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/* bspline/gsl_bspline.h
*
* Copyright (C) 2006 Patrick Alken
* Copyright (C) 2008 Rhys Ulerich
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
#ifndef __GSL_BSPLINE_H__
#define __GSL_BSPLINE_H__
#include <stdlib.h>
#include <gsl/gsl_math.h>
#include <gsl/gsl_vector.h>
#include <gsl/gsl_matrix.h>
#undef __BEGIN_DECLS
#undef __END_DECLS
#ifdef __cplusplus
# define __BEGIN_DECLS extern "C" {
# define __END_DECLS }
#else
# define __BEGIN_DECLS /* empty */
# define __END_DECLS /* empty */
#endif
__BEGIN_DECLS
typedef struct
{
size_t k; /* spline order */
size_t km1; /* k - 1 (polynomial order) */
size_t l; /* number of polynomial pieces on interval */
size_t nbreak; /* number of breakpoints (l + 1) */
size_t n; /* number of bspline basis functions (l + k - 1) */
gsl_vector *knots; /* knots vector */
gsl_vector *deltal; /* left delta */
gsl_vector *deltar; /* right delta */
gsl_vector *B; /* temporary spline results */
/* bspline derivative parameters */
gsl_matrix *A; /* work matrix */
gsl_matrix *dB; /* temporary derivative results */
} gsl_bspline_workspace;
#ifndef GSL_DISABLE_DEPRECATED
typedef struct
{
size_t k; /* spline order */
gsl_matrix *A; /* work matrix */
gsl_matrix *dB; /* temporary derivative results */
} gsl_bspline_deriv_workspace;
gsl_bspline_deriv_workspace *gsl_bspline_deriv_alloc(const size_t k);
void gsl_bspline_deriv_free(gsl_bspline_deriv_workspace *w);
#endif /* !GSL_DISABLE_DEPRECATED */
gsl_bspline_workspace *
gsl_bspline_alloc(const size_t k, const size_t nbreak);
void gsl_bspline_free(gsl_bspline_workspace *w);
size_t gsl_bspline_ncoeffs(gsl_bspline_workspace * w);
size_t gsl_bspline_order(gsl_bspline_workspace * w);
size_t gsl_bspline_nbreak(gsl_bspline_workspace * w);
double gsl_bspline_breakpoint(size_t i, gsl_bspline_workspace * w);
double gsl_bspline_greville_abscissa(size_t i, gsl_bspline_workspace *w);
int
gsl_bspline_knots(const gsl_vector *breakpts, gsl_bspline_workspace *w);
int gsl_bspline_knots_uniform(const double a, const double b,
gsl_bspline_workspace *w);
int
gsl_bspline_knots_greville(const gsl_vector *abscissae,
gsl_bspline_workspace *w,
double *abserr);
int
gsl_bspline_eval(const double x, gsl_vector *B,
gsl_bspline_workspace *w);
int
gsl_bspline_eval_nonzero(const double x,
gsl_vector *Bk,
size_t *istart,
size_t *iend,
gsl_bspline_workspace *w);
int
gsl_bspline_deriv_eval(const double x,
const size_t nderiv,
gsl_matrix *dB,
gsl_bspline_workspace *w);
int
gsl_bspline_deriv_eval_nonzero(const double x,
const size_t nderiv,
gsl_matrix *dB,
size_t *istart,
size_t *iend,
gsl_bspline_workspace *w);
__END_DECLS
#endif /* __GSL_BSPLINE_H__ */
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