s2let_tiling.h File Reference

#include <ssht/ssht.h>

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Macros
#define	PI   3.141592653589793238462643383279502884197

Functions
void	s2let_switch_wavtype (int typenum)
int	s2let_bandlimit (int j, const s2let_parameters_t *parameters)
int	s2let_L0 (int j, const s2let_parameters_t *parameters)
int	s2let_j_max (const s2let_parameters_t *parameters)
void	s2let_tiling_axisym_allocate (double **kappa, double **kappa0, const s2let_parameters_t *parameters)
void	s2let_tiling_axisym (double *kappa, double *kappa0, const s2let_parameters_t *parameters)
void	s2let_tiling_direction_allocate (S2LET_COMPLEX(double) **s_elm, const s2let_parameters_t *parameters)
void	s2let_tiling_direction (S2LET_COMPLEX(double) *s_elm, const s2let_parameters_t *parameters)
void	s2let_tiling_wavelet_allocate (S2LET_COMPLEX(double) **psi, double **phi, const s2let_parameters_t *parameters)
void	s2let_tiling_wavelet (S2LET_COMPLEX(double) *psi, double *phi, const s2let_parameters_t *parameters)
double	s2let_tiling_axisym_check_identity (double *kappa, double *kappa0, const s2let_parameters_t *parameters)
double	s2let_tiling_direction_check_identity (S2LET_COMPLEX(double) *s_elm, const s2let_parameters_t *parameters)
double	s2let_tiling_wavelet_check_identity (S2LET_COMPLEX(double) *psi, double *phi, const s2let_parameters_t *parameters)

Macro Definition Documentation

PI

#define PI   3.141592653589793238462643383279502884197

Function Documentation

s2let_bandlimit()

int s2let_bandlimit	(	int	j,
		const s2let_parameters_t *	parameters
	)

Computes band-limit of a specific wavelet scale.

Parameters

[in]	j	Wavelet scale.
[in]	parameters	A parameters object with (at least) the following fields: B, L, J_min

Return values

band-limit

s2let_j_max()

int s2let_j_max

(

const s2let_parameters_t *

parameters

)

Computes needlet maximum level required to ensure exact reconstruction.

Parameters

[in]

parameters

A parameters object with (at least) the following fields: B, L

Return values

j_max

s2let_L0()

int s2let_L0	(	int	j,
		const s2let_parameters_t *	parameters
	)

Computes the minimum harmonic index supported by the given wavelet scale.

Parameters

[in]	j	Wavelet scale.
[in]	parameters	A parameters object with (at least) the following fields: B

Return values

el_min

s2let_switch_wavtype()

void s2let_switch_wavtype

(

int

typenum

)

Switch to different wavelet type.

Parameters

[in]

typenum

Integer: 1 for scale-discretised, 2 for needlets and 3 for spline wavelets.

Return values

none

s2let_tiling_axisym()

void s2let_tiling_axisym	(	double *	kappa,
		double *	kappa0,
		const s2let_parameters_t *	parameters
	)

Generates axisymmetric tiling in harmonic space.

Parameters

[out]	kappa	Kernel functions for the wavelets.
[out]	kappa0	Kernel for the scaling function.
[in]	parameters	A parameters object with (at least) the following fields: B, L, J_min

Return values

none

s2let_tiling_axisym_allocate()

void s2let_tiling_axisym_allocate	(	double **	kappa,
		double **	kappa0,
		const s2let_parameters_t *	parameters
	)

Allocates axisymmetric tiling kernels in harmonic space.

Parameters

[out]	kappa	Kernel functions for the wavelets.
[out]	kappa0	Kernel for the scaling function.
[in]	parameters	A parameters object with (at least) the following fields: B, L

Return values

none

s2let_tiling_axisym_check_identity()

double s2let_tiling_axisym_check_identity	(	double *	kappa,
		double *	kappa0,
		const s2let_parameters_t *	parameters
	)

Checks exactness of the harmonic tiling kernels by checking the admissibility condition.

Parameters

[in]	kappa	Kernel functions for the wavelets.
[in]	kappa0	Kernel for the scaling function.
[in]	parameters	A parameters object with (at least) the following fields: B, L, J_min

Return values

Achieved

accuracy (should be lower than e-14).

s2let_tiling_direction()

void s2let_tiling_direction	(	S2LET_COMPLEX(double) *	s_elm,
		const s2let_parameters_t *	parameters
	)

s2let_tiling_direction_allocate()

void s2let_tiling_direction_allocate	(	S2LET_COMPLEX(double) **	s_elm,
		const s2let_parameters_t *	parameters
	)

s2let_tiling_direction_check_identity()

double s2let_tiling_direction_check_identity	(	S2LET_COMPLEX(double) *	s_elm,
		const s2let_parameters_t *	parameters
	)

s2let_tiling_wavelet()

void s2let_tiling_wavelet	(	S2LET_COMPLEX(double) *	psi,
		double *	phi,
		const s2let_parameters_t *	parameters
	)

s2let_tiling_wavelet_allocate()

void s2let_tiling_wavelet_allocate	(	S2LET_COMPLEX(double) **	psi,
		double **	phi,
		const s2let_parameters_t *	parameters
	)

s2let_tiling_wavelet_check_identity()

double s2let_tiling_wavelet_check_identity	(	S2LET_COMPLEX(double) *	psi,
		double *	phi,
		const s2let_parameters_t *	parameters
	)