Chebyshev_approximations to univariate functions. More...

Classes
class	series
	Workspace for Chebyshev series. More...

Functions
int	init (series &cs, function_scl const &func, double const a, double const b)
	C++ version of gsl_cheb_init(). More...

int	init (series &cs, gsl_function const *func, double const a, double const b)
	C++ version of gsl_cheb_init(). More...

size_t	order (series const &cs)
	C++ version of gsl_cheb_order(). More...

size_t	size (series const &cs)
	C++ version of gsl_cheb_size(). More...

double *	coeffs (series const &cs)
	C++ version of gsl_cheb_coeffs(). More...

double	eval (series const &cs, double const x)
	C++ version of gsl_cheb_eval(). More...

int	eval_err (series const &cs, double const x, double &result, double &abserr)
	C++ version of gsl_cheb_eval_err(). More...

double	eval_n (series const &cs, size_t const order, double const x)
	C++ version of gsl_cheb_eval_n(). More...

int	eval_n_err (series const &cs, size_t const order, double const x, double &result, double &abserr)
	C++ version of gsl_cheb_eval_n_err(). More...

double	eval_mode (series const &cs, double const x, gsl::mode_t mode)
	C++ version of gsl_cheb_eval_mode(). More...

int	eval_mode_e (series const &cs, double const x, gsl_mode_t mode, double &result, double &abserr)
	C++ version of gsl_cheb_eval_mode_e(). More...

int	calc_deriv (series &deriv, series const &cs)
	C++ version of gsl_cheb_calc_deriv(). More...

int	calc_integ (series &integ, series const &cs)
	C++ version of gsl_cheb_calc_integ(). More...

Detailed Description

Chebyshev_approximations to univariate functions.

Function Documentation

◆ calc_deriv()

int gsl::cheb::calc_deriv	(	series &	deriv,
		series const &	cs
	)

inline

C++ version of gsl_cheb_calc_deriv().

Parameters

deriv	The cheb::series for the deriv
cs	The cheb::series

Returns: Error code on failure

Definition at line 408 of file chebyshev.hpp.

References gsl::sf::hermite::deriv(), and gsl::cheb::series::get().

◆ calc_integ()

int gsl::cheb::calc_integ	(	series &	integ,
		series const &	cs
	)

inline

C++ version of gsl_cheb_calc_integ().

Parameters

integ	The cheb::series for the integral
cs	The cheb::series

Returns: Error code on failure

Definition at line 417 of file chebyshev.hpp.

References gsl::cheb::series::get().

◆ coeffs()

double * gsl::cheb::coeffs ( series const & cs )

inline

C++ version of gsl_cheb_coeffs().

Parameters

cs	The cheb::series

Returns: The array of Chebyshev coefficients

Definition at line 294 of file chebyshev.hpp.

References gsl::cheb::series::get().

◆ eval()

double gsl::cheb::eval	(	series const &	cs,
		double const	x
	)

inline

C++ version of gsl_cheb_eval().

Parameters

cs	The cheb::series
x	The point at which to evaluate the Chebyshev series

Returns: The series evaluated at x

Definition at line 302 of file chebyshev.hpp.

References gsl::cheb::series::get().

◆ eval_err()

int gsl::cheb::eval_err	(	series const &	cs,
		double const	x,
		double &	result,
		double &	abserr
	)

inline

C++ version of gsl_cheb_eval_err().

Parameters

cs	The cheb::series
x	The point at which to evaluate the Chebyshev series
result	The series evaluated at x [return value]
abserr	The absolute error estimate [return value]

Returns: Error code on failure

Definition at line 325 of file chebyshev.hpp.

References gsl::cheb::series::get().

◆ eval_mode()

double gsl::cheb::eval_mode	(	series const &	cs,
		double const	x,
		gsl::mode_t	mode
	)

inline

C++ version of gsl_cheb_eval_mode().

Parameters

cs	The cheb::series
x	The point at which to evaluate the Chebyshev series
mode	The mode (DEFAULT, DOUBLE, SINGLE or APPROX)

Returns: The Chebyshev series evaluated at x in the given mode

Definition at line 372 of file chebyshev.hpp.

References gsl::cheb::series::get().

◆ eval_mode_e()

int gsl::cheb::eval_mode_e	(	series const &	cs,
		double const	x,
		gsl_mode_t	mode,
		double &	result,
		double &	abserr
	)

inline

C++ version of gsl_cheb_eval_mode_e().

Parameters

cs	The cheb::series
x	The point at which to evaluate the Chebyshev series
mode	The mode (DEFAULT, DOUBLE, SINGLE or APPROX)
result	The Chebyshev series evaluated at x in the given mode [return value]
abserr	The absolute error estimate [return value]

Returns: Error code on failure

Definition at line 398 of file chebyshev.hpp.

References gsl::cheb::series::get().

◆ eval_n()

double gsl::cheb::eval_n	(	series const &	cs,
		size_t const	order,
		double const	x
	)

inline

C++ version of gsl_cheb_eval_n().

Parameters

cs	The cheb::series
order	The order to which to evaluate the series
x	The point at which to evaluate the Chebyshev series

Returns: The Chebyshev series evaluated at x to order at most order

Definition at line 335 of file chebyshev.hpp.

References gsl::cheb::series::get(), and order().

◆ eval_n_err()

int gsl::cheb::eval_n_err	(	series const &	cs,
		size_t const	order,
		double const	x,
		double &	result,
		double &	abserr
	)

inline

C++ version of gsl_cheb_eval_n_err().

Parameters

cs	The cheb::series
order	The order to which to evaluate the series
x	The point at which to evaluate the Chebyshev series
result	The series evaluated at x to (at most) the given order [return value]
abserr	The absolute error estimate [return value]

Returns: Error code on failure

Definition at line 361 of file chebyshev.hpp.

References gsl::cheb::series::get(), and order().

◆ init() [1/2]

int gsl::cheb::init	(	series &	cs,
		function_scl const &	func,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cheb_init().

Parameters

cs	The cheb::series
func	A gsl::function_scl
a	The lower interval point
b	The upper interval point

Returns: Error code on failure

Definition at line 262 of file chebyshev.hpp.

References gsl::sf::mathieu::a(), gsl::sf::mathieu::b(), gsl::sf::hermite::func(), and gsl::cheb::series::get().

Referenced by gsl::combination::combination().

◆ init() [2/2]

int gsl::cheb::init	(	series &	cs,
		gsl_function const *	func,
		double const	a,
		double const	b
	)

inline

C++ version of gsl_cheb_init().

Parameters

cs	The cheb::series
func	A gsl_function or gsl::function_scl
a	The lower interval point
b	The upper interval point

Returns: Error code on failure

Definition at line 272 of file chebyshev.hpp.

References gsl::sf::mathieu::a(), gsl::sf::mathieu::b(), gsl::sf::hermite::func(), and gsl::cheb::series::get().

◆ order()

size_t gsl::cheb::order ( series const & cs )

inline

C++ version of gsl_cheb_order().

Parameters

cs	The cheb::series

Returns: The order of the series

Definition at line 280 of file chebyshev.hpp.

References gsl::cheb::series::get().

Referenced by eval_n(), eval_n_err(), and gsl::cheb::series::series().

◆ size()

size_t gsl::cheb::size ( series const & cs )

inline

C++ version of gsl_cheb_size().

Parameters

cs	The cheb::series

Returns: The size of the Chebyshev coefficient array

Definition at line 287 of file chebyshev.hpp.

References gsl::cheb::series::get().

Referenced by gsl::vector_char::clone(), gsl::vector_int::clone(), gsl::vector_long::clone(), gsl::vector_long_double::clone(), gsl::vector_short::clone(), gsl::vector_uchar::clone(), gsl::vector_uint::clone(), gsl::vector_ulong::clone(), gsl::vector_ushort::clone(), gsl::poly::dd_eval(), gsl::poly::dd_hermite_init(), gsl::poly::dd_init(), gsl::poly::dd_taylor(), gsl::dht::dht(), gsl::vector_char::end(), gsl::vector_int::end(), gsl::vector_long::end(), gsl::vector_long_double::end(), gsl::vector_short::end(), gsl::vector_uchar::end(), gsl::vector_uint::end(), gsl::vector_ulong::end(), gsl::vector_ushort::end(), gsl::interp::init(), gsl::spline::init(), gsl::vector_char::operator<(), gsl::vector_int::operator<(), gsl::vector_long::operator<(), gsl::vector_long_double::operator<(), gsl::vector_short::operator<(), gsl::vector_uchar::operator<(), gsl::vector_uint::operator<(), gsl::vector_ulong::operator<(), gsl::vector_ushort::operator<(), gsl::vector_char::operator>(), gsl::vector_int::operator>(), gsl::vector_long::operator>(), gsl::vector_long_double::operator>(), gsl::vector_short::operator>(), gsl::vector_uchar::operator>(), gsl::vector_uint::operator>(), gsl::vector_ulong::operator>(), gsl::vector_ushort::operator>(), gsl::vector_char::operator[](), gsl::vector_int::operator[](), gsl::vector_long::operator[](), gsl::vector_long_double::operator[](), gsl::vector_short::operator[](), gsl::vector_uchar::operator[](), gsl::vector_uint::operator[](), gsl::vector_ulong::operator[](), gsl::vector_ushort::operator[](), gsl::vector_char::rbegin(), gsl::vector_int::rbegin(), gsl::vector_long::rbegin(), gsl::vector_long_double::rbegin(), gsl::vector_short::rbegin(), gsl::vector_uchar::rbegin(), gsl::vector_uint::rbegin(), gsl::vector_ulong::rbegin(), gsl::vector_ushort::rbegin(), and gsl::siman< XP >::solve().

Classes

Functions

Detailed Description

Function Documentation

◆ calc_deriv()

◆ calc_integ()

◆ coeffs()

◆ eval()

◆ eval_err()

◆ eval_mode()

◆ eval_mode_e()

◆ eval_n()

◆ eval_n_err()

◆ init() [1/2]

◆ init() [2/2]

◆ order()

◆ size()