A method of vector3d.

uniformly distributed unit vectors or axes, on the sphere or in a sphericalRegion given last; rng= a NumPy random generator

Syntax

v = vector3d.rand()

One random unit vector.

v = vector3d.rand(m, n)

An m x n array of them.

v = vector3d.rand(100, antipodal=True)

Random axes.

v = vector3d.rand(100, sR)

Uniform in the region sR.

v = vector3d.rand(100, rng=np.random.default_rng(0))

Reproducible.

Description

In a region the uniform vectors outside it are rejected until enough are left.

Input

shape the sizes of the array, one tuple or several integers, and a sphericalRegion as the last argument

Keywords

keyword default description
antipodal False the vectors as axes
rng None the NumPy random generator, a fresh one by default

Output

v vector3d of unit vectors

See also

rotation.rand, equispacedS2Grid

MATLAB’s vector3d.rand

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/vector3d.rand_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.