the Wigner-d matrices d_0(pi/2) .. d_L(pi/2) as pairs (n, d_n), held up to bandwidth 256 and streamed by the recursion above

Syntax

pairs = list(halfPiDegrees(8))

D_n(pi/2), a (2n+1) x (2n+1) matrix per degree.

pairs = list(halfPiDegrees(8, dtype=np.float32))

In single precision.

Description

Every coefficient transform walks the degrees in order and needs one matrix at a time; up to bandwidth 256 the matrices are computed once per dtype and kept, above it the recursion yields them one after the other without holding them.

Input

L the largest degree

Keywords

keyword default description
dtype np.float64 the floating point type of the matrices

Output

pairs an iterator of (n, d_n), n = 0 .. L

See also

wignerd, sphericalTransform

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/halfPiDegrees_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.