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<h3>
Antonio Valentino pushed to branch upstream
at <a href="https://salsa.debian.org/debian-gis-team/pymap3d">Debian GIS Project / pymap3d</a>
</h3>
<h4>
Commits:
</h4>
<ul>
<li>
<strong><a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a">486084e0</a></strong>
<div>
<span>by Antonio Valentino</span>
<i>at 2021-03-21T11:27:56+00:00</i>
</div>
<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">New upstream version 2.6.0</pre>
</li>
</ul>
<h4>22 changed files:</h4>
<ul>
<li class="file-stats">
<a href="#899ce9c202bf7bb5480e72836c3edc773c9c4244">
.github/workflows/ci.yml
</a>
</li>
<li class="file-stats">
<a href="#852d49dfc16757c765598d826b881254caddcefe">
.github/workflows/ci_stdlib_only.yml
</a>
</li>
<li class="file-stats">
<a href="#8ec9a00bfd09b3190ac6b22251dbb1aa95a0579d">
README.md
</a>
</li>
<li class="file-stats">
<a href="#5d07e7d72637aa0d59c89d381fe6dc4cf46e2491">
pyproject.toml
</a>
</li>
<li class="file-stats">
<a href="#b18cf97940bbbba095fbeb00fb5d0459f22f3581">
<span class="new-file">
+
scripts/benchmark_ecef2geo.py
</span>
</a>
</li>
<li class="file-stats">
<a href="#58c3fd96cfb1acc9170a2d87cfc032e1e9810377">
scripts/benchmark_vincenty.py
</a>
</li>
<li class="file-stats">
<a href="#8c91c0296909b5ea3c496fde69e9dc44a6c6ae5f">
setup.cfg
</a>
</li>
<li class="file-stats">
<a href="#d9ff960f9218a74ae2a39a3e3591719cc505b4cb">
src/pymap3d/aer.py
</a>
</li>
<li class="file-stats">
<a href="#ecc34693959e48c0de67a93ea500586df92fd7e3">
src/pymap3d/ecef.py
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<li class="file-stats">
<a href="#ec7f5c7c219fbb03688128c9eb594ec67c42a909">
src/pymap3d/enu.py
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<li class="file-stats">
<a href="#0079c32338ba7e19ac03054f47121fa322c7ec63">
src/pymap3d/latitude.py
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<li class="file-stats">
<a href="#74a51fe6b25e5ae7465fda06411dc1295d026ed0">
src/pymap3d/los.py
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<li class="file-stats">
<a href="#590f4e17d3157521257df41e2ce2594f5cd8b5b8">
src/pymap3d/lox.py
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<li class="file-stats">
<a href="#f6c774dc2c8bf51c94d845cc9c92b3d67bbb2e47">
src/pymap3d/ned.py
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<li class="file-stats">
<a href="#6cbc54d8cdf76808c5a50695ca26b2955228f5ab">
src/pymap3d/rcurve.py
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</li>
<li class="file-stats">
<a href="#0184652266be65951f0465bd7701ea0e4f49bf4e">
src/pymap3d/rsphere.py
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</li>
<li class="file-stats">
<a href="#52a895ab74a06afea2650b6819941ceaab7b697d">
<span class="new-file">
+
src/pymap3d/tests/__init__.py
</span>
</a>
</li>
<li class="file-stats">
<a href="#9e553593b34fa6c844e40a27e64ee6af367c41e4">
src/pymap3d/tests/test_aer.py
</a>
</li>
<li class="file-stats">
<a href="#1067fa4c2eb7257482ce1371d2dcbdb58be76199">
src/pymap3d/tests/test_geodetic.py
</a>
</li>
<li class="file-stats">
<a href="#59700bf05771ef96649764fc371010f91f3f83d5">
src/pymap3d/tests/test_vincenty_vreckon.py
</a>
</li>
<li class="file-stats">
<a href="#fe98e6b6f9e985ffc694a800123eb551930390b7">
src/pymap3d/utils.py
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</li>
<li class="file-stats">
<a href="#b3a86c8dec47b52d72c15e01f9e8d27b6c10061f">
src/pymap3d/vincenty.py
</a>
</li>
</ul>
<h4>Changes:</h4>
<li id="899ce9c202bf7bb5480e72836c3edc773c9c4244">
<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#899ce9c202bf7bb5480e72836c3edc773c9c4244"><strong>.github/workflows/ci.yml</strong></a>
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<td class="diff-line-num unfold js-unfold new_line" data-linenumber="4" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -4,6 +4,7 @@ on:</td>
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<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC4" class="line" lang="yaml"> <span class="na" style="color: #008080;">push</span><span class="pi">:</span></span>
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<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC5" class="line" lang="yaml"> <span class="na" style="color: #008080;">paths</span><span class="pi">:</span></span>
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<td class="old_line diff-line-num" data-linenumber="6" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
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<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC6" class="line" lang="yaml"> <span class="pi">-</span> <span class="s2" style="color: #d14;">"</span><span class="s" style="color: #d14;">**.py"</span></span>
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<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">
<pre style="margin: 0;">+<span id="LC7" class="line" lang="yaml"> <span class="pi">-</span> <span class="s" style="color: #d14;">.github/workflows/ci.yml</span></span>
</pre>
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<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC8" class="line" lang="yaml"></span>
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<td class="old_line diff-line-num" data-linenumber="8" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
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<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC9" class="line" lang="yaml"></span>
</pre>
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<tr class="line_holder" id="" style="line-height: 1.6;">
<td class="old_line diff-line-num" data-linenumber="9" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
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<td class="new_line diff-line-num" data-linenumber="10" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
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<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC10" class="line" lang="yaml"><span class="na" style="color: #008080;">jobs</span><span class="pi">:</span></span>
</pre>
</td>
</tr>
</table>
<br>
</li>
<li id="852d49dfc16757c765598d826b881254caddcefe">
<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#852d49dfc16757c765598d826b881254caddcefe"><strong>.github/workflows/ci_stdlib_only.yml</strong></a>
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<td class="diff-line-num unfold js-unfold new_line" data-linenumber="4" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -4,6 +4,7 @@ on:</td>
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<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC4" class="line" lang="yaml"> <span class="na" style="color: #008080;">push</span><span class="pi">:</span></span>
</pre>
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<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC5" class="line" lang="yaml"> <span class="na" style="color: #008080;">paths</span><span class="pi">:</span></span>
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<td class="old_line diff-line-num" data-linenumber="6" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
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<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC6" class="line" lang="yaml"> <span class="pi">-</span> <span class="s2" style="color: #d14;">"</span><span class="s" style="color: #d14;">**.py"</span></span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="yaml"> <span class="pi">-</span> <span class="s" style="color: #d14;">.github/workflows/ci_stdlib_only.yml</span></span>
</pre>
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<pre style="margin: 0;"> <span id="LC8" class="line" lang="yaml"></span>
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="yaml"></span>
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<td class="old_line diff-line-num" data-linenumber="9" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
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<td class="line_content" style="padding-left: 0.5em; padding-right: 0.5em;">
<pre style="margin: 0;"> <span id="LC10" class="line" lang="yaml"><span class="na" style="color: #008080;">jobs</span><span class="pi">:</span></span>
</pre>
</td>
</tr>
</table>
<br>
</li>
<li id="8ec9a00bfd09b3190ac6b22251dbb1aa95a0579d">
<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#8ec9a00bfd09b3190ac6b22251dbb1aa95a0579d"><strong>README.md</strong></a>
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<td class="diff-line-num unfold js-unfold new_line" data-linenumber="2" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
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<pre style="margin: 0;"> <span id="LC3" class="line" lang="markdown"><span class="p">[</span><span class="nv" style="color: #008080;">![image</span><span class="p">](</span><span class="sx" style="color: #d14;">https://zenodo.org/badge/DOI/10.5281/zenodo.213676.svg</span><span class="p">)</span>](https://doi.org/10.5281/zenodo.213676)</span>
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<pre style="margin: 0;"> <span id="LC4" class="line" lang="markdown"><span class="p">[</span><span class="nv" style="color: #008080;">![image</span><span class="p">](</span><span class="sx" style="color: #d14;">http://joss.theoj.org/papers/10.21105/joss.00580/status.svg</span><span class="p">)</span>](https://doi.org/10.21105/joss.00580)</span>
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<pre style="margin: 0;">-<span id="LC5" class="line" lang="markdown"><span class="p">[</span><span class="nv" style="color: #008080;">![astronomer</span><span class="p">](</span><span class="sx" style="color: #d14;">https://img.shields.io/endpoint.svg?url=https%3A%2F%2Fastronomer.ullaakut.eu%2Fshields%3Fowner%3Dscivision%26name%3Dpymap3d</span><span class="p">)</span>](https://github.com/Ullaakut/astronomer/)</span>
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="markdown"><span class="p">[</span><span class="nv" style="color: #008080;">![Language grade: Python</span><span class="p">](</span><span class="sx" style="color: #d14;">https://img.shields.io/lgtm/grade/python/g/geospace-code/pymap3d.svg?logo=lgtm&logoWidth=18</span><span class="p">)</span>](https://lgtm.com/projects/g/geospace-code/pymap3d/context:python)</span>
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<pre style="margin: 0;"> <span id="LC6" class="line" lang="markdown"><span class="p">![</span><span class="nv" style="color: #008080;">Actions Status</span><span class="p">](</span><span class="sx" style="color: #d14;">https://github.com/geospace-code/pymap3d/workflows/ci/badge.svg</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC7" class="line" lang="markdown"><span class="p">![</span><span class="nv" style="color: #008080;">Actions Status</span><span class="p">](</span><span class="sx" style="color: #d14;">https://github.com/geospace-code/pymap3d/workflows/ci_stdlib_only/badge.svg</span><span class="p">)</span></span>
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<li id="5d07e7d72637aa0d59c89d381fe6dc4cf46e2491">
<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#5d07e7d72637aa0d59c89d381fe6dc4cf46e2491"><strong>pyproject.toml</strong></a>
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<pre style="margin: 0;">-<span id="LC1" class="line" lang="toml"><span class="nn" style="color: #555;">[build-system]</span></span>
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<pre style="margin: 0;">-<span id="LC2" class="line" lang="toml"><span class="py">requires</span> <span class="p">=</span> <span class="p">[</span><span class="s" style="color: #d14;">"setuptools"</span><span class="p">,</span> <span class="s" style="color: #d14;">"wheel"</span><span class="p">]</span></span>
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<pre style="margin: 0;">+<span id="LC1" class="line" lang="toml"><span class="nn" style="color: #555;">[project]</span></span>
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<pre style="margin: 0;">+<span id="LC2" class="line" lang="toml"><span class="py">name</span> <span class="p">=</span> <span class="s" style="color: #d14;">"pymap3d"</span></span>
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<pre style="margin: 0;">+<span id="LC3" class="line" lang="toml"><span class="py">version</span> <span class="p">=</span> <span class="s" style="color: #d14;">"2.5.1"</span></span>
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<pre style="margin: 0;">+<span id="LC4" class="line" lang="toml"><span class="py">description</span> <span class="p">=</span> <span class="s" style="color: #d14;">"pure Python (no prereqs) coordinate conversions, following convention of several popular Matlab routines."</span></span>
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<pre style="margin: 0;">+<span id="LC5" class="line" lang="toml"><span class="py">readme</span> <span class="p">=</span> <span class="s" style="color: #d14;">"README.md"</span></span>
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="toml"><span class="py">requires-python</span> <span class="p">=</span> <span class="s" style="color: #d14;">">=3.7"</span></span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="toml"><span class="nn" style="color: #555;">license</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">{</span><span class="py">file</span> <span class="p">=</span> <span class="s" style="color: #d14;">"LICENSE.txt"</span><span class="p">}</span></span>
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="toml"><span class="py">keywords</span> <span class="p">=</span> <span class="nn" style="color: #555;">["geodesy"]</span></span>
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<pre style="margin: 0;">+<span id="LC9" class="line" lang="toml"><span class="py">classifiers</span> <span class="p">=</span> <span class="p">[</span></span>
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<pre style="margin: 0;">+<span id="LC10" class="line" lang="toml"> <span class="s" style="color: #d14;">'Development Status :: 5 - Production/Stable'</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC11" class="line" lang="toml"> <span class="s" style="color: #d14;">'Environment :: Console'</span><span class="p">,</span></span>
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12
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<pre style="margin: 0;">+<span id="LC12" class="line" lang="toml"> <span class="s" style="color: #d14;">'Intended Audience :: Science/Research'</span><span class="p">,</span></span>
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13
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<pre style="margin: 0;">+<span id="LC13" class="line" lang="toml"> <span class="s" style="color: #d14;">'Operating System :: OS Independent'</span><span class="p">,</span></span>
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14
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<pre style="margin: 0;">+<span id="LC14" class="line" lang="toml"> <span class="s" style="color: #d14;">'Programming Language :: Python :: 3'</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC15" class="line" lang="toml"> <span class="s" style="color: #d14;">'Topic :: Scientific/Engineering :: GIS'</span></span>
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<pre style="margin: 0;">+<span id="LC16" class="line" lang="toml"><span class="p">]</span></span>
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<pre style="margin: 0;">+<span id="LC17" class="line" lang="toml"><span class="py">authors</span> <span class="p">=</span> <span class="p">[</span><span class="err" style="color: #a61717; background-color: #e3d2d2;">{name</span> <span class="err" style="color: #a61717; background-color: #e3d2d2;">=</span> <span class="s" style="color: #d14;">"Michael Hirsch"</span><span class="err" style="color: #a61717; background-color: #e3d2d2;">}</span><span class="p">]</span></span>
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<pre style="margin: 0;">+<span id="LC18" class="line" lang="toml"></span>
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<pre style="margin: 0;">+<span id="LC19" class="line" lang="toml"><span class="nn" style="color: #555;">[project.urls]</span></span>
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<pre style="margin: 0;">+<span id="LC20" class="line" lang="toml"><span class="py">homepage</span> <span class="p">=</span> <span class="s" style="color: #d14;">"https://github.com/geospace-code/pymap3d"</span></span>
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21
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<pre style="margin: 0;">+<span id="LC21" class="line" lang="toml"></span>
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<pre style="margin: 0;">+<span id="LC22" class="line" lang="toml"><span class="nn" style="color: #555;">[project.optional-dependencies]</span></span>
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23
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<pre style="margin: 0;">+<span id="LC23" class="line" lang="toml"><span class="py">test</span> <span class="p">=</span> <span class="p">[</span></span>
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24
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<pre style="margin: 0;">+<span id="LC24" class="line" lang="toml"> <span class="s" style="color: #d14;">"pytest"</span></span>
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25
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<pre style="margin: 0;">+<span id="LC25" class="line" lang="toml"><span class="p">]</span></span>
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26
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<pre style="margin: 0;">+<span id="LC26" class="line" lang="toml"><span class="py">lint</span> <span class="p">=</span> <span class="p">[</span></span>
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27
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<pre style="margin: 0;">+<span id="LC27" class="line" lang="toml"> <span class="s" style="color: #d14;">"flake8"</span><span class="p">,</span></span>
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28
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<pre style="margin: 0;">+<span id="LC28" class="line" lang="toml"> <span class="s" style="color: #d14;">"flake8-bugbear"</span><span class="p">,</span></span>
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29
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<pre style="margin: 0;">+<span id="LC29" class="line" lang="toml"> <span class="s" style="color: #d14;">"flake8-builtins"</span><span class="p">,</span></span>
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30
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<pre style="margin: 0;">+<span id="LC30" class="line" lang="toml"> <span class="s" style="color: #d14;">"flake8-blind-except"</span><span class="p">,</span></span>
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31
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<pre style="margin: 0;">+<span id="LC31" class="line" lang="toml"> <span class="s" style="color: #d14;">"mypy >= 0.800"</span></span>
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32
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<pre style="margin: 0;">+<span id="LC32" class="line" lang="toml"><span class="p">]</span></span>
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33
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<pre style="margin: 0;">+<span id="LC33" class="line" lang="toml"><span class="py">full</span> <span class="p">=</span> <span class="p">[</span></span>
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34
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<pre style="margin: 0;">+<span id="LC34" class="line" lang="toml"> <span class="s" style="color: #d14;">"python-dateutil"</span><span class="p">,</span></span>
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35
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<pre style="margin: 0;">+<span id="LC35" class="line" lang="toml"> <span class="s" style="color: #d14;">"numpy >= 1.10.0"</span><span class="p">,</span></span>
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36
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<pre style="margin: 0;">+<span id="LC36" class="line" lang="toml"> <span class="s" style="color: #d14;">"astropy"</span><span class="p">,</span></span>
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37
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<pre style="margin: 0;">+<span id="LC37" class="line" lang="toml"> <span class="s" style="color: #d14;">"xarray"</span></span>
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38
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<pre style="margin: 0;">+<span id="LC38" class="line" lang="toml"><span class="p">]</span></span>
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39
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<pre style="margin: 0;"> <span id="LC39" class="line" lang="toml"></span>
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<pre style="margin: 0;"> <span id="LC40" class="line" lang="toml"><span class="nn" style="color: #555;">[tool.black]</span></span>
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41
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<pre style="margin: 0;"> <span id="LC41" class="line" lang="toml"><span class="py">line-length</span> <span class="p">=</span> <span class="mi" style="color: #099;">100</span></span>
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<pre style="margin: 0;"> <span id="LC42" class="line" lang="toml"></span>
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<pre style="margin: 0;"> <span id="LC43" class="line" lang="toml"><span class="nn" style="color: #555;">[tool.pytest.ini_options]</span></span>
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<pre style="margin: 0;">-<span id="LC8" class="line" lang="toml"><span class="py">addopts</span> <span class="p">=</span> <span class="s" style="color: #d14;">"-ra<span class="idiff left right"> -v</span>"</span></span></pre>
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<pre style="margin: 0;">+<span id="LC44" class="line" lang="toml"><span class="py">addopts</span> <span class="p">=</span> <span class="s" style="color: #d14;">"-ra"</span></span></pre>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#b18cf97940bbbba095fbeb00fb5d0459f22f3581"><strong>scripts/benchmark_ecef2geo.py</strong></a>
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<pre style="margin: 0;">+<span id="LC1" class="line" lang="python"><span class="c1" style="color: #998; font-style: italic;">#!/usr/bin/env python3</span></span>
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<pre style="margin: 0;">+<span id="LC2" class="line" lang="python"><span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;">+<span id="LC3" class="line" lang="python"><span class="s" style="color: #d14;">benchmark ecef2geodetic</span></span>
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<pre style="margin: 0;">+<span id="LC4" class="line" lang="python"><span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;">+<span id="LC5" class="line" lang="python"><span class="kn" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">time</span></span>
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">pymap3d.ecef</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">ecef2geodetic</span></span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="python"><span class="kn" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">numpy</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">np</span></span>
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8
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="python"><span class="kn" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">argparse</span></span>
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9
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<pre style="margin: 0;">+<span id="LC9" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC10" class="line" lang="python"><span class="n" style="color: #333;">ll0</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="mf" style="color: #099;">42.0</span><span class="p">,</span> <span class="mf" style="color: #099;">82.0</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC11" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC12" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC13" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">bench</span><span class="p">(</span><span class="n" style="color: #333;">N</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">int</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC14" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC15" class="line" lang="python"> <span class="n" style="color: #333;">x</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">np</span><span class="p">.</span><span class="n" style="color: #333;">random</span><span class="p">.</span><span class="n" style="color: #333;">random</span><span class="p">(</span><span class="n" style="color: #333;">N</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC16" class="line" lang="python"> <span class="n" style="color: #333;">y</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">np</span><span class="p">.</span><span class="n" style="color: #333;">random</span><span class="p">.</span><span class="n" style="color: #333;">random</span><span class="p">(</span><span class="n" style="color: #333;">N</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC17" class="line" lang="python"> <span class="n" style="color: #333;">z</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">np</span><span class="p">.</span><span class="n" style="color: #333;">random</span><span class="p">.</span><span class="n" style="color: #333;">random</span><span class="p">(</span><span class="n" style="color: #333;">N</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC18" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC19" class="line" lang="python"> <span class="n" style="color: #333;">tic</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">time</span><span class="p">.</span><span class="n" style="color: #333;">monotonic</span><span class="p">()</span></span>
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<pre style="margin: 0;">+<span id="LC20" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">,</span> <span class="n" style="color: #333;">alt</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ecef2geodetic</span><span class="p">(</span><span class="n" style="color: #333;">x</span><span class="p">,</span> <span class="n" style="color: #333;">y</span><span class="p">,</span> <span class="n" style="color: #333;">z</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC21" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC22" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">time</span><span class="p">.</span><span class="n" style="color: #333;">monotonic</span><span class="p">()</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">tic</span></span>
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<pre style="margin: 0;">+<span id="LC23" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC24" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC25" class="line" lang="python"><span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">__name__</span> <span class="o" style="font-weight: 600;">==</span> <span class="s" style="color: #d14;">"__main__"</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC26" class="line" lang="python"> <span class="n" style="color: #333;">p</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">argparse</span><span class="p">.</span><span class="n" style="color: #333;">ArgumentParser</span><span class="p">()</span></span>
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<pre style="margin: 0;">+<span id="LC27" class="line" lang="python"> <span class="n" style="color: #333;">p</span><span class="p">.</span><span class="n" style="color: #333;">add_argument</span><span class="p">(</span><span class="s" style="color: #d14;">"N"</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">type</span><span class="o" style="font-weight: 600;">=</span><span class="nb" style="color: #0086b3;">int</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC28" class="line" lang="python"> <span class="n" style="color: #333;">p</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">p</span><span class="p">.</span><span class="n" style="color: #333;">parse_args</span><span class="p">()</span></span>
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<pre style="margin: 0;">+<span id="LC29" class="line" lang="python"> <span class="n" style="color: #333;">N</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">p</span><span class="p">.</span><span class="n" style="color: #333;">N</span></span>
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<pre style="margin: 0;">+<span id="LC30" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC31" class="line" lang="python"> <span class="k" style="font-weight: 600;">print</span><span class="p">(</span><span class="sa">f</span><span class="s" style="color: #d14;">"ecef2geodetic: </span><span class="si" style="color: #d14;">{</span><span class="n" style="color: #333;">bench</span><span class="p">(</span><span class="n" style="color: #333;">N</span><span class="p">):.</span><span class="mi" style="color: #099;">3</span><span class="n" style="color: #333;">f</span><span class="si" style="color: #d14;">}</span><span class="s" style="color: #d14;"> seconds"</span><span class="p">)</span></span></pre>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#58c3fd96cfb1acc9170a2d87cfc032e1e9810377"><strong>scripts/benchmark_vincenty.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -31,7 +31,7 @@ def bench_vreckon(N: int) -> float:</td>
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<pre style="margin: 0;"> <span id="LC31" class="line" lang="python"> <span class="n" style="color: #333;">az</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">np</span><span class="p">.</span><span class="n" style="color: #333;">random</span><span class="p">.</span><span class="n" style="color: #333;">random</span><span class="p">(</span><span class="n" style="color: #333;">N</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC32" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC33" class="line" lang="python"> <span class="n" style="color: #333;">tic</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">time</span><span class="p">.</span><span class="n" style="color: #333;">monotonic</span><span class="p">()</span></span>
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<pre style="margin: 0;">-<span id="LC34" class="line" lang="python"> <span class="n" style="color: #333;">a</span><span class="p">,</span> <span class="n" style="color: #333;">b</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vreckon</span><span class="p">(</span><span class="o" style="font-weight: 600;"><span class="idiff left right">*</span></span><span class="n" style="color: #333;">ll0</span><span class="p">,</span> <span class="n" style="color: #333;">sr</span><span class="p">,</span> <span class="n" style="color: #333;">az</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC34" class="line" lang="python"> <span class="n" style="color: #333;">a</span><span class="p">,</span> <span class="n" style="color: #333;">b</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vreckon</span><span class="p">(</span><span class="n" style="color: #333;">ll0</span><span class="p"><span class="idiff left">[</span></span><span class="mi" style="color: #099;"><span class="idiff">0</span></span><span class="p"><span class="idiff">],</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ll0</span></span><span class="p"><span class="idiff">[</span></span><span class="mi" style="color: #099;"><span class="idiff">1</span></span><span class="p"><span class="idiff right">]</span>,</span> <span class="n" style="color: #333;">sr</span><span class="p">,</span> <span class="n" style="color: #333;">az</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC35" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC36" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">time</span><span class="p">.</span><span class="n" style="color: #333;">monotonic</span><span class="p">()</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">tic</span></span>
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<pre style="margin: 0;"> <span id="LC37" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -41,7 +41,7 @@ def bench_vdist(N: int) -> float:</td>
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<pre style="margin: 0;"> <span id="LC41" class="line" lang="python"> <span class="n" style="color: #333;">lon</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">np</span><span class="p">.</span><span class="n" style="color: #333;">random</span><span class="p">.</span><span class="n" style="color: #333;">random</span><span class="p">(</span><span class="n" style="color: #333;">N</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC42" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC43" class="line" lang="python"> <span class="n" style="color: #333;">tic</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">time</span><span class="p">.</span><span class="n" style="color: #333;">monotonic</span><span class="p">()</span></span>
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<pre style="margin: 0;">-<span id="LC44" class="line" lang="python"> <span class="n" style="color: #333;">asr</span><span class="p">,</span> <span class="n" style="color: #333;">aaz</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vdist</span><span class="p">(</span><span class="o" style="font-weight: 600;"><span class="idiff left right">*</span></span><span class="n" style="color: #333;">ll0</span><span class="p">,</span> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC44" class="line" lang="python"> <span class="n" style="color: #333;">asr</span><span class="p">,</span> <span class="n" style="color: #333;">aaz</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vdist</span><span class="p">(</span><span class="n" style="color: #333;">ll0</span><span class="p"><span class="idiff left">[</span></span><span class="mi" style="color: #099;"><span class="idiff">0</span></span><span class="p"><span class="idiff">],</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ll0</span></span><span class="p"><span class="idiff">[</span></span><span class="mi" style="color: #099;"><span class="idiff">1</span></span><span class="p"><span class="idiff right">]</span>,</span> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC45" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC46" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">time</span><span class="p">.</span><span class="n" style="color: #333;">monotonic</span><span class="p">()</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">tic</span></span>
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<pre style="margin: 0;"> <span id="LC47" class="line" lang="python"></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#8c91c0296909b5ea3c496fde69e9dc44a6c6ae5f"><strong>setup.cfg</strong></a>
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<pre style="margin: 0;"> <span id="LC1" class="line" lang="plaintext">[metadata]</span>
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<pre style="margin: 0;"> <span id="LC2" class="line" lang="plaintext">name = pymap3d</span>
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<pre style="margin: 0;">-<span id="LC3" class="line" lang="plaintext">version = 2.<span class="idiff left right">5</span>.0</span>
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<pre style="margin: 0;">+<span id="LC3" class="line" lang="plaintext">version = 2.<span class="idiff left right">6</span>.0</span>
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<pre style="margin: 0;"> <span id="LC4" class="line" lang="plaintext">author = Michael Hirsch, Ph.D.</span>
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="plaintext">author_email = scivision@users.noreply.github.com</span>
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<pre style="margin: 0;"> <span id="LC6" class="line" lang="plaintext">description = pure Python (no prereqs) coordinate conversions, following convention of several popular Matlab routines.</span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="plaintext">long_description = file: README.md</span>
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="plaintext">long_description_content_type = text/markdown</span>
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="plaintext">url = https://github.com/geospace-code/pymap3d</span>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="plaintext">keywords =</span>
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<pre style="margin: 0;"> <span id="LC11" class="line" lang="plaintext"> coordinate conversion</span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#d9ff960f9218a74ae2a39a3e3591719cc505b4cb"><strong>src/pymap3d/aer.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -20,15 +20,15 @@ __all__ = ["aer2ecef", "ecef2aer", "geodetic2aer", "aer2geodetic", "eci2aer", "a</td>
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<pre style="margin: 0;"> <span id="LC20" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC21" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC22" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">ecef2aer</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC23" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC24" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC25" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC26" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC27" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC28" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC23" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC24" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC25" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC26" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC27" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC28" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC29" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC30" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC31" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC31" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC32" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC33" class="line" lang="python"><span class="s" style="color: #d14;"> compute azimuth, elevation and slant range from an Observer to a Point with ECEF coordinates.</span></span>
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<pre style="margin: 0;"> <span id="LC34" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -69,15 +69,15 @@ def ecef2aer(</td>
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<pre style="margin: 0;"> <span id="LC69" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC70" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC71" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2aer</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC72" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC73" class="line" lang="python"> <span class="n" style="color: #333;">lon</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC74" class="line" lang="python"> <span class="n" style="color: #333;">h</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC75" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC76" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC77" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC72" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC73" class="line" lang="python"> <span class="n" style="color: #333;">lon</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC74" class="line" lang="python"> <span class="n" style="color: #333;">h</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC75" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC76" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC77" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC78" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC79" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC80" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC80" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC81" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC82" class="line" lang="python"><span class="s" style="color: #d14;"> gives azimuth, elevation and slant range from an Observer to a Point with geodetic coordinates.</span></span>
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<pre style="margin: 0;"> <span id="LC83" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -117,15 +117,15 @@ def geodetic2aer(</td>
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<pre style="margin: 0;"> <span id="LC117" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC118" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC119" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">aer2geodetic</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC120" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC121" class="line" lang="python"> <span class="n" style="color: #333;">el</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC122" class="line" lang="python"> <span class="n" style="color: #333;">srange</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC123" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC124" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC125" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC120" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC121" class="line" lang="python"> <span class="n" style="color: #333;">el</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC122" class="line" lang="python"> <span class="n" style="color: #333;">srange</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC123" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC124" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC125" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC126" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC127" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC128" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC128" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC129" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC130" class="line" lang="python"><span class="s" style="color: #d14;"> gives geodetic coordinates of a point with az, el, range</span></span>
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<pre style="margin: 0;"> <span id="LC131" class="line" lang="python"><span class="s" style="color: #d14;"> from an observer at lat0, lon0, h0</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -167,17 +167,17 @@ def aer2geodetic(</td>
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<pre style="margin: 0;"> <span id="LC167" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC168" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC169" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">eci2aer</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC170" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC171" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC172" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC173" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC174" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC175" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC170" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC171" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC172" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC173" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC174" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC175" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC176" class="line" lang="python"> <span class="n" style="color: #333;">t</span><span class="p">:</span> <span class="n" style="color: #333;">datetime</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC177" class="line" lang="python"> <span class="o" style="font-weight: 600;">*</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC178" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC179" class="line" lang="python"> <span class="n" style="color: #333;">use_astropy</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">-<span id="LC180" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC180" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC181" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC182" class="line" lang="python"><span class="s" style="color: #d14;"> takes Earth Centered Inertial x,y,z ECI coordinates of point and gives az, el, slant range from Observer</span></span>
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<pre style="margin: 0;"> <span id="LC183" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -221,18 +221,18 @@ def eci2aer(</td>
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<pre style="margin: 0;"> <span id="LC221" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC222" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC223" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">aer2eci</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC224" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC225" class="line" lang="python"> <span class="n" style="color: #333;">el</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC226" class="line" lang="python"> <span class="n" style="color: #333;">srange</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC227" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC228" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC229" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC224" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC225" class="line" lang="python"> <span class="n" style="color: #333;">el</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC226" class="line" lang="python"> <span class="n" style="color: #333;">srange</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC227" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC228" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC229" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC230" class="line" lang="python"> <span class="n" style="color: #333;">t</span><span class="p">:</span> <span class="n" style="color: #333;">datetime</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC231" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="o" style="font-weight: 600;">=</span><span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC232" class="line" lang="python"> <span class="o" style="font-weight: 600;">*</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC233" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC234" class="line" lang="python"> <span class="n" style="color: #333;">use_astropy</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">-<span id="LC235" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC235" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC236" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC237" class="line" lang="python"><span class="s" style="color: #d14;"> gives ECI of a point from an observer at az, el, slant range</span></span>
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<pre style="margin: 0;"> <span id="LC238" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -280,15 +280,15 @@ def aer2eci(</td>
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<pre style="margin: 0;"> <span id="LC280" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC281" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC282" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">aer2ecef</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC283" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC284" class="line" lang="python"> <span class="n" style="color: #333;">el</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC285" class="line" lang="python"> <span class="n" style="color: #333;">srange</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC286" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC287" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC288" class="line" lang="python"> <span class="n" style="color: #333;">alt0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC283" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC284" class="line" lang="python"> <span class="n" style="color: #333;">el</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC285" class="line" lang="python"> <span class="n" style="color: #333;">srange</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC286" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC287" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC288" class="line" lang="python"> <span class="n" style="color: #333;">alt0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC289" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC290" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC291" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC291" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC292" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC293" class="line" lang="python"><span class="s" style="color: #d14;"> converts target azimuth, elevation, range from observer at lat0,lon0,alt0 to ECEF coordinates.</span></span>
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<pre style="margin: 0;"> <span id="LC294" class="line" lang="python"></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#ecc34693959e48c0de67a93ea500586df92fd7e3"><strong>src/pymap3d/ecef.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -15,12 +15,10 @@ try:</td>
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<pre style="margin: 0;"> <span id="LC15" class="line" lang="python"> <span class="n" style="color: #333;">arctan2</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC16" class="line" lang="python"> <span class="n" style="color: #333;">sqrt</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC17" class="line" lang="python"> <span class="n" style="color: #333;">pi</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC18" class="line" lang="python"> <span class="n" style="color: #333;">vectorize</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC18" class="line" lang="python"> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC19" class="line" lang="python"><span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">ImportError</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC20" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">math</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">sin</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">tan</span><span class="p">,</span> <span class="n" style="color: #333;">atan</span><span class="p">,</span> <span class="n" style="color: #333;">hypot</span><span class="p">,</span> <span class="n" style="color: #333;">degrees</span><span class="p">,</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">sqrt</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC21" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC23" class="line" lang="python"> <span class="n" style="color: #333;">vectorize</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;"> <span id="LC22" class="line" lang="python"> <span class="n" style="color: #333;">ndarray</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">typing</span><span class="p">.</span><span class="n" style="color: #333;">Any</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC23" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC24" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">datetime</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">datetime</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -51,12 +49,12 @@ __all__ = [</td>
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<pre style="margin: 0;"> <span id="LC49" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC50" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC51" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2ecef</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC54" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC55" class="line" lang="python"> <span class="n" style="color: #333;">lon</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC56" class="line" lang="python"> <span class="n" style="color: #333;">alt</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC52" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC53" class="line" lang="python"> <span class="n" style="color: #333;">lon</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC54" class="line" lang="python"> <span class="n" style="color: #333;">alt</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC55" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC56" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC59" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC57" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC58" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC59" class="line" lang="python"><span class="s" style="color: #d14;"> point transformation from Geodetic of specified ellipsoid (default WGS-84) to ECEF</span></span>
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<pre style="margin: 0;"> <span id="LC60" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -105,27 +103,12 @@ def geodetic2ecef(</td>
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<pre style="margin: 0;"> <span id="LC103" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC104" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC105" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">ecef2geodetic</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC108" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC109" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC110" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC111" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC112" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC113" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">-<span id="LC114" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">vectorize</span> <span class="ow" style="font-weight: 600;">is</span> <span class="ow" style="font-weight: 600;">not</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC115" class="line" lang="python"> <span class="n" style="color: #333;">fun</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vectorize</span><span class="p">(</span><span class="n" style="color: #333;">ecef2geodetic_point</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC116" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">,</span> <span class="n" style="color: #333;">alt</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">fun</span><span class="p">(</span><span class="n" style="color: #333;">x</span><span class="p">,</span> <span class="n" style="color: #333;">y</span><span class="p">,</span> <span class="n" style="color: #333;">z</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC117" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lat</span><span class="p">[()],</span> <span class="n" style="color: #333;">lon</span><span class="p">[()],</span> <span class="n" style="color: #333;">alt</span><span class="p">[()]</span></span>
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<pre style="margin: 0;">-<span id="LC118" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC119" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">ecef2geodetic_point</span><span class="p">(</span><span class="n" style="color: #333;">x</span><span class="p">,</span> <span class="n" style="color: #333;">y</span><span class="p">,</span> <span class="n" style="color: #333;">z</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC120" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC121" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC122" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">ecef2geodetic_point</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC123" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC124" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC125" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC106" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC107" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC108" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC109" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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110
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<pre style="margin: 0;"> <span id="LC110" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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128
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<pre style="margin: 0;">-<span id="LC128" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC111" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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112
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<pre style="margin: 0;"> <span id="LC112" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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113
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<pre style="margin: 0;"> <span id="LC113" class="line" lang="python"><span class="s" style="color: #d14;"> convert ECEF (meters) to geodetic coordinates</span></span>
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114
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<pre style="margin: 0;"> <span id="LC114" class="line" lang="python"></span>
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<td class="diff-line-num unfold js-unfold new_line" data-linenumber="138" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -155,6 +138,7 @@ def ecef2geodetic_point(</td>
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155
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138
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<pre style="margin: 0;"> <span id="LC138" class="line" lang="python"><span class="s" style="color: #d14;"> You, Rey-Jer. (2000). Transformation of Cartesian to Geodetic Coordinates without Iterations.</span></span>
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139
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<pre style="margin: 0;"> <span id="LC139" class="line" lang="python"><span class="s" style="color: #d14;"> Journal of Surveying Engineering. doi: 10.1061/(ASCE)0733-9453</span></span>
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<pre style="margin: 0;"> <span id="LC140" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;">+<span id="LC141" class="line" lang="python"></span>
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142
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<pre style="margin: 0;"> <span id="LC142" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">ell</span> <span class="ow" style="font-weight: 600;">is</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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159
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143
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<pre style="margin: 0;"> <span id="LC143" class="line" lang="python"> <span class="n" style="color: #333;">ell</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">Ellipsoid</span><span class="p">()</span></span>
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144
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<pre style="margin: 0;"> <span id="LC144" class="line" lang="python"></span>
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<td class="diff-line-num unfold js-unfold new_line" data-linenumber="183" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -199,8 +183,14 @@ def ecef2geodetic_point(</td>
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199
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183
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<pre style="margin: 0;"> <span id="LC183" class="line" lang="python"> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">z</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">/</span> <span class="n" style="color: #333;">ell</span><span class="p">.</span><span class="n" style="color: #333;">semiminor_axis</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span></span>
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200
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184
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<pre style="margin: 0;"> <span id="LC184" class="line" lang="python"> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">1</span></span>
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201
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185
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<pre style="margin: 0;"> <span id="LC185" class="line" lang="python"> <span class="p">)</span></span>
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202
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<pre style="margin: 0;">-<span id="LC202" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">inside</span><span class="p">:</span></span>
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203
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<pre style="margin: 0;">-<span id="LC203" class="line" lang="python"> <span class="n" style="color: #333;">alt</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">alt</span></span>
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186
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<pre style="margin: 0;">+<span id="LC186" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC187" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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188
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<pre style="margin: 0;">+<span id="LC188" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">inside</span><span class="p">.</span><span class="nb" style="color: #0086b3;">any</span><span class="p">():</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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189
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<pre style="margin: 0;">+<span id="LC189" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># avoid all false assignment bug</span></span>
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190
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<pre style="margin: 0;">+<span id="LC190" class="line" lang="python"> <span class="n" style="color: #333;">alt</span><span class="p">[</span><span class="n" style="color: #333;">inside</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">alt</span></span>
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191
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<pre style="margin: 0;">+<span id="LC191" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">TypeError</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">AttributeError</span><span class="p">):</span></span>
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192
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<pre style="margin: 0;">+<span id="LC192" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">inside</span><span class="p">:</span></span>
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193
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<pre style="margin: 0;">+<span id="LC193" class="line" lang="python"> <span class="n" style="color: #333;">alt</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">alt</span></span>
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204
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194
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<pre style="margin: 0;"> <span id="LC194" class="line" lang="python"></span>
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205
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195
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<pre style="margin: 0;"> <span id="LC195" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span></span>
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206
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196
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<pre style="margin: 0;"> <span id="LC196" class="line" lang="python"> <span class="n" style="color: #333;">lat</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">lat</span><span class="p">)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -255,15 +245,15 @@ def ecef2enuv(</td>
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<pre style="margin: 0;"> <span id="LC245" class="line" lang="python"></span>
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256
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<pre style="margin: 0;"> <span id="LC246" class="line" lang="python"></span>
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257
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<pre style="margin: 0;"> <span id="LC247" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">ecef2enu</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC258" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC259" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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260
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<pre style="margin: 0;">-<span id="LC260" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC261" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC262" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC263" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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248
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<pre style="margin: 0;">+<span id="LC248" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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249
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<pre style="margin: 0;">+<span id="LC249" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC250" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC251" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC252" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC253" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC254" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC255" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC266" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC256" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC257" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC258" class="line" lang="python"><span class="s" style="color: #d14;"> from observer to target, ECEF => ENU</span></span>
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<pre style="margin: 0;"> <span id="LC259" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -302,13 +292,13 @@ def ecef2enu(</td>
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<pre style="margin: 0;"> <span id="LC292" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC293" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC294" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">enu2uvw</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC305" class="line" lang="python"> <span class="n" style="color: #333;">east</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC306" class="line" lang="python"> <span class="n" style="color: #333;">north</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC307" class="line" lang="python"> <span class="n" style="color: #333;">up</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC308" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC309" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC295" class="line" lang="python"> <span class="n" style="color: #333;">east</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC296" class="line" lang="python"> <span class="n" style="color: #333;">north</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC297" class="line" lang="python"> <span class="n" style="color: #333;">up</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC298" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC299" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC300" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC311" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC301" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC302" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC303" class="line" lang="python"><span class="s" style="color: #d14;"> Parameters</span></span>
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<pre style="margin: 0;"> <span id="LC304" class="line" lang="python"><span class="s" style="color: #d14;"> ----------</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -342,8 +332,8 @@ def enu2uvw(</td>
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<pre style="margin: 0;"> <span id="LC332" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC333" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC334" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">uvw2enu</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC345" class="line" lang="python"> <span class="n" style="color: #333;">u</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">v</span></span><span class="p"><span class="idiff">:</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">w</span></span><span class="p"><span class="idiff">:</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">-<span id="LC346" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC335" class="line" lang="python"> <span class="n" style="color: #333;">u</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">v</span></span><span class="p"><span class="idiff">:</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">w</span></span><span class="p"><span class="idiff">:</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">+<span id="LC336" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC337" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC338" class="line" lang="python"><span class="s" style="color: #d14;"> Parameters</span></span>
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<pre style="margin: 0;"> <span id="LC339" class="line" lang="python"><span class="s" style="color: #d14;"> ----------</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -384,7 +374,7 @@ def eci2geodetic(</td>
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<pre style="margin: 0;"> <span id="LC374" class="line" lang="python"> <span class="o" style="font-weight: 600;">*</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC375" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC376" class="line" lang="python"> <span class="n" style="color: #333;">use_astropy</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">-<span id="LC387" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC377" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC378" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC379" class="line" lang="python"><span class="s" style="color: #d14;"> convert Earth Centered Internal ECI to geodetic coordinates</span></span>
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<pre style="margin: 0;"> <span id="LC380" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -427,9 +417,9 @@ def eci2geodetic(</td>
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<pre style="margin: 0;"> <span id="LC417" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC418" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC419" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2eci</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC430" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC431" class="line" lang="python"> <span class="n" style="color: #333;">lon</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC432" class="line" lang="python"> <span class="n" style="color: #333;">alt</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC420" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC421" class="line" lang="python"> <span class="n" style="color: #333;">lon</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC422" class="line" lang="python"> <span class="n" style="color: #333;">alt</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC423" class="line" lang="python"> <span class="n" style="color: #333;">t</span><span class="p">:</span> <span class="n" style="color: #333;">datetime</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC424" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC425" class="line" lang="python"> <span class="o" style="font-weight: 600;">*</span><span class="p">,</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -478,15 +468,15 @@ def geodetic2eci(</td>
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<pre style="margin: 0;"> <span id="LC468" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC469" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC470" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">enu2ecef</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC481" class="line" lang="python"> <span class="n" style="color: #333;">e1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC482" class="line" lang="python"> <span class="n" style="color: #333;">n1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC483" class="line" lang="python"> <span class="n" style="color: #333;">u1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC484" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC485" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC486" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC471" class="line" lang="python"> <span class="n" style="color: #333;">e1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC472" class="line" lang="python"> <span class="n" style="color: #333;">n1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC473" class="line" lang="python"> <span class="n" style="color: #333;">u1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC474" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC475" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC476" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC477" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC478" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC489" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC479" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC480" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC481" class="line" lang="python"><span class="s" style="color: #d14;"> ENU to ECEF</span></span>
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<pre style="margin: 0;"> <span id="LC482" class="line" lang="python"></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#ec7f5c7c219fbb03688128c9eb594ec67c42a909"><strong>src/pymap3d/enu.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -3,11 +3,10 @@ from __future__ import annotations</td>
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<pre style="margin: 0;"> <span id="LC3" class="line" lang="python"><span class="kn" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">typing</span></span>
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<pre style="margin: 0;"> <span id="LC4" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="python"><span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC6" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">sin</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">hypot</span><span class="p">,</span> <span class="n" style="color: #333;">arctan2</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">degrees</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">vectorize</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span></span>
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<pre style="margin: 0;">+<span id="LC6" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;"><span class="idiff left">asarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">sin</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">hypot</span><span class="p">,</span> <span class="n" style="color: #333;">arctan2</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">degrees</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;">ndarray</span></span>
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<pre style="margin: 0;"> <span id="LC7" class="line" lang="python"><span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">ImportError</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC8" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">math</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">sin</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">hypot</span><span class="p">,</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">degrees</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC10" class="line" lang="python"> <span class="n" style="color: #333;">vectorize</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="python"> <span class="n" style="color: #333;">ndarray</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">typing</span><span class="p">.</span><span class="n" style="color: #333;">Any</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC11" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC12" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">.ecef</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">geodetic2ecef</span><span class="p">,</span> <span class="n" style="color: #333;">ecef2geodetic</span><span class="p">,</span> <span class="n" style="color: #333;">enu2ecef</span><span class="p">,</span> <span class="n" style="color: #333;">uvw2enu</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -20,8 +19,8 @@ __all__ = ["enu2aer", "aer2enu", "enu2geodetic", "geodetic2enu"]</td>
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<pre style="margin: 0;"> <span id="LC19" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC20" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC21" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">enu2aer</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC23" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">u</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">-<span id="LC24" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC22" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">u</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">+<span id="LC23" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC24" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC25" class="line" lang="python"><span class="s" style="color: #d14;"> ENU to Azimuth, Elevation, Range</span></span>
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<pre style="margin: 0;"> <span id="LC26" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -48,26 +47,19 @@ def enu2aer(</td>
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<pre style="margin: 0;"> <span id="LC47" class="line" lang="python"><span class="s" style="color: #d14;"> slant range [meters]</span></span>
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<pre style="margin: 0;"> <span id="LC48" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;"> <span id="LC49" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC51" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">vectorize</span> <span class="ow" style="font-weight: 600;">is</span> <span class="ow" style="font-weight: 600;">not</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC52" class="line" lang="python"> <span class="n" style="color: #333;">fun</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vectorize</span><span class="p">(</span><span class="n" style="color: #333;">enu2aer_point</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC53" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">,</span> <span class="n" style="color: #333;">el</span><span class="p">,</span> <span class="n" style="color: #333;">rng</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">fun</span><span class="p">(</span><span class="n" style="color: #333;">e</span><span class="p">,</span> <span class="n" style="color: #333;">n</span><span class="p">,</span> <span class="n" style="color: #333;">u</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC54" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">az</span><span class="p">[()],</span> <span class="n" style="color: #333;">el</span><span class="p">[()],</span> <span class="n" style="color: #333;">rng</span><span class="p">[()]</span></span>
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<pre style="margin: 0;">-<span id="LC55" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC56" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">enu2aer_point</span><span class="p">(</span><span class="n" style="color: #333;">e</span><span class="p">,</span> <span class="n" style="color: #333;">n</span><span class="p">,</span> <span class="n" style="color: #333;">u</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC57" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC58" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC59" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">enu2aer_point</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC60" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">u</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">-<span id="LC61" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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<pre style="margin: 0;">-<span id="LC62" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC50" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># 1 millimeter precision for singularity</span></span>
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<pre style="margin: 0;"> <span id="LC51" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC65" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">e</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-3</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC66" class="line" lang="python"> <span class="n" style="color: #333;">e</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;">-<span id="LC67" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">n</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-3</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC68" class="line" lang="python"> <span class="n" style="color: #333;">n</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;">-<span id="LC69" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">u</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-3</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC70" class="line" lang="python"> <span class="n" style="color: #333;">u</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;">+<span id="LC52" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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53
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<pre style="margin: 0;">+<span id="LC53" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">[</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">e</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-3</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;">+<span id="LC54" class="line" lang="python"> <span class="n" style="color: #333;">n</span><span class="p">[</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">n</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-3</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;">+<span id="LC55" class="line" lang="python"> <span class="n" style="color: #333;">u</span><span class="p">[</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">u</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-3</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;">+<span id="LC56" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">TypeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC57" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">e</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-3</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC58" class="line" lang="python"> <span class="n" style="color: #333;">e</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;">+<span id="LC59" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">n</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-3</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC60" class="line" lang="python"> <span class="n" style="color: #333;">n</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;">+<span id="LC61" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">u</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-3</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC62" class="line" lang="python"> <span class="n" style="color: #333;">u</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC63" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC64" class="line" lang="python"> <span class="n" style="color: #333;">r</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">hypot</span><span class="p">(</span><span class="n" style="color: #333;">e</span><span class="p">,</span> <span class="n" style="color: #333;">n</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC65" class="line" lang="python"> <span class="n" style="color: #333;">slantRange</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">hypot</span><span class="p">(</span><span class="n" style="color: #333;">r</span><span class="p">,</span> <span class="n" style="color: #333;">u</span><span class="p">)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -81,18 +73,9 @@ def enu2aer_point(</td>
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<pre style="margin: 0;"> <span id="LC73" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">az</span><span class="p">,</span> <span class="n" style="color: #333;">elev</span><span class="p">,</span> <span class="n" style="color: #333;">slantRange</span></span>
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<pre style="margin: 0;"> <span id="LC74" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC75" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC84" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">aer2enu</span><span class="p">(</span><span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">el</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">srange</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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<pre style="margin: 0;">-<span id="LC85" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">vectorize</span> <span class="ow" style="font-weight: 600;">is</span> <span class="ow" style="font-weight: 600;">not</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC86" class="line" lang="python"> <span class="n" style="color: #333;">fun</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vectorize</span><span class="p">(</span><span class="n" style="color: #333;">aer2enu_point</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC87" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">,</span> <span class="n" style="color: #333;">n</span><span class="p">,</span> <span class="n" style="color: #333;">u</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">fun</span><span class="p">(</span><span class="n" style="color: #333;">az</span><span class="p">,</span> <span class="n" style="color: #333;">el</span><span class="p">,</span> <span class="n" style="color: #333;">srange</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC88" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">e</span><span class="p">[()],</span> <span class="n" style="color: #333;">n</span><span class="p">[()],</span> <span class="n" style="color: #333;">u</span><span class="p">[()]</span></span>
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<pre style="margin: 0;">-<span id="LC89" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC90" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">aer2enu_point</span><span class="p">(</span><span class="n" style="color: #333;">az</span><span class="p">,</span> <span class="n" style="color: #333;">el</span><span class="p">,</span> <span class="n" style="color: #333;">srange</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC91" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC92" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC93" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">aer2enu_point</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC94" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">el</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">srange</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">-<span id="LC95" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC76" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">aer2enu</span><span class="p">(</span></span>
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<pre style="margin: 0;">+<span id="LC77" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">el</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">srange</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">+<span id="LC78" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC79" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC80" class="line" lang="python"><span class="s" style="color: #d14;"> Azimuth, Elevation, Slant range to target to East, North, Up</span></span>
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<pre style="margin: 0;"> <span id="LC81" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -120,8 +103,12 @@ def aer2enu_point(</td>
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103
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<pre style="margin: 0;"> <span id="LC103" class="line" lang="python"> <span class="n" style="color: #333;">el</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">el</span><span class="p">)</span></span>
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104
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<pre style="margin: 0;"> <span id="LC104" class="line" lang="python"> <span class="n" style="color: #333;">az</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">az</span><span class="p">)</span></span>
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105
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<pre style="margin: 0;"> <span id="LC105" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC123" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">srange</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC124" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Slant range [0, Infinity)"</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC106" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC107" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="n" style="color: #333;">asarray</span><span class="p">(</span><span class="n" style="color: #333;">srange</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">():</span></span>
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<pre style="margin: 0;">+<span id="LC108" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Slant range [0, Infinity)"</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC109" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">NameError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC110" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">srange</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC111" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Slant range [0, Infinity)"</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC112" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC113" class="line" lang="python"> <span class="n" style="color: #333;">r</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">srange</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">el</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC114" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -129,15 +116,15 @@ def aer2enu_point(</td>
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<pre style="margin: 0;"> <span id="LC116" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC117" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC118" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">enu2geodetic</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC132" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC133" class="line" lang="python"> <span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC134" class="line" lang="python"> <span class="n" style="color: #333;">u</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC135" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC136" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC137" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC119" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC120" class="line" lang="python"> <span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC121" class="line" lang="python"> <span class="n" style="color: #333;">u</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC122" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC123" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC124" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC125" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC126" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC140" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC127" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC128" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC129" class="line" lang="python"><span class="s" style="color: #d14;"> East, North, Up to target to geodetic coordinates</span></span>
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<pre style="margin: 0;"> <span id="LC130" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -177,15 +164,15 @@ def enu2geodetic(</td>
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164
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<pre style="margin: 0;"> <span id="LC164" class="line" lang="python"></span>
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165
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<pre style="margin: 0;"> <span id="LC165" class="line" lang="python"></span>
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166
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<pre style="margin: 0;"> <span id="LC166" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2enu</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC180" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC181" class="line" lang="python"> <span class="n" style="color: #333;">lon</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC182" class="line" lang="python"> <span class="n" style="color: #333;">h</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC183" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC184" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC185" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC167" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC168" class="line" lang="python"> <span class="n" style="color: #333;">lon</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC169" class="line" lang="python"> <span class="n" style="color: #333;">h</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC170" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC171" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC172" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC173" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC174" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC188" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC175" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC176" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC177" class="line" lang="python"><span class="s" style="color: #d14;"> Parameters</span></span>
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<pre style="margin: 0;"> <span id="LC178" class="line" lang="python"><span class="s" style="color: #d14;"> ----------</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#0079c32338ba7e19ac03054f47121fa322c7ec63"><strong>src/pymap3d/latitude.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -7,7 +7,7 @@ from .utils import sanitize</td>
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<pre style="margin: 0;"> <span id="LC7" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">.rcurve</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">rcurve_transverse</span></span>
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<pre style="margin: 0;"> <span id="LC8" class="line" lang="python"></span>
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9
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="python"><span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC10" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">degrees</span><span class="p">,</span> <span class="n" style="color: #333;">tan</span><span class="p">,</span> <span class="n" style="color: #333;">sin</span><span class="p">,</span> <span class="n" style="color: #333;">exp</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;">sqrt</span><span class="p">,</span> <span class="n" style="color: #333;">inf</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">vectorize</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span></span>
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<pre style="margin: 0;">+<span id="LC10" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">degrees</span><span class="p">,</span> <span class="n" style="color: #333;">tan</span><span class="p">,</span> <span class="n" style="color: #333;">sin</span><span class="p">,</span> <span class="n" style="color: #333;">exp</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;">sqrt</span><span class="p">,</span> <span class="n" style="color: #333;">inf</span><span class="p">,</span> <span class="n" style="color: #333;">ndarray</span></span>
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<pre style="margin: 0;"> <span id="LC11" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">arctan</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atan</span><span class="p">,</span> <span class="n" style="color: #333;">arcsinh</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">asinh</span><span class="p">,</span> <span class="n" style="color: #333;">arctanh</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atanh</span> <span class="c1" style="color: #998; font-style: italic;"># noqa: A001</span></span>
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<pre style="margin: 0;"> <span id="LC12" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC13" class="line" lang="python"> <span class="n" style="color: #333;">use_numpy</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -37,8 +37,8 @@ __all__ = [</td>
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<pre style="margin: 0;"> <span id="LC37" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC38" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC39" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geoc2geod</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC40" class="line" lang="python"> <span class="n" style="color: #333;">geocentric_lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC41" class="line" lang="python"> <span class="n" style="color: #333;">geocentric_distance</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC40" class="line" lang="python"> <span class="n" style="color: #333;">geocentric_lat</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC41" class="line" lang="python"> <span class="n" style="color: #333;">geocentric_distance</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC42" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC43" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC44" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -162,28 +162,7 @@ def geocentric2geodetic(</td>
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<pre style="margin: 0;"> <span id="LC162" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">)</span> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">deg</span> <span class="k" style="font-weight: 600;">else</span> <span class="n" style="color: #333;">geodetic_lat</span></span>
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<pre style="margin: 0;"> <span id="LC163" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC164" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC165" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2isometric_point</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC166" class="line" lang="python"> <span class="n" style="color: #333;">geodetic_lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sanitize</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC167" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC168" class="line" lang="python"> <span class="n" style="color: #333;">e</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ell</span><span class="p">.</span><span class="n" style="color: #333;">eccentricity</span></span>
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<pre style="margin: 0;">-<span id="LC169" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC170" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><=</span> <span class="mf" style="color: #099;">1e-9</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC171" class="line" lang="python"> <span class="n" style="color: #333;">isometric_lat</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">inf</span></span>
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<pre style="margin: 0;">-<span id="LC172" class="line" lang="python"> <span class="k" style="font-weight: 600;">elif</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">geodetic_lat</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><=</span> <span class="mf" style="color: #099;">1e-9</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC173" class="line" lang="python"> <span class="n" style="color: #333;">isometric_lat</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">inf</span></span>
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<pre style="margin: 0;">-<span id="LC174" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC175" class="line" lang="python"> <span class="n" style="color: #333;">isometric_lat</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">asinh</span><span class="p">(</span><span class="n" style="color: #333;">tan</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">))</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">e</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">atanh</span><span class="p">(</span><span class="n" style="color: #333;">e</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">))</span></span>
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<pre style="margin: 0;">-<span id="LC176" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># same results</span></span>
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<pre style="margin: 0;">-<span id="LC177" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># a1 = e * sin(geodetic_lat)</span></span>
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<pre style="margin: 0;">-<span id="LC178" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># y = (1 - a1) / (1 + a1)</span></span>
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<pre style="margin: 0;">-<span id="LC179" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># a2 = pi / 4 + geodetic_lat / 2</span></span>
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<pre style="margin: 0;">-<span id="LC180" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># isometric_lat = log(tan(a2) * (y ** (e / 2)))</span></span>
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<pre style="margin: 0;">-<span id="LC181" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># isometric_lat = log(tan(a2)) + e/2 * log((1-e*sin(geodetic_lat)) / (1+e*sin(geodetic_lat)))</span></span>
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<pre style="margin: 0;">-<span id="LC182" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC183" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">isometric_lat</span><span class="p">)</span> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">deg</span> <span class="k" style="font-weight: 600;">else</span> <span class="n" style="color: #333;">isometric_lat</span></span>
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<pre style="margin: 0;">-<span id="LC184" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC185" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC186" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2isometric</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC165" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2isometric</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC166" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC167" class="line" lang="python"><span class="s" style="color: #d14;"> computes isometric latitude on an ellipsoid</span></span>
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<pre style="margin: 0;"> <span id="LC168" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -212,11 +191,29 @@ def geodetic2isometric(geodetic_lat: float, ell: Ellipsoid = None, deg: bool = T</td>
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<pre style="margin: 0;"> <span id="LC191" class="line" lang="python"><span class="s" style="color: #d14;"> School of Mathematical and Geospatial Sciences, RMIT University,</span></span>
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<pre style="margin: 0;"> <span id="LC192" class="line" lang="python"><span class="s" style="color: #d14;"> January 2010</span></span>
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<pre style="margin: 0;"> <span id="LC193" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;">-<span id="LC215" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">use_numpy</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC216" class="line" lang="python"> <span class="n" style="color: #333;">fun</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vectorize</span><span class="p">(</span><span class="n" style="color: #333;">geodetic2isometric_point</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC217" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">fun</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)[()]</span></span>
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<pre style="margin: 0;">-<span id="LC218" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC219" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">geodetic2isometric_point</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC194" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC195" class="line" lang="python"> <span class="n" style="color: #333;">geodetic_lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sanitize</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC196" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC197" class="line" lang="python"> <span class="n" style="color: #333;">e</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ell</span><span class="p">.</span><span class="n" style="color: #333;">eccentricity</span></span>
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<pre style="margin: 0;">+<span id="LC198" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC199" class="line" lang="python"> <span class="n" style="color: #333;">isometric_lat</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">asinh</span><span class="p">(</span><span class="n" style="color: #333;">tan</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">))</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">e</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">atanh</span><span class="p">(</span><span class="n" style="color: #333;">e</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC200" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># same results</span></span>
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<pre style="margin: 0;">+<span id="LC201" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># a1 = e * sin(geodetic_lat)</span></span>
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<pre style="margin: 0;">+<span id="LC202" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># y = (1 - a1) / (1 + a1)</span></span>
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<pre style="margin: 0;">+<span id="LC203" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># a2 = pi / 4 + geodetic_lat / 2</span></span>
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<pre style="margin: 0;">+<span id="LC204" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># isometric_lat = log(tan(a2) * (y ** (e / 2)))</span></span>
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<pre style="margin: 0;">+<span id="LC205" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># isometric_lat = log(tan(a2)) + e/2 * log((1-e*sin(geodetic_lat)) / (1+e*sin(geodetic_lat)))</span></span>
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<pre style="margin: 0;">+<span id="LC206" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC207" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC208" class="line" lang="python"> <span class="n" style="color: #333;">isometric_lat</span><span class="p">[</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><=</span> <span class="mf" style="color: #099;">1e-9</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">inf</span></span>
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209
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<pre style="margin: 0;">+<span id="LC209" class="line" lang="python"> <span class="n" style="color: #333;">isometric_lat</span><span class="p">[</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">geodetic_lat</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><=</span> <span class="mf" style="color: #099;">1e-9</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">inf</span></span>
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210
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<pre style="margin: 0;">+<span id="LC210" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">TypeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC211" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><=</span> <span class="mf" style="color: #099;">1e-9</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC212" class="line" lang="python"> <span class="n" style="color: #333;">isometric_lat</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">inf</span></span>
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213
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<pre style="margin: 0;">+<span id="LC213" class="line" lang="python"> <span class="k" style="font-weight: 600;">elif</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">geodetic_lat</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><=</span> <span class="mf" style="color: #099;">1e-9</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC214" class="line" lang="python"> <span class="n" style="color: #333;">isometric_lat</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">inf</span></span>
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<pre style="margin: 0;">+<span id="LC215" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC216" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">isometric_lat</span><span class="p">)</span> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">deg</span> <span class="k" style="font-weight: 600;">else</span> <span class="n" style="color: #333;">isometric_lat</span></span>
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<pre style="margin: 0;"> <span id="LC217" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC218" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC219" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">isometric2geodetic</span><span class="p">(</span><span class="n" style="color: #333;">isometric_lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="327" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -327,14 +324,7 @@ def geodetic2conformal(geodetic_lat: float, ell: Ellipsoid = None, deg: bool = T</td>
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<pre style="margin: 0;"> <span id="LC324" class="line" lang="python"><span class="s" style="color: #d14;"> Office, Washington, DC, 1987, pp. 13-18.</span></span>
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<pre style="margin: 0;"> <span id="LC325" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC326" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;">-<span id="LC330" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">use_numpy</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC331" class="line" lang="python"> <span class="n" style="color: #333;">fun</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vectorize</span><span class="p">(</span><span class="n" style="color: #333;">geodetic2conformal_point</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC332" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">fun</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)[()]</span></span>
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<pre style="margin: 0;">-<span id="LC333" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC334" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">geodetic2conformal_point</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC335" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC327" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC337" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2conformal_point</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC328" class="line" lang="python"> <span class="n" style="color: #333;">geodetic_lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sanitize</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC329" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC330" class="line" lang="python"> <span class="n" style="color: #333;">e</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ell</span><span class="p">.</span><span class="n" style="color: #333;">eccentricity</span></span>
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<td class="diff-line-num unfold js-unfold new_line" data-linenumber="343" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -353,7 +343,7 @@ def geodetic2conformal_point(geodetic_lat: float, ell: Ellipsoid = None, deg: bo</td>
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<pre style="margin: 0;"> <span id="LC343" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC344" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC345" class="line" lang="python"><span class="c1" style="color: #998; font-style: italic;"># %% rectifying</span></span>
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<pre style="margin: 0;">-<span id="LC356" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2rectifying</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC346" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2rectifying</span><span class="p">(</span><span class="n" style="color: #333;">geodetic_lat</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC347" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC348" class="line" lang="python"><span class="s" style="color: #d14;"> converts from geodetic latitude to rectifying latitude</span></span>
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<pre style="margin: 0;"> <span id="LC349" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -399,7 +389,9 @@ def geodetic2rectifying(geodetic_lat: float, ell: Ellipsoid = None, deg: bool =</td>
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<pre style="margin: 0;"> <span id="LC389" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">rectifying_lat</span><span class="p">)</span> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">deg</span> <span class="k" style="font-weight: 600;">else</span> <span class="n" style="color: #333;">rectifying_lat</span></span>
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<pre style="margin: 0;"> <span id="LC390" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC391" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC402" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">rectifying2geodetic</span><span class="p">(</span><span class="n" style="color: #333;">rectifying_lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC392" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">rectifying2geodetic</span><span class="p">(</span></span>
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<pre style="margin: 0;">+<span id="LC393" class="line" lang="python"> <span class="n" style="color: #333;">rectifying_lat</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">+<span id="LC394" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="n" style="color: #333;">ndarray</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC395" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC396" class="line" lang="python"><span class="s" style="color: #d14;"> converts from rectifying latitude to geodetic latitude</span></span>
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<pre style="margin: 0;"> <span id="LC397" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -4,11 +4,10 @@ from __future__ import annotations</td>
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<pre style="margin: 0;"> <span id="LC4" class="line" lang="python"><span class="kn" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">typing</span></span>
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC6" class="line" lang="python"><span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC7" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;">nan</span><span class="p">,</span> <span class="n" style="color: #333;">sqrt</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">vectorize</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span></span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;">nan</span><span class="p">,</span> <span class="n" style="color: #333;">sqrt</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">atleast_1d</span></span></span>
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<pre style="margin: 0;"> <span id="LC8" class="line" lang="python"><span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">ImportError</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">math</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;">nan</span><span class="p">,</span> <span class="n" style="color: #333;">sqrt</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC11" class="line" lang="python"> <span class="n" style="color: #333;">vectorize</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;"> <span id="LC11" class="line" lang="python"> <span class="n" style="color: #333;">ndarray</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">typing</span><span class="p">.</span><span class="n" style="color: #333;">Any</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC12" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC13" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">.aer</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">aer2enu</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -19,14 +18,14 @@ __all__ = ["lookAtSpheroid"]</td>
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<pre style="margin: 0;"> <span id="LC18" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC19" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC20" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">lookAtSpheroid</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC22" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC23" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC24" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC25" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC26" class="line" lang="python"> <span class="n" style="color: #333;">tilt</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC21" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC22" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC23" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC24" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC25" class="line" lang="python"> <span class="n" style="color: #333;">tilt</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC26" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC27" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC29" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC28" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC29" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC30" class="line" lang="python"><span class="s" style="color: #d14;"> Calculates line-of-sight intersection with Earth (or other ellipsoid) surface from above surface / orbit</span></span>
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<pre style="margin: 0;"> <span id="LC31" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -62,23 +61,6 @@ def lookAtSpheroid(</td>
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<pre style="margin: 0;"> <span id="LC61" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC62" class="line" lang="python"><span class="s" style="color: #d14;"> Algorithm based on https://medium.com/@stephenhartzell/satellite-line-of-sight-intersection-with-earth-d786b4a6a9b6 Stephen Hartzell</span></span>
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<pre style="margin: 0;"> <span id="LC63" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;">-<span id="LC65" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">vectorize</span> <span class="ow" style="font-weight: 600;">is</span> <span class="ow" style="font-weight: 600;">not</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC66" class="line" lang="python"> <span class="n" style="color: #333;">fun</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vectorize</span><span class="p">(</span><span class="n" style="color: #333;">lookAtSpheroid_point</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC67" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">,</span> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">fun</span><span class="p">(</span><span class="n" style="color: #333;">lat0</span><span class="p">,</span> <span class="n" style="color: #333;">lon0</span><span class="p">,</span> <span class="n" style="color: #333;">h0</span><span class="p">,</span> <span class="n" style="color: #333;">az</span><span class="p">,</span> <span class="n" style="color: #333;">tilt</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC68" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lat</span><span class="p">[()],</span> <span class="n" style="color: #333;">lon</span><span class="p">[()],</span> <span class="n" style="color: #333;">d</span><span class="p">[()]</span></span>
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<pre style="margin: 0;">-<span id="LC69" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC70" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lookAtSpheroid_point</span><span class="p">(</span><span class="n" style="color: #333;">lat0</span><span class="p">,</span> <span class="n" style="color: #333;">lon0</span><span class="p">,</span> <span class="n" style="color: #333;">h0</span><span class="p">,</span> <span class="n" style="color: #333;">az</span><span class="p">,</span> <span class="n" style="color: #333;">tilt</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC71" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC72" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC73" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">lookAtSpheroid_point</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC74" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC75" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC76" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC77" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC78" class="line" lang="python"> <span class="n" style="color: #333;">tilt</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC79" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC80" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC81" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC64" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC65" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">h0</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC66" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Intersection calculation requires altitude [0, Infinity)"</span><span class="p">)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -86,6 +68,13 @@ def lookAtSpheroid_point(</td>
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<pre style="margin: 0;"> <span id="LC68" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">ell</span> <span class="ow" style="font-weight: 600;">is</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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87
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<pre style="margin: 0;"> <span id="LC69" class="line" lang="python"> <span class="n" style="color: #333;">ell</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">Ellipsoid</span><span class="p">()</span></span>
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<pre style="margin: 0;"> <span id="LC70" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC71" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC72" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">lat0</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC73" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">lon0</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC74" class="line" lang="python"> <span class="n" style="color: #333;">tilt</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">tilt</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC75" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">NameError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC76" class="line" lang="python"> <span class="k" style="font-weight: 600;">pass</span></span>
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<pre style="margin: 0;">+<span id="LC77" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC78" class="line" lang="python"> <span class="n" style="color: #333;">a</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ell</span><span class="p">.</span><span class="n" style="color: #333;">semimajor_axis</span></span>
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<pre style="margin: 0;"> <span id="LC79" class="line" lang="python"> <span class="n" style="color: #333;">b</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ell</span><span class="p">.</span><span class="n" style="color: #333;">semimajor_axis</span></span>
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<pre style="margin: 0;"> <span id="LC80" class="line" lang="python"> <span class="n" style="color: #333;">c</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ell</span><span class="p">.</span><span class="n" style="color: #333;">semiminor_axis</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="115" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -115,14 +104,22 @@ def lookAtSpheroid_point(</td>
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104
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<pre style="margin: 0;"> <span id="LC104" class="line" lang="python"> <span class="n" style="color: #333;">magnitude</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">a</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">b</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">w</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">a</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">c</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">v</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">b</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">c</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">u</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span></span>
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<pre style="margin: 0;"> <span id="LC105" class="line" lang="python"></span>
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117
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<pre style="margin: 0;"> <span id="LC106" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># %% Return nan if radical < 0 or d < 0 because LOS vector does not point towards Earth</span></span>
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<pre style="margin: 0;">-<span id="LC118" class="line" lang="python"> <span class="k" style="font-weight: 600;"><span class="idiff left">if</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">radical</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">></span></span><span class="idiff"> </span><span class="mi" style="color: #099;"><span class="idiff right">0</span></span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC107" class="line" lang="python"> <span class="k" style="font-weight: 600;"><span class="idiff left right">try</span></span><span class="p">:</span></span>
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108
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<pre style="margin: 0;"> <span id="LC108" class="line" lang="python"> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="n" style="color: #333;">value</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">a</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">b</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">c</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sqrt</span><span class="p">(</span><span class="n" style="color: #333;">radical</span><span class="p">))</span> <span class="o" style="font-weight: 600;">/</span> <span class="n" style="color: #333;">magnitude</span></span>
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<pre style="margin: 0;">-<span id="LC120" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC121" class="line" lang="python"> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">nan</span></span>
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109
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<pre style="margin: 0;">+<span id="LC109" class="line" lang="python"> <span class="n" style="color: #333;">d</span><span class="p">[</span><span class="n" style="color: #333;">radical</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">nan</span></span>
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110
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<pre style="margin: 0;">+<span id="LC110" class="line" lang="python"> <span class="n" style="color: #333;">d</span><span class="p">[</span><span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">nan</span></span>
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111
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<pre style="margin: 0;">+<span id="LC111" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">:</span></span>
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112
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<pre style="margin: 0;">+<span id="LC112" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">radical</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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113
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<pre style="margin: 0;">+<span id="LC113" class="line" lang="python"> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">nan</span></span>
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114
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<pre style="margin: 0;">+<span id="LC114" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC115" class="line" lang="python"> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">nan</span></span>
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<pre style="margin: 0;">+<span id="LC116" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">TypeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC117" class="line" lang="python"> <span class="k" style="font-weight: 600;">pass</span></span>
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<pre style="margin: 0;"> <span id="LC118" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC123" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC124" class="line" lang="python"> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">nan</span></span>
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<pre style="margin: 0;"> <span id="LC119" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># %% cartesian to ellipsodal</span></span>
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<pre style="margin: 0;"> <span id="LC120" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">,</span> <span class="n" style="color: #333;">_</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ecef2geodetic</span><span class="p">(</span><span class="n" style="color: #333;">x</span> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">u</span><span class="p">,</span> <span class="n" style="color: #333;">y</span> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">v</span><span class="p">,</span> <span class="n" style="color: #333;">z</span> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">d</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">w</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="o" style="font-weight: 600;">=</span><span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC121" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC128" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">,</span> <span class="n" style="color: #333;">d</span></span></pre>
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122
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<pre style="margin: 0;">+<span id="LC122" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC123" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lat</span><span class="p">.</span><span class="n" style="color: #333;">squeeze</span><span class="p">()[()],</span> <span class="n" style="color: #333;">lon</span><span class="p">.</span><span class="n" style="color: #333;">squeeze</span><span class="p">()[()],</span> <span class="n" style="color: #333;">d</span><span class="p">.</span><span class="n" style="color: #333;">squeeze</span><span class="p">()[()]</span></span>
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124
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<pre style="margin: 0;">+<span id="LC124" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">AttributeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC125" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">,</span> <span class="n" style="color: #333;">d</span></span></pre>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#590f4e17d3157521257df41e2ce2594f5cd8b5b8"><strong>src/pymap3d/lox.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -4,11 +4,10 @@ from __future__ import annotations</td>
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<pre style="margin: 0;"> <span id="LC4" class="line" lang="python"><span class="kn" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">typing</span></span>
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC6" class="line" lang="python"><span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC7" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">degrees</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">arctan2</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">tan</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">vectorize</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span></span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">degrees</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">arctan2</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">tan</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">atleast_1d</span></span></span>
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8
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<pre style="margin: 0;"> <span id="LC8" class="line" lang="python"><span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">ImportError</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">math</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">degrees</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">tan</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC11" class="line" lang="python"> <span class="n" style="color: #333;">vectorize</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;"> <span id="LC11" class="line" lang="python"> <span class="n" style="color: #333;">ndarray</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">typing</span><span class="p">.</span><span class="n" style="color: #333;">Any</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC12" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC13" class="line" lang="python"><span class="kn" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">typing</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -34,7 +33,7 @@ __all__ = [</td>
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<pre style="margin: 0;"> <span id="LC33" class="line" lang="python"><span class="p">]</span></span>
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<pre style="margin: 0;"> <span id="LC34" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC35" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC37" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">meridian_dist</span><span class="p">(</span><span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC36" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">meridian_dist</span><span class="p">(</span><span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC37" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC38" class="line" lang="python"><span class="s" style="color: #d14;"> Computes the ground distance on an ellipsoid from the equator to the input latitude.</span></span>
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<pre style="margin: 0;"> <span id="LC39" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -52,10 +51,10 @@ def meridian_dist(lat: float, ell: Ellipsoid = None, deg: bool = True) -> float:</td>
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<pre style="margin: 0;"> <span id="LC51" class="line" lang="python"><span class="s" style="color: #d14;"> dist : float</span></span>
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<pre style="margin: 0;"> <span id="LC52" class="line" lang="python"><span class="s" style="color: #d14;"> distance (meters)</span></span>
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<pre style="margin: 0;"> <span id="LC53" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;">-<span id="LC55" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">meridian_arc</span><span class="p">(</span><span class="mi" style="color: #099;">0</span><span class="p">,</span> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC54" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">meridian_arc</span><span class="p">(</span><span class="mf" style="color: #099;">0<span class="idiff left right">.0</span></span><span class="p">,</span> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC55" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC56" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC58" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">meridian_arc</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p"><span class="idiff left">:</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">lat2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC57" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">meridian_arc</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">lat2</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC58" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC59" class="line" lang="python"><span class="s" style="color: #d14;"> Computes the ground distance on an ellipsoid between two latitudes.</span></span>
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<pre style="margin: 0;"> <span id="LC60" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -84,10 +83,10 @@ def meridian_arc(lat1: float, lat2: float, ell: Ellipsoid = None, deg: bool = Tr</td>
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<pre style="margin: 0;"> <span id="LC83" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC84" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC85" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">loxodrome_inverse</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC87" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC88" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC89" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC90" class="line" lang="python"> <span class="n" style="color: #333;">lon2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC86" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC87" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC88" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC89" class="line" lang="python"> <span class="n" style="color: #333;">lon2</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC90" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC91" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC92" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -135,17 +134,7 @@ def loxodrome_inverse(</td>
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<pre style="margin: 0;"> <span id="LC134" class="line" lang="python"><span class="s" style="color: #d14;"> Survey, U.S. Department of Commerce, Washington, DC: U.S.</span></span>
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<pre style="margin: 0;"> <span id="LC135" class="line" lang="python"><span class="s" style="color: #d14;"> Government Printing Office, p. 66.</span></span>
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<pre style="margin: 0;"> <span id="LC136" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;">-<span id="LC138" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">vectorize</span> <span class="ow" style="font-weight: 600;">is</span> <span class="ow" style="font-weight: 600;">not</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC139" class="line" lang="python"> <span class="n" style="color: #333;">fun</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vectorize</span><span class="p">(</span><span class="n" style="color: #333;">loxodrome_inverse_point</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC140" class="line" lang="python"> <span class="n" style="color: #333;">lox</span><span class="p">,</span> <span class="n" style="color: #333;">az</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">fun</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">,</span> <span class="n" style="color: #333;">lat2</span><span class="p">,</span> <span class="n" style="color: #333;">lon2</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC141" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lox</span><span class="p">[()],</span> <span class="n" style="color: #333;">az</span><span class="p">[()]</span></span>
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<pre style="margin: 0;">-<span id="LC142" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC143" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">loxodrome_inverse_point</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">,</span> <span class="n" style="color: #333;">lat2</span><span class="p">,</span> <span class="n" style="color: #333;">lon2</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC137" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC145" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC146" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">loxodrome_inverse_point</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC147" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">lat2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">lon2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">-<span id="LC148" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="n" style="color: #333;">typing</span><span class="p">.</span><span class="n" style="color: #333;">Tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC138" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC139" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">,</span> <span class="n" style="color: #333;">lat2</span><span class="p">,</span> <span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">),</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">lon1</span><span class="p">),</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">),</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">lon2</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC140" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -160,10 +149,13 @@ def loxodrome_inverse_point(</td>
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<pre style="margin: 0;"> <span id="LC149" class="line" lang="python"> <span class="n" style="color: #333;">cosaz12</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">az12</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC150" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC151" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># compute distance along loxodromic curve</span></span>
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<pre style="margin: 0;">-<span id="LC163" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">cosaz12</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-9</span><span class="p">:</span> <span class="c1" style="color: #998; font-style: italic;"># straight east or west</span></span>
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<pre style="margin: 0;">-<span id="LC164" class="line" lang="python"> <span class="n" style="color: #333;">dist</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">departure</span><span class="p">(</span><span class="n" style="color: #333;">lon2</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">,</span> <span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="o" style="font-weight: 600;">=</span><span class="bp" style="color: #999;">False</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC165" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC166" class="line" lang="python"> <span class="n" style="color: #333;">dist</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">meridian_arc</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">,</span> <span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="o" style="font-weight: 600;">=</span><span class="bp" style="color: #999;">False</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="o" style="font-weight: 600;">=</span><span class="n" style="color: #333;">ell</span><span class="p">)</span> <span class="o" style="font-weight: 600;">/</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">az12</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC152" class="line" lang="python"> <span class="n" style="color: #333;">dist</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">meridian_arc</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">,</span> <span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="o" style="font-weight: 600;">=</span><span class="bp" style="color: #999;">False</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="o" style="font-weight: 600;">=</span><span class="n" style="color: #333;">ell</span><span class="p">)</span> <span class="o" style="font-weight: 600;">/</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">az12</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC153" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC154" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">cosaz12</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-9</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">():</span></span>
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<pre style="margin: 0;">+<span id="LC155" class="line" lang="python"> <span class="n" style="color: #333;">dist</span><span class="p">[</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">cosaz12</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-9</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">departure</span><span class="p">(</span><span class="n" style="color: #333;">lon2</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">,</span> <span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="o" style="font-weight: 600;">=</span><span class="bp" style="color: #999;">False</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC156" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">AttributeError</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">TypeError</span><span class="p">):</span></span>
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<pre style="margin: 0;">+<span id="LC157" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">cosaz12</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-9</span><span class="p">:</span> <span class="c1" style="color: #998; font-style: italic;"># straight east or west</span></span>
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<pre style="margin: 0;">+<span id="LC158" class="line" lang="python"> <span class="n" style="color: #333;">dist</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">departure</span><span class="p">(</span><span class="n" style="color: #333;">lon2</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">,</span> <span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="o" style="font-weight: 600;">=</span><span class="bp" style="color: #999;">False</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC159" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC160" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC161" class="line" lang="python"> <span class="n" style="color: #333;">az12</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">az12</span><span class="p">)</span> <span class="o" style="font-weight: 600;">%</span> <span class="mf" style="color: #099;">360.0</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -172,13 +164,13 @@ def loxodrome_inverse_point(</td>
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<pre style="margin: 0;"> <span id="LC164" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC165" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC166" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">loxodrome_direct</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC175" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC176" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC177" class="line" lang="python"> <span class="n" style="color: #333;">rng</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC167" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC168" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC169" class="line" lang="python"> <span class="n" style="color: #333;">rng</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC170" class="line" lang="python"> <span class="n" style="color: #333;">a12</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC171" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC172" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC181" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC173" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC174" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC175" class="line" lang="python"><span class="s" style="color: #d14;"> Given starting lat, lon with arclength and azimuth, compute final lat, lon</span></span>
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<pre style="margin: 0;"> <span id="LC176" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -206,25 +198,22 @@ def loxodrome_direct(</td>
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<pre style="margin: 0;"> <span id="LC198" class="line" lang="python"><span class="s" style="color: #d14;"> lon2 : float</span></span>
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<pre style="margin: 0;"> <span id="LC199" class="line" lang="python"><span class="s" style="color: #d14;"> final geodetic longitude (degrees)</span></span>
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<pre style="margin: 0;"> <span id="LC200" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;">-<span id="LC209" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">vectorize</span> <span class="ow" style="font-weight: 600;">is</span> <span class="ow" style="font-weight: 600;">not</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC210" class="line" lang="python"> <span class="n" style="color: #333;">fun</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vectorize</span><span class="p">(</span><span class="n" style="color: #333;">loxodrome_direct_point</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC211" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span><span class="p">,</span> <span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">fun</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">,</span> <span class="n" style="color: #333;">rng</span><span class="p">,</span> <span class="n" style="color: #333;">a12</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC212" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lat2</span><span class="p">[()],</span> <span class="n" style="color: #333;">lon2</span><span class="p">[()]</span></span>
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<pre style="margin: 0;">-<span id="LC213" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC214" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">loxodrome_direct_point</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">,</span> <span class="n" style="color: #333;">rng</span><span class="p">,</span> <span class="n" style="color: #333;">a12</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC215" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC216" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC217" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">loxodrome_direct_point</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC218" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">rng</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">a12</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">-<span id="LC219" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="n" style="color: #333;">typing</span><span class="p">.</span><span class="n" style="color: #333;">Tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC201" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC202" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC203" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span><span class="p">,</span> <span class="n" style="color: #333;">a12</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">),</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">lon1</span><span class="p">),</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">a12</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC204" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC224" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC225" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"-90 <= latitude <= 90"</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC226" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">rng</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC227" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"ground distance must be >= 0"</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC205" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC206" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC207" class="line" lang="python"> <span class="n" style="color: #333;">rng</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">rng</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC208" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">():</span></span>
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<pre style="margin: 0;">+<span id="LC209" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"-90 <= latitude <= 90"</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC210" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="n" style="color: #333;">rng</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">():</span></span>
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<pre style="margin: 0;">+<span id="LC211" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"ground distance must be >= 0"</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC212" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">NameError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC213" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC214" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"-90 <= latitude <= 90"</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC215" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">rng</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC216" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"ground distance must be >= 0"</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC217" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC218" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># compute rectifying sphere latitude and radius</span></span>
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<pre style="margin: 0;"> <span id="LC219" class="line" lang="python"> <span class="n" style="color: #333;">reclat</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">geodetic2rectifying</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="o" style="font-weight: 600;">=</span><span class="bp" style="color: #999;">False</span><span class="p">)</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="243" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="232" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -243,11 +232,14 @@ def loxodrome_direct_point(</td>
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<pre style="margin: 0;"> <span id="LC232" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC233" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span><span class="p">,</span> <span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">),</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">lon2</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC234" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC246" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lat2</span><span class="p">,</span> <span class="n" style="color: #333;">lon2</span></span>
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<pre style="margin: 0;">+<span id="LC235" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC236" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lat2</span><span class="p">.</span><span class="n" style="color: #333;">squeeze</span><span class="p">()[()],</span> <span class="n" style="color: #333;">lon2</span><span class="p">.</span><span class="n" style="color: #333;">squeeze</span><span class="p">()[()]</span></span>
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<pre style="margin: 0;">+<span id="LC237" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">AttributeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC238" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">lat2</span><span class="p">,</span> <span class="n" style="color: #333;">lon2</span></span>
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<pre style="margin: 0;"> <span id="LC239" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC240" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC241" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">departure</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC250" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">lon2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">lat</span></span><span class="p"><span class="idiff">:</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">+<span id="LC242" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">lon2</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">lat</span></span><span class="p"><span class="idiff">:</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;"> <span id="LC243" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC244" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC245" class="line" lang="python"><span class="s" style="color: #d14;"> Computes the distance along a specific parallel between two meridians.</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#f6c774dc2c8bf51c94d845cc9c92b3d67bbb2e47"><strong>src/pymap3d/ned.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -14,8 +14,8 @@ from .ellipsoid import Ellipsoid</td>
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<pre style="margin: 0;"> <span id="LC14" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC15" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC16" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">aer2ned</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC17" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">elev</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">slantRange</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">-<span id="LC18" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC17" class="line" lang="python"> <span class="n" style="color: #333;">az</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">elev</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">slantRange</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">+<span id="LC18" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC19" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC20" class="line" lang="python"><span class="s" style="color: #d14;"> converts azimuth, elevation, range to target from observer to North, East, Down</span></span>
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<pre style="margin: 0;"> <span id="LC21" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -45,7 +45,9 @@ def aer2ned(</td>
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<pre style="margin: 0;"> <span id="LC45" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">n</span><span class="p">,</span> <span class="n" style="color: #333;">e</span><span class="p">,</span> <span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">u</span></span>
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<pre style="margin: 0;"> <span id="LC46" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC47" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC48" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">ned2aer</span><span class="p">(</span><span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">d</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC48" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">ned2aer</span><span class="p">(</span></span>
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<pre style="margin: 0;">+<span id="LC49" class="line" lang="python"> <span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">d</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span></span>
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<pre style="margin: 0;">+<span id="LC50" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC51" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC52" class="line" lang="python"><span class="s" style="color: #d14;"> converts North, East, Down to azimuth, elevation, range</span></span>
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<pre style="margin: 0;"> <span id="LC53" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -75,15 +77,15 @@ def ned2aer(n: float, e: float, d: float, deg: bool = True) -> tuple[float, floa</td>
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<pre style="margin: 0;"> <span id="LC77" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC78" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC79" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">ned2geodetic</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC78" class="line" lang="python"> <span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC79" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC80" class="line" lang="python"> <span class="n" style="color: #333;">d</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC81" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC82" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC83" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC80" class="line" lang="python"> <span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC81" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC82" class="line" lang="python"> <span class="n" style="color: #333;">d</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC83" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC84" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC85" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC86" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC87" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC86" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC88" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC89" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC90" class="line" lang="python"><span class="s" style="color: #d14;"> Converts North, East, Down to target latitude, longitude, altitude</span></span>
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<pre style="margin: 0;"> <span id="LC91" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -124,15 +126,15 @@ def ned2geodetic(</td>
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<pre style="margin: 0;"> <span id="LC126" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC127" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC128" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">ned2ecef</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC127" class="line" lang="python"> <span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC128" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC129" class="line" lang="python"> <span class="n" style="color: #333;">d</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC130" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC131" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC132" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC129" class="line" lang="python"> <span class="n" style="color: #333;">n</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC130" class="line" lang="python"> <span class="n" style="color: #333;">e</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC131" class="line" lang="python"> <span class="n" style="color: #333;">d</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC132" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC133" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC134" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC135" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC136" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC135" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC137" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC138" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC139" class="line" lang="python"><span class="s" style="color: #d14;"> North, East, Down to target ECEF coordinates</span></span>
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<pre style="margin: 0;"> <span id="LC140" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -170,15 +172,15 @@ def ned2ecef(</td>
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<pre style="margin: 0;"> <span id="LC172" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC173" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC174" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">ecef2ned</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC173" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC174" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC175" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC176" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC177" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC178" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC175" class="line" lang="python"> <span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC176" class="line" lang="python"> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC177" class="line" lang="python"> <span class="n" style="color: #333;">z</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC178" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC179" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC180" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC181" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC182" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC181" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC183" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC184" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC185" class="line" lang="python"><span class="s" style="color: #d14;"> Convert ECEF x,y,z to North, East, Down</span></span>
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<pre style="margin: 0;"> <span id="LC186" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -219,15 +221,15 @@ def ecef2ned(</td>
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<pre style="margin: 0;"> <span id="LC221" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC222" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC223" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">geodetic2ned</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC222" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC223" class="line" lang="python"> <span class="n" style="color: #333;">lon</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC224" class="line" lang="python"> <span class="n" style="color: #333;">h</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC225" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC226" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC227" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC224" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC225" class="line" lang="python"> <span class="n" style="color: #333;">lon</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC226" class="line" lang="python"> <span class="n" style="color: #333;">h</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC227" class="line" lang="python"> <span class="n" style="color: #333;">lat0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC228" class="line" lang="python"> <span class="n" style="color: #333;">lon0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC229" class="line" lang="python"> <span class="n" style="color: #333;">h0</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC230" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC231" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC230" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff right">|</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC232" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff right">,</span></span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC233" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC234" class="line" lang="python"><span class="s" style="color: #d14;"> convert latitude, longitude, altitude of target to North, East, Down from observer</span></span>
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<pre style="margin: 0;"> <span id="LC235" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -36,7 +36,7 @@ def geocentric_radius(geodetic_lat: float, ell: Ellipsoid = None, deg: bool = Tr</td>
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<pre style="margin: 0;"> <span id="LC36" class="line" lang="python"> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC37" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC38" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC39" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">rcurve_parallel</span><span class="p">(</span><span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC39" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">rcurve_parallel</span><span class="p">(</span><span class="n" style="color: #333;">lat</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC40" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC41" class="line" lang="python"><span class="s" style="color: #d14;"> computes the radius of the small circle encompassing the globe at the specified latitude</span></span>
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<pre style="margin: 0;"> <span id="LC42" class="line" lang="python"></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#0184652266be65951f0465bd7701ea0e4f49bf4e"><strong>src/pymap3d/rsphere.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -94,13 +94,13 @@ def rsphere_rectifying(ell: Ellipsoid = None) -> float:</td>
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<pre style="margin: 0;"> <span id="LC94" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC95" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC96" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">rsphere_euler</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC97" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC98" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC99" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff right"> </span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC100" class="line" lang="python"> <span class="n" style="color: #333;">lon2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC97" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC98" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC99" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span><span class="p">:</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC100" class="line" lang="python"> <span class="n" style="color: #333;">lon2</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC101" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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102
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102
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<pre style="margin: 0;"> <span id="LC102" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC103" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">:</span></span>
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103
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<pre style="margin: 0;">+<span id="LC103" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">:</span></span>
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104
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<pre style="margin: 0;"> <span id="LC104" class="line" lang="python"> <span class="s" style="color: #d14;">"""computes the Euler radii of curvature at the midpoint of the</span></span>
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105
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<pre style="margin: 0;"> <span id="LC105" class="line" lang="python"><span class="s" style="color: #d14;"> great circle arc defined by the endpoints (lat1,lon1) and (lat2,lon2)</span></span>
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106
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<pre style="margin: 0;"> <span id="LC106" class="line" lang="python"></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#52a895ab74a06afea2650b6819941ceaab7b697d"><strong>src/pymap3d/tests/__init__.py</strong></a>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#9e553593b34fa6c844e40a27e64ee6af367c41e4"><strong>src/pymap3d/tests/test_aer.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -16,6 +16,9 @@ def test_aer2ecef(aer, lla, xyz):</td>
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<pre style="margin: 0;"> <span id="LC16" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="n" style="color: #333;">x</span> <span class="o" style="font-weight: 600;">==</span> <span class="n" style="color: #333;">approx</span><span class="p">(</span><span class="n" style="color: #333;">xyz</span><span class="p">[</span><span class="mi" style="color: #099;">0</span><span class="p">])</span></span>
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<pre style="margin: 0;"> <span id="LC17" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="n" style="color: #333;">y</span> <span class="o" style="font-weight: 600;">==</span> <span class="n" style="color: #333;">approx</span><span class="p">(</span><span class="n" style="color: #333;">xyz</span><span class="p">[</span><span class="mi" style="color: #099;">1</span><span class="p">])</span></span>
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<pre style="margin: 0;"> <span id="LC18" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="n" style="color: #333;">z</span> <span class="o" style="font-weight: 600;">==</span> <span class="n" style="color: #333;">approx</span><span class="p">(</span><span class="n" style="color: #333;">xyz</span><span class="p">[</span><span class="mi" style="color: #099;">2</span><span class="p">])</span></span>
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<pre style="margin: 0;">+<span id="LC19" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="nb" style="color: #0086b3;">isinstance</span><span class="p">(</span><span class="n" style="color: #333;">x</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC20" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="nb" style="color: #0086b3;">isinstance</span><span class="p">(</span><span class="n" style="color: #333;">y</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC21" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="nb" style="color: #0086b3;">isinstance</span><span class="p">(</span><span class="n" style="color: #333;">z</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC22" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC23" class="line" lang="python"> <span class="n" style="color: #333;">raer</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">aer</span><span class="p">[</span><span class="mi" style="color: #099;">0</span><span class="p">]),</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">aer</span><span class="p">[</span><span class="mi" style="color: #099;">1</span><span class="p">]),</span> <span class="n" style="color: #333;">aer</span><span class="p">[</span><span class="mi" style="color: #099;">2</span><span class="p">])</span></span>
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24
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<pre style="margin: 0;"> <span id="LC24" class="line" lang="python"> <span class="n" style="color: #333;">rlla</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">lla</span><span class="p">[</span><span class="mi" style="color: #099;">0</span><span class="p">]),</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">lla</span><span class="p">[</span><span class="mi" style="color: #099;">1</span><span class="p">]),</span> <span class="n" style="color: #333;">lla</span><span class="p">[</span><span class="mi" style="color: #099;">2</span><span class="p">])</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#1067fa4c2eb7257482ce1371d2dcbdb58be76199"><strong>src/pymap3d/tests/test_geodetic.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -37,17 +37,11 @@ def test_3d_geodetic2ecef():</td>
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<pre style="margin: 0;"> <span id="LC37" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="p">(</span><span class="n" style="color: #333;">x0</span><span class="p">,</span> <span class="n" style="color: #333;">y0</span><span class="p">,</span> <span class="n" style="color: #333;">z0</span><span class="p">)</span> <span class="o" style="font-weight: 600;">==</span> <span class="n" style="color: #333;">approx</span><span class="p">(</span><span class="n" style="color: #333;">xyz0</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC38" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC39" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC40" class="line" lang="python"><span class="o" style="font-weight: 600;">@</span><span class="n" style="color: #333;">pytest</span><span class="p">.</span><span class="n" style="color: #333;">mark</span><span class="p">.</span><span class="n" style="color: #333;">parametrize</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC41" class="line" lang="python"> <span class="s" style="color: #d14;">"xyz"</span><span class="p">,</span> <span class="p">[(</span><span class="n" style="color: #333;">xyz0</span><span class="p">[</span><span class="mi" style="color: #099;">0</span><span class="p">],</span> <span class="n" style="color: #333;">xyz0</span><span class="p">[</span><span class="mi" style="color: #099;">1</span><span class="p">],</span> <span class="n" style="color: #333;">xyz0</span><span class="p">[</span><span class="mi" style="color: #099;">2</span><span class="p">]),</span> <span class="p">([</span><span class="n" style="color: #333;">xyz0</span><span class="p">[</span><span class="mi" style="color: #099;">0</span><span class="p">]],</span> <span class="p">[</span><span class="n" style="color: #333;">xyz0</span><span class="p">[</span><span class="mi" style="color: #099;">1</span><span class="p">]],</span> <span class="p">[</span><span class="n" style="color: #333;">xyz0</span><span class="p">[</span><span class="mi" style="color: #099;">2</span><span class="p">]])],</span> <span class="n" style="color: #333;">ids</span><span class="o" style="font-weight: 600;">=</span><span class="p">(</span><span class="s" style="color: #d14;">"scalar"</span><span class="p">,</span> <span class="s" style="color: #d14;">"list"</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC42" class="line" lang="python"><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC43" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">test_scalar_ecef2geodetic</span><span class="p">(</span><span class="n" style="color: #333;">xyz</span><span class="p">):</span></span>
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<pre style="margin: 0;">+<span id="LC40" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">test_scalar_ecef2geodetic</span><span class="p">():</span></span>
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<pre style="margin: 0;"> <span id="LC41" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC42" class="line" lang="python"><span class="s" style="color: #d14;"> verify we can handle the wide variety of input data type users might use</span></span>
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<pre style="margin: 0;"> <span id="LC43" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;">-<span id="LC47" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">isinstance</span><span class="p">(</span><span class="n" style="color: #333;">xyz</span><span class="p">[</span><span class="mi" style="color: #099;">0</span><span class="p">],</span> <span class="nb" style="color: #0086b3;">list</span><span class="p">):</span></span>
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<pre style="margin: 0;">-<span id="LC48" class="line" lang="python"> <span class="n" style="color: #333;">pytest</span><span class="p">.</span><span class="n" style="color: #333;">importorskip</span><span class="p">(</span><span class="s" style="color: #d14;">"numpy"</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC49" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC50" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">,</span> <span class="n" style="color: #333;">alt</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">pm</span><span class="p">.</span><span class="n" style="color: #333;">ecef2geodetic</span><span class="p">(</span><span class="o" style="font-weight: 600;">*</span><span class="n" style="color: #333;">xyz</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC44" class="line" lang="python"> <span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">,</span> <span class="n" style="color: #333;">alt</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">pm</span><span class="p">.</span><span class="n" style="color: #333;">ecef2geodetic</span><span class="p">(</span><span class="n" style="color: #333;">xyz0</span><span class="p">[</span><span class="mi" style="color: #099;">0</span><span class="p">],</span> <span class="n" style="color: #333;">xyz0</span><span class="p">[</span><span class="mi" style="color: #099;">1</span><span class="p">],</span> <span class="n" style="color: #333;">xyz0</span><span class="p">[</span><span class="mi" style="color: #099;">2</span><span class="p">])</span></span>
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<pre style="margin: 0;"> <span id="LC45" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC46" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="p">[</span><span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">,</span> <span class="n" style="color: #333;">alt</span><span class="p">]</span> <span class="o" style="font-weight: 600;">==</span> <span class="n" style="color: #333;">approx</span><span class="p">(</span><span class="n" style="color: #333;">lla0</span><span class="p">,</span> <span class="n" style="color: #333;">rel</span><span class="o" style="font-weight: 600;">=</span><span class="mf" style="color: #099;">1e-4</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC47" class="line" lang="python"></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#59700bf05771ef96649764fc371010f91f3f83d5"><strong>src/pymap3d/tests/test_vincenty_vreckon.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -30,7 +30,10 @@ def test_unit(lat, lon, srange, az, lato, lono):</td>
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<pre style="margin: 0;"> <span id="LC30" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="n" style="color: #333;">lon1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vincenty</span><span class="p">.</span><span class="n" style="color: #333;">vreckon</span><span class="p">(</span><span class="n" style="color: #333;">lat</span><span class="p">,</span> <span class="n" style="color: #333;">lon</span><span class="p">,</span> <span class="n" style="color: #333;">srange</span><span class="p">,</span> <span class="n" style="color: #333;">az</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC31" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC32" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="n" style="color: #333;">lat1</span> <span class="o" style="font-weight: 600;">==</span> <span class="n" style="color: #333;">approx</span><span class="p">(</span><span class="n" style="color: #333;">lato</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC33" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="nb" style="color: #0086b3;">isinstance</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC34" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC35" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="n" style="color: #333;">lon1</span> <span class="o" style="font-weight: 600;">==</span> <span class="n" style="color: #333;">approx</span><span class="p">(</span><span class="n" style="color: #333;">lono</span><span class="p">,</span> <span class="n" style="color: #333;">rel</span><span class="o" style="font-weight: 600;">=</span><span class="mf" style="color: #099;">0.001</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC36" class="line" lang="python"> <span class="k" style="font-weight: 600;">assert</span> <span class="nb" style="color: #0086b3;">isinstance</span><span class="p">(</span><span class="n" style="color: #333;">lon1</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC37" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC38" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC39" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">test_az_vector</span><span class="p">():</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#fe98e6b6f9e985ffc694a800123eb551930390b7"><strong>src/pymap3d/utils.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -8,26 +8,26 @@ import typing</td>
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<pre style="margin: 0;"> <span id="LC8" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">.ellipsoid</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">Ellipsoid</span></span>
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="python"><span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC11" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">hypot</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">sin</span><span class="p">,</span> <span class="n" style="color: #333;">arctan2</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;">asarray</span><span class="p">,</span> <span class="n" style="color: #333;">ndarray</span></span>
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<pre style="margin: 0;">+<span id="LC11" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">hypot</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">sin</span><span class="p">,</span> <span class="n" style="color: #333;">arctan2</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span><span class="p">,</span> <span class="n" style="color: #333;">asarray</span><span class="p">,</span> <span class="n" style="color: #333;">ndarray</span><span class="p"><span class="idiff left">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">sign</span></span></span>
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<pre style="margin: 0;"> <span id="LC12" class="line" lang="python"><span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">ImportError</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC13" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">math</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">hypot</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">sin</span><span class="p">,</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">pi</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC14" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC15" class="line" lang="python"> <span class="n" style="color: #333;">asarray</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;"> <span id="LC16" class="line" lang="python"> <span class="n" style="color: #333;">ndarray</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">typing</span><span class="p">.</span><span class="n" style="color: #333;">Any</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC17" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC18" class="line" lang="python"><span class="n" style="color: #333;">__all__</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">[</span><span class="s" style="color: #d14;">"cart2pol"</span><span class="p">,</span> <span class="s" style="color: #d14;">"pol2cart"</span><span class="p">,</span> <span class="s" style="color: #d14;">"cart2sph"</span><span class="p">,</span> <span class="s" style="color: #d14;">"sph2cart"</span><span class="p">,</span> <span class="s" style="color: #d14;">"sign"</span><span class="p">]</span></span>
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<pre style="margin: 0;">+<span id="LC18" class="line" lang="python"> <span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">sign</span><span class="p">(</span><span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;">+<span id="LC19" class="line" lang="python"> <span class="s" style="color: #d14;">""" signum function """</span></span>
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<pre style="margin: 0;">+<span id="LC20" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">x</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC21" class="line" lang="python"> <span class="n" style="color: #333;">y</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="mf" style="color: #099;">1.0</span></span>
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<pre style="margin: 0;">+<span id="LC22" class="line" lang="python"> <span class="k" style="font-weight: 600;">elif</span> <span class="n" style="color: #333;">x</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC23" class="line" lang="python"> <span class="n" style="color: #333;">y</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">1.0</span></span>
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<pre style="margin: 0;">+<span id="LC24" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC25" class="line" lang="python"> <span class="n" style="color: #333;">y</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;"> <span id="LC26" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC27" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">y</span></span>
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<pre style="margin: 0;"> <span id="LC28" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC21" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">sign</span><span class="p">(</span><span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">float</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC22" class="line" lang="python"> <span class="s" style="color: #d14;">""" signum function """</span></span>
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<pre style="margin: 0;">-<span id="LC23" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">x</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC24" class="line" lang="python"> <span class="n" style="color: #333;">y</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="mf" style="color: #099;">1.0</span></span>
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<pre style="margin: 0;">-<span id="LC25" class="line" lang="python"> <span class="k" style="font-weight: 600;">elif</span> <span class="n" style="color: #333;">x</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC26" class="line" lang="python"> <span class="n" style="color: #333;">y</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">1.0</span></span>
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<pre style="margin: 0;">-<span id="LC27" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC28" class="line" lang="python"> <span class="n" style="color: #333;">y</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;"> <span id="LC29" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC30" class="line" lang="python"><span class="idiff left"> </span><span class="k" style="font-weight: 600;"><span class="idiff">return</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">y</span></span></span>
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<pre style="margin: 0;">+<span id="LC30" class="line" lang="python"><span class="n" style="color: #333;"><span class="idiff left">__all__</span></span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">=</span></span><span class="idiff"> </span><span class="p"><span class="idiff">[</span></span><span class="s" style="color: #d14;"><span class="idiff">"cart2pol"</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="s" style="color: #d14;"><span class="idiff">"pol2cart"</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="s" style="color: #d14;"><span class="idiff">"cart2sph"</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="s" style="color: #d14;"><span class="idiff">"sph2cart"</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="s" style="color: #d14;"><span class="idiff">"sign"</span></span><span class="p"><span class="idiff right">]</span></span></span>
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<pre style="margin: 0;"> <span id="LC31" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC32" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC33" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">cart2pol</span><span class="p">(</span><span class="n" style="color: #333;">x</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">y</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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<a href="https://salsa.debian.org/debian-gis-team/pymap3d/-/commit/486084e0fba575d50c2a1c56e23acbde439e2a5a#b3a86c8dec47b52d72c15e01f9e8d27b6c10061f"><strong>src/pymap3d/vincenty.py</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -5,13 +5,27 @@ Vincenty's methods for computing ground distance and reckoning</td>
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">__future__</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">annotations</span></span>
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<pre style="margin: 0;"> <span id="LC6" class="line" lang="python"><span class="kn" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">typing</span></span>
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<pre style="margin: 0;"> <span id="LC7" class="line" lang="python"><span class="kn" style="font-weight: 600;">import</span> <span class="nn" style="color: #555;">logging</span></span>
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<pre style="margin: 0;">-<span id="LC8" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">math</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;"><span class="idiff left">sqrt</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">tan</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">sin</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">cos</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">isnan</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">atan</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">atan2</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">asin</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">nan</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">pi</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">radians</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">degrees</span></span></span>
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<pre style="margin: 0;">+<span id="LC8" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">math</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;"><span class="idiff left">nan</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">pi</span></span></span>
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">copy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">copy</span></span>
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<pre style="margin: 0;"> <span id="LC10" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC11" class="line" lang="python"><span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC12" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">vectorize</span></span>
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<pre style="margin: 0;">+<span id="LC12" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">numpy</span> <span class="kn" style="font-weight: 600;">import</span> <span class="p">(</span></span>
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<pre style="margin: 0;">+<span id="LC13" class="line" lang="python"> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC14" class="line" lang="python"> <span class="n" style="color: #333;">atleast_1d</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC15" class="line" lang="python"> <span class="n" style="color: #333;">sqrt</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC16" class="line" lang="python"> <span class="n" style="color: #333;">tan</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC17" class="line" lang="python"> <span class="n" style="color: #333;">sin</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC18" class="line" lang="python"> <span class="n" style="color: #333;">cos</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC19" class="line" lang="python"> <span class="n" style="color: #333;">isnan</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC20" class="line" lang="python"> <span class="n" style="color: #333;">arctan</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atan</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC21" class="line" lang="python"> <span class="n" style="color: #333;">arctan2</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC22" class="line" lang="python"> <span class="n" style="color: #333;">arcsin</span> <span class="k" style="font-weight: 600;">as</span> <span class="n" style="color: #333;">asin</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC23" class="line" lang="python"> <span class="n" style="color: #333;">radians</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC24" class="line" lang="python"> <span class="n" style="color: #333;">degrees</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC25" class="line" lang="python"> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC26" class="line" lang="python"><span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">ImportError</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC14" class="line" lang="python"> <span class="n" style="color: #333;">vectorize</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;">+<span id="LC27" class="line" lang="python"> <span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">math</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">sqrt</span><span class="p">,</span> <span class="n" style="color: #333;">tan</span><span class="p">,</span> <span class="n" style="color: #333;">sin</span><span class="p">,</span> <span class="n" style="color: #333;">cos</span><span class="p">,</span> <span class="n" style="color: #333;">isnan</span><span class="p">,</span> <span class="n" style="color: #333;">atan</span><span class="p">,</span> <span class="n" style="color: #333;">atan2</span><span class="p">,</span> <span class="n" style="color: #333;">asin</span><span class="p">,</span> <span class="n" style="color: #333;">radians</span><span class="p">,</span> <span class="n" style="color: #333;">degrees</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;">+<span id="LC28" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC29" class="line" lang="python"> <span class="n" style="color: #333;">ndarray</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">typing</span><span class="p">.</span><span class="n" style="color: #333;">Any</span> <span class="c1" style="color: #998; font-style: italic;"># type: ignore</span></span>
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<pre style="margin: 0;"> <span id="LC30" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC31" class="line" lang="python"><span class="kn" style="font-weight: 600;">from</span> <span class="nn" style="color: #555;">.ellipsoid</span> <span class="kn" style="font-weight: 600;">import</span> <span class="n" style="color: #333;">Ellipsoid</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -21,8 +35,12 @@ __all__ = ["vdist", "vreckon", "track2"]</td>
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<pre style="margin: 0;"> <span id="LC35" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC36" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC37" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">vdist</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC24" class="line" lang="python"> <span class="n" style="color: #333;">Lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">Lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">Lat2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">Lon2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;">-<span id="LC25" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC38" class="line" lang="python"> <span class="n" style="color: #333;">Lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC39" class="line" lang="python"> <span class="n" style="color: #333;">Lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC40" class="line" lang="python"> <span class="n" style="color: #333;">Lat2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC41" class="line" lang="python"> <span class="n" style="color: #333;">Lon2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC42" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC43" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">ndarray</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC44" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC45" class="line" lang="python"><span class="s" style="color: #d14;"> Using the reference ellipsoid, compute the distance between two points</span></span>
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<pre style="margin: 0;"> <span id="LC46" class="line" lang="python"><span class="s" style="color: #d14;"> within a few millimeters of accuracy, compute forward azimuth,</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -93,22 +111,20 @@ def vdist(</td>
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<pre style="margin: 0;"> <span id="LC111" class="line" lang="python"><span class="s" style="color: #d14;"> 11. Azimuths agree with the Mapping Toolbox, version 2.2 (R14SP3) to within about a hundred-thousandth of a degree, except when traversing to or from a pole, where the convention for this function is described in (10), and except in the cases noted above in (9).</span></span>
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<pre style="margin: 0;"> <span id="LC112" class="line" lang="python"><span class="s" style="color: #d14;"> 12. No warranties; use at your own risk.</span></span>
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<pre style="margin: 0;"> <span id="LC113" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;">-<span id="LC96" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">vectorize</span> <span class="ow" style="font-weight: 600;">is</span> <span class="ow" style="font-weight: 600;">not</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC97" class="line" lang="python"> <span class="n" style="color: #333;">fun</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vectorize</span><span class="p">(</span><span class="n" style="color: #333;">vdist_point</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC98" class="line" lang="python"> <span class="n" style="color: #333;">dist</span><span class="p">,</span> <span class="n" style="color: #333;">az</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">fun</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">,</span> <span class="n" style="color: #333;">Lon1</span><span class="p">,</span> <span class="n" style="color: #333;">Lat2</span><span class="p">,</span> <span class="n" style="color: #333;">Lon2</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC99" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">dist</span><span class="p">[()],</span> <span class="n" style="color: #333;">az</span><span class="p">[()]</span></span>
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<pre style="margin: 0;">-<span id="LC100" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC101" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">vdist_point</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">,</span> <span class="n" style="color: #333;">Lon1</span><span class="p">,</span> <span class="n" style="color: #333;">Lat2</span><span class="p">,</span> <span class="n" style="color: #333;">Lon2</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC102" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC114" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC104" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">vdist_point</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC105" class="line" lang="python"> <span class="n" style="color: #333;">Lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">Lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">Lat2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">ndarray</span><span class="p">,</span> <span class="n" style="color: #333;">Lon2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;">-<span id="LC106" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC115" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">ell</span> <span class="ow" style="font-weight: 600;">is</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC116" class="line" lang="python"> <span class="n" style="color: #333;">ell</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">Ellipsoid</span><span class="p">()</span></span>
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<pre style="margin: 0;"> <span id="LC117" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># %% Input check:</span></span>
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<pre style="margin: 0;">-<span id="LC110" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">90</span><span class="p">)</span> <span class="o" style="font-weight: 600;">|</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">Lat2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">90</span><span class="p">):</span></span>
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<pre style="margin: 0;">-<span id="LC111" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Input latitudes must be in [-90, 90] degrees."</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC118" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC119" class="line" lang="python"> <span class="n" style="color: #333;">Lat1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC120" class="line" lang="python"> <span class="n" style="color: #333;">Lon1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">Lon1</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC121" class="line" lang="python"> <span class="n" style="color: #333;">Lat2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">Lat2</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC122" class="line" lang="python"> <span class="n" style="color: #333;">Lon2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">Lon2</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC123" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">90</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">()</span> <span class="o" style="font-weight: 600;">|</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">Lat2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">90</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">():</span></span>
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<pre style="margin: 0;">+<span id="LC124" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Input latitudes must be in [-90, 90] degrees."</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC125" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">NameError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC126" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">90</span><span class="p">)</span> <span class="o" style="font-weight: 600;">|</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">Lat2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">90</span><span class="p">):</span></span>
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<pre style="margin: 0;">+<span id="LC127" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Input latitudes must be in [-90, 90] degrees."</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC128" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># %% Supply WGS84 earth ellipsoid axis lengths in meters:</span></span>
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<pre style="margin: 0;"> <span id="LC129" class="line" lang="python"> <span class="n" style="color: #333;">a</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ell</span><span class="p">.</span><span class="n" style="color: #333;">semimajor_axis</span></span>
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<pre style="margin: 0;"> <span id="LC130" class="line" lang="python"> <span class="n" style="color: #333;">b</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ell</span><span class="p">.</span><span class="n" style="color: #333;">semiminor_axis</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="119" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -119,19 +135,30 @@ def vdist_point(</td>
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<pre style="margin: 0;"> <span id="LC135" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">Lat2</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC136" class="line" lang="python"> <span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">Lon2</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC137" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># %% correct for errors at exact poles by adjusting 0.6 millimeters:</span></span>
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<pre style="margin: 0;">-<span id="LC122" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC123" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC138" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC139" class="line" lang="python"> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-10</span></span>
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<pre style="margin: 0;">+<span id="LC140" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">[</span><span class="n" style="color: #333;">i</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">[</span><span class="n" style="color: #333;">i</span><span class="p">])</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC141" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC125" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC126" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC142" class="line" lang="python"> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-10</span></span>
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<pre style="margin: 0;">+<span id="LC143" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span><span class="p">[</span><span class="n" style="color: #333;">i</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">[</span><span class="n" style="color: #333;">i</span><span class="p">])</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC144" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">TypeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC145" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC146" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC147" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC148" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC149" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC150" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC151" class="line" lang="python"> <span class="n" style="color: #333;">U1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atan</span><span class="p">((</span><span class="mi" style="color: #099;">1</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">f</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">tan</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">))</span></span>
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<pre style="margin: 0;"> <span id="LC152" class="line" lang="python"> <span class="n" style="color: #333;">U2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atan</span><span class="p">((</span><span class="mi" style="color: #099;">1</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">f</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">tan</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">))</span></span>
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<pre style="margin: 0;"> <span id="LC153" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lon1</span> <span class="o" style="font-weight: 600;">%</span> <span class="p">(</span><span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">pi</span><span class="p">)</span></span>
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154
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<pre style="margin: 0;"> <span id="LC154" class="line" lang="python"> <span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">%</span> <span class="p">(</span><span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">pi</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC155" class="line" lang="python"> <span class="n" style="color: #333;">L</span> <span class="o" style="font-weight: 600;">=</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">lon1</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC133" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">L</span> <span class="o" style="font-weight: 600;">></span> <span class="n" style="color: #333;">pi</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC134" class="line" lang="python"> <span class="n" style="color: #333;">L</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">L</span></span>
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<pre style="margin: 0;">+<span id="LC156" class="line" lang="python"></span>
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157
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<pre style="margin: 0;">+<span id="LC157" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC158" class="line" lang="python"> <span class="n" style="color: #333;">L</span><span class="p">[</span><span class="n" style="color: #333;">L</span> <span class="o" style="font-weight: 600;">></span> <span class="n" style="color: #333;">pi</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">L</span><span class="p">[</span><span class="n" style="color: #333;">L</span> <span class="o" style="font-weight: 600;">></span> <span class="n" style="color: #333;">pi</span><span class="p">]</span></span>
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<pre style="margin: 0;">+<span id="LC159" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">TypeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC160" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">L</span> <span class="o" style="font-weight: 600;">></span> <span class="n" style="color: #333;">pi</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC161" class="line" lang="python"> <span class="n" style="color: #333;">L</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">L</span></span>
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<pre style="margin: 0;"> <span id="LC162" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC163" class="line" lang="python"> <span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">copy</span><span class="p">(</span><span class="n" style="color: #333;">L</span><span class="p">)</span> <span class="c1" style="color: #998; font-style: italic;"># NOTE: program will fail without copy!</span></span>
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<pre style="margin: 0;"> <span id="LC164" class="line" lang="python"> <span class="n" style="color: #333;">itercount</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">0</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -161,15 +188,23 @@ def vdist_point(</td>
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<pre style="margin: 0;"> <span id="LC188" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC189" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC190" class="line" lang="python"> <span class="n" style="color: #333;">sinAlpha</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">U1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">U2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span><span class="p">)</span> <span class="o" style="font-weight: 600;">/</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">sigma</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC164" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">ZeroDivisionError</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC165" class="line" lang="python"> <span class="n" style="color: #333;">sinAlpha</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;">-<span id="LC166" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC167" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">isnan</span><span class="p">(</span><span class="n" style="color: #333;">sinAlpha</span><span class="p">):</span></span>
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<pre style="margin: 0;">-<span id="LC168" class="line" lang="python"> <span class="n" style="color: #333;">alpha</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;">-<span id="LC169" class="line" lang="python"> <span class="k" style="font-weight: 600;">elif</span> <span class="n" style="color: #333;">sinAlpha</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">1</span> <span class="ow" style="font-weight: 600;">or</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">sinAlpha</span> <span class="o" style="font-weight: 600;">-</span> <span class="mi" style="color: #099;">1</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-16</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC170" class="line" lang="python"> <span class="n" style="color: #333;">alpha</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span></span>
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<pre style="margin: 0;">-<span id="LC171" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC191" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC192" class="line" lang="python"> <span class="n" style="color: #333;">alpha</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">asin</span><span class="p">(</span><span class="n" style="color: #333;">sinAlpha</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC193" class="line" lang="python"> <span class="n" style="color: #333;">alpha</span><span class="p">[</span><span class="n" style="color: #333;">isnan</span><span class="p">(</span><span class="n" style="color: #333;">sinAlpha</span><span class="p">)]</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">0</span></span>
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<pre style="margin: 0;">+<span id="LC194" class="line" lang="python"> <span class="n" style="color: #333;">alpha</span><span class="p">[(</span><span class="n" style="color: #333;">sinAlpha</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">|</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">sinAlpha</span> <span class="o" style="font-weight: 600;">-</span> <span class="mi" style="color: #099;">1</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-16</span><span class="p">)]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span></span>
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<pre style="margin: 0;">+<span id="LC195" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC196" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">ZeroDivisionError</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">TypeError</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">):</span></span>
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<pre style="margin: 0;">+<span id="LC197" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC198" class="line" lang="python"> <span class="n" style="color: #333;">sinAlpha</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">U1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">U2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span><span class="p">)</span> <span class="o" style="font-weight: 600;">/</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">sigma</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC199" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">ZeroDivisionError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC200" class="line" lang="python"> <span class="n" style="color: #333;">sinAlpha</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;">+<span id="LC201" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC202" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">isnan</span><span class="p">(</span><span class="n" style="color: #333;">sinAlpha</span><span class="p">):</span></span>
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<pre style="margin: 0;">+<span id="LC203" class="line" lang="python"> <span class="n" style="color: #333;">alpha</span> <span class="o" style="font-weight: 600;">=</span> <span class="mf" style="color: #099;">0.0</span></span>
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<pre style="margin: 0;">+<span id="LC204" class="line" lang="python"> <span class="k" style="font-weight: 600;">elif</span> <span class="n" style="color: #333;">sinAlpha</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">1</span> <span class="ow" style="font-weight: 600;">or</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">sinAlpha</span> <span class="o" style="font-weight: 600;">-</span> <span class="mi" style="color: #099;">1</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-16</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC205" class="line" lang="python"> <span class="n" style="color: #333;">alpha</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span></span>
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<pre style="margin: 0;">+<span id="LC206" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC207" class="line" lang="python"> <span class="n" style="color: #333;">alpha</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">asin</span><span class="p">(</span><span class="n" style="color: #333;">sinAlpha</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC208" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC209" class="line" lang="python"> <span class="n" style="color: #333;">cos2sigmam</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">sigma</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">U1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">U2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">/</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">alpha</span><span class="p">)</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span></span>
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<pre style="margin: 0;"> <span id="LC210" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -180,7 +215,12 @@ def vdist_point(</td>
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215
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<pre style="margin: 0;"> <span id="LC215" class="line" lang="python"> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC216" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># print(f'then, lambda(21752) = {lamb[21752],20})</span></span>
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<pre style="margin: 0;"> <span id="LC217" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># correct for convergence failure for essentially antipodal points</span></span>
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<pre style="margin: 0;">-<span id="LC183" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">></span> <span class="n" style="color: #333;">pi</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC218" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC219" class="line" lang="python"> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">></span> <span class="n" style="color: #333;">pi</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">()</span></span>
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<pre style="margin: 0;">+<span id="LC220" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">AttributeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC221" class="line" lang="python"> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">></span> <span class="n" style="color: #333;">pi</span></span>
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<pre style="margin: 0;">+<span id="LC222" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC223" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">i</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC224" class="line" lang="python"> <span class="n" style="color: #333;">logging</span><span class="p">.</span><span class="n" style="color: #333;">warning</span><span class="p">(</span></span>
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<pre style="margin: 0;"> <span id="LC225" class="line" lang="python"> <span class="s" style="color: #d14;">"Essentially antipodal points encountered. Precision may be reduced slightly."</span></span>
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<pre style="margin: 0;"> <span id="LC226" class="line" lang="python"> <span class="p">)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -188,7 +228,10 @@ def vdist_point(</td>
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<pre style="margin: 0;"> <span id="LC228" class="line" lang="python"> <span class="n" style="color: #333;">lambdaold</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">pi</span></span>
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<pre style="margin: 0;"> <span id="LC229" class="line" lang="python"> <span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">pi</span></span>
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<pre style="margin: 0;"> <span id="LC230" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC191" class="line" lang="python"> <span class="n" style="color: #333;">notdone</span> <span class="o" style="font-weight: 600;">=</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">lambdaold</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mf" style="color: #099;">1e-12</span></span>
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<pre style="margin: 0;">+<span id="LC231" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC232" class="line" lang="python"> <span class="n" style="color: #333;">notdone</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">lambdaold</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mf" style="color: #099;">1e-12</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">()</span></span>
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<pre style="margin: 0;">+<span id="LC233" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">AttributeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC234" class="line" lang="python"> <span class="n" style="color: #333;">notdone</span> <span class="o" style="font-weight: 600;">=</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">lambdaold</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mf" style="color: #099;">1e-12</span></span>
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<pre style="margin: 0;"> <span id="LC235" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC236" class="line" lang="python"> <span class="n" style="color: #333;">u2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">alpha</span><span class="p">)</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="n" style="color: #333;">a</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">b</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">/</span> <span class="n" style="color: #333;">b</span> <span class="o" style="font-weight: 600;">**</span> <span class="mi" style="color: #099;">2</span></span>
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<pre style="margin: 0;"> <span id="LC237" class="line" lang="python"> <span class="n" style="color: #333;">A</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">1</span> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">u2</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">16384</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="mi" style="color: #099;">4096</span> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">u2</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="o" style="font-weight: 600;">-</span><span class="mi" style="color: #099;">768</span> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">u2</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="mi" style="color: #099;">320</span> <span class="o" style="font-weight: 600;">-</span> <span class="mi" style="color: #099;">175</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">u2</span><span class="p">)))</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -212,8 +255,14 @@ def vdist_point(</td>
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<pre style="margin: 0;"> <span id="LC255" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># %% From point #1 to point #2</span></span>
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<pre style="margin: 0;"> <span id="LC256" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># correct sign of lambda for azimuth calcs:</span></span>
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<pre style="margin: 0;"> <span id="LC257" class="line" lang="python"> <span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">=</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC215" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">lon1</span><span class="p">))</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC216" class="line" lang="python"> <span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">lamb</span></span>
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<pre style="margin: 0;">+<span id="LC258" class="line" lang="python"></span>
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<pre style="margin: 0;">+<span id="LC259" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC260" class="line" lang="python"> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">lon1</span><span class="p">))</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span></span>
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<pre style="margin: 0;">+<span id="LC261" class="line" lang="python"> <span class="n" style="color: #333;">lamb</span><span class="p">[</span><span class="n" style="color: #333;">i</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">lamb</span><span class="p">[</span><span class="n" style="color: #333;">i</span><span class="p">]</span></span>
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262
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<pre style="margin: 0;">+<span id="LC262" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">TypeError</span><span class="p">:</span></span>
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263
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<pre style="margin: 0;">+<span id="LC263" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">lon1</span><span class="p">))</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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264
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<pre style="margin: 0;">+<span id="LC264" class="line" lang="python"> <span class="n" style="color: #333;">lamb</span> <span class="o" style="font-weight: 600;">=</span> <span class="o" style="font-weight: 600;">-</span><span class="n" style="color: #333;">lamb</span></span>
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<pre style="margin: 0;">+<span id="LC265" class="line" lang="python"></span>
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266
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<pre style="margin: 0;"> <span id="LC266" class="line" lang="python"> <span class="n" style="color: #333;">numer</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">U2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span><span class="p">)</span></span>
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267
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<pre style="margin: 0;"> <span id="LC267" class="line" lang="python"> <span class="n" style="color: #333;">denom</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">U1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">U2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">U1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">U2</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">lamb</span><span class="p">)</span></span>
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268
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<pre style="margin: 0;"> <span id="LC268" class="line" lang="python"> <span class="n" style="color: #333;">a12</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atan2</span><span class="p">(</span><span class="n" style="color: #333;">numer</span><span class="p">,</span> <span class="n" style="color: #333;">denom</span><span class="p">)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -221,12 +270,15 @@ def vdist_point(</td>
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270
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<pre style="margin: 0;"> <span id="LC270" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC271" class="line" lang="python"> <span class="n" style="color: #333;">az</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">a12</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC272" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC224" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">dist_m</span><span class="p">,</span> <span class="n" style="color: #333;">az</span></span>
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273
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<pre style="margin: 0;">+<span id="LC273" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC274" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">dist_m</span><span class="p">.</span><span class="n" style="color: #333;">squeeze</span><span class="p">()[()],</span> <span class="n" style="color: #333;">az</span><span class="p">.</span><span class="n" style="color: #333;">squeeze</span><span class="p">()[()]</span></span>
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<pre style="margin: 0;">+<span id="LC275" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">AttributeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC276" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">dist_m</span><span class="p">,</span> <span class="n" style="color: #333;">az</span></span>
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277
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<pre style="margin: 0;"> <span id="LC277" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC278" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC279" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">vreckon</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC228" class="line" lang="python"> <span class="n" style="color: #333;">Lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">Lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p"><span class="idiff left">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">Rng</span></span><span class="p"><span class="idiff">:</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">Azim</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;">-<span id="LC229" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;">+<span id="LC280" class="line" lang="python"> <span class="n" style="color: #333;">Lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="idiff left"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">Lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="idiff"> </span><span class="o" style="font-weight: 600;"><span class="idiff">|</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">Rng</span></span><span class="p"><span class="idiff">:</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">Azim</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;">+<span id="LC281" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p"><span class="idiff">,</span></span><span class="idiff"> </span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]:</span></span>
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<pre style="margin: 0;"> <span id="LC282" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC283" class="line" lang="python"><span class="s" style="color: #d14;"> This is the Vincenty "forward" solution.</span></span>
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<pre style="margin: 0;"> <span id="LC284" class="line" lang="python"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -283,20 +335,21 @@ def vreckon(</td>
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<pre style="margin: 0;"> <span id="LC335" class="line" lang="python"><span class="s" style="color: #d14;"> Added ellipsoid and vectorized whenever possible. Also, lon2 is always converted to the [-180 180] interval.</span></span>
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<pre style="margin: 0;"> <span id="LC336" class="line" lang="python"><span class="s" style="color: #d14;"> Joaquim Luis</span></span>
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<pre style="margin: 0;"> <span id="LC337" class="line" lang="python"><span class="s" style="color: #d14;"> """</span></span>
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<pre style="margin: 0;">-<span id="LC286" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">vectorize</span> <span class="ow" style="font-weight: 600;">is</span> <span class="ow" style="font-weight: 600;">not</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC287" class="line" lang="python"> <span class="n" style="color: #333;">fun</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">vectorize</span><span class="p">(</span><span class="n" style="color: #333;">vreckon_point</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC288" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">fun</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">,</span> <span class="n" style="color: #333;">Lon1</span><span class="p">,</span> <span class="n" style="color: #333;">Rng</span><span class="p">,</span> <span class="n" style="color: #333;">Azim</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC289" class="line" lang="python"> <span class="k" style="font-weight: 600;">else</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC290" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">vreckon_point</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">,</span> <span class="n" style="color: #333;">Lon1</span><span class="p">,</span> <span class="n" style="color: #333;">Rng</span><span class="p">,</span> <span class="n" style="color: #333;">Azim</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC338" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC292" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC293" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">vreckon_point</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC294" class="line" lang="python"> <span class="n" style="color: #333;">Lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">Lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">Rng</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">Azim</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span></span>
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<pre style="margin: 0;">-<span id="LC295" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">float</span><span class="p">,</span> <span class="nb" style="color: #0086b3;">float</span><span class="p">]:</span></span>
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296
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<pre style="margin: 0;">-<span id="LC296" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">90</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC297" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Input lat. must be between -90 and 90 deg., inclusive."</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC298" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">Rng</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC299" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Ground distance must be positive"</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC339" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC340" class="line" lang="python"> <span class="n" style="color: #333;">Lat1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC341" class="line" lang="python"> <span class="n" style="color: #333;">Lon1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">Lon1</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC342" class="line" lang="python"> <span class="n" style="color: #333;">Rng</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">Rng</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC343" class="line" lang="python"> <span class="n" style="color: #333;">Azim</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atleast_1d</span><span class="p">(</span><span class="n" style="color: #333;">Azim</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC344" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">90</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">():</span></span>
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<pre style="margin: 0;">+<span id="LC345" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Input lat. must be between -90 and 90 deg., inclusive."</span><span class="p">)</span></span>
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346
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<pre style="margin: 0;">+<span id="LC346" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="p">(</span><span class="n" style="color: #333;">Rng</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">():</span></span>
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<pre style="margin: 0;">+<span id="LC347" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Ground distance must be positive"</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC348" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">NameError</span><span class="p">:</span></span>
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349
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<pre style="margin: 0;">+<span id="LC349" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">Lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mi" style="color: #099;">90</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC350" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Input lat. must be between -90 and 90 deg., inclusive."</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC351" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">Rng</span> <span class="o" style="font-weight: 600;"><</span> <span class="mi" style="color: #099;">0</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC352" class="line" lang="python"> <span class="k" style="font-weight: 600;">raise</span> <span class="nb" style="color: #0086b3;">ValueError</span><span class="p">(</span><span class="s" style="color: #d14;">"Ground distance must be positive"</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC353" class="line" lang="python"></span>
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301
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354
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<pre style="margin: 0;"> <span id="LC354" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">ell</span> <span class="ow" style="font-weight: 600;">is</span> <span class="ow" style="font-weight: 600;">not</span> <span class="bp" style="color: #999;">None</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC355" class="line" lang="python"> <span class="n" style="color: #333;">a</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">ell</span><span class="p">.</span><span class="n" style="color: #333;">semimajor_axis</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -311,8 +364,12 @@ def vreckon_point(</td>
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<pre style="margin: 0;"> <span id="LC364" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">Lon1</span><span class="p">)</span> <span class="c1" style="color: #998; font-style: italic;"># intial longitude in radians</span></span>
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<pre style="margin: 0;"> <span id="LC365" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC366" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># correct for errors at exact poles by adjusting 0.6 millimeters:</span></span>
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<pre style="margin: 0;">-<span id="LC314" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">:</span></span>
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<pre style="margin: 0;">-<span id="LC315" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="p">(</span><span class="mf" style="color: #099;">1e-10</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC367" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC368" class="line" lang="python"> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-10</span></span>
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<pre style="margin: 0;">+<span id="LC369" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">[</span><span class="n" style="color: #333;">i</span><span class="p">]</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">[</span><span class="n" style="color: #333;">i</span><span class="p">])</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="p">(</span><span class="mf" style="color: #099;">1e-10</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC370" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">TypeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC371" class="line" lang="python"> <span class="k" style="font-weight: 600;">if</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">))</span> <span class="o" style="font-weight: 600;"><</span> <span class="mf" style="color: #099;">1e-10</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC372" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sign</span><span class="p">(</span><span class="n" style="color: #333;">lat1</span><span class="p">)</span> <span class="o" style="font-weight: 600;">*</span> <span class="p">(</span><span class="n" style="color: #333;">pi</span> <span class="o" style="font-weight: 600;">/</span> <span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">-</span> <span class="p">(</span><span class="mf" style="color: #099;">1e-10</span><span class="p">))</span></span>
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<pre style="margin: 0;"> <span id="LC373" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC374" class="line" lang="python"> <span class="n" style="color: #333;">alpha1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">radians</span><span class="p">(</span><span class="n" style="color: #333;">Azim</span><span class="p">)</span> <span class="c1" style="color: #998; font-style: italic;"># inital azimuth in radians</span></span>
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<pre style="margin: 0;"> <span id="LC375" class="line" lang="python"> <span class="n" style="color: #333;">sinAlpha1</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">alpha1</span><span class="p">)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -334,7 +391,13 @@ def vreckon_point(</td>
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<pre style="margin: 0;"> <span id="LC391" class="line" lang="python"> <span class="n" style="color: #333;">sinSigma</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">nan</span></span>
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<pre style="margin: 0;"> <span id="LC392" class="line" lang="python"> <span class="n" style="color: #333;">cosSigma</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">nan</span></span>
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<pre style="margin: 0;"> <span id="LC393" class="line" lang="python"> <span class="n" style="color: #333;">cos2SigmaM</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">nan</span></span>
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<pre style="margin: 0;">-<span id="LC337" class="line" lang="python"> <span class="k" style="font-weight: 600;">while</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">sigma</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">sigmaP</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mf" style="color: #099;">1e-12</span><span class="p">:</span></span>
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394
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<pre style="margin: 0;">+<span id="LC394" class="line" lang="python"></span>
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395
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<pre style="margin: 0;">+<span id="LC395" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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396
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<pre style="margin: 0;">+<span id="LC396" class="line" lang="python"> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">sigma</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">sigmaP</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mf" style="color: #099;">1e-12</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">()</span></span>
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397
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<pre style="margin: 0;">+<span id="LC397" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">AttributeError</span><span class="p">:</span></span>
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398
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<pre style="margin: 0;">+<span id="LC398" class="line" lang="python"> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">sigma</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">sigmaP</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mf" style="color: #099;">1e-12</span></span>
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399
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<pre style="margin: 0;">+<span id="LC399" class="line" lang="python"></span>
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400
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<pre style="margin: 0;">+<span id="LC400" class="line" lang="python"> <span class="k" style="font-weight: 600;">while</span> <span class="n" style="color: #333;">i</span><span class="p">:</span></span>
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338
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401
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<pre style="margin: 0;"> <span id="LC401" class="line" lang="python"> <span class="n" style="color: #333;">cos2SigmaM</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="mi" style="color: #099;">2</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sigma1</span> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">sigma</span><span class="p">)</span></span>
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339
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402
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<pre style="margin: 0;"> <span id="LC402" class="line" lang="python"> <span class="n" style="color: #333;">sinSigma</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sin</span><span class="p">(</span><span class="n" style="color: #333;">sigma</span><span class="p">)</span></span>
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403
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<pre style="margin: 0;"> <span id="LC403" class="line" lang="python"> <span class="n" style="color: #333;">cosSigma</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">cos</span><span class="p">(</span><span class="n" style="color: #333;">sigma</span><span class="p">)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -357,6 +420,10 @@ def vreckon_point(</td>
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420
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<pre style="margin: 0;"> <span id="LC420" class="line" lang="python"> <span class="p">)</span></span>
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358
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421
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<pre style="margin: 0;"> <span id="LC421" class="line" lang="python"> <span class="n" style="color: #333;">sigmaP</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sigma</span></span>
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359
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422
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<pre style="margin: 0;"> <span id="LC422" class="line" lang="python"> <span class="n" style="color: #333;">sigma</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">Rng</span> <span class="o" style="font-weight: 600;">/</span> <span class="p">(</span><span class="n" style="color: #333;">b</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">A</span><span class="p">)</span> <span class="o" style="font-weight: 600;">+</span> <span class="n" style="color: #333;">deltaSigma</span></span>
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423
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<pre style="margin: 0;">+<span id="LC423" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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424
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<pre style="margin: 0;">+<span id="LC424" class="line" lang="python"> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">sigma</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">sigmaP</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mf" style="color: #099;">1e-12</span><span class="p">).</span><span class="nb" style="color: #0086b3;">any</span><span class="p">()</span></span>
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425
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<pre style="margin: 0;">+<span id="LC425" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">AttributeError</span><span class="p">:</span></span>
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426
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<pre style="margin: 0;">+<span id="LC426" class="line" lang="python"> <span class="n" style="color: #333;">i</span> <span class="o" style="font-weight: 600;">=</span> <span class="nb" style="color: #0086b3;">abs</span><span class="p">(</span><span class="n" style="color: #333;">sigma</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">sigmaP</span><span class="p">)</span> <span class="o" style="font-weight: 600;">></span> <span class="mf" style="color: #099;">1e-12</span></span>
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360
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427
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<pre style="margin: 0;"> <span id="LC427" class="line" lang="python"></span>
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361
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428
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<pre style="margin: 0;"> <span id="LC428" class="line" lang="python"> <span class="n" style="color: #333;">tmp</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">sinU1</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">sinSigma</span> <span class="o" style="font-weight: 600;">-</span> <span class="n" style="color: #333;">cosU1</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">cosSigma</span> <span class="o" style="font-weight: 600;">*</span> <span class="n" style="color: #333;">cosAlpha1</span></span>
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362
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429
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<pre style="margin: 0;"> <span id="LC429" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">atan2</span><span class="p">(</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -383,18 +450,21 @@ def vreckon_point(</td>
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<pre style="margin: 0;"> <span id="LC450" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC451" class="line" lang="python"> <span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lon2</span> <span class="o" style="font-weight: 600;">%</span> <span class="mi" style="color: #099;">360</span> <span class="c1" style="color: #998; font-style: italic;"># follow [0, 360) convention</span></span>
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<pre style="margin: 0;"> <span id="LC452" class="line" lang="python"></span>
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<pre style="margin: 0;">-<span id="LC386" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">),</span> <span class="n" style="color: #333;">lon2</span></span>
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<pre style="margin: 0;">+<span id="LC453" class="line" lang="python"> <span class="k" style="font-weight: 600;">try</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC454" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">).</span><span class="n" style="color: #333;">squeeze</span><span class="p">()[()],</span> <span class="n" style="color: #333;">lon2</span><span class="p">.</span><span class="n" style="color: #333;">squeeze</span><span class="p">()[()]</span></span>
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<pre style="margin: 0;">+<span id="LC455" class="line" lang="python"> <span class="k" style="font-weight: 600;">except</span> <span class="nb" style="color: #0086b3;">AttributeError</span><span class="p">:</span></span>
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<pre style="margin: 0;">+<span id="LC456" class="line" lang="python"> <span class="k" style="font-weight: 600;">return</span> <span class="n" style="color: #333;">degrees</span><span class="p">(</span><span class="n" style="color: #333;">lat2</span><span class="p">),</span> <span class="n" style="color: #333;">lon2</span></span>
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<pre style="margin: 0;"> <span id="LC457" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC458" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC459" class="line" lang="python"><span class="k" style="font-weight: 600;">def</span> <span class="nf" style="color: #900; font-weight: 600;">track2</span><span class="p">(</span></span>
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<pre style="margin: 0;">-<span id="LC390" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC391" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC392" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC393" class="line" lang="python"> <span class="n" style="color: #333;">lon2</span><span class="p">:</span> <span class="nb" style="color: #0086b3;"><span class="idiff left right">float</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC460" class="line" lang="python"> <span class="n" style="color: #333;">lat1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC461" class="line" lang="python"> <span class="n" style="color: #333;">lon1</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC462" class="line" lang="python"> <span class="n" style="color: #333;">lat2</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;">+<span id="LC463" class="line" lang="python"> <span class="n" style="color: #333;">lon2</span><span class="p">:</span> <span class="n" style="color: #333;"><span class="idiff left right">ndarray</span></span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC464" class="line" lang="python"> <span class="n" style="color: #333;">ell</span><span class="p">:</span> <span class="n" style="color: #333;">Ellipsoid</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">None</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC465" class="line" lang="python"> <span class="n" style="color: #333;">npts</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">int</span> <span class="o" style="font-weight: 600;">=</span> <span class="mi" style="color: #099;">100</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC466" class="line" lang="python"> <span class="n" style="color: #333;">deg</span><span class="p">:</span> <span class="nb" style="color: #0086b3;">bool</span> <span class="o" style="font-weight: 600;">=</span> <span class="bp" style="color: #999;">True</span><span class="p">,</span></span>
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<pre style="margin: 0;">-<span id="LC397" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">list</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff left">float</span></span><span class="p">],</span> <span class="nb" style="color: #0086b3;">list</span><span class="p">[</span><span class="nb" style="color: #0086b3;"><span class="idiff right">float</span></span><span class="p">]]:</span></span>
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<pre style="margin: 0;">+<span id="LC467" class="line" lang="python"><span class="p">)</span> <span class="o" style="font-weight: 600;">-></span> <span class="nb" style="color: #0086b3;">tuple</span><span class="p">[</span><span class="nb" style="color: #0086b3;">list</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff left">ndarray</span></span><span class="p">],</span> <span class="nb" style="color: #0086b3;">list</span><span class="p">[</span><span class="n" style="color: #333;"><span class="idiff right">ndarray</span></span><span class="p">]]:</span></span>
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<pre style="margin: 0;"> <span id="LC468" class="line" lang="python"> <span class="s" style="color: #d14;">"""</span></span>
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<pre style="margin: 0;"> <span id="LC469" class="line" lang="python"><span class="s" style="color: #d14;"> computes great circle tracks starting at the point lat1, lon1 and ending at lat2, lon2</span></span>
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<pre style="margin: 0;"> <span id="LC470" class="line" lang="python"></span>
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