LORENE
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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 ![]() | |
const Tensor & | Lorene::Tensor::derive_con (const Metric &gam) const |
Returns the "contravariant" derivative of this with respect to some metric ![]() | |
const Tensor & | Lorene::Tensor::divergence (const Metric &gam) const |
Computes the divergence of this with respect to some metric ![]() | |
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 ![]() | |
const Tensor_sym & | Lorene::Tensor_sym::derive_con (const Metric &gam) const |
Returns the "contravariant" derivative of this with respect to some metric ![]() | |
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 ) | |
()
|
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 Lorene::Scalar::allocate_all(), Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), and Lorene::Tensor::n_comp.
Sets the Tensor
to zero in several domains.
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 Lorene::Scalar::annule(), Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::mp, Lorene::Tensor::n_comp, and Lorene::Tensor::set_etat_zero().
Sets the Tensor
to zero in a given domain.
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 Lorene::Tensor::annule().
Performs a smooth (C^n) transition in a given domain to zero.
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::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::mp, Lorene::Tensor::n_comp, Lorene::pow(), Lorene::Tbl::set(), and Lorene::Tbl::set_etat_qcq().
Sets a new vectorial basis (triad) of decomposition and modifies the components accordingly.
Reimplemented in Lorene::Vector, and Lorene::Scalar.
Definition at line 77 of file tensor_change_triad.C.
References Lorene::Tensor::mp, Lorene::Tensor::set(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
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 Lorene::Tensor::cmp, Lorene::contract(), Lorene::Tensor::derive_cov(), Lorene::Scalar::get_dzpuis(), Lorene::Tensor::mp, Lorene::Tensor::n_comp, Lorene::Tensor::operator()(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
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 Lorene::Tensor::cmp, Lorene::Tensor::dec_dzpuis(), Lorene::Tensor::del_deriv(), and Lorene::Tensor::n_comp.
|
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 Lorene::Tensor::del_derive_met(), and Lorene::Tensor::set_der_0x0().
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 Lorene::Tensor::met_depend, Lorene::Tensor::p_derive_con, Lorene::Tensor::p_derive_cov, Lorene::Tensor::p_divergence, and Lorene::Tensor::set_der_met_0x0().
Returns the "contravariant" derivative of this
with respect to some metric
method derive_cov()
) with
Definition at line 1014 of file tensor.C.
References Lorene::contract(), Lorene::Tensor::derive_cov(), Lorene::Tensor::get_place_met(), Lorene::Tensor::mp, Lorene::Tensor::p_derive_con, Lorene::Tensor::set_dependance(), Lorene::Tensor::triad, and Lorene::Tensor::valence.
const Tensor_sym & Lorene::Tensor_sym::derive_con | ( | const Metric & | gam | ) | const |
Returns the "contravariant" derivative of this
with respect to some metric
method derive_cov()
) with
Definition at line 204 of file tensor_sym_calculus.C.
References Lorene::Tensor::derive_con().
Returns the covariant derivative of this
with respect to some metric
this
and
gam | metric ![]() |
this
with respect to the connection Definition at line 1002 of file tensor.C.
References Lorene::Tensor::get_place_met(), Lorene::Tensor::p_derive_cov, and Lorene::Tensor::set_dependance().
const Tensor_sym & Lorene::Tensor_sym::derive_cov | ( | const Metric & | gam | ) | const |
Returns the covariant derivative of this
with respect to some metric
this
and
gam | metric ![]() |
this
with respect to the connection Definition at line 192 of file tensor_sym_calculus.C.
References Lorene::Tensor::derive_cov().
Computes the Lie derivative of this
with respect to some vector field v
.
Definition at line 481 of file tensor_calculus.C.
References Lorene::Tensor::compute_derive_lie(), Lorene::Tensor::mp, Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
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(), Lorene::Tensor_sym::id_sym1, Lorene::Tensor_sym::id_sym2, Lorene::Tensor::mp, Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Computes the divergence of this
with respect to some metric
The divergence is taken with respect of the last index of this
which thus must be contravariant. For instance if the tensor this
is a twice contravariant tensor, whose components w.r.t. the triad
where
gam | metric ![]() |
this
with respect to Definition at line 1055 of file tensor.C.
References Lorene::Tensor::get_place_met(), Lorene::Tensor::p_divergence, and Lorene::Tensor::set_dependance().
Computes a new tensor by lowering an index of *this
.
ind | index to be lowered, with the following convention :
|
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::Tensor::mp, Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
|
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 Lorene::Tensor::cmp, Lorene::Tensor::exponential_filter_r(), Lorene::Tensor::mp, Lorene::Tensor::n_comp, and Lorene::Tensor::triad.
|
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 Lorene::Tensor::cmp, Lorene::Tensor::exponential_filter_ylm(), Lorene::Tensor::mp, Lorene::Tensor::n_comp, and Lorene::Tensor::triad.
|
inline |
Returns the types of all the indices.
Itbl
) of size valence
COV
for a covariant one and CON
Definition at line 896 of file tensor.h.
References Lorene::Tensor::type_indice.
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 Definition at line 886 of file tensor.h.
References Lorene::Tensor::type_indice.
|
inline |
Returns the number of stored components.
Definition at line 872 of file tensor.h.
References Lorene::Tensor::n_comp.
Returns the position of the pointer on metre
in the array met_depend
.
Definition at line 443 of file tensor.C.
References Lorene::Tensor::met_depend.
Returns the vectorial basis (triad) on which the components are defined.
Definition at line 866 of file tensor.h.
References Lorene::Tensor::triad.
|
inline |
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 Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::inc_dzpuis(), and Lorene::Tensor::n_comp.
Returns the indices of a component given by its position in the array cmp
.
pos | [input] position in the array cmp of the pointer to the Scalar representing a component |
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) Reimplemented in Lorene::Vector, and Lorene::Tensor_sym.
Definition at line 539 of file tensor.C.
References Lorene::Tensor::n_comp, and Lorene::Tensor::valence.
Returns the indices of a component given by its position in the array cmp
.
pos | [input] position in the array cmp of the pointer to the Scalar representing a component |
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) Reimplemented from Lorene::Tensor.
Definition at line 310 of file tensor_sym.C.
References Lorene::Tensor_sym::id_sym1, Lorene::Tensor_sym::id_sym2, Lorene::Tensor::n_comp, and Lorene::Tensor::valence.
Returns the value of a component (read-only version).
ind | 1-D Itbl of size valence containing the values of each index specifing the component, with the following storage convention:
|
ind
Definition at line 798 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::position(), and Lorene::Tensor::valence.
Returns the value of a component for a tensor of valence 2 (read-only version).
i1 | value of the first index (1, 2 or 3) |
i2 | value of the second index (1, 2 or 3) |
(i1,i2) Definition at line 760 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::position(), and Lorene::Tensor::valence.
Returns the value of a component for a tensor of valence 3 (read-only version).
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) |
(i1,i2,i3) Definition at line 771 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::position(), and Lorene::Tensor::valence.
Returns the value of a component for a tensor of valence 4 (read-only version).
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) |
(i1,i2,i3,i4) Definition at line 783 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::position(), and Lorene::Tensor::valence.
Definition at line 188 of file tensor_arithm.C.
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.
Tensor Lorene::operator* | ( | const Tensor & | t, |
double | x | ||
) |
Tensor * double.
Definition at line 228 of file tensor_arithm.C.
Tensor Lorene::operator* | ( | const Tensor & | t, |
int | m | ||
) |
Tensor * int.
Definition at line 237 of file tensor_arithm.C.
Definition at line 206 of file tensor_arithm.C.
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.
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.
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.
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_triad(), and Lorene::Tensor::get_valence().
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.
Tensor Lorene::operator* | ( | int | m, |
const Tensor & | t | ||
) |
int* Tensor
Definition at line 232 of file tensor_arithm.C.
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.
Scalar + Tensor. The Tensor
must be of valence 0.
Definition at line 129 of file tensor_arithm.C.
Tensor Lorene::operator+ | ( | const Tensor & | t | ) |
Definition at line 74 of file tensor_arithm.C.
Tensor + Scalar. The Tensor
must be of valence 0.
Definition at line 120 of file tensor_arithm.C.
Definition at line 97 of file tensor_arithm.C.
Tensor_sym Lorene::operator+ | ( | const Tensor_sym & | t | ) |
Tensor
operator+
(const Tensor& ) . Definition at line 63 of file tensor_sym_arithm.C.
Tensor_sym Lorene::operator+ | ( | const Tensor_sym & | t1, |
const Tensor_sym & | t2 | ||
) |
For efficiency reasons this function is distinct from Tensor
operator+
(const Tensor&, const Tensor& ).
Definition at line 88 of file tensor_sym_arithm.C.
+= Tensor
Definition at line 571 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::indices(), Lorene::Tensor::n_comp, Lorene::Tensor::position(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Scalar - Tensor. The Tensor
must be of valence 0.
Definition at line 173 of file tensor_arithm.C.
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_triad(), and Lorene::Tensor::get_valence().
Tensor - Scalar. The Tensor
must be of valence 0.
Definition at line 164 of file tensor_arithm.C.
Definition at line 142 of file tensor_arithm.C.
Tensor_sym Lorene::operator- | ( | const Tensor_sym & | tt | ) |
Tensor
operator+
(const Tensor& ). Definition at line 70 of file tensor_sym_arithm.C.
Tensor_sym Lorene::operator- | ( | const Tensor_sym & | t1, |
const Tensor_sym & | t2 | ||
) |
For efficiency reasons this function is distinct from Tensor
operator-
(const Tensor&, const Tensor&) .
Definition at line 119 of file tensor_sym_arithm.C.
-= Tensor
Definition at line 587 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::indices(), Lorene::Tensor::n_comp, Lorene::Tensor::position(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Definition at line 246 of file tensor_arithm.C.
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_triad(), and Lorene::Tensor::get_valence().
Tensor Lorene::operator/ | ( | const Tensor & | t, |
int | m | ||
) |
Tensor / int.
Definition at line 294 of file tensor_arithm.C.
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.
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.
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.
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 Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::indices(), Lorene::Tensor::n_comp, Lorene::Tensor::position(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
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_sym::id_sym1, Lorene::Tensor_sym::id_sym2, Lorene::Tensor_sym::indices(), Lorene::Tensor::n_comp, Lorene::Evolution< TyT >::position(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
|
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(), Lorene::Tensor_sym::id_sym1, Lorene::Tensor_sym::id_sym2, Lorene::Tensor_sym::indices(), Lorene::Tensor::n_comp, Lorene::Evolution< TyT >::position(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Returns the position in the array cmp
of a component given by its indices.
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:
|
cmp
of the pointer to the Scalar
containing the component specified by ind
Reimplemented in Lorene::Vector, and Lorene::Tensor_sym.
Definition at line 525 of file tensor.C.
References Lorene::Tensor::valence.
Returns the position in the array cmp
of a component given by its indices.
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:
|
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::Tensor_sym::id_sym1, Lorene::Tensor_sym::id_sym2, and Lorene::Tensor::valence.
Save in a binary file.
Reimplemented in Lorene::Scalar, and Lorene::Tensor_sym.
Definition at line 906 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::fwrite_be(), Lorene::Tensor::n_comp, Lorene::Itbl::sauve(), Lorene::Tensor::sauve(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Save in a binary file.
Reimplemented from Lorene::Tensor.
Definition at line 372 of file tensor_sym.C.
References Lorene::fwrite_be(), Lorene::Tensor_sym::id_sym1, Lorene::Tensor_sym::id_sym2, and Lorene::Tensor::sauve().
Returns the value of a component (read/write version).
ind | 1-D Itbl of size valence containing the values of each index specifing the component, with the following storage convention:
|
ind
Definition at line 654 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::position(), and Lorene::Tensor::valence.
Returns the value of a component for a tensor of valence 2 (read/write version).
i1 | value of the first index (1, 2 or 3) |
i2 | value of the second index (1, 2 or 3) |
(i1,i2) Definition at line 606 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::position(), and Lorene::Tensor::valence.
Returns the value of a component for a tensor of valence 3 (read/write version).
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) |
(i1,i2,i3) Definition at line 621 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::position(), and Lorene::Tensor::valence.
Returns the value of a component for a tensor of valence 4 (read/write version).
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) |
(i1,i2,i3,i4) Definition at line 637 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::position(), and Lorene::Tensor::valence.
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 Lorene::Tensor::met_depend.
|
protected |
Sets the pointers on derived quantities to 0x0.
Definition at line 407 of file tensor.C.
References Lorene::Tensor::set_der_met_0x0().
Sets all the i-th components of met_depend
, p_derive_cov
, etc... to 0x0.
Definition at line 433 of file tensor.C.
References Lorene::Tensor::met_depend, Lorene::Tensor::p_derive_con, Lorene::Tensor::p_derive_cov, and Lorene::Tensor::p_divergence.
|
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 Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::n_comp, and Lorene::Scalar::set_etat_nondef().
|
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 Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::n_comp, and Lorene::Scalar::set_etat_qcq().
|
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 Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), Lorene::Tensor::n_comp, and Lorene::Scalar::set_etat_zero().
|
inline |
Sets the types of all the indices.
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 Lorene::Tensor::type_indice.
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 COV
for a covariant index, CON
for a contravariant one) Definition at line 909 of file tensor.h.
References Lorene::Itbl::set(), and Lorene::Tensor::type_indice.
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 Lorene::Tensor::triad.
|
virtual |
Displays the spectral coefficients and the associated basis functions of each component.
This function shows only the values greater than a given threshold.
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 Lorene::Tensor::cmp, Lorene::Tensor::indices(), Lorene::Tensor::n_comp, Lorene::Scalar::spectral_display(), and Lorene::Tensor::valence.
|
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 Lorene::Tensor::cmp, Lorene::Tensor::indices(), Lorene::Tensor::mp, Lorene::Tensor::n_comp, Lorene::Scalar::set_spectral_base(), Lorene::Scalar::std_spectral_base(), Lorene::Tensor::triad, and Lorene::Tensor::valence.
|
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 Lorene::Tensor::cmp, Lorene::Scalar::std_spectral_base_odd(), and Lorene::Tensor::valence.
|
inline |
Number of the first symmetric index (0<=
id_sym1
< valence
)
Definition at line 1149 of file tensor.h.
References Lorene::Tensor_sym::id_sym1.
|
inline |
Number of the second symmetric index (id_sym1
< id_sym2
< valence
)
Definition at line 1154 of file tensor.h.
References Lorene::Tensor_sym::id_sym2.
Constructor for a scalar field: to be used only by the derived class Scalar
.
Definition at line 322 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::n_comp, and Lorene::Tensor::set_der_0x0().
Constructor from a file (see sauve(FILE*)
).
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(), Lorene::Tensor::cmp, Lorene::fread_be(), Lorene::Tensor::mp, Lorene::Tensor::n_comp, Lorene::Tensor::set_der_0x0(), Lorene::Tensor::triad, and Lorene::Tensor::valence.
Standard constructor.
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:
|
triad_i | vectorial basis (triad) with respect to which the tensor components are defined |
Definition at line 202 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::n_comp, Lorene::Tensor::set_der_0x0(), and Lorene::Tensor::valence.
Standard constructor with the triad passed as a pointer.
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:
|
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 Lorene::Tensor::cmp, Lorene::Tensor::n_comp, Lorene::Tensor::set_der_0x0(), and Lorene::Tensor::valence.
|
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.
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:
|
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 Lorene::Tensor::cmp, Lorene::Tensor::n_comp, Lorene::Tensor::set_der_0x0(), and Lorene::Tensor::valence.
Standard constructor when all the indices are of the same type.
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 Lorene::Tensor::cmp, Lorene::Tensor::n_comp, Lorene::Tensor::set_der_0x0(), Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
|
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.
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 Lorene::Tensor::cmp, Lorene::Tensor::n_comp, Lorene::Tensor::set_der_0x0(), Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Copy constructor.
Definition at line 271 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::indices(), Lorene::Tensor::n_comp, Lorene::Evolution< TyT >::position(), Lorene::pow(), Lorene::Tensor::set_der_0x0(), and Lorene::Tensor::valence.
Constructor from a file (see sauve(FILE*)
).
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(), Lorene::Tensor_sym::id_sym1, Lorene::Tensor_sym::id_sym2, and Lorene::Tensor::type_indice.
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.
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 Lorene::Tensor_sym::id_sym1, Lorene::Tensor_sym::id_sym2, Lorene::Itbl::set(), and Lorene::Tensor::type_indice.
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.
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:
|
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 Lorene::Tensor_sym::id_sym1, Lorene::Tensor_sym::id_sym2, and Lorene::Tensor::valence.
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.
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 Lorene::Tensor_sym::id_sym1, Lorene::Tensor_sym::id_sym2, and Lorene::Tensor::valence.
Lorene::Tensor_sym::Tensor_sym | ( | const Tensor_sym & | a | ) |
Copy constructor.
Definition at line 152 of file tensor_sym.C.
References Lorene::Tensor::cmp, Lorene::Tensor_sym::indices(), Lorene::Tensor::n_comp, and Lorene::Evolution< TyT >::position().
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 Lorene::Tensor::mp, Lorene::Tensor::operator()(), Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Trace with respect to a given metric for a valence 2 tensor.
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(), Lorene::Tensor::trace(), Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Trace on two different type indices.
ind1 | first index for the contraction, with the following convention :
|
ind2 | second index for the contraction |
Definition at line 94 of file tensor_calculus.C.
References Lorene::Tensor::cmp, Lorene::Tensor::mp, Lorene::Tensor::position(), Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Trace with respect to a given metric.
ind1 | first index for the contraction, with the following convention :
|
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(), Lorene::Tensor::trace(), Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Computes a new tensor by raising an index of *this
.
ind | index to be raised, with the following convention :
|
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::contract(), Lorene::Tensor::mp, Lorene::Tensor::triad, Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
Computes a new tensor by raising or lowering all the indices of *this
.
gam | metric used to lower the contravariant indices and raising the covariant ones. |
Definition at line 305 of file tensor_calculus.C.
References Lorene::Tensor::type_indice, and Lorene::Tensor::valence.
|
virtual |
Destructor.
Definition at line 385 of file tensor.C.
References Lorene::Tensor::cmp, Lorene::Tensor::del_deriv(), and Lorene::Tensor::n_comp.
|
virtual |
Destructor.
Definition at line 189 of file tensor_sym.C.
|
protected |
|
protected |
|
protected |
|
protected |
|
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.
|
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.
|
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.
|
protected |
|
protected |
Tensorial product.
Definition at line 107 of file tensor_calculus_ext.C.
|
friend |
Tensorial product with symmetries.
Definition at line 108 of file tensor_sym_calculus.C.
|
friend |
Tensorial product with symmetries.
Definition at line 108 of file tensor_sym_calculus.C.
|
friend |
Tensorial product with symmetries.
Definition at line 68 of file tensor_sym_calculus.C.
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Tensorial product with symmetries.
Definition at line 68 of file tensor_sym_calculus.C.
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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.
Scalar + Tensor. The Tensor
must be of valence 0.
Definition at line 129 of file tensor_arithm.C.
Tensor + Scalar. The Tensor
must be of valence 0.
Definition at line 120 of file tensor_arithm.C.
Scalar - Tensor. The Tensor
must be of valence 0.
Definition at line 173 of file tensor_arithm.C.
Tensor - Scalar. The Tensor
must be of valence 0.
Definition at line 164 of file tensor_arithm.C.
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