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Modules | |
fastsum_matlab | |
fastsum_test | |
Data Structures | |
struct | fastsum_plan_ |
plan for fast summation algorithm More... | |
Defines | |
#define | EXACT_NEARFIELD (1U<< 0) |
Constant symbols. | |
Typedefs | |
typedef fastsum_plan_ | fastsum_plan |
plan for fast summation algorithm | |
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 double(*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 double(*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 double(*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 double(*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 double *alpha, int N) |
quicksort algorithm for source knots and associated coefficients | |
void | BuildTree (int d, int t, double *x, complex double *alpha, int N) |
recursive sort of source knots dimension by dimension to get tree structure | |
complex double | SearchTree (int d, int t, double *x, complex double *alpha, double *xmin, double *xmax, int N, complex double(*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 double(*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 | |
complex double | gaussian (double x, int der, const double *param) |
complex double | multiquadric (double x, int der, const double *param) |
complex double | inverse_multiquadric (double x, int der, const double *param) |
complex double | logarithm (double x, int der, const double *param) |
complex double | thinplate_spline (double x, int der, const double *param) |
complex double | one_over_square (double x, int der, const double *param) |
complex double | one_over_modulus (double x, int der, const double *param) |
complex double | one_over_x (double x, int der, const double *param) |
complex double | inverse_multiquadric3 (double x, int der, const double *param) |
complex double | sinc_kernel (double x, int der, const double *param) |
complex double | cosc (double x, int der, const double *param) |
complex double | cot (double x, int der, const double *param) |
complex | one_over_cube (double x, int der, const double *param) |
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initialization of fastsum plan
Definition at line 370 of file fastsum.c. References EXACT_NEARFIELD, FFT_OUT_OF_PLACE, FFTW_INIT, MALLOC_F, MALLOC_F_HAT, MALLOC_X, nfft_init_guru(), PRE_PHI_HUT, and PRE_PSI. Referenced by fields_fastsum_init(). |
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finalization of fastsum plan
Definition at line 436 of file fastsum.c. References EXACT_NEARFIELD, and nfft_finalize(). Referenced by fields_fastsum_finalize(). |
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direct computation of sums
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precomputation for fastsum
Definition at line 480 of file fastsum.c. References BuildTree(), EXACT_NEARFIELD, nfft_fftshift_complex(), nfft_precompute_full_psi(), nfft_precompute_lin_psi(), nfft_precompute_psi(), PRE_FULL_PSI, PRE_LIN_PSI, PRE_PSI, regkern1(), and regkern3(). Referenced by fields_fastsum_precompute(), and fields_fastsum_simple(). |
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fast NFFT-based summation
Definition at line 563 of file fastsum.c. References nfft_adjoint(), nfft_trafo(), and SearchTree(). Referenced by fields_fastsum_simple(). |