NcHIPertWKB: NumCosmo Reference Manual

NcHIPertWKB

NcHIPertWKB — WKB perturbation object.

Functions

void	(*NcHIPertWKBGetNuV) ()
void	(*NcHIPertWKBGetMnuDmnu) ()
gdouble	(*NcHIPertWKBGetVal) ()
NcHIPertWKB *	nc_hipert_wkb_ref ()
void	nc_hipert_wkb_free ()
void	nc_hipert_wkb_clear ()
void	nc_hipert_wkb_set_interval ()
void	nc_hipert_wkb_get_nu_V ()
void	nc_hipert_wkb_get_mnu_dmnu ()
gdouble	nc_hipert_wkb_get_m ()
gdouble	nc_hipert_wkb_get_nu2 ()
gdouble	nc_hipert_wkb_get_dVnu2 ()
void	nc_hipert_wkb_prepare ()
void	nc_hipert_wkb_q ()
void	nc_hipert_wkb_q_p ()
gdouble	nc_hipert_wkb_nuA ()
gdouble	nc_hipert_wkb_phase ()
gdouble	nc_hipert_wkb_maxtime ()
gdouble	nc_hipert_wkb_maxtime_prec ()

Types and Values

enum	NcHIPertWKBVars
enum	NcHIPertWKBCmp

Object Hierarchy

    GEnum
    ├── NcHIPertWKBCmp
    ╰── NcHIPertWKBVars
    GObject
    ╰── NcHIPert
        ╰── NcHIPertWKB

Description

Generic implementation of WKB analysis.

Functions

NcHIPertWKBGetNuV ()

void
(*NcHIPertWKBGetNuV) (NcHIPertWKB *wkb,
                      NcmModel *model,
                      gdouble alpha,
                      gdouble k,
                      gdouble *nu,
                      gdouble *V);

NcHIPertWKBGetMnuDmnu ()

void
(*NcHIPertWKBGetMnuDmnu) (NcHIPertWKB *wkb,
                          NcmModel *model,
                          gdouble alpha,
                          gdouble k,
                          gdouble *mnu,
                          gdouble *dmnu);

NcHIPertWKBGetVal ()

gdouble
(*NcHIPertWKBGetVal) (NcHIPertWKB *wkb,
                      NcmModel *model,
                      gdouble alpha,
                      gdouble k);

nc_hipert_wkb_ref ()

NcHIPertWKB *
nc_hipert_wkb_ref (NcHIPertWKB *wkb);

Increases the reference count of wkb .

Parameters

wkb

a NcHIPertWKB.

Returns

wkb .

[transfer full]

nc_hipert_wkb_free ()

void
nc_hipert_wkb_free (NcHIPertWKB *wkb);

Decreases the reference count of wkb .

Parameters

wkb

a NcHIPertWKB.

nc_hipert_wkb_clear ()

void
nc_hipert_wkb_clear (NcHIPertWKB **wkb);

Decreases the reference count of *wkb and sets *wkb to NULL.

Parameters

wkb

a NcHIPertWKB.

nc_hipert_wkb_set_interval ()

void
nc_hipert_wkb_set_interval (NcHIPertWKB *wkb,
                            gdouble alpha_i,
                            gdouble alpha_f);

Sets the interval to calculate the WKB modes to $(\alpha_i,\,\alpha_f)$.

Parameters

wkb	a NcHIPertWKB
alpha_i	initial log-redshift time
alpha_f	final log-redshift time

nc_hipert_wkb_get_nu_V ()

void
nc_hipert_wkb_get_nu_V (NcHIPertWKB *wkb,
                        NcmModel *model,
                        gdouble alpha,
                        gdouble k,
                        gdouble *nu,
                        gdouble *V);

FIXME

[virtual get_nu_V]

Parameters

wkb	a NcHIPertWKB
model	a NcmModel
alpha	log-redshift time
k	mode $k$
nu	frequency $\nu$.	[out]
V	WKB potential.	[out]

nc_hipert_wkb_get_mnu_dmnu ()

void
nc_hipert_wkb_get_mnu_dmnu (NcHIPertWKB *wkb,
                            NcmModel *model,
                            gdouble alpha,
                            gdouble k,
                            gdouble *mnu,
                            gdouble *dmnu);

FIXME

[virtual get_mnu_dmnu]

Parameters

wkb	a NcHIPertWKB
model	a NcmModel
alpha	log-redshift time
k	mode $k$
mnu	mass-frequency $m\nu$.	[out]
dmnu	mass-frequency derivative $\mathrm{d}m\nu/\mathrm{d}\alpha$.	[out]

nc_hipert_wkb_get_m ()

gdouble
nc_hipert_wkb_get_m (NcHIPertWKB *wkb,
                     NcmModel *model,
                     gdouble alpha,
                     gdouble k);

FIXME

[virtual get_m]

Parameters

wkb	a NcHIPertWKB
model	a NcmModel
alpha	log-redshift time
k	mode $k$

Returns

mass $m$.

nc_hipert_wkb_get_nu2 ()

gdouble
nc_hipert_wkb_get_nu2 (NcHIPertWKB *wkb,
                       NcmModel *model,
                       gdouble alpha,
                       gdouble k);

FIXME

[virtual get_nu2]

Parameters

wkb	a NcHIPertWKB
model	a NcmModel
alpha	log-redshift time
k	mode $k$

Returns

frequency squared $m^2$.

nc_hipert_wkb_get_dVnu2 ()

gdouble
nc_hipert_wkb_get_dVnu2 (NcHIPertWKB *wkb,
                         NcmModel *model,
                         gdouble alpha,
                         gdouble k);

FIXME

[virtual get_dVnu2]

Parameters

wkb	a NcHIPertWKB
model	a NcmModel
alpha	log-redshift time
k	mode $k$

Returns

derivative of the WKB potential $\mathrm{d}(V/\nu^2)/\mathrm{d}\alpha$.

nc_hipert_wkb_prepare ()

void
nc_hipert_wkb_prepare (NcHIPertWKB *wkb,
                       NcmModel *model);

Prepare the object for WKB calculations using the model model . It uses the wkb approximation until wkb->reltol is reached and then it solves the non-linear equation of motion for $\nu_A$ for the rest of the interval.

Parameters

wkb	a NcHIPertWKB
model	a NcmModel

nc_hipert_wkb_q ()

void
nc_hipert_wkb_q (NcHIPertWKB *wkb,
                 NcmModel *model,
                 gdouble alpha,
                 gdouble *Re_q,
                 gdouble *Im_q);

Computes the WKB solution $q_\text{WKB}$ for the mode $k$ at the time $\alpha$.

Parameters

wkb	a NcHIPertWKB
model	a NcmModel
alpha	the log-redshift time
Re_q	Real part of the wkb solution.	[out caller-allocates]
Im_q	Imaginary part of the wkb solution.	[out caller-allocates]

nc_hipert_wkb_q_p ()

void
nc_hipert_wkb_q_p (NcHIPertWKB *wkb,
                   NcmModel *model,
                   gdouble alpha,
                   gdouble *Re_q,
                   gdouble *Im_q,
                   gdouble *Re_p,
                   gdouble *Im_p);

Computes the WKB solution $q_\text{WKB}$ and its momentum for the mode $k$ at the time $\alpha$.

Parameters

wkb	a NcHIPertWKB.
model	a NcmModel
alpha	the log-redshift time.
Re_q	Real part of the wkb solution.	[out caller-allocates]
Im_q	Imaginary part of the wkb solution.	[out caller-allocates]
Re_p	Real part of the wkb solution momentum.	[out caller-allocates]
Im_p	Imaginary part of the wkb solution momentum.	[out caller-allocates]

nc_hipert_wkb_nuA ()

gdouble
nc_hipert_wkb_nuA (NcHIPertWKB *wkb,
                   NcmModel *model,
                   gdouble alpha);

FIXME

Parameters

wkb	a NcHIPertWKB
model	a NcmModel
alpha	the log-redshift time

Returns

FIXME

nc_hipert_wkb_phase ()

gdouble
nc_hipert_wkb_phase (NcHIPertWKB *wkb,
                     NcmModel *model,
                     gdouble alpha);

FIXME

Parameters

wkb	a NcHIPertWKB
model	a NcmModel
alpha	the log-redshift time

Returns

FIXME

nc_hipert_wkb_maxtime ()

gdouble
nc_hipert_wkb_maxtime (NcHIPertWKB *wkb,
                       NcmModel *model,
                       gdouble alpha0,
                       gdouble alpha1);

Search for the root of $\nu_A^2$ between $\alpha_0$ and $\alpha_1$.

Parameters

wkb	a NcHIPertWKB
model	a NcmModel
alpha0	the initial log-redshift time
alpha1	the final log-redshift time

Returns

the root of $\nu_A^2$ between $\alpha_0$ and $\alpha_1$ or NaN if not found.

nc_hipert_wkb_maxtime_prec ()

gdouble
nc_hipert_wkb_maxtime_prec (NcHIPertWKB *wkb,
                            NcmModel *model,
                            NcHIPertWKBCmp cmp,
                            gdouble alpha0,
                            gdouble alpha1);

Search for the instant at which the WKB approximation starts to fails within the asked precision.

Parameters

wkb	a NcHIPertWKB
model	a NcmModel
cmp	Comparison type
alpha0	FIXME
alpha1	FIXME

Returns

the instant $\alpha$ between $\alpha_0$ and $\alpha_1$ or NaN if not found.

Types and Values

enum NcHIPertWKBVars

Perturbation variables enumerator.

Members

NC_HIPERT_WKB_RE_Q	$\text{Re}(q)$
NC_HIPERT_WKB_IM_Q	$\text{Im}(q)$
NC_HIPERT_WKB_RE_P	$\text{Re}(p)$
NC_HIPERT_WKB_IM_P	$\text{Im}(p)$

enum NcHIPertWKBCmp

FIXME

Members

NC_HIPERT_WKB_CMP_POTENTIAL	Compare with the potential.
NC_HIPERT_WKB_CMP_ALPHA2	Compare with $\alpha^2$.