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#include <stdlib.h>
#include <complex.h>
#include <math.h>
#include "util.h"
#include "nfft3.h"
#include "fastsum.h"
Go to the source code of this file.
Functions | |
double | fak (int n) |
factorial | |
double | binom (int n, int m) |
binomial coefficient | |
double | BasisPoly (int m, int r, double xx) |
basis polynomial for regularized kernel | |
double | regkern (complex(*kernel)(double, int, const double *), double xx, int p, const double *param, double a, double b) |
regularized kernel with K_I arbitrary and K_B smooth to zero | |
double | regkern1 (complex(*kernel)(double, int, const double *), double xx, int p, const double *param, double a, double b) |
regularized kernel with K_I arbitrary and K_B periodized (used in 1D) | |
double | regkern2 (complex(*kernel)(double, int, const double *), double xx, int p, const double *param, double a, double b) |
regularized kernel for even kernels with K_I even and K_B mirrored | |
double | regkern3 (complex(*kernel)(double, int, const double *), double xx, int p, const double *param, double a, double b) |
regularized kernel for even kernels with K_I even and K_B mirrored smooth to K(1/2) (used in dD, d>1) | |
double | kubintkern (double x, double *Add, int Ad, double a) |
cubic spline interpolation in near field with even kernels | |
double | kubintkern1 (double x, double *Add, int Ad, double a) |
cubic spline interpolation in near field with arbitrary kernels | |
void | quicksort (int d, int t, double *x, complex *alpha, int N) |
quicksort algorithm for source knots and associated coefficients | |
void | BuildTree (int d, int t, double *x, complex *alpha, int N) |
recursive sort of source knots dimension by dimension to get tree structure | |
complex | SearchTree (int d, int t, double *x, complex *alpha, double *xmin, double *xmax, int N, complex(*kernel)(double, int, const double *), const double *param, int Ad, double *Add, int p, unsigned flags) |
fast search in tree of source knots for near field computation | |
void | fastsum_init_guru (fastsum_plan *ths, int d, int N_total, int M_total, complex(*kernel)(), double *param, unsigned flags, int nn, int m, int p, double eps_I, double eps_B) |
initialization of fastsum plan | |
void | fastsum_finalize (fastsum_plan *ths) |
finalization of fastsum plan | |
void | fastsum_exact (fastsum_plan *ths) |
direct computation of sums | |
void | fastsum_precompute (fastsum_plan *ths) |
precomputation for fastsum | |
void | fastsum_trafo (fastsum_plan *ths) |
fast NFFT-based summation |
Definition in file fastsum.c.