computes the Lie derivative of `this` with respect to some vector field `v` (protected method; the public interface is method `derive_lie` ).
const Tensor &	Lorene::Tensor::derive_cov (const Metric &gam) const
	Returns the covariant derivative of `this` with respect to some metric $\gamma$ .
const Tensor &	Lorene::Tensor::derive_con (const Metric &gam) const
	Returns the "contravariant" derivative of `this` with respect to some metric $\gamma$ , by raising the last index of the covariant derivative (cf.
const Tensor &	Lorene::Tensor::divergence (const Metric &gam) const
	Computes the divergence of `this` with respect to some metric $\gamma$ .
Tensor	Lorene::Tensor::derive_lie (const Vector &v) const
	Computes the Lie derivative of `this` with respect to some vector field `v`.
Tensor	Lorene::Tensor::up (int ind, const Metric &gam) const
	Computes a new tensor by raising an index of `*this`.
Tensor	Lorene::Tensor::down (int ind, const Metric &gam) const
	Computes a new tensor by lowering an index of `*this`.
Tensor	Lorene::Tensor::up_down (const Metric &gam) const
	Computes a new tensor by raising or lowering all the indices of `*this` .
Tensor	Lorene::Tensor::trace (int ind1, int ind2) const
	Trace on two different type indices.
Tensor	Lorene::Tensor::trace (int ind1, int ind2, const Metric &gam) const
	Trace with respect to a given metric.
Scalar	Lorene::Tensor::trace () const
	Trace on two different type indices for a valence 2 tensor.
Scalar	Lorene::Tensor::trace (const Metric &gam) const
	Trace with respect to a given metric for a valence 2 tensor.
virtual int	Lorene::Tensor::position (const Itbl &ind) const
	Returns the position in the array `cmp` of a component given by its indices.
virtual Itbl	Lorene::Tensor::indices (int pos) const
	Returns the indices of a component given by its position in the array `cmp` .
const Map &	Lorene::Tensor::get_mp () const
	Returns the mapping.
const Base_vect *	Lorene::Tensor::get_triad () const
	Returns the vectorial basis (triad) on which the components are defined.
int	Lorene::Tensor::get_valence () const
	Returns the valence.
int	Lorene::Tensor::get_n_comp () const
	Returns the number of stored components.
int	Lorene::Tensor::get_index_type (int i) const
	Gives the type (covariant or contravariant) of the index number `i` .
Itbl	Lorene::Tensor::get_index_type () const
	Returns the types of all the indices.
int &	Lorene::Tensor::set_index_type (int i)
	Sets the type of the index number `i` .
Itbl &	Lorene::Tensor::set_index_type ()
	Sets the types of all the indices.
const Scalar &	Lorene::Tensor::operator() (const Itbl &ind) const
	Returns the value of a component (read-only version).
const Scalar &	Lorene::Tensor::operator() (int i1, int i2) const
	Returns the value of a component for a tensor of valence 2 (read-only version).
const Scalar &	Lorene::Tensor::operator() (int i1, int i2, int i3) const
	Returns the value of a component for a tensor of valence 3 (read-only version).
const Scalar &	Lorene::Tensor::operator() (int i1, int i2, int i3, int i4) const
	Returns the value of a component for a tensor of valence 4 (read-only version).
void	Lorene::Tensor::operator+= (const Tensor &)
	+= Tensor
void	Lorene::Tensor::operator-= (const Tensor &)
	-= Tensor
virtual void	Lorene::Tensor::sauve (FILE *) const
	Save in a binary file.
virtual void	Lorene::Tensor::spectral_display (const char *comment=0x0, double threshold=1.e-7, int precision=4, ostream &ostr=cout) const
	Displays the spectral coefficients and the associated basis functions of each component.
	Lorene::Tensor_sym::Tensor_sym (const Map &map, int val, const Itbl &tipe, const Base_vect &triad_i, int index_sym1, int index_sym2)
	Standard constructor.
	Lorene::Tensor_sym::Tensor_sym (const Map &map, int val, int tipe, const Base_vect &triad_i, int index_sym1, int index_sym2)
	Standard constructor when all the indices are of the same type.
	Lorene::Tensor_sym::Tensor_sym (const Map &map, int tipe0, int tipe1, int tipe2, const Base_vect &triad_i, int index_sym1, int index_sym2)
	Constructor for a valence 3 symmetric tensor.
	Lorene::Tensor_sym::Tensor_sym (const Tensor_sym &a)
	Copy constructor.
	Lorene::Tensor_sym::Tensor_sym (const Map &map, const Base_vect &triad_i, FILE *fich)
	Constructor from a file (see `sauve(FILE*)` ).
virtual	Lorene::Tensor_sym::~Tensor_sym ()
	Destructor.
virtual void	Lorene::Tensor_sym::operator= (const Tensor_sym &a)
	Assignment to another `Tensor_sym`.
virtual void	Lorene::Tensor_sym::operator= (const Tensor &a)
	Assignment to a `Tensor` NB: the symmetry about the indices `id_sym1` and `id_sym2` of the input tensor is assumed but is not checked.
int	Lorene::Tensor_sym::sym_index1 () const
	Number of the first symmetric index (`0<=` `id_sym1` < `valence` ).
int	Lorene::Tensor_sym::sym_index2 () const
	Number of the second symmetric index (`id_sym1` < `id_sym2` < `valence` ).
virtual int	Lorene::Tensor_sym::position (const Itbl &ind) const
	Returns the position in the array `cmp` of a component given by its indices.
virtual Itbl	Lorene::Tensor_sym::indices (int pos) const
	Returns the indices of a component given by its position in the array `cmp` .
virtual void	Lorene::Tensor_sym::sauve (FILE *) const
	Save in a binary file.
const Tensor_sym &	Lorene::Tensor_sym::derive_cov (const Metric &gam) const
	Returns the covariant derivative of `this` with respect to some metric $\gamma$ .
const Tensor_sym &	Lorene::Tensor_sym::derive_con (const Metric &gam) const
	Returns the "contravariant" derivative of `this` with respect to some metric $\gamma$ , by raising the last index of the covariant derivative (cf.
Tensor_sym	Lorene::Tensor_sym::derive_lie (const Vector &v) const
	Computes the Lie derivative of `this` with respect to some vector field `v`.
Tensor	Lorene::operator+ (const Tensor &)
Tensor	Lorene::operator- (const Tensor &)
	`-` Tensor
Tensor	Lorene::operator+ (const Tensor &a, const Tensor &b)
	Tensor + Tensor.
Scalar	Lorene::operator+ (const Tensor &a, const Scalar &b)
	Tensor + Scalar. The `Tensor` must be of valence 0.
Scalar	Lorene::operator+ (const Scalar &a, const Tensor &b)
	Scalar + Tensor. The `Tensor` must be of valence 0.
Tensor	Lorene::operator- (const Tensor &a, const Tensor &b)
	Tensor - Tensor.
Scalar	Lorene::operator- (const Tensor &a, const Scalar &b)
	Tensor - Scalar. The `Tensor` must be of valence 0.
Scalar	Lorene::operator- (const Scalar &a, const Tensor &b)
	Scalar - Tensor. The `Tensor` must be of valence 0.
Tensor	Lorene::operator* (const Scalar &a, const Tensor &b)
	Scalar * Tensor.
Tensor	Lorene::operator* (const Tensor &a, const Scalar &b)
	Tensor * Scalar.
Tensor	Lorene::operator* (double, const Tensor &)
	double * Tensor
Tensor	Lorene::operator* (const Tensor &, double)
	Tensor * double.
Tensor	Lorene::operator* (int, const Tensor &)
	int* Tensor
Tensor	Lorene::operator* (const Tensor &, int)
	Tensor * int.
Tensor	Lorene::operator/ (const Tensor &, const Scalar &)
	Tensor / Scalar.
Tensor	Lorene::operator/ (const Tensor &, double)
	Tensor / double.
Tensor	Lorene::operator/ (const Tensor &, int)
	Tensor / int.

Variables
const Map *const	Lorene::Tensor::mp
	Mapping on which the numerical values at the grid points are defined.
int	Lorene::Tensor::valence
	Valence of the tensor (0 = scalar, 1 = vector, etc...).
const Base_vect *	Lorene::Tensor::triad
	Vectorial basis (triad) with respect to which the tensor components are defined.
Itbl	Lorene::Tensor::type_indice
	1D array of integers (class `Itbl` ) of size `valence` containing the type of each index: `COV` for a covariant one and `CON` for a contravariant one.
int	Lorene::Tensor::n_comp
	Number of stored components, depending on the symmetry.
Scalar **	Lorene::Tensor::cmp
	Array of size `n_comp` of pointers onto the components.
const Metric *	Lorene::Tensor::met_depend [N_MET_MAX]
	Array on the `Metric` 's which were used to compute derived quantities, like `p_derive_cov` , etc... The i-th element of this array is the `Metric` used to compute the i-th element of `p_derive_cov` , etc.
Tensor *	Lorene::Tensor::p_derive_cov [N_MET_MAX]
	Array of pointers on the covariant derivatives of `this` with respect to various metrics.
Tensor *	Lorene::Tensor::p_derive_con [N_MET_MAX]
	Array of pointers on the contravariant derivatives of `this` with respect to various metrics.
Tensor *	Lorene::Tensor::p_divergence [N_MET_MAX]
	Array of pointers on the divergence of `this` with respect to various metrics.
int	Lorene::Tensor_sym::id_sym1
	Number of the first symmetric index (`0<=` `id_sym1` < `valence` ).
int	Lorene::Tensor_sym::id_sym2
	Number of the second symmetric index (`id_sym1` < `id_sym2` < `valence` ).

Friends
class	Lorene::Tensor::Scalar
class	Lorene::Tensor::Vector
class	Lorene::Tensor::Sym_tensor
class	Lorene::Tensor::Tensor_sym
class	Lorene::Tensor::Metric
ostream &	Lorene::Tensor::operator<< (ostream &flux, const Tensor &source)
Scalar	Lorene::Tensor::operator+ (const Tensor &a, const Scalar &b)
	Tensor + Scalar. The `Tensor` must be of valence 0.
Scalar	Lorene::Tensor::operator+ (const Scalar &a, const Tensor &b)
	Scalar + Tensor. The `Tensor` must be of valence 0.
Scalar	Lorene::Tensor::operator- (const Tensor &a, const Scalar &b)
	Tensor - Scalar. The `Tensor` must be of valence 0.
Scalar	Lorene::Tensor::operator- (const Scalar &a, const Tensor &b)
	Scalar - Tensor. The `Tensor` must be of valence 0.
Tensor	Lorene::Tensor::operator* (const Tensor &a, const Tensor &b)
	Tensorial product.
Tensor_sym	Lorene::Tensor::operator* (const Tensor &a, const Tensor_sym &b)
	Tensorial product with symmetries.
Tensor_sym	Lorene::Tensor::operator* (const Tensor_sym &a, const Tensor &b)
	Tensorial product with symmetries.
Tensor_sym	Lorene::Tensor::operator* (const Tensor_sym &a, const Tensor_sym &b)
	Tensorial product of two symmetric tensors.
Tensor_sym	Lorene::Tensor_sym::operator* (const Tensor &a, const Tensor_sym &b)
	Tensorial product with symmetries.
Tensor_sym	Lorene::Tensor_sym::operator* (const Tensor_sym &a, const Tensor &b)
	Tensorial product with symmetries.

Tensor_sym arithmetics
Tensor_sym	Lorene::operator+ (const Tensor_sym &)
Tensor_sym	Lorene::operator- (const Tensor_sym &)
Tensor_sym	Lorene::operator+ (const Tensor_sym &, const Tensor_sym &)
	Tensor_sym + Tensor_sym.
Tensor_sym	Lorene::operator- (const Tensor_sym &, const Tensor_sym &)
	Tensor_sym - Tensor_sym.
Tensor_sym	Lorene::operator* (const Scalar &a, const Tensor_sym &b)
	Scalar * Tensor_sym.
Tensor_sym	Lorene::operator* (const Tensor_sym &a, const Scalar &b)
	Tensor_sym * Scalar.
Tensor_sym	Lorene::operator* (double, const Tensor_sym &)
	double * Tensor_sym.
Tensor_sym	Lorene::operator* (const Tensor_sym &, double)
	Tensor_sym * double.
Tensor_sym	Lorene::operator* (int, const Tensor_sym &)
	int * Tensor_sym.
Tensor_sym	Lorene::operator* (const Tensor_sym &, int)
	Tensor_sym * int.
Tensor_sym	Lorene::operator/ (const Tensor_sym &, const Scalar &)
	Tensor_sym / Scalar.
Tensor_sym	Lorene::operator/ (const Tensor_sym &, double)
	Tensor_sym / double.
Tensor_sym	Lorene::operator/ (const Tensor_sym &, int)
	Tensor_sym / int.

Detailed Description

()

Function Documentation

◆ allocate_all()

void Lorene::Tensor::allocate_all ( )

virtual

Performs the memory allocation of all the elements, down to the double arrays of the Tbl s.

This function performs in fact recursive calls to set_etat_qcq() on each element of the chain Scalar -> Valeur -> Mtbl -> Tbl .

Reimplemented in Lorene::Scalar.

Definition at line 508 of file tensor.C.

References cmp, del_deriv(), and n_comp.

◆ annule()

void Lorene::Tensor::annule	(	int	l_min,
		int	l_max )

virtual

Sets the Tensor to zero in several domains.

Parameters

l_min	[input] The `Tensor` will be set (logically) to zero in the domains whose indices are in the range [l_min,l_max] .
l_max	[input] see the comments for `l_min` .

Note that annule(0,nz-1) , where nz is the total number of domains, is equivalent to set_etat_zero() .

Reimplemented in Lorene::Scalar.

Definition at line 671 of file tensor.C.

References cmp, del_deriv(), mp, n_comp, and set_etat_zero().

◆ annule_domain()

void Lorene::Tensor::annule_domain ( int l )

Sets the Tensor to zero in a given domain.

Parameters

l	[input] Index of the domain in which the `Tensor` will be set (logically) to zero.

Definition at line 666 of file tensor.C.

References annule().

◆ annule_extern_cn()

void Lorene::Tensor::annule_extern_cn	(	int	l_0,
		int	deg )

Performs a smooth (C^n) transition in a given domain to zero.

Parameters

l_0	[input] in the domain of index l0 the tensor is multiplied by the right polynomial (of degree 2n+1), to ensure continuty of the function and its n first derivative at both ends of this domain. The tensor is unchanged in the domains l < l_0 and set to zero in domains l > l_0.
deg	[input] the degree n of smoothness of the transition.

Definition at line 690 of file tensor.C.

References Lorene::Scalar::allocate_all(), Lorene::Scalar::annule(), Lorene::Itbl::annule_hard(), cmp, del_deriv(), mp, n_comp, Lorene::pow(), Lorene::Itbl::set(), Lorene::Tbl::set(), Lorene::Scalar::set_domain(), Lorene::Tbl::set_etat_qcq(), and Lorene::Scalar::std_spectral_base().

◆ change_triad()

void Lorene::Tensor::change_triad ( const Base_vect & new_triad )

virtual

Sets a new vectorial basis (triad) of decomposition and modifies the components accordingly.

Reimplemented in Lorene::Scalar, and Lorene::Vector.

Definition at line 77 of file tensor_change_triad.C.

References Lorene::Base_vect_cart::get_align(), mp, set(), Tensor(), triad, type_indice, and valence.

◆ compute_derive_lie()

void Lorene::Tensor::compute_derive_lie	(	const Vector &	v,
		Tensor &	resu ) const

protected

Computes the Lie derivative of this with respect to some vector field v (protected method; the public interface is method derive_lie ).

Definition at line 339 of file tensor_calculus.C.

References cmp, Lorene::contract(), Lorene::Scalar::dec_dzpuis(), derive_cov(), get_n_comp(), get_triad(), indices(), mp, n_comp, operator()(), Lorene::Itbl::set(), set(), Tensor(), triad, type_indice, and valence.

◆ dec_dzpuis()

void Lorene::Tensor::dec_dzpuis ( int dec = 1 )

virtual

Decreases by dec units the value of dzpuis and changes accordingly the values in the compactified external domain (CED).

Reimplemented in Lorene::Scalar.

Definition at line 808 of file tensor.C.

References cmp, dec_dzpuis(), del_deriv(), and n_comp.

◆ del_deriv()

void Lorene::Tensor::del_deriv ( ) const

protectedvirtual

Deletes the derived quantities.

Reimplemented in Lorene::Scalar, Lorene::Sym_tensor, Lorene::Sym_tensor_trans, Lorene::Sym_tensor_tt, Lorene::Vector, and Lorene::Vector_divfree.

Definition at line 398 of file tensor.C.

References del_derive_met(), and set_der_0x0().

◆ del_derive_met()

void Lorene::Tensor::del_derive_met ( int j ) const

protectedvirtual

Logical destructor of the derivatives depending on the i-th element of met_depend .

Reimplemented in Lorene::Sym_tensor, and Lorene::Vector.

Definition at line 414 of file tensor.C.

References met_depend, p_derive_con, p_derive_cov, p_divergence, and set_der_met_0x0().

◆ derive_con() [1/2]

const Tensor & Lorene::Tensor::derive_con ( const Metric & gam ) const

Returns the "contravariant" derivative of this with respect to some metric $\gamma$ , by raising the last index of the covariant derivative (cf.

method derive_cov() ) with $\gamma$ .

Definition at line 1014 of file tensor.C.

References Lorene::Metric::con(), Lorene::contract(), derive_cov(), get_index_type(), get_place_met(), mp, p_derive_con, Lorene::Itbl::set(), set_dependance(), Lorene::Tensor_sym::sym_index1(), Lorene::Tensor_sym::sym_index2(), Tensor(), triad, and valence.

◆ derive_con() [2/2]

const Tensor_sym & Lorene::Tensor_sym::derive_con ( const Metric & gam ) const

Returns the "contravariant" derivative of this with respect to some metric $\gamma$ , by raising the last index of the covariant derivative (cf.

method derive_cov() ) with $\gamma$ .

Definition at line 204 of file tensor_sym_calculus.C.

References Lorene::Tensor::derive_con(), and Tensor_sym().

◆ derive_cov() [1/2]

const Tensor & Lorene::Tensor::derive_cov ( const Metric & gam ) const

Returns the covariant derivative of this with respect to some metric $\gamma$ .

$T$ denoting the tensor represented by this and $\nabla T$ its covariant derivative with respect to the metric $\gamma$ , the extra index (with respect to the indices of $T$ ) of $\nabla T$ is chosen to be the last one. This convention agrees with that of MTW (see Eq. (10.17) of MTW). For instance, if $T$ is a 1-form, whose components w.r.t. the triad $e^i$ are $T_i$ : $T=T_i \; e^i$ , then the covariant derivative of $T$ is the bilinear form $\nabla T$ whose components $\nabla_j T_i$ are such that

$\‍[ \nabla T = \nabla_j T_i \; e^i \otimes e^j \‍]$

Parameters

gam	metric $\gamma$

Returns: covariant derivative $\nabla T$ of this with respect to the connection $\nabla$ associated with the metric $\gamma$

Definition at line 1002 of file tensor.C.

References Lorene::Metric::connect(), get_place_met(), Lorene::Connection::p_derive_cov(), p_derive_cov, set_dependance(), and Tensor().

◆ derive_cov() [2/2]

const Tensor_sym & Lorene::Tensor_sym::derive_cov ( const Metric & gam ) const

Returns the covariant derivative of this with respect to some metric $\gamma$ .

$T$ denoting the tensor represented by this and $\nabla T$ its covariant derivative with respect to the metric $\gamma$ , the extra index (with respect to the indices of $T$ ) of $\nabla T$ is chosen to be the last one. This convention agrees with that of MTW (see Eq. (10.17) of MTW).

Parameters

gam	metric $\gamma$

Returns: covariant derivative $\nabla T$ of this with respect to the connection $\nabla$ associated with the metric $\gamma$

Definition at line 192 of file tensor_sym_calculus.C.

References Lorene::Tensor::derive_cov(), and Tensor_sym().

◆ derive_lie() [1/2]

Tensor Lorene::Tensor::derive_lie ( const Vector & v ) const

Computes the Lie derivative of this with respect to some vector field v.

Definition at line 481 of file tensor_calculus.C.

References compute_derive_lie(), mp, Tensor(), triad, type_indice, and valence.

◆ derive_lie() [2/2]

Tensor_sym Lorene::Tensor_sym::derive_lie ( const Vector & v ) const

Computes the Lie derivative of this with respect to some vector field v.

Definition at line 219 of file tensor_sym_calculus.C.

References Lorene::Tensor::compute_derive_lie(), id_sym1, id_sym2, Lorene::Tensor::mp, Tensor_sym(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.

◆ divergence()

const Tensor & Lorene::Tensor::divergence ( const Metric & gam ) const

Computes the divergence of this with respect to some metric $\gamma$ .

The divergence is taken with respect of the last index of this which thus must be contravariant. For instance if the tensor $T$ represented by this is a twice contravariant tensor, whose components w.r.t. the triad $e_i$ are $T^{ij}$ : $T = T^{ij} \; e_i \otimes e_j$ , the divergence of $T$ w.r.t. $\gamma$ is the vector

$\‍[ {\rm div}\, T = \nabla_k T^{ik} \; e_i \‍]$

where $\nabla$ denotes the connection associated with the metric $\gamma$ .

Parameters

gam	metric $\gamma$

Returns: divergence of this with respect to $\gamma$ .

Definition at line 1055 of file tensor.C.

References Lorene::Metric::connect(), get_place_met(), Lorene::Connection::p_divergence(), p_divergence, set_dependance(), and Tensor().

◆ down()

Tensor Lorene::Tensor::down	(	int	ind,
		const Metric &	gam ) const

Computes a new tensor by lowering an index of *this.

Parameters

ind	index to be lowered, with the following convention : `ind1` = 0 : first index of the tensor `ind1` = 1 : second index of the tensor and so on... (`ind` must be of covariant type (`CON` )).
gam	metric used to lower the index (contraction with the twice covariant form of the metric on the index `ind` ).

Definition at line 265 of file tensor_calculus.C.

References Lorene::contract(), Lorene::Metric::cov(), indices(), mp, n_comp, Lorene::Itbl::set(), set(), Tensor(), triad, type_indice, and valence.

◆ exponential_filter_r()

void Lorene::Tensor::exponential_filter_r	(	int	lzmin,
		int	lzmax,
		int	p,
		double	alpha = -16. )

virtual

Applies exponential filters to all components (see Scalar::exponential_filter_r ).

Works only for Cartesian components.

Reimplemented in Lorene::Scalar, Lorene::Sym_tensor, and Lorene::Vector.

Definition at line 1066 of file tensor.C.

References cmp, exponential_filter_r(), mp, n_comp, and triad.

◆ exponential_filter_ylm()

void Lorene::Tensor::exponential_filter_ylm	(	int	lzmin,
		int	lzmax,
		int	p,
		double	alpha = -16. )

virtual

Applies exponential filters to all components (see Scalar::exponential_filter_ylm ).

Works only for Cartesian components.

Reimplemented in Lorene::Scalar, Lorene::Sym_tensor, and Lorene::Vector.

Definition at line 1079 of file tensor.C.

References cmp, exponential_filter_ylm(), mp, n_comp, and triad.

◆ get_index_type() [1/2]

Itbl Lorene::Tensor::get_index_type ( ) const

inline

Returns the types of all the indices.

Returns: 1-D array of integers (class Itbl ) of size valence
containing the type of each index, COV for a covariant one and CON
for a contravariant one.

Definition at line 896 of file tensor.h.

References type_indice.

◆ get_index_type() [2/2]

int Lorene::Tensor::get_index_type ( int i ) const

inline

Gives the type (covariant or contravariant) of the index number i .

i must be strictly lower than valence and obey the following convention:

i = 0 : first index
i = 1 : second index
and so on...

Returns: COV for a covariant index, CON for a contravariant one.

Definition at line 886 of file tensor.h.

References type_indice.

◆ get_mp()

const Map & Lorene::Tensor::get_mp ( ) const

inline

Returns the mapping.

Definition at line 861 of file tensor.h.

References Lorene::Map(), and mp.

◆ get_n_comp()

int Lorene::Tensor::get_n_comp ( ) const

inline

Returns the number of stored components.

Definition at line 872 of file tensor.h.

References n_comp.

◆ get_place_met()

int Lorene::Tensor::get_place_met ( const Metric & metre ) const

protected

Returns the position of the pointer on metre in the array met_depend .

Definition at line 443 of file tensor.C.

References met_depend.

◆ get_triad()

const Base_vect * Lorene::Tensor::get_triad ( ) const

inline

Returns the vectorial basis (triad) on which the components are defined.

Definition at line 866 of file tensor.h.

References triad.

◆ get_valence()

int Lorene::Tensor::get_valence ( ) const

inline

Returns the valence.

Definition at line 869 of file tensor.h.

References valence.

◆ inc_dzpuis()

void Lorene::Tensor::inc_dzpuis ( int inc = 1 )

virtual

Increases by inc units the value of dzpuis and changes accordingly the values in the compactified external domain (CED).

Reimplemented in Lorene::Scalar.

Definition at line 816 of file tensor.C.

References cmp, del_deriv(), inc_dzpuis(), and n_comp.

◆ indices() [1/2]

Itbl Lorene::Tensor::indices ( int pos ) const

virtual

Returns the indices of a component given by its position in the array cmp .

Parameters

pos	[input] position in the array `cmp` of the pointer to the `Scalar` representing a component

Returns

1-D array of integers (class Itbl ) of size valence giving the value of each index for the component located at the position pos in the array cmp, with the following storage convention:

Itbl(0) : value of the first index (1, 2 or 3)
Itbl(1) : value of the second index (1, 2 or 3)
and so on...

Reimplemented in Lorene::Tensor_sym, and Lorene::Vector.

Definition at line 539 of file tensor.C.

References n_comp, Lorene::Itbl::set(), and valence.

◆ indices() [2/2]

Itbl Lorene::Tensor_sym::indices ( int pos ) const

virtual

Returns the indices of a component given by its position in the array cmp .

Parameters

pos	[input] position in the array `cmp` of the pointer to the `Scalar` representing a component

Returns

1-D array of integers (class Itbl ) of size valence giving the value of each index for the component located at the position pos in the array cmp, with the following storage convention:

Itbl(0) : value of the first index (1, 2 or 3)
Itbl(1) : value of the second index (1, 2 or 3)
and so on...

Reimplemented from Lorene::Tensor.

Definition at line 310 of file tensor_sym.C.

References id_sym1, id_sym2, Lorene::Tensor::n_comp, Lorene::Itbl::set(), and Lorene::Tensor::valence.

◆ operator()() [1/4]

const Scalar & Lorene::Tensor::operator() ( const Itbl & ind ) const

Returns the value of a component (read-only version).

Parameters

ind	1-D `Itbl` of size `valence` containing the values of each index specifing the component, with the following storage convention: `ind(0)` : value of the first index (1, 2 or 3) `ind(1)` : value of the second index (1, 2 or 3) and so on...

Returns: reference on the component specified by ind

Definition at line 798 of file tensor.C.

References cmp, Lorene::Itbl::get_dim(), Lorene::Itbl::get_ndim(), position(), and valence.

◆ operator()() [2/4]

const Scalar & Lorene::Tensor::operator()	(	int	i1,
		int	i2 ) const

Returns the value of a component for a tensor of valence 2 (read-only version).

Parameters

i1	value of the first index (1, 2 or 3)
i2	value of the second index (1, 2 or 3)

Returns: reference on the component specified by (i1,i2)

Definition at line 760 of file tensor.C.

References cmp, position(), Lorene::Itbl::set(), and valence.

◆ operator()() [3/4]

const Scalar & Lorene::Tensor::operator()	(	int	i1,
		int	i2,
		int	i3 ) const

Returns the value of a component for a tensor of valence 3 (read-only version).

Parameters

i1	value of the first index (1, 2 or 3)
i2	value of the second index (1, 2 or 3)
i3	value of the third index (1, 2 or 3)

Returns: reference on the component specified by (i1,i2,i3)

Definition at line 771 of file tensor.C.

References cmp, position(), Lorene::Itbl::set(), and valence.

◆ operator()() [4/4]

const Scalar & Lorene::Tensor::operator()	(	int	i1,
		int	i2,
		int	i3,
		int	i4 ) const

Returns the value of a component for a tensor of valence 4 (read-only version).

Parameters

i1	value of the first index (1, 2 or 3)
i2	value of the second index (1, 2 or 3)
i3	value of the third index (1, 2 or 3)
i4	value of the fourth index (1, 2 or 3)

Returns: reference on the component specified by (i1,i2,i3,i4)

Definition at line 783 of file tensor.C.

References cmp, position(), Lorene::Itbl::set(), and valence.

◆ operator*() [1/12]

Tensor Lorene::operator*	(	const Scalar &	a,
		const Tensor &	b )

Scalar * Tensor.

Definition at line 188 of file tensor_arithm.C.

References Lorene::Scalar::get_etat(), Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor::indices(), and Lorene::Tensor::set().

◆ operator*() [2/12]

Tensor_sym Lorene::operator*	(	const Scalar &	a,
		const Tensor_sym &	b )

Scalar * Tensor_sym.

For efficiency reasons this function is distinct from Tensor operator*(const Scalar&, const Tensor&) .

Definition at line 152 of file tensor_sym_arithm.C.

References Lorene::Scalar::get_etat(), Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor_sym::indices(), Lorene::Tensor::set(), Lorene::Tensor_sym::sym_index1(), and Lorene::Tensor_sym::sym_index2().

◆ operator*() [3/12]

Tensor Lorene::operator*	(	const Tensor &	t,
		double	x )

Tensor * double.

Definition at line 228 of file tensor_arithm.C.

References x.

◆ operator*() [4/12]

Tensor Lorene::operator*	(	const Tensor &	t,
		int	m )

Tensor * int.

Definition at line 237 of file tensor_arithm.C.

◆ operator*() [5/12]

Tensor Lorene::operator*	(	const Tensor &	a,
		const Scalar &	b )

Tensor * Scalar.

Definition at line 206 of file tensor_arithm.C.

◆ operator*() [6/12]

Tensor_sym Lorene::operator*	(	const Tensor_sym &	t,
		double	x )

Tensor_sym * double.

For efficiency reasons this function is distinct from Tensor operator*(const Tensor&, double) .

Definition at line 192 of file tensor_sym_arithm.C.

References x.

◆ operator*() [7/12]

Tensor_sym Lorene::operator*	(	const Tensor_sym &	t,
		int	m )

Tensor_sym * int.

For efficiency reasons this function is distinct from Tensor operator*(const Tensor&, int) .

Definition at line 202 of file tensor_sym_arithm.C.

◆ operator*() [8/12]

Tensor_sym Lorene::operator*	(	const Tensor_sym &	a,
		const Scalar &	b )

Tensor_sym * Scalar.

For efficiency reasons this function is distinct from Tensor operator*(const Tensor&, const Scalar&) .

Definition at line 170 of file tensor_sym_arithm.C.

◆ operator*() [9/12]

Tensor Lorene::operator*	(	double	x,
		const Tensor &	t )

double * Tensor

Definition at line 213 of file tensor_arithm.C.

References Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor::indices(), Lorene::Tensor::set(), and x.

◆ operator*() [10/12]

Tensor_sym Lorene::operator*	(	double	x,
		const Tensor_sym &	tt )

double * Tensor_sym.

For efficiency reasons this function is distinct from Tensor operator*(double, const Tensor&) .

Definition at line 177 of file tensor_sym_arithm.C.

References Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor_sym::indices(), Lorene::Tensor::set(), Lorene::Tensor_sym::sym_index1(), Lorene::Tensor_sym::sym_index2(), and x.

◆ operator*() [11/12]

Tensor Lorene::operator*	(	int	m,
		const Tensor &	t )

int* Tensor

Definition at line 232 of file tensor_arithm.C.

◆ operator*() [12/12]

Tensor_sym Lorene::operator*	(	int	m,
		const Tensor_sym &	t )

int * Tensor_sym.

For efficiency reasons this function is distinct from Tensor operator*(int, const Tensor&) .

Definition at line 197 of file tensor_sym_arithm.C.

◆ operator+() [1/6]

Scalar Lorene::operator+	(	const Scalar &	a,
		const Tensor &	b )

Scalar + Tensor. The Tensor must be of valence 0.

Definition at line 129 of file tensor_arithm.C.

◆ operator+() [2/6]

Tensor Lorene::operator+ ( const Tensor & t )

Tensor

Definition at line 74 of file tensor_arithm.C.

◆ operator+() [3/6]

Scalar Lorene::operator+	(	const Tensor &	a,
		const Scalar &	b )

Tensor + Scalar. The Tensor must be of valence 0.

Definition at line 120 of file tensor_arithm.C.

◆ operator+() [4/6]

Tensor Lorene::operator+	(	const Tensor &	a,
		const Tensor &	b )

Tensor + Tensor.

Definition at line 97 of file tensor_arithm.C.

References Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor::indices(), and Lorene::Tensor::set().

◆ operator+() [5/6]

Tensor_sym Lorene::operator+ ( const Tensor_sym & t )

Tensor_sym. For efficiency reasons this function is distinct from Tensor operator+(const Tensor& ) .

Definition at line 63 of file tensor_sym_arithm.C.

◆ operator+() [6/6]

Tensor_sym Lorene::operator+	(	const Tensor_sym &	t1,
		const Tensor_sym &	t2 )

Tensor_sym + Tensor_sym.

For efficiency reasons this function is distinct from Tensor operator+(const Tensor&, const Tensor& ).

Definition at line 88 of file tensor_sym_arithm.C.

References Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor_sym::indices(), Lorene::Tensor::set(), Lorene::Tensor_sym::sym_index1(), and Lorene::Tensor_sym::sym_index2().

◆ operator+=()

void Lorene::Tensor::operator+= ( const Tensor & t )

+= Tensor

Definition at line 571 of file tensor.C.

References cmp, del_deriv(), indices(), n_comp, position(), Tensor(), triad, type_indice, and valence.

◆ operator-() [1/6]

Scalar Lorene::operator-	(	const Scalar &	a,
		const Tensor &	b )

Scalar - Tensor. The Tensor must be of valence 0.

Definition at line 173 of file tensor_arithm.C.

◆ operator-() [2/6]

Tensor Lorene::operator- ( const Tensor & t )

- Tensor

Definition at line 80 of file tensor_arithm.C.

References Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor::indices(), and Lorene::Tensor::set().

◆ operator-() [3/6]

Scalar Lorene::operator-	(	const Tensor &	a,
		const Scalar &	b )

Tensor - Scalar. The Tensor must be of valence 0.

Definition at line 164 of file tensor_arithm.C.

◆ operator-() [4/6]

Tensor Lorene::operator-	(	const Tensor &	a,
		const Tensor &	b )

Tensor - Tensor.

Definition at line 142 of file tensor_arithm.C.

References Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor::indices(), and Lorene::Tensor::set().

◆ operator-() [5/6]

Tensor_sym Lorene::operator- ( const Tensor_sym & tt )

Tensor_sym. For efficiency reasons this function is distinct from Tensor operator+(const Tensor& ).

Definition at line 70 of file tensor_sym_arithm.C.

References Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor_sym::indices(), Lorene::Tensor::set(), Lorene::Tensor_sym::sym_index1(), and Lorene::Tensor_sym::sym_index2().

◆ operator-() [6/6]

Tensor_sym Lorene::operator-	(	const Tensor_sym &	t1,
		const Tensor_sym &	t2 )

Tensor_sym - Tensor_sym.

For efficiency reasons this function is distinct from Tensor operator-(const Tensor&, const Tensor&) .

Definition at line 119 of file tensor_sym_arithm.C.

References Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor_sym::indices(), Lorene::Tensor::set(), Lorene::Tensor_sym::sym_index1(), and Lorene::Tensor_sym::sym_index2().

◆ operator-=()

void Lorene::Tensor::operator-= ( const Tensor & t )

-= Tensor

Definition at line 587 of file tensor.C.

References cmp, del_deriv(), indices(), n_comp, position(), Tensor(), triad, type_indice, and valence.

◆ operator/() [1/6]

Tensor Lorene::operator/	(	const Tensor &	t1,
		const Scalar &	s2 )

Tensor / Scalar.

Definition at line 246 of file tensor_arithm.C.

References Lorene::Scalar::get_etat(), Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor::indices(), and Lorene::Tensor::set().

◆ operator/() [2/6]

Tensor Lorene::operator/	(	const Tensor &	t,
		double	x )

Tensor / double.

Definition at line 272 of file tensor_arithm.C.

References Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor::indices(), Lorene::Tensor::set(), and x.

◆ operator/() [3/6]

Tensor Lorene::operator/	(	const Tensor &	t,
		int	m )

Tensor / int.

Definition at line 294 of file tensor_arithm.C.

◆ operator/() [4/6]

Tensor_sym Lorene::operator/	(	const Tensor_sym &	t1,
		const Scalar &	s2 )

Tensor_sym / Scalar.

For efficiency reasons this function is distinct from Tensor operator/(const Tensor&, const Scalar&) .

Definition at line 211 of file tensor_sym_arithm.C.

References Lorene::Scalar::get_etat(), Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor_sym::indices(), Lorene::Tensor::set(), Lorene::Tensor_sym::sym_index1(), and Lorene::Tensor_sym::sym_index2().

◆ operator/() [5/6]

Tensor_sym Lorene::operator/	(	const Tensor_sym &	tt,
		double	x )

Tensor_sym / double.

For efficiency reasons this function is distinct from Tensor operator/(const Tensor&, double) .

Definition at line 238 of file tensor_sym_arithm.C.

References Lorene::Tensor::get_index_type(), Lorene::Tensor::get_mp(), Lorene::Tensor::get_n_comp(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), Lorene::Tensor_sym::indices(), Lorene::Tensor::set(), Lorene::Tensor_sym::sym_index1(), Lorene::Tensor_sym::sym_index2(), and x.

◆ operator/() [6/6]

Tensor_sym Lorene::operator/	(	const Tensor_sym &	t,
		int	m )

Tensor_sym / int.

For efficiency reasons this function is distinct from Tensor operator/(const Tensor&, int) .

Definition at line 261 of file tensor_sym_arithm.C.

◆ operator=() [1/3]

void Lorene::Tensor::operator= ( const Tensor & t )

virtual

Assignment to a Tensor.

Reimplemented in Lorene::Scalar, Lorene::Sym_tensor, Lorene::Sym_tensor_trans, Lorene::Sym_tensor_tt, Lorene::Tensor_sym, Lorene::Vector, and Lorene::Vector_divfree.

Definition at line 553 of file tensor.C.

References cmp, del_deriv(), indices(), n_comp, position(), Tensor(), triad, type_indice, and valence.

◆ operator=() [2/3]

void Lorene::Tensor_sym::operator= ( const Tensor & a )

virtual

Assignment to a Tensor NB: the symmetry about the indices id_sym1 and id_sym2 of the input tensor is assumed but is not checked.

Reimplemented from Lorene::Tensor.

Reimplemented in Lorene::Sym_tensor, Lorene::Sym_tensor_trans, and Lorene::Sym_tensor_tt.

Definition at line 218 of file tensor_sym.C.

References Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::get_triad(), Lorene::Tensor::get_valence(), id_sym1, id_sym2, indices(), Lorene::Tensor::n_comp, Lorene::Tensor::position(), Lorene::Tensor::Tensor(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.

◆ operator=() [3/3]

void Lorene::Tensor_sym::operator= ( const Tensor_sym & a )

virtual

Assignment to another Tensor_sym.

Reimplemented in Lorene::Sym_tensor, Lorene::Sym_tensor_trans, and Lorene::Sym_tensor_tt.

Definition at line 198 of file tensor_sym.C.

References Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), id_sym1, id_sym2, indices(), Lorene::Tensor::n_comp, position(), Tensor_sym(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.

◆ position() [1/2]

int Lorene::Tensor::position ( const Itbl & ind ) const

virtual

Returns the position in the array cmp of a component given by its indices.

Parameters

ind	[input] 1-D array of integers (class `Itbl` ) of size `valence` giving the values of each index specifing the component, with the following storage convention: `ind(0)` : value of the first index (1, 2 or 3) `ind(1)` : value of the second index (1, 2 or 3) and so on...

Returns: position in the array cmp of the pointer to the Scalar containing the component specified by ind

Reimplemented in Lorene::Tensor_sym, and Lorene::Vector.

Definition at line 525 of file tensor.C.

References Lorene::Itbl::get_dim(), Lorene::Itbl::get_ndim(), and valence.

◆ position() [2/2]

int Lorene::Tensor_sym::position ( const Itbl & ind ) const

virtual

Returns the position in the array cmp of a component given by its indices.

Parameters

ind	[input] 1-D array of integers (class `Itbl` ) of size `valence` giving the values of each index specifing the component, with the following storage convention: `ind(0)` : value of the first index (1, 2 or 3) `ind(1)` : value of the second index (1, 2 or 3) and so on...

Returns: position in the array cmp of the pointer to the Scalar containing the component specified by ind

Reimplemented from Lorene::Tensor.

Definition at line 245 of file tensor_sym.C.

References Lorene::Itbl::get_dim(), Lorene::Itbl::get_ndim(), id_sym1, id_sym2, Lorene::Itbl::set(), and Lorene::Tensor::valence.

◆ sauve() [1/2]

void Lorene::Tensor::sauve ( FILE * fd ) const

virtual

Save in a binary file.

Reimplemented in Lorene::Scalar, and Lorene::Tensor_sym.

Definition at line 906 of file tensor.C.

References cmp, Lorene::fwrite_be(), n_comp, sauve(), triad, type_indice, and valence.

◆ sauve() [2/2]

void Lorene::Tensor_sym::sauve ( FILE * fd ) const

virtual

Save in a binary file.

Reimplemented from Lorene::Tensor.

Definition at line 372 of file tensor_sym.C.

References Lorene::fwrite_be(), id_sym1, id_sym2, and Lorene::Tensor::sauve().

◆ set() [1/4]

Scalar & Lorene::Tensor::set ( const Itbl & ind )

Returns the value of a component (read/write version).

Parameters

ind	1-D `Itbl` of size `valence` containing the values of each index specifing the component, with the following storage convention: `ind(0)` : value of the first index (1, 2 or 3) `ind(1)` : value of the second index (1, 2 or 3) and so on...

Returns: modifiable reference on the component specified by ind

Definition at line 654 of file tensor.C.

References cmp, del_deriv(), Lorene::Itbl::get_dim(), Lorene::Itbl::get_ndim(), position(), and valence.

◆ set() [2/4]

Scalar & Lorene::Tensor::set	(	int	i1,
		int	i2 )

Returns the value of a component for a tensor of valence 2 (read/write version).

Parameters

i1	value of the first index (1, 2 or 3)
i2	value of the second index (1, 2 or 3)

Returns: modifiable reference on the component specified by (i1,i2)

Definition at line 606 of file tensor.C.

References cmp, del_deriv(), position(), Lorene::Itbl::set(), and valence.

◆ set() [3/4]

Scalar & Lorene::Tensor::set	(	int	i1,
		int	i2,
		int	i3 )

Returns the value of a component for a tensor of valence 3 (read/write version).

Parameters

i1	value of the first index (1, 2 or 3)
i2	value of the second index (1, 2 or 3)
i3	value of the third index (1, 2 or 3)

Returns: modifiable reference on the component specified by (i1,i2,i3)

Definition at line 621 of file tensor.C.

References cmp, del_deriv(), position(), Lorene::Itbl::set(), and valence.

◆ set() [4/4]

Scalar & Lorene::Tensor::set	(	int	i1,
		int	i2,
		int	i3,
		int	i4 )

Returns the value of a component for a tensor of valence 4 (read/write version).

Parameters

i1	value of the first index (1, 2 or 3)
i2	value of the second index (1, 2 or 3)
i3	value of the third index (1, 2 or 3)
i4	value of the fourth index (1, 2 or 3)

Returns: modifiable reference on the component specified by (i1,i2,i3,i4)

Definition at line 637 of file tensor.C.

References cmp, del_deriv(), position(), Lorene::Itbl::set(), and valence.

◆ set_dependance()

void Lorene::Tensor::set_dependance ( const Metric & met ) const

protected

To be used to describe the fact that the derivatives members have been calculated with met .

First it sets a null element of met_depend to &met and puts this in the list of the dependancies of met .

Definition at line 453 of file tensor.C.

References met_depend, and Lorene::Metric::tensor_depend.

◆ set_der_0x0()

void Lorene::Tensor::set_der_0x0 ( ) const

protected

Sets the pointers on derived quantities to 0x0.

Definition at line 407 of file tensor.C.

References set_der_met_0x0().

◆ set_der_met_0x0()

void Lorene::Tensor::set_der_met_0x0 ( int i ) const

protected

Sets all the i-th components of met_depend , p_derive_cov , etc... to 0x0.

Definition at line 433 of file tensor.C.

References met_depend, p_derive_con, p_derive_cov, and p_divergence.

◆ set_etat_nondef()

void Lorene::Tensor::set_etat_nondef ( )

virtual

Sets the logical state of all components to ETATNONDEF
(undefined state).

Reimplemented in Lorene::Scalar.

Definition at line 489 of file tensor.C.

References cmp, del_deriv(), and n_comp.

◆ set_etat_qcq()

void Lorene::Tensor::set_etat_qcq ( )

virtual

Sets the logical state of all components to ETATQCQ
(ordinary state).

Reimplemented in Lorene::Scalar.

Definition at line 481 of file tensor.C.

References cmp, del_deriv(), and n_comp.

◆ set_etat_zero()

void Lorene::Tensor::set_etat_zero ( )

virtual

Sets the logical state of all components to ETATZERO
(zero state).

Reimplemented in Lorene::Scalar.

Definition at line 497 of file tensor.C.

References cmp, del_deriv(), and n_comp.

◆ set_index_type() [1/2]

Itbl & Lorene::Tensor::set_index_type ( )

inline

Sets the types of all the indices.

Returns: a reference on the 1-D array of integers (class Itbl ) of size valence that can be modified (COV for a covariant one and CON for a contravariant one)

Definition at line 918 of file tensor.h.

References type_indice.

◆ set_index_type() [2/2]

int & Lorene::Tensor::set_index_type ( int i )

inline

Sets the type of the index number i .

i must be strictly lower than valence and obey the following convention:

i = 0 : first index
i = 1 : second index
and so on...

Returns: reference on the type that can be modified (COV for a covariant index, CON for a contravariant one)

Definition at line 909 of file tensor.h.

References type_indice.

◆ set_triad()

void Lorene::Tensor::set_triad ( const Base_vect & new_triad )

Assigns a new vectorial basis (triad) of decomposition.

NB: this function modifies only the member triad and leave unchanged the components (member cmp ). In order to change them coherently with the new basis, the function change_triad(const Base_vect& ) must be called instead.

Definition at line 519 of file tensor.C.

References triad.

◆ spectral_display()

void Lorene::Tensor::spectral_display	(	const char *	comment = 0x0,
		double	threshold = 1.e-7,
		int	precision = 4,
		ostream &	ostr = cout ) const

virtual

Displays the spectral coefficients and the associated basis functions of each component.

This function shows only the values greater than a given threshold.

Parameters

comment	comment to be printed at top of the display (default: 0x0 = nothing printed)
threshold	[input] Value above which a coefficient is printed (default: 1.e-7)
precision	[input] Number of printed digits (default: 4)
ostr	[input] Output stream used for the printing (default: cout)

Reimplemented in Lorene::Scalar.

Definition at line 874 of file tensor.C.

References cmp, indices(), n_comp, and valence.

◆ std_spectral_base()

void Lorene::Tensor::std_spectral_base ( )

virtual

Sets the standard spectal bases of decomposition for each component.

To be used only with valence lower than or equal 2.

Reimplemented in Lorene::Scalar, and Lorene::Vector.

Definition at line 926 of file tensor.C.

References cmp, indices(), mp, n_comp, triad, and valence.

◆ std_spectral_base_odd()

void Lorene::Tensor::std_spectral_base_odd ( )

virtual

Sets the standard odd spectal bases of decomposition for each component.

Currently only implemented for a scalar.

Reimplemented in Lorene::Scalar.

Definition at line 982 of file tensor.C.

References cmp, and valence.

◆ sym_index1()

int Lorene::Tensor_sym::sym_index1 ( ) const

inline

Number of the first symmetric index (0<= id_sym1 < valence ).

Definition at line 1149 of file tensor.h.

References id_sym1.

◆ sym_index2()

int Lorene::Tensor_sym::sym_index2 ( ) const

inline

Number of the second symmetric index (id_sym1 < id_sym2 < valence ).

Definition at line 1154 of file tensor.h.

References id_sym2.

◆ Tensor() [1/8]

Lorene::Tensor::Tensor ( const Map & map )

explicitprotected

Constructor for a scalar field: to be used only by the derived class Scalar .

Definition at line 322 of file tensor.C.

References cmp, Lorene::Map(), mp, n_comp, set_der_0x0(), triad, type_indice, and valence.

◆ Tensor() [2/8]

Lorene::Tensor::Tensor	(	const Map &	map,
		const Base_vect &	triad_i,
		FILE *	fich )

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

Parameters

map	the mapping
triad_i	vectorial basis (triad) with respect to which the tensor components are defined. It will be checked that it coincides with the basis saved in the file.
fich	file which has been created by the function `sauve(FILE*)` .

Definition at line 295 of file tensor.C.

References Lorene::Base_vect::bvect_from_file(), cmp, Lorene::fread_be(), Lorene::Map(), mp, n_comp, set_der_0x0(), triad, type_indice, and valence.

◆ Tensor() [3/8]

Lorene::Tensor::Tensor	(	const Map &	map,
		int	val,
		const Itbl &	tipe,
		const Base_vect &	triad_i )

Standard constructor.

Parameters

map	the mapping
val	valence of the tensor
tipe	1-D array of integers (class `Itbl` ) of size `valence` containing the type of each index, `COV` for a covariant one and `CON` for a contravariant one, with the following storage convention: `tipe(0)` : type of the first index `tipe(1)` : type of the second index and so on...
triad_i	vectorial basis (triad) with respect to which the tensor components are defined

Definition at line 202 of file tensor.C.

References cmp, Lorene::Itbl::get_dim(), Lorene::Itbl::get_ndim(), Lorene::Map(), mp, n_comp, Lorene::pow(), set_der_0x0(), triad, type_indice, and valence.

◆ Tensor() [4/8]

Lorene::Tensor::Tensor	(	const Map &	map,
		int	val,
		const Itbl &	tipe,
		const Base_vect *	triad_i )

Standard constructor with the triad passed as a pointer.

Parameters

map	the mapping
val	valence of the tensor
tipe	1-D array of integers (class `Itbl` ) of size `valence` containing the type of each index, `COV` for a covariant one and `CON` for a contravariant one, with the following storage convention: `tipe(0)` : type of the first index `tipe(1)` : type of the second index and so on...
triad_i	pointer on the vectorial basis (triad) with respect to which the tensor components are defined (can be set to 0x0 for a scalar field)

Definition at line 225 of file tensor.C.

References cmp, Lorene::Itbl::get_dim(), Lorene::Itbl::get_ndim(), Lorene::Map(), mp, n_comp, Lorene::pow(), set_der_0x0(), triad, type_indice, and valence.

◆ Tensor() [5/8]

Lorene::Tensor::Tensor	(	const Map &	map,
		int	val,
		const Itbl &	tipe,
		int	n_comp_i,
		const Base_vect &	triad_i )

protected

Constructor to be used by derived classes, with symmetries among the components.

The number of independent components is given as an argument (n_comp_i ), and not computed from the valence, as in the standard constructor.

Parameters

map	the mapping
val	valence of the tensor
tipe	1-D array of integers (class `Itbl` ) of size `valence` containing the type of each index, `COV` for a covariant one and `CON` for a contravariant one, with the following storage convention: `tipe(0)` : type of the first index `tipe(1)` : type of the second index and so on...
n_comp_i	number of components to be stored
triad_i	vectorial basis (triad) with respect to which the tensor components are defined

Definition at line 334 of file tensor.C.

References cmp, Lorene::Itbl::get_dim(), Lorene::Itbl::get_ndim(), Lorene::Map(), mp, n_comp, set_der_0x0(), triad, type_indice, and valence.

◆ Tensor() [6/8]

Lorene::Tensor::Tensor	(	const Map &	map,
		int	val,
		int	tipe,
		const Base_vect &	triad_i )

Standard constructor when all the indices are of the same type.

Parameters

map	the mapping
val	valence of the tensor
tipe	the type (`COV` or `CON` ) of the indices.
triad_i	vectorial basis (triad) with respect to which the tensor components are defined.

Definition at line 251 of file tensor.C.

References cmp, Lorene::Map(), mp, n_comp, Lorene::pow(), set_der_0x0(), triad, type_indice, and valence.

◆ Tensor() [7/8]

Lorene::Tensor::Tensor	(	const Map &	map,
		int	val,
		int	tipe,
		int	n_comp_i,
		const Base_vect &	triad_i )

protected

Constructor used by derived classes, with symmetries among the components, when all the indices are of the same type.

The number of independent components is given as a argument (n_comp_i ), and not computed from the valence, as in the standard constructor.

Parameters

map	the mapping
val	valence of the tensor
tipe	the type of the indices.
n_comp_i	number of components to be stored
triad_i	vectorial basis (triad) with respect to which the tensor components are defined

Definition at line 359 of file tensor.C.

References cmp, Lorene::Map(), mp, n_comp, set_der_0x0(), triad, type_indice, and valence.

◆ Tensor() [8/8]

Lorene::Tensor::Tensor ( const Tensor & source )

Copy constructor.

Definition at line 271 of file tensor.C.

References cmp, indices(), mp, n_comp, position(), Lorene::pow(), set_der_0x0(), Tensor(), triad, type_indice, and valence.

◆ Tensor_sym() [1/5]

Lorene::Tensor_sym::Tensor_sym	(	const Map &	map,
		const Base_vect &	triad_i,
		FILE *	fich )

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

Parameters

map	the mapping
triad_i	vectorial basis (triad) with respect to which the tensor components are defined. It will be checked that it coincides with the basis saved in the file.
fich	file which has been created by the function `sauve(FILE*)`.

Definition at line 174 of file tensor_sym.C.

References Lorene::fread_be(), id_sym1, id_sym2, Lorene::Map(), Lorene::Tensor::Tensor(), and Lorene::Tensor::type_indice.

◆ Tensor_sym() [2/5]

Lorene::Tensor_sym::Tensor_sym	(	const Map &	map,
		int	tipe0,
		int	tipe1,
		int	tipe2,
		const Base_vect &	triad_i,
		int	index_sym1,
		int	index_sym2 )

Constructor for a valence 3 symmetric tensor.

Parameters

map	the mapping
tipe0	type (`COV` or `CON` ) of the first index.
tipe1	type (`COV` or `CON` ) of the second index.
tipe2	type (`COV` or `CON` ) of the third index.
triad_i	vectorial basis (triad) with respect to which the tensor components are defined.
index_sym1	number of the first symmetric index (`0<=` `index_sym1` `<=2` )
index_sym2	number of the second symmetric index (`index_sym1` < `index_sym2` `<=2` )

Definition at line 120 of file tensor_sym.C.

References id_sym1, id_sym2, Lorene::Map(), Lorene::Tensor::Tensor(), and Lorene::Tensor::type_indice.

◆ Tensor_sym() [3/5]

Lorene::Tensor_sym::Tensor_sym	(	const Map &	map,
		int	val,
		const Itbl &	tipe,
		const Base_vect &	triad_i,
		int	index_sym1,
		int	index_sym2 )

Standard constructor.

Parameters

map	the mapping
val	valence of the tensor (must be at least 2)
tipe	1-D array of integers (class `Itbl` ) of size `valence` containing the type of each index, `COV` for a covariant one and `CON` for a contravariant one, with the following storage convention: `tipe(0)` : type of the first index `tipe(1)` : type of the second index and so on...
triad_i	vectorial basis (triad) with respect to which the tensor components are defined
index_sym1	number of the first symmetric index (`0<=` `index_sym1` < `valence` )
index_sym2	number of the second symmetric index (`index_sym1` < `index_sym2` < `valence` )

Definition at line 69 of file tensor_sym.C.

References id_sym1, id_sym2, Lorene::Map(), Lorene::pow(), Lorene::Tensor::Tensor(), and Lorene::Tensor::valence.

◆ Tensor_sym() [4/5]

Lorene::Tensor_sym::Tensor_sym	(	const Map &	map,
		int	val,
		int	tipe,
		const Base_vect &	triad_i,
		int	index_sym1,
		int	index_sym2 )

Standard constructor when all the indices are of the same type.

Parameters

map	the mapping
val	valence of the tensor (must be at least 2)
tipe	the type (`COV` or `CON` ) of the indices.
triad_i	vectorial basis (triad) with respect to which the tensor components are defined.
index_sym1	number of the first symmetric index (`0<=` `index_sym1` < `valence` )
index_sym2	number of the second symmetric index (`index_sym1` < `index_sym2` < `valence` )

Definition at line 97 of file tensor_sym.C.

References id_sym1, id_sym2, Lorene::Map(), Lorene::pow(), Lorene::Tensor::Tensor(), and Lorene::Tensor::valence.

◆ Tensor_sym() [5/5]

Lorene::Tensor_sym::Tensor_sym ( const Tensor_sym & a )

Copy constructor.

Definition at line 152 of file tensor_sym.C.

References Lorene::Tensor::cmp, id_sym1, id_sym2, indices(), Lorene::Tensor::mp, Lorene::Tensor::n_comp, position(), Lorene::pow(), Lorene::Tensor::Tensor(), Tensor_sym(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.

◆ trace() [1/4]

Scalar Lorene::Tensor::trace ( ) const

Trace on two different type indices for a valence 2 tensor.

Definition at line 180 of file tensor_calculus.C.

References mp, operator()(), Lorene::Scalar::set_etat_zero(), type_indice, and valence.

◆ trace() [2/4]

Scalar Lorene::Tensor::trace ( const Metric & gam ) const

Trace with respect to a given metric for a valence 2 tensor.

Parameters

gam	metric used to raise or lower one of the indices, in order to take the trace

Definition at line 197 of file tensor_calculus.C.

References Lorene::Metric::con(), Lorene::contract(), Lorene::Metric::cov(), trace(), type_indice, and valence.

◆ trace() [3/4]

Tensor Lorene::Tensor::trace	(	int	ind1,
		int	ind2 ) const

Trace on two different type indices.

Parameters

ind1	first index for the contraction, with the following convention : `ind1` = 0 : first index of the tensor `ind1` = 1 : second index of the tensor and so on...
ind2	second index for the contraction

Definition at line 94 of file tensor_calculus.C.

References cmp, get_n_comp(), indices(), mp, position(), Lorene::Itbl::set(), set(), Lorene::Scalar::set_etat_zero(), Tensor(), triad, type_indice, and valence.

◆ trace() [4/4]

Tensor Lorene::Tensor::trace	(	int	ind1,
		int	ind2,
		const Metric &	gam ) const

Trace with respect to a given metric.

Parameters

ind1	first index for the contraction, with the following convention : `ind1` = 0 : first index of the tensor `ind1` = 1 : second index of the tensor and so on...
ind2	second index for the contraction
gam	metric used to raise or lower ind1 in order that it has a opposite type than ind2

Definition at line 153 of file tensor_calculus.C.

References Lorene::Metric::con(), Lorene::contract(), Lorene::Metric::cov(), Tensor(), trace(), type_indice, and valence.

◆ up()

Tensor Lorene::Tensor::up	(	int	ind,
		const Metric &	gam ) const

Computes a new tensor by raising an index of *this.

Parameters

ind	index to be raised, with the following convention : `ind1` = 0 : first index of the tensor `ind1` = 1 : second index of the tensor and so on... (`ind` must be of covariant type (`COV` )).
gam	metric used to raise the index (contraction with the twice contravariant form of the metric on the index `ind` ).

Definition at line 225 of file tensor_calculus.C.

References Lorene::Metric::con(), Lorene::contract(), indices(), mp, n_comp, Lorene::Itbl::set(), set(), Tensor(), triad, type_indice, and valence.

◆ up_down()

Tensor Lorene::Tensor::up_down ( const Metric & gam ) const

Computes a new tensor by raising or lowering all the indices of *this .

Parameters

gam	metric used to lower the contravariant indices and raising the covariant ones.

Definition at line 305 of file tensor_calculus.C.

References down(), Tensor(), type_indice, up(), and valence.

◆ ~Tensor()

Lorene::Tensor::~Tensor ( )

virtual

Destructor.

Definition at line 385 of file tensor.C.

References cmp, del_deriv(), and n_comp.

◆ ~Tensor_sym()

Lorene::Tensor_sym::~Tensor_sym ( )

virtual

Destructor.

Definition at line 189 of file tensor_sym.C.

Variable Documentation

◆ cmp

Scalar** Lorene::Tensor::cmp

protected

Array of size n_comp of pointers onto the components.

Definition at line 315 of file tensor.h.

◆ id_sym1

int Lorene::Tensor_sym::id_sym1

protected

Number of the first symmetric index (0<= id_sym1 < valence ).

Definition at line 1044 of file tensor.h.

◆ id_sym2

int Lorene::Tensor_sym::id_sym2

protected

Number of the second symmetric index (id_sym1 < id_sym2 < valence ).

Definition at line 1049 of file tensor.h.

◆ met_depend

const Metric* Lorene::Tensor::met_depend[N_MET_MAX]

mutableprotected

Array on the Metric 's which were used to compute derived quantities, like p_derive_cov , etc... The i-th element of this array is the Metric used to compute the i-th element of p_derive_cov , etc.

Definition at line 327 of file tensor.h.

◆ mp

const Map* const Lorene::Tensor::mp

protected

Mapping on which the numerical values at the grid points are defined.

Definition at line 295 of file tensor.h.

◆ n_comp

int Lorene::Tensor::n_comp

protected

Number of stored components, depending on the symmetry.

Definition at line 312 of file tensor.h.

◆ p_derive_con

Tensor* Lorene::Tensor::p_derive_con[N_MET_MAX]

mutableprotected

Array of pointers on the contravariant derivatives of this with respect to various metrics.

See the comments of met_depend . See also the comments of method derive_con() for a precise definition of a "contravariant" derivative.

Definition at line 343 of file tensor.h.

◆ p_derive_cov

Tensor* Lorene::Tensor::p_derive_cov[N_MET_MAX]

mutableprotected

Array of pointers on the covariant derivatives of this with respect to various metrics.

See the comments of met_depend . See also the comments of method derive_cov() for the index convention of the covariant derivation.

Definition at line 335 of file tensor.h.

◆ p_divergence

Tensor* Lorene::Tensor::p_divergence[N_MET_MAX]

mutableprotected

Array of pointers on the divergence of this with respect to various metrics.

See the comments of met_depend . See also the comments of method divergence() for a precise definition of a the divergence with respect to a given metric.

Definition at line 351 of file tensor.h.

◆ triad

const Base_vect* Lorene::Tensor::triad

protected

Vectorial basis (triad) with respect to which the tensor components are defined.

Definition at line 303 of file tensor.h.

◆ type_indice

Itbl Lorene::Tensor::type_indice

protected

1D array of integers (class Itbl ) of size valence
containing the type of each index: COV for a covariant one and CON for a contravariant one.

Definition at line 310 of file tensor.h.

◆ valence

int Lorene::Tensor::valence

protected

Valence of the tensor (0 = scalar, 1 = vector, etc...).

Definition at line 298 of file tensor.h.

Friends

◆ Metric

friend class Metric

friend

Definition at line 1004 of file tensor.h.

◆ operator* [1/6]

Tensor operator*	(	const Tensor &	a,
		const Tensor &	b )

friend

Tensorial product.

Definition at line 107 of file tensor_calculus_ext.C.

References get_triad(), indices(), mp, n_comp, Lorene::Itbl::set(), set(), Tensor(), type_indice, and valence.

◆ operator* [2/6]

Tensor_sym operator*	(	const Tensor &	a,
		const Tensor_sym &	b )

friend

Tensorial product with symmetries.

Definition at line 108 of file tensor_sym_calculus.C.

References get_triad(), Lorene::Tensor_sym::indices(), mp, n_comp, Lorene::Itbl::set(), set(), Lorene::Tensor_sym::sym_index1(), Lorene::Tensor_sym::sym_index2(), Tensor(), type_indice, and valence.

◆ operator* [3/6]

Tensor_sym operator*	(	const Tensor_sym &	a,
		const Tensor &	b )

friend

Tensorial product with symmetries.

Definition at line 68 of file tensor_sym_calculus.C.

References get_triad(), Lorene::Tensor_sym::indices(), mp, n_comp, Lorene::Itbl::set(), set(), Lorene::Tensor_sym::sym_index1(), Lorene::Tensor_sym::sym_index2(), Tensor(), type_indice, and valence.

◆ operator* [4/6]

Tensor_sym operator*	(	const Tensor_sym &	a,
		const Tensor_sym &	b )

friend

Tensorial product of two symmetric tensors.

NB: the output is an object of class Tensor_sym , with the two symmetric indices corresponding to the symmetric indices of tensor a . This means that the symmetries of tensor b indices are not used in the storage, since there is currently no class in Lorene to manage tensors with more than two symmetric indices.

Definition at line 151 of file tensor_sym_calculus.C.

References get_triad(), Lorene::Tensor_sym::indices(), mp, n_comp, Lorene::Itbl::set(), set(), Lorene::Tensor_sym::sym_index1(), Lorene::Tensor_sym::sym_index2(), type_indice, and valence.

◆ operator* [5/6]

Tensor_sym operator*	(	const Tensor &	a,
		const Tensor_sym &	b )

friend

Tensorial product with symmetries.

Definition at line 108 of file tensor_sym_calculus.C.

◆ operator* [6/6]

Tensor_sym operator*	(	const Tensor_sym &	a,
		const Tensor &	b )

friend

Tensorial product with symmetries.

Definition at line 68 of file tensor_sym_calculus.C.

◆ operator+ [1/2]

Scalar operator+	(	const Scalar &	a,
		const Tensor &	b )

friend

Scalar + Tensor. The Tensor must be of valence 0.

Definition at line 129 of file tensor_arithm.C.

References cmp, get_mp(), get_valence(), and Tensor().

◆ operator+ [2/2]

Scalar operator+	(	const Tensor &	a,
		const Scalar &	b )

friend

Tensor + Scalar. The Tensor must be of valence 0.

Definition at line 120 of file tensor_arithm.C.

References cmp, get_mp(), get_valence(), and Tensor().

◆ operator- [1/2]

Scalar operator-	(	const Scalar &	a,
		const Tensor &	b )

friend

Scalar - Tensor. The Tensor must be of valence 0.

Definition at line 173 of file tensor_arithm.C.

References cmp, get_mp(), get_valence(), and Tensor().

◆ operator- [2/2]

Scalar operator-	(	const Tensor &	a,
		const Scalar &	b )

friend

Tensor - Scalar. The Tensor must be of valence 0.

Definition at line 164 of file tensor_arithm.C.

References cmp, get_mp(), get_valence(), and Tensor().

◆ operator<<

ostream & operator<<	(	ostream &	flux,
		const Tensor &	source )

friend

Definition at line 826 of file tensor.C.

◆ Scalar

friend class Scalar

friend

Definition at line 1000 of file tensor.h.

◆ Sym_tensor

friend class Sym_tensor

friend

Definition at line 1002 of file tensor.h.

◆ Tensor_sym

friend class Tensor_sym

friend

Definition at line 1003 of file tensor.h.

◆ Vector

friend class Vector

friend

Definition at line 1001 of file tensor.h.

Functions

Variables

Friends

Tensor_sym arithmetics

Detailed Description

Function Documentation

◆ allocate_all()

◆ annule()

◆ annule_domain()

◆ annule_extern_cn()

◆ change_triad()

◆ compute_derive_lie()

◆ dec_dzpuis()

◆ del_deriv()

◆ del_derive_met()

◆ derive_con() [1/2]

◆ derive_con() [2/2]

◆ derive_cov() [1/2]

◆ derive_cov() [2/2]

◆ derive_lie() [1/2]

◆ derive_lie() [2/2]

◆ divergence()

◆ down()

◆ exponential_filter_r()

◆ exponential_filter_ylm()

◆ get_index_type() [1/2]

◆ get_index_type() [2/2]

◆ get_mp()

◆ get_n_comp()

◆ get_place_met()

◆ get_triad()

◆ get_valence()

◆ inc_dzpuis()

◆ indices() [1/2]

◆ indices() [2/2]

◆ operator()() [1/4]

◆ operator()() [2/4]

◆ operator()() [3/4]

◆ operator()() [4/4]

◆ operator*() [1/12]

◆ operator*() [2/12]

◆ operator*() [3/12]

◆ operator*() [4/12]

◆ operator*() [5/12]

◆ operator*() [6/12]

◆ operator*() [7/12]

◆ operator*() [8/12]

◆ operator*() [9/12]

◆ operator*() [10/12]

◆ operator*() [11/12]

◆ operator*() [12/12]

◆ operator+() [1/6]

◆ operator+() [2/6]

◆ operator+() [3/6]

◆ operator+() [4/6]

◆ operator+() [5/6]

◆ operator+() [6/6]

◆ operator+=()

◆ operator-() [1/6]

◆ operator-() [2/6]

◆ operator-() [3/6]

◆ operator-() [4/6]

◆ operator-() [5/6]

◆ operator-() [6/6]

◆ operator-=()

◆ operator/() [1/6]

◆ operator/() [2/6]

◆ operator/() [3/6]

◆ operator/() [4/6]

◆ operator/() [5/6]

◆ operator/() [6/6]

◆ operator=() [1/3]

◆ operator=() [2/3]

◆ operator=() [3/3]

◆ position() [1/2]

◆ position() [2/2]

◆ sauve() [1/2]

◆ sauve() [2/2]

◆ set() [1/4]

◆ set() [2/4]