NFFT  3.4.1
legendre.h
1 /*
2  * Copyright (c) 2002, 2017 Jens Keiner, Stefan Kunis, Daniel Potts
3  *
4  * This program is free software; you can redistribute it and/or modify it under
5  * the terms of the GNU General Public License as published by the Free Software
6  * Foundation; either version 2 of the License, or (at your option) any later
7  * version.
8  *
9  * This program is distributed in the hope that it will be useful, but WITHOUT
10  * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
11  * FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
12  * details.
13  *
14  * You should have received a copy of the GNU General Public License along with
15  * this program; if not, write to the Free Software Foundation, Inc., 51
16  * Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
17  */
18 
27 #ifndef LEGENDRE_H
28 #define LEGENDRE_H
29 
30 #include "infft.h"
31 
36 void alpha_al_row(R *alpha, const int N, const int n);
37 void beta_al_row(R *beta, const int N, const int n);
38 void gamma_al_row(R *gamma, const int N, const int n);
39 
49 void alpha_al_all(R *alpha, const int N);
50 
60 void beta_al_all(R *beta, const int N);
61 
71 void gamma_al_all(R *gamma, const int N);
72 
88 void eval_al(R *x, R *y, const int size, const int k, R *alpha,
89  R *beta, R *gamma);
90 
107 int eval_al_thresh(R *x, R *y, const int size, const int k, R *alpha,
108  R *beta, R *gamma, R threshold);
109 /* \} */
110 #endif
void alpha_al_all(R *alpha, const int N)
Compute three-term-recurrence coefficients of associated Legendre functions for .
Definition: legendre.c:89
int eval_al_thresh(R *x, R *y, const int size, const int k, R *alpha, R *beta, R *gamma, R threshold)
Evaluates an associated Legendre polynomials using the Clenshaw-algorithm if it no exceeds a given t...
Definition: legendre.c:161
void beta_al_all(R *beta, const int N)
Compute three-term-recurrence coefficients of associated Legendre functions for .
Definition: legendre.c:98
void gamma_al_all(R *gamma, const int N)
Compute three-term-recurrence coefficients of associated Legendre functions for .
Definition: legendre.c:107
void eval_al(R *x, R *y, const int size, const int k, R *alpha, R *beta, R *gamma)
Evaluates an associated Legendre polynomials using the Clenshaw-algorithm.
Definition: legendre.c:116