NeoEuler#

class orix.vector.NeoEuler(data=None)[source]#

Bases: Vector3d, ABC

Base class for neo-Eulerian vectors.

Attributes

`NeoEuler.angle`	Return the angles of rotation.
`NeoEuler.axis`	Return the axes of rotation.
`NeoEuler.azimuth`	Azimuth spherical coordinate, i.e. the angle \(\phi \in [0, 2\pi]\) from the positive z-axis to a point on the sphere, according to the ISO 31-11 standard [Weisstein, 2005].
`NeoEuler.data`	Return the data.
`NeoEuler.ndim`	Return the number of navigation dimensions of the object.
`NeoEuler.norm`	Return the norm of the data.
`NeoEuler.perpendicular`	Return the perpendicular vectors.
`NeoEuler.polar`	Polar spherical coordinate, i.e. the angle \(\theta \in [0, \pi]\) from the positive z-axis to a point on the sphere, according to the ISO 31-11 standard [Weisstein, 2005].
`NeoEuler.radial`	Return the radial spherical coordinate, i.e. the distance from a point on the sphere to the origin, according to the ISO 31-11 standard [Weisstein, 2005].
`NeoEuler.shape`	Return the shape of the object.
`NeoEuler.size`	Return the total number of entries in this object.
`NeoEuler.unit`	Return the unit object.
`NeoEuler.x`	Return or set the x coordinates.
`NeoEuler.xyz`	Return the coordinates as three arrays, useful for plotting.
`NeoEuler.y`	Return or set the y coordinates.
`NeoEuler.z`	Return or set the z coordinate.

Methods

`NeoEuler.angle_with`(other[, degrees])	Return the angles between these vectors in other vectors.
`NeoEuler.cross`(other)	Return the cross product of a vector with another vector.
`NeoEuler.dot`(other)	Return the dot products \(D\) of the vectors.
`NeoEuler.dot_outer`(other[, lazy, ...])	Return the outer dot products of all vectors and all the other vectors.
`NeoEuler.draw_circle`([projection, figure, ...])	Draw great or small circles with a given `opening_angle` to to the vectors in the stereographic projection.
`NeoEuler.empty`()	Return an empty object with the appropriate dimensions.
`NeoEuler.flatten`()	Return a new object with the same data in a single column.
`NeoEuler.from_path_ends`(vectors[, close, steps])	Return vectors along the shortest path on the sphere between two or more consectutive vectors.
`NeoEuler.from_polar`(azimuth, polar[, ...])	Initialize from spherical coordinates according to the ISO 31-11 standard [Weisstein, 2005].
`NeoEuler.from_rotation`(rotation)	Create vectors in neo-Eulerian representation from rotations.
`NeoEuler.get_circle`([opening_angle, steps])	Get vectors delineating great or small circle(s) with a given `opening_angle` about each vector.
`NeoEuler.get_nearest`(x[, inclusive, tiebreak])	Return the vector in `x` with the smallest angle to this vector.
`NeoEuler.get_random_sample`([size, replace, ...])	Return a new flattened object from a random sample of a given size.
`NeoEuler.in_fundamental_sector`(symmetry)	Project vectors to a symmetry's fundamental sector (inverse pole figure).
`NeoEuler.inverse_pole_density_function`([...])	Plot the Inverse Pole Density Function (IPDF) within the fundamental sector of a given point group symmetry in the stereographic projection.
`NeoEuler.mean`()	Return the mean vector.
`NeoEuler.pole_density_function`([resolution, ...])	Plot the Pole Density Function (PDF) on a given hemisphere in the stereographic projection.
`NeoEuler.random`([shape])	Create object with random data.
`NeoEuler.reshape`(*shape)	Return a new object with the same data in a new shape.
`NeoEuler.rotate`([axis, angle])	Convenience function for rotating this vector.
`NeoEuler.scatter`([projection, figure, ...])	Plot vectors in the stereographic projection.
`NeoEuler.squeeze`()	Return a new object with the same data with length 1-dimensions removed.
`NeoEuler.stack`(sequence)	Return a stacked object from the sequence.
`NeoEuler.to_polar`([degrees])	Return the azimuth \(\phi\), polar \(\theta\), and radial \(r\) spherical coordinates defined as in the ISO 31-11 standard [Weisstein, 2005].
`NeoEuler.transpose`(*axes)	Return a new object with the same data transposed.
`NeoEuler.unique`([return_index, return_inverse])	Return a new object containing only this object's unique entries.
`NeoEuler.xvector`()	Return a unit vector in the x-direction.
`NeoEuler.yvector`()	Return a unit vector in the y-direction.
`NeoEuler.zero`([shape])	Return zero vectors in the specified shape.
`NeoEuler.zvector`()	Return a unit vector in the z-direction.