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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(*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 | |
| complex | gaussian (double x, int der, const double *param) |
| complex | multiquadric (double x, int der, const double *param) |
| complex | inverse_multiquadric (double x, int der, const double *param) |
| complex | logarithm (double x, int der, const double *param) |
| complex | thinplate_spline (double x, int der, const double *param) |
| complex | one_over_square (double x, int der, const double *param) |
| complex | one_over_modulus (double x, int der, const double *param) |
| complex | one_over_x (double x, int der, const double *param) |
| complex | inverse_multiquadric3 (double x, int der, const double *param) |
| complex | sinc_kernel (double x, int der, const double *param) |
| complex | cosc (double x, int der, const double *param) |
| complex | cot (double x, int der, const double *param) |
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initialization of fastsum plan inner boundary outer boundary init spline for near field computation init d-dimensional NFFT plan init d-dimensional FFTW plan Definition at line 370 of file fastsum.c. References fastsum_plan_::Ad, fastsum_plan_::Add, fastsum_plan_::alpha, fastsum_plan_::b, fastsum_plan_::d, fastsum_plan_::eps_B, fastsum_plan_::eps_I, EXACT_NEARFIELD, fastsum_plan_::f, FFT_OUT_OF_PLACE, fastsum_plan_::fft_plan, FFTW_INIT, fastsum_plan_::flags, fastsum_plan_::kernel, fastsum_plan_::kernel_param, fastsum_plan_::M_total, MALLOC_F, MALLOC_F_HAT, MALLOC_X, fastsum_plan_::mv1, fastsum_plan_::mv2, fastsum_plan_::n, fastsum_plan_::N_total, nfft_init_guru(), fastsum_plan_::p, PRE_PHI_HUT, PRE_PSI, fastsum_plan_::x, and fastsum_plan_::y. Referenced by main(). |
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finalization of fastsum plan
Definition at line 436 of file fastsum.c. References fastsum_plan_::Add, fastsum_plan_::alpha, fastsum_plan_::b, EXACT_NEARFIELD, fastsum_plan_::f, fastsum_plan_::fft_plan, fastsum_plan_::flags, fastsum_plan_::mv1, fastsum_plan_::mv2, nfft_finalize(), fastsum_plan_::x, and fastsum_plan_::y. Referenced by main(). |
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direct computation of sums
Definition at line 454 of file fastsum.c. References fastsum_plan_::alpha, fastsum_plan_::d, fastsum_plan_::f, fastsum_plan_::kernel, fastsum_plan_::kernel_param, fastsum_plan_::x, and fastsum_plan_::y. Referenced by main(). |
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fast NFFT-based summation limits for d-dimensional near field box first step of algorithm second step of algorithm third step of algorithm add near field Definition at line 563 of file fastsum.c. References fastsum_plan_::Ad, fastsum_plan_::Add, fastsum_plan_::alpha, fastsum_plan_::b, fastsum_plan_::d, fastsum_plan_::eps_I, nfft_plan::f, fastsum_plan_::f, nfft_plan::f_hat, fastsum_plan_::flags, fastsum_plan_::kernel, fastsum_plan_::kernel_param, fastsum_plan_::mv1, fastsum_plan_::mv2, fastsum_plan_::N_total, nfft_adjoint(), nfft_trafo(), fastsum_plan_::p, SearchTree(), fastsum_plan_::x, and fastsum_plan_::y. Referenced by main(). |