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/*
* Basis sets for pseudospectral methods
* Copyright (C) 2016 Anton Khirnov <anton@khirnov.net>
*
* 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, see <http://www.gnu.org/licenses/>.
*/
#ifndef MS_BASIS_H
#define MS_BASIS_H
/* a set of basis functions */
typedef struct BasisSet {
/* evaluate the idx-th basis function at the specified point*/
double (*eval) (double coord, int idx);
/* evaluate the first derivative of the idx-th basis function at the specified point*/
double (*eval_diff1)(double coord, int idx);
/* evaluate the second derivative of the idx-th basis function at the specified point*/
double (*eval_diff2)(double coord, int idx);
/**
* Get the idx-th collocation point for the specified order.
* idx runs from 0 to order - 1 (inclusive)
*/
double (*colloc_point)(int order, int idx);
} BasisSet;
extern const BasisSet ms_cheb_basis;
extern const BasisSet ms_cheb_even_basis;
extern const BasisSet ms_full_basis;
extern const BasisSet ms_tb_even_basis;
extern const BasisSet ms_sb_even_basis;
extern const BasisSet ms_sb_odd_basis;
extern const BasisSet ms_tl_basis;
extern const BasisSet ms_cos_even_basis;
#define SCALE_FACTOR scale_factor
extern double scale_factor;
#endif /* MS_BASIS_H */
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