Class for storing the basis of decompositions of a field and its values on both the configuration and coefficients spaces, in a given Domain. More...

#include <val_domain.hpp>

Inheritance diagram for Kadath::Val_domain:

Public Member Functions
	Val_domain (const Domain *so)
	Constructor from a `Domain`. More...

	Val_domain (const Val_domain &so, bool const copy=true)
	Copy constructor. More...

	Val_domain (Val_domain &&) noexcept
	Move constructor. More...

	Val_domain (const Domain so, FILE )
	Constructor from a file (generated by save). More...

	~Val_domain ()
	Destructor. More...

void	save (FILE *) const
	Saving on a file. More...

const Domain *	get_domain () const

void	swap (Val_domain &so) noexcept
	Swaps the content with the source. More...

void	operator= (const Val_domain &)
	Assignement to another `Val_domain`. More...

Val_domain &	operator= (Val_domain &&) noexcept
	Move assignment operator. More...

void	operator= (double)
	Assignement to a `double` , in the configuration space. More...

void	annule_hard ()
	Sets all the arrays to zero (the logical state is NOT set to zero). More...

void	annule_hard_coef ()
	Sets all the arrays to zero in the coefficient space (the logical state is NOT set to zero). More...

const Base_spectral &	get_base () const
	Returns the basis of decomposition. More...

Base_spectral &	set_base ()
	Sets the basis of decomposition. More...

Array< double >	get_conf () const

Array< double >	get_coef () const

void	set_zero ()
	Sets the `Val_domain` to zero (logical state to zero and arrays destroyed). More...

bool	check_if_zero () const
	Check whether the logical state is zero or not. More...

void	set_in_conf ()
	Destroys the values in the coefficient space. More...

void	set_in_coef ()
	Destroys the values in the configuration space. More...

void	allocate_conf ()
	Allocates the values in the configuration space and destroys the values in the coefficients space. More...

void	allocate_coef ()
	Allocates the values in the coefficient space and destroys the values in the configuration space. More...

void	std_base ()
	Sets the standard basis of decomposition. More...

void	std_anti_base ()
	Sets the standard, anti-symetric, basis of decomposition. More...

void	std_base (int m)
	Sets the standard basis of decomposition. More...

void	std_anti_base (int m)
	Sets the standard, anti-symetric, basis of decomposition. More...

void	std_base_r_spher ()
	Sets the basis for the radial component of a vector in orthonormal spherical coordinates. More...

void	std_base_t_spher ()
	Sets the basis for the $\theta$ component of a vector in orthonormal spherical coordinates. More...

void	std_base_p_spher ()
	Sets the basis for the $\varphi$ component of a vector in orthonormal spherical coordinates. More...

void	std_base_x_cart ()
	Sets the basis for the X-component of a vector in Cartesian coordinates. More...

void	std_base_y_cart ()
	Sets the basis for the Y-component of a vector in Cartesian coordinates. More...

void	std_base_z_cart ()
	Sets the basis for the Z-component of a vector in Cartesian coordinates. More...

void	std_r_base ()
	Sets the basis for the radius. More...

void	std_base_rt_spher ()
	Sets the basis for the $(r,\theta)$ component of a 2-tensor in orthonormal spherical coordinates. More...

void	std_base_rp_spher ()
	Sets the basis for the $(r,\varphi)$ component of a 2-tensor in orthonormal spherical coordinates. More...

void	std_base_tp_spher ()
	Sets the basis for the $(\theta, \varphi)$ component of a 2-tensor in orthonormal spherical coordinates. More...

void	std_base_xy_cart ()
	Sets the basis for the XY component of a 2-tensor in Cartesian coordinates. More...

void	std_base_xz_cart ()
	Sets the basis for the XZ component of a 2-tensor in Cartesian coordinates. More...

void	std_base_yz_cart ()
	Sets the basis for the YZ component of a 2-tensor in Cartesian coordinates. More...

void	std_xodd_base ()
	Sets the basis for an odd function in (Critic case). More...

void	std_todd_base ()
	Sets the basis for an odd function in (Critic case). More...

void	std_xodd_todd_base ()
	Sets the basis for an odd function in and (Critic case). More...

void	std_base_odd ()
	Sets the basis in odd polynomials. More...

void	std_base_r_mtz ()
	Sets the basis for the radial component of a vector in orthonormal coordinates in the MTZ context. More...

void	std_base_t_mtz ()
	Sets the basis for the $\theta$ component of a vector in orthonormal coordinates in the MTZ context. More...

void	std_base_p_mtz ()
	Sets the basis for the $\varphi$ component of a vector in orthonormal coordinates in the MTZ context. More...

double &	set (const Index &pos)
	Read/write the value of the field in the configuration space. More...

double &	set_coef (const Index &pos)
	Read/write the value of the field in the coefficient space. More...

double	get_coef (const Index &pos) const
	Read only value of the field in the coefficient space. More...

double	operator() (const Index &pos) const
	Read only value of the field in the configuration space. More...

void	coef () const
	Computes the coefficients. More...

void	coef_i () const
	Computes the values in the configuration space. More...

Val_domain	der_var (int i) const
	Computes the derivative with respect to a numerical coordinate. More...

Val_domain	der_abs (int i) const
	Computes the derivative with respect to an absolute coordinate (typically Cartesian). More...

Val_domain	der_spher (int i) const
	Computes the derivative with respect to the spherical coordinates (if defined). More...

Val_domain	der_r () const

Val_domain	der_t () const

Val_domain	der_p () const

Val_domain	mult_sin_theta () const
	Multiplication by $\sin \theta$ . More...

Val_domain	mult_cos_theta () const
	Multiplication by $\cos \theta$ . More...

Val_domain	mult_sin_phi () const
	Multiplication by $\sin \varphi$ . More...

Val_domain	mult_cos_phi () const
	Multiplication by $\cos \varphi$ . More...

Val_domain	div_sin_theta () const
	Division by $\sin \theta$ . More...

Val_domain	div_cos_theta () const
	Division by $\cos \theta$ . More...

Val_domain	div_x () const
	Division by . More...

Val_domain	div_xm1 () const
	Division by . More...

Val_domain	div_xp1 () const
	Division by . More...

Val_domain	mult_xm1 () const
	Multiplication by . More...

Val_domain	div_1mx2 () const
	Division by . More...

Val_domain	div_1mrsL () const
	Division by . More...

Val_domain	div_sin_chi () const
	Division by $\sin \chi$ . More...

Val_domain	div_chi () const
	Division by $\chi^\star$ . More...

Val_domain	div_r () const
	Division by the radius. More...

Val_domain	mult_r () const
	Multiplication by the radius. More...

Val_domain	der_r_rtwo () const

Val_domain	mult_cos_time () const

Val_domain	mult_sin_time () const

double	integrale () const

double	integ_volume () const

void	operator+= (const Val_domain &)
	Operator +=. More...

void	operator-= (const Val_domain &)
	Operator -=. More...

void	operator*= (const Val_domain &)
	Operator *=. More...

void	operator/= (const Val_domain &)
	Operator /=. More...

void	operator+= (double)
	Operator +=. More...

void	operator-= (double)
	Operator -=. More...

void	operator*= (double)
	Operator *=. More...

void	operator/= (double)
	Operator /=. More...

Protected Attributes
const Domain *	zone
	Pointer to the associated `Domain`. More...

Base_spectral	base
	Spectral basis of the field. More...

bool	is_zero
	Indicator used for null fields (for speed issues). More...

Array< double > *	c
	Pointer on the `Array` of the values in the configuration space. More...

Array< double > *	cf
	Pointer on the `Array` of the values in the coefficients space. More...

bool	in_conf
	Is the field known in the configuration space ? More...

bool	in_coef
	Is the field known in the coefficient space ? More...

Memory_mapped_array< Val_domain * >	p_der_var
	Pointers on the derivatives of the field with respect to the numerical coordinates. More...

Memory_mapped_array< Val_domain * >	p_der_abs
	Pointers on the derivatives of the field with respect to the absolute Cartesian coordinates. More...

Private Member Functions
void	del_deriv () const
	Delete the derived quantities. More...

void	compute_der_var () const
	Computes the derivatives with respect to the numerical coordinates. More...

void	compute_der_abs () const
	Computes the derivatives with respect to the absolute Cartesian coordinates. More...

Friends
class	Space

class	Space_spheric

class	Scalar

class	Domain_nucleus

class	Domain_shell

class	Domain_shell_log

class	Domain_shell_surr

class	Domain_compact

class	Domain_bispheric_rect

class	Domain_bispheric_chi_first

class	Domain_bispheric_eta_first

class	Domain_critic_inner

class	Domain_critic_outer

class	Domain_polar_nucleus

class	Domain_polar_shell

class	Domain_polar_shell_inner_adapted

class	Domain_polar_shell_outer_adapted

class	Domain_polar_compact

class	Domain_oned_ori

class	Domain_oned_qcq

class	Domain_oned_inf

class	Domain_spheric_periodic_nucleus

class	Domain_spheric_periodic_shell

class	Domain_spheric_periodic_compact

class	Domain_spheric_time_nucleus

class	Domain_spheric_time_shell

class	Domain_spheric_time_compact

class	Domain_shell_outer_adapted

class	Domain_shell_inner_adapted

class	Domain_shell_inner_homothetic

class	Domain_shell_outer_homothetic

class	Domain_nucleus_symphi

class	Domain_shell_symphi

class	Domain_compact_symphi

class	Domain_polar_periodic_nucleus

class	Domain_polar_periodic_shell

class	Domain_fourD_periodic_nucleus

class	Domain_fourD_periodic_shell

class	Eq_matching_non_std

ostream &	operator<< (ostream &, const Val_domain &)
	Output operator. More...

Val_domain	sin (const Val_domain &)
	Sine operator. More...

Val_domain	cos (const Val_domain &)
	Cosine operator. More...

Val_domain	sinh (const Val_domain &)
	Hyperbolic sine operator. More...

Val_domain	cosh (const Val_domain &)
	Hyperbolic cosine operator. More...

Val_domain	operator+ (const Val_domain &)
	Operator + (unitary version) More...

Val_domain	operator- (const Val_domain &)
	Operator - (unitary version) More...

Val_domain	operator+ (const Val_domain &, const Val_domain &)
	Operator +. More...

Val_domain	operator+ (const Val_domain &, double)
	Operator +. More...

Val_domain	operator+ (double, const Val_domain &)
	Operator +. More...

Val_domain	operator- (const Val_domain &, const Val_domain &)
	Operator -. More...

Val_domain	operator- (const Val_domain &, double)
	Operator -. More...

Val_domain	operator- (double, const Val_domain &)
	Operator -. More...

Val_domain	operator* (const Val_domain &, const Val_domain &)
	Operator *. More...

Val_domain	operator* (const Val_domain &, double)
	Operator *. More...

Val_domain	operator* (double, const Val_domain &)
	Operator *. More...

Val_domain	operator* (const Val_domain &, int)
	Operator *. More...

Val_domain	operator* (int, const Val_domain &)
	Operator *. More...

Val_domain	operator* (const Val_domain &, long int)
	Operator *. More...

Val_domain	operator* (long int, const Val_domain &)
	Operator *. More...

Val_domain	operator/ (const Val_domain &, const Val_domain &)
	Operator /. More...

Val_domain	operator/ (const Val_domain &, double)
	Operator /. More...

Val_domain	operator/ (double, const Val_domain &)
	Operator /. More...

Val_domain	pow (const Val_domain &, int)
	Operator power (integer version) More...

Val_domain	pow (const Val_domain &, double)
	Operator power (double version) More...

Val_domain	sqrt (const Val_domain &)
	Operator square root. More...

Val_domain	exp (const Val_domain &)
	Operator exponential. More...

Val_domain	log (const Val_domain &)
	Operator logarithm. More...

Val_domain	atanh (const Val_domain &)
	Operator atanh. More...

Val_domain	bessel_jl (const Val_domain &, int)
	Operator Bessel function. More...

Val_domain	bessel_yl (const Val_domain &, int)
	Operator Bessel function. More...

Val_domain	atan (const Val_domain &)
	Operator arctangent. More...

double	diffmax (const Val_domain &, const Val_domain &)
	Maximal difference. More...

double	maxval (const Val_domain &)
	Maximal value. More...

Detailed Description

Class for storing the basis of decompositions of a field and its values on both the configuration and coefficients spaces, in a given Domain.

Definition at line 69 of file val_domain.hpp.

Constructor & Destructor Documentation

◆ Val_domain() [1/4]

Kadath::Val_domain::Val_domain ( const Domain * so )

Constructor from a Domain.

Nothing is initialized otherwise.

Parameters

so	[input] : pointer on the `Domain`.

Definition at line 23 of file val_domain.cpp.

References Kadath::Domain::get_ndim(), p_der_abs, p_der_var, and zone.

◆ Val_domain() [2/4]

Kadath::Val_domain::Val_domain	(	const Val_domain &	so,
		bool const	copy = `true`
	)

Copy constructor.

Parameters

so	[input] : `Val_domain` to be copied.
copy	[input] : if `true` then all the `so` is copied otherwise the arrays are not initialized.

Definition at line 33 of file val_domain.cpp.

References c, cf, Kadath::Domain::get_ndim(), p_der_abs, p_der_var, Val_domain(), and zone.

◆ Val_domain() [3/4]

Kadath::Val_domain::Val_domain ( Val_domain && so )

noexcept

Move constructor.

Definition at line 59 of file val_domain.cpp.

◆ Val_domain() [4/4]

Kadath::Val_domain::Val_domain	(	const Domain *	so,
		FILE *	fd
	)

Constructor from a file (generated by save).

Definition at line 81 of file val_domain.cpp.

References c, cf, Kadath::Domain::get_ndim(), in_coef, in_conf, is_zero, p_der_abs, p_der_var, and zone.

◆ ~Val_domain()

Kadath::Val_domain::~Val_domain ( )

Destructor.

Definition at line 102 of file val_domain.cpp.

References c, cf, and del_deriv().

Member Function Documentation

◆ allocate_coef()

void Kadath::Val_domain::allocate_coef ( )

Allocates the values in the coefficient space and destroys the values in the configuration space.

Definition at line 216 of file val_domain.cpp.

References cf, Kadath::Domain::get_nbr_coefs(), is_zero, set_in_coef(), and zone.

◆ allocate_conf()

void Kadath::Val_domain::allocate_conf ( )

Allocates the values in the configuration space and destroys the values in the coefficients space.

Definition at line 209 of file val_domain.cpp.

References c, Kadath::Domain::get_nbr_points(), is_zero, set_in_conf(), and zone.

◆ annule_hard()

void Kadath::Val_domain::annule_hard ( )

Sets all the arrays to zero (the logical state is NOT set to zero).

Definition at line 159 of file val_domain.cpp.

References allocate_conf(), c, and del_deriv().

◆ annule_hard_coef()

void Kadath::Val_domain::annule_hard_coef ( )

Sets all the arrays to zero in the coefficient space (the logical state is NOT set to zero).

Definition at line 165 of file val_domain.cpp.

References allocate_coef(), cf, and del_deriv().

◆ check_if_zero()

bool Kadath::Val_domain::check_if_zero ( ) const

inline

Check whether the logical state is zero or not.

Definition at line 142 of file val_domain.hpp.

References is_zero.

◆ coef()

void Kadath::Val_domain::coef ( ) const

Computes the coefficients.

Definition at line 622 of file val_domain.cpp.

References base, c, cf, Kadath::Base_spectral::coef(), Kadath::Domain::get_nbr_coefs(), in_coef, in_conf, Kadath::Base_spectral::is_def(), is_zero, and zone.

◆ coef_i()

void Kadath::Val_domain::coef_i ( ) const

Computes the values in the configuration space.

Definition at line 637 of file val_domain.cpp.

References base, c, cf, Kadath::Base_spectral::coef_i(), Kadath::Domain::get_nbr_points(), in_coef, in_conf, Kadath::Base_spectral::is_def(), is_zero, and zone.

◆ compute_der_abs()

void Kadath::Val_domain::compute_der_abs ( ) const

private

Computes the derivatives with respect to the absolute Cartesian coordinates.

Definition at line 783 of file val_domain.cpp.

References compute_der_var(), Kadath::Domain::do_der_abs_from_der_var(), Kadath::Domain::get_ndim(), p_der_abs, p_der_var, and zone.

◆ compute_der_var()

void Kadath::Val_domain::compute_der_var ( ) const

private

Computes the derivatives with respect to the numerical coordinates.

Definition at line 771 of file val_domain.cpp.

References base, cf, coef(), Kadath::Domain::get_ndim(), in_coef, Kadath::Base_spectral::ope_1d(), p_der_var, and zone.

◆ del_deriv()

void Kadath::Val_domain::del_deriv ( ) const

private

Delete the derived quantities.

Definition at line 124 of file val_domain.cpp.

References p_der_abs, and p_der_var.

◆ der_abs()

Val_domain Kadath::Val_domain::der_abs ( int i ) const

Computes the derivative with respect to an absolute coordinate (typically Cartesian).

Parameters

i	[input] : the coordinate index.

Returns: : the result, in the coefficient space.

Definition at line 681 of file val_domain.cpp.

References compute_der_abs(), get_domain(), is_zero, and p_der_abs.

◆ der_p()

Val_domain Kadath::Val_domain::der_p ( ) const

Returns: the derivative wrt $\varphi$ .

Definition at line 734 of file val_domain.cpp.

References Kadath::Domain::der_p(), and zone.

◆ der_r()

Val_domain Kadath::Val_domain::der_r ( ) const

Returns: the radial derivative

Definition at line 726 of file val_domain.cpp.

References Kadath::Domain::der_r(), and zone.

◆ der_r_rtwo()

Val_domain Kadath::Val_domain::der_r_rtwo ( ) const

Returns: the radial derivative multiplied by (defined in a compactified domain).

Definition at line 739 of file val_domain.cpp.

References Kadath::Domain::der_r_rtwo(), and zone.

◆ der_spher()

Val_domain Kadath::Val_domain::der_spher ( int i ) const

Computes the derivative with respect to the spherical coordinates (if defined).

Parameters

i	[input] : the coordinate index.

Returns: : the result, in the coefficient space.

Definition at line 699 of file val_domain.cpp.

References der_p(), der_r(), der_t(), is_zero, and zone.

◆ der_t()

Val_domain Kadath::Val_domain::der_t ( ) const

Returns: the derivative wrt $\theta$ .

Definition at line 730 of file val_domain.cpp.

References Kadath::Domain::der_t(), and zone.

◆ der_var()

Val_domain Kadath::Val_domain::der_var ( int i ) const

Computes the derivative with respect to a numerical coordinate.

Parameters

i	[input] : the coordinate index.

Returns: : the result, in the coefficient space.

Definition at line 670 of file val_domain.cpp.

References compute_der_var(), is_zero, and p_der_var.

◆ div_1mrsL()

Val_domain Kadath::Val_domain::div_1mrsL ( ) const

Division by .

Definition at line 92 of file val_domain_ope.cpp.

References Kadath::Domain::div_1mrsL(), is_zero, and zone.

◆ div_1mx2()

Val_domain Kadath::Val_domain::div_1mx2 ( ) const

Division by .

Definition at line 85 of file val_domain_ope.cpp.

References Kadath::Domain::div_1mx2(), is_zero, and zone.

◆ div_chi()

Val_domain Kadath::Val_domain::div_chi ( ) const

Division by $\chi^\star$ .

Definition at line 71 of file val_domain_ope.cpp.

References Kadath::Domain::div_chi(), is_zero, and zone.

◆ div_cos_theta()

Val_domain Kadath::Val_domain::div_cos_theta ( ) const

Division by $\cos \theta$ .

Definition at line 57 of file val_domain_ope.cpp.

References Kadath::Domain::div_cos_theta(), is_zero, and zone.

◆ div_r()

Val_domain Kadath::Val_domain::div_r ( ) const

Division by the radius.

Definition at line 743 of file val_domain.cpp.

References Kadath::Domain::div_r(), is_zero, and zone.

◆ div_sin_chi()

Val_domain Kadath::Val_domain::div_sin_chi ( ) const

Division by $\sin \chi$ .

Definition at line 113 of file val_domain_ope.cpp.

References Kadath::Domain::div_sin_chi(), is_zero, and zone.

◆ div_sin_theta()

Val_domain Kadath::Val_domain::div_sin_theta ( ) const

Division by $\sin \theta$ .

Definition at line 50 of file val_domain_ope.cpp.

References Kadath::Domain::div_sin_theta(), is_zero, and zone.

◆ div_x()

Val_domain Kadath::Val_domain::div_x ( ) const

Division by .

Definition at line 64 of file val_domain_ope.cpp.

References Kadath::Domain::div_x(), is_zero, and zone.

◆ div_xm1()

Val_domain Kadath::Val_domain::div_xm1 ( ) const

Division by .

Definition at line 78 of file val_domain_ope.cpp.

References Kadath::Domain::div_xm1(), is_zero, and zone.

◆ div_xp1()

Val_domain Kadath::Val_domain::div_xp1 ( ) const

Division by .

Definition at line 99 of file val_domain_ope.cpp.

References Kadath::Domain::div_xp1(), is_zero, and zone.

◆ get_base()

const Base_spectral& Kadath::Val_domain::get_base ( ) const

inline

Returns the basis of decomposition.

Definition at line 122 of file val_domain.hpp.

References base.

◆ get_coef() [1/2]

Array<double> Kadath::Val_domain::get_coef ( ) const

inline

Returns: the values in the coefficient space.

Definition at line 136 of file val_domain.hpp.

References cf.

◆ get_coef() [2/2]

double Kadath::Val_domain::get_coef ( const Index & pos ) const

Read only value of the field in the coefficient space.

Parameters

pos	[input] : coefficient concerned.

Definition at line 183 of file val_domain.cpp.

References cf, in_coef, is_zero, and Kadath::Array< T >::set().

◆ get_conf()

Array<double> Kadath::Val_domain::get_conf ( ) const

inline

Returns: the values in the configuration space.

Definition at line 131 of file val_domain.hpp.

References c.

◆ get_domain()

const Domain* Kadath::Val_domain::get_domain ( ) const

inline

Returns: a pointer on the Domain.

Definition at line 111 of file val_domain.hpp.

References zone.

◆ integ_volume()

double Kadath::Val_domain::integ_volume ( ) const

Returns: integral in the whole domain.

Definition at line 763 of file val_domain.cpp.

References Kadath::Domain::integ_volume(), is_zero, and zone.

◆ integrale()

double Kadath::Val_domain::integrale ( ) const

Returns: integral in the whole domain.

Definition at line 756 of file val_domain.cpp.

References Kadath::Domain::integrale(), is_zero, and zone.

◆ mult_cos_phi()

Val_domain Kadath::Val_domain::mult_cos_phi ( ) const

Multiplication by $\cos \varphi$ .

Definition at line 22 of file val_domain_ope.cpp.

References is_zero, Kadath::Domain::mult_cos_phi(), and zone.

◆ mult_cos_theta()

Val_domain Kadath::Val_domain::mult_cos_theta ( ) const

Multiplication by $\cos \theta$ .

Definition at line 36 of file val_domain_ope.cpp.

References is_zero, Kadath::Domain::mult_cos_theta(), and zone.

◆ mult_cos_time()

Val_domain Kadath::Val_domain::mult_cos_time ( ) const

Returns: the multiplication by $\cos \omega t$ .

Definition at line 120 of file val_domain_ope.cpp.

References is_zero, Kadath::Domain::mult_cos_time(), and zone.

◆ mult_r()

Val_domain Kadath::Val_domain::mult_r ( ) const

Multiplication by the radius.

Definition at line 750 of file val_domain.cpp.

References is_zero, Kadath::Domain::mult_r(), and zone.

◆ mult_sin_phi()

Val_domain Kadath::Val_domain::mult_sin_phi ( ) const

Multiplication by $\sin \varphi$ .

Definition at line 29 of file val_domain_ope.cpp.

References is_zero, Kadath::Domain::mult_sin_phi(), and zone.

◆ mult_sin_theta()

Val_domain Kadath::Val_domain::mult_sin_theta ( ) const

Multiplication by $\sin \theta$ .

Definition at line 43 of file val_domain_ope.cpp.

References is_zero, Kadath::Domain::mult_sin_theta(), and zone.

◆ mult_sin_time()

Val_domain Kadath::Val_domain::mult_sin_time ( ) const

Returns: the multiplication by $\sin \omega t$ .

Definition at line 127 of file val_domain_ope.cpp.

References is_zero, Kadath::Domain::mult_sin_time(), and zone.

◆ mult_xm1()

Val_domain Kadath::Val_domain::mult_xm1 ( ) const

Multiplication by .

Definition at line 106 of file val_domain_ope.cpp.

References is_zero, Kadath::Domain::mult_xm1(), and zone.

◆ operator()()

double Kadath::Val_domain::operator() ( const Index & pos ) const

Read only value of the field in the configuration space.

Parameters

pos	[input] : point concerned.

Definition at line 192 of file val_domain.cpp.

References c, and coef_i().

◆ operator*=() [1/2]

void Kadath::Val_domain::operator*= ( const Val_domain & so )

Operator *=.

Definition at line 34 of file val_domain_math.cpp.

◆ operator*=() [2/2]

void Kadath::Val_domain::operator*= ( double xx )

Operator *=.

Definition at line 51 of file val_domain_math.cpp.

◆ operator+=() [1/2]

void Kadath::Val_domain::operator+= ( const Val_domain & so )

Operator +=.

Definition at line 26 of file val_domain_math.cpp.

◆ operator+=() [2/2]

void Kadath::Val_domain::operator+= ( double xx )

Operator +=.

Definition at line 42 of file val_domain_math.cpp.

◆ operator-=() [1/2]

void Kadath::Val_domain::operator-= ( const Val_domain & so )

Operator -=.

Definition at line 30 of file val_domain_math.cpp.

◆ operator-=() [2/2]

void Kadath::Val_domain::operator-= ( double xx )

Operator -=.

Definition at line 46 of file val_domain_math.cpp.

◆ operator/=() [1/2]

void Kadath::Val_domain::operator/= ( const Val_domain & so )

Operator /=.

Definition at line 38 of file val_domain_math.cpp.

◆ operator/=() [2/2]

void Kadath::Val_domain::operator/= ( double xx )

Operator /=.

Definition at line 56 of file val_domain_math.cpp.

◆ operator=() [1/3]

void Kadath::Val_domain::operator= ( const Val_domain & so )

Assignement to another Val_domain.

Definition at line 130 of file val_domain.cpp.

References base, c, cf, del_deriv(), Kadath::Domain::get_ndim(), in_coef, in_conf, Kadath::Base_spectral::is_def(), is_zero, p_der_abs, p_der_var, Kadath::Base_spectral::set_non_def(), Val_domain(), and zone.

◆ operator=() [2/3]

void Kadath::Val_domain::operator= ( double xx )

Assignement to a double , in the configuration space.

Definition at line 148 of file val_domain.cpp.

References allocate_conf(), c, del_deriv(), is_zero, and set_zero().

◆ operator=() [3/3]

Val_domain & Kadath::Val_domain::operator= ( Val_domain && so )

noexcept

Move assignment operator.

Definition at line 67 of file val_domain.cpp.

◆ save()

void Kadath::Val_domain::save ( FILE * fd ) const

Saving on a file.

Definition at line 110 of file val_domain.cpp.

References base, c, cf, in_coef, in_conf, is_zero, Kadath::Base_spectral::save(), and Kadath::Array< T >::save().

◆ set()

double & Kadath::Val_domain::set ( const Index & pos )

Read/write the value of the field in the configuration space.

The coefficients are destroyed.

Parameters

pos	[input] : point concerned.

Definition at line 171 of file val_domain.cpp.

References c, del_deriv(), Kadath::Array< T >::set(), and set_in_conf().

◆ set_base()

Base_spectral& Kadath::Val_domain::set_base ( )

inline

Sets the basis of decomposition.

Definition at line 126 of file val_domain.hpp.

References base.

◆ set_coef()

double & Kadath::Val_domain::set_coef ( const Index & pos )

Read/write the value of the field in the coefficient space.

The values at collocation points are destroyed.

Parameters

pos	[input] : coefficient concerned.

Definition at line 177 of file val_domain.cpp.

References cf, del_deriv(), Kadath::Array< T >::set(), and set_in_coef().

◆ set_in_coef()

void Kadath::Val_domain::set_in_coef ( )

Destroys the values in the configuration space.

Definition at line 203 of file val_domain.cpp.

References c, in_coef, and in_conf.

◆ set_in_conf()

void Kadath::Val_domain::set_in_conf ( )

Destroys the values in the coefficient space.

Definition at line 197 of file val_domain.cpp.

References cf, in_coef, and in_conf.

◆ set_zero()

void Kadath::Val_domain::set_zero ( )

Sets the Val_domain to zero (logical state to zero and arrays destroyed).

Definition at line 223 of file val_domain.cpp.

References base, c, cf, del_deriv(), in_coef, in_conf, is_zero, and Kadath::Base_spectral::set_non_def().

◆ std_anti_base() [1/2]

void Kadath::Val_domain::std_anti_base ( )

Sets the standard, anti-symetric, basis of decomposition.

Definition at line 279 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_anti_cheb_base(), Kadath::Domain::set_anti_legendre_base(), and zone.

◆ std_anti_base() [2/2]

void Kadath::Val_domain::std_anti_base ( int m )

Sets the standard, anti-symetric, basis of decomposition.

Definition at line 312 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_anti_cheb_base_with_m(), Kadath::Domain::set_anti_legendre_base_with_m(), and zone.

◆ std_base() [1/2]

void Kadath::Val_domain::std_base ( )

Sets the standard basis of decomposition.

Definition at line 246 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base(), Kadath::Domain::set_legendre_base(), and zone.

◆ std_base() [2/2]

void Kadath::Val_domain::std_base ( int m )

Sets the standard basis of decomposition.

Definition at line 295 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_with_m(), Kadath::Domain::set_legendre_base_with_m(), and zone.

◆ std_base_odd()

void Kadath::Val_domain::std_base_odd ( )

Sets the basis in odd polynomials.

Definition at line 605 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_odd(), Kadath::Domain::set_legendre_base_odd(), and zone.

◆ std_base_p_mtz()

void Kadath::Val_domain::std_base_p_mtz ( )

Sets the basis for the $\varphi$ component of a vector in orthonormal coordinates in the MTZ context.

Definition at line 540 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_p_mtz(), Kadath::Domain::set_legendre_base_p_mtz(), and zone.

◆ std_base_p_spher()

void Kadath::Val_domain::std_base_p_spher ( )

Sets the basis for the $\varphi$ component of a vector in orthonormal spherical coordinates.

Definition at line 444 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_p_spher(), Kadath::Domain::set_legendre_base_p_spher(), and zone.

◆ std_base_r_mtz()

void Kadath::Val_domain::std_base_r_mtz ( )

Sets the basis for the radial component of a vector in orthonormal coordinates in the MTZ context.

Definition at line 508 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_r_mtz(), Kadath::Domain::set_legendre_base_r_mtz(), and zone.

◆ std_base_r_spher()

void Kadath::Val_domain::std_base_r_spher ( )

Sets the basis for the radial component of a vector in orthonormal spherical coordinates.

Definition at line 412 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_r_spher(), Kadath::Domain::set_legendre_base_r_spher(), and zone.

◆ std_base_rp_spher()

void Kadath::Val_domain::std_base_rp_spher ( )

Sets the basis for the $(r,\varphi)$ component of a 2-tensor in orthonormal spherical coordinates.

Definition at line 342 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_rp_spher(), and zone.

◆ std_base_rt_spher()

void Kadath::Val_domain::std_base_rt_spher ( )

Sets the basis for the $(r,\theta)$ component of a 2-tensor in orthonormal spherical coordinates.

Definition at line 328 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_rt_spher(), and zone.

◆ std_base_t_mtz()

void Kadath::Val_domain::std_base_t_mtz ( )

Sets the basis for the $\theta$ component of a vector in orthonormal coordinates in the MTZ context.

Definition at line 524 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_t_mtz(), Kadath::Domain::set_legendre_base_t_mtz(), and zone.

◆ std_base_t_spher()

void Kadath::Val_domain::std_base_t_spher ( )

Sets the basis for the $\theta$ component of a vector in orthonormal spherical coordinates.

Definition at line 428 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_t_spher(), Kadath::Domain::set_legendre_base_t_spher(), and zone.

◆ std_base_tp_spher()

void Kadath::Val_domain::std_base_tp_spher ( )

Sets the basis for the $(\theta, \varphi)$ component of a 2-tensor in orthonormal spherical coordinates.

Definition at line 356 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_tp_spher(), and zone.

◆ std_base_x_cart()

void Kadath::Val_domain::std_base_x_cart ( )

Sets the basis for the X-component of a vector in Cartesian coordinates.

Definition at line 460 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_x_cart(), Kadath::Domain::set_legendre_base_x_cart(), and zone.

◆ std_base_xy_cart()

void Kadath::Val_domain::std_base_xy_cart ( )

Sets the basis for the XY component of a 2-tensor in Cartesian coordinates.

Definition at line 370 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_xy_cart(), and zone.

◆ std_base_xz_cart()

void Kadath::Val_domain::std_base_xz_cart ( )

Sets the basis for the XZ component of a 2-tensor in Cartesian coordinates.

Definition at line 384 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_xz_cart(), and zone.

◆ std_base_y_cart()

void Kadath::Val_domain::std_base_y_cart ( )

Sets the basis for the Y-component of a vector in Cartesian coordinates.

Definition at line 476 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_y_cart(), Kadath::Domain::set_legendre_base_y_cart(), and zone.

◆ std_base_yz_cart()

void Kadath::Val_domain::std_base_yz_cart ( )

Sets the basis for the YZ component of a 2-tensor in Cartesian coordinates.

Definition at line 398 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_yz_cart(), and zone.

◆ std_base_z_cart()

void Kadath::Val_domain::std_base_z_cart ( )

Sets the basis for the Z-component of a vector in Cartesian coordinates.

Definition at line 492 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_base_z_cart(), Kadath::Domain::set_legendre_base_z_cart(), and zone.

◆ std_r_base()

void Kadath::Val_domain::std_r_base ( )

Sets the basis for the radius.

Definition at line 262 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_r_base(), Kadath::Domain::set_legendre_r_base(), and zone.

◆ std_todd_base()

void Kadath::Val_domain::std_todd_base ( )

Sets the basis for an odd function in $T$ (Critic case).

Definition at line 573 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_todd_base(), Kadath::Domain::set_legendre_todd_base(), and zone.

◆ std_xodd_base()

void Kadath::Val_domain::std_xodd_base ( )

Sets the basis for an odd function in (Critic case).

Definition at line 557 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_xodd_base(), Kadath::Domain::set_legendre_xodd_base(), and zone.

◆ std_xodd_todd_base()

void Kadath::Val_domain::std_xodd_todd_base ( )

Sets the basis for an odd function in and $T$ (Critic case).

Definition at line 589 of file val_domain.cpp.

References base, Kadath::Domain::get_type_base(), Kadath::Domain::set_cheb_xodd_todd_base(), Kadath::Domain::set_legendre_xodd_todd_base(), and zone.

◆ swap()

void Kadath::Val_domain::swap ( Val_domain & so )

noexcept

Swaps the content with the source.

Definition at line 47 of file val_domain.cpp.

Friends And Related Function Documentation

◆ atan

Val_domain atan ( const Val_domain & so )

friend

Operator arctangent.

Definition at line 581 of file val_domain_math.cpp.

◆ atanh

Val_domain atanh ( const Val_domain & so )

friend

Operator atanh.

Definition at line 504 of file val_domain_math.cpp.

◆ bessel_jl

Val_domain bessel_jl	(	const Val_domain &	so,
		int	l
	)

friend

Operator Bessel function.

Definition at line 521 of file val_domain_math.cpp.

◆ bessel_yl

Val_domain bessel_yl	(	const Val_domain &	so,
		int	l
	)

friend

Operator Bessel function.

Definition at line 535 of file val_domain_math.cpp.

◆ cos

Val_domain cos ( const Val_domain & so )

friend

Cosine operator.

Definition at line 74 of file val_domain_math.cpp.

◆ cosh

Val_domain cosh ( const Val_domain & so )

friend

Hyperbolic cosine operator.

Definition at line 93 of file val_domain_math.cpp.

◆ diffmax

double diffmax	(	const Val_domain &	aa,
		const Val_domain &	bb
	)

friend

Maximal difference.

Definition at line 515 of file val_domain_math.cpp.

◆ exp

Val_domain exp ( const Val_domain & so )

friend

Operator exponential.

Definition at line 474 of file val_domain_math.cpp.

◆ log

Val_domain log ( const Val_domain & so )

friend

Operator logarithm.

Definition at line 493 of file val_domain_math.cpp.

◆ maxval

double maxval ( const Val_domain & target )

friend

Maximal value.

Definition at line 592 of file val_domain_math.cpp.

◆ operator* [1/7]

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

friend

Operator *.

Definition at line 300 of file val_domain_math.cpp.

◆ operator* [2/7]

Val_domain operator*	(	const Val_domain &	so,
		double	x
	)

friend

Operator *.

Definition at line 318 of file val_domain_math.cpp.

◆ operator* [3/7]

Val_domain operator*	(	const Val_domain &	so,
		int	nn
	)

friend

Operator *.

Definition at line 335 of file val_domain_math.cpp.

◆ operator* [4/7]

Val_domain operator*	(	const Val_domain &	so,
		long int	nn
	)

friend

Operator *.

Definition at line 358 of file val_domain_math.cpp.

◆ operator* [5/7]

Val_domain operator*	(	double	x,
		const Val_domain &	so
	)

friend

Operator *.

Definition at line 331 of file val_domain_math.cpp.

◆ operator* [6/7]

Val_domain operator*	(	int	nn,
		const Val_domain &	so
	)

friend

Operator *.

Definition at line 354 of file val_domain_math.cpp.

◆ operator* [7/7]

Val_domain operator*	(	long int	nn,
		const Val_domain &	so
	)

friend

Operator *.

Definition at line 377 of file val_domain_math.cpp.

◆ operator+ [1/4]

Val_domain operator+ ( const Val_domain & so )

friend

Operator + (unitary version)

Definition at line 133 of file val_domain_math.cpp.

◆ operator+ [2/4]

Val_domain operator+	(	const Val_domain &	a,
		const Val_domain &	b
	)

friend

Operator +.

Definition at line 148 of file val_domain_math.cpp.

◆ operator+ [3/4]

Val_domain operator+	(	const Val_domain &	so,
		double	x
	)

friend

Operator +.

Definition at line 195 of file val_domain_math.cpp.

◆ operator+ [4/4]

Val_domain operator+	(	double	x,
		const Val_domain &	so
	)

friend

Operator +.

Definition at line 214 of file val_domain_math.cpp.

◆ operator- [1/4]

Val_domain operator- ( const Val_domain & so )

friend

Operator - (unitary version)

Definition at line 138 of file val_domain_math.cpp.

◆ operator- [2/4]

Val_domain operator-	(	const Val_domain &	a,
		const Val_domain &	b
	)

friend

Operator -.

Definition at line 218 of file val_domain_math.cpp.

◆ operator- [3/4]

Val_domain operator-	(	const Val_domain &	so,
		double	x
	)

friend

Operator -.

Definition at line 263 of file val_domain_math.cpp.

◆ operator- [4/4]

Val_domain operator-	(	double	x,
		const Val_domain &	so
	)

friend

Operator -.

Definition at line 282 of file val_domain_math.cpp.

◆ operator/ [1/3]

Val_domain operator/	(	const Val_domain &	a,
		const Val_domain &	b
	)

friend

Operator /.

Definition at line 380 of file val_domain_math.cpp.

◆ operator/ [2/3]

Val_domain operator/	(	const Val_domain &	so,
		double	x
	)

friend

Operator /.

Definition at line 399 of file val_domain_math.cpp.

◆ operator/ [3/3]

Val_domain operator/	(	double	x,
		const Val_domain &	so
	)

friend

Operator /.

Definition at line 412 of file val_domain_math.cpp.

◆ operator<<

ostream& operator<<	(	ostream &	o,
		const Val_domain &	so
	)

friend

Output operator.

Definition at line 653 of file val_domain.cpp.

◆ pow [1/2]

Val_domain pow	(	const Val_domain &	so,
		double	nn
	)

friend

Operator power (double version)

Definition at line 448 of file val_domain_math.cpp.

◆ pow [2/2]

Val_domain pow	(	const Val_domain &	so,
		int	n
	)

friend

Operator power (integer version)

Definition at line 428 of file val_domain_math.cpp.

◆ sin

Val_domain sin ( const Val_domain & so )

friend

Sine operator.

Definition at line 61 of file val_domain_math.cpp.

◆ sinh

Val_domain sinh ( const Val_domain & so )

friend

Hyperbolic sine operator.

Definition at line 113 of file val_domain_math.cpp.

◆ sqrt

Val_domain sqrt ( const Val_domain & so )

friend

Operator square root.

Definition at line 460 of file val_domain_math.cpp.

Member Data Documentation

◆ base

Base_spectral Kadath::Val_domain::base

protected

Spectral basis of the field.

Definition at line 72 of file val_domain.hpp.

◆ c

Array<double>* Kadath::Val_domain::c

mutableprotected

Pointer on the Array of the values in the configuration space.

Definition at line 76 of file val_domain.hpp.

◆ cf

Array<double>* Kadath::Val_domain::cf

mutableprotected

Pointer on the Array of the values in the coefficients space.

Definition at line 77 of file val_domain.hpp.

◆ in_coef

bool Kadath::Val_domain::in_coef

mutableprotected

Is the field known in the coefficient space ?

Definition at line 79 of file val_domain.hpp.

◆ in_conf

bool Kadath::Val_domain::in_conf

mutableprotected

Is the field known in the configuration space ?

Definition at line 78 of file val_domain.hpp.

◆ is_zero

bool Kadath::Val_domain::is_zero

protected

Indicator used for null fields (for speed issues).

Definition at line 74 of file val_domain.hpp.

◆ p_der_abs

Memory_mapped_array<Val_domain*> Kadath::Val_domain::p_der_abs

mutableprotected

Pointers on the derivatives of the field with respect to the absolute Cartesian coordinates.

Definition at line 82 of file val_domain.hpp.

◆ p_der_var

Memory_mapped_array<Val_domain*> Kadath::Val_domain::p_der_var

mutableprotected

Pointers on the derivatives of the field with respect to the numerical coordinates.

Definition at line 81 of file val_domain.hpp.

◆ zone

const Domain* Kadath::Val_domain::zone

protected

Pointer to the associated Domain.

Definition at line 71 of file val_domain.hpp.

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

Public Member Functions

Protected Attributes

Private Member Functions

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Val_domain() [1/4]

◆ Val_domain() [2/4]

◆ Val_domain() [3/4]

◆ Val_domain() [4/4]

◆ ~Val_domain()

Member Function Documentation

◆ allocate_coef()

◆ allocate_conf()

◆ annule_hard()

◆ annule_hard_coef()

◆ check_if_zero()

◆ coef()

◆ coef_i()

◆ compute_der_abs()

◆ compute_der_var()

◆ del_deriv()

◆ der_abs()

◆ der_p()

◆ der_r()

◆ der_r_rtwo()

◆ der_spher()

◆ der_t()

◆ der_var()

◆ div_1mrsL()

◆ div_1mx2()

◆ div_chi()

◆ div_cos_theta()

◆ div_r()

◆ div_sin_chi()

◆ div_sin_theta()

◆ div_x()

◆ div_xm1()

◆ div_xp1()

◆ get_base()

◆ get_coef() [1/2]

◆ get_coef() [2/2]

◆ get_conf()

◆ get_domain()

◆ integ_volume()

◆ integrale()

◆ mult_cos_phi()

◆ mult_cos_theta()

◆ mult_cos_time()

◆ mult_r()

◆ mult_sin_phi()

◆ mult_sin_theta()

◆ mult_sin_time()

◆ mult_xm1()

◆ operator()()

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ operator=() [1/3]

◆ operator=() [2/3]

◆ operator=() [3/3]

◆ save()

◆ set()

◆ set_base()

◆ set_coef()

◆ set_in_coef()

◆ set_in_conf()

◆ set_zero()

◆ std_anti_base() [1/2]

◆ std_anti_base() [2/2]

◆ std_base() [1/2]

◆ std_base() [2/2]

◆ std_base_odd()

◆ std_base_p_mtz()

◆ std_base_p_spher()