Precompute Functions#

Spherical harmonic transforms.#
Function Name	Description
`inverse()`	Wrapper function around NumPy/JAX/Torch inverse methods
`inverse_transform()`	Inverse spherical harmonic transform (NumPy)
`inverse_transform_jax()`	Inverse spherical harmonic transform (JAX)
`inverse_transform_torch()`	Inverse spherical harmonic transform (Torch)
`forward()`	Wrapper function around NumPy/JAX/Torch forward methods
`forward_transform()`	Forward spherical harmonic transform (NumPy)
`forward_transform_jax()`	Forward spherical harmonic transform (JAX)
`forward_transform_torch()`	Forward spherical harmonic transform (Torch)

Wigner transforms.#
Function Name	Description
`inverse()`	Wrapper function around NumPy/JAX/Torch inverse methods
`inverse_transform()`	Inverse Wigner transform (NumPy)
`inverse_transform_jax()`	Inverse Wigner transform (JAX)
`inverse_transform_torch()`	Inverse Wigner transform (Torch)
`forward()`	Wrapper function around NumPy/JAX/Torch forward methods
`forward_transform()`	Forward Wigner transform (NumPy)
`forward_transform_jax()`	Forward Wigner transform (JAX)
`forward_transform_torch()`	Forward Wigner transform (Torch)

Fourier-Wigner transforms.#
Function Name	Description
`inverse_transform()`	Inverse Wigner transform with Fourier method (NumPy)
`inverse_transform_jax()`	Inverse Wigner transform with Fourier method (JAX)
`forward_transform()`	Forward Wigner transform with Fourier method (NumPy)
`forward_transform_jax()`	Forward Wigner transform with Fourier method (JAX)

Custom Operations#
Function Name	Description
`wigner_subset_to_s2()`	Transforms an arbitrary subset of Wigner coefficients onto a subset of spin signals on the sphere.
`wigner_subset_to_s2_jax()`	Transforms an arbitrary subset of Wigner coefficients onto a subset of spin signals on the sphere (JAX).
`so3_to_wigner_subset()`	Transforms a signal on the rotation group to an arbitrary subset of its Wigner coefficients.
`so3_to_wigner_subset_jax()`	Transforms a signal on the rotation group to an arbitrary subset of its Wigner coefficients (JAX).
`s2_to_wigner_subset()`	Transforms from a collection of arbitrary spin signals on the sphere to the corresponding collection of their harmonic coefficients.
`s2_to_wigner_subset_jax()`	Transforms from a collection of arbitrary spin signals on the sphere to the corresponding collection of their harmonic coefficients (JAX).

Constructing Kernels for precompute transforms.#
Function Name	Description
`spin_spherical_kernel()`	Builds a kernel including quadrature weights and Wigner-D coefficients for spherical harmonic transform.
`wigner_kernel()`	Builds a kernel including quadrature weights and Wigner-D coefficients for Wigner transform.
`spin_spherical_kernel_jax()`	Builds a kernel including quadrature weights and Wigner-D coefficients for spherical harmonic transform (JAX).
`wigner_kernel_jax()`	Builds a kernel including quadrature weights and Wigner-D coefficients for Wigner transform (JAX).
`fourier_wigner_kernel()`	Builds a kernel including quadrature weights and Fourier coefficienfs of Wigner d-functions
`fourier_wigner_kernel_jax()`	Builds a kernel including quadrature weights and Fourier coefficienfs of Wigner d-functions (JAX).
`healpix_phase_shifts()`	Builds a vector of corresponding phase shifts for each HEALPix latitudinal ring.