Common spherical harmonic tranforms. More...

Functions
double	shtns_wtime ()
	common sht functions and api calls

double	SH_to_spat_time (shtns_cfg shtns, cplx Qlm, double Vr)
	same as SH_to_spat() but with time recording; returns time in seconds

double	spat_to_SH_time (shtns_cfg shtns, double Vr, cplx Qlm)
	same as spat_to_SH() but with time recording; returns time in seconds

void	SH_to_spat (shtns_cfg shtns, cplx Qlm, double Vr)
	transform the spherical harmonic coefficients Qlm into its spatial representation Vr.

void	spat_to_SH (shtns_cfg shtns, double Vr, cplx Qlm)
	transform the scalar field Vr into its spherical harmonic representation Qlm.

void	SHsphtor_to_spat (shtns_cfg shtns, cplx Slm, cplx Tlm, double Vt, double Vp)
	transform spheroidal-toroidal spherical harmonic coefficients (Slm,Tlm) to the spatial theta and phi components (Vt,Vp).

void	spat_to_SHsphtor (shtns_cfg shtns, double Vt, double Vp, cplx Slm, cplx Tlm)
	transform the theta and phi components (Vt,Vp) of a vector into its spheroidal-toroidal spherical harmonic representation (Slm,Tlm).

void	SHqst_to_spat (shtns_cfg shtns, cplx Qlm, cplx Slm, cplx Tlm, double Vr, double Vt, double Vp)
	3D vector transform from radial-spheroidal-toroidal spectral components (see Radial - Spheroidal - Toroidal decomposition) to spherical coordinates.

void	spat_to_SHqst (shtns_cfg shtns, double Vr, double Vt, double Vp, cplx Qlm, cplx Slm, cplx Tlm)
	3D vector transform from spherical coordinates to radial-spheroidal-toroidal spectral components (see Radial - Spheroidal - Toroidal decomposition).

void	SHtor_to_spat (shtns_cfg shtns, cplx Tlm, double Vt, double *Vp)
	transform toroidal spherical harmonic coefficients Tlm to the spatial theta and phi components (Vt,Vp).

void	SHsph_to_spat (shtns_cfg shtns, cplx Slm, double Vt, double *Vp)
	transform spheroidal spherical harmonic coefficients Slm to the spatial theta and phi components (Vt,Vp), effectively computing the gradient of S.

void	SH_to_spat_l (shtns_cfg shtns, cplx Qlm, double Vr, int ltr)

void	spat_to_SH_l (shtns_cfg shtns, double Vr, cplx Qlm, int ltr)

void	SHsphtor_to_spat_l (shtns_cfg shtns, cplx Slm, cplx Tlm, double Vt, double Vp, int ltr)

void	spat_to_SHsphtor_l (shtns_cfg shtns, double Vt, double Vp, cplx Slm, cplx Tlm, int ltr)

void	SHqst_to_spat_l (shtns_cfg shtns, cplx Qlm, cplx Slm, cplx Tlm, double Vr, double Vt, double Vp, int ltr)

void	spat_to_SHqst_l (shtns_cfg shtns, double Vr, double Vt, double Vp, cplx Qlm, cplx Slm, cplx Tlm, int ltr)

void	SHtor_to_spat_l (shtns_cfg shtns, cplx Tlm, double Vt, double *Vp, int ltr)

void	SHsph_to_spat_l (shtns_cfg shtns, cplx Slm, double Vt, double *Vp, int ltr)

void	SH_to_spat_ml (shtns_cfg shtns, int im, cplx Qlm, cplx Vr, int ltr)

void	spat_to_SH_ml (shtns_cfg shtns, int im, cplx Vr, cplx Qlm, int ltr)

void	SHsphtor_to_spat_ml (shtns_cfg shtns, int im, cplx Slm, cplx Tlm, cplx Vt, cplx Vp, int ltr)

void	spat_to_SHsphtor_ml (shtns_cfg shtns, int im, cplx Vt, cplx Vp, cplx Slm, cplx Tlm, int ltr)

void	SHqst_to_spat_ml (shtns_cfg shtns, int im, cplx Qlm, cplx Slm, cplx Tlm, cplx Vr, cplx Vt, cplx Vp, int ltr)

void	spat_to_SHqst_ml (shtns_cfg shtns, int im, cplx Vr, cplx Vt, cplx Vp, cplx Qlm, cplx Slm, cplx Tlm, int ltr)

void	SHtor_to_spat_ml (shtns_cfg shtns, int im, cplx Tlm, cplx Vt, cplx *Vp, int ltr)

void	SHsph_to_spat_ml (shtns_cfg shtns, int im, cplx Slm, cplx Vt, cplx *Vp, int ltr)

Detailed Description

Common spherical harmonic tranforms.

Functions

Detailed Description