#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "s2let.h"

Include dependency graph for s2let_tiling.c:

Enumerations
enum	s2let_kernel_type { S2DW, NEEDLET, SPLINE }

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_phi2_s2dw (double phi2, const s2let_parameters_t parameters)

void	s2let_tiling_phi2_needlet (double phi2, const s2let_parameters_t parameters)

void	s2let_tiling_phi2_spline (double phi2, const s2let_parameters_t parameters)

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

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

void	s2let_tiling_direction (complex double s_elm, const s2let_parameters_t parameters)

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

void	s2let_tiling_wavelet (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 (complex double s_elm, const s2let_parameters_t parameters)

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

Variables
s2let_kernel_type	s2let_kernel = S2DW

Enumeration Type Documentation

◆ s2let_kernel_type

enum s2let_kernel_type

Enumerator
S2DW
NEEDLET
SPLINE

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	(	complex double *	s_elm,
		const s2let_parameters_t *	parameters
	)

Generates the harmonic coefficients for the directionality component of the tiling functions. This implementation is based on equation (11) in the wavelet computation paper.

Parameters

[out]	s_elm	Harmonic coefficienets of directionality components.
[in]	parameters	A parameters object with (at least) the following fields: L, N spin

◆ s2let_tiling_direction_allocate()

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

Allocates space for directionality components in harmonic space.

Parameters

[out]	s_elm	Pointer to allocated space for harmonic coefficients of directionality components.
[in]	parameters	A parameters object with (at least) the following fields: L, N

Return values

none

◆ s2let_tiling_direction_check_identity()

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

Checks exactness of the directionality components by checking the admissibility condition.

Parameters

[in]	s_elm	Harmonic coefficients of directionality components.
[in]	parameters	A parameters object with (at least) the following fields: L, N

Return values

Achieved accuracy (should be lower than e-14).

◆ s2let_tiling_phi2_needlet()

void s2let_tiling_phi2_needlet	(	double *	phi2,
		const s2let_parameters_t *	parameters
	)

◆ s2let_tiling_phi2_s2dw()

void s2let_tiling_phi2_s2dw	(	double *	phi2,
		const s2let_parameters_t *	parameters
	)

◆ s2let_tiling_phi2_spline()

void s2let_tiling_phi2_spline	(	double *	phi2,
		const s2let_parameters_t *	parameters
	)

◆ s2let_tiling_wavelet()

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

Generates the harmonic coefficients for the directional tiling wavelets. This implementation is based on equation (7) in the wavelet computation paper.

Parameters

[out]	psi	Harmonic coefficienets of directional wavelets.
[out]	phi	Harmonic coefficienets of scaling function.
[in]	parameters	A parameters object with (at least) the following fields: B, L, J_min N spin original_spin

◆ s2let_tiling_wavelet_allocate()

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

Allocates space for directional wavelets in harmonic space.

Parameters

[out]	psi	Pointer to allocated space for harmonic coefficients of directional wavelets.
[out]	phi	Pointer to allocated space for harmonic coefficients of scaling function.
[in]	parameters	A parameters object with (at least) the following fields: B L, N

Return values

none

◆ s2let_tiling_wavelet_check_identity()

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

Checks exactness of the directional wavelets by checking the admissibility condition.

Parameters

[in]	psi	Harmonic coefficients of directional wavelets.
[in]	phi	Harmonic coefficients of scaling function.
[in]	parameters	A parameters object with (at least) the following fields: B, L, J_min N spin

Return values

Achieved accuracy (should be lower than e-14).

Variable Documentation

◆ s2let_kernel

s2let_kernel_type s2let_kernel = S2DW

Enumerations

Functions

Variables

Enumeration Type Documentation

◆ s2let_kernel_type

Function Documentation

◆ s2let_bandlimit()

◆ s2let_j_max()

◆ s2let_L0()

◆ s2let_switch_wavtype()

◆ s2let_tiling_axisym()

◆ s2let_tiling_axisym_allocate()

◆ s2let_tiling_axisym_check_identity()

◆ s2let_tiling_direction()

◆ s2let_tiling_direction_allocate()

◆ s2let_tiling_direction_check_identity()

◆ s2let_tiling_phi2_needlet()

◆ s2let_tiling_phi2_s2dw()

◆ s2let_tiling_phi2_spline()

◆ s2let_tiling_wavelet()

◆ s2let_tiling_wavelet_allocate()

◆ s2let_tiling_wavelet_check_identity()

Variable Documentation

◆ s2let_kernel