flag_spherbessel.c File Reference

#include "flag.h"
#include <math.h>
#include <stdlib.h>
#include <complex.h>
#include <gsl/gsl_math.h>
#include <gsl/gsl_sf.h>

Go to the source code of this file.

Functions
void	flag_spherlaguerre2spherbessel (double *flk, const double *fn, double *kvalues, int Nk, int N, int ell, double tau)
void	flag_fourierlaguerre2fourierbessel (complex double *flmk, complex double *flmn, double *kvalues, int Nk, int N, int L, double tau)
void	flag_sbesselslag (double *sbesselslag, int ell, double *kvalues, int Nk, int N, double tau)
void	flag_mulk (double *mulk, int n, int ell, double k, double tau)
void	bubbleSort (double numbers[], int array_size)
void	flag_sbesselslag_backup (double *sbesselslag, int ell, double *kvalues, int Nk, int N, double tau)
void	flag_sbesselslag_backup2 (double *sbesselslag, int ell, double *kvalues, int Nk, int N, double tau)
void	flag_sbesselslag_backup3 (double *sbesselslag, int ell, double *kvalues, int Nk, int N, double tau)

Function Documentation

void bubbleSort	(	double	numbers[],
		int	array_size
	)

Definition at line 253 of file flag_spherbessel.c.

void flag_fourierlaguerre2fourierbessel	(	complex double *	flmk,
		complex double *	flmn,
		double *	kvalues,
		int	Nk,
		int	N,
		int	L,
		double	tau
	)

Compute the Fourier-Bessel transform from the Fourier-Laguerre transform.

Parameters

[out]	flmk	Output Fourier-Bessel transform.
[in]	flmn	Spherical Laguerre transform of some 3D field f.
[in]	kvalues	k scales on which the transform is performed.
[in]	Nk	Number of scales in the array kvalues.
[in]	N	Radial harmonic band-limit.
[in]	L	Angular harmonic band-limit.
[in]	tau	SLAG rescaling factor.

Return values

none

Definition at line 55 of file flag_spherbessel.c.

void flag_mulk	(	double *	mulk,
		int	n,
		int	ell,
		double	k,
		double	tau
	)

TODO TODO TODO TODO TODO TODO

Definition at line 180 of file flag_spherbessel.c.

void flag_sbesselslag	(	double *	sbesselslag,
		int	ell,
		double *	kvalues,
		int	Nk,
		int	N,
		double	tau
	)

Compute SLAG transform of spherical Bessel function j_ell.

Parameters

[out]	sbesselslag	Output transform in SLAG space.
[in]	ell	ell order of the spherical Bessel function.
[in]	kvalues	k scales on which the transform is performed.
[in]	Nk	Number of scales in the array kvalues.
[in]	N	Harmonic band-limit.
[in]	tau	SLAG rescaling factor.

Return values

none

Definition at line 71 of file flag_spherbessel.c.

void flag_sbesselslag_backup	(	double *	sbesselslag,
		int	ell,
		double *	kvalues,
		int	Nk,
		int	N,
		double	tau
	)

Definition at line 273 of file flag_spherbessel.c.

void flag_sbesselslag_backup2	(	double *	sbesselslag,
		int	ell,
		double *	kvalues,
		int	Nk,
		int	N,
		double	tau
	)

Compute SLAG transform of spherical Bessel function j_ell.

Parameters

[out]	sbesselslag	Output transform in SLAG space.
[in]	ell	ell order of the spherical Bessel function.
[in]	kvalues	k scales on which the transform is performed.
[in]	Nk	Number of scales in the array kvalues.
[in]	N	Harmonic band-limit.
[in]	tau	SLAG rescaling factor.

Return values

none

Definition at line 351 of file flag_spherbessel.c.

void flag_sbesselslag_backup3	(	double *	sbesselslag,
		int	ell,
		double *	kvalues,
		int	Nk,
		int	N,
		double	tau
	)

Definition at line 457 of file flag_spherbessel.c.

void flag_spherlaguerre2spherbessel	(	double *	flk,
		const double *	fn,
		double *	kvalues,
		int	Nk,
		int	N,
		int	ell,
		double	tau
	)

Compute the ell-th order spherical Bessel transform from the SLAG transform.

Parameters

[out]	flk	Output transform in spherical Bessel space.
[in]	fn	Spherical Laguerre transform of some field f.
[in]	kvalues	k scales on which the transform is performed.
[in]	Nk	Number of scales in the array kvalues.
[in]	N	Harmonic band-limit.
[in]	ell	ell order of the spherical Bessel function.
[in]	tau	SLAG rescaling factor.

Return values

none

Definition at line 25 of file flag_spherbessel.c.