s2let_test.c File Reference

#include "s2let.h"
#include <ssht/ssht.h>
#include <assert.h>
#include <complex.h>
#include <stdlib.h>
#include <math.h>
#include <time.h>
#include <so3/so3.h>

Include dependency graph for s2let_test.c:

Functions
void	s2let_tiling_axisym_test (int B, int L, int J_min)
void	s2let_tiling_direction_test (int L, int N)
void	s2let_tiling_wavelet_test (int B, int L, int J_min, int N, int spin)
void	s2let_binomial_coefficient_test (int n_max)
void	s2let_transform_axisym_lm_wav_test (int B, int L, int J_min, int seed)
void	s2let_transform_axisym_lm_wav_multires_test (int B, int L, int J_min, int seed)
void	s2let_wav_transform_wavlm_manual_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_transform_harmonic_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_transform_harmonic_multires_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_transform_axisym_wav_test (int B, int L, int J_min, int seed)
void	s2let_transform_axisym_wav_real_test (int B, int L, int J_min, int seed)
void	s2let_transform_axisym_wav_multires_test (int B, int L, int J_min, int seed)
void	s2let_transform_axisym_wav_multires_real_test (int B, int L, int J_min, int seed)
void	s2let_wav_transform_mw_test (int B, int L, int J_min, int N, int spin, int seed)
complex double	s2let_dot_product_complex (complex double *v1, complex double *v2, int N_length)
complex double	s2let_dot_product_real (double *v1, double *v2, int N_length)
void	s2let_wav_analysis_adjoint_lm_lmn_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_synthesis_adjoint_lm_lmn_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_analysis_adjoint_mw_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_analysis_adjoint_mw_real_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_synthesis_adjoint_lm2wav_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_synthesis_adjoint_mw_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_synthesis_adjoint_mw_real_test (int B, int L, int J_min, int N, int spin, int seed)
void	so3_test_gen_flmn_complex (complex double *flmn, const so3_parameters_t *parameters, int seed)
void	s2let_wav_so3_forward_adjoint_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_transform_mw_real_test (int B, int L, int J_min, int N, int seed)
void	s2let_wav_transform_mw_multires_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_transform_mw_multires_real_test (int B, int L, int J_min, int N, int seed)
void	s2let_wav_transform_mwss_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_transform_mwss_real_test (int B, int L, int J_min, int N, int seed)
void	s2let_wav_transform_mwss_multires_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_transform_mwss_multires_real_test (int B, int L, int J_min, int N, int seed)
void	s2let_wav_transform_lm2wav_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_transform_lm2wav_real_test (int B, int L, int J_min, int N, int seed)
void	s2let_wav_transform_lm2wav_multires_test (int B, int L, int J_min, int N, int spin, int seed)
void	s2let_wav_transform_lm2wav_multires_real_test (int B, int L, int J_min, int N, int seed)
void	s2let_transform_axisym_vs_directional_mw_test (B, L, J_min, seed)
void	s2let_transform_axisym_vs_directional_mw_multires_test (B, L, J_min, seed)
void	s2let_transform_performance_test (int B, int J_min, int NREPEAT, int NSCALE, int seed)
void	s2let_transform_performance_multires_test (int B, int J_min, int NREPEAT, int NSCALE, int seed)
void	s2let_transform_lm_performance_test (int B, int J_min, int NREPEAT, int NSCALE, int seed)
void	s2let_transform_lm_performance_multires_test (int B, int J_min, int NREPEAT, int NSCALE, int seed)
int	main (int argc, char *argv[])

Function Documentation

main()

int main	(	int	argc,
		char *	argv[]
	)

s2let_binomial_coefficient_test()

void s2let_binomial_coefficient_test

(

int

n_max

)

s2let_dot_product_complex()

complex double s2let_dot_product_complex	(	complex double *	v1,
		complex double *	v2,
		int	N_length
	)

s2let_dot_product_real()

complex double s2let_dot_product_real	(	double *	v1,
		double *	v2,
		int	N_length
	)

s2let_tiling_axisym_test()

void s2let_tiling_axisym_test	(	int	B,
		int	L,
		int	J_min
	)

Test the identity relation of the wavelet tiling in harmonic space.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.

Return values

none

s2let_tiling_direction_test()

void s2let_tiling_direction_test	(	int	L,
		int	N
	)

Test the identity relation of the directionality components for the wavelet tiling in harmonic space.

Parameters

[in]	L	Angular harmonic band-limit.
[in]	N	Azimuthal band-limit.

Return values

none

s2let_tiling_wavelet_test()

void s2let_tiling_wavelet_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin
	)

Test the identity relation of the directional wavelets for the wavelet tiling in harmonic space.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.

Return values

none

s2let_transform_axisym_lm_wav_multires_test()

void s2let_transform_axisym_lm_wav_multires_test	(	int	B,
		int	L,
		int	J_min,
		int	seed
	)

Test the exactness of the multiresolution wavelet transform in harmonic space.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	seed	Random seed.

Return values

none

s2let_transform_axisym_lm_wav_test()

void s2let_transform_axisym_lm_wav_test	(	int	B,
		int	L,
		int	J_min,
		int	seed
	)

Test the exactness of the full resolution wavelet transform in harmonic space.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	seed	Random seed.

Return values

none

s2let_transform_axisym_vs_directional_mw_multires_test()

void s2let_transform_axisym_vs_directional_mw_multires_test	(	B	,
		L	,
		J_min	,
		seed
	)

Test that the directional multi-resolution algorithms reduce to the axisymmetric ones, provided spin = 0, N = 1

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	seed	Random seed.

Return values

none

s2let_transform_axisym_vs_directional_mw_test()

void s2let_transform_axisym_vs_directional_mw_test	(	B	,
		L	,
		J_min	,
		seed
	)

Test that the directional algorithms reduce to the axisymmetric ones, provided spin = 0, N = 1

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	seed	Random seed.

Return values

none

s2let_transform_axisym_wav_multires_real_test()

void s2let_transform_axisym_wav_multires_real_test	(	int	B,
		int	L,
		int	J_min,
		int	seed
	)

Test the exactness of the multiresolution wavelet transform in real space for real functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	seed	Random seed.

Return values

none

s2let_transform_axisym_wav_multires_test()

void s2let_transform_axisym_wav_multires_test	(	int	B,
		int	L,
		int	J_min,
		int	seed
	)

Test the exactness of the multiresolution wavelet transform in real space for complex functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	seed	Random seed.

Return values

none

s2let_transform_axisym_wav_real_test()

void s2let_transform_axisym_wav_real_test	(	int	B,
		int	L,
		int	J_min,
		int	seed
	)

Test the exactness of the full resolution wavelet transform in real space for real functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	seed	Random seed.

Return values

none

s2let_transform_axisym_wav_test()

void s2let_transform_axisym_wav_test	(	int	B,
		int	L,
		int	J_min,
		int	seed
	)

Test the exactness of the full resolution wavelet transform in real space for complex functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	seed	Random seed.

Return values

none

s2let_transform_lm_performance_multires_test()

void s2let_transform_lm_performance_multires_test	(	int	B,
		int	J_min,
		int	NREPEAT,
		int	NSCALE,
		int	seed
	)

s2let_transform_lm_performance_test()

void s2let_transform_lm_performance_test	(	int	B,
		int	J_min,
		int	NREPEAT,
		int	NSCALE,
		int	seed
	)

s2let_transform_performance_multires_test()

void s2let_transform_performance_multires_test	(	int	B,
		int	J_min,
		int	NREPEAT,
		int	NSCALE,
		int	seed
	)

s2let_transform_performance_test()

void s2let_transform_performance_test	(	int	B,
		int	J_min,
		int	NREPEAT,
		int	NSCALE,
		int	seed
	)

s2let_wav_analysis_adjoint_lm_lmn_test()

void s2let_wav_analysis_adjoint_lm_lmn_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the full resolution directional wavelet transform in pixel space for complex functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_analysis_adjoint_mw_real_test()

void s2let_wav_analysis_adjoint_mw_real_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

s2let_wav_analysis_adjoint_mw_test()

void s2let_wav_analysis_adjoint_mw_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

s2let_wav_so3_forward_adjoint_test()

void s2let_wav_so3_forward_adjoint_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

s2let_wav_synthesis_adjoint_lm2wav_test()

void s2let_wav_synthesis_adjoint_lm2wav_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

s2let_wav_synthesis_adjoint_lm_lmn_test()

void s2let_wav_synthesis_adjoint_lm_lmn_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the full resolution directional wavelet transform in pixel space for complex functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_synthesis_adjoint_mw_real_test()

void s2let_wav_synthesis_adjoint_mw_real_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

s2let_wav_synthesis_adjoint_mw_test()

void s2let_wav_synthesis_adjoint_mw_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

s2let_wav_transform_harmonic_multires_test()

void s2let_wav_transform_harmonic_multires_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the multi-resolution directional wavelet transform in harmonic space.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_harmonic_test()

void s2let_wav_transform_harmonic_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the full resolution directional wavelet transform in harmonic space.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_lm2wav_multires_real_test()

void s2let_wav_transform_lm2wav_multires_real_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	seed
	)

Test the exactness of the multi-resolution directional wavelet transform in pixel space for real functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_lm2wav_multires_test()

void s2let_wav_transform_lm2wav_multires_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the multi-resolution directional wavelet transform in pixel space for complex functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_lm2wav_real_test()

void s2let_wav_transform_lm2wav_real_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	seed
	)

Test the exactness of the full resolution directional wavelet transform in pixel space for real functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_lm2wav_test()

void s2let_wav_transform_lm2wav_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the full resolution directional harmonic-to-wavelet transform in pixel space for complex functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_mw_multires_real_test()

void s2let_wav_transform_mw_multires_real_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	seed
	)

Test the exactness of the multi-resolution directional wavelet transform in pixel space for real functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_mw_multires_test()

void s2let_wav_transform_mw_multires_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the multi-resolution directional wavelet transform in pixel space for complex functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_mw_real_test()

void s2let_wav_transform_mw_real_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	seed
	)

Test the exactness of the full resolution directional wavelet transform in pixel space for real functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_mw_test()

void s2let_wav_transform_mw_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the full resolution directional wavelet transform in pixel space for complex functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_mwss_multires_real_test()

void s2let_wav_transform_mwss_multires_real_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	seed
	)

Test the exactness of the multi-resolution directional wavelet transform in pixel space for real functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_mwss_multires_test()

void s2let_wav_transform_mwss_multires_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the multi-resolution directional wavelet transform in pixel space for complex functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_mwss_real_test()

void s2let_wav_transform_mwss_real_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	seed
	)

Test the exactness of the full resolution directional wavelet transform in pixel space for real functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_mwss_test()

void s2let_wav_transform_mwss_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the full resolution directional wavelet transform in pixel space for complex functions.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

s2let_wav_transform_wavlm_manual_test()

void s2let_wav_transform_wavlm_manual_test	(	int	B,
		int	L,
		int	J_min,
		int	N,
		int	spin,
		int	seed
	)

Test the exactness of the multiresolution, manual tiling directional wavelet transform in harmonic space.

Parameters

[in]	B	Wavelet parameter.
[in]	L	Angular harmonic band-limit.
[in]	J_min	First wavelet scale to be used.
[in]	N	Azimuthal band-limit.
[in]	spin	Spin number.
[in]	seed	Random seed.

Return values

none

so3_test_gen_flmn_complex()

void so3_test_gen_flmn_complex	(	complex double *	flmn,
		const so3_parameters_t *	parameters,
		int	seed
	)