s2let_transform_axisym_mw.c File Reference

#include <complex.h>
#include <math.h>
#include <ssht/ssht.h>
#include <stdlib.h>
#include "s2let.h"

Include dependency graph for s2let_transform_axisym_mw.c:

Functions
void	s2let_transform_axisym_allocate_mw_f_wav (complex double **f_wav, complex double **f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_allocate_mw_f_wav_multires (complex double **f_wav, complex double **f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_allocate_mw_f_wav_real (double **f_wav, double **f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_allocate_mw_f_wav_multires_real (double **f_wav, double **f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_analysis_mw (complex double *f_wav, complex double *f_scal, const complex double *f, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_analysis_adjoint_mw (complex double *f, const complex double *f_wav, const complex double *f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_synthesis_mw (complex double *f, const complex double *f_wav, const complex double *f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_synthesis_adjoint_mw (complex double *f_wav, complex double *f_scal, const complex double *f, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_analysis_mw_multires (complex double *f_wav, complex double *f_scal, const complex double *f, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_analysis_adjoint_mw_multires (complex double *f, const complex double *f_wav, const complex double *f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_synthesis_mw_multires (complex double *f, const complex double *f_wav, const complex double *f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_synthesis_adjoint_mw_multires (complex double *f_wav, complex double *f_scal, const complex double *f, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_analysis_mw_real (double *f_wav, double *f_scal, const double *f, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_analysis_adjoint_mw_real (double *f, const double *f_wav, const double *f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_synthesis_mw_real (double *f, const double *f_wav, const double *f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_synthesis_adjoint_mw_real (double *f_wav, double *f_scal, const double *f, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_analysis_mw_multires_real (double *f_wav, double *f_scal, const double *f, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_analysis_adjoint_mw_multires_real (double *f, const double *f_wav, const double *f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_synthesis_mw_multires_real (double *f, const double *f_wav, const double *f_scal, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_synthesis_adjoint_mw_multires_real (double *f_wav, double *f_scal, const double *f, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_hardthreshold_real (double *g_wav, const double *threshold, const s2let_parameters_t *parameters)
void	s2let_transform_axisym_wav_hardthreshold_multires_real (double *g_wav, const double *threshold, const s2let_parameters_t *parameters)

Function Documentation

s2let_transform_axisym_allocate_mw_f_wav()

void s2let_transform_axisym_allocate_mw_f_wav	(	complex double **	f_wav,
		complex double **	f_scal,
		const s2let_parameters_t *	parameters
	)

Allocates arrays for final wavelets and scaling functions in pixel space (MW sampling).

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_allocate_mw_f_wav_multires()

void s2let_transform_axisym_allocate_mw_f_wav_multires	(	complex double **	f_wav,
		complex double **	f_scal,
		const s2let_parameters_t *	parameters
	)

Allocates arrays for wavelets and scaling functions in pixel space (MW sampling).

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_allocate_mw_f_wav_multires_real()

void s2let_transform_axisym_allocate_mw_f_wav_multires_real	(	double **	f_wav,
		double **	f_scal,
		const s2let_parameters_t *	parameters
	)

Allocates arrays for multiresolution wavelets and scaling functions in pixel space (MW sampling).

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_allocate_mw_f_wav_real()

void s2let_transform_axisym_allocate_mw_f_wav_real	(	double **	f_wav,
		double **	f_scal,
		const s2let_parameters_t *	parameters
	)

Allocates arrays for final wavelets and scaling functions in pixel space (MW sampling).

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_analysis_adjoint_mw()

void s2let_transform_axisym_wav_analysis_adjoint_mw	(	complex double *	f,
		const complex double *	f_wav,
		const complex double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Perform wavelet transform adjoint in real space (from scratch, gives wavelet maps). Sampling scheme : MW sampling. Spherical wavelets : analysis adjoint in real space, MW sampling.

Parameters

[out]	f	Input function (MW sampling)
[in]	f_wav	Array of wavelets maps, MW sampling.
[in]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_analysis_adjoint_mw_multires()

void s2let_transform_axisym_wav_analysis_adjoint_mw_multires	(	complex double *	f,
		const complex double *	f_wav,
		const complex double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : multiresolution analysis adjoint in real space, MW sampling. Perform multiresolution wavelet transform adjoint in real space (from scratch, gives wavelet maps). Sampling scheme : MW sampling.

Parameters

[out]	f	Input function (MW sampling)
[in]	f_wav	Array of wavelets maps, MW sampling.
[in]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_analysis_adjoint_mw_multires_real()

void s2let_transform_axisym_wav_analysis_adjoint_mw_multires_real	(	double *	f,
		const double *	f_wav,
		const double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : multiresolution analysis adjoint in real space, MW sampling. Perform wavelet transform adjoint in real space (from scratch, gives wavelet maps). Input function is real. Sampling scheme : MW sampling.

Parameters

[out]	f	Input function (MW sampling)
[in]	f_wav	Array of wavelets maps, MW sampling.
[in]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_analysis_adjoint_mw_real()

void s2let_transform_axisym_wav_analysis_adjoint_mw_real	(	double *	f,
		const double *	f_wav,
		const double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Perform wavelet transform adjoint in real space (from scratch, gives wavelet maps). Input function is real. Sampling scheme : MW sampling. Spherical wavelets : analysis adjoint in real space, MW sampling.

Parameters

[out]	f	Input function (MW sampling)
[in]	f_wav	Array of wavelets maps, MW sampling.
[in]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_analysis_mw()

void s2let_transform_axisym_wav_analysis_mw	(	complex double *	f_wav,
		complex double *	f_scal,
		const complex double *	f,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : full resolution analysis in real space, MW sampling. Perform wavelet transform in real space (from scratch, gives wavelet maps). Sampling scheme : MW sampling.

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling..
[in]	f	Input function (MW sampling)
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_analysis_mw_multires()

void s2let_transform_axisym_wav_analysis_mw_multires	(	complex double *	f_wav,
		complex double *	f_scal,
		const complex double *	f,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : multiresolution analysis in real space, MW sampling. Perform multiresolution wavelet transform in real space (from scratch, gives wavelet maps). Sampling scheme : MW sampling.

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling.
[in]	f	Input function (MW sampling)
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_analysis_mw_multires_real()

void s2let_transform_axisym_wav_analysis_mw_multires_real	(	double *	f_wav,
		double *	f_scal,
		const double *	f,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : multiresolution analysis in real space, MW sampling. Perform multiresolution wavelet transform in real space (from scratch, gives wavelet maps). Input function is real. Sampling scheme : MW sampling.

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling.
[in]	f	Input function (MW sampling)
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_analysis_mw_real()

void s2let_transform_axisym_wav_analysis_mw_real	(	double *	f_wav,
		double *	f_scal,
		const double *	f,
		const s2let_parameters_t *	parameters
	)

Perform wavelet transform in real space (from scratch, gives wavelet maps). Input function is real. Sampling scheme : MW sampling. Spherical wavelets : analysis in real space, MW sampling.

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling.
[in]	f	Input function (MW sampling)
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_hardthreshold_multires_real()

void s2let_transform_axisym_wav_hardthreshold_multires_real	(	double *	g_wav,
		const double *	threshold,
		const s2let_parameters_t *	parameters
	)

Threshold real wavelets in real space, MW sampling, multiresolution.

Parameters

[in,out]	g_wav	Array of wavelets maps, MW sampling.
[in]	threshold	A threshold rule, i.e. a number for every scale j.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_hardthreshold_real()

void s2let_transform_axisym_wav_hardthreshold_real	(	double *	g_wav,
		const double *	threshold,
		const s2let_parameters_t *	parameters
	)

Threshold real wavelets in real space, MW sampling, full resolution.

Parameters

[in,out]	g_wav	Array of wavelets maps, MW sampling.
[in]	threshold	A threshold rule, i.e. a number for every scale j.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_synthesis_adjoint_mw()

void s2let_transform_axisym_wav_synthesis_adjoint_mw	(	complex double *	f_wav,
		complex double *	f_scal,
		const complex double *	f,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : full resolution synthesis in real space adjoint, MW sampling. Perform wavelet synthesis adjoint in real space (from scratch, gives wavelet maps). Sampling scheme : MW sampling.

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling..
[in]	f	Input function (MW sampling)
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_synthesis_adjoint_mw_multires()

void s2let_transform_axisym_wav_synthesis_adjoint_mw_multires	(	complex double *	f_wav,
		complex double *	f_scal,
		const complex double *	f,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : multiresolution synthesis adjoint in real space, MW sampling. Perform multiresolution wavelet inverse transform adjoint in real space (from scratch, gives wavelet maps). Sampling scheme : MW sampling.

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling.
[in]	f	Input function (MW sampling)
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_synthesis_adjoint_mw_multires_real()

void s2let_transform_axisym_wav_synthesis_adjoint_mw_multires_real	(	double *	f_wav,
		double *	f_scal,
		const double *	f,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : multiresolution synthesis adjoint in real space, MW sampling. Perform multiresolution wavelet inverse transform adjoint in real space (from scratch, gives wavelet maps). Input function is real. Sampling scheme : MW sampling.

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling.
[in]	f	Input function (MW sampling)
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_synthesis_adjoint_mw_real()

void s2let_transform_axisym_wav_synthesis_adjoint_mw_real	(	double *	f_wav,
		double *	f_scal,
		const double *	f,
		const s2let_parameters_t *	parameters
	)

Perform wavelet inverse transform adjoint in real space (from scratch, gives wavelet maps). Input function is real. Sampling scheme : MW sampling. Spherical wavelets : analysis in real space, MW sampling.

Parameters

[out]	f_wav	Array of wavelets maps, MW sampling.
[out]	f_scal	Scaling function map, MW sampling.
[in]	f	Input function (MW sampling)
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_synthesis_mw()

void s2let_transform_axisym_wav_synthesis_mw	(	complex double *	f,
		const complex double *	f_wav,
		const complex double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Perform wavelet transform in real space (from scratch, gives wavelet maps). Sampling scheme : MW sampling. Spherical wavelets : synthesis in real space, MW sampling.

Parameters

[out]	f	Input function (MW sampling)
[in]	f_wav	Array of wavelets maps, MW sampling.
[in]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_synthesis_mw_multires()

void s2let_transform_axisym_wav_synthesis_mw_multires	(	complex double *	f,
		const complex double *	f_wav,
		const complex double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : multiresolution synthesis in real space, MW sampling. Perform multiresolution wavelet transform in real space (from scratch, gives wavelet maps). Sampling scheme : MW sampling.

Parameters

[out]	f	Input function (MW sampling)
[in]	f_wav	Array of wavelets maps, MW sampling.
[in]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_synthesis_mw_multires_real()

void s2let_transform_axisym_wav_synthesis_mw_multires_real	(	double *	f,
		const double *	f_wav,
		const double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Spherical wavelets : multiresolution synthesis in real space, MW sampling. Perform wavelet transform in real space (from scratch, gives wavelet maps). Input function is real. Sampling scheme : MW sampling.

Parameters

[out]	f	Input function (MW sampling)
[in]	f_wav	Array of wavelets maps, MW sampling.
[in]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_transform_axisym_wav_synthesis_mw_real()

void s2let_transform_axisym_wav_synthesis_mw_real	(	double *	f,
		const double *	f_wav,
		const double *	f_scal,
		const s2let_parameters_t *	parameters
	)

Perform wavelet transform in real space (from scratch, gives wavelet maps). Input function is real. Sampling scheme : MW sampling. Spherical wavelets : synthesis in real space, MW sampling.

Parameters

[out]	f	Input function (MW sampling)
[in]	f_wav	Array of wavelets maps, MW sampling.
[in]	f_scal	Scaling function map, MW sampling.
[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none