30#ifndef FNFT__KDV_DISCRETIZATION_H
31#define FNFT__KDV_DISCRETIZATION_H
335#ifdef FNFT_ENABLE_SHORT_NAMES
336#define kdv_discretization_degree(...) fnft__kdv_discretization_degree(__VA_ARGS__)
337#define kdv_discretization_boundary_coeff(...) fnft__kdv_discretization_boundary_coeff(__VA_ARGS__)
338#define kdv_discretization_to_akns_discretization(...) fnft__kdv_discretization_to_akns_discretization(__VA_ARGS__)
339#define kdv_discretization_upsampling_factor(...) fnft__kdv_discretization_upsampling_factor(__VA_ARGS__)
340#define kdv_discretization_method_order(...) fnft__kdv_discretization_method_order(__VA_ARGS__)
341#define kdv_discretization_lambda_to_z(...) fnft__kdv_discretization_lambda_to_z(__VA_ARGS__)
342#define kdv_discretization_z_to_lambda(...) fnft__kdv_discretization_z_to_lambda(__VA_ARGS__)
343#define kdv_discretization_phase_factor_rho(...) fnft__kdv_discretization_phase_factor_rho(__VA_ARGS__)
344#define kdv_discretization_phase_factor_a(...) fnft__kdv_discretization_phase_factor_a(__VA_ARGS__)
345#define kdv_discretization_phase_factor_b(...) fnft__kdv_discretization_phase_factor_b(__VA_ARGS__)
346#define kdv_discretization_preprocess_signal(...) fnft__kdv_discretization_preprocess_signal(__VA_ARGS__)
347#define kdv_discretization_method_weights(...) fnft__kdv_discretization_method_weights(__VA_ARGS__)
348#define kdv_discretization_change_of_basis_matrix_to_S(...) fnft__kdv_discretization_change_of_basis_matrix_to_S(__VA_ARGS__)
349#define kdv_discretization_change_of_basis_matrix_from_S(...) fnft__kdv_discretization_change_of_basis_matrix_from_S(__VA_ARGS__)
350#define kdv_discretization_vanilla_flag(...) fnft__kdv_discretization_vanilla_flag(__VA_ARGS__)
351#define kdv_slow_discretization(...) fnft__kdv_slow_discretization (__VA_ARGS__))
Properties of the discretizations for the Korteweg-de Vries equation.
FNFT_INT fnft__kdv_discretization_change_of_basis_matrix_to_S(FNFT_COMPLEX *const T, FNFT_COMPLEX const xi, FNFT_UINT const derivative_flag, FNFT_REAL const eps_t, fnft_kdv_discretization_t const kdv_discretization)
This routine returns the change of basis matrix from the basis of the discretization to S.
FNFT_INT fnft__kdv_discretization_change_of_basis_matrix_from_S(FNFT_COMPLEX *const T, FNFT_COMPLEX const xi, FNFT_UINT const derivative_flag, FNFT_REAL const eps_t, fnft_kdv_discretization_t const kdv_discretization)
This routine returns the change of basis matrix from the S basis to the basis of the discretization.
FNFT_INT fnft__kdv_slow_discretization(fnft_kdv_discretization_t *const kdv_discretization_ptr)
This routine returns the slow discretization to use for the calculation of the discrete spectrum....
FNFT_INT fnft__kdv_discretization_vanilla_flag(FNFT_UINT *const vanilla_flag, fnft_kdv_discretization_t const kdv_discretization)
This routine tells for discretizations in AKNS basis whether they use r=-1 (vanilla) or q=-1 (not van...
Miscellaneous functions used in the FNFT library.
Lists discretizations for the Korteweg-de Vries equation.
fnft_kdv_discretization_t
Enum that specifies discretizations and methods used to compute nonlinear Fourier transforms for the ...
Definition fnft_kdv_discretization_t.h:116
fnft__akns_discretization_t
Enum that specifies discretizations used to compute nonlinear Fourier transforms of systems that fit ...
Definition fnft__akns_discretization_t.h:104
FNFT_INT fnft__kdv_discretization_phase_factor_b(const FNFT_REAL eps_t, const FNFT_UINT D, FNFT_REAL const *const T, FNFT_REAL *const phase_factor_b, fnft_kdv_discretization_t kdv_discretization)
This routine returns the phase factor for b coefficient. It is required for applying boundary conditi...
FNFT_INT fnft__kdv_discretization_preprocess_signal(const FNFT_UINT D, FNFT_COMPLEX const *const q, FNFT_REAL const eps_t, const FNFT_INT kappa, FNFT_UINT *const Dsub_ptr, FNFT_COMPLEX **q_preprocessed_ptr, FNFT_COMPLEX **r_preprocessed_ptr, FNFT_UINT *const first_last_index, fnft_kdv_discretization_t kdv_discretization)
This routine preprocesses the signal by resampling and subsampling based on the discretization....
FNFT_INT fnft__kdv_discretization_method_weights(FNFT_COMPLEX **qr_weights_ptr, FNFT_COMPLEX **eps_t_weights_ptr, fnft_kdv_discretization_t const kdv_discretization)
This routine computes various weights required by some methods based on the discretization.
FNFT_UINT fnft__kdv_discretization_method_order(fnft_kdv_discretization_t kdv_discretization)
This routine returns the order of the method based on the discretization.
FNFT_INT fnft__kdv_discretization_to_akns_discretization(fnft_kdv_discretization_t kdv_discretization, fnft__akns_discretization_t *const akns_discretization)
This routine returns akns discretization related to the given kdv discretization.
FNFT_INT fnft__kdv_discretization_phase_factor_a(const FNFT_REAL eps_t, const FNFT_UINT D, FNFT_REAL const *const T, FNFT_REAL *const phase_factor_a, fnft_kdv_discretization_t kdv_discretization)
This routine returns the phase factor for a coefficient. It is required for applying boundary conditi...
FNFT_REAL fnft__kdv_discretization_boundary_coeff(fnft_kdv_discretization_t kdv_discretization)
This routine returns the boundary coefficient based on the discretization.
FNFT_INT fnft__kdv_discretization_z_to_lambda(const FNFT_UINT n, const FNFT_REAL eps_t, FNFT_COMPLEX *const vals, fnft_kdv_discretization_t kdv_discretization)
This routine maps from the discrete-time domain to in the continuous-time domain based on the discr...
FNFT_UINT fnft__kdv_discretization_degree(fnft_kdv_discretization_t kdv_discretization)
This routine returns the max degree of the polynomials in a single scattering matrix or zero if the ...
FNFT_INT fnft__kdv_discretization_lambda_to_z(const FNFT_UINT n, const FNFT_REAL eps_t, FNFT_COMPLEX *const vals, fnft_kdv_discretization_t kdv_discretization)
This routine maps from continuous-time domain to in the discrete-time domain based on the discretiz...
FNFT_UINT fnft__kdv_discretization_upsampling_factor(fnft_kdv_discretization_t kdv_discretization)
This routine returns the scaling for effective number of samples based on the discretization.
FNFT_INT fnft__kdv_discretization_phase_factor_rho(const FNFT_REAL eps_t, const FNFT_REAL T1, FNFT_REAL *const phase_factor_rho, fnft_kdv_discretization_t kdv_discretization)
This routine returns the phase factor for reflection coefficient ( ). It is required for applying bou...
size_t FNFT_UINT
Definition fnft_numtypes.h:62
double complex FNFT_COMPLEX
Definition fnft_numtypes.h:47
int32_t FNFT_INT
Definition fnft_numtypes.h:56
double FNFT_REAL
Definition fnft_numtypes.h:40