A method of vector3d.

isclose(v, w), isclose(v, w, antipodal=True, tol=): pointing the same way up to the group of a crystal frame within the tolerance tol of the cosine, and up to sign when antipodal (MATLAB’s eq)

Syntax

b = v.isclose(w)

The same direction.

b = v.isclose(w, antipodal=True)

The same axis.

b = v.isclose(w, tol=1e-6)

A coarser tolerance.

Description

True where <v, w> differs from |v| |w| by less than tol, the product reduced over the group of a crystal frame; vectors of different frames are never close. The operator == compares exactly.

Input

v, w vector3d or Miller

Keywords

keyword default description
antipodal False up to sign, also when neither vector is antipodal
tol 1e-10 the tolerance of the cosine times the lengths

Output

b boolean array

See also

vector3d.angle, vector3d.dot

MATLAB’s vector3d.eq

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.eq_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.