Polynomial in n variables, n <= 4. Coefficients are stored using a DoubleTab. More...

#include <Polynome.h>

Inheritance diagram for Polynome:

Collaboration diagram for Polynome:

Public Member Functions
	Polynome (int n1)
	Constructs a polynomial in one variable of degree n1.
	Polynome (int n1, int n2)
	Constructs a polynomial in 2 variables of degrees n1 and n2.
	Polynome (int n1, int n2, int n3)
	Constructs a polynomial in 3 variables of degrees n1, n2 and n3.
	Polynome (int n1, int n2, int n3, int n4)
	Constructs a polynomial in 4 variables of degrees n1, n2, n3 and n4.
	Polynome (const DoubleTab &)
	Constructs a polynomial from its coefficient array.
int	degre (int) const
	Returns the degree of the polynomial with respect to the i-th variable.
double &	coeff (int n1)
	Returns the coefficient of the term of degree n1.
double &	coeff (int n1, int n2)
	Returns the coefficient of the term of degree (n1, n2).
double &	coeff (int n1, int n2, int n3)
	Returns the coefficient of the term of degree (n1, n2, n3).
double &	coeff (int n1, int n2, int n3, int n4)
	Returns the coefficient of the term of degree (n1, n2, n3, n4).
double	coeff (int n1) const
	Returns the coefficient of the term of degree n1 (const).
double	coeff (int n1, int n2) const
	Returns the coefficient of the term of degree (n1, n2) (const).
double	coeff (int n1, int n2, int n3) const
	Returns the coefficient of the term of degree (n1, n2, n3) (const).
double	coeff (int n1, int n2, int n3, int n4) const
	Returns the coefficient of the term of degree (n1, n2, n3, n4) (const).
double	operator() (double x1) const
	Evaluates the polynomial at point x1.
double	operator() (double x1, double x2) const
	Evaluates the polynomial at point (x1, x2).
double	operator() (double x1, double x2, double x3) const
	Evaluates the polynomial at point (x1, x2, x3).
double	operator() (double x1, double x2, double x3, double x4) const
	Evaluates the polynomial at point (x1, x2, x3, x4).
void	derive (int=0)
	Not implemented. Does nothing.
void	integre (int=0)
	Not implemented. Does nothing.
double	derive (double x1) const
	Not implemented. Returns 0.
double	derive (double x1, double x2) const
	Not implemented. Returns 0.
double	derive (double x1, double x2, double x3) const
	Not implemented. Returns 0.
double	derive (double x1, double x2, double x3, double x4) const
	Not implemented. Returns 0.
double	integre (double x1) const
	Not implemented. Returns 0.
double	integre (double x1, double x2) const
	Not implemented. Returns 0.
double	integre (double x1, double x2, double x3) const
	Not implemented. Returns 0.
double	integre (double x1, double x2, double x3, double x4) const
	Not implemented. Returns 0.
Polynome &	operator+= (const Polynome &)
	Not implemented. Does nothing. Returns *this.
Polynome &	operator-= (const Polynome &)
	Not implemented. Does nothing. Returns *this.
Polynome &	operator*= (const Polynome &)
	Not implemented. Does nothing. Returns *this.
Polynome &	operator*= (double)
	Not implemented. Does nothing. Returns *this.
Polynome &	operator/= (double)
	Not implemented. Does nothing. Returns *this.
Public Member Functions inherited from Objet_U
	~Objet_U () override
	Destructor. Removes the object from the list of objects registered in "memory".
int	numero () const
	Returns the index of the object in Memoire::data.
virtual int	duplique () const =0
virtual Sortie &	printOn (Sortie &) const
	Writes the object to an output stream. Virtual method to override.
virtual Entree &	readOn (Entree &)
	Reads an Objet_U from an input stream. Virtual method to override.
virtual unsigned	taille_memoire () const =0
virtual int	est_egal_a (const Objet_U &) const
	Returns 1 if x and *this are the same instance (same memory address).
virtual const Nom &	le_nom () const
	Returns the name of the Objet_U. Virtual method to override: returns "neant" in this implementation.
virtual void	nommer (const Nom &)
	Assigns a name to the Objet_U. Virtual method to override.
virtual int	reprendre (Entree &)
	Restores an Objet_U from an input stream. Virtual method to override.
virtual int	sauvegarder (Sortie &) const
	Saves an Objet_U to an output stream. Virtual method to override.
int	get_object_id () const
	Returns the unique identifier of the object (object_id_).
virtual const Type_info *	get_info () const
	Returns type information for the Objet_U.
const Nom &	que_suis_je () const
	Returns the string identifying the class.
const char *	le_type () const
	Returns the type name of the Objet_U.
virtual int	change_num (const int *const)
	Changes the internal number of the Objet_U.
virtual int	lire_motcle_non_standard (const Motcle &motlu, Entree &is)
	Reads non-simple-type parameters of an Objet_U from an input stream.
virtual int	associer_ (Objet_U &)
	Associates the Objet_U with another Objet_U. Virtual method to override.
const Interprete &	interprete () const
Interprete &	interprete ()
Public Member Functions inherited from Process
virtual	~Process ()

Additional Inherited Members
Static Public Member Functions inherited from Objet_U
static const Nom &	nom_du_cas ()
	Returns a constant reference to the case name. This method is static.
static Nom &	get_set_nom_du_cas ()
	Returns a non-constant reference to the case name (to allow modification). This method is static.
static const Type_info *	info ()
	Returns type information for the Objet_U (static version).
static const Objet_U &	self_cast (const Objet_U &)
	Method added for casting in Python.
static Objet_U &	self_cast (Objet_U &)
Static Public Member Functions inherited from Process
static int	me ()
	Returns the rank of the local processor in the current communication group. See Comm_Group::rank() and PE_Groups::current_group().
static int	nproc ()
	Returns the number of processors in the current group. See Comm_Group::nproc() and PE_Groups::current_group().
static bool	is_parallel ()
static void	exit (int exit_code=-1)
	Exit routine for TRUST within a Kokkos region.
static double	mp_sum (double)
	Computes the sum of x over all processors in the current group.
static float	mp_sum (float)
static trustIdType	mp_sum (trustIdType)
	Computes the sum of x over all processors in the current group.
static double	mp_max (double)
static double	mp_min (double)
static int	mp_max (int)
	Returns the maximum value of x across all processors in the current group.
static int	mp_min (int)
	Returns the minimum value of x across all processors in the current group.
static double	mp_sum_as_double (int v)
static trustIdType	mppartial_sum (trustIdType i)
	Computes the partial sum of x over processors 0 to me()-1 (returns 0 on processor 0).
template<typename T>
static void	mp_sum_for_each (T &arg1, T &arg2)
	C++14 compatible mp_sum_for_each: combine multiple mp_sum calls into one collective operation Usage: mp_sum_for_each(a, b); mp_sum_for_each(a, b, c); mp_sum_for_each(a, b, c, d); mp_sum_for_each(a, b, c, d, e); All arguments must be of the same type (double or int) and are modified in place. Supports 2-5 parameters.
template<typename T>
static void	mp_sum_for_each (T &arg1, T &arg2, T &arg3)
template<typename T>
static void	mp_sum_for_each (T &arg1, T &arg2, T &arg3, T &arg4)
template<typename T>
static void	mp_sum_for_each (T &arg1, T &arg2, T &arg3, T &arg4, T &arg5)
template<typename T>
static void	mp_max_for_each (T &arg1, T &arg2)
	C++14 compatible mp_max_for_each: combine multiple mp_max calls into one collective operation.
template<typename T>
static void	mp_max_for_each (T &arg1, T &arg2, T &arg3)
template<typename T>
static void	mp_max_for_each (T &arg1, T &arg2, T &arg3, T &arg4)
template<typename T>
static void	mp_max_for_each (T &arg1, T &arg2, T &arg3, T &arg4, T &arg5)
template<typename T>
static void	mp_min_for_each (T &arg1, T &arg2)
	C++14 compatible mp_min_for_each: combine multiple mp_min calls into one collective operation.
template<typename T>
static void	mp_min_for_each (T &arg1, T &arg2, T &arg3)
template<typename T>
static void	mp_min_for_each (T &arg1, T &arg2, T &arg3, T &arg4)
template<typename T>
static void	mp_min_for_each (T &arg1, T &arg2, T &arg3, T &arg4, T &arg5)
template<typename _TYPE_>
static void	mp_sum_for_each_item (TRUSTArray< _TYPE_ > &x, int n=-1)
template<typename _TYPE_>
static void	mp_max_for_each_item (TRUSTArray< _TYPE_ > &x, int n=-1)
template<typename _TYPE_>
static void	mp_min_for_each_item (TRUSTArray< _TYPE_ > &x, int n=-1)
static bool	mp_and (bool)
	Computes the logical AND of b across all processors in the current group.
static bool	mp_or (bool)
static int	check_int_overflow (trustIdType)
static int	je_suis_maitre ()
	Returns 1 if on the master processor of the current group (i.e. me() == 0), 0 otherwise.
static KOKKOS_INLINE_FUNCTION void	Kokkos_exit (const char *)
	Exit routine for TRUST within a Kokkos region.
static int	node_master ()
	Returns 1 if on the NUMA node master processor, 0 otherwise.
static void	exit (const Nom &message, int exit_code=-1)
static bool	is_sequential ()
static void	barrier ()
	Synchronizes all processors in the current group (waits until all processors have reached the barrier).
static void	abort ()
	Abort routine for TRUST on a fatal error.
static Sortie &	Journal (int message_level=0)
	Returns a static Sortie object used as an event journal.
static double	ram_processeur ()
static void	imprimer_ram_totale (int all_process=0)
static bool	force_single_file (const int ranks, const Nom &filename)
Static Public Attributes inherited from Objet_U
static double	precision_geom = 1e-10
static constexpr bool	HAS_POINTER = false
static int	dimension =0
static int	format_precision_geom =11
static int	axi =0
static int	bidim_axi =0
static int	DEACTIVATE_SIGINT_CATCH =0
static Type_info	info_obj
static bool	disable_TU =false
	Flag to disable or not the writing of the .TU files.
static bool	stat_per_proc_perf_log =false
	Flag to enable the writing of the statistics detailed per processor in _csv.TU file.
Static Public Attributes inherited from Process
static int	exception_sur_exit =0
static int	multiple_files =5120
Protected Member Functions inherited from Objet_U
	Objet_U ()
	Default constructor: assigns a unique identifier to the object (object_id_) and registers the object in "memory" by giving it a num_obj number.
	Objet_U (const Objet_U &)
	Copy constructor.
const Objet_U &	operator= (const Objet_U &)
	Assignment operator: does nothing (the number and identifier are preserved).
virtual void	set_param (Param &) const

Detailed Description

Polynomial in n variables, n <= 4. Coefficients are stored using a DoubleTab.

Definition at line 25 of file Polynome.h.

Constructor & Destructor Documentation

◆ Polynome() [1/5]

Polynome::Polynome ( int n1 )

inline

Constructs a polynomial in one variable of degree n1.

Parameters

(int	n1) degree of the polynomial

Definition at line 78 of file Polynome.h.

◆ Polynome() [2/5]

Polynome::Polynome	(	int	n1,
		int	n2 )

inline

Constructs a polynomial in 2 variables of degrees n1 and n2.

Parameters

(int	n1) degree of the first variable
(int	n2) degree of the second variable

Definition at line 85 of file Polynome.h.

◆ Polynome() [3/5]

Polynome::Polynome	(	int	n1,
		int	n2,
		int	n3 )

inline

Constructs a polynomial in 3 variables of degrees n1, n2 and n3.

Parameters

(int	n1) degree of the first variable
(int	n2) degree of the second variable
(int	n3) degree of the third variable

Definition at line 93 of file Polynome.h.

◆ Polynome() [4/5]

Polynome::Polynome	(	int	n1,
		int	n2,
		int	n3,
		int	n4 )

inline

Constructs a polynomial in 4 variables of degrees n1, n2, n3 and n4.

Parameters

(int	n1) degree of the first variable
(int	n2) degree of the second variable
(int	n3) degree of the third variable
(int	n4) degree of the fourth variable

Definition at line 102 of file Polynome.h.

◆ Polynome() [5/5]

Polynome::Polynome ( const DoubleTab & t )

inline

Constructs a polynomial from its coefficient array.

Parameters

(const DoubleTab& t) the coefficient array of the polynomial (1 to 4 dimensions)

Definition at line 108 of file Polynome.h.

Member Function Documentation

◆ coeff() [1/8]

double & Polynome::coeff ( int n1 )

inline

Returns the coefficient of the term of degree n1.

Parameters

(int	n1) degree

Returns: (double&) coefficient

Definition at line 125 of file Polynome.h.

◆ coeff() [2/8]

double Polynome::coeff ( int n1 ) const

inline

Returns the coefficient of the term of degree n1 (const).

Parameters

(int	n1) degree

Returns: (double) coefficient

Definition at line 171 of file Polynome.h.

◆ coeff() [3/8]

double & Polynome::coeff	(	int	n1,
		int	n2 )

inline

Returns the coefficient of the term of degree (n1, n2).

Parameters

(int	n1) degree in first variable
(int	n2) degree in second variable

Returns: (double&) coefficient

Definition at line 136 of file Polynome.h.

◆ coeff() [4/8]

double Polynome::coeff	(	int	n1,
		int	n2 ) const

inline

Returns the coefficient of the term of degree (n1, n2) (const).

Parameters

(int	n1) degree in first variable
(int	n2) degree in second variable

Returns: (double) coefficient

Definition at line 182 of file Polynome.h.

◆ coeff() [5/8]

double & Polynome::coeff	(	int	n1,
		int	n2,
		int	n3 )

inline

Returns the coefficient of the term of degree (n1, n2, n3).

Parameters

(int	n1) degree in first variable
(int	n2) degree in second variable
(int	n3) degree in third variable

Returns: (double&) coefficient

Definition at line 148 of file Polynome.h.

◆ coeff() [6/8]

double Polynome::coeff	(	int	n1,
		int	n2,
		int	n3 ) const

inline

Returns the coefficient of the term of degree (n1, n2, n3) (const).

Parameters

(int	n1) degree in first variable
(int	n2) degree in second variable
(int	n3) degree in third variable

Returns: (double) coefficient

Definition at line 194 of file Polynome.h.

◆ coeff() [7/8]

double & Polynome::coeff	(	int	n1,
		int	n2,
		int	n3,
		int	n4 )

inline

Returns the coefficient of the term of degree (n1, n2, n3, n4).

Parameters

(int	n1) degree in first variable
(int	n2) degree in second variable
(int	n3) degree in third variable
(int	n4) degree in fourth variable

Returns: (double&) coefficient

Definition at line 161 of file Polynome.h.

◆ coeff() [8/8]

double Polynome::coeff	(	int	n1,
		int	n2,
		int	n3,
		int	n4 ) const

inline

Returns the coefficient of the term of degree (n1, n2, n3, n4) (const).

Parameters

(int	n1) degree in first variable
(int	n2) degree in second variable
(int	n3) degree in third variable
(int	n4) degree in fourth variable

Returns: (double) coefficient

Definition at line 207 of file Polynome.h.

◆ degre()

int Polynome::degre ( int i ) const

inline

Returns the degree of the polynomial with respect to the i-th variable.

Parameters

(int	i) index of the variable

Returns: (int) degree of the polynomial

Definition at line 115 of file Polynome.h.

◆ derive() [1/5]

double Polynome::derive ( double x1 ) const

Not implemented. Returns 0.

Definition at line 213 of file Polynome.cpp.

◆ derive() [2/5]

double Polynome::derive	(	double	x1,
		double	x2 ) const

Not implemented. Returns 0.

Definition at line 221 of file Polynome.cpp.

◆ derive() [3/5]

double Polynome::derive	(	double	x1,
		double	x2,
		double	x3 ) const

Not implemented. Returns 0.

Definition at line 229 of file Polynome.cpp.

◆ derive() [4/5]

double Polynome::derive	(	double	x1,
		double	x2,
		double	x3,
		double	x4 ) const

Not implemented. Returns 0.

Definition at line 237 of file Polynome.cpp.

◆ derive() [5/5]

void Polynome::derive ( int = 0 )

Not implemented. Does nothing.

Definition at line 198 of file Polynome.cpp.

◆ integre() [1/5]

double Polynome::integre ( double x1 ) const

Not implemented. Returns 0.

Definition at line 246 of file Polynome.cpp.

◆ integre() [2/5]

double Polynome::integre	(	double	x1,
		double	x2 ) const

Not implemented. Returns 0.

Definition at line 254 of file Polynome.cpp.

◆ integre() [3/5]

double Polynome::integre	(	double	x1,
		double	x2,
		double	x3 ) const

Not implemented. Returns 0.

Definition at line 262 of file Polynome.cpp.

◆ integre() [4/5]

double Polynome::integre	(	double	x1,
		double	x2,
		double	x3,
		double	x4 ) const

Not implemented. Returns 0.

Definition at line 270 of file Polynome.cpp.

◆ integre() [5/5]

void Polynome::integre ( int = 0 )

Not implemented. Does nothing.

Definition at line 205 of file Polynome.cpp.

◆ operator()() [1/4]

double Polynome::operator() ( double x1 ) const

Evaluates the polynomial at point x1.

Parameters

(double x1) evaluation point

Returns: (double) value of the polynomial

Definition at line 51 of file Polynome.cpp.

◆ operator()() [2/4]

double Polynome::operator()	(	double	x1,
		double	x2 ) const

Evaluates the polynomial at point (x1, x2).

Parameters

(double	x1) first variable evaluation point
(double	x2) second variable evaluation point

Returns: (double) value of the polynomial

Definition at line 71 of file Polynome.cpp.

◆ operator()() [3/4]

double Polynome::operator()	(	double	x1,
		double	x2,
		double	x3 ) const

Evaluates the polynomial at point (x1, x2, x3).

Parameters

(double	x1) first variable evaluation point
(double	x2) second variable evaluation point
(double	x3) third variable evaluation point

Returns: (double) value of the polynomial

Definition at line 103 of file Polynome.cpp.

◆ operator()() [4/4]

double Polynome::operator()	(	double	x1,
		double	x2,
		double	x3,
		double	x4 ) const

Evaluates the polynomial at point (x1, x2, x3, x4).

Parameters

(double	x1) first variable evaluation point
(double	x2) second variable evaluation point
(double	x3) third variable evaluation point
(double	x4) fourth variable evaluation point

Returns: (double) value of the polynomial

Definition at line 147 of file Polynome.cpp.