NcmFftlogSBesselJLJM: NumCosmo Reference Manual

NcmFftlogSBesselJLJM

NcmFftlogSBesselJLJM — Logarithm fast fourier transform for the base kernel for angular projections.

Functions

NcmFftlogSBesselJLJM *	ncm_fftlog_sbessel_jljm_new ()
void	ncm_fftlog_sbessel_jljm_set_ell ()
gint	ncm_fftlog_sbessel_jljm_get_ell ()
void	ncm_fftlog_sbessel_jljm_set_dell ()
gint	ncm_fftlog_sbessel_jljm_get_dell ()
void	ncm_fftlog_sbessel_jljm_set_q ()
gdouble	ncm_fftlog_sbessel_jljm_get_q ()
void	ncm_fftlog_sbessel_jljm_set_lnw ()
gdouble	ncm_fftlog_sbessel_jljm_get_lnw ()
void	ncm_fftlog_sbessel_jljm_set_best_lnr0 ()
void	ncm_fftlog_sbessel_jljm_set_best_lnk0 ()

Properties

int	dell	Read / Write / Construct
int	ell	Read / Write / Construct
double	lnw	Read / Write / Construct

Types and Values

#define	NCM_TYPE_FFTLOG_SBESSEL_JLJM
	NcmFftlogSBesselJLJM

Object Hierarchy

    GObject
    ╰── NcmFftlog
        ╰── NcmFftlogSBesselJLJM

Description

This object computes the function (see NcmFftlog) $$Y_n = \int_0^\infty t^{\frac{2\pi i n}{L}} K(t) dt,$$ where the kernel are the product of spherical bessel function of the first kind $K(t) = t^q j_{\ell}(t r) j_{\ell+\delta\ell}(t / r)$, where $\delta\ell = m - l$.

Functions

ncm_fftlog_sbessel_jljm_new ()

NcmFftlogSBesselJLJM *
ncm_fftlog_sbessel_jljm_new (gint ell,
                             gint dell,
                             gdouble lnw,
                             gdouble lnr0,
                             gdouble lnk0,
                             gdouble Lk,
                             guint N);

Creates a new fftlog Spherical Bessel $j_\ell(xr) j_{\ell+\delta\ell}(x/r)$ object.

Parameters

ell	Spherical Bessel Integer order
dell	Spherical Bessel Integer order
lnw	log-scale difference $\ln(r)$
lnr0	output center $\ln(r_0)$
lnk0	input center $\ln(k_0)$
Lk	input/output interval size
N	number of knots

Returns

a new NcmFftlogSBesselJLJM.

[transfer full]

ncm_fftlog_sbessel_jljm_set_ell ()

void
ncm_fftlog_sbessel_jljm_set_ell (NcmFftlogSBesselJLJM *fftlog_jljm,
                                 const gint ell);

Sets ell as the Spherical Bessel integer order $\ell$.

Parameters

fftlog_jljm	a NcmFftlogSBesselJLJM
ell	Spherical Bessel integer order $\ell$

ncm_fftlog_sbessel_jljm_get_ell ()

gint
ncm_fftlog_sbessel_jljm_get_ell (NcmFftlogSBesselJLJM *fftlog_jljm);

Parameters

fftlog_jljm

a NcmFftlogSBesselJLJM

Returns

the current Spherical Bessel integer order $\ell$.

ncm_fftlog_sbessel_jljm_set_dell ()

void
ncm_fftlog_sbessel_jljm_set_dell (NcmFftlogSBesselJLJM *fftlog_jljm,
                                  const gint dell);

Sets dell as the Spherical Bessel integer order $\delta\ell$.

Parameters

fftlog_jljm	a NcmFftlogSBesselJLJM
dell	Spherical Bessel integer order $\dell$

ncm_fftlog_sbessel_jljm_get_dell ()

gint
ncm_fftlog_sbessel_jljm_get_dell (NcmFftlogSBesselJLJM *fftlog_jljm);

Parameters

fftlog_jljm

a NcmFftlogSBesselJLJM

Returns

the current Spherical Bessel integer order $\delta\ell$.

ncm_fftlog_sbessel_jljm_set_q ()

void
ncm_fftlog_sbessel_jljm_set_q (NcmFftlogSBesselJLJM *fftlog_jljm,
                               const gdouble q);

Sets q as the Spherical Bessel power $q$.

Parameters

fftlog_jljm	a NcmFftlogSBesselJLJM
q	Spherical Bessel power factor $q$

ncm_fftlog_sbessel_jljm_get_q ()

gdouble
ncm_fftlog_sbessel_jljm_get_q (NcmFftlogSBesselJLJM *fftlog_jljm);

Parameters

fftlog_jljm

a NcmFftlogSBesselJLJM

Returns

the current Spherical Bessel power $q$.

ncm_fftlog_sbessel_jljm_set_lnw ()

void
ncm_fftlog_sbessel_jljm_set_lnw (NcmFftlogSBesselJLJM *fftlog_jljm,
                                 const gdouble lnw);

Sets lnw as the Spherical Bessel log-scale difference $\ln(w)$.

Parameters

fftlog_jljm	a NcmFftlogSBesselJLJM
lnw	Spherical Bessel log-scale difference $\ln(w)$

ncm_fftlog_sbessel_jljm_get_lnw ()

gdouble
ncm_fftlog_sbessel_jljm_get_lnw (NcmFftlogSBesselJLJM *fftlog_jljm);

Parameters

fftlog_jljm

a NcmFftlogSBesselJLJM

Returns

the current Spherical Bessel power $\ln(w)$.

ncm_fftlog_sbessel_jljm_set_best_lnr0 ()

void
ncm_fftlog_sbessel_jljm_set_best_lnr0 (NcmFftlogSBesselJLJM *fftlog_jljm);

Sets the value of $\ln(r_0)$ which gives the best results for the transformation based on the current value of $\ln(k_0)$, this is based in the rule of thumb $\mathrm{max}_{x^*}(j_l)$ where $ x^* \approx l + 1$.

Parameters

fftlog_jljm

a NcmFftlogSBesselJLJM

ncm_fftlog_sbessel_jljm_set_best_lnk0 ()

void
ncm_fftlog_sbessel_jljm_set_best_lnk0 (NcmFftlogSBesselJLJM *fftlog_jljm);

Sets the value of $\ln(k_0)$ which gives the best results for the transformation based on the current value of $\ln(r_0)$, this is based in the rule of thumb $\mathrm{max}_{x^*}(j_l)$ where $ x^* \approx l + 1$.

Parameters

fftlog_jljm

a NcmFftlogSBesselJLJM

Types and Values

NCM_TYPE_FFTLOG_SBESSEL_JLJM

#define NCM_TYPE_FFTLOG_SBESSEL_JLJM (ncm_fftlog_sbessel_jljm_get_type ())