Series expansions for converting between auxiliary latitudes

<p>This data accompanies the paper</p> <blockquote> <p>C. F. F. Karney,<br><a href="https://doi.org/10.1080/00396265.2023.2217604">On auxiliary latitudes</a>,<br>Survey Review <strong>56</strong>(395), 165-180 (2024).</p> <p>Journal article:&nbsp;<a href="https://doi.org/10.1080/00396265.2023.2217604">doi:10.1080/00396265.2023.2217604</a></p> <p>Preprint: <a href="https://arxiv.org/abs/2212.05818">https://arxiv.org/abs/2212.05818</a></p> </blockquote> <p>Files:</p> <ul> <li><code>auxlat.mac</code>: the Maxima code used to obtain the series expansions. Instructions for using this code are included in the file.</li> <li><code>auxvals40.mac</code>: the 40th-order series in Maxima notation.</li> <li><code>auxvals6.m</code>, <code>auxvals16.m</code>, and <code>auxvals40.m</code>: the 6th-, 16th-, and 40th-order series as Octave/MATLAB code. The 40th-order series are given as floating-point numbers; the others are as exact fractions.</li> <li><code>AuxLatitude.hpp</code>, <code>AuxLatitude.cpp</code>, and <code>example-AuxLatitude.cpp</code>: C++ code implementing the conversions between auxiliary latitudes both using the series expansions and with direct evaluation of the defining equations.</li> </ul>