qpms/qpms/translations.h

90 lines
3.8 KiB
C

#ifndef QPMS_TRANSLATIONS_H
#define QPMS_TRANSLATIONS_H
#include "vectors.h"
#include "qpms_types.h"
#include <complex.h>
#include <stdbool.h>
#include <stddef.h>
// Associated Legendre polynomial at zero argument (DLMF 14.5.1)
double qpms_legendre0(int m, int n);
// Associated Legendre polynomial derivative at zero argument (DLMF 14.5.2)
double qpms_legendred0(int m, int n);
int qpms_sph_bessel_array(qpms_bessel_t typ, int lmax, double x, complex double *result_array);
// TODO replace the xplicit "Taylor" functions with general,
// taking qpms_bessel_t argument.
complex double qpms_trans_single_A_Taylor(int m, int n, int mu, int nu, sph_t kdlj,
bool r_ge_d, qpms_bessel_t J);
complex double qpms_trans_single_B_Taylor(int m, int n, int mu, int nu, sph_t kdlj,
bool r_ge_d, qpms_bessel_t J);
complex double qpms_trans_single_A_Taylor_ext(int m, int n, int mu, int nu, double kdlj_r,
double kdlj_th, double kdlj_phi, int r_ge_d, int J);
complex double qpms_trans_single_B_Taylor_ext(int m, int n, int mu, int nu, double kdlj_r,
double kdlj_th, double kdlj_phi, int r_ge_d, int J);
typedef struct qpms_trans_calculator {
int lMax;
size_t nelem;
complex double **A_multipliers;
complex double **B_multipliers;
qpms_normalization_t normalization;
} qpms_trans_calculator;
qpms_trans_calculator *qpms_trans_calculator_init(int lMax, qpms_normalization_t nt);
void qpms_trans_calculator_free(qpms_trans_calculator *);
complex double qpms_trans_calculator_get_A(const qpms_trans_calculator *c,
int m, int n, int mu, int nu, sph_t kdlj,
bool r_ge_d, qpms_bessel_t J);
complex double qpms_trans_calculator_get_B(const qpms_trans_calculator *c,
int m, int n, int mu, int nu, sph_t kdlj,
bool r_ge_d, qpms_bessel_t J);
complex double qpms_trans_calculator_get_A_ext(const qpms_trans_calculator *c,
int m, int n, int mu, int nu, double kdlj_r,
double kdlj_th, double kdlj_phi, int r_ge_d, int J);
complex double qpms_trans_calculator_get_B_ext(const qpms_trans_calculator *c,
int m, int n, int mu, int nu, double kdlj_r,
double kdlj_th, double kdlj_phi, int r_ge_d, int J);
int qpms_trans_calculator_get_AB_p(const qpms_trans_calculator *c,
complex double *Adest, complex double *Bdest,
int m, int n, int mu, int nu, sph_t kdlj,
bool r_ge_d, qpms_bessel_t J);
int qpms_trans_calculator_get_AB_p_ext(const qpms_trans_calculator *c,
complex double *Adest, complex double *Bdest,
int m, int n, int mu, int nu, double kdlj_r,
double kdlj_th, double kdlj_phi, int r_ge_d, int J);
int qpms_trans_calculator_get_AB_arrays(const qpms_trans_calculator *c,
complex double *Adest, complex double *Bdest,
size_t deststride, size_t srcstride,
sph_t kdlj, bool r_ge_d, qpms_bessel_t J);
int qpms_trans_calculator_get_AB_arrays_ext(const qpms_trans_calculator *c,
complex double *Adest, complex double *Bdest,
size_t deststride, size_t srcstride,
double kdlj_r, double kdlj_theta, double kdlj_phi,
int r_ge_d, int J);
#ifdef QPMS_COMPILE_PYTHON_EXTENSIONS
#include <Python.h>
#include <numpy/npy_common.h>
int qpms_cython_trans_calculator_get_AB_arrays_loop(
const qpms_trans_calculator *c, qpms_bessel_t J, const int resnd,
int daxis, int saxis,
char *A_data, const npy_intp *A_shape, const npy_intp *A_strides,
char *B_data, const npy_intp *B_shape, const npy_intp *B_strides,
const char *r_data, const npy_intp *r_shape, const npy_intp *r_strides,
const char *theta_data, const npy_intp *theta_shape, const npy_intp *theta_strides,
const char *phi_data, const npy_intp *phi_shape, const npy_intp *phi_strides,
const char *r_ge_d_data, const npy_intp *r_ge_d_shape, const npy_intp *r_ge_d_strides);
#endif //QPMS_COMPILE_PYTHON_EXTENSIONS
#endif // QPMS_TRANSLATIONS_H