Fujita Tagoshi Class. More...

#include <FT.h>

Public Types
typedef double	Real

typedef long double	LongReal

typedef std::complex< Real >	Complex

typedef std::complex< LongReal >	LongComplex

Public Member Functions
	FT (const int l, const int m, const Real r, const Real a, const Real omega, const Real lambda, const Real tolerance)

	FT (const int l, const int m, const Real p, const Real ecc, const Real a, const Real omega, const Real lambda, const Real tolerance)

Complex	Bin ()

Complex	Btrans ()

Complex	Ctrans ()

void	CalcRFields (const Real rad, const int DoH)

Complex	TeukRin ()

Complex	TeukRup ()

Complex	dr_TeukRin ()

Complex	dr_TeukRup ()

Complex	ddr_TeukRin ()

Complex	ddr_TeukRup ()

Real	Accuracy_in ()

Real	Accuracy_up ()

Real	request_precision_in (const Real p)

Real	request_precision_up (const Real p)

Real	request_precision_in ()

Real	request_precision_up ()

int	terms_evaluated ()

void	set_gmp (int flag)

int	get_gmp ()

Real	K (const Real rad)

Real	dr_K (const Real rad)

Real	ddr_K ()

Complex	teuk_potential (const Real rad)

Complex	get_ddrteuk (const Real rad, const Complex rteuk, const Complex drteuk)

int	choose_solvers (const Real low, const Real high, const Real lowerrs, const Real higherrs, const int isin, const int oldchoice, Real locptr, int choiceptr, const int *maxchoiceptr)

void	geterrs (const Real r, Real *errs, int isin)

Complex	callsolver (const int isin, const int which, const Real r, const Real epsilon, const Complex nu, const Real precision, Complex *deriv)

Complex	callin (const Real r, Complex *deriv)

Complex	callup (const Real r, Complex *deriv)

void	getlocs (const int isin)

Real	plusfrac (Real nu, Real epsilon, Real q, int m, Real lambda, Real *term)

Complex	cplusfrac (Complex nu, Real epsilon, Real q, int m, Real lambda, Real *term)

Real	minusfrac (Real nu, Real epsilon, Real q, int m, Real lambda, Real *term)

Complex	cminusfrac (Complex nu, Real epsilon, Real q, int m, Real lambda, Real *term)

Real	radialfrac (Real nu, Real epsilon, Real q, int m, Real lambda, Real *term)

Complex	cradialfrac (Complex nu, Real epsilon, Real q, int m, Real lambda, Real *term)

Real	radialfrac_half (Real imnu, Real epsilon, Real q, int m, Real lambda, Real *term)

int	renangmom (Real epsilon, Real q, int l, int m, Real lambda, Complex *nu)

int	get_deciders (Real epsilon, Real q, int m, Real lambda, Real halfval, Real oneslope)

int	renangmom_real_search_procedure (Real epsilon, Real q, int l, int m, Real lambda, Complex *nu)

int	singularity_fit (Real epsilon, Real q, int l, int m, Real lambda, int guessint, int guessint2, Real spacing, Complex *nu)

int	renangmom_real (Real epsilon, Real q, int l, int m, Real lambda, Real detect_limit, Real *nu)

int	renangmom_real_divide_search (Real epsilon, Real q, int l, int m, Real lambda, Real *nu)

int	renangmom_half (Real epsilon, Real q, int l, int m, Real lambda, Real *imnu)

int	renangmom_iint (Real epsilon, Real q, int l, int m, Real lambda, Real *imnu)

int	renangmom_far (Real epsilon, Real q, int l, int m, Real lambda, Complex *nu)

Real	nu_predictor (Real epsilon, Real q, int m, Real lambda)

int	renangmom_real_guess (Real epsilon, Real q, int m, Real lambda, Real guess, Real *nu)

Real	fractions_poly_approx (Real epsilon, Real q, int m, Real lambda)

Real	radial_half_value (Real epsilon, Real q, int m, Real lambda, Real *term)

Real	radial_int_slope (Real epsilon, Real q, int m, Real lambda, Real *term)

void	asympt_amps (Complex nu, Real epsilon, Real q, int m, Real lambda, Complex b_trans, Complex b_inc, Complex b_ref, Complex c_trans)

Complex	fsum (Complex nu, Real epsilon, Real q, int m, Real lambda)

Complex	kfactor (Complex nu, Real epsilon, Real q, int m, Real lambda)

Complex	aminus (Complex nu, Real epsilon, Real q, int m, Real lambda)

Complex	rzero (Complex nu, Real epsilon, Real q, int m, Real lambda, Real x, Complex *deriv)

Complex	rin_hyper (Complex nu, Real epsilon, Real q, int m, Real lambda, Real x, Real precision, Complex *deriv)

Complex	rcoulomb (Complex nu, Real epsilon, Real q, int m, Real lambda, Real z, Complex *deriv)

Complex	rin_coulomb (Complex nu, Real epsilon, Real q, int m, Real lambda, Real z, Real precision, Complex *deriv)

Complex	rup_tricomi (Complex nu, Real epsilon, Real q, int m, Real lambda, Real z, Real precision, Complex *deriv)

Complex	rin_small (Complex nu, Real epsilon, Real q, int m, Real lambda, Real x, Real precision, Complex *deriv)

Complex	rup_hyper (Complex nu, Real epsilon, Real q, int m, Real lambda, Real x, Real precision, Complex *deriv)

std::complex< double >	gammln (const std::complex< double > x)

std::complex< double >	sinln (const std::complex< double > x)

std::complex< HYPERGEOM_REAL_TYPE >	hypergeom2F1 (std::complex< double > n1, std::complex< double > n2, std::complex< double > d1, std::complex< double > x)

std::complex< HYPERGEOM_REAL_TYPE >	hypergeom1F1 (std::complex< double > n1, std::complex< double > d1, std::complex< double > x)

std::complex< HYPERGEOM_REAL_TYPE >	hypergeomU (std::complex< double > a, std::complex< double > b, std::complex< double > x)

std::complex< HYPERGEOM_REAL_TYPE >	hypergeomU_reduced (std::complex< double > a, std::complex< double > b, std::complex< double > x)

std::complex< HYPERGEOM_REAL_TYPE >	hypergeom2F1_gmp (std::complex< double > n1, std::complex< double > n2, std::complex< double > d1, std::complex< double > x, int precision)

std::complex< HYPERGEOM_REAL_TYPE >	hypergeom1F1_gmp (std::complex< double > n1, std::complex< double > d1, std::complex< double > x, int precision)

Public Attributes
int	l

int	m

Real	a

Real	p

Real	e

Real	omega

Real	lambda

Real	tolerance

Real	accuracy_in

Real	accuracy_up

Real	rin_request_precision

Real	rup_request_precision

Complex	nu
	The renormalized angular momentum.

Complex	b_trans

Complex	b_inc

Complex	c_trans

Complex	rteuk_in

Complex	rteuk_up
	Radial Teukolsky function.

Complex	drteuk_in

Complex	drteuk_up
	First derivatives of radial Teukolsky function.

Complex	ddrteuk_in

Complex	ddrteuk_up
	Second derivatives of the radial Teukolsky function.

int	up_choices [FT_MAXDIVS]

Real	up_choice_locs [FT_MAXDIVS]

int	in_choices [FT_MAXDIVS]

Real	in_choice_locs [FT_MAXDIVS]

Complex	test_renangmoms [TEST_LENGTH]

int	gmp_on

int	hypergeom_terms

Detailed Description

Fujita Tagoshi Class.

FT defines methods for computing solutions to the homogeneous Teukolsky equation as laid out in papers by Ryuichi Fujita and Hideyushi Tagoshi

Member Function Documentation

◆ Accuracy_in()

Real FT::Accuracy_in ( )

inline

the actual error bound

◆ Accuracy_up()

Real FT::Accuracy_up ( )

inline

the actual error bound

◆ Bin()

Complex FT::Bin ( )

inline

asymptotic amplitude

◆ Btrans()

Complex FT::Btrans ( )

inline

asymptotic amplitudes

◆ CalcRFields()

void FT::CalcRFields	(	const Real	rad,
		const int	DoH
	)

set the point at which the fields are calculated

◆ choose_solvers()

int FT::choose_solvers	(	const Real	low,
		const Real	high,
		const Real *	lowerrs,
		const Real *	higherrs,
		const int	isin,
		const int	oldchoice,
		Real **	locptr,
		int **	choiceptr,
		const int *	maxchoiceptr
	)

some quantities in the Teukolsky equation

◆ Ctrans()

Complex FT::Ctrans ( )

inline

asymptotic amplitudes

◆ ddr_K()

Real FT::ddr_K ( )

inline

some quantities in the Teukolsky equation

◆ ddr_TeukRin()

Complex FT::ddr_TeukRin ( )

inline

value of the homogeneous solutions

◆ ddr_TeukRup()

Complex FT::ddr_TeukRup ( )

inline

value of the homogeneous solutions

◆ dr_K()

Real FT::dr_K ( const Real rad )

inline

some quantities in the Teukolsky equation

◆ dr_TeukRin()

Complex FT::dr_TeukRin ( )

inline

value of the homogeneous solutions

◆ dr_TeukRup()

Complex FT::dr_TeukRup ( )

inline

value of the homogeneous solutions

◆ get_ddrteuk()

Complex FT::get_ddrteuk	(	const Real	rad,
		const Complex	rteuk,
		const Complex	drteuk
	)

inline

some quantities in the Teukolsky equation

◆ K()

Real FT::K ( const Real rad )

inline

some quantities in the Teukolsky equation

◆ request_precision_in() [1/2]

Real FT::request_precision_in ( const Real p )

inline

requesting precision

◆ request_precision_in() [2/2]

Real FT::request_precision_in ( )

inline

requesting precision

◆ request_precision_up() [1/2]

Real FT::request_precision_up ( const Real p )

inline

requesting precision

◆ request_precision_up() [2/2]

Real FT::request_precision_up ( )

inline

requesting precision

◆ teuk_potential()

Complex FT::teuk_potential ( const Real rad )

inline

some quantities in the Teukolsky equation

◆ TeukRin()

Complex FT::TeukRin ( )

inline

value of the homogeneous solutions

◆ TeukRup()

Complex FT::TeukRup ( )

inline

value of the homogeneous solutions

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

include/FT.h
src/fujtag/FT.cc

Public Types

Public Member Functions

Public Attributes

Detailed Description

Member Function Documentation

◆ Accuracy_in()

◆ Accuracy_up()

◆ Bin()

◆ Btrans()

◆ CalcRFields()

◆ choose_solvers()

◆ Ctrans()

◆ ddr_K()

◆ ddr_TeukRin()

◆ ddr_TeukRup()

◆ dr_K()

◆ dr_TeukRin()

◆ dr_TeukRup()

◆ get_ddrteuk()

◆ K()

◆ request_precision_in() [1/2]

◆ request_precision_in() [2/2]

◆ request_precision_up() [1/2]

◆ request_precision_up() [2/2]

◆ teuk_potential()

◆ TeukRin()

◆ TeukRup()