Namespace for physicist Hermite polynomials. More...

Functions
int	prob_e (int const n, double const x, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_prob_e(). More...

double	prob (int const n, double const x)
	C++ version of gsl_sf_hermite_prob(). More...

double	prob_deriv (int const m, int const n, double const x)
	C++ version of gsl_sf_hermite_prob_deriv(). More...

int	phys_e (int const n, double const x, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_e(). More...

double	phys (int const n, double const x)
	C++ version of gsl_sf_hermite(). More...

int	deriv_e (int const m, int const n, double const x, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_deriv_e(). More...

double	deriv (int const m, int const n, double const x)
	C++ version of gsl_sf_hermite_deriv(). More...

int	func_e (int const n, double const x, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_func_e(). More...

double	func (int const n, double const x)
	C++ version of gsl_sf_hermite_func(). More...

int	func_fast_e (int const n, double const x, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_func_fast_e(). More...

double	func_fast (int const n, double const x)
	C++ version of gsl_sf_hermite_func_fast(). More...

template<typename DATA >
int	prob_array (int const nmax, double const x, DATA &result_array)
	C++ version of gsl_sf_hermite_prob_array(). More...

template<typename DATA >
int	prob_array_deriv (int const m, int const nmax, double const x, DATA &result_array)
	C++ version of gsl_sf_hermite_prob_array_deriv(). More...

template<typename DATA >
int	prob_deriv_array (int const mmax, int const n, double const x, DATA &result_array)
	C++ version of gsl_sf_hermite_prob_deriv_array(). More...

template<typename DATA >
int	prob_series_e (int const n, double const x, DATA const &a, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_prob_series_e(). More...

template<typename DATA >
double	prob_series (int const n, double const x, DATA const &a)
	C++ version of gsl_sf_hermite_prob_series(). More...

template<typename DATA >
int	array (int const nmax, double const x, DATA &result_array)
	C++ version of gsl_sf_hermite_array(). More...

template<typename DATA >
int	array_deriv (int const m, int const nmax, double const x, DATA &result_array)
	C++ version of gsl_sf_hermite_array_deriv(). More...

template<typename DATA >
int	deriv_array (int const mmax, int const n, double const x, DATA &result_array)
	C++ version of gsl_sf_hermite_deriv_array(). More...

template<typename DATA >
int	series_e (int const n, double const x, DATA const &a, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_series_e(). More...

template<typename DATA >
double	series (int const n, double const x, DATA const &a)
	C++ version of gsl_sf_hermite_series(). More...

template<typename DATA >
int	func_array (int const nmax, double const x, DATA &result_array)
	C++ version of gsl_sf_hermite_func_array(). More...

template<typename DATA >
int	func_series_e (int const n, double const x, DATA const &a, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_func_series_e(). More...

template<typename DATA >
double	func_series (int const n, double const x, DATA const &a)
	C++ version of gsl_sf_hermite_func_series(). More...

int	func_der_e (int const m, int const n, double const x, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_func_der_e(). More...

double	func_der (int const m, int const n, double const x)
	C++ version of gsl_sf_hermite_func_der(). More...

int	prob_zero_e (int const n, int const s, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_prob_zero_e(). More...

double	prob_zero (int const n, int const s)
	C++ version of gsl_sf_hermite_prob_zero(). More...

int	zero_e (int const n, int const s, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_zero_e(). More...

double	zero (int const n, int const s)
	C++ version of gsl_sf_hermite_zero(). More...

int	func_zero_e (int const n, int const s, gsl_sf_result &result)
	C++ version of gsl_sf_hermite_func_zero_e(). More...

double	func_zero (int const n, int const s)
	C++ version of gsl_sf_hermite_func_zero(). More...

Detailed Description

Namespace for physicist Hermite polynomials.

Function Documentation

◆ array()

template<typename DATA >

int gsl::sf::hermite::array	(	int const	nmax,
		double const	x,
		DATA &	result_array
	)

inline

C++ version of gsl_sf_hermite_array().

Parameters

nmax	Maximum order
x	Position
result_array	An array of doubles: must have size at least nmax + 1

Returns: Error code on failure

Definition at line 324 of file sf_hermite.hpp.

Referenced by gsl::sum::levin_u::accel(), gsl::sum::levin_utrunc::accel(), and gsl::ran::poisson_array().

◆ array_deriv()

template<typename DATA >

int gsl::sf::hermite::array_deriv	(	int const	m,
		int const	nmax,
		double const	x,
		DATA &	result_array
	)

inline

C++ version of gsl_sf_hermite_array_deriv().

Parameters

m	Order of, mth, derivative
nmax	Maximum order
x	Position
result_array	An array of doubles: must have size at least nmax + 1

Returns: Error code on failure

Definition at line 349 of file sf_hermite.hpp.

◆ deriv()

double gsl::sf::hermite::deriv	(	int const	m,
		int const	n,
		double const	x
	)

inline

C++ version of gsl_sf_hermite_deriv().

Parameters

m	Order of, mth, derivative
n	order of the physicist hermite polynomial
x	position

Returns: The mth derivative

Definition at line 126 of file sf_hermite.hpp.

References gsl::rstat::n().

Referenced by gsl::cheb::calc_deriv().

◆ deriv_array()

template<typename DATA >

int gsl::sf::hermite::deriv_array	(	int const	mmax,
		int const	n,
		double const	x,
		DATA &	result_array
	)

inline

C++ version of gsl_sf_hermite_deriv_array().

Parameters

mmax	maximum value of m
n	The order
x	position
result_array	An array of doubles: must have size at least nmax + 1

Returns: Error code on failure

Definition at line 375 of file sf_hermite.hpp.

References gsl::rstat::n().

◆ deriv_e()

int gsl::sf::hermite::deriv_e	(	int const	m,
		int const	n,
		double const	x,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_deriv_e().

Parameters

m	Order of, mth, derivative
n	order of the physicist hermite polynomial
x	position
result	The mth derivative

Returns: Error code on failure

Definition at line 117 of file sf_hermite.hpp.

◆ func()

double gsl::sf::hermite::func	(	int const	n,
		double const	x
	)

inline

C++ version of gsl_sf_hermite_func().

Parameters

n	Order of the Hermite function
x	position

Returns: The function value

Definition at line 154 of file sf_hermite.hpp.

References gsl::rstat::n().

Referenced by gsl::integration::fixed(), gsl::multifit::function::function(), gsl::cheb::series::init(), gsl::cheb::init(), gsl::multifit::function::operator=(), and gsl::multifit::function::~function().

◆ func_array()

template<typename DATA >

int gsl::sf::hermite::func_array	(	int const	nmax,
		double const	x,
		DATA &	result_array
	)

inline

C++ version of gsl_sf_hermite_func_array().

Parameters

nmax	Maximum value of m
x	position
result_array	An array of doubles: must have size at least nmax + 1

Returns: Error code on failure

Definition at line 444 of file sf_hermite.hpp.

◆ func_der()

double gsl::sf::hermite::func_der	(	int const	m,
		int const	n,
		double const	x
	)

inline

C++ version of gsl_sf_hermite_func_der().

Parameters

m	Order of, mth, derivative
n	order of the hermite function
x	position

Returns: result The result

Definition at line 524 of file sf_hermite.hpp.

References gsl::rstat::n().

◆ func_der_e()

int gsl::sf::hermite::func_der_e	(	int const	m,
		int const	n,
		double const	x,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_func_der_e().

Parameters

m	Order of, mth, derivative
n	order of the hermite function
x	position
result	The result

Returns: Error code on failure

Definition at line 515 of file sf_hermite.hpp.

◆ func_e()

int gsl::sf::hermite::func_e	(	int const	n,
		double const	x,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_func_e().

Parameters

n	Order of the Hermite function
x	position
result	The function value

Returns: Error code on failure

Definition at line 146 of file sf_hermite.hpp.

◆ func_fast()

double gsl::sf::hermite::func_fast	(	int const	n,
		double const	x
	)

inline

C++ version of gsl_sf_hermite_func_fast().

Parameters

n	Order of the Hermite function
x	position

Returns: The function value

Definition at line 181 of file sf_hermite.hpp.

References gsl::rstat::n().

◆ func_fast_e()

int gsl::sf::hermite::func_fast_e	(	int const	n,
		double const	x,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_func_fast_e().

Parameters

n	Order of the Hermite function
x	position
result	The function value

Returns: Error code on failure

Definition at line 173 of file sf_hermite.hpp.

◆ func_series()

template<typename DATA >

double gsl::sf::hermite::func_series	(	int const	n,
		double const	x,
		DATA const &	a
	)

inline

C++ version of gsl_sf_hermite_func_series().

Parameters

n	maximum order of n
x	position
a	Array of n+1 doubles a_j

Returns: The result

Definition at line 492 of file sf_hermite.hpp.

References gsl::sf::mathieu::a(), and gsl::rstat::n().

◆ func_series_e()

template<typename DATA >

int gsl::sf::hermite::func_series_e	(	int const	n,
		double const	x,
		DATA const &	a,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_func_series_e().

Parameters

n	maximum order of n
x	position
a	Array of n+1 doubles a_j
result	The result

Returns: Error code on failure

Definition at line 469 of file sf_hermite.hpp.

References gsl::sf::mathieu::a(), and gsl::rstat::n().

◆ func_zero()

double gsl::sf::hermite::func_zero	(	int const	n,
		int const	s
	)

inline

C++ version of gsl_sf_hermite_func_zero().

Parameters

n	order of Hermite function
s	The sth zero is wanted

Returns: The zero

Definition at line 607 of file sf_hermite.hpp.

References gsl::rstat::n().

◆ func_zero_e()

int gsl::sf::hermite::func_zero_e	(	int const	n,
		int const	s,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_func_zero_e().

Parameters

n	order of Hermite function
s	The sth zero is wanted
result	The zero

Returns: Error code on failure

Definition at line 599 of file sf_hermite.hpp.

◆ phys()

double gsl::sf::hermite::phys	(	int const	n,
		double const	x
	)

inline

C++ version of gsl_sf_hermite().

Parameters

n	order of the physicist hermite polynomial
x	position

Returns: The polynomial value

Definition at line 96 of file sf_hermite.hpp.

References gsl::rstat::n().

◆ phys_e()

int gsl::sf::hermite::phys_e	(	int const	n,
		double const	x,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_e().

Parameters

n	order of the physicist hermite polynomial
x	position
result	The polynomial value

Returns: Error code on failure

Definition at line 88 of file sf_hermite.hpp.

◆ prob()

double gsl::sf::hermite::prob	(	int const	n,
		double const	x
	)

inline

C++ version of gsl_sf_hermite_prob().

Parameters

n	order of probabalist Hermite polynomial
x	position

Returns: The polynomial value

Definition at line 59 of file sf_hermite.hpp.

References gsl::rstat::n().

◆ prob_array()

template<typename DATA >

int gsl::sf::hermite::prob_array	(	int const	nmax,
		double const	x,
		DATA &	result_array
	)

inline

C++ version of gsl_sf_hermite_prob_array().

Parameters

nmax	Maximum order
x	Position
result_array	An array of doubles: must have size at least nmax + 1

Returns: Error code on failure

Definition at line 202 of file sf_hermite.hpp.

◆ prob_array_deriv()

template<typename DATA >

int gsl::sf::hermite::prob_array_deriv	(	int const	m,
		int const	nmax,
		double const	x,
		DATA &	result_array
	)

inline

C++ version of gsl_sf_hermite_prob_array_deriv().

Parameters

m	Order of, mth, derivative
nmax	Maximum order
x	Position
result_array	An array of doubles: must have size at least nmax + 1

Returns: Error code on failure

Definition at line 227 of file sf_hermite.hpp.

◆ prob_deriv()

double gsl::sf::hermite::prob_deriv	(	int const	m,
		int const	n,
		double const	x
	)

inline

C++ version of gsl_sf_hermite_prob_deriv().

Parameters

m	Order of, mth, derivative
n	order of probabalist Hermite polynomial
x	position

Returns: The mth derivative

Definition at line 68 of file sf_hermite.hpp.

References gsl::rstat::n().

◆ prob_deriv_array()

template<typename DATA >

int gsl::sf::hermite::prob_deriv_array	(	int const	mmax,
		int const	n,
		double const	x,
		DATA &	result_array
	)

inline

C++ version of gsl_sf_hermite_prob_deriv_array().

Parameters

mmax	maximum value of m
n	The order
x	position
result_array	An array of doubles: must have size at least nmax + 1

Returns: Error code on failure

Definition at line 253 of file sf_hermite.hpp.

References gsl::rstat::n().

◆ prob_e()

int gsl::sf::hermite::prob_e	(	int const	n,
		double const	x,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_prob_e().

Parameters

n	order of probabalist Hermite polynomial
x	position
result	The polynomial value

Returns: Error code on failure

Definition at line 51 of file sf_hermite.hpp.

◆ prob_series()

template<typename DATA >

double gsl::sf::hermite::prob_series	(	int const	n,
		double const	x,
		DATA const &	a
	)

inline

C++ version of gsl_sf_hermite_prob_series().

Parameters

n	maximum order of n
x	position
a	Array of n+1 doubles a_j

Returns: The result

Definition at line 302 of file sf_hermite.hpp.

References gsl::sf::mathieu::a(), and gsl::rstat::n().

◆ prob_series_e()

template<typename DATA >

int gsl::sf::hermite::prob_series_e	(	int const	n,
		double const	x,
		DATA const &	a,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_prob_series_e().

Parameters

n	maximum order of n
x	position
a	Array of n+1 doubles a_j
result	The result

Returns: Error code on failure

Definition at line 279 of file sf_hermite.hpp.

References gsl::sf::mathieu::a(), and gsl::rstat::n().

◆ prob_zero()

double gsl::sf::hermite::prob_zero	(	int const	n,
		int const	s
	)

inline

C++ version of gsl_sf_hermite_prob_zero().

Parameters

n	order of probabalist Hermite polynomial
s	The sth zero is wanted

Returns: The zero

Definition at line 552 of file sf_hermite.hpp.

References gsl::rstat::n().

◆ prob_zero_e()

int gsl::sf::hermite::prob_zero_e	(	int const	n,
		int const	s,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_prob_zero_e().

Parameters

n	order of probabalist Hermite polynomial
s	The sth zero is wanted
result	The zero

Returns: Error code on failure

Definition at line 544 of file sf_hermite.hpp.

◆ series()

template<typename DATA >

double gsl::sf::hermite::series	(	int const	n,
		double const	x,
		DATA const &	a
	)

inline

C++ version of gsl_sf_hermite_series().

Parameters

n	maximum order of n
x	position
a	Array of n+1 doubles a_j

Returns: The result

Definition at line 422 of file sf_hermite.hpp.

References gsl::sf::mathieu::a(), and gsl::rstat::n().

◆ series_e()

template<typename DATA >

int gsl::sf::hermite::series_e	(	int const	n,
		double const	x,
		DATA const &	a,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_series_e().

Parameters

n	maximum order of n
x	position
a	Array of n+1 doubles a_j
result	The result

Returns: Error code on failure

Definition at line 400 of file sf_hermite.hpp.

References gsl::sf::mathieu::a(), and gsl::rstat::n().

◆ zero()

double gsl::sf::hermite::zero	(	int const	n,
		int const	s
	)

inline

C++ version of gsl_sf_hermite_zero().

Parameters

n	order of physicist Hermite polynomial
s	The sth zero is wanted

Returns: The zero

Definition at line 580 of file sf_hermite.hpp.

References gsl::rstat::n().

◆ zero_e()

int gsl::sf::hermite::zero_e	(	int const	n,
		int const	s,
		gsl_sf_result &	result
	)

inline

C++ version of gsl_sf_hermite_zero_e().

Parameters

n	order of physicist Hermite polynomial
s	The sth zero is wanted
result	The zero

Returns: Error code on failure

Definition at line 572 of file sf_hermite.hpp.

Functions

Detailed Description

Function Documentation

◆ array()

◆ array_deriv()

◆ deriv()

◆ deriv_array()

◆ deriv_e()

◆ func()

◆ func_array()

◆ func_der()

◆ func_der_e()

◆ func_e()

◆ func_fast()

◆ func_fast_e()

◆ func_series()

◆ func_series_e()

◆ func_zero()

◆ func_zero_e()

◆ phys()

◆ phys_e()

◆ prob()

◆ prob_array()

◆ prob_array_deriv()

◆ prob_deriv()

◆ prob_deriv_array()

◆ prob_e()

◆ prob_series()

◆ prob_series_e()

◆ prob_zero()

◆ prob_zero_e()

◆ series()

◆ series_e()

◆ zero()

◆ zero_e()