Angular::CkTable

Lookup table for C^k and 3j symbols (special m=1/2, q=0 case) More...

#include <CkTable.hpp>

Public Member Functions
	CkTable (const int in_max_twoj=0)
	Calculates and stored all Ck/3j symbols up to given maximum 2j.
void	fill (const int in_max_twoj)
	Extends existing look-up table to new twoj.
double	get_Ckab_mutable (int k, int ka, int kb)
	Ckab. mutable: will calculate if needed. Not thread safe.
double	get_tildeCkab_mutable (int k, int ka, int kb)
	tildeCkab. mutable: will calculate if needed. Not thread safe
double	get_3jkab_mutable (int k, int ka, int kb)
	special 3j(k, ka, kb). mutable: will calculate if needed. Not thread safe
double	get_Ckab (int k, int ka, int kb) const
	Ckab. Undefined if k, ka, or kb are out-of-bounds [check with max_tj()].
double	get_tildeCkab (int k, int ka, int kb) const
	tildeCkab. Undefined if k, ka, or kb are out-of-bounds
double	get_3jkab (int k, int ka, int kb) const
	special 3j(k, ka, kb). Undefined if k, ka, or kb are out-of-bounds
double	operator() (int k, int ka, int kb) const
	Operator overload: returns Ckab.
double	get_Lambdakab (int k, int ka, int kb) const
	Lambda^k_ij := 3js((ji,jj,k),(-1/2,1/2,0))^2 * parity(li+lj+k)
int	max_tj () const
	Maximum value for 2j currently stored in tables.
int	max_k () const
	Maximum value for k currently stored in tables.

Detailed Description

Lookup table for C^k and 3j symbols (special m=1/2, q=0 case)

• Builds 3j symbol lookup table for given maximum k and maximum j (2j)
• 3j symbols, special case: (ja jb k \ -1/2, 1/2, 0)
• Ckab : \(C^k_{ab} = \langle k_a||C^k||k_b \rangle\) [symmetric up to +/- sign]
• TildeCkab : \(\widetilde C^k_{ab} = (-1)^{ja+1/2} C^k_{ab}\) [symmetric]
• Slightly faster than calculating on-the-fly, but adds some overhead

  Construction

• Needs maximum two*j values. Will build look-up tables for all possible symbols.

  Mutable versions

• Some functions come with '_mutable' versions
• These will calculate (+ store) values if they don't exist yet
• '_mutable' versions are NOT thread safe (non-mutable are)
• The non-mutable versions: must not be called if symbol hasn't been calculated. This is undefined behaviour
• You can check which symbols exist by calling max_tj() and max_k()
• All "lower" symbols are calculated [max_tj, max_k defined all]

  Usage

• Note: Functions take k and kappa_a, kappa_b as input!

Constructor & Destructor Documentation

CkTable()

Angular::CkTable::CkTable ( const int  in_max_twoj = 0 )

inline

Calculates and stored all Ck/3j symbols up to given maximum 2j.

Member Function Documentation

fill()

void Angular::CkTable::fill

(

const int

in_max_twoj

)

Extends existing look-up table to new twoj.

nb: called on construction automatically, you only need to call this if you need to extend the table after original construction (rare)

get_Ckab_mutable()

double Angular::CkTable::get_Ckab_mutable	(	int	k,
		int	ka,
		int	kb
	)

Ckab. mutable: will calculate if needed. Not thread safe.

get_tildeCkab_mutable()

double Angular::CkTable::get_tildeCkab_mutable	(	int	k,
		int	ka,
		int	kb
	)

tildeCkab. mutable: will calculate if needed. Not thread safe

get_3jkab_mutable()

double Angular::CkTable::get_3jkab_mutable	(	int	k,
		int	ka,
		int	kb
	)

special 3j(k, ka, kb). mutable: will calculate if needed. Not thread safe

get_Ckab()

double Angular::CkTable::get_Ckab	(	int	k,
		int	ka,
		int	kb
	)		const

Ckab. Undefined if k, ka, or kb are out-of-bounds [check with max_tj()].

get_tildeCkab()

double Angular::CkTable::get_tildeCkab	(	int	k,
		int	ka,
		int	kb
	)		const

tildeCkab. Undefined if k, ka, or kb are out-of-bounds

get_3jkab()

double Angular::CkTable::get_3jkab	(	int	k,
		int	ka,
		int	kb
	)		const

special 3j(k, ka, kb). Undefined if k, ka, or kb are out-of-bounds

operator()()

double Angular::CkTable::operator() ( int  k, int  ka, int  kb  ) const

inline

Operator overload: returns Ckab.

get_Lambdakab()

double Angular::CkTable::get_Lambdakab	(	int	k,
		int	ka,
		int	kb
	)		const

Lambda^k_ij := 3js((ji,jj,k),(-1/2,1/2,0))^2 * parity(li+lj+k)

max_tj()

int Angular::CkTable::max_tj ( ) const

inline

Maximum value for 2j currently stored in tables.

max_k()

int Angular::CkTable::max_k ( ) const

inline

Maximum value for k currently stored in tables.

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

• Angular/CkTable.hpp
• Angular/CkTable.cpp