A method of vector3d.

the disjoint list of vectors, equal ones within a tolerance taken once

Syntax

u = unique(v)

Sorted, each vector once.

u = unique(v, tol=0.01)

A larger tolerance.

u = unique(v, antipodal=True)

V and -v the same.

u = unique(v, stable=True)

In the order of their first appearance.

u, iv, iu = unique(v, return_index=True, return_inverse=True)

U = v[iv], v = u[iu].

Description

Axes are equal up to sign; antipodal=True takes them so always, antipodal=False never. Crystal directions in a frame with symmetry are equal when they are symmetrically equivalent: they are projected to the fundamental sector first.

Input

v vector3d

Keywords

keyword default description
tol 1e-06 the tolerance of the coordinates within which vectors are equal
antipodal None take the vectors as axes: True always, False never; by default where they are axes
symmetry True take the symmetric equivalents of crystal directions into account
stable False keep the order of the first appearances rather than sorting
return_index False also return the indices iv of the kept vectors
return_inverse False also return the indices iu reconstructing the list

Output

u vector3d, one dimensional
iv array, the indices with u = v.flat[iv], with return_index=True
iu array, the indices with v.flat = u[iu], with return_inverse=True

See also

vector3d.symmetrise, vector3d.mean

MATLAB’s Miller.unique

source

Citing this page. This page is part of the documentation of MTEX, a free and open source MATLAB toolbox for analyzing and modeling crystallographic textures. It was written by The MTEX Developers and is published at https://mtex-toolbox.github.io/Miller.unique_py.html. If you use MTEX, or reuse text or figures from this page, in your research, please cite

F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63

BibTeX 
@article{bachmann2010mtex,
  author  = {F. Bachmann and R. Hielscher and H. Schaeben},
  title   = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
  journal = {Solid State Phenomena},
  volume  = {160},
  pages   = {63-68},
  year    = {2010},
  doi     = {10.4028/www.scientific.net/SSP.160.63},
  url     = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}

Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.