#include <RemezGeneral.h>

Public Types
enum	PolyType { Even , Odd , Full }

Public Member Functions
	AlgRemezGeneral (double lower, double upper, long prec, bigfloat(f)(bigfloat x, void data), void *data)
int	getDegree (void) const
void	setBounds (double lower, double upper)
void	getBounds (double &lower, double &upper) const
double	generateApprox (int num_degree, int den_degree, PolyType num_type, PolyType den_type, const double tolerance=1e-15, const int report_freq=1000)
double	generateApprox (int num_degree, int den_degree, const double tolerance=1e-15, const int report_freq=1000)
double	evaluateApprox (double x) const
double	evaluateInverseApprox (double x) const
double	evaluateFunc (double x) const
double	evaluateInverseFunc (double x) const
void	csv (std::ostream &os=std::cout) const
double	getCoeffNum (const int i) const
double	getCoeffDen (const int i) const

Private Member Functions
void	setupPolyProperties (int num_degree, int den_degree, PolyType num_type_in, PolyType den_type_in)
void	initialGuess ()
void	stpini ()
void	reinitializeAlgorithm ()
void	equations ()
void	search ()
bigfloat	func (bigfloat x) const
bigfloat	getErr (bigfloat x, int *sign) const
int	simq ()
bigfloat	approx (bigfloat x) const

Private Attributes
bigfloat(*	f )(bigfloat x, void *data)
void *	data
std::vector< bigfloat >	param
bigfloat	norm
int	n
int	d
int	pow_n
int	pow_d
PolyType	num_type
PolyType	den_type
std::vector< int >	num_pows
std::vector< int >	den_pows
bigfloat	apstrt
bigfloat	apwidt
bigfloat	apend
int	nd1
int	iter
std::vector< bigfloat >	xx
std::vector< bigfloat >	mm
std::vector< bigfloat >	step
bigfloat	delta
bigfloat	spread
std::vector< bigfloat >	yy
std::vector< bigfloat >	A
std::vector< bigfloat >	B
std::vector< int >	IPS
int	neq
long	prec

Detailed Description

Definition at line 21 of file RemezGeneral.h.

Member Enumeration Documentation

◆ PolyType

enum AlgRemezGeneral::PolyType

Enumerator
Even
Odd
Full

Definition at line 23 of file RemezGeneral.h.

Constructor & Destructor Documentation

◆ AlgRemezGeneral()

AlgRemezGeneral::AlgRemezGeneral	(	double	lower,
		double	upper,
		long	prec,
		bigfloat(*	f )(bigfloat x, void *data),
		void *	data )

Definition at line 13 of file RemezGeneral.cc.

References apend, apstrt, apwidt, d, data, f, n, pow_d, pow_n, prec, and bigfloat::setDefaultPrecision().

Member Function Documentation

◆ setupPolyProperties()

void AlgRemezGeneral::setupPolyProperties	(	int	num_degree,
		int	den_degree,
		PolyType	num_type_in,
		PolyType	den_type_in )

private

Definition at line 27 of file RemezGeneral.cc.

References d, den_pows, den_type, Even, Full, n, num_pows, num_type, Odd, pow_d, and pow_n.

Referenced by generateApprox().

◆ initialGuess()

void AlgRemezGeneral::initialGuess ( )

private

Definition at line 132 of file RemezGeneral.cc.

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

Referenced by reinitializeAlgorithm().

◆ stpini()

void AlgRemezGeneral::stpini ( )

private

Definition at line 159 of file RemezGeneral.cc.

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

Referenced by reinitializeAlgorithm().

◆ reinitializeAlgorithm()

void AlgRemezGeneral::reinitializeAlgorithm ( )

private

Definition at line 72 of file RemezGeneral.cc.

References A, B, d, initialGuess(), IPS, iter, mm, n, neq, param, spread, step, stpini(), xx, and yy.

Referenced by generateApprox().

◆ equations()

void AlgRemezGeneral::equations ( )

private

Definition at line 265 of file RemezGeneral.cc.

References A, B, d, den_pows, func(), n, neq, num_pows, pow_d, pow_n, simq(), and xx.

Referenced by generateApprox().

◆ search()

void AlgRemezGeneral::search ( )

private

Definition at line 168 of file RemezGeneral.cc.

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

Referenced by generateApprox().

◆ func()

bigfloat AlgRemezGeneral::func ( bigfloat x ) const

inlineprivate

Definition at line 90 of file RemezGeneral.h.

References data, and f.

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

◆ getErr()

bigfloat AlgRemezGeneral::getErr	(	bigfloat	x,
		int *	sign ) const

private

Definition at line 318 of file RemezGeneral.cc.

References approx(), f, and func().

Referenced by csv(), generateApprox(), and search().

◆ simq()

int AlgRemezGeneral::simq ( )

private

Definition at line 332 of file RemezGeneral.cc.

References A, B, IPS, n, neq, param, and sum().

Referenced by equations().

◆ approx()

bigfloat AlgRemezGeneral::approx ( bigfloat x ) const

private

Definition at line 304 of file RemezGeneral.cc.

References d, den_pows, n, num_pows, param, pow_d, and pow_n.

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

◆ getDegree()

int AlgRemezGeneral::getDegree ( void ) const

inline

Definition at line 108 of file RemezGeneral.h.

References d, and n.

◆ setBounds()

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

inline

Definition at line 113 of file RemezGeneral.h.

References apend, apstrt, and apwidt.

◆ getBounds()

void AlgRemezGeneral::getBounds	(	double &	lower,
		double &	upper ) const

inline

Definition at line 120 of file RemezGeneral.h.

References apend, and apstrt.

◆ generateApprox() [1/2]

double AlgRemezGeneral::generateApprox	(	int	num_degree,
		int	den_degree,
		PolyType	num_type,
		PolyType	den_type,
		const double	tolerance = 1e-15,
		const int	report_freq = 1000 )