Module rotation 

Multipole rotations in the z-y-z convention, with analytic Euler-angle pullbacks.

sw_rotate and cw_rotate give the coefficient of one mode pair; sw_rotation and cw_rotation give the matrix between two bases. Both matrices return one RotationResidual, whose pullback gives the cotangents of the Euler angles [phi, theta, psi], so the two families share this module instead of living in crate::sw and crate::cw.

Upstream: treams.sw.rotate, treams.cw.rotate and the treams.Rotate operator.

Structs

RotationResidual

What sw_rotation and cw_rotation save for their pullback: the rotation matrix, its coupled entries and, for spherical bases, the angular blocks.

Spherical 🔒

The Wigner small-d blocks and Euler phases of a spherical rotation.

Functions

bytes 🔒

check_state_layout 🔒

Check the entire byte layout before any residual allocation. Wigner block sizes are determined by their degree labels, so sparse blocks retain their native shape.

coupled 🔒

Entries (row, column) whose coupling keys agree, in column-major order; all other entries of a rotation vanish.

coupled_count 🔒

cw_keys 🔒

cw_rotate

Rotation coefficient of one cylindrical mode pair about the z axis.

cw_rotation

Cylindrical rotation about z; axial labels and the transverse plane stay fixed.

read_orders 🔒

state_size 🔒

sw_keys 🔒

sw_rotate

Rotation coefficient of one spherical mode pair.

sw_rotation

Spherical Euler rotation; distinct positions, degrees and polarizations decouple.

table_dimension 🔒