the section a coordinate falls in, or -1 when it falls beside every one: the distance to a section value taken over the period of the coordinate

Syntax

k = sectionIndex(x, values, tol)

The nearest section within tol, -1 beside every one.

k = sectionIndex(x, values, tol, period=360*degree)

A coordinate that wraps, 359 degree next to 0.

Description

Every coordinate is compared with every section value; the nearest one is taken when it lies within tol, else -1. With a finite period the distance is taken modulo the period, so the sections of an angle that turns are found across its seam.

Input

x array of coordinates, the angles that pick the section
values the section values
tol the largest distance from a section value that still falls into it

Keywords

keyword default description
period inf the period of the coordinate, inf for one that does not wrap

Output

k int array of the shape of x, the index of the section or -1

See also

sectionTolerance, ODFSections, newODFSectionPlot

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/sectionIndex_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.