so3_core.h File Reference

#include "ssht.h"
#include <complex.h>

Go to the source code of this file.

Functions

void so3_core_inverse_via_ssht (complex double *f, const complex double *flmn, const so3_parameters_t *parameters)
void so3_core_forward_via_ssht (complex double *flmn, const complex double *f, const so3_parameters_t *parameters)
void so3_core_inverse_via_ssht_real (double *f, const complex double *flmn, const so3_parameters_t *parameters)
void so3_core_forward_via_ssht_real (complex double *flmn, const double *f, const so3_parameters_t *parameters)
void so3_core_inverse_direct (complex double *f, const complex double *flmn, const so3_parameters_t *parameters)
void so3_core_forward_direct (complex double *flmn, const complex double *f, const so3_parameters_t *parameters)
void so3_core_inverse_direct_real (double *f, const complex double *flmn, const so3_parameters_t *parameters)
void so3_core_forward_direct_real (complex double *flmn, const double *f, const so3_parameters_t *parameters)

Function Documentation

void so3_core_forward_direct ( complex double *  flmn,
const complex double *  f,
const so3_parameters_t parameters 
)

Compute forward Wigner transform for a complex signal directly (without using SSHT).

Parameters:
[out] flmn Harmonic coefficients. If n_mode is different from SO3_N_MODE_ALL, this array has to be nulled before being passed to the function.
[in] f Function on sphere. Provide a buffer of size (2*L-1)*L*(2*N-1).
[in] parameters A fully populated parameters object. The reality flag is ignored. Use so3_core_forward_via_ssht_real instead for real signals.
Return values:
none 
Author:
Martin Büttner
Jason McEwen

Definition at line 1354 of file so3_core.c.

References so3_parameters_t::dl_method, so3_parameters_t::L, so3_parameters_t::L0, MAX, MIN, so3_parameters_t::N, so3_parameters_t::n_mode, so3_parameters_t::sampling_scheme, SO3_ERROR_GENERIC, SO3_ERROR_MEM_ALLOC_CHECK, SO3_N_MODE_ALL, SO3_N_MODE_EVEN, SO3_N_MODE_L, SO3_N_MODE_MAXIMUM, SO3_N_MODE_ODD, SO3_PION2, SO3_PROMPT, so3_sampling_elmn2ind(), so3_sampling_weight(), so3_parameters_t::steerable, so3_parameters_t::storage, and so3_parameters_t::verbosity.

Referenced by main().

void so3_core_forward_direct_real ( complex double *  flmn,
const double *  f,
const so3_parameters_t parameters 
)

Compute forward Wigner transform for a real signal directly (without using SSHT).

Parameters:
[out] flmn Harmonic coefficients. If n_mode is different from SO3_N_MODE_ALL, this array has to be nulled before being past to the function.
[in] f Function on sphere. Provide a buffer of size (2*L-1)*L*(2*N-1).
[in] parameters A fully populated parameters object. The reality flag is ignored. Use so3_core_forward_direct instead for complex signals.
Return values:
none 
Author:
Martin Büttner
Jason McEwen

Definition at line 2255 of file so3_core.c.

References so3_parameters_t::dl_method, so3_parameters_t::L, so3_parameters_t::L0, MIN, so3_parameters_t::N, so3_parameters_t::n_mode, so3_parameters_t::sampling_scheme, SO3_ERROR_GENERIC, SO3_ERROR_MEM_ALLOC_CHECK, SO3_N_MODE_ALL, SO3_N_MODE_EVEN, SO3_N_MODE_L, SO3_N_MODE_MAXIMUM, SO3_N_MODE_ODD, SO3_PION2, SO3_PROMPT, so3_sampling_elmn2ind_real(), so3_sampling_weight(), so3_parameters_t::steerable, so3_parameters_t::storage, and so3_parameters_t::verbosity.

Referenced by main().

void so3_core_forward_via_ssht ( complex double *  flmn,
const complex double *  f,
const so3_parameters_t parameters 
)

Compute forward Wigner transform for a complex signal via SSHT.

Parameters:
[out] flmn Harmonic coefficients. If n_mode is different from SO3_N_MODE_ALL, this array has to be nulled before being past to the function.
[in] f Function on sphere. Provide a buffer of size (2*L-1)*L*(2*N-1).
[in] parameters A fully populated parameters object. The reality flag is ignored. Use so3_core_forward_via_ssht_real instead for real signals.
Return values:
none 
Author:
Martin Büttner
Jason McEwen

Definition at line 253 of file so3_core.c.

References so3_parameters_t::dl_method, so3_parameters_t::L, so3_parameters_t::L0, MAX, so3_parameters_t::N, so3_parameters_t::n_mode, so3_parameters_t::sampling_scheme, SO3_ERROR_GENERIC, SO3_ERROR_MEM_ALLOC_CHECK, SO3_N_MODE_EVEN, SO3_N_MODE_MAXIMUM, SO3_N_MODE_ODD, SO3_PI, SO3_PROMPT, so3_sampling_elmn2ind(), SO3_SAMPLING_MW, SO3_SAMPLING_MW_SS, SO3_STORAGE_COMPACT, SO3_STORAGE_PADDED, so3_parameters_t::steerable, so3_parameters_t::storage, and so3_parameters_t::verbosity.

Referenced by main().

void so3_core_forward_via_ssht_real ( complex double *  flmn,
const double *  f,
const so3_parameters_t parameters 
)

Compute forward Wigner transform for a real signal via SSHT.

Parameters:
[out] flmn Harmonic coefficients. If n_mode is different from SO3_N_MODE_ALL, this array has to be nulled before being past to the function.
[in] f Function on sphere. Provide a buffer of size (2*L-1)*L*(2*N-1).
[in] parameters A fully populated parameters object. The reality flag is ignored. Use so3_core_forward_via_ssht instead for complex signals.
Return values:
none 
Author:
Martin Büttner
Jason McEwen

Definition at line 700 of file so3_core.c.

References so3_parameters_t::dl_method, so3_parameters_t::L, so3_parameters_t::L0, MAX, so3_parameters_t::N, so3_parameters_t::n_mode, so3_parameters_t::sampling_scheme, SO3_ERROR_GENERIC, SO3_ERROR_MEM_ALLOC_CHECK, SO3_N_MODE_EVEN, SO3_N_MODE_MAXIMUM, SO3_N_MODE_ODD, SO3_PI, SO3_PROMPT, so3_sampling_elmn2ind_real(), SO3_SAMPLING_MW, SO3_SAMPLING_MW_SS, SO3_STORAGE_COMPACT, SO3_STORAGE_PADDED, so3_parameters_t::steerable, so3_parameters_t::storage, and so3_parameters_t::verbosity.

Referenced by main().

void so3_core_inverse_direct ( complex double *  f,
const complex double *  flmn,
const so3_parameters_t parameters 
)

Compute inverse Wigner transform for a complex signal directly (without using SSHT).

Parameters:
[out] f Function on sphere. Provide a buffer of size (2*L-1)*L*(2*N-1).
[in] flmn Harmonic coefficients.
[in] parameters A fully populated parameters object. The reality flag is ignored. Use so3_core_inverse_via_ssht_real instead for real signals.
Return values:
none 
Author:
Martin Büttner
Jason McEwen

Definition at line 951 of file so3_core.c.

References so3_parameters_t::dl_method, so3_parameters_t::L, so3_parameters_t::L0, MAX, MIN, so3_parameters_t::N, so3_parameters_t::n_mode, so3_parameters_t::sampling_scheme, SO3_ERROR_GENERIC, SO3_ERROR_MEM_ALLOC_CHECK, SO3_N_MODE_ALL, SO3_N_MODE_EVEN, SO3_N_MODE_L, SO3_N_MODE_MAXIMUM, SO3_N_MODE_ODD, SO3_PI, SO3_PION2, SO3_PROMPT, so3_sampling_elmn2ind(), so3_parameters_t::steerable, so3_parameters_t::storage, and so3_parameters_t::verbosity.

Referenced by main().

void so3_core_inverse_direct_real ( double *  f,
const complex double *  flmn,
const so3_parameters_t parameters 
)

Compute inverse Wigner transform for a real signal directly (without using SSHT).

Parameters:
[out] f Function on sphere. Provide a buffer of size (2*L-1)*L*(2*N-1).
[in] flmn Harmonic coefficients for n >= 0. Note that for n = 0, these have to respect the symmetry flm0* = (-1)^(m+n)*fl-m0, and hence fl00 has to be real.
[in] parameters A fully populated parameters object. The reality flag is ignored. Use so3_core_inverse_direct instead for complex signals.
Return values:
none 
Author:
Martin Büttner
Jason McEwen

Definition at line 1850 of file so3_core.c.

References so3_parameters_t::dl_method, so3_parameters_t::L, so3_parameters_t::L0, MIN, so3_parameters_t::N, so3_parameters_t::n_mode, so3_parameters_t::sampling_scheme, SO3_ERROR_GENERIC, SO3_ERROR_MEM_ALLOC_CHECK, SO3_N_MODE_ALL, SO3_N_MODE_EVEN, SO3_N_MODE_L, SO3_N_MODE_MAXIMUM, SO3_N_MODE_ODD, SO3_PI, SO3_PION2, SO3_PROMPT, so3_sampling_elmn2ind_real(), so3_parameters_t::steerable, so3_parameters_t::storage, and so3_parameters_t::verbosity.

Referenced by main().

void so3_core_inverse_via_ssht ( complex double *  f,
const complex double *  flmn,
const so3_parameters_t parameters 
)

Compute inverse Wigner transform for a complex signal via SSHT.

Parameters:
[out] f Function on sphere. Provide a buffer of size (2*L-1)*L*(2*N-1).
[in] flmn Harmonic coefficients.
[in] parameters A fully populated parameters object. The reality flag is ignored. Use so3_core_inverse_via_ssht_real instead for real signals.
Return values:
none 
Author:
Martin Büttner
Jason McEwen

Definition at line 48 of file so3_core.c.

References so3_parameters_t::dl_method, so3_parameters_t::L, so3_parameters_t::L0, MAX, so3_parameters_t::N, so3_parameters_t::n_mode, so3_parameters_t::sampling_scheme, SO3_ERROR_GENERIC, SO3_ERROR_MEM_ALLOC_CHECK, SO3_N_MODE_EVEN, SO3_N_MODE_MAXIMUM, SO3_N_MODE_ODD, SO3_PI, SO3_PROMPT, so3_sampling_elmn2ind(), SO3_SAMPLING_MW, SO3_SAMPLING_MW_SS, SO3_STORAGE_COMPACT, SO3_STORAGE_PADDED, so3_parameters_t::steerable, so3_parameters_t::storage, and so3_parameters_t::verbosity.

Referenced by main().

void so3_core_inverse_via_ssht_real ( double *  f,
const complex double *  flmn,
const so3_parameters_t parameters 
)

Compute inverse Wigner transform for a real signal via SSHT.

Parameters:
[out] f Function on sphere. Provide a buffer of size (2*L-1)*L*(2*N-1).
[in] flmn Harmonic coefficients for n >= 0. Note that for n = 0, these have to respect the symmetry flm0* = (-1)^(m+n)*fl-m0, and hence fl00 has to be real.
[in] parameters A fully populated parameters object. The reality flag is ignored. Use so3_core_inverse_via_ssht instead for complex signals.
Return values:
none 
Author:
Martin Büttner
Jason McEwen

Definition at line 475 of file so3_core.c.

References so3_parameters_t::dl_method, so3_parameters_t::L, so3_parameters_t::L0, MAX, so3_parameters_t::N, so3_parameters_t::n_mode, so3_parameters_t::sampling_scheme, SO3_ERROR_GENERIC, SO3_ERROR_MEM_ALLOC_CHECK, SO3_N_MODE_EVEN, SO3_N_MODE_MAXIMUM, SO3_N_MODE_ODD, SO3_PI, SO3_PROMPT, so3_sampling_elmn2ind_real(), SO3_SAMPLING_MW, SO3_SAMPLING_MW_SS, SO3_STORAGE_COMPACT, SO3_STORAGE_PADDED, so3_parameters_t::steerable, so3_parameters_t::storage, and so3_parameters_t::verbosity.

Referenced by main().


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