mps::Polynomial Class Reference

Inheritance diagram for mps::Polynomial:

Public Member Functions
	Polynomial (mps_context *ctx, const char *type_name="mps_polynomial")
	This constructor has the main role of adjusting the fake vtable in the C struct to reflect the actual content of the C++ implementation that may have been provided in extension to this class.
int	get_degree ()
	Public accessor to the degree of the Polynomial.
virtual bool	eval (mps_context *ctx, cplx_t x, cplx_t value, double *error)=0
	Evaluate the polynomial at a point.
virtual bool	eval (mps_context *ctx, cdpe_t x, cdpe_t value, rdpe_t error)=0
	Evaluate the polynomial at a point.
virtual bool	eval (mps_context *ctx, mpc_t x, mpc_t value, rdpe_t error)=0
	Evaluate the polynomial at a point.
virtual long int	raise_data_wp (mps_context *ctx, long int wp)
	Raise the working precision of this polynomial to the specified value.
virtual void	start_fp (mps_context *ctx, mps_approximation **approximations)
virtual void	start_dpe (mps_context *ctx, mps_approximation **approximations)
virtual void	start_mp (mps_context *ctx, mps_approximation **approximations)
virtual void	get_leading_coefficient (mps_context *ctx, mpc_t lc)
virtual void	newton (mps_context *ctx, mps_approximation *a, cplx_t x)=0
virtual void	newton (mps_context *ctx, mps_approximation *a, cdpe_t x)=0
virtual void	newton (mps_context *ctx, mps_approximation *a, mpc_t x, long int wp)=0

Static Public Member Functions
static Polynomial *	fromString (mps_context *ctx, const char *inputString)
	Parse a polynomial from a C-style string.
static mps_boolean	feval_wrapper (mps_context *ctx, mps_polynomial *p, cplx_t x, cplx_t value, double *error)
static mps_boolean	deval_wrapper (mps_context *ctx, mps_polynomial *p, cdpe_t x, cdpe_t value, rdpe_t error)
static mps_boolean	meval_wrapper (mps_context *ctx, mps_polynomial *p, mpc_t x, mpc_t value, rdpe_t error)
static void	free_wrapper (mps_context *ctx, mps_polynomial *p)
static long int	raise_data_wrapper (mps_context *ctx, mps_polynomial *p, long int wp)
static void	fstart_wrapper (mps_context *ctx, mps_polynomial *p, mps_approximation **approximations)
static void	dstart_wrapper (mps_context *ctx, mps_polynomial *p, mps_approximation **approximations)
static void	mstart_wrapper (mps_context *ctx, mps_polynomial *p, mps_approximation **approximations)
static void	fnewton_wrapper (mps_context *ctx, mps_polynomial *p, mps_approximation *a, cplx_t x)
static void	dnewton_wrapper (mps_context *ctx, mps_polynomial *p, mps_approximation *a, cdpe_t x)
static void	mnewton_wrapper (mps_context *ctx, mps_polynomial *p, mps_approximation *a, mpc_t x, long int wp)
static void	get_leading_coefficient_wrapper (mps_context *ctx, mps_polynomial *p, mpc_t leading_coefficient)

Additional Inherited Members
Public Attributes inherited from mps_polynomial
const char *	type_name
	Name of the type. This must be a global static string that can be used to check if a mps_polynomial is of a specific type. It can be NULL to leave the type vague.
int	degree
	The degree of the polynomial.
long int	prec
	Bits of precision of the coefficients.
mps_structure	structure
	Structure of the polynomial, i.e., the algebraic (or non-algebraic) structure where the coefficients are found.
mps_density	density
	Density of the coefficients, or MPS_DENSITY_USER if the coefficients (or the newton fraction) is provided via a user routine.
mps_boolean	thread_safe
	This is true if the polynomial has thread-safe methods. Note that this is the default assumption set by mps_polynomial_init(). You should overwrite after calling it if that's not the case.
mps_polynomial_feval_t	feval
	Method that evaluates the polynomial.
mps_polynomial_deval_t	deval
	Method that evaluates the polynomial.
mps_polynomial_meval_t	meval
	Method that evaluates the polynomial.
mps_polynomial_fstart_t	fstart
	Method that collocate initial starting points.
mps_polynomial_dstart_t	dstart
	Method that collocate initial starting points.
mps_polynomial_mstart_t	mstart
	Method that collocate initial starting points.
mps_polynomial_free_t	free
	Function used to release polynomial resources.
mps_polynomial_raise_data_t	raise_data
	Function used to raise precision of the coefficients of the representation of the polynomial.
mps_polynomial_fnewton_t	fnewton
	Function used to compute the Newton correction in a point.
mps_polynomial_dnewton_t	dnewton
	Function used to compute the Newton correction in a point.
mps_polynomial_mnewton_t	mnewton
	Function used to compute the Newton correction in a point.
mps_polynomial_get_leading_coefficient_t	get_leading_coefficient
	Function used to retrieve the leading coefficient of the polynomial.

Member Function Documentation

eval() [1/3]

virtual bool mps::Polynomial::eval ( mps_context * ctx, cdpe_t x, cdpe_t value, rdpe_t error )

pure virtual

Evaluate the polynomial at a point.

This method should be overloaded by subclasses of Polynomial in order to provide the necessary methods to MPSolve.

Parameters

x	The point where the Polynomial should be evaluted.
value	The storage where the result of the evaluation will be stored.
error	An upper bound to the error that has been computed in this operation.

Returns

true if the operation was successful, false in case an exception has been encountered.

Implemented in mps::NRootsPolynomial.

eval() [2/3]

virtual bool mps::Polynomial::eval ( mps_context * ctx, cplx_t x, cplx_t value, double * error )

pure virtual

Evaluate the polynomial at a point.

This method should be overloaded by subclasses of Polynomial in order to provide the necessary methods to MPSolve.

Parameters

x	The point where the Polynomial should be evaluted.
value	The storage where the result of the evaluation will be stored.
error	An upper bound to the error that has been computed in this operation.

Returns

true if the operation was successful, false in case an exception has been encountered.

Implemented in mps::NRootsPolynomial.

eval() [3/3]

virtual bool mps::Polynomial::eval ( mps_context * ctx, mpc_t x, mpc_t value, rdpe_t error )

pure virtual

Evaluate the polynomial at a point.

This method should be overloaded by subclasses of Polynomial in order to provide the necessary methods to MPSolve.

Parameters

x	The point where the Polynomial should be evaluted.
value	The storage where the result of the evaluation will be stored.
error	An upper bound to the error that has been computed in this operation.

Returns

true if the operation was successful, false in case an exception has been encountered.

Implemented in mps::NRootsPolynomial.

raise_data_wp()

long int Polynomial::raise_data_wp ( mps_context * ctx, long int wp )

virtual

Raise the working precision of this polynomial to the specified value.

Note that this might be a no-op on polynomials that are defined implicitly or without the need for explicit coefficients.

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

• polynomial.h
• polynomialxx.cpp