#include <Remez.h>

Public Member Functions
	AlgRemez (double lower, double upper, long prec)
virtual	~AlgRemez ()
int	getDegree (void)
void	setBounds (double lower, double upper)
void	getBounds (double &lower, double &upper)
double	generateApprox (int num_degree, int den_degree, unsigned long power_num, unsigned long power_den, int a_len, double a_param, int a_pow)
double	generateApprox (int num_degree, int den_degree, unsigned long power_num, unsigned long power_den)
double	generateApprox (int degree, unsigned long power_num, unsigned long power_den)
int	getPFE (double res, double pole, double *norm)
int	getIPFE (double res, double pole, double *norm)
double	evaluateApprox (double x)
double	evaluateInverseApprox (double x)
double	evaluateFunc (double x)
double	evaluateInverseFunc (double x)
void	csv (std::ostream &os)

Private Member Functions
void	initialGuess ()
void	equations ()
void	search (bigfloat *step)
void	stpini (bigfloat *step)
int	root ()
bigfloat	polyEval (bigfloat x, bigfloat *poly, long size)
bigfloat	polyDiff (bigfloat x, bigfloat *poly, long size)
bigfloat	rtnewt (bigfloat *poly, long i, bigfloat x1, bigfloat x2, bigfloat xacc)
void	pfe (bigfloat res, bigfloat poles, bigfloat norm)
bigfloat	func (bigfloat x)
bigfloat	getErr (bigfloat x, int *sign)
int	simq (bigfloat A, bigfloat B, bigfloat *X, int n)
void	allocate (int num_degree, int den_degree)
bigfloat	approx (bigfloat x)

Private Attributes
char *	cname
bigfloat *	param
bigfloat *	roots
bigfloat *	poles
bigfloat	norm
int	n
int	d
bigfloat	apstrt
bigfloat	apwidt
bigfloat	apend
unsigned long	power_num
unsigned long	power_den
int	alloc
int	foundRoots
int	nd1
int	iter
bigfloat *	xx
bigfloat *	mm
bigfloat *	step
bigfloat	delta
bigfloat	spread
bigfloat	tolerance
bigfloat *	a
int *	a_power
int	a_length
int	neq
long	prec

Detailed Description

Definition at line 39 of file Remez.h.

Constructor & Destructor Documentation

◆ AlgRemez()

AlgRemez::AlgRemez	(	double	lower,
		double	upper,
		long	prec )

Definition at line 26 of file Remez.cc.

References alloc, apend, apstrt, apwidt, d, foundRoots, n, prec, bigfloat::setDefaultPrecision(), and tolerance.

◆ ~AlgRemez()

AlgRemez::~AlgRemez ( )

virtual

Definition at line 49 of file Remez.cc.

References a, a_power, alloc, mm, param, poles, roots, and xx.

Member Function Documentation

◆ initialGuess()

void AlgRemez::initialGuess ( )

private

Definition at line 262 of file Remez.cc.

References a, apend, apstrt, apwidt, cos(), exp(), M_PI, mm, neq, and xx.

Referenced by generateApprox().

◆ equations()

void AlgRemez::equations ( void )

private

Definition at line 382 of file Remez.cc.

References d, func(), n, neq, param, simq(), and xx.

Referenced by generateApprox().

◆ search()

void AlgRemez::search ( bigfloat * step )

private

Definition at line 299 of file Remez.cc.

References a, apend, apstrt, delta, getErr(), mm, neq, spread, step, and xx.

Referenced by generateApprox().

◆ stpini()

void AlgRemez::stpini ( bigfloat * step )

private

Definition at line 290 of file Remez.cc.

References apend, apstrt, delta, neq, step, and xx.

Referenced by generateApprox().

◆ root()

int AlgRemez::root ( )

private

Definition at line 587 of file Remez.cc.

References d, n, neq, norm, param, poles, roots, and rtnewt().

Referenced by generateApprox().

◆ polyEval()

bigfloat AlgRemez::polyEval	(	bigfloat	x,
		bigfloat *	poly,
		long	size )

private

Definition at line 631 of file Remez.cc.

Referenced by rtnewt().

◆ polyDiff()

bigfloat AlgRemez::polyDiff	(	bigfloat	x,
		bigfloat *	poly,
		long	size )

private

Definition at line 638 of file Remez.cc.

Referenced by rtnewt().

◆ rtnewt()

bigfloat AlgRemez::rtnewt	(	bigfloat *	poly,
		long	i,
		bigfloat	x1,
		bigfloat	x2,
		bigfloat	xacc )

private

Definition at line 646 of file Remez.cc.

References JMAX, polyDiff(), and polyEval().

Referenced by root().

◆ pfe()

void AlgRemez::pfe	(	bigfloat *	res,
		bigfloat *	poles,
		bigfloat	norm )

private

Definition at line 666 of file Remez.cc.

References d, n, norm, and poles.

Referenced by getIPFE(), and getPFE().

◆ func()

bigfloat AlgRemez::func ( bigfloat x )

private

Definition at line 453 of file Remez.cc.

References a, a_length, a_power, power_den, power_num, and sum().

Referenced by equations(), evaluateFunc(), evaluateInverseFunc(), and getErr().

◆ getErr()

bigfloat AlgRemez::getErr	(	bigfloat	x,
		int *	sign )

private

Definition at line 437 of file Remez.cc.

References approx(), and func().

Referenced by generateApprox(), and search().

◆ simq()

int AlgRemez::simq	(	bigfloat *	A,
		bigfloat *	B,
		bigfloat *	X,
		int	n )

private

Definition at line 472 of file Remez.cc.

References B, n, neq, and sum().

Referenced by equations().

◆ allocate()

void AlgRemez::allocate	(	int	num_degree,
		int	den_degree )

private

Definition at line 63 of file Remez.cc.

References a, a_power, alloc, mm, param, poles, roots, SUM_MAX, and xx.

Referenced by generateApprox().

◆ approx()

bigfloat AlgRemez::approx ( bigfloat x )

private

Definition at line 423 of file Remez.cc.

References d, n, and param.

Referenced by evaluateApprox(), evaluateInverseApprox(), and getErr().

◆ getDegree()

int AlgRemez::getDegree ( void )

inline

Definition at line 136 of file Remez.h.

References d, and n.

Referenced by MultiShiftFunction::Init().

◆ setBounds()

void AlgRemez::setBounds	(	double	lower,
		double	upper )

Definition at line 91 of file Remez.cc.

References apend, apstrt, and apwidt.

◆ getBounds()

void AlgRemez::getBounds	(	double &	lower,
		double &	upper )

inline

Definition at line 143 of file Remez.h.

References apend, and apstrt.

Referenced by MultiShiftFunction::Init().

◆ generateApprox() [1/3]

double AlgRemez::generateApprox	(	int	num_degree,
		int	den_degree,
		unsigned long	power_num,
		unsigned long	power_den,
		int	a_len,
		double *	a_param,
		int *	a_pow )