polyf.h File Reference

Definition of complex polynomials with machine floating point coefficients. More...

Go to the source code of this file.

Data Structures
struct	polyf_struct
	Polynomial with machine floating point complex coefficients. More...

Typedefs
typedef polyf_struct	polyf_t[1]
	Practical wrapper for polyf_struct. More...
typedef polyf_struct *	polyf
	Convenience pointer to polyf_struct.

Functions
polyf	polyf_new (deg_t degree)
	Returns a new complex polynomial of given degree, with machine floating point coefficients. More...
polyf	polyf_from_roots (compf_ptr roots, deg_t degree)
	Returns a new complex polynomial given the list of its roots, with machine floating point coefficients. More...
bool	polyf_free (polyf P)
	Frees all the memory used by the polynomial P, assuming the struct has been allocated with malloc(), for example with polyr_new(). More...
bool	polyf_set (polyf P, compf coeff, deg_t ind)
	Sets the coefficient of the polynomial P corresponding to the power ind to coeff. More...
bool	polyf_eval (compf res, polyf P, compf z)
	Evaluates P(z) using Horner's method. More...
bool	polyf_eval_r (compf res, polyf P, coeff_t x)
	Evaluates P(x) using Horner's method. More...
polyf	polyf_derivative (polyf P)
	Computes the derivative of P. More...
polyf	polyf_sum (polyf P, polyf Q)
	Computes P+Q. More...
polyf	polyf_diff (polyf P, polyf Q)
	Computes P-Q. More...
polyf	polyf_prod (polyf P, polyf Q)
	Computes P*Q. More...
polyf	polyf_sqr (polyf P)
	Computes the square of P. More...

Detailed Description

Definition of complex polynomials with machine floating point coefficients.

Definition in file polyf.h.

Typedef Documentation

polyf_t

typedef polyf_struct polyf_t[1]

Practical wrapper for polyf_struct.

To avoid the constant use * and & the type polyf_t is a pointer.

Definition at line 39 of file polyf.h.

Function Documentation

polyf_derivative()

polyf polyf_derivative

(

polyf

P

)

Computes the derivative of P.

Parameters

P	the polynomial

Returns

the resulted polynomial, NULL if some error occurred.

polyf_diff()

polyf polyf_diff	(	polyf	P,
		polyf	Q
	)

Computes P-Q.

Parameters

P	a polynomial
Q	another polynomial

Returns

the resulted polynomial, NULL if some error occurred.

polyf_eval()

bool polyf_eval	(	compf	res,
		polyf	P,
		compf	z
	)

Evaluates P(z) using Horner's method.

Parameters

res	the result
P	the polynomial
z	the argument

Returns

true if successfull, false otherwise.

polyf_eval_r()

bool polyf_eval_r	(	compf	res,
		polyf	P,
		coeff_t	x
	)

Evaluates P(x) using Horner's method.

Parameters

res	the result
P	the polynomial
x	the real argument

Returns

true if successfull, false otherwise.

polyf_free()

bool polyf_free

(

polyf

P

)

Frees all the memory used by the polynomial P, assuming the struct has been allocated with malloc(), for example with polyr_new().

Parameters

P	the polynomial

Returns

true if successfull, false otherwise.

polyf_from_roots()

polyf polyf_from_roots	(	compf_ptr	roots,
		deg_t	degree
	)

Returns a new complex polynomial given the list of its roots, with machine floating point coefficients.

Parameters

roots	the roots of the polynomial
degree	the degree of the polynomial

Returns

the new polynomial, NULL if some error occurred.

polyf_new()

polyf polyf_new

(

deg_t

degree

)

Returns a new complex polynomial of given degree, with machine floating point coefficients.

Parameters

degree

the degree of the polynomial

Returns

the new polynomial, NULL if the degree is larger than MAX_DEG.

polyf_prod()

polyf polyf_prod	(	polyf	P,
		polyf	Q
	)

Computes P*Q.

Parameters

P	a polynomial
Q	another polynomial

Returns

the resulted polynomial, NULL if some error occurred.

polyf_set()

bool polyf_set	(	polyf	P,
		compf	coeff,
		deg_t	ind
	)

Sets the coefficient of the polynomial P corresponding to the power ind to coeff.

Parameters

P	the polynomial
coeff	the coefficient
ind	the index

Returns

true if successfull, false otherwise.

polyf_sqr()

polyf polyf_sqr

(

polyf

P

)

Computes the square of P.

Parameters

P	the polynomial

Returns

the resulted polynomial, NULL if some error occurred.

polyf_sum()

polyf polyf_sum	(	polyf	P,
		polyf	Q
	)

Computes P+Q.

Parameters

P	a polynomial
Q	another polynomial

Returns

the resulted polynomial, NULL if some error occurred.