From c600ebcb67961fe6007ba41fd5ad987da3af7f6e Mon Sep 17 00:00:00 2001 From: Brijeshcr Date: Thu, 6 Jul 2017 15:48:47 +0530 Subject: Revert "LinearAlgebra Function Added" --- 2.3-1/thirdparty/includes/GSL/gsl/gsl_chebyshev.h | 133 ++++++++++++++++++++++ 1 file changed, 133 insertions(+) create mode 100644 2.3-1/thirdparty/includes/GSL/gsl/gsl_chebyshev.h (limited to '2.3-1/thirdparty/includes/GSL/gsl/gsl_chebyshev.h') diff --git a/2.3-1/thirdparty/includes/GSL/gsl/gsl_chebyshev.h b/2.3-1/thirdparty/includes/GSL/gsl/gsl_chebyshev.h new file mode 100644 index 00000000..858048e4 --- /dev/null +++ b/2.3-1/thirdparty/includes/GSL/gsl/gsl_chebyshev.h @@ -0,0 +1,133 @@ +/* cheb/gsl_chebyshev.h + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman + * + * 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_CHEBYSHEV_H__ +#define __GSL_CHEBYSHEV_H__ + +#include +#include + +#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 + + +/* data for a Chebyshev series over a given interval */ + +struct gsl_cheb_series_struct { + + double * c; /* coefficients */ + size_t order; /* order of expansion */ + double a; /* lower interval point */ + double b; /* upper interval point */ + + /* The following exists (mostly) for the benefit + * of the implementation. It is an effective single + * precision order, for use in single precision + * evaluation. Users can use it if they like, but + * only they know how to calculate it, since it is + * specific to the approximated function. By default, + * order_sp = order. + * It is used explicitly only by the gsl_cheb_eval_mode + * functions, which are not meant for casual use. + */ + size_t order_sp; + + /* Additional elements not used by specfunc */ + + double * f; /* function evaluated at chebyschev points */ +}; +typedef struct gsl_cheb_series_struct gsl_cheb_series; + + +/* Calculate a Chebyshev series of specified order over + * a specified interval, for a given function. + * Return 0 on failure. + */ +gsl_cheb_series * gsl_cheb_alloc(const size_t order); + +/* Free a Chebyshev series previously calculated with gsl_cheb_alloc(). + */ +void gsl_cheb_free(gsl_cheb_series * cs); + +/* Calculate a Chebyshev series using the storage provided. + * Uses the interval (a,b) and the order with which it + * was initially created. + * + */ +int gsl_cheb_init(gsl_cheb_series * cs, const gsl_function * func, + const double a, const double b); + +/* Return the order, size of coefficient array and coefficient array ptr */ +size_t gsl_cheb_order (const gsl_cheb_series * cs); +size_t gsl_cheb_size (const gsl_cheb_series * cs); +double *gsl_cheb_coeffs (const gsl_cheb_series * cs); + +/* Evaluate a Chebyshev series at a given point. + * No errors can occur for a struct obtained from gsl_cheb_new(). + */ +double gsl_cheb_eval(const gsl_cheb_series * cs, const double x); +int gsl_cheb_eval_err(const gsl_cheb_series * cs, const double x, + double * result, double * abserr); + + +/* Evaluate a Chebyshev series at a given point, to (at most) the given order. + * No errors can occur for a struct obtained from gsl_cheb_new(). + */ +double gsl_cheb_eval_n(const gsl_cheb_series * cs, const size_t order, + const double x); +int gsl_cheb_eval_n_err(const gsl_cheb_series * cs, const size_t order, + const double x, double * result, double * abserr); + + +/* Evaluate a Chebyshev series at a given point, using the default + * order for double precision mode(s) and the single precision + * order for other modes. + * No errors can occur for a struct obtained from gsl_cheb_new(). + */ +double gsl_cheb_eval_mode(const gsl_cheb_series * cs, const double x, gsl_mode_t mode); +int gsl_cheb_eval_mode_e(const gsl_cheb_series * cs, const double x, gsl_mode_t mode, double * result, double * abserr); + + + +/* Compute the derivative of a Chebyshev series. + */ +int gsl_cheb_calc_deriv(gsl_cheb_series * deriv, const gsl_cheb_series * cs); + +/* Compute the integral of a Chebyshev series. The + * integral is fixed by the condition that it equals zero at + * the left end-point, ie it is precisely + * Integrate[cs(t; a,b), {t, a, x}] + */ +int gsl_cheb_calc_integ(gsl_cheb_series * integ, const gsl_cheb_series * cs); + + + + +__END_DECLS + +#endif /* __GSL_CHEBYSHEV_H__ */ -- cgit