Base class for pure radial mappings. More...

#include <map.h>

Inheritance diagram for Lorene::Map_radial:

Public Member Functions
virtual	~Map_radial ()
	Destructor. More...

virtual void	operator= (const Map_af &)=0
	Assignment to an affine mapping. More...

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

virtual double	val_r_jk (int l, double xi, int j, int k) const =0
	Returns the value of the radial coordinate r for a given $\xi$ and a given collocation point in $(\theta', \phi')$ in a given domain. More...

virtual void	val_lx_jk (double rr, int j, int k, const Param &par, int &l, double &xi) const =0
	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 bool	operator== (const Map &) const =0
	Comparison operator (egality) 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_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 (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, 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...

virtual const Map_af &	mp_angu (int) const =0
	Returns the "angular" mapping for the outside of domain `l_zone`. 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...

virtual double	val_r (int l, double xi, double theta, double pphi) const =0
	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 =0
	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 =0
	Computes the domain index l and the value of $\xi$ corresponding to a point given by its physical coordinates $(r, \theta, \phi)$ . 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...

virtual void	homothetie (double lambda)=0
	Sets a new radial scale. More...

virtual void	resize (int l, double lambda)=0
	Rescales the outer boundary of one domain. More...

virtual void	adapt (const Cmp &ent, const Param &par, int nbr=0)=0
	Adaptation of the mapping to a given scalar field. More...

virtual void	dsdxi (const Cmp &ci, Cmp &resu) const =0
	Computes $\partial/ \partial \xi$ of a `Cmp` . More...

virtual void	dsdxi (const Scalar &uu, Scalar &resu) const =0
	Computes $\partial/ \partial xi$ of a `Scalar` . More...

virtual void	dsdr (const Cmp &ci, Cmp &resu) const =0
	Computes $\partial/ \partial r$ of a `Cmp` . More...

virtual void	dsdr (const Scalar &uu, Scalar &resu) const =0
	Computes $\partial/ \partial r$ of a `Scalar` . More...

virtual void	srdsdt (const Cmp &ci, Cmp &resu) const =0
	Computes $1/r \partial/ \partial \theta$ of a `Cmp` . More...

virtual void	srdsdt (const Scalar &uu, Scalar &resu) const =0
	Computes $1/r \partial/ \partial \theta$ of a `Scalar` . More...

virtual void	srstdsdp (const Cmp &ci, Cmp &resu) const =0
	Computes $1/(r\sin\theta) \partial/ \partial \phi$ of a `Cmp` . More...

virtual void	srstdsdp (const Scalar &uu, Scalar &resu) const =0
	Computes $1/(r\sin\theta) \partial/ \partial \phi$ of a `Scalar` . More...

virtual void	dsdradial (const Scalar &uu, Scalar &resu) const =0
	Computes $\partial/ \partial r$ of a `Scalar` if the description is affine and $\partial/ \partial \ln r$ if it is logarithmic. More...

virtual void	dsdt (const Scalar &uu, Scalar &resu) const =0
	Computes $\partial/ \partial \theta$ of a `Scalar` . More...

virtual void	stdsdp (const Scalar &uu, Scalar &resu) const =0
	Computes $1/\sin\theta \partial/ \partial \varphi$ of a `Scalar` . More...

virtual void	laplacien (const Scalar &uu, int zec_mult_r, Scalar &lap) const =0
	Computes the Laplacian of a scalar field. More...

virtual void	laplacien (const Cmp &uu, int zec_mult_r, Cmp &lap) const =0
	Computes the Laplacian of a scalar field (`Cmp` version). More...

virtual void	lapang (const Scalar &uu, Scalar &lap) const =0
	Computes the angular Laplacian of a scalar field. More...

virtual void	primr (const Scalar &uu, Scalar &resu, bool null_infty) const =0
	Computes the radial primitive which vanishes for $r\to \infty$ . More...

virtual Tbl *	integrale (const Cmp &) const =0
	Computes the integral over all space of a `Cmp` . More...

virtual void	poisson (const Cmp &source, Param &par, Cmp &uu) const =0
	Computes the solution of a scalar Poisson equation. More...

virtual void	poisson_tau (const Cmp &source, Param &par, Cmp &uu) const =0
	Computes the solution of a scalar Poisson equationwith a Tau method. More...

virtual void	poisson_falloff (const Cmp &source, Param &par, Cmp &uu, int k_falloff) const =0

virtual void	poisson_ylm (const Cmp &source, Param &par, Cmp &pot, int nylm, double *intvec) const =0

virtual void	poisson_regular (const Cmp &source, int k_div, int nzet, double unsgam1, Param &par, Cmp &uu, Cmp &uu_regu, Cmp &uu_div, Tenseur &duu_div, Cmp &source_regu, Cmp &source_div) const =0
	Computes the solution of a scalar Poisson equation. More...

virtual void	poisson_angu (const Scalar &source, Param &par, Scalar &uu, double lambda=0) const =0
	Computes the solution of the generalized angular Poisson equation. More...

virtual void	poisson_angu (const Cmp &source, Param &par, Cmp &uu, double lambda=0) const =0

virtual Param *	donne_para_poisson_vect (Param &para, int i) const =0
	Function intended to be used by `Map::poisson_vect` and `Map::poisson_vect_oohara` . More...

virtual void	poisson_frontiere (const Cmp &source, const Valeur &limite, int raccord, int num_front, Cmp &pot, double=0., double=0.) const =0
	Computes the solution of a Poisson equation from the domain `num_front+1` . More...

virtual void	poisson_frontiere_double (const Cmp &source, const Valeur &lim_func, const Valeur &lim_der, int num_zone, Cmp &pot) const =0

virtual void	poisson_interne (const Cmp &source, const Valeur &limite, Param &par, Cmp &pot) const =0
	Computes the solution of a Poisson equation in the shell, imposing a boundary condition at the surface of the star. More...

virtual void	poisson2d (const Cmp &source_mat, const Cmp &source_quad, Param &par, Cmp &uu) const =0
	Computes the solution of a 2-D Poisson equation. More...

virtual void	dalembert (Param &par, Scalar &fJp1, const Scalar &fJ, const Scalar &fJm1, const Scalar &source) const =0
	Performs one time-step integration of the d'Alembert scalar equation. More...

Public Attributes
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
	Map_radial (const Mg3d &mgrid)
	Constructor from a grid (protected to make `Map_radial` an abstract class) More...

	Map_radial (const Map_radial &mp)
	Copy constructor. More...

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

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...

Detailed Description

Base class for pure radial mappings.

()

A pure radial mapping is a mapping of the type $r=R(\xi, \theta', \phi')$ , $\theta=\theta'$ , $\phi=\phi'$ . The class Map_radial is an abstract class. Effective implementations of radial mapping are performed by the derived class Map_af and Map_et .

Definition at line 1551 of file map.h.

Constructor & Destructor Documentation

◆ Map_radial() [1/3]

Lorene::Map_radial::Map_radial ( const Mg3d & mgrid )

protected

Constructor from a grid (protected to make Map_radial an abstract class)

Definition at line 92 of file map_radial.C.

◆ Map_radial() [2/3]

Lorene::Map_radial::Map_radial ( const Map_radial & mp )

protected

Copy constructor.

Definition at line 99 of file map_radial.C.

◆ Map_radial() [3/3]

Lorene::Map_radial::Map_radial	(	const Mg3d &	mgi,
		FILE *	fd
	)

protected

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

Definition at line 106 of file map_radial.C.

◆ ~Map_radial()

Lorene::Map_radial::~Map_radial ( )

virtual

Destructor.

Definition at line 113 of file map_radial.C.

Member Function Documentation

◆ adapt()

virtual void Lorene::Map::adapt	(	const Cmp &	ent,
		const Param &	par,
		int	nbr = `0`
	)

pure virtualinherited

Adaptation of the mapping to a given scalar field.

This is a virtual function: see the actual implementations in the derived classes for the meaning of the various parameters.

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ 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 819 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

virtual

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

virtual

Cmp version

Implements Lorene::Map.

Definition at line 179 of file map_radial_comp_rtp.C.

References 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

virtual

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

virtual

Cmp version

Implements Lorene::Map.

Definition at line 68 of file map_radial_comp_rtp.C.

References 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

virtual

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

virtual

Cmp version

Implements Lorene::Map.

Definition at line 124 of file map_radial_comp_rtp.C.

References 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

virtual

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

virtual

Cmp version

Implements Lorene::Map.

Definition at line 71 of file map_radial_comp_xyz.C.

References 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

virtual

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

virtual

Cmp version

Implements Lorene::Map.

Definition at line 129 of file map_radial_comp_xyz.C.

References 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

virtual

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

virtual

Cmp version

Implements Lorene::Map.

Definition at line 187 of file map_radial_comp_xyz.C.

References 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()

virtual void Lorene::Map::dalembert	(	Param &	par,
		Scalar &	fJp1,
		const Scalar &	fJ,
		const Scalar &	fJm1,
		const Scalar &	source
	)		const

pure virtualinherited

Performs one time-step integration of the d'Alembert scalar equation.

Parameters

par	[input/output] possible parameters to control the resolution of the wave equation. See the actual implementation in the derived class of `Map` for documentation. Note that, at least, param must contain the time step as first `double` parameter.
fJp1	[output] solution $f^{J+1}$ at time J+1 with boundary conditions of outgoing radiation (not exact!)
fJ	[input] solution at time J
fJm1	[input] solution $f^{J-1}$ at time J-1
source	[input] source $\sigma$ of the d'Alembert equation $\diamond u = \sigma$ .

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ dec2_dzpuis()

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

virtual

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

virtual

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

virtual

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

virtual

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

virtual

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

virtual

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

virtual

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

virtual

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()

virtual Param* Lorene::Map::donne_para_poisson_vect	(	Param &	para,
		int	i
	)		const

pure virtualinherited

Function intended to be used by Map::poisson_vect and Map::poisson_vect_oohara .

It constructs the sets of parameters used for each scalar Poisson equation from the one for the vectorial one.

Parameters

para	[input] : the `Param` used for the resolution of the vectorial Poisson equation : \ `para.int()` maximum number of iteration.\ `para.double(0)` relaxation parameter.\ `para.double(1)` required precision. \ `para.tenseur_mod()` source of the vectorial part at the previous step.\ `para.cmp_mod()` source of the scalar part at the previous step.
i	[input] number of the scalar Poisson equation that is being solved (values from 0 to 2 for the componants of the vectorial part and 3 for the scalar one).

Returns: the pointer on the parameter set used for solving the scalar Poisson equation labelled by i .

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ dsdr() [1/2]

virtual void Lorene::Map::dsdr	(	const Cmp &	ci,
		Cmp &	resu
	)		const

pure virtualinherited

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

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`

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ dsdr() [2/2]

virtual void Lorene::Map::dsdr	(	const Scalar &	uu,
		Scalar &	resu
	)		const

pure virtualinherited

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

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`

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ dsdradial()

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

pure virtualinherited

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`

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ dsdt()

virtual void Lorene::Map::dsdt	(	const Scalar &	uu,
		Scalar &	resu
	)		const

pure virtualinherited

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

Parameters

uu	[input] scalar field
resu	[output] derivative of `uu`

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ dsdxi() [1/2]

virtual void Lorene::Map::dsdxi	(	const Cmp &	ci,
		Cmp &	resu
	)		const

pure virtualinherited

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

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`

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ dsdxi() [2/2]

virtual void Lorene::Map::dsdxi	(	const Scalar &	uu,
		Scalar &	resu
	)		const

pure virtualinherited

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

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`

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ 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_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 803 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 795 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 777 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 780 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 782 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 784 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 787 of file map.h.

References Lorene::Map::rot_phi.

◆ homothetie()

virtual void Lorene::Map::homothetie ( double lambda )

pure virtualinherited

Sets a new radial scale.

Parameters

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

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ inc2_dzpuis()

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

virtual

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

virtual

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()

virtual Tbl* Lorene::Map::integrale ( const Cmp & ) const

pure virtualinherited

Computes the integral over all space of a Cmp .

The computed quantity is $\int u \, r^2 \sin\theta \, dr\, d\theta \, d\phi$ . The routine allocates a Tbl (size: mg->nzone ) to store the result (partial integral) in each domain and returns a pointer to it.

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ lapang()

virtual void Lorene::Map::lapang	(	const Scalar &	uu,
		Scalar &	lap
	)		const

pure virtualinherited

Computes the angular Laplacian of a scalar field.

Parameters

uu	[input] Scalar field u (represented as a `Scalar` ) the Laplacian $\Delta u$ of which is to be computed
lap	[output] Angular Laplacian of u (see documentation of `Scalar`

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ laplacien() [1/2]

virtual void Lorene::Map::laplacien	(	const Scalar &	uu,
		int	zec_mult_r,
		Scalar &	lap
	)		const

pure virtualinherited

Computes the Laplacian of a scalar field.

Parameters

uu	[input] Scalar field u (represented as a `Scalar` ) the Laplacian $\Delta u$ of which is to be computed
zec_mult_r	[input] Determines the quantity computed in the compactified external domain (CED) : \ zec_mult_r = 0 : $\Delta u$ \ zec_mult_r = 2 : $r^2 \, \Delta u$ \ zec_mult_r = 4 (default) : $r^4 \, \Delta u$
lap	[output] Laplacian of u

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ laplacien() [2/2]

virtual void Lorene::Map::laplacien	(	const Cmp &	uu,
		int	zec_mult_r,
		Cmp &	lap
	)		const

pure virtualinherited

Computes the Laplacian of a scalar field (Cmp version).

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ mp_angu()

virtual const Map_af& Lorene::Map::mp_angu ( int ) const

pure virtualinherited

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

Valid only for the class Map_af.

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ mult_cost()

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

virtual

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

virtual

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

virtual

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

virtual

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

virtual

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

virtual

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=()

virtual void Lorene::Map_radial::operator= ( const Map_af & )

pure virtual

Assignment to an affine mapping.

Implements Lorene::Map.

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ operator==()

virtual bool Lorene::Map_radial::operator== ( const Map & ) const

pure virtual

Comparison operator (egality)

Implements Lorene::Map.

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ poisson()

virtual void Lorene::Map::poisson	(	const Cmp &	source,
		Param &	par,
		Cmp &	uu
	)		const

pure virtualinherited

Computes the solution of a scalar Poisson equation.

Parameters

source	[input] source $\sigma$ of the Poisson equation $\Delta u = \sigma$ .
par	[input/output] possible parameters to control the resolution of the Poisson equation. See the actual implementation in the derived class of `Map` for documentation.
uu	[input/output] solution u with the boundary condition u =0 at spatial infinity.

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ poisson2d()

virtual void Lorene::Map::poisson2d	(	const Cmp &	source_mat,
		const Cmp &	source_quad,
		Param &	par,
		Cmp &	uu
	)		const

pure virtualinherited

Computes the solution of a 2-D Poisson equation.

The 2-D Poisson equation writes

${\partial^2 u\over\partial r^2} + {1\over r} {\partial u \over \partial r} + {1\over r^2} {\partial^2 u\over\partial \theta^2} = \sigma \ .$

Parameters

source_mat	[input] Compactly supported part of the source $\sigma$ of the 2-D Poisson equation (typically matter terms)
source_quad	[input] Non-compactly supported part of the source $\sigma$ of the 2-D Poisson equation (typically quadratic terms)
par	[input/output] possible parameters to control the resolution of the Poisson equation. See the actual implementation in the derived class of `Map` for documentation.
uu	[input/output] solution u with the boundary condition u =0 at spatial infinity.

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ poisson_angu()

virtual void Lorene::Map::poisson_angu	(	const Scalar &	source,
		Param &	par,
		Scalar &	uu,
		double	lambda = `0`
	)		const

pure virtualinherited

Computes the solution of the generalized angular Poisson equation.

The generalized angular Poisson equation is $\Delta_{\theta\varphi} u + \lambda u = \sigma$ , where $\Delta_{\theta\varphi} u := \frac{\partial^2 u} {\partial \theta^2} + \frac{1}{\tan \theta} \frac{\partial u} {\partial \theta} +\frac{1}{\sin^2 \theta}\frac{\partial^2 u} {\partial \varphi^2}$ .

Parameters

source	[input] source $\sigma$ of the equation $\Delta_{\theta\varphi} u + \lambda u = \sigma$ .
par	[input/output] possible parameters to control the resolution of the Poisson equation. See the actual implementation in the derived class of `Map` for documentation.
uu	[input/output] solution u
lambda	[input] coefficient $\lambda$ in the above equation (default value = 0)

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ 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

virtual

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

virtual

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 poisson_compact().

◆ poisson_frontiere()

virtual void Lorene::Map::poisson_frontiere	(	const Cmp &	source,
		const Valeur &	limite,
		int	raccord,
		int	num_front,
		Cmp &	pot,
		double	= `0.`,
		double	= `0.`
	)		const

pure virtualinherited

Computes the solution of a Poisson equation from the domain num_front+1 .

imposing a boundary condition at the boundary between the domains num_front and num_front+1 .

Parameters

source	[input] : source of the equation.
limite	[input] : `limite`[num_front] contains the angular function being the boudary condition.
raccord	[input] : 1 for the Dirichlet problem and 2 for the Neumann one and 3 for Dirichlet-Neumann.
num_front	[input] : index of the boudary at which the boundary condition has to be imposed.
pot	[output] : result.
fact_dir	[input] : Valeur by which we multiply the quantity we solve. (in the case of Dirichlet-Neumann boundary condition.)
fact_neu	[input] : Valeur by which we multiply the radial derivative of the quantity we solve. (in the case of Dirichlet-Neumann boundary condition.)

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ poisson_interne()

virtual void Lorene::Map::poisson_interne	(	const Cmp &	source,
		const Valeur &	limite,
		Param &	par,
		Cmp &	pot
	)		const

pure virtualinherited

Computes the solution of a Poisson equation in the shell, imposing a boundary condition at the surface of the star.

Parameters

source	[input] : source of the equation.
limite	[input] : `limite`[num_front] contains the angular function being the boudary condition.
par	[input] : parameters of the computation.
pot	[output] : result.

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ poisson_regular()

virtual void Lorene::Map::poisson_regular	(	const Cmp &	source,
		int	k_div,
		int	nzet,
		double	unsgam1,
		Param &	par,
		Cmp &	uu,
		Cmp &	uu_regu,
		Cmp &	uu_div,
		Tenseur &	duu_div,
		Cmp &	source_regu,
		Cmp &	source_div
	)		const

pure virtualinherited

Computes the solution of a scalar Poisson equation.

The regularized source

Parameters

source	[input] source $\sigma$ of the Poisson equation $\Delta u = \sigma$ .
k_div	[input] regularization degree of the procedure
nzet	[input] number of domains covering the star
unsgam1	[input] parameter $1/(\gamma-1)$ where $\gamma$ denotes the adiabatic index.
par	[input/output] possible parameters to control the resolution of the Poisson equation. See the actual implementation in the derived class of `Map` for documentation.
uu	[input/output] solution u with the boundary condition u =0 at spatial infinity.
uu_regu	[output] solution of the regular part of the source.
uu_div	[output] solution of the diverging part of the source.
duu_div	[output] derivative of the diverging potential
source_regu	[output] regularized source
source_div	[output] diverging part of the source

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ poisson_tau()

virtual void Lorene::Map::poisson_tau	(	const Cmp &	source,
		Param &	par,
		Cmp &	uu
	)		const

pure virtualinherited

Computes the solution of a scalar Poisson equationwith a Tau method.

Parameters

source	[input] source $\sigma$ of the Poisson equation $\Delta u = \sigma$ .
par	[input/output] possible parameters to control the resolution of the Poisson equation. See the actual implementation in the derived class of `Map` for documentation.
uu	[input/output] solution u with the boundary condition u =0 at spatial infinity.

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ primr()

virtual void Lorene::Map::primr	(	const Scalar &	uu,
		Scalar &	resu,
		bool	null_infty
	)		const

pure virtualinherited

Computes the radial primitive which vanishes for $r\to \infty$ .

i.e. the function $F(r,\theta,\varphi) = \int_r^\infty f(r',\theta,\varphi) \, dr'$

Parameters

uu	[input] function f (must have a `dzpuis` = 2)
resu	[input] function F
null_infty	if true (default), the primitive is null at infinity (or on the grid boundary). F is null at the center otherwise

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ reevaluate() [1/2]

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

virtual

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

virtual

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

virtual

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

virtual

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 ( )

protectedvirtual

Resets all the member Coords.

Reimplemented from Lorene::Map.

Reimplemented in Lorene::Map_et.

Definition at line 129 of file map_radial.C.

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

◆ resize()

virtual void Lorene::Map::resize	(	int	l,
		double	lambda
	)

pure virtualinherited

Rescales the outer boundary of one domain.

The inner boundary is unchanged. The inner boundary of the next domain is changed to match the new outer boundary.

Parameters

l	[input] index of the domain
lambda	[input] factor by which the value of $R(\theta, \varphi)$ defining the outer boundary of the domain is to be multiplied.

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ sauve()

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

virtual

Save in a file.

Reimplemented from Lorene::Map.

Reimplemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

Definition at line 119 of file map_radial.C.

References Lorene::Map::sauve().

◆ 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().

◆ srdsdt() [1/2]

virtual void Lorene::Map::srdsdt	(	const Cmp &	ci,
		Cmp &	resu
	)		const

pure virtualinherited

Computes $1/r \partial/ \partial \theta$ of a Cmp .

Note that in the compactified external domain (CED), it computes $1/u \partial/ \partial \theta = r \partial/ \partial \theta$ .

Parameters

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

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ srdsdt() [2/2]

virtual void Lorene::Map::srdsdt	(	const Scalar &	uu,
		Scalar &	resu
	)		const

pure virtualinherited

Computes $1/r \partial/ \partial \theta$ of a Scalar .

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`

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ srstdsdp() [1/2]

virtual void Lorene::Map::srstdsdp	(	const Cmp &	ci,
		Cmp &	resu
	)		const

pure virtualinherited

Computes $1/(r\sin\theta) \partial/ \partial \phi$ of a Cmp .

Note that in the compactified external domain (CED), it computes $1/(u\sin\theta) \partial/ \partial \phi = r/\sin\theta \partial/ \partial \phi$ .

Parameters

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

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ srstdsdp() [2/2]

virtual void Lorene::Map::srstdsdp	(	const Scalar &	uu,
		Scalar &	resu
	)		const

pure virtualinherited

Computes $1/(r\sin\theta) \partial/ \partial \phi$ of a Scalar .

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`

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ stdsdp()

virtual void Lorene::Map::stdsdp	(	const Scalar &	uu,
		Scalar &	resu
	)		const

pure virtualinherited

Computes $1/\sin\theta \partial/ \partial \varphi$ of a Scalar .

Parameters

uu	[input] scalar field
resu	[output] derivative of `uu`

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ val_lx() [1/2]

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

pure virtualinherited

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 $\xi$

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ val_lx() [2/2]

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

pure virtualinherited

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

This version enables to pass some parameters to control the accuracy of the computation.

Parameters

rr	[input] value of r
theta	[input] value of $\theta$
pphi	[input] value of $\phi$
par	[input/output] parameters to control the accuracy of the computation
l	[output] value of the domain index
xi	[output] value of $\xi$

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ val_lx_jk()

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

pure 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	[input/output] parameters to control the accuracy of the computation
l	[output] value of the domain index
xi	[output] value of $\xi$

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ val_r()

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

pure virtualinherited

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 $r=R_l(\xi, \theta', \phi')$

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

◆ val_r_jk()

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

pure virtual

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

Implemented in Lorene::Map_eps, Lorene::Map_star, Lorene::Map_log, Lorene::Map_et, and Lorene::Map_af.

Member Data Documentation

◆ 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 709 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 701 of file map.h.

◆ cosp

Coord Lorene::Map::cosp

inherited

$\cos\phi$

Definition at line 736 of file map.h.

◆ cost

Coord Lorene::Map::cost

inherited

$\cos\theta$

Definition at line 734 of file map.h.

◆ d2rdtdx

Coord Lorene::Map_radial::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.

Definition at line 1655 of file map.h.

◆ d2rdx2

Coord Lorene::Map_radial::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.

Definition at line 1634 of file map.h.

◆ drdt

Coord Lorene::Map_radial::drdt

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

Definition at line 1583 of file map.h.

◆ dxdr

Coord Lorene::Map_radial::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.

Definition at line 1575 of file map.h.

◆ lapr_tp

Coord Lorene::Map_radial::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.

Definition at line 1646 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 688 of file map.h.

◆ ori_x

double Lorene::Map::ori_x

protectedinherited

Absolute coordinate x of the origin.

Definition at line 690 of file map.h.

◆ ori_y

double Lorene::Map::ori_y

protectedinherited

Absolute coordinate y of the origin.

Definition at line 691 of file map.h.

◆ ori_z

double Lorene::Map::ori_z

protectedinherited

Absolute coordinate z of the origin.

Definition at line 692 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 725 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 719 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 714 of file map.h.

◆ p_mp_angu

Map_af* Lorene::Map::p_mp_angu

mutableprotectedinherited

Pointer on the "angular" mapping.

Definition at line 727 of file map.h.

◆ phi

Coord Lorene::Map::phi

inherited

$\phi$ coordinate centered on the grid

Definition at line 732 of file map.h.

◆ r

Coord Lorene::Map::r

inherited

r coordinate centered on the grid

Definition at line 730 of file map.h.

◆ rot_phi

double Lorene::Map::rot_phi

protectedinherited

Angle between the x –axis and X –axis.

Definition at line 693 of file map.h.

◆ sinp

Coord Lorene::Map::sinp

inherited

$\sin\phi$

Definition at line 735 of file map.h.

◆ sint

Coord Lorene::Map::sint

inherited

$\sin\theta$

Definition at line 733 of file map.h.

◆ sr2d2rdt2

Coord Lorene::Map_radial::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.

Definition at line 1672 of file map.h.

◆ sr2drdt

Coord Lorene::Map_radial::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.

Definition at line 1615 of file map.h.

◆ sr2stdrdp

Coord Lorene::Map_radial::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.

Definition at line 1623 of file map.h.

◆ srdrdt

Coord Lorene::Map_radial::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.

Definition at line 1599 of file map.h.

◆ srstdrdp

Coord Lorene::Map_radial::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.

Definition at line 1607 of file map.h.

◆ sstd2rdpdx

Coord Lorene::Map_radial::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.

Definition at line 1663 of file map.h.

◆ stdrdp

Coord Lorene::Map_radial::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).

Definition at line 1591 of file map.h.

◆ tet

Coord Lorene::Map::tet

inherited

$\theta$ coordinate centered on the grid

Definition at line 731 of file map.h.

◆ x

Coord Lorene::Map::x

inherited

x coordinate centered on the grid

Definition at line 738 of file map.h.

◆ xa

Coord Lorene::Map::xa

inherited

Absolute x coordinate.

Definition at line 742 of file map.h.

◆ xsr

Coord Lorene::Map_radial::xsr

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

Definition at line 1564 of file map.h.

◆ y

Coord Lorene::Map::y

inherited

y coordinate centered on the grid

Definition at line 739 of file map.h.

◆ ya

Coord Lorene::Map::ya

inherited

Absolute y coordinate.

Definition at line 743 of file map.h.

◆ z

Coord Lorene::Map::z

inherited

z coordinate centered on the grid

Definition at line 740 of file map.h.

◆ za

Coord Lorene::Map::za

inherited

Absolute z coordinate.

Definition at line 744 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

Detailed Description

Constructor & Destructor Documentation

◆ Map_radial() [1/3]

◆ Map_radial() [2/3]

◆ Map_radial() [3/3]

◆ ~Map_radial()

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_bvect_cart()

◆ get_bvect_spher()

◆ get_mg()

◆ get_ori_x()

◆ get_ori_y()

◆ get_ori_z()

◆ get_rot_phi()

◆ 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==()

◆ poisson()

◆ poisson2d()

◆ poisson_angu()

◆ poisson_compact() [1/2]

◆ poisson_compact() [2/2]

◆ poisson_frontiere()

◆ poisson_interne()

◆ poisson_regular()

◆ poisson_tau()

◆ primr()

◆ reevaluate() [1/2]

◆ reevaluate() [2/2]

◆ reevaluate_symy() [1/2]