NFFT  3.4.1
wigner.h
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1 /*
2  * Copyright (c) 2002, 2017 Jens Keiner, Stefan Kunis, Daniel Potts
3  *
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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
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
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
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
void SO3_alpha_all(double *alpha, int N)
Compute three-term-recurrence coefficients of Wigner-d functions for all and .
Definition: wigner.c:158
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
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
void SO3_gamma_all(double *gamma, int N)
Compute three-term-recurrence coefficients of Wigner-d functions for all and .
Definition: wigner.c:198
double SO3_alpha(int k, int m, int l)
Computes three-term recurrence coefficients of Wigner-d functions.
Definition: wigner.c:25
double SO3_beta(int k, int m, int l)
Computes three-term recurrence coefficients of Wigner-d functions.
Definition: wigner.c:52
double SO3_gamma(int k, int m, int l)
Computes three-term recurrence coefficients of Wigner-d functions.
Definition: wigner.c:73
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
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
void SO3_beta_all(double *beta, int N)
Compute three-term-recurrence coefficients of Wigner-d functions for all and .
Definition: wigner.c:181
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
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