Logarithmic radial mapping. More...

#include <map.h>

Inheritance diagram for Lorene::Map_log:

Public Member Functions
	Map_log (const Mg3d &mgrille, const Tbl &r_limits, const Itbl &typevar)
	Standard Constructor. More...

	Map_log (const Map_log &)
	Copy constructor. More...

	Map_log (const Mg3d &, FILE *)
	Constructor from a file (see `sauve(FILE*)` More...

virtual	~Map_log ()
	Destructor. More...

virtual const Map_af &	mp_angu (int) const
	Returns the "angular" mapping for the outside of domain `l_zone`. More...

double	get_alpha (int l) const
	Returns $\alpha$ in the domain `l`. More...

double	get_beta (int l) const
	Returns $\beta$ in the domain `l`. More...

int	get_type (int l) const
	Returns the type of description in the domain `l`. More...

void	sol_elliptic (Param_elliptic &params, const Scalar &so, Scalar &uu) const
	General elliptic solver. More...

void	sol_elliptic_boundary (Param_elliptic &params, const Scalar &so, Scalar &uu, const Mtbl_cf &bound, double fact_dir, double fact_neu) const
	General elliptic solver including inner boundary conditions. More...

void	sol_elliptic_boundary (Param_elliptic &params, const Scalar &so, Scalar &uu, const Scalar &bound, double fact_dir, double fact_neu) const
	General elliptic solver including inner boundary conditions, the bound being given as a Scalar on a mono-domain angular grid. More...

void	sol_elliptic_no_zec (Param_elliptic &params, const Scalar &so, Scalar &uu, double) const
	General elliptic solver. More...

virtual void	sauve (FILE *) const
	Save in a file. More...

virtual void	operator= (const Map_af &mpa)
	Assignment to an affine mapping. More...

virtual ostream &	operator>> (ostream &) const
	Operator >> More...

virtual double	val_r (int l, double xi, double theta, double pphi) const
	Returns the value of the radial coordinate r for a given $(\xi, \theta', \phi')$ in a given domain. More...

virtual void	val_lx (double rr, double theta, double pphi, int &l, double &xi) const
	Computes the domain index l and the value of $\xi$ corresponding to a point given by its physical coordinates $(r, \theta, \phi)$ . More...

virtual void	val_lx (double rr, double theta, double pphi, const Param &par, int &l, double &xi) const
	Computes the domain index l and the value of $\xi$ corresponding to a point given by its physical coordinates $(r, \theta, \phi)$ . More...

virtual bool	operator== (const Map &) const
	Comparison operator (egality) More...

virtual double	val_r_jk (int l, double xi, int j, int k) const
	< Comparison operator More...

virtual void	val_lx_jk (double rr, int j, int k, const Param &par, int &l, double &xi) const
	Computes the domain index l and the value of $\xi$ corresponding to a point of arbitrary r but collocation values of $(\theta, \phi)$ . More...

virtual void	dsdr (const Scalar &ci, Scalar &resu) const
	Computes $\partial/ \partial r$ of a `Scalar`. More...

virtual void	dsdxi (const Scalar &ci, Scalar &resu) const
	Computes $\partial/ \partial \xi$ of a `Scalar`. More...

virtual void	dsdradial (const Scalar &uu, Scalar &resu) const
	Computes $\partial/ \partial r$ of a `Scalar` if the description is affine and $\partial/ \partial \ln r$ if it is logarithmic. More...

virtual void	homothetie (double)
	Sets a new radial scale. More...

virtual void	resize (int, double)
	< Not implemented More...

virtual void	adapt (const Cmp &, const Param &, int)
	< Not implemented More...

virtual void	dsdr (const Cmp &, Cmp &) const
	< Not implemented More...

virtual void	dsdxi (const Cmp &, Cmp &) const
	< Not implemented More...

virtual void	srdsdt (const Cmp &, Cmp &) const
	< Not implemented More...

virtual void	srstdsdp (const Cmp &, Cmp &) const
	< Not implemented More...

virtual void	srstdsdp (const Scalar &, Scalar &) const
	< Not implemented More...

virtual void	srdsdt (const Scalar &, Scalar &) const
	< Not implemented More...

virtual void	dsdt (const Scalar &, Scalar &) const
	< Not implemented More...

virtual void	stdsdp (const Scalar &, Scalar &) const
	< Not implemented More...

virtual void	laplacien (const Scalar &, int, Scalar &) const
	< Not implemented More...

virtual void	laplacien (const Cmp &, int, Cmp &) const
	< Not implemented More...

virtual void	lapang (const Scalar &, Scalar &) const
	< Not implemented More...

virtual void	primr (const Scalar &, Scalar &, bool) const
	< Not implemented More...

virtual Tbl *	integrale (const Cmp &) const
	< Not implemented More...

virtual void	poisson (const Cmp &, Param &, Cmp &) const
	< Not implemented More...

virtual void	poisson_tau (const Cmp &, Param &, Cmp &) const
	< Not implemented More...

virtual void	poisson_falloff (const Cmp &, Param &, Cmp &, int) const
	< Not implemented More...

virtual void	poisson_ylm (const Cmp &, Param &, Cmp &, int, double *) const
	< Not implemented More...

virtual void	poisson_regular (const Cmp &, int, int, double, Param &, Cmp &, Cmp &, Cmp &, Tenseur &, Cmp &, Cmp &) const
	< Not implemented More...

virtual void	poisson_angu (const Scalar &, Param &, Scalar &, double=0) const
	< Not implemented More...

virtual void	poisson_angu (const Cmp &, Param &, Cmp &, double=0) const
	< Not implemented More...

virtual Param *	donne_para_poisson_vect (Param &, int) const
	< Not implemented More...

virtual void	poisson_frontiere (const Cmp &, const Valeur &, int, int, Cmp &, double=0., double=0.) const
	< Not implemented More...

virtual void	poisson_frontiere_double (const Cmp &, const Valeur &, const Valeur &, int, Cmp &) const
	< Not implemented More...

virtual void	poisson_interne (const Cmp &, const Valeur &, Param &, Cmp &) const
	< Not implemented More...

virtual void	poisson2d (const Cmp &, const Cmp &, Param &, Cmp &) const
	< Not implemented More...

virtual void	dalembert (Param &, Scalar &, const Scalar &, const Scalar &, const Scalar &) const
	< Not implemented More...

virtual void	reevaluate (const Map *mp_prev, int nzet, Cmp &uu) const
	Recomputes the values of a `Cmp` at the collocation points after a change in the mapping. More...

virtual void	reevaluate (const Map *mp_prev, int nzet, Scalar &uu) const
	Recomputes the values of a `Scalar` at the collocation points after a change in the mapping. More...

virtual void	reevaluate_symy (const Map *mp_prev, int nzet, Cmp &uu) const
	Recomputes the values of a `Cmp` at the collocation points after a change in the mapping. More...

virtual void	reevaluate_symy (const Map *mp_prev, int nzet, Scalar &uu) const
	Recomputes the values of a `Scalar` at the collocation points after a change in the mapping. More...

virtual void	mult_r (Scalar &uu) const
	Multiplication by r of a `Scalar`, the `dzpuis` of `uu` is not changed. More...

virtual void	mult_r (Cmp &ci) const
	Multiplication by r of a `Cmp`. More...

virtual void	mult_r_zec (Scalar &) const
	Multiplication by r (in the compactified external domain only) of a `Scalar`. More...

virtual void	mult_rsint (Scalar &) const
	Multiplication by $r\sin\theta$ of a `Scalar`. More...

virtual void	div_rsint (Scalar &) const
	Division by $r\sin\theta$ of a `Scalar`. More...

virtual void	div_r (Scalar &) const
	Division by r of a `Scalar`. More...

virtual void	div_r_zec (Scalar &) const
	Division by r (in the compactified external domain only) of a `Scalar`. More...

virtual void	mult_cost (Scalar &) const
	Multiplication by $\cos\theta$ of a `Scalar`. More...

virtual void	div_cost (Scalar &) const
	Division by $\cos\theta$ of a `Scalar`. More...

virtual void	mult_sint (Scalar &) const
	Multiplication by $\sin\theta$ of a `Scalar`. More...

virtual void	div_sint (Scalar &) const
	Division by $\sin\theta$ of a `Scalar`. More...

virtual void	div_tant (Scalar &) const
	Division by $\tan\theta$ of a `Scalar`. More...

virtual void	comp_x_from_spherical (const Scalar &v_r, const Scalar &v_theta, const Scalar &v_phi, Scalar &v_x) const
	Computes the Cartesian x component (with respect to `bvect_cart`) of a vector given by its spherical components with respect to `bvect_spher`. More...

virtual void	comp_x_from_spherical (const Cmp &v_r, const Cmp &v_theta, const Cmp &v_phi, Cmp &v_x) const
	`Cmp` version More...

virtual void	comp_y_from_spherical (const Scalar &v_r, const Scalar &v_theta, const Scalar &v_phi, Scalar &v_y) const
	Computes the Cartesian y component (with respect to `bvect_cart` ) of a vector given by its spherical components with respect to `bvect_spher` . More...

virtual void	comp_y_from_spherical (const Cmp &v_r, const Cmp &v_theta, const Cmp &v_phi, Cmp &v_y) const
	`Cmp` version More...

virtual void	comp_z_from_spherical (const Scalar &v_r, const Scalar &v_theta, Scalar &v_z) const
	Computes the Cartesian z component (with respect to `bvect_cart` ) of a vector given by its spherical components with respect to `bvect_spher` . More...

virtual void	comp_z_from_spherical (const Cmp &v_r, const Cmp &v_theta, Cmp &v_z) const
	`Cmp` version More...

virtual void	comp_r_from_cartesian (const Scalar &v_x, const Scalar &v_y, const Scalar &v_z, Scalar &v_r) const
	Computes the Spherical r component (with respect to `bvect_spher` ) of a vector given by its cartesian components with respect to `bvect_cart` . More...

virtual void	comp_r_from_cartesian (const Cmp &v_x, const Cmp &v_y, const Cmp &v_z, Cmp &v_r) const
	`Cmp` version More...

virtual void	comp_t_from_cartesian (const Scalar &v_x, const Scalar &v_y, const Scalar &v_z, Scalar &v_t) const
	Computes the Spherical $\theta$ component (with respect to `bvect_spher` ) of a vector given by its cartesian components with respect to `bvect_cart` . More...

virtual void	comp_t_from_cartesian (const Cmp &v_x, const Cmp &v_y, const Cmp &v_z, Cmp &v_t) const
	`Cmp` version More...

virtual void	comp_p_from_cartesian (const Scalar &v_x, const Scalar &v_y, Scalar &v_p) const
	Computes the Spherical $\phi$ component (with respect to `bvect_spher` ) of a vector given by its cartesian components with respect to `bvect_cart` . More...

virtual void	comp_p_from_cartesian (const Cmp &v_x, const Cmp &v_y, Cmp &v_p) const
	`Cmp` version More...

virtual void	dec_dzpuis (Scalar &) const
	Decreases by 1 the value of `dzpuis` of a `Scalar` and changes accordingly its values in the compactified external domain (CED). More...

virtual void	dec2_dzpuis (Scalar &) const
	Decreases by 2 the value of `dzpuis` of a `Scalar` and changes accordingly its values in the compactified external domain (CED). More...

virtual void	inc_dzpuis (Scalar &) const
	Increases by 1 the value of `dzpuis` of a `Scalar` and changes accordingly its values in the compactified external domain (CED). More...

virtual void	inc2_dzpuis (Scalar &) const
	Increases by 2 the value of `dzpuis` of a `Scalar` and changes accordingly its values in the compactified external domain (CED). More...

virtual void	poisson_compact (const Cmp &source, const Cmp &aa, const Tenseur &bb, const Param &par, Cmp &psi) const
	Resolution of the elliptic equation $a \Delta\psi + {\bf b} \cdot \nabla \psi = \sigma$ in the case where the stellar interior is covered by a single domain. More...

virtual void	poisson_compact (int nzet, const Cmp &source, const Cmp &aa, const Tenseur &bb, const Param &par, Cmp &psi) const
	Resolution of the elliptic equation $a \Delta\psi + {\bf b} \cdot \nabla \psi = \sigma$ in the case of a multidomain stellar interior. More...

const Mg3d *	get_mg () const
	Gives the `Mg3d` on which the mapping is defined. More...

double	get_ori_x () const
	Returns the x coordinate of the origin. More...

double	get_ori_y () const
	Returns the y coordinate of the origin. More...

double	get_ori_z () const
	Returns the z coordinate of the origin. More...

double	get_rot_phi () const
	Returns the angle between the x –axis and X –axis. More...

const Base_vect_spher &	get_bvect_spher () const
	Returns the orthonormal vectorial basis $(\partial/\partial r,1/r\partial/\partial \theta, 1/(r\sin\theta)\partial/\partial \phi)$ associated with the coordinates $(r, \theta, \phi)$ of the mapping. More...

const Base_vect_cart &	get_bvect_cart () const
	Returns the Cartesian basis $(\partial/\partial x,\partial/\partial y,\partial/\partial z)$ associated with the coordinates (x,y,z) of the mapping, i.e. More...

const Metric_flat &	flat_met_spher () const
	Returns the flat metric associated with the spherical coordinates and with components expressed in the triad `bvect_spher`. More...

const Metric_flat &	flat_met_cart () const
	Returns the flat metric associated with the Cartesian coordinates and with components expressed in the triad `bvect_cart`. More...

const Cmp &	cmp_zero () const
	Returns the null `Cmp` defined on `*this`. More...

void	convert_absolute (double xx, double yy, double zz, double &rr, double &theta, double &pphi) const
	Determines the coordinates $(r,\theta,\phi)$ corresponding to given absolute Cartesian coordinates (X,Y,Z). More...

void	set_ori (double xa0, double ya0, double za0)
	Sets a new origin. More...

void	set_rot_phi (double phi0)
	Sets a new rotation angle. More...

Public Attributes
Coord	dxdlnr
	Same as dxdr if the domains where the description is affine and $\partial x / \partial \ln r$ where it is logarithmic. More...

Coord	xsr
	$\xi/R$ in the nucleus; \ 1/R in the non-compactified shells; \ $(\xi-1)/U$ in the compactified outer domain. More...

Coord	dxdr
	$1/(\partial R/\partial\xi) = \partial \xi /\partial r$ in the nucleus and in the non-compactified shells; \ $-1/(\partial U/\partial\xi) = - \partial \xi /\partial u$ in the compactified outer domain. More...

Coord	drdt
	$\partial R/\partial\theta'$ in the nucleus and in the non-compactified shells; \ $-\partial U/\partial\theta'$ in the compactified external domain (CED). More...

Coord	stdrdp
	${1\over\sin\theta} \partial R/\partial\varphi'$ in the nucleus and in the non-compactified shells; \ $-{1\over\sin\theta}\partial U/\partial\varphi'$ in the compactified external domain (CED). More...

Coord	srdrdt
	$1/R \times (\partial R/\partial\theta')$ in the nucleus and in the non-compactified shells; \ $-1/U \times (\partial U/\partial\theta)$ in the compactified outer domain. More...

Coord	srstdrdp
	$1/(R\sin\theta) \times (\partial R/\partial\varphi')$ in the nucleus and in the non-compactified shells; \ $-1/(U\sin\theta) \times (\partial U/\partial\varphi')$ in the compactified outer domain. More...

Coord	sr2drdt
	$1/R^2 \times (\partial R/\partial\theta')$ in the nucleus and in the non-compactified shells; \ $-1/U^2 \times (\partial U/\partial\theta')$ in the compactified outer domain. More...

Coord	sr2stdrdp
	$1/(R^2\sin\theta) \times (\partial R/\partial\varphi')$ in the nucleus and in the non-compactified shells; \ $-1/(U^2\sin\theta) \times (\partial U/\partial\varphi')$ in the compactified outer domain. More...

Coord	d2rdx2
	$\partial^2 R/\partial\xi^2$ in the nucleus and in the non-compactified shells; \ $-\partial^2 U/\partial\xi^2$ in the compactified outer domain. More...

Coord	lapr_tp
	$1/R^2 \times [ 1/\sin(\theta)\times \partial /\partial\theta' (\sin\theta \partial R /\partial\theta') + 1/\sin^2\theta \partial^2 R /\partial{\varphi'}^2]$ in the nucleus and in the non-compactified shells; \ $- 1/U^2 \times [ 1/\sin(\theta)\times \partial /\partial\theta' (\sin\theta \partial U /\partial\theta') + 1/\sin^2\theta \partial^2 U /\partial{\varphi'}^2]$ in the compactified outer domain. More...

Coord	d2rdtdx
	$\partial^2 R/\partial\xi\partial\theta'$ in the nucleus and in the non-compactified shells; \ $-\partial^2 U/\partial\xi\partial\theta'$ in the compactified outer domain. More...

Coord	sstd2rdpdx
	$1/\sin\theta \times \partial^2 R/\partial\xi\partial\varphi'$ in the nucleus and in the non-compactified shells; \ $-1/\sin\theta \times \partial^2 U/\partial\xi\partial\varphi'$ in the compactified outer domain. More...

Coord	sr2d2rdt2
	$1/R^2 \partial^2 R/\partial{\theta'}^2$ in the nucleus and in the non-compactified shells; \ $-1/U^2 \partial^2 U/\partial{\theta'}^2$ in the compactified outer domain. More...

Coord	r
	r coordinate centered on the grid More...

Coord	tet
	$\theta$ coordinate centered on the grid More...

Coord	phi
	$\phi$ coordinate centered on the grid More...

Coord	sint
	$\sin\theta$ More...

Coord	cost
	$\cos\theta$ More...

Coord	sinp
	$\sin\phi$ More...

Coord	cosp
	$\cos\phi$ More...

Coord	x
	x coordinate centered on the grid More...

Coord	y
	y coordinate centered on the grid More...

Coord	z
	z coordinate centered on the grid More...

Coord	xa
	Absolute x coordinate. More...

Coord	ya
	Absolute y coordinate. More...

Coord	za
	Absolute z coordinate. More...

Protected Member Functions
virtual void	reset_coord ()
	Resets all the member `Coords`. More...

Protected Attributes
const Mg3d *	mg
	Pointer on the multi-grid `Mgd3` on which `this` is defined. More...

double	ori_x
	Absolute coordinate x of the origin. More...

double	ori_y
	Absolute coordinate y of the origin. More...

double	ori_z
	Absolute coordinate z of the origin. More...

double	rot_phi
	Angle between the x –axis and X –axis. More...

Base_vect_spher	bvect_spher
	Orthonormal vectorial basis $(\partial/\partial r,1/r\partial/\partial \theta, 1/(r\sin\theta)\partial/\partial \phi)$ associated with the coordinates $(r, \theta, \phi)$ of the mapping. More...

Base_vect_cart	bvect_cart
	Cartesian basis $(\partial/\partial x,\partial/\partial y,\partial/\partial z)$ associated with the coordinates (x,y,z) of the mapping, i.e. More...

Metric_flat *	p_flat_met_spher
	Pointer onto the flat metric associated with the spherical coordinates and with components expressed in the triad `bvect_spher`. More...

Metric_flat *	p_flat_met_cart
	Pointer onto the flat metric associated with the Cartesian coordinates and with components expressed in the triad `bvect_cart`. More...

Cmp *	p_cmp_zero
	The null Cmp. More...

Map_af *	p_mp_angu
	Pointer on the "angular" mapping. More...

Private Member Functions
void	set_coord ()

Private Attributes
Tbl	alpha
	Array (size: `mg->nzone` ) of the values of $\alpha$ in each domain. More...

Tbl	beta
	Array (size: `mg->nzone` ) of the values of $\beta$ in each domain. More...

Itbl	type_var
	Array (size: `mg->nzone` ) of the type of variable in each domain. More...

Friends
Mtbl *	map_log_fait_r (const Map *)
	< Not implemented More...

Mtbl *	map_log_fait_tet (const Map *)

Mtbl *	map_log_fait_phi (const Map *)

Mtbl *	map_log_fait_sint (const Map *)

Mtbl *	map_log_fait_cost (const Map *)

Mtbl *	map_log_fait_sinp (const Map *)

Mtbl *	map_log_fait_cosp (const Map *)

Mtbl *	map_log_fait_x (const Map *)

Mtbl *	map_log_fait_y (const Map *)

Mtbl *	map_log_fait_z (const Map *)

Mtbl *	map_log_fait_xa (const Map *)

Mtbl *	map_log_fait_ya (const Map *)

Mtbl *	map_log_fait_za (const Map *)

Mtbl *	map_log_fait_xsr (const Map *)

Mtbl *	map_log_fait_dxdr (const Map *)

Mtbl *	map_log_fait_drdt (const Map *)

Mtbl *	map_log_fait_stdrdp (const Map *)

Mtbl *	map_log_fait_srdrdt (const Map *)

Mtbl *	map_log_fait_srstdrdp (const Map *)

Mtbl *	map_log_fait_sr2drdt (const Map *)

Mtbl *	map_log_fait_sr2stdrdp (const Map *)

Mtbl *	map_log_fait_d2rdx2 (const Map *)

Mtbl *	map_log_fait_lapr_tp (const Map *)

Mtbl *	map_log_fait_d2rdtdx (const Map *)

Mtbl *	map_log_fait_sstd2rdpdx (const Map *)

Mtbl *	map_log_fait_sr2d2rdt2 (const Map *)

Mtbl *	map_log_fait_dxdlnr (const Map *)

Detailed Description

Logarithmic radial mapping.

()

This mapping is a variation of the affine one.

In each domain the description can be either affine (cf. Map_af documentation) or logarithmic. In that case (implemented only in the shells) we have

$\ln r=\alpha \xi + \beta$ , where $\alpha$ and $\beta$ are constant in each domain.

Definition at line 3616 of file map.h.

Constructor & Destructor Documentation

◆ Map_log() [1/3]

Lorene::Map_log::Map_log	(	const Mg3d &	mgrille,
		const Tbl &	r_limits,
		const Itbl &	typevar
	)

Standard Constructor.

Parameters

mgrille	[input] Multi-domain grid on which the mapping is defined
r_limits	[input] Tbl (size: number of domains + 1) of the value of r at the boundaries of the various domains : `r_limits`[l] : inner boundary of the domain no. `l` `r_limits`[l+1] : outer boundary of the domain no. `l`
type_var	[input] Array (size: number of domains) defining the type f mapping in each domain.

Definition at line 70 of file map_log.C.

References alpha, beta, Lorene::Mg3d::get_nzone(), Lorene::Mg3d::get_type_r(), Lorene::Map::mg, Lorene::Tbl::set_etat_qcq(), and type_var.

◆ Map_log() [2/3]

Lorene::Map_log::Map_log ( const Map_log & so )

Copy constructor.

Definition at line 142 of file map_log.C.

◆ Map_log() [3/3]

Lorene::Map_log::Map_log	(	const Mg3d &	mgrille,
		FILE *	fd
	)

Constructor from a file (see sauve(FILE*)

Definition at line 148 of file map_log.C.

References alpha, beta, and type_var.

◆ ~Map_log()

Lorene::Map_log::~Map_log ( )

virtual

Destructor.

Definition at line 163 of file map_log.C.

Member Function Documentation

◆ adapt()

void Lorene::Map_log::adapt	(	const Cmp &	,
		const Param &	,
		int
	)

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 107 of file map_log_pas_fait.C.

◆ cmp_zero()

const Cmp& Lorene::Map::cmp_zero ( ) const

inlineinherited

Returns the null Cmp defined on *this.

To be used by the Tenseur class when necessary to return a null Cmp .

Definition at line 825 of file map.h.

References Lorene::Map::p_cmp_zero.

◆ comp_p_from_cartesian() [1/2]

void Lorene::Map_radial::comp_p_from_cartesian	(	const Scalar &	v_x,
		const Scalar &	v_y,
		Scalar &	v_p
	)		const

virtualinherited

Computes the Spherical $\phi$ component (with respect to bvect_spher ) of a vector given by its cartesian components with respect to bvect_cart .

Parameters

v_x	[input] x-component of the vector
v_y	[input] y-component of the vector
v_p	[output] $\phi$ -component of the vector

Implements Lorene::Map.

Definition at line 186 of file map_radial_comp_rtp.C.

References Lorene::Scalar::get_etat().

◆ comp_p_from_cartesian() [2/2]

void Lorene::Map_radial::comp_p_from_cartesian	(	const Cmp &	v_x,
		const Cmp &	v_y,
		Cmp &	v_p
	)		const

virtualinherited

Cmp version

Implements Lorene::Map.

Definition at line 179 of file map_radial_comp_rtp.C.

References Lorene::Map_radial::comp_p_from_cartesian().

◆ comp_r_from_cartesian() [1/2]

void Lorene::Map_radial::comp_r_from_cartesian	(	const Scalar &	v_x,
		const Scalar &	v_y,
		const Scalar &	v_z,
		Scalar &	v_r
	)		const

virtualinherited

Computes the Spherical r component (with respect to bvect_spher ) of a vector given by its cartesian components with respect to bvect_cart .

Parameters

v_x	[input] x-component of the vector
v_y	[input] y-component of the vector
v_z	[input] z-component of the vector
v_r	[output] r -component of the vector

Implements Lorene::Map.

Definition at line 75 of file map_radial_comp_rtp.C.

References Lorene::Scalar::get_etat().

◆ comp_r_from_cartesian() [2/2]

void Lorene::Map_radial::comp_r_from_cartesian	(	const Cmp &	v_x,
		const Cmp &	v_y,
		const Cmp &	v_z,
		Cmp &	v_r
	)		const

virtualinherited

Cmp version

Implements Lorene::Map.

Definition at line 68 of file map_radial_comp_rtp.C.

References Lorene::Map_radial::comp_r_from_cartesian().

◆ comp_t_from_cartesian() [1/2]

void Lorene::Map_radial::comp_t_from_cartesian	(	const Scalar &	v_x,
		const Scalar &	v_y,
		const Scalar &	v_z,
		Scalar &	v_t
	)		const

virtualinherited

Computes the Spherical $\theta$ component (with respect to bvect_spher ) of a vector given by its cartesian components with respect to bvect_cart .

Parameters

v_x	[input] x-component of the vector
v_y	[input] y-component of the vector
v_z	[input] z-component of the vector
v_t	[output] $\theta$ -component of the vector

Implements Lorene::Map.

Definition at line 131 of file map_radial_comp_rtp.C.

References Lorene::Scalar::get_etat().

◆ comp_t_from_cartesian() [2/2]

void Lorene::Map_radial::comp_t_from_cartesian	(	const Cmp &	v_x,
		const Cmp &	v_y,
		const Cmp &	v_z,
		Cmp &	v_t
	)		const

virtualinherited

Cmp version

Implements Lorene::Map.

Definition at line 124 of file map_radial_comp_rtp.C.

References Lorene::Map_radial::comp_t_from_cartesian().

◆ comp_x_from_spherical() [1/2]

void Lorene::Map_radial::comp_x_from_spherical	(	const Scalar &	v_r,
		const Scalar &	v_theta,
		const Scalar &	v_phi,
		Scalar &	v_x
	)		const

virtualinherited

Computes the Cartesian x component (with respect to bvect_cart) of a vector given by its spherical components with respect to bvect_spher.

Parameters

v_r	[input] r -component of the vector
v_theta	[input] $\theta$ -component of the vector
v_phi	[input] $\phi$ -component of the vector
v_x	[output] x-component of the vector

Implements Lorene::Map.

Definition at line 79 of file map_radial_comp_xyz.C.

References Lorene::Scalar::get_etat().

◆ comp_x_from_spherical() [2/2]

void Lorene::Map_radial::comp_x_from_spherical	(	const Cmp &	v_r,
		const Cmp &	v_theta,
		const Cmp &	v_phi,
		Cmp &	v_x
	)		const

virtualinherited

Cmp version

Implements Lorene::Map.

Definition at line 71 of file map_radial_comp_xyz.C.

References Lorene::Map_radial::comp_x_from_spherical().

◆ comp_y_from_spherical() [1/2]

void Lorene::Map_radial::comp_y_from_spherical	(	const Scalar &	v_r,
		const Scalar &	v_theta,
		const Scalar &	v_phi,
		Scalar &	v_y
	)		const

virtualinherited

Computes the Cartesian y component (with respect to bvect_cart ) of a vector given by its spherical components with respect to bvect_spher .

Parameters

v_r	[input] r -component of the vector
v_theta	[input] $\theta$ -component of the vector
v_phi	[input] $\phi$ -component of the vector
v_y	[output] y-component of the vector

Implements Lorene::Map.

Definition at line 138 of file map_radial_comp_xyz.C.

References Lorene::Scalar::get_etat().

◆ comp_y_from_spherical() [2/2]

void Lorene::Map_radial::comp_y_from_spherical	(	const Cmp &	v_r,
		const Cmp &	v_theta,
		const Cmp &	v_phi,
		Cmp &	v_y
	)		const

virtualinherited

Cmp version

Implements Lorene::Map.

Definition at line 129 of file map_radial_comp_xyz.C.

References Lorene::Map_radial::comp_y_from_spherical().

◆ comp_z_from_spherical() [1/2]

void Lorene::Map_radial::comp_z_from_spherical	(	const Scalar &	v_r,
		const Scalar &	v_theta,
		Scalar &	v_z
	)		const

virtualinherited

Computes the Cartesian z component (with respect to bvect_cart ) of a vector given by its spherical components with respect to bvect_spher .

Parameters

v_r	[input] r -component of the vector
v_theta	[input] $\theta$ -component of the vector
v_z	[output] z-component of the vector

Implements Lorene::Map.

Definition at line 195 of file map_radial_comp_xyz.C.

References Lorene::Scalar::get_etat().

◆ comp_z_from_spherical() [2/2]

void Lorene::Map_radial::comp_z_from_spherical	(	const Cmp &	v_r,
		const Cmp &	v_theta,
		Cmp &	v_z
	)		const

virtualinherited

Cmp version

Implements Lorene::Map.

Definition at line 187 of file map_radial_comp_xyz.C.

References Lorene::Map_radial::comp_z_from_spherical().

◆ convert_absolute()

void Lorene::Map::convert_absolute	(	double	xx,
		double	yy,
		double	zz,
		double &	rr,
		double &	theta,
		double &	pphi
	)		const

inherited

Determines the coordinates $(r,\theta,\phi)$ corresponding to given absolute Cartesian coordinates (X,Y,Z).

Parameters

xx	[input] value of the coordinate x (absolute frame)
yy	[input] value of the coordinate y (absolute frame)
zz	[input] value of the coordinate z (absolute frame)
rr	[output] value of r
theta	[output] value of $\theta$
pphi	[output] value of $\phi$

Definition at line 305 of file map.C.

References Lorene::Map::ori_x, Lorene::Map::ori_y, Lorene::Map::ori_z, Lorene::Map::rot_phi, and Lorene::sqrt().

◆ dalembert()

void Lorene::Map_log::dalembert	(	Param &	,
		Scalar &	,
		const Scalar &	,
		const Scalar &	,
		const Scalar &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 202 of file map_log_pas_fait.C.

◆ dec2_dzpuis()

void Lorene::Map_radial::dec2_dzpuis ( Scalar & ci ) const

virtualinherited

Decreases by 2 the value of dzpuis of a Scalar and changes accordingly its values in the
compactified external domain (CED).

Implements Lorene::Map.

Definition at line 751 of file map_radial_r_manip.C.

References Lorene::Scalar::get_etat().

◆ dec_dzpuis()

void Lorene::Map_radial::dec_dzpuis ( Scalar & ci ) const

virtualinherited

Decreases by 1 the value of dzpuis of a Scalar and changes accordingly its values in the compactified external domain (CED).

Implements Lorene::Map.

Definition at line 646 of file map_radial_r_manip.C.

References Lorene::Scalar::get_etat().

◆ div_cost()

void Lorene::Map_radial::div_cost ( Scalar & ci ) const

virtualinherited

Division by $\cos\theta$ of a Scalar.

Implements Lorene::Map.

Definition at line 88 of file map_radial_th_manip.C.

References Lorene::Scalar::get_etat().

◆ div_r()

void Lorene::Map_radial::div_r ( Scalar & ci ) const

virtualinherited

Division by r of a Scalar.

Implements Lorene::Map.

Definition at line 517 of file map_radial_r_manip.C.

References Lorene::Scalar::get_etat().

◆ div_r_zec()

void Lorene::Map_radial::div_r_zec ( Scalar & uu ) const

virtualinherited

Division by r (in the compactified external domain only) of a Scalar.

Implements Lorene::Map.

Definition at line 588 of file map_radial_r_manip.C.

References Lorene::Scalar::get_etat().

◆ div_rsint()

void Lorene::Map_radial::div_rsint ( Scalar & ci ) const

virtualinherited

Division by $r\sin\theta$ of a Scalar.

Implements Lorene::Map.

Definition at line 437 of file map_radial_r_manip.C.

References Lorene::Scalar::get_etat().

◆ div_sint()

void Lorene::Map_radial::div_sint ( Scalar & ci ) const

virtualinherited

Division by $\sin\theta$ of a Scalar.

Implements Lorene::Map.

Definition at line 136 of file map_radial_th_manip.C.

References Lorene::Scalar::get_etat().

◆ div_tant()

void Lorene::Map_radial::div_tant ( Scalar & ci ) const

virtualinherited

Division by $\tan\theta$ of a Scalar.

Implements Lorene::Map.

Definition at line 161 of file map_radial_th_manip.C.

References Lorene::Scalar::get_etat().

◆ donne_para_poisson_vect()

Param * Lorene::Map_log::donne_para_poisson_vect	(	Param &	,
		int
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 181 of file map_log_pas_fait.C.

◆ dsdr() [1/2]

void Lorene::Map_log::dsdr	(	const Scalar &	ci,
		Scalar &	resu
	)		const

virtual

Computes $\partial/ \partial r$ of a Scalar.

Note that in the compactified external domain (CED), it computes $-\partial/ \partial u = r^2 \partial/ \partial r$ .

Parameters

ci	[input] field to consider
resu	[output] derivative of `ci`

Implements Lorene::Map.

Definition at line 111 of file map_log_deriv.C.

References Lorene::Scalar::get_etat().

◆ dsdr() [2/2]

void Lorene::Map_log::dsdr	(	const Cmp &	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 111 of file map_log_pas_fait.C.

◆ dsdradial()

void Lorene::Map_log::dsdradial	(	const Scalar &	uu,
		Scalar &	resu
	)		const

virtual

Computes $\partial/ \partial r$ of a Scalar if the description is affine and $\partial/ \partial \ln r$ if it is logarithmic.

Note that in the compactified external domain (CED), the dzpuis flag of the output is 2 if the input has dzpuis = 0, and is increased by 1 in other cases.

Parameters

uu	[input] field to consider
resu	[output] derivative of `uu`

Implements Lorene::Map.

Definition at line 165 of file map_log_deriv.C.

References Lorene::Scalar::get_etat().

◆ dsdt()

void Lorene::Map_log::dsdt	(	const Scalar &	,
		Scalar &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 135 of file map_log_pas_fait.C.

◆ dsdxi() [1/2]

void Lorene::Map_log::dsdxi	(	const Scalar &	ci,
		Scalar &	resu
	)		const

virtual

Computes $\partial/ \partial \xi$ of a Scalar.

Note that in the compactified external domain (CED), it computes $-\partial/ \partial u = \xi^2 \partial/ \partial \xi$ .

Parameters

ci	[input] field to consider
resu	[output] derivative of `ci`

Implements Lorene::Map.

Definition at line 57 of file map_log_deriv.C.

References Lorene::Scalar::get_etat().

◆ dsdxi() [2/2]

void Lorene::Map_log::dsdxi	(	const Cmp &	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 115 of file map_log_pas_fait.C.

◆ flat_met_cart()

const Metric_flat & Lorene::Map::flat_met_cart ( ) const

inherited

Returns the flat metric associated with the Cartesian coordinates and with components expressed in the triad bvect_cart.

Definition at line 334 of file map.C.

References Lorene::Map::bvect_cart, and Lorene::Map::p_flat_met_cart.

◆ flat_met_spher()

const Metric_flat & Lorene::Map::flat_met_spher ( ) const

inherited

Returns the flat metric associated with the spherical coordinates and with components expressed in the triad bvect_spher.

Definition at line 324 of file map.C.

References Lorene::Map::bvect_spher, and Lorene::Map::p_flat_met_spher.

◆ get_alpha()

double Lorene::Map_log::get_alpha ( int l ) const

inline

Returns $\alpha$ in the domain l.

Definition at line 3670 of file map.h.

References alpha.

◆ get_beta()

double Lorene::Map_log::get_beta ( int l ) const

inline

Returns $\beta$ in the domain l.

Definition at line 3672 of file map.h.

References beta.

◆ get_bvect_cart()

const Base_vect_cart& Lorene::Map::get_bvect_cart ( ) const

inlineinherited

Returns the Cartesian basis $(\partial/\partial x,\partial/\partial y,\partial/\partial z)$ associated with the coordinates (x,y,z) of the mapping, i.e.

the Cartesian coordinates related to $(r, \theta, \phi)$ by means of usual formulae.

Definition at line 809 of file map.h.

References Lorene::Map::bvect_cart.

◆ get_bvect_spher()

const Base_vect_spher& Lorene::Map::get_bvect_spher ( ) const

inlineinherited

Returns the orthonormal vectorial basis $(\partial/\partial r,1/r\partial/\partial \theta, 1/(r\sin\theta)\partial/\partial \phi)$ associated with the coordinates $(r, \theta, \phi)$ of the mapping.

Definition at line 801 of file map.h.

References Lorene::Map::bvect_spher.

◆ get_mg()

const Mg3d* Lorene::Map::get_mg ( ) const

inlineinherited

Gives the Mg3d on which the mapping is defined.

Definition at line 783 of file map.h.

References Lorene::Map::mg.

◆ get_ori_x()

double Lorene::Map::get_ori_x ( ) const

inlineinherited

Returns the x coordinate of the origin.

Definition at line 786 of file map.h.

References Lorene::Map::ori_x.

◆ get_ori_y()

double Lorene::Map::get_ori_y ( ) const

inlineinherited

Returns the y coordinate of the origin.

Definition at line 788 of file map.h.

References Lorene::Map::ori_y.

◆ get_ori_z()

double Lorene::Map::get_ori_z ( ) const

inlineinherited

Returns the z coordinate of the origin.

Definition at line 790 of file map.h.

References Lorene::Map::ori_z.

◆ get_rot_phi()

double Lorene::Map::get_rot_phi ( ) const

inlineinherited

Returns the angle between the x –axis and X –axis.

Definition at line 793 of file map.h.

References Lorene::Map::rot_phi.

◆ get_type()

int Lorene::Map_log::get_type ( int l ) const

inline

Returns the type of description in the domain l.

Definition at line 3674 of file map.h.

References type_var.

◆ homothetie()

void Lorene::Map_log::homothetie ( double lambda )

virtual

Sets a new radial scale.

Parameters

lambda [input] factor by which the value of r is to be multiplied

Implements Lorene::Map.

Definition at line 99 of file map_log_pas_fait.C.

◆ inc2_dzpuis()

void Lorene::Map_radial::inc2_dzpuis ( Scalar & ci ) const

virtualinherited

Increases by 2 the value of dzpuis of a Scalar and changes accordingly its values in the
compactified external domain (CED).

Implements Lorene::Map.

Definition at line 802 of file map_radial_r_manip.C.

References Lorene::Scalar::get_etat().

◆ inc_dzpuis()

void Lorene::Map_radial::inc_dzpuis ( Scalar & ci ) const

virtualinherited

Increases by 1 the value of dzpuis of a Scalar and changes accordingly its values in the
compactified external domain (CED).

Implements Lorene::Map.

Definition at line 699 of file map_radial_r_manip.C.

References Lorene::Scalar::get_etat().

◆ integrale()

Tbl * Lorene::Map_log::integrale ( const Cmp & ) const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 155 of file map_log_pas_fait.C.

◆ lapang()

void Lorene::Map_log::lapang	(	const Scalar &	,
		Scalar &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 151 of file map_log_pas_fait.C.

◆ laplacien() [1/2]

void Lorene::Map_log::laplacien	(	const Scalar &	,
		int	,
		Scalar &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 147 of file map_log_pas_fait.C.

◆ laplacien() [2/2]

void Lorene::Map_log::laplacien	(	const Cmp &	,
		int	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 143 of file map_log_pas_fait.C.

◆ mp_angu()

const Map_af & Lorene::Map_log::mp_angu ( int ) const

virtual

Returns the "angular" mapping for the outside of domain l_zone.

Valid only for the class Map_af.

Implements Lorene::Map.

Definition at line 206 of file map_log_pas_fait.C.

References Lorene::Map::p_mp_angu.

◆ mult_cost()

void Lorene::Map_radial::mult_cost ( Scalar & ci ) const

virtualinherited

Multiplication by $\cos\theta$ of a Scalar.

Implements Lorene::Map.

Definition at line 64 of file map_radial_th_manip.C.

References Lorene::Scalar::get_etat().

◆ mult_r() [1/2]

void Lorene::Map_radial::mult_r ( Scalar & uu ) const

virtualinherited

Multiplication by r of a Scalar, the dzpuis
of uu is not changed.

Implements Lorene::Map.

Definition at line 147 of file map_radial_r_manip.C.

References Lorene::Scalar::get_etat().

◆ mult_r() [2/2]

void Lorene::Map_radial::mult_r ( Cmp & ci ) const

virtualinherited

Multiplication by r of a Cmp.

In the CED, there is only a decrement of dzpuis

Implements Lorene::Map.

Definition at line 222 of file map_radial_r_manip.C.

References Lorene::Cmp::get_etat().

◆ mult_r_zec()

void Lorene::Map_radial::mult_r_zec ( Scalar & ci ) const

virtualinherited

Multiplication by r (in the compactified external domain only) of a Scalar.

Implements Lorene::Map.

Definition at line 299 of file map_radial_r_manip.C.

References Lorene::Scalar::get_etat().

◆ mult_rsint()

void Lorene::Map_radial::mult_rsint ( Scalar & ci ) const

virtualinherited

Multiplication by $r\sin\theta$ of a Scalar.

Implements Lorene::Map.

Definition at line 358 of file map_radial_r_manip.C.

References Lorene::Scalar::get_etat().

◆ mult_sint()

void Lorene::Map_radial::mult_sint ( Scalar & ci ) const

virtualinherited

Multiplication by $\sin\theta$ of a Scalar.

Implements Lorene::Map.

Definition at line 112 of file map_radial_th_manip.C.

References Lorene::Scalar::get_etat().

◆ operator=()

void Lorene::Map_log::operator= ( const Map_af & mpa )

virtual

Assignment to an affine mapping.

Implements Lorene::Map_radial.

Definition at line 233 of file map_log.C.

References alpha, beta, Lorene::Map_af::get_alpha(), Lorene::Map_af::get_beta(), Lorene::Map::get_mg(), Lorene::Mg3d::get_nzone(), Lorene::Map::get_ori_x(), Lorene::Map::get_ori_y(), Lorene::Map::get_ori_z(), Lorene::Map::get_rot_phi(), Lorene::Map::mg, Lorene::Map_radial::reset_coord(), Lorene::Tbl::set(), Lorene::Map::set_ori(), Lorene::Map::set_rot_phi(), and type_var.

◆ operator==()

bool Lorene::Map_log::operator== ( const Map & ) const

virtual

Comparison operator (egality)

Implements Lorene::Map_radial.

Definition at line 175 of file map_log.C.

References alpha, beta, Lorene::Map::bvect_cart, Lorene::Map::bvect_spher, Lorene::diffrelmax(), Lorene::Map::get_bvect_cart(), Lorene::Map::get_bvect_spher(), Lorene::Map::get_mg(), Lorene::Map::get_ori_x(), Lorene::Map::get_ori_y(), Lorene::Map::get_ori_z(), Lorene::Map::mg, Lorene::Map::ori_x, Lorene::Map::ori_y, Lorene::Map::ori_z, and type_var.

◆ operator>>()

ostream & Lorene::Map_log::operator>> ( ostream & ost ) const

virtual

Operator >>

Implements Lorene::Map.

Definition at line 207 of file map_log.C.

References alpha, beta, Lorene::Mg3d::get_nr(), Lorene::Mg3d::get_nzone(), Lorene::Map::mg, Lorene::Map::r, and type_var.

◆ poisson()

void Lorene::Map_log::poisson	(	const Cmp &	,
		Param &	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 160 of file map_log_pas_fait.C.

◆ poisson2d()

void Lorene::Map_log::poisson2d	(	const Cmp &	,
		const Cmp &	,
		Param &	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 198 of file map_log_pas_fait.C.

◆ poisson_angu() [1/2]

void Lorene::Map_log::poisson_angu	(	const Scalar &	,
		Param &	,
		Scalar &	,
		double	= `0`
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 173 of file map_log_pas_fait.C.

◆ poisson_angu() [2/2]

void Lorene::Map_log::poisson_angu	(	const Cmp &	,
		Param &	,
		Cmp &	,
		double	= `0`
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 177 of file map_log_pas_fait.C.

◆ poisson_compact() [1/2]

void Lorene::Map_radial::poisson_compact	(	const Cmp &	source,
		const Cmp &	aa,
		const Tenseur &	bb,
		const Param &	par,
		Cmp &	psi
	)		const

virtualinherited

Resolution of the elliptic equation $a \Delta\psi + {\bf b} \cdot \nabla \psi = \sigma$ in the case where the stellar interior is covered by a single domain.

Parameters

source	[input] source $\sigma$ of the above equation
aa	[input] factor a in the above equation
bb	[input] vector b in the above equation
par	[input/output] parameters of the iterative method of resolution : \ `par.get_int(0)` : [input] maximum number of iterations \ `par.get_double(0)` : [input] required precision: the iterative method is stopped as soon as the relative difference between $\psi^J$ and $\psi^{J-1}$ is greater than `par.get_double(0)` \ `par.get_double(1)` : [input] relaxation parameter $\lambda$ \ `par.get_int_mod(0)` : [output] number of iterations actually used to get the solution.
psi	[input/output]: input : previously computed value of $\psi$ to start the iteration (if nothing is known a priori, `psi` must be set to zero); output: solution $\psi$ which satisfies $\psi(0)=0$ .

Implements Lorene::Map.

Definition at line 158 of file map_radial_poisson_cpt.C.

References Lorene::Cmp::get_etat().

◆ poisson_compact() [2/2]

void Lorene::Map_radial::poisson_compact	(	int	nzet,
		const Cmp &	source,
		const Cmp &	aa,
		const Tenseur &	bb,
		const Param &	par,
		Cmp &	psi
	)		const

virtualinherited

Resolution of the elliptic equation $a \Delta\psi + {\bf b} \cdot \nabla \psi = \sigma$ in the case of a multidomain stellar interior.

Parameters

nzet	[input] number of domains covering the stellar interior
source	[input] source $\sigma$ of the above equation
aa	[input] factor a in the above equation
bb	[input] vector b in the above equation
par	[input/output] possible parameters to control the resolution of the equation. See the actual implementation in the derived class of `Map` for documentation.
psi	[input/output] solution $\psi$ which satisfies $\psi(0)=0$ .

Implements Lorene::Map.

Definition at line 456 of file map_radial_poisson_cpt.C.

References Lorene::Cmp::get_etat(), and Lorene::Map_radial::poisson_compact().

◆ poisson_falloff()

void Lorene::Map_log::poisson_falloff	(	const Cmp &	,
		Param &	,
		Cmp &	,
		int
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 216 of file map_log_pas_fait.C.

◆ poisson_frontiere()

void Lorene::Map_log::poisson_frontiere	(	const Cmp &	,
		const Valeur &	,
		int	,
		int	,
		Cmp &	,
		double	= `0.`,
		double	= `0.`
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 186 of file map_log_pas_fait.C.

◆ poisson_frontiere_double()

void Lorene::Map_log::poisson_frontiere_double	(	const Cmp &	,
		const Valeur &	,
		const Valeur &	,
		int	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 190 of file map_log_pas_fait.C.

◆ poisson_interne()

void Lorene::Map_log::poisson_interne	(	const Cmp &	,
		const Valeur &	,
		Param &	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 194 of file map_log_pas_fait.C.

◆ poisson_regular()

void Lorene::Map_log::poisson_regular	(	const Cmp &	,
		int	,
		int	,
		double	,
		Param &	,
		Cmp &	,
		Cmp &	,
		Cmp &	,
		Tenseur &	,
		Cmp &	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 168 of file map_log_pas_fait.C.

◆ poisson_tau()

void Lorene::Map_log::poisson_tau	(	const Cmp &	,
		Param &	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 164 of file map_log_pas_fait.C.

◆ poisson_ylm()

void Lorene::Map_log::poisson_ylm	(	const Cmp &	,
		Param &	,
		Cmp &	,
		int	,
		double *
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 220 of file map_log_pas_fait.C.

◆ primr()

void Lorene::Map_log::primr	(	const Scalar &	,
		Scalar &	,
		bool
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 212 of file map_log_pas_fait.C.

◆ reevaluate() [1/2]

void Lorene::Map_radial::reevaluate	(	const Map *	mp_prev,
		int	nzet,
		Cmp &	uu
	)		const

virtualinherited

Recomputes the values of a Cmp at the collocation points after a change in the mapping.

Parameters

mp_prev	[input] Previous value of the mapping.
nzet	[input] Number of domains where the computation must be done: the computation is performed for the domains of index $0\le {\tt l} \le {\tt nzet-1}$ ; `uu` is set to zero in the other domains.
uu	[input/output] input : `Cmp` previously computed on the mapping `mp_prev` ; ouput : values of (logically) the same `Cmp` at the grid points defined by `this`.

Implements Lorene::Map.

Definition at line 64 of file map_radial_reevaluate.C.

References Lorene::Cmp::get_dzpuis(), Lorene::Cmp::get_etat(), Lorene::Cmp::get_mp(), Lorene::Mg3d::get_nzone(), and Lorene::Map::mg.

◆ reevaluate() [2/2]

void Lorene::Map_radial::reevaluate	(	const Map *	mp_prev,
		int	nzet,
		Scalar &	uu
	)		const

virtualinherited

Recomputes the values of a Scalar at the collocation points after a change in the mapping.

Parameters

mp_prev	[input] Previous value of the mapping.
nzet	[input] Number of domains where the computation must be done: the computation is performed for the domains of index $0\le {\tt l} \le {\tt nzet-1}$ ; `uu` is set to zero in the other domains.
uu	[input/output] input : `Scalar` previously computed on the mapping `mp_prev` ; ouput : values of (logically) the same `Scalar` at the grid points defined by `this`.

Implements Lorene::Map.

Definition at line 179 of file map_radial_reevaluate.C.

References Lorene::Scalar::get_dzpuis(), Lorene::Scalar::get_etat(), Lorene::Tensor::get_mp(), Lorene::Mg3d::get_nzone(), and Lorene::Map::mg.

◆ reevaluate_symy() [1/2]

void Lorene::Map_radial::reevaluate_symy	(	const Map *	mp_prev,
		int	nzet,
		Cmp &	uu
	)		const

virtualinherited

Recomputes the values of a Cmp at the collocation points after a change in the mapping.

Case where the Cmp is symmetric with respect to the plane y=0.

Parameters

mp_prev	[input] Previous value of the mapping.
nzet	[input] Number of domains where the computation must be done: the computation is performed for the domains of index $0\le {\tt l} \le {\tt nzet-1}$ ; `uu` is set to zero in the other domains.
uu	[input/output] input : `Cmp` previously computed on the mapping `mp_prev` ; ouput : values of (logically) the same `Cmp` at the grid points defined by `this`.

Implements Lorene::Map.

Definition at line 65 of file map_radial_reeval_symy.C.

References Lorene::Cmp::get_dzpuis(), Lorene::Cmp::get_etat(), Lorene::Cmp::get_mp(), Lorene::Mg3d::get_nzone(), and Lorene::Map::mg.

◆ reevaluate_symy() [2/2]

void Lorene::Map_radial::reevaluate_symy	(	const Map *	mp_prev,
		int	nzet,
		Scalar &	uu
	)		const

virtualinherited

Recomputes the values of a Scalar at the collocation points after a change in the mapping.

Case where the Scalar is symmetric with respect to the plane y=0.

Parameters

mp_prev	[input] Previous value of the mapping.
nzet	[input] Number of domains where the computation must be done: the computation is performed for the domains of index $0\le {\tt l} \le {\tt nzet-1}$ ; `uu` is set to zero in the other domains.
uu	[input/output] input : `Scalar` previously computed on the mapping `mp_prev` ; ouput : values of (logically) the same `Scalar` at the grid points defined by `this`.

Implements Lorene::Map.

Definition at line 199 of file map_radial_reeval_symy.C.

References Lorene::Scalar::get_dzpuis(), Lorene::Scalar::get_etat(), Lorene::Tensor::get_mp(), Lorene::Mg3d::get_nzone(), and Lorene::Map::mg.

◆ reset_coord()

void Lorene::Map_radial::reset_coord ( )

protectedvirtualinherited

Resets all the member Coords.

Reimplemented from Lorene::Map.

Reimplemented in Lorene::Map_et.

Definition at line 129 of file map_radial.C.

References Lorene::Map_radial::d2rdtdx, Lorene::Map_radial::d2rdx2, Lorene::Coord::del_t(), Lorene::Map_radial::drdt, Lorene::Map_radial::dxdr, Lorene::Map_radial::lapr_tp, Lorene::Map::reset_coord(), Lorene::Map_radial::sr2d2rdt2, Lorene::Map_radial::sr2drdt, Lorene::Map_radial::sr2stdrdp, Lorene::Map_radial::srdrdt, Lorene::Map_radial::srstdrdp, Lorene::Map_radial::sstd2rdpdx, Lorene::Map_radial::stdrdp, and Lorene::Map_radial::xsr.

◆ resize()

void Lorene::Map_log::resize	(	int	,
		double
	)

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 103 of file map_log_pas_fait.C.

◆ sauve()

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

virtual

Save in a file.

Reimplemented from Lorene::Map_radial.

Definition at line 166 of file map_log.C.

References alpha, beta, Lorene::Itbl::sauve(), Lorene::Tbl::sauve(), Lorene::Map_radial::sauve(), and type_var.

◆ set_ori()

void Lorene::Map::set_ori	(	double	xa0,
		double	ya0,
		double	za0
	)

inherited

Sets a new origin.

Definition at line 256 of file map.C.

References Lorene::Map::bvect_spher, Lorene::Map::ori_x, Lorene::Map::ori_y, Lorene::Map::ori_z, Lorene::Map::reset_coord(), and Lorene::Base_vect_spher::set_ori().

◆ set_rot_phi()

void Lorene::Map::set_rot_phi ( double phi0 )

inherited

Sets a new rotation angle.

Definition at line 266 of file map.C.

References Lorene::Map::bvect_cart, Lorene::Map::bvect_spher, Lorene::Map::reset_coord(), Lorene::Map::rot_phi, Lorene::Base_vect_cart::set_rot_phi(), and Lorene::Base_vect_spher::set_rot_phi().

◆ sol_elliptic()

void Lorene::Map_log::sol_elliptic	(	Param_elliptic &	params,
		const Scalar &	so,
		Scalar &	uu
	)		const

General elliptic solver.

The field is zero at infinity.

Parameters

params	[input] : the operators and variables to be uses.
so	[input] : the source.
uu	[output] : the solution.

Definition at line 81 of file map_log_elliptic.C.

References Lorene::Scalar::get_etat().

◆ sol_elliptic_boundary() [1/2]

void Lorene::Map_log::sol_elliptic_boundary	(	Param_elliptic &	params,
		const Scalar &	so,
		Scalar &	uu,
		const Mtbl_cf &	bound,
		double	fact_dir,
		double	fact_neu
	)		const

General elliptic solver including inner boundary conditions.

The field is zero at infinity.

Parameters

params	[input] : the operators and variables to be uses.
so	[input] : the source.
uu	[output] : the solution.
bound	[input] : the boundary condition
fact_dir	: 1 Dirchlet condition, 0 Neumann condition
fact_neu	: 0 Dirchlet condition, 1 Neumann condition

Definition at line 138 of file map_log_elliptic.C.

References Lorene::Scalar::get_etat().

◆ sol_elliptic_boundary() [2/2]

void Lorene::Map_log::sol_elliptic_boundary	(	Param_elliptic &	params,
		const Scalar &	so,
		Scalar &	uu,
		const Scalar &	bound,
		double	fact_dir,
		double	fact_neu
	)		const

General elliptic solver including inner boundary conditions, the bound being given as a Scalar on a mono-domain angular grid.

Definition at line 197 of file map_log_elliptic.C.

References Lorene::Scalar::get_etat().

◆ sol_elliptic_no_zec()

void Lorene::Map_log::sol_elliptic_no_zec	(	Param_elliptic &	params,
		const Scalar &	so,
		Scalar &	uu,
		double	val
	)		const

General elliptic solver.

The equation is not solved in the compactified domain.

Parameters

params	[input] : the operators and variables to be uses.
so	[input] : the source.
uu	[output] : the solution.
val	[input] : value at the last shell.

Definition at line 281 of file map_log_elliptic.C.

References Lorene::Scalar::get_etat().

◆ srdsdt() [1/2]

void Lorene::Map_log::srdsdt	(	const Cmp &	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 119 of file map_log_pas_fait.C.

◆ srdsdt() [2/2]

void Lorene::Map_log::srdsdt	(	const Scalar &	,
		Scalar &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 127 of file map_log_pas_fait.C.

◆ srstdsdp() [1/2]

void Lorene::Map_log::srstdsdp	(	const Cmp &	,
		Cmp &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 123 of file map_log_pas_fait.C.

◆ srstdsdp() [2/2]

void Lorene::Map_log::srstdsdp	(	const Scalar &	,
		Scalar &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 131 of file map_log_pas_fait.C.

◆ stdsdp()

void Lorene::Map_log::stdsdp	(	const Scalar &	,
		Scalar &
	)		const

virtual

< Not implemented

Implements Lorene::Map.

Definition at line 139 of file map_log_pas_fait.C.

◆ val_lx() [1/2]

void Lorene::Map_log::val_lx	(	double	rr,
		double	theta,
		double	pphi,
		int &	l,
		double &	xi
	)		const

virtual

Computes the domain index l and the value of $\xi$ corresponding to a point given by its physical coordinates $(r, \theta, \phi)$ .

Parameters

rr	[input] value of r
theta	[input] value of $\theta$
pphi	[input] value of $\phi$
l	[output] value of the domain index
xi	[output] value of $\xi$

Implements Lorene::Map.

Definition at line 121 of file map_log_radius.C.

References alpha, beta, Lorene::exp(), Lorene::Mg3d::get_nzone(), Lorene::Mg3d::get_type_r(), Lorene::Map::mg, and type_var.

◆ val_lx() [2/2]

void Lorene::Map_log::val_lx	(	double	rr,
		double	theta,
		double	pphi,
		const Param &	par,
		int &	l,
		double &	xi
	)		const

virtual

Computes the domain index l and the value of $\xi$ corresponding to a point given by its physical coordinates $(r, \theta, \phi)$ .

Parameters

rr	[input] value of r
theta	[input] value of $\theta$
pphi	[input] value of $\phi$
par	[] unused by the `Map_af` version
l	[output] value of the domain index
xi	[output] value of $\xi$

Implements Lorene::Map.

Definition at line 207 of file map_log_radius.C.

References val_lx().

◆ val_lx_jk()

void Lorene::Map_log::val_lx_jk	(	double	rr,
		int	j,
		int	k,
		const Param &	par,
		int &	l,
		double &	xi
	)		const

virtual

Computes the domain index l and the value of $\xi$ corresponding to a point of arbitrary r but collocation values of $(\theta, \phi)$ .

Parameters

rr	[input] value of r
j	[input] index of the collocation point in $\theta$
k	[input] index of the collocation point in $\phi$
par	[] unused by the `Map_af` version
l	[output] value of the domain index
xi	[output] value of $\xi$

Implements Lorene::Map_radial.

Definition at line 230 of file map_log_radius.C.

References val_lx().

◆ val_r()

double Lorene::Map_log::val_r	(	int	l,
		double	xi,
		double	theta,
		double	pphi
	)		const

virtual

Returns the value of the radial coordinate r for a given $(\xi, \theta', \phi')$ in a given domain.

Parameters

l	[input] index of the domain
xi	[input] value of $\xi$
theta	[input] value of $\theta'$
pphi	[input] value of $\phi'$

Returns: value of $r=R_l(\xi, \theta', \phi')$

Implements Lorene::Map.

Definition at line 64 of file map_log_radius.C.

References Lorene::Mg3d::get_type_r(), Lorene::Map::mg, and type_var.

◆ val_r_jk()

double Lorene::Map_log::val_r_jk	(	int	l,
		double	xi,
		int	j,
		int	k
	)		const

virtual

< Comparison operator

Returns the value of the radial coordinate r for a given $\xi$ and a given collocation point in $(\theta', \phi')$ in a given domain.

Parameters

l	[input] index of the domain
xi	[input] value of $\xi$
j	[input] index of the collocation point in $\theta'$
k	[input] index of the collocation point in $\phi'$

Returns: value of $r=R_l(\xi, {\theta'}_j, {\phi'}_k)$

Implements Lorene::Map_radial.

Definition at line 220 of file map_log_radius.C.

References val_r().

Friends And Related Function Documentation

◆ map_log_fait_r

Mtbl* map_log_fait_r ( const Map * cvi )

friend

< Not implemented

Definition at line 60 of file map_log_fait.C.

Member Data Documentation

◆ alpha

Tbl Lorene::Map_log::alpha

private

Array (size: mg->nzone ) of the values of $\alpha$ in each domain.

Definition at line 3622 of file map.h.

◆ beta

Tbl Lorene::Map_log::beta

private

Array (size: mg->nzone ) of the values of $\beta$ in each domain.

Definition at line 3624 of file map.h.

◆ bvect_cart

Base_vect_cart Lorene::Map::bvect_cart

protectedinherited

Cartesian basis $(\partial/\partial x,\partial/\partial y,\partial/\partial z)$ associated with the coordinates (x,y,z) of the mapping, i.e.

the Cartesian coordinates related to $(r, \theta, \phi)$ by means of usual formulae.

Definition at line 715 of file map.h.

◆ bvect_spher

Base_vect_spher Lorene::Map::bvect_spher

protectedinherited

Orthonormal vectorial basis $(\partial/\partial r,1/r\partial/\partial \theta, 1/(r\sin\theta)\partial/\partial \phi)$ associated with the coordinates $(r, \theta, \phi)$ of the mapping.

Definition at line 707 of file map.h.

◆ cosp

Coord Lorene::Map::cosp

inherited

$\cos\phi$

Definition at line 742 of file map.h.

◆ cost

Coord Lorene::Map::cost

inherited

$\cos\theta$

Definition at line 740 of file map.h.

◆ d2rdtdx

Coord Lorene::Map_radial::d2rdtdx

inherited

$\partial^2 R/\partial\xi\partial\theta'$ in the nucleus and in the non-compactified shells; \ $-\partial^2 U/\partial\xi\partial\theta'$ in the compactified outer domain.

Definition at line 1661 of file map.h.

◆ d2rdx2

Coord Lorene::Map_radial::d2rdx2

inherited

$\partial^2 R/\partial\xi^2$ in the nucleus and in the non-compactified shells; \ $-\partial^2 U/\partial\xi^2$ in the compactified outer domain.

Definition at line 1640 of file map.h.

◆ drdt

Coord Lorene::Map_radial::drdt

inherited

$\partial R/\partial\theta'$ in the nucleus and in the non-compactified shells; \ $-\partial U/\partial\theta'$ in the compactified external domain (CED).

Definition at line 1589 of file map.h.

◆ dxdlnr

Coord Lorene::Map_log::dxdlnr

Same as dxdr if the domains where the description is affine and $\partial x / \partial \ln r$ where it is logarithmic.

Definition at line 3636 of file map.h.

◆ dxdr

Coord Lorene::Map_radial::dxdr

inherited

$1/(\partial R/\partial\xi) = \partial \xi /\partial r$ in the nucleus and in the non-compactified shells; \ $-1/(\partial U/\partial\xi) = - \partial \xi /\partial u$ in the compactified outer domain.

Definition at line 1581 of file map.h.

◆ lapr_tp

Coord Lorene::Map_radial::lapr_tp

inherited

$1/R^2 \times [ 1/\sin(\theta)\times \partial /\partial\theta' (\sin\theta \partial R /\partial\theta') + 1/\sin^2\theta \partial^2 R /\partial{\varphi'}^2]$ in the nucleus and in the non-compactified shells; \ $- 1/U^2 \times [ 1/\sin(\theta)\times \partial /\partial\theta' (\sin\theta \partial U /\partial\theta') + 1/\sin^2\theta \partial^2 U /\partial{\varphi'}^2]$ in the compactified outer domain.

Definition at line 1652 of file map.h.

◆ mg

const Mg3d* Lorene::Map::mg

protectedinherited

Pointer on the multi-grid Mgd3 on which this is defined.

Definition at line 694 of file map.h.

◆ ori_x

double Lorene::Map::ori_x

protectedinherited

Absolute coordinate x of the origin.

Definition at line 696 of file map.h.

◆ ori_y

double Lorene::Map::ori_y

protectedinherited

Absolute coordinate y of the origin.

Definition at line 697 of file map.h.

◆ ori_z

double Lorene::Map::ori_z

protectedinherited

Absolute coordinate z of the origin.

Definition at line 698 of file map.h.

◆ p_cmp_zero

Cmp* Lorene::Map::p_cmp_zero

protectedinherited

The null Cmp.

To be used by the Tenseur class when necessary to return a null Cmp .

Definition at line 731 of file map.h.

◆ p_flat_met_cart

Metric_flat* Lorene::Map::p_flat_met_cart

mutableprotectedinherited

Pointer onto the flat metric associated with the Cartesian coordinates and with components expressed in the triad bvect_cart.

Definition at line 725 of file map.h.

◆ p_flat_met_spher

Metric_flat* Lorene::Map::p_flat_met_spher

mutableprotectedinherited

Pointer onto the flat metric associated with the spherical coordinates and with components expressed in the triad bvect_spher.

Definition at line 720 of file map.h.

◆ p_mp_angu

Map_af* Lorene::Map::p_mp_angu

mutableprotectedinherited

Pointer on the "angular" mapping.

Definition at line 733 of file map.h.

◆ phi

Coord Lorene::Map::phi

inherited

$\phi$ coordinate centered on the grid

Definition at line 738 of file map.h.

◆ r

Coord Lorene::Map::r

inherited

r coordinate centered on the grid

Definition at line 736 of file map.h.

◆ rot_phi

double Lorene::Map::rot_phi

protectedinherited

Angle between the x –axis and X –axis.

Definition at line 699 of file map.h.

◆ sinp

Coord Lorene::Map::sinp

inherited

$\sin\phi$

Definition at line 741 of file map.h.

◆ sint

Coord Lorene::Map::sint

inherited

$\sin\theta$

Definition at line 739 of file map.h.

◆ sr2d2rdt2

Coord Lorene::Map_radial::sr2d2rdt2

inherited

$1/R^2 \partial^2 R/\partial{\theta'}^2$ in the nucleus and in the non-compactified shells; \ $-1/U^2 \partial^2 U/\partial{\theta'}^2$ in the compactified outer domain.

Definition at line 1678 of file map.h.

◆ sr2drdt

Coord Lorene::Map_radial::sr2drdt

inherited

$1/R^2 \times (\partial R/\partial\theta')$ in the nucleus and in the non-compactified shells; \ $-1/U^2 \times (\partial U/\partial\theta')$ in the compactified outer domain.

Definition at line 1621 of file map.h.

◆ sr2stdrdp

Coord Lorene::Map_radial::sr2stdrdp

inherited

$1/(R^2\sin\theta) \times (\partial R/\partial\varphi')$ in the nucleus and in the non-compactified shells; \ $-1/(U^2\sin\theta) \times (\partial U/\partial\varphi')$ in the compactified outer domain.

Definition at line 1629 of file map.h.

◆ srdrdt

Coord Lorene::Map_radial::srdrdt

inherited

$1/R \times (\partial R/\partial\theta')$ in the nucleus and in the non-compactified shells; \ $-1/U \times (\partial U/\partial\theta)$ in the compactified outer domain.

Definition at line 1605 of file map.h.

◆ srstdrdp

Coord Lorene::Map_radial::srstdrdp

inherited

$1/(R\sin\theta) \times (\partial R/\partial\varphi')$ in the nucleus and in the non-compactified shells; \ $-1/(U\sin\theta) \times (\partial U/\partial\varphi')$ in the compactified outer domain.

Definition at line 1613 of file map.h.

◆ sstd2rdpdx

Coord Lorene::Map_radial::sstd2rdpdx

inherited

$1/\sin\theta \times \partial^2 R/\partial\xi\partial\varphi'$ in the nucleus and in the non-compactified shells; \ $-1/\sin\theta \times \partial^2 U/\partial\xi\partial\varphi'$ in the compactified outer domain.

Definition at line 1669 of file map.h.

◆ stdrdp

Coord Lorene::Map_radial::stdrdp

inherited

${1\over\sin\theta} \partial R/\partial\varphi'$ in the nucleus and in the non-compactified shells; \ $-{1\over\sin\theta}\partial U/\partial\varphi'$ in the compactified external domain (CED).

Definition at line 1597 of file map.h.

◆ tet

Coord Lorene::Map::tet

inherited

$\theta$ coordinate centered on the grid

Definition at line 737 of file map.h.

◆ type_var

Itbl Lorene::Map_log::type_var

private

Array (size: mg->nzone ) of the type of variable in each domain.

The possibles types are AFFINE and LOG.

Definition at line 3628 of file map.h.

◆ x

Coord Lorene::Map::x

inherited

x coordinate centered on the grid

Definition at line 744 of file map.h.

◆ xa

Coord Lorene::Map::xa

inherited

Absolute x coordinate.

Definition at line 748 of file map.h.

◆ xsr

Coord Lorene::Map_radial::xsr

inherited

$\xi/R$ in the nucleus; \ 1/R in the non-compactified shells; \ $(\xi-1)/U$ in the compactified outer domain.

Definition at line 1570 of file map.h.

◆ y

Coord Lorene::Map::y

inherited

y coordinate centered on the grid

Definition at line 745 of file map.h.

◆ ya

Coord Lorene::Map::ya

inherited

Absolute y coordinate.

Definition at line 749 of file map.h.

◆ z

Coord Lorene::Map::z

inherited

z coordinate centered on the grid

Definition at line 746 of file map.h.

◆ za

Coord Lorene::Map::za

inherited

Absolute z coordinate.

Definition at line 750 of file map.h.

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

Public Member Functions

Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Map_log() [1/3]

◆ Map_log() [2/3]

◆ Map_log() [3/3]

◆ ~Map_log()

Member Function Documentation

◆ adapt()

◆ cmp_zero()

◆ comp_p_from_cartesian() [1/2]

◆ comp_p_from_cartesian() [2/2]

◆ comp_r_from_cartesian() [1/2]

◆ comp_r_from_cartesian() [2/2]

◆ comp_t_from_cartesian() [1/2]

◆ comp_t_from_cartesian() [2/2]

◆ comp_x_from_spherical() [1/2]

◆ comp_x_from_spherical() [2/2]

◆ comp_y_from_spherical() [1/2]

◆ comp_y_from_spherical() [2/2]

◆ comp_z_from_spherical() [1/2]

◆ comp_z_from_spherical() [2/2]

◆ convert_absolute()

◆ dalembert()

◆ dec2_dzpuis()

◆ dec_dzpuis()

◆ div_cost()

◆ div_r()

◆ div_r_zec()

◆ div_rsint()

◆ div_sint()

◆ div_tant()

◆ donne_para_poisson_vect()

◆ dsdr() [1/2]

◆ dsdr() [2/2]

◆ dsdradial()

◆ dsdt()

◆ dsdxi() [1/2]

◆ dsdxi() [2/2]

◆ flat_met_cart()

◆ flat_met_spher()

◆ get_alpha()

◆ get_beta()

◆ get_bvect_cart()

◆ get_bvect_spher()

◆ get_mg()

◆ get_ori_x()

◆ get_ori_y()

◆ get_ori_z()

◆ get_rot_phi()

◆ get_type()

◆ homothetie()

◆ inc2_dzpuis()

◆ inc_dzpuis()

◆ integrale()

◆ lapang()

◆ laplacien() [1/2]

◆ laplacien() [2/2]

◆ mp_angu()

◆ mult_cost()

◆ mult_r() [1/2]

◆ mult_r() [2/2]

◆ mult_r_zec()

◆ mult_rsint()

◆ mult_sint()

◆ operator=()

◆ operator==()

◆ operator>>()

◆ poisson()

◆ poisson2d()

◆ poisson_angu() [1/2]

◆ poisson_angu() [2/2]

◆ poisson_compact() [1/2]

◆ poisson_compact() [2/2]