gsl::sf::coulomb Namespace Reference

Namespace for gsl_sf_coulomb functions. More...

Functions
int	wave_FG_e (double const eta, double const x, double const lam_F, int const k_lam_G, result &F, result &Fp, result &G, result &Gp, double &exp_F, double &exp_G)
	C++ version of gsl_sf_coulomb_wave_FG_e(). More...
template<typename DATA >
int	wave_F_array (double lam_min, int kmax, double eta, double x, DATA &fc_array, double &F_exponent)
	C++ version of gsl_sf_coulomb_wave_F_array(). More...
template<typename DATA >
int	wave_FG_array (double lam_min, int kmax, double eta, double x, DATA &fc_array, DATA &gc_array, double &F_exponent, double &G_exponent)
	C++ version of gsl_sf_coulomb_wave_FG_array(). More...
template<typename DATA >
int	wave_FGp_array (double lam_min, int kmax, double eta, double x, DATA &fc_array, DATA &fcp_array, DATA &gc_array, DATA &gcp_array, double &F_exponent, double &G_exponent)
	C++ version of gsl_sf_coulomb_wave_FGp_array(). More...
template<typename DATA >
int	wave_sphF_array (double lam_min, int kmax, double eta, double x, DATA &fc_array, double &F_exponent)
	C++ version of gsl_sf_coulomb_wave_sphF_array(). More...
int	CL_e (double L, double eta, result &result)
	C++ version of gsl_sf_coulomb_CL_e(). More...
template<typename DATA >
int	CL_array (double Lmin, int kmax, double eta, DATA &cl)
	C++ version of gsl_sf_coulomb_CL_array(). More...

Detailed Description

Namespace for gsl_sf_coulomb functions.

Function Documentation

CL_array()

template<typename DATA >

int gsl::sf::coulomb::CL_array ( double  Lmin, int  kmax, double  eta, DATA &  cl  )

inline

C++ version of gsl_sf_coulomb_CL_array().

Parameters

Lmin	A real value
kmax	An integer
eta	A real value
cl	An array

Returns

Error code on failure

Definition at line 326 of file sf_coulomb.hpp.

References gsl::sf::eta().

CL_e()

int gsl::sf::coulomb::CL_e ( double  L, double  eta, result &  result  )

inline

C++ version of gsl_sf_coulomb_CL_e().

Parameters

L	A real value
eta	A real value
result	The result as a gsl::sf::result object

Returns

Error code on failure

Definition at line 303 of file sf_coulomb.hpp.

References gsl::sf::eta().

wave_F_array()

template<typename DATA >

int gsl::sf::coulomb::wave_F_array ( double  lam_min, int  kmax, double  eta, double  x, DATA &  fc_array, double &  F_exponent  )

inline

C++ version of gsl_sf_coulomb_wave_F_array().

Parameters

lam_min	A real value
kmax	An integer
eta	A real value
x	A real value
fc_array	An array
F_exponent	A double

Returns

Error code on failure

Definition at line 175 of file sf_coulomb.hpp.

References gsl::sf::eta().

wave_FG_array()

template<typename DATA >

int gsl::sf::coulomb::wave_FG_array ( double  lam_min, int  kmax, double  eta, double  x, DATA &  fc_array, DATA &  gc_array, double &  F_exponent, double &  G_exponent  )

inline

C++ version of gsl_sf_coulomb_wave_FG_array().

Parameters

lam_min	A real value
kmax	An integer
eta	A real value
x	A real value
fc_array	An array
gc_array	An array
F_exponent	A double
G_exponent	A double

Returns

Error code on failure

Definition at line 211 of file sf_coulomb.hpp.

References gsl::sf::eta().

wave_FG_e()

int gsl::sf::coulomb::wave_FG_e ( double const  eta, double const  x, double const  lam_F, int const  k_lam_G, result &  F, result &  Fp, result &  G, result &  Gp, double &  exp_F, double &  exp_G  )

inline

C++ version of gsl_sf_coulomb_wave_FG_e().

Coulomb wave functions F_{lam_F}(eta,x), G_{lam_G}(eta,x) and their derivatives; lam_G := lam_F - k_lam_G

lam_F, lam_G > -0.5 x > 0.0

Conventions of Abramowitz+Stegun.

Because there can be a large dynamic range of values, overflows are handled gracefully. If an overflow occurs, GSL_EOVRFLW is signalled and exponent(s) are returned through exp_F, exp_G. These are such that

F_L(eta,x) = fc[k_L] * exp(exp_F) G_L(eta,x) = gc[k_L] * exp(exp_G) F_L'(eta,x) = fcp[k_L] * exp(exp_F) G_L'(eta,x) = gcp[k_L] * exp(exp_G)

Parameters

eta	A real value
x	A real value
lam_F	A real value
k_lam_G	An integer
F	A result as a gsl::sf::result object
Fp	A result as a gsl::sf::result object
G	A result as a gsl::sf::result object
Gp	A result as a gsl::sf::result object
exp_F	A double
exp_G	A double

Returns

GSL_SUCCESS or GSLEOVERFLW

Definition at line 146 of file sf_coulomb.hpp.

References gsl::sf::eta(), and gsl::sf::ellint::F().

wave_FGp_array()

template<typename DATA >

int gsl::sf::coulomb::wave_FGp_array ( double  lam_min, int  kmax, double  eta, double  x, DATA &  fc_array, DATA &  fcp_array, DATA &  gc_array, DATA &  gcp_array, double &  F_exponent, double &  G_exponent  )

inline

C++ version of gsl_sf_coulomb_wave_FGp_array().

Parameters

lam_min	A real value
kmax	An integer
eta	A real value
x	A real value
fc_array	An array
fcp_array	An array
gc_array	An array
gcp_array	An array
F_exponent	A double
G_exponent	A double

Returns

Error code on failure

Definition at line 254 of file sf_coulomb.hpp.

References gsl::sf::eta().

wave_sphF_array()

template<typename DATA >

int gsl::sf::coulomb::wave_sphF_array ( double  lam_min, int  kmax, double  eta, double  x, DATA &  fc_array, double &  F_exponent  )

inline

C++ version of gsl_sf_coulomb_wave_sphF_array().

Parameters

lam_min	A real value
kmax	An integer
eta	A real value
x	A real value
fc_array	An array
F_exponent	A double

Returns

Error code on failure

Definition at line 291 of file sf_coulomb.hpp.

References gsl::sf::eta().