Sampling Functions#

Array shaping functions#
Function Name	Description
`f_shape()`	Shape of a signal on the sphere and rotation group.
`flm_shape()`	Standard shape of harmonic coefficients.
`flmn_shape()`	Standard shape of Wigner coefficients.
`ftm_shape()`	Shape of intermediate array, before/after latitudinal step.
`fnab_shape()`	Shape of intermediate array, before/after latitudinal step.

Spherical sampling functions#
Function Name	Description
`ncoeff()`	Number of spherical harmonic coefficients for given band-limit L.
`ntheta()`	Total number of latitudinal samples.
`ntheta_extension()`	Total number of latitudinal samples for periodically extended sampling.
`thetas()`	Compute \(\theta\) samples for given sampling scheme.
`t2theta()`	Convert index to \(\theta\) angle for sampling scheme.
`nphi_equiang()`	Total number of longitudinal samples for equiangular sampling schemes.
`nphi_equitorial_band()`	Number of \(\phi\) samples within the equitorial band for HEALPix sampling scheme.
`nphi_ring()`	Number of \(\phi\) samples for HEALPix sampling on given \(\theta\) ring.
`phis_ring()`	Compute \(\phi\) samples for given \(\theta\) HEALPix ring.
`p2phi_ring()`	Convert index to \(\phi\) angle for HEALPix for given \(\theta\) ring.
`phis_equiang()`	Compute \(\phi\) samples for equiangular sampling scheme.
`ring_phase_shift_hp()`	Generates a phase shift vector for HEALPix for a given \(\theta\) ring.

Pixel indexing functions#
Function Name	Description
`elm2ind()`	Convert from spherical harmonic 2D indexing of \((\ell,m)\) to 1D index.
`ind2elm()`	Convert from 1D spherical harmonic index to 2D index of \((\ell,m)\).
`elmn2ind()`	Convert from Wigner 3D indexing of \((\ell,m)\) to 1D index.
`hp_ang2pix()`	Convert angles to HEALPix index for HEALPix ring ordering scheme.
`hp_getidx()`	Compute HEALPix harmonic index.
`lm2lm_hp()`	Converts from 1D indexed harmonic coefficients to HEALPix (healpy) indexed coefficients.

Sampling & dimensionality conversions#
Function Name	Description
`flm_2d_to_1d()`	Convert from 2D indexed harmonic coefficients to 1D indexed coefficients.
`flm_1d_to_2d()`	Convert from 1D indexed harmnonic coefficients to 2D indexed coefficients.
`flm_hp_to_2d()`	Converts from HEALPix (healpy) indexed harmonic coefficients to 2D indexed coefficients.
`flm_2d_to_hp()`	Converts from 2D indexed harmonic coefficients to HEALPix (healpy) indexed coefficients.
`flmn_3d_to_1d()`	Convert from 3D indexed Wigner coefficients to 1D indexed coefficients.
`flmn_1d_to_3d()`	Convert from 1D indexed Wigner coefficients to 3D indexed coefficients.