class TWignerd


Calculation of the fourier coefficients of wigner d functions
using recurrence.

Calculation of spherical harmonics and Wigner d functions by FFT.
Article: Acta Crystallographica Section A, Foundations of
Crystallography.
Authors: Stefano Trapani and Jorge Navasa.

Refer to macro wig_graph.C in tutorials directory for an example
how to use this class to sample wigner d functions.

Function Members (Methods)

public:

	TWignerd(int B)
	TWignerd(const TWignerd&)
	~TWignerd()
void	Advance(int l)
double	Delta(int m, int n) const
int	GetL() const
complex<double>	operator()(int m, int n, int u) const
TWignerd&	operator=(const TWignerd&)
void	Recurse()

private:

int	fIndex(int m, int n) const

Data Members

private:

int	fB	Band limit of the signal to be analised.
int	fL	Value of l in each step of the recursion.
vector<double>	fMatrix	Delta coefficients.
int	fSize	Size of container with deltas.

Class Charts

Inheritance Chart:

TWignerd

Function documentation

void Recurse()

 Advances one step in the recursion, from l to l+1

void Advance(int l)

 Advances using a loop in Recurse(), so that fL = l.

std::complex<double> operator()(int m, int n, int u) const

double Delta(int m, int n) const

int fIndex(int m, int n) const

{return (((m*(m+1)) >> 1) + n);}

explicit TWignerd(int B)

{ fMatrix[fIndex(0,0)] = 1; }

int GetL() const

{return fL;}