gsl::bspline Namespace Reference

Basis splines. More...

Classes
class	workspace

Functions
size_t	ncoeffs (workspace &w)
	C++ version of gsl_bspline_ncoeffs(). More...
size_t	order (workspace &w)
	C++ version of gsl_bspline_order(). More...
size_t	nbreak (workspace &w)
	C++ version of gsl_bspline_nbreak(). More...
double	breakpoint (size_t i, workspace &w)
	C++ version of gsl_bspline_breakpoint(). More...
double	greville_abscissa (size_t i, workspace &w)
	C++ version of gsl_bspline_greville_abscissa(). More...
int	knots (vector const &breakpts, workspace &w)
	C++ version of gsl_bspline_knots(). More...
int	knots_uniform (double const a, double const b, workspace &w)
	C++ version of gsl_bspline_knots_uniform(). More...
int	eval (double const x, vector &B, workspace &w)
	C++ version of gsl_bspline_eval(). More...
int	eval_nonzero (double const x, vector &Bk, size_t &istart, size_t &iend, workspace &w)
	C++ version of gsl_bspline_eval_nonzero(). More...
int	deriv_eval (double const x, size_t const nderiv, matrix &dB, workspace &w)
	C++ version of gsl_bspline_deriv_eval(). More...
int	deriv_eval_nonzero (double const x, size_t const nderiv, matrix &dB, size_t &istart, size_t &iend, workspace &w)
	C++ version of gsl_bspline_deriv_eval_nonzero(). More...

Detailed Description

Basis splines.

Function Documentation

breakpoint()

double gsl::bspline::breakpoint ( size_t  i, workspace &  w  )

inline

C++ version of gsl_bspline_breakpoint().

Parameters

i	An index
w	A gsl::bspline::workspace

Returns

The ith breakpoint

Definition at line 270 of file bspline.hpp.

References gsl::bspline::workspace::get().

deriv_eval()

int gsl::bspline::deriv_eval ( double const  x, size_t const  nderiv, matrix &  dB, workspace &  w  )

inline

C++ version of gsl_bspline_deriv_eval().

Parameters

x	A position
nderiv	Highest derivative to compute for
dB	Matrix to hold derivatives
w	A gsl::bspline::workspace

Returns

Error code on failure

Definition at line 347 of file bspline.hpp.

References gsl::matrix::get(), and gsl::bspline::workspace::get().

deriv_eval_nonzero()

int gsl::bspline::deriv_eval_nonzero ( double const  x, size_t const  nderiv, matrix &  dB, size_t &  istart, size_t &  iend, workspace &  w  )

inline

C++ version of gsl_bspline_deriv_eval_nonzero().

Parameters

x	A position
nderiv	Highest derivative to compute for
dB	Matrix to hold derivatives
istart	Index of first nonzero element
iend	Index of last nonzero element
w	A gsl::bspline::workspace

Returns

Error code on failure

Definition at line 376 of file bspline.hpp.

References gsl::matrix::get(), and gsl::bspline::workspace::get().

eval()

int gsl::bspline::eval ( double const  x, vector &  B, workspace &  w  )

inline

C++ version of gsl_bspline_eval().

Parameters

x	A position
B	A vector to hold \(B_1(x),\ldots,B_n(x)\), where (n) can be found usning ncoeffs()
w	A gsl::bspline::workspace

Returns

Error code on failure

Definition at line 309 of file bspline.hpp.

References gsl::vector::get(), and gsl::bspline::workspace::get().

Referenced by gsl::eigen::genherm(), gsl::eigen::genhermv(), gsl::eigen::genhermv_sort(), gsl::eigen::gensymm(), gsl::eigen::gensymmv(), gsl::eigen::gensymmv_sort(), gsl::eigen::herm(), gsl::eigen::hermv(), gsl::eigen::hermv_sort(), gsl::eigen::nonsymm(), gsl::eigen::nonsymm_Z(), gsl::eigen::nonsymmv(), gsl::eigen::nonsymmv_sort(), gsl::eigen::nonsymmv_Z(), gsl::eigen::symm(), gsl::eigen::symmv(), and gsl::eigen::symmv_sort().

eval_nonzero()

int gsl::bspline::eval_nonzero ( double const  x, vector &  Bk, size_t &  istart, size_t &  iend, workspace &  w  )

inline

C++ version of gsl_bspline_eval_nonzero().

Parameters

x	A position
Bk	A vector of lenth k
istart	Index of first nonzero element
iend	Index of last nonzero element
w	A gsl::bspline::workspace

Returns

Error code on failure

Definition at line 335 of file bspline.hpp.

References gsl::vector::get(), and gsl::bspline::workspace::get().

greville_abscissa()

double gsl::bspline::greville_abscissa ( size_t  i, workspace &  w  )

inline

C++ version of gsl_bspline_greville_abscissa().

Parameters

i	An index
w	A gsl::bspline::workspace

Returns

The ith Greville abscissa for the given spline basis

Definition at line 279 of file bspline.hpp.

References gsl::bspline::workspace::get().

knots()

int gsl::bspline::knots ( vector const &  breakpts, workspace &  w  )

inline

C++ version of gsl_bspline_knots().

Parameters

breakpts	A vector of breakpoints
w	A gsl::bspline::workspace

Returns

Error code on failure

Definition at line 288 of file bspline.hpp.

References gsl::vector::get(), and gsl::bspline::workspace::get().

knots_uniform()

int gsl::bspline::knots_uniform ( double const  a, double const  b, workspace &  w  )

inline

C++ version of gsl_bspline_knots_uniform().

Parameters

a	Lower end of range
b	Upper end of range
w	A gsl::bspline::workspace

Returns

Error code on failure

Definition at line 298 of file bspline.hpp.

References gsl::sf::mathieu::a(), gsl::sf::mathieu::b(), and gsl::bspline::workspace::get().

nbreak()

size_t gsl::bspline::nbreak ( workspace &  w )

inline

C++ version of gsl_bspline_nbreak().

Parameters

w	A gsl::bspline::workspace

Returns

The number of breaks

Definition at line 262 of file bspline.hpp.

References gsl::bspline::workspace::get().

Referenced by gsl::bspline::workspace::workspace().

ncoeffs()

size_t gsl::bspline::ncoeffs ( workspace &  w )

inline

C++ version of gsl_bspline_ncoeffs().

Parameters

w	A gsl::bspline::workspace

Returns

The number of B-spline coefficients

Definition at line 248 of file bspline.hpp.

References gsl::bspline::workspace::get().

order()

size_t gsl::bspline::order ( workspace &  w )

inline

C++ version of gsl_bspline_order().

Parameters

w	A gsl::bspline::workspace

Returns

The order of the B-spline

Definition at line 255 of file bspline.hpp.

References gsl::bspline::workspace::get().

Referenced by gsl::sf::mathieu::a(), gsl::sf::mathieu::a_coeff(), gsl::sf::mathieu::a_e(), gsl::sf::mathieu::b(), gsl::sf::mathieu::b_coeff(), gsl::sf::mathieu::b_e(), gsl::sf::mathieu::ce(), gsl::sf::mathieu::ce_e(), gsl::filter::gaussian(), gsl::filter::gaussian_kernel(), gsl::sf::mathieu::Mc(), gsl::sf::mathieu::Mc_e(), gsl::sf::mathieu::Ms(), gsl::sf::mathieu::Ms_e(), gsl::sf::mathieu::se(), and gsl::sf::mathieu::se_e().