A class for calculating the deflection, kappa and gamma caused by an NFW halos. More...

#include <lens_halos.h>

Inheritance diagram for LensHaloNFW:

Collaboration diagram for LensHaloNFW:

Public Member Functions
	LensHaloNFW ()
	Shell constructor. Sets the halo to zero mass.

	LensHaloNFW (float my_mass, float my_Rsize, PosType my_zlens, float my_concentration, float my_fratio, float my_pa, const COSMOLOGY &cosmo, EllipMethod my_ellip_method=EllipMethod::Pseudo)

	LensHaloNFW (const LensHaloNFW &h)

	LensHaloNFW (const LensHaloNFW &&h)

LensHaloNFW &	operator= (const LensHaloNFW &h)

LensHaloNFW &	operator= (const LensHaloNFW &&h)

PosType	ffunction (PosType x) const

PosType	gfunction (PosType x) const

PosType	dgfunctiondx (PosType x)

PosType	g2function (PosType x) const

PosType	hfunction (PosType x) const

PosType	dhfunction (PosType x) const

PosType	ddhfunction (PosType x, bool numerical)

PosType	dddhfunction (PosType x, bool numerical)

PosType	bfunction (PosType x)

PosType	dbfunction (PosType x)

PosType	ddbfunction (PosType x)

PosType	dmoddb (int whichmod, PosType q, PosType b)
	dbfunction and ddbfunction are approximation formulae for dbeta/dr and d^2beta/dr^2 whereas dbnum and ddbnum calculate those derivates numerically using the 5-point rule, i.e. 4th order accuracy.

PosType	ddmoddb (int whichmod, PosType q, PosType b)

PosType	dmoddq (int whichmod, PosType q, PosType b)

PosType	ddmoddq (int whichmod, PosType q, PosType b)

void	alphaNFW (PosType alpha, PosType x, PosType Rtrunc, PosType mass, PosType r_scale, PosType *center, PosType Sigma_crit)
	deflection caused by NFW halo More...

KappaType	kappaNFW (PosType x, PosType Rtrunc, PosType mass, PosType r_scale, PosType center, PosType Sigma_crit)
	Convergence for an NFW halo.

void	gammaNFW (KappaType gamma, PosType x, PosType Rtrunc, PosType mass, PosType r_scale, PosType *center, PosType Sigma_crit)
	Shear for and NFW halo. this might have a flaw in it.

void	initFromFile (float my_mass, long *seed, float vmax, float r_halfmass)
	Sets the profile to match the mass, Vmax and R_halfmass.

void	initFromMassFunc (float my_mass, float my_Rsize, float my_rscale, PosType my_slope, long *seed)
	initialize from a mass function

void	set_RsizeXmax (float my_Rsize)
	set Rsize, xmax and gmax

void	set_rscaleXmax (float my_rscale)

Public Member Functions inherited from LensHalo
	LensHalo ()
	Shell constructor.

	LensHalo (PosType z, const COSMOLOGY &cosmo)

	LensHalo (const LensHalo &h)

	LensHalo (LensHalo &&h)

LensHalo &	operator= (const LensHalo &h)

LensHalo &	operator= (LensHalo &&h)

float	get_Rmax () const
	this can be used to tag types of LensHalos More...

float	getRsize () const
	get the Rsize which is the size of the halo in Mpc

float	get_mass () const
	get the mass solar units

float	get_rscale () const
	get the scale radius in Mpc

PosType	getZlens () const
	get the redshift

void	getX (PosType *MyPosHalo) const
	get the position of the Halo in physical Mpc on the lens plane

PosType	operator[] (int i) const
	returns position of the Halo in physical Mpc on the lens plane

void	setTheta (PosType PosX, PosType PosY)
	set the position of the Halo in radians

void	setTheta (PosType *PosXY)
	set the position of the Halo in radians

void	setTheta (const Point_2d &p)
	set the position of the Halo in radians

void	getTheta (PosType *MyPosHalo) const
	get the position of the Halo in radians

void	setDist (COSMOLOGY &co)
	Set the angular size distance to the halo. This should be the distance to the lens plane.

PosType	getDist () const

void	displayPos ()

virtual void	set_RsizeRmax (float my_Rsize)
	set Rsize (in Mpc) and reset Rmax

void	set_mass (float my_mass)
	set mass (in solar masses)

virtual void	set_rscale (float my_rscale)
	set scale radius (in Mpc)

void	setZlens (PosType my_zlens, const COSMOLOGY &cosmo)
	set redshift

void	setRsize (PosType R)

void	setZlensDist (PosType my_zlens, const COSMOLOGY &cos)

void	setMass (PosType m)

virtual void	set_slope (PosType my_slope)
	set slope

virtual PosType	get_slope ()
	get slope

bool	get_flag_elliptical ()
	flag=True if halo elliptical

void	set_flag_elliptical (bool ell)

bool	get_switch_flag ()

void	set_switch_flag (bool swt)
	flag permits case distinction in force_halo_asym for elliptical NFWs only (get_switch_flag==true), in latter case the mass_norm_factor^2 is used instead of mass_norm_factor.

virtual void	setCosmology (const COSMOLOGY &cosmo)
	used for elliptical NFWs only, in that case get_switch_flag==true More...

virtual void	force_halo (PosType alpha, KappaType kappa, KappaType gamma, KappaType phi, PosType const *xcm, bool subtract_point=false, PosType screening=1.0)

bool	compareZ (PosType z)
	force tree calculation for stars More...

EllipMethod	getEllipMethod () const
	stars More...

std::vector< double >	get_mod ()
	get vector of Fourier modes, which are calculated in the constructors of the LensHaloes when main_ellip_method is set to 'Fourier'

virtual std::size_t	Nparams () const
	get the number of halo parameters

virtual PosType	getParam (std::size_t p) const
	get the value of a scaled halo parameter by index

virtual PosType	setParam (std::size_t p, PosType value)
	set the value of a scaled halo parameter by index

virtual void	printCSV (std::ostream &, bool header=false) const
	print the halo parameters in CSV format

PosType	MassBy2DIntegation (PosType R)
	Prints star parameters; if show_stars is true, prints data for single stars. More...

PosType	MassBy1DIntegation (PosType R)
	calculates the mass within radius R by integating alpha on a ring and using Gauss' law, used only for testing

PosType	test_average_gt (PosType R)
	calculates the average gamma_t for LensHalo::test()

PosType	test_average_kappa (PosType R)

void	set_norm_factor ()

void	set_rsize (float my_rsize)
	set radius rsize beyond which interpolation values between alpha_ellip and alpha_iso are computed

float	get_rsize ()

bool	test ()
	perform some basic consistancy checks for halo More...

size_t	getID () const

void	setID (size_t id)

PosType	renormalization (PosType r_max)

PixelMap	map_variables (LensingVariable lensvar, size_t Nx, size_t Ny, double res)
	Map a PixelMap of the surface, density, potential and potential gradient centred on (0,0) in LensHalo coordinates. More...

Protected Member Functions
void	make_tables ()
	make the specific tables

PosType	InterpolateFromTable (PosType *table, PosType y) const
	interpolates from the specific tables

PosType	InterpolateModes (int whichmod, PosType q, PosType b)

void	assignParams (InputParams &params)
	read in parameters from a parameterfile in InputParams params

PosType	alpha_h (PosType x) const
	r \|alpha(r = x*rscale)\| PI Sigma_crit / Mass

KappaType	kappa_h (PosType x) const

KappaType	gamma_h (PosType x) const

KappaType	phi_h (PosType x) const

KappaType	phi_int (PosType x) const

Protected Member Functions inherited from LensHalo
PosType	alpha_int (PosType x) const
	Calculates potential (phi_int) from alpha_h. If flag is_alphah_a_table is True it takes and integrates directly the gfunction instead of alpha_h. The gfunction is used for the InterpolationTable used in alpha_h. Setting the flag to False speeds up the calculation of phi_h.

PosType	norm_int (PosType r_max)

void	force_halo_sym (PosType alpha, KappaType kappa, KappaType gamma, KappaType phi, PosType const *xcm, bool subtract_point=false, PosType screening=1.0)
	returns the lensing quantities of a ray in center of mass coordinates for a symmetric halo More...

void	force_halo_asym (PosType alpha, KappaType kappa, KappaType gamma, KappaType phi, PosType const *xcm, bool subtract_point=false, PosType screening=1.0)

bool	force_point (PosType alpha, KappaType kappa, KappaType gamma, KappaType phi, PosType const *xcm, PosType rcm2, bool subtract_point, PosType screening)

void	assignParams (InputParams &params, bool needRsize)
	read in parameters from a parameterfile in InputParams params

void	error_message1 (std::string name, std::string filename)
	read in star parameters. This is valid for all halos and not overloaded. More...

virtual PosType	bnumfunction (PosType x)

void	faxial (PosType x, PosType theta, PosType f[])
	If set to true the correct normalization is applied for asymmetric NFW profiles, the mass_norm_factor is different for the other halos. More...

void	faxial0 (PosType theta, PosType f0[])

void	faxial1 (PosType theta, PosType f1[])

void	faxial2 (PosType theta, PosType f2[])

void	gradial (PosType r, PosType g[])
	Derivatives of the potential damping factor with respect to r ... TODO: come up with a better damping faction.

void	gradial2 (PosType r, PosType mu, PosType sigma, PosType g[])

void	felliptical (PosType x, PosType q, PosType theta, PosType f[], PosType g[])
	Calculate the derivatives of the G function = r*sqrt(cos(theta)^2 + q(r)^2 sin(theta)) More...

virtual void	gamma_asym (PosType x, PosType theta, PosType gamma[])

virtual PosType	kappa_asym (PosType x, PosType theta)

virtual void	alphakappagamma_asym (PosType x, PosType theta, PosType alpha[], PosType kappa, PosType gamma[], PosType phi)
	Pseudo-elliptical profiles by Phi(G)-Ansatz. More...

virtual void	alphakappagamma1asym (PosType x, PosType theta, PosType alpha[2], PosType kappa, PosType gamma[], PosType phi)
	Elliptical profiles by Fourier-Ansatz. More...

virtual void	alphakappagamma2asym (PosType x, PosType theta, PosType alpha[2], PosType kappa, PosType gamma[], PosType phi)

virtual void	alphakappagamma3asym (PosType x, PosType theta, PosType alpha[2], PosType kappa, PosType gamma[], PosType phi)

virtual PosType	alpha_ell (PosType x, PosType theta)

double	fourier_coeff (double n, double q, double beta)
	Calculates fourier-coefficients for power law halo.

double	IDAXDM (double lambda, double a2, double b2, double x[], double rmax, double mo)

double	IDAYDM (double lambda, double a2, double b2, double x[], double rmax, double mo)

double	SCHRAMMKN (double n, double x[], double rmax)

double	SCHRAMMJN (double n, double x[], double rmax)

double	SCHRAMMI (double x[], double rmax)

void	calcModes (double q, double beta, double rottheta, PosType newmod[])
	Calculates the modes for fourier expansion of power law halo. All the modes are relative to the zero mode to conserve mass throughout the calculation of kappa etc.

void	calcModesB (PosType x, double q, double beta, double rottheta, PosType newmod[])

void	calcModesC (PosType beta_r, double q, double rottheta, PosType newmod[])

void	analModes (int modnumber, PosType my_beta, PosType q, PosType amod[3])

Static Protected Attributes
static const long	NTABLE = 10000
	table size

static const PosType	maxrm = 100.0
	maximum Rsize/rscale

static int	count = 0
	keeps track of how many time the tables are created, default is just once

static PosType *	ftable = NULL
	tables for lensing properties specific functions

static PosType *	gtable = NULL

static PosType *	g2table = NULL

static PosType *	htable = NULL

static PosType *	xtable = NULL

static PosType *	xgtable = NULL

static PosType ***	modtable = NULL

Static Protected Attributes inherited from LensHalo
static const int	Nmod = 32

Additional Inherited Members
Static Public Member Functions inherited from LensHalo
static const int	get_Nmod ()
	get length of mod array, which is Nmod. Not to be confused with getNmodes in the class LensHaloFit

Public Attributes inherited from LensHalo
int	tag =0

Protected Attributes inherited from LensHalo
float	Rsize = 0

float	mass

PosType	Dist

PosType	mnorm

float	Rmax

PosType	beta

float	Rmax_to_Rsize_ratio = 1.2
	The factor by which Rmax is larger than Rsize.

float	rscale
	scale length or core size. Different meaning in different cases. Not used in NSIE case.

EllipMethod	main_ellip_method

PosType	xmax

PosType	mass_norm_factor =1
	This is Rsize/rscale !!

float	pa

float	fratio =1.0

bool	elliptical_flag = false

bool	switch_flag = false

PosType	mod [Nmod]

PosType	mod1 [Nmod]

PosType	mod2 [Nmod]

PosType	r_eps

Detailed Description

A class for calculating the deflection, kappa and gamma caused by an NFW halos.

This class uses the true expressions for the NFW profile. This is time consuming and not usually necessary. See TreeQuadPseudoNFW for a faster alternative.

The default value of theta = 0.1 generally gives better than 1% accuracy on alpha. The shear and kappa is always more accurate than the deflection.

Constructor & Destructor Documentation

◆ LensHaloNFW()

LensHaloNFW::LensHaloNFW	(	float	my_mass,
		float	my_Rsize,
		PosType	my_zlens,
		float	my_concentration,
		float	my_fratio,
		float	my_pa,
		const COSMOLOGY &	cosmo,
		EllipMethod	my_ellip_method = `EllipMethod::Pseudo`
	)

If the axis ratio given in the parameter file is set to 1 all ellipticizing routines are skipped.

Parameters

my_mass	in solar masses
my_Rsize	in Mpc
my_zlens	redshift
my_fratio	axis ratio
my_pa	position angle, 0 is horizontal

Member Function Documentation

◆ alphaNFW()

void LensHaloNFW::alphaNFW	(	PosType *	alpha,
		PosType *	x,
		PosType	Rtrunc,
		PosType	mass,
		PosType	r_scale,
		PosType *	center,
		PosType	Sigma_crit
	)

deflection caused by NFW halo

Created on: Aug 26, 2010 Author: R.B. Metcalf

◆ set_rscaleXmax()

void LensHaloNFW::set_rscaleXmax ( float my_rscale )

inline

set scale radius set rscale, xmax and gmax

The documentation for this class was generated from the following files:

SLsimLib/include/lens_halos.h
SLsimLib/AnalyticNSIE/nfw_lens.cpp
SLsimLib/MultiPlane/lens_halos.cpp

Public Member Functions

Protected Member Functions