|
3.2.3 |
Data Structures | |
| struct | nfsft_wisdom |
| Wisdom structure. More... | |
Macros | |
| #define | BWEXP_MAX 10 |
| #define | BW_MAX 1024 |
| #define | ROW(k) (k*(wisdom.N_MAX+2)) |
| #define | ROWK(k) (k*(wisdom.N_MAX+2)+k) |
| #define | NFSFT_DEFAULT_NFFT_CUTOFF 6 |
| The default NFFT cutoff parameter. | |
| #define | NFSFT_DEFAULT_THRESHOLD 1000 |
| The default threshold for the FPT. | |
| #define | NFSFT_BREAK_EVEN 5 |
The break-even bandwidth . | |
Enumerations | |
| enum | bool { false = 0, true = 1 } |
Functions | |
| void | alpha_al_row (R *alpha, const int N, const int n) |
| void | beta_al_row (R *beta, const int N, const int n) |
| void | gamma_al_row (R *gamma, const int N, const int n) |
| void | alpha_al_all (R *alpha, const int N) |
Compute three-term-recurrence coefficients of associated Legendre functions for . | |
| void | beta_al_all (R *beta, const int N) |
Compute three-term-recurrence coefficients of associated Legendre functions for . | |
| void | gamma_al_all (R *gamma, const int N) |
Compute three-term-recurrence coefficients of associated Legendre functions for . | |
| 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. | |
| 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 threshold. | |
| static void | c2e (nfsft_plan *plan) |
Converts coefficients with , from a linear combination of Chebyshev polynomials
to coefficients
| |
| static void | c2e_transposed (nfsft_plan *plan) |
| Transposed version of the function c2e. | |
| void | nfsft_init (nfsft_plan *plan, int N, int M) |
| void | nfsft_init_advanced (nfsft_plan *plan, int N, int M, unsigned int flags) |
| void | nfsft_init_guru (nfsft_plan *plan, int N, int M, unsigned int flags, unsigned int nfft_flags, int nfft_cutoff) |
| void | nfsft_precompute (int N, double kappa, unsigned int nfsft_flags, unsigned int fpt_flags) |
| void | nfsft_forget (void) |
| void | nfsft_finalize (nfsft_plan *plan) |
| void | nfsft_trafo_direct (nfsft_plan *plan) |
| void | nfsft_adjoint_direct (nfsft_plan *plan) |
| void | nfsft_trafo (nfsft_plan *plan) |
| void | nfsft_adjoint (nfsft_plan *plan) |
| void | nfsft_precompute_x (nfsft_plan *plan) |
Variables | |
| static struct nfsft_wisdom | wisdom = {false,0U,-1,-1,0,0,0,0,0} |
| The global wisdom structure for precomputed data. | |
| #define NFSFT_DEFAULT_NFFT_CUTOFF 6 |
| #define NFSFT_DEFAULT_THRESHOLD 1000 |
|
inline |
Compute three-term-recurrence coefficients
of associated Legendre functions for
.
where the coefficients will be stored such that alpha[n+(N+1)+k] =
.
. Definition at line 91 of file legendre.c.
|
inline |
Compute three-term-recurrence coefficients
of associated Legendre functions for
.
where the coefficients will be stored such that beta[n+(N+1)+k] =
.
. Definition at line 100 of file legendre.c.
|
inline |
Compute three-term-recurrence coefficients
of associated Legendre functions for
.
where the coefficients will be stored such that gamma[n+(N+1)+k] =
.
. Definition at line 109 of file legendre.c.
| 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 at line 118 of file legendre.c.
| 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 threshold.
Definition at line 163 of file legendre.c.
|
inlinestatic |
Converts coefficients
with
,
from a linear combination of Chebyshev polynomials
to coefficients
matching the representation by complex exponentials
for each order
.
nfsft_plan containing the coefficients 
Definition at line 111 of file nfsft.c.
References nfsft_plan::f_hat_intern, and nfsft_plan::N.
|
inlinestatic |
Transposed version of the function c2e.
nfsft_plan containing the coefficients 
Definition at line 189 of file nfsft.c.
References nfsft_plan::f_hat, and nfsft_plan::N.
|
static |