i3assist.Euler

class i3assist.Euler(phi=0.0, theta=0.0, psi=0.0, unit='deg')

Describes a particle’s orientation using ZXZ extrinsic euler angles.

The first rotation (phi) is about the z-axis (z). The second rotation (theta) is about the new x-axis (x’). The third rotation (psi) is about the new z-axis (z’‘) after the second rotation.

All rotations are of the coordinate axes and not of point coordinates.

Parameters:

• phi (float, optional) – First rotation about the z-axis (z).
• theta (float, optional) – Second rotation about the new x-axis (x’).
• psi (float, optional) – Third rotation about the new z-axis (z’‘).
• unit (str, optional) – Whether rotations are in degrees “deg” or radians “rad”.

__init__(phi=0.0, theta=0.0, psi=0.0, unit='deg')

Methods

__init__([phi, theta, psi, unit])
copy()	Returns a copy of the euler object.
degrees([inplace])	Converts Euler object to describe rotations in units of degrees.
invert([inplace])	Returns a copy of euler object with inverted rotations.
normalize([inplace])	Returns a copy of euler object with rotations in old I3 bounds.
pos_string()	Returns string of angles in old I3 pos format.
radians([inplace])	Converts Euler object to describe rotations in units of radians.
to_matrix()	Returns the RotationMatrix object equivalent of Euler object.
trf_string()	Returns string of angles in new I3 trf format.

Attributes

angles	list of float – Array of rotations in order.
phi	float – First rotation about the z-axis (z).
psi	float – Third rotation about the new z-axis (z”).
theta	float – Second rotation about the new x-axis (x’).
unit	str – Describes the unit of rotations as degrees or radians.