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wigner.h
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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
26 #ifndef WIGNER_H
27 #define WIGNER_H
28
37 double SO3_alpha(int k, int m, int l);
46 double SO3_beta(int k, int m, int l);
55 double SO3_gamma(int k, int m, int l);
65 void SO3_alpha_row(double *alpha, int N, int m, int n);
75 void SO3_beta_row(double *beta, int N, int m, int n);
85 void SO3_gamma_row(double *gamma, int N, int m, int n);
95 void SO3_alpha_matrix(double *alpha, int N, int n);
105 void SO3_beta_matrix(double *beta, int N, int n);
115 void SO3_gamma_matrix(double *gamma, int N, int n);
116
125 void SO3_alpha_all(double *alpha, int N);
134 void SO3_beta_all(double *beta, int N);
143 void SO3_gamma_all(double *gamma, int N);
144
160 void eval_wigner(double *x, double *y, int size, int l, double *alpha,
161 double *beta, double *gamma);
178 int eval_wigner_thresh(double *x, double *y, int size, int l, double *alpha,
179 double *beta, double *gamma, double threshold);
180
193 double wigner_start(int n1, int n2, double theta);
194
195 #endif
wigner_start
double wigner_start(int n1, int n2, double theta)
A method used for debugging, gives the values to start the "old" three-term recurrence generates WHE...
Definition: wigner.c:317
SO3_gamma_row
void SO3_gamma_row(double *gamma, int N, int m, int n)
Compute three-term-recurrence coefficients of Wigner-d functions for all degrees ...
Definition: wigner.c:104
SO3_gamma_matrix
void SO3_gamma_matrix(double *gamma, int N, int n)
Compute three-term-recurrence coefficients of Wigner-d functions for all order and degrees ...
Definition: wigner.c:142
SO3_alpha_all
void SO3_alpha_all(double *alpha, int N)
Compute three-term-recurrence coefficients of Wigner-d functions for all and .
Definition: wigner.c:158
SO3_beta_row
void SO3_beta_row(double *beta, int N, int m, int n)
Compute three-term-recurrence coefficients of Wigner-d functions for all degrees ...
Definition: wigner.c:96
SO3_alpha_matrix
void SO3_alpha_matrix(double *alpha, int N, int n)
Compute three-term-recurrence coefficients of Wigner-d functions for all order and degrees ...
Definition: wigner.c:114
SO3_gamma_all
void SO3_gamma_all(double *gamma, int N)
Compute three-term-recurrence coefficients of Wigner-d functions for all and .
Definition: wigner.c:198
SO3_alpha
double SO3_alpha(int k, int m, int l)
Computes three-term recurrence coefficients of Wigner-d functions.
Definition: wigner.c:25
SO3_beta
double SO3_beta(int k, int m, int l)
Computes three-term recurrence coefficients of Wigner-d functions.
Definition: wigner.c:52
SO3_gamma
double SO3_gamma(int k, int m, int l)
Computes three-term recurrence coefficients of Wigner-d functions.
Definition: wigner.c:73
SO3_alpha_row
void SO3_alpha_row(double *alpha, int N, int m, int n)
Compute three-term-recurrence coefficients of Wigner-d functions for all degrees ...
Definition: wigner.c:88
SO3_beta_matrix
void SO3_beta_matrix(double *beta, int N, int n)
Compute three-term-recurrence coefficients of Wigner-d functions for all order and degrees ...
Definition: wigner.c:128
SO3_beta_all
void SO3_beta_all(double *beta, int N)
Compute three-term-recurrence coefficients of Wigner-d functions for all and .
Definition: wigner.c:181
eval_wigner_thresh
int eval_wigner_thresh(double *x, double *y, int size, int l, double *alpha, double *beta, double *gamma, double threshold)
Evaluates Wigner-d functions using the Clenshaw-algorithm if it not exceeds a given threshold...
Definition: wigner.c:260
eval_wigner
void eval_wigner(double *x, double *y, int size, int l, double *alpha, double *beta, double *gamma)
Evaluates Wigner-d functions using the Clenshaw-algorithm.
Definition: wigner.c:215