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cyschneck committed Oct 1, 2024
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109 changes: 104 additions & 5 deletions _preview/1/_sources/notebooks/tutorials/polygon_area.ipynb
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Expand Up @@ -1170,9 +1170,7 @@ <h3>United States Map<a class="headerlink" href="#united-states-map" title="Link
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<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/home/runner/miniconda3/envs/cookbook-dev/lib/python3.10/site-packages/cartopy/io/__init__.py:241: DownloadWarning: Downloading: https://naturalearth.s3.amazonaws.com/50m_cultural/ne_50m_admin_0_boundary_lines_land.zip
warnings.warn(f&#39;Downloading: {url}&#39;, DownloadWarning)
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<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/home/runner/miniconda3/envs/cookbook-dev/lib/python3.10/site-packages/cartopy/io/__init__.py:241: DownloadWarning: Downloading: https://naturalearth.s3.amazonaws.com/50m_cultural/ne_50m_admin_1_states_provinces_lakes.zip
/home/runner/miniconda3/envs/cookbook-dev/lib/python3.10/site-packages/cartopy/io/__init__.py:241: DownloadWarning: Downloading: https://naturalearth.s3.amazonaws.com/50m_cultural/ne_50m_admin_1_states_provinces_lakes.zip
warnings.warn(f&#39;Downloading: {url}&#39;, DownloadWarning)
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Expand Up @@ -527,8 +527,8 @@ <h5>of further and further<a class="headerlink" href="#of-further-and-further" t
<section id="header-levels">
<h6>header levels<a class="headerlink" href="#header-levels" title="Link to this heading"><i class="fas fa-link"></i></a></h6>
<p>as well <span class="math notranslate nohighlight">\(m = a * t / h\)</span> text! Similarly, you have access to other <span class="math notranslate nohighlight">\(\LaTeX\)</span> equation <a class="reference external" href="https://jupyter-notebook.readthedocs.io/en/stable/examples/Notebook/Typesetting%20Equations.html"><strong>functionality</strong></a> via MathJax (demo below from link),</p>
<div class="amsmath math notranslate nohighlight" id="equation-24439fdc-cf07-4efb-b1f3-8248771ddb1e">
<span class="eqno">()<a class="headerlink" href="#equation-24439fdc-cf07-4efb-b1f3-8248771ddb1e" title="Permalink to this equation"><i class="fas fa-link"></i></a></span>\[\begin{align}
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\dot{x} &amp; = \sigma(y-x) \\
\dot{y} &amp; = \rho x - y - xz \\
\dot{z} &amp; = -\beta z + xy
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Expand Up @@ -424,7 +424,7 @@ <h2>Overview<a class="headerlink" href="#overview" title="Link to this heading">
<li><p>Determine clockwise/counterclockwise ordering of points on spherical polygon</p></li>
<li><p>Area and Permieter of quadrilateral patch on a unit sphere</p></li>
<li><p>Determine if a given point is within a spherical polygon</p></li>
<li><p>Mean center of spherical polygon (TODO)</p></li>
<li><p>Center of spherical polygon</p></li>
</ol>
</section>
<section id="prerequisites">
Expand Down Expand Up @@ -903,6 +903,83 @@ <h2>Determine if a given point is within a spherical polygon<a class="headerlink
</div>
</div>
</section>
<section id="center-of-spherical-polygon">
<h2>Center of spherical polygon<a class="headerlink" href="#center-of-spherical-polygon" title="Link to this heading"><i class="fas fa-link"></i></a></h2>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">polygon_centroid</span><span class="p">(</span><span class="n">polygon_pts</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="n">longitudes</span> <span class="o">=</span> <span class="p">[</span><span class="n">location_df</span><span class="o">.</span><span class="n">loc</span><span class="p">[[</span><span class="n">x</span><span class="p">]][</span><span class="s2">&quot;longitude&quot;</span><span class="p">]</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">polygon_pts</span><span class="p">]</span>
<span class="n">latitudes</span> <span class="o">=</span> <span class="p">[</span><span class="n">location_df</span><span class="o">.</span><span class="n">loc</span><span class="p">[[</span><span class="n">x</span><span class="p">]][</span><span class="s2">&quot;latitude&quot;</span><span class="p">]</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">polygon_pts</span><span class="p">]</span>
<span class="n">lat_lon_coords</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">longitudes</span><span class="p">,</span> <span class="n">latitudes</span><span class="p">))</span>
<span class="n">polygon</span> <span class="o">=</span> <span class="n">Polygon</span><span class="p">(</span><span class="n">lat_lon_coords</span><span class="p">)</span>
<span class="k">return</span> <span class="p">(</span><span class="n">polygon</span><span class="o">.</span><span class="n">centroid</span><span class="o">.</span><span class="n">y</span><span class="p">,</span> <span class="n">polygon</span><span class="o">.</span><span class="n">centroid</span><span class="o">.</span><span class="n">x</span><span class="p">)</span>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">polygon_centroid</span><span class="p">([</span><span class="s2">&quot;boulder&quot;</span><span class="p">,</span> <span class="s2">&quot;boston&quot;</span><span class="p">,</span> <span class="s2">&quot;houston&quot;</span><span class="p">])</span>
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<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>(37.30896666666666, -90.47586666666665)
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">plot_centroid</span><span class="p">(</span><span class="n">polygon_pts</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span>
<span class="n">lon_west</span><span class="o">=-</span><span class="mi">180</span><span class="p">,</span> <span class="n">lon_east</span><span class="o">=</span><span class="mi">180</span><span class="p">,</span>
<span class="n">lat_south</span><span class="o">=-</span><span class="mi">90</span><span class="p">,</span> <span class="n">lat_north</span><span class="o">=</span><span class="mi">90</span><span class="p">):</span>
<span class="c1"># Set up world map plot</span>
<span class="n">fig</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">subplots</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">15</span><span class="p">,</span> <span class="mi">10</span><span class="p">))</span>
<span class="n">projection_map</span> <span class="o">=</span> <span class="n">ccrs</span><span class="o">.</span><span class="n">PlateCarree</span><span class="p">()</span>
<span class="n">ax</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">axes</span><span class="p">(</span><span class="n">projection</span><span class="o">=</span><span class="n">projection_map</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_extent</span><span class="p">([</span><span class="n">lon_west</span><span class="p">,</span> <span class="n">lon_east</span><span class="p">,</span> <span class="n">lat_south</span><span class="p">,</span> <span class="n">lat_north</span><span class="p">],</span> <span class="n">crs</span><span class="o">=</span><span class="n">projection_map</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">coastlines</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s2">&quot;black&quot;</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">add_feature</span><span class="p">(</span><span class="n">cfeature</span><span class="o">.</span><span class="n">STATES</span><span class="p">,</span> <span class="n">edgecolor</span><span class="o">=</span><span class="s2">&quot;black&quot;</span><span class="p">)</span>

<span class="c1"># plot polygon points</span>
<span class="n">longitudes</span> <span class="o">=</span> <span class="p">[</span><span class="n">location_df</span><span class="o">.</span><span class="n">loc</span><span class="p">[[</span><span class="n">x</span><span class="p">]][</span><span class="s2">&quot;longitude&quot;</span><span class="p">]</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">polygon_pts</span><span class="p">]</span> <span class="c1"># longitude</span>
<span class="n">latitudes</span> <span class="o">=</span> <span class="p">[</span><span class="n">location_df</span><span class="o">.</span><span class="n">loc</span><span class="p">[[</span><span class="n">x</span><span class="p">]][</span><span class="s2">&quot;latitude&quot;</span><span class="p">]</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">polygon_pts</span><span class="p">]</span> <span class="c1"># latitude</span>
<span class="n">plt</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">longitudes</span><span class="p">,</span> <span class="n">latitudes</span><span class="p">,</span> <span class="n">s</span><span class="o">=</span><span class="mi">50</span><span class="p">,</span> <span class="n">c</span><span class="o">=</span><span class="s2">&quot;blue&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">fill</span><span class="p">(</span><span class="n">longitudes</span><span class="p">,</span> <span class="n">latitudes</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">0.5</span><span class="p">)</span>

<span class="c1"># plot check point</span>
<span class="n">centeroid</span> <span class="o">=</span> <span class="n">polygon_centroid</span><span class="p">(</span><span class="n">polygon_pts</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">centeroid</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">centeroid</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">s</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">c</span><span class="o">=</span><span class="s2">&quot;red&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;Centeroid = </span><span class="si">{</span><span class="n">centeroid</span><span class="si">}</span><span class="s2">&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">plot_centroid</span><span class="p">([</span><span class="s2">&quot;boulder&quot;</span><span class="p">,</span> <span class="s2">&quot;boston&quot;</span><span class="p">,</span> <span class="s2">&quot;houston&quot;</span><span class="p">],</span>
<span class="o">-</span><span class="mi">130</span><span class="p">,</span> <span class="o">-</span><span class="mi">60</span><span class="p">,</span> <span class="mi">20</span><span class="p">,</span> <span class="mi">60</span><span class="p">)</span>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">plot_centroid</span><span class="p">([</span><span class="s2">&quot;boulder&quot;</span><span class="p">,</span> <span class="s2">&quot;boston&quot;</span><span class="p">,</span> <span class="s2">&quot;cape canaveral&quot;</span><span class="p">,</span> <span class="s2">&quot;houston&quot;</span><span class="p">],</span>
<span class="o">-</span><span class="mi">130</span><span class="p">,</span> <span class="o">-</span><span class="mi">60</span><span class="p">,</span> <span class="mi">20</span><span class="p">,</span> <span class="mi">60</span><span class="p">)</span>
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<section id="summary">
<h2>Summary<a class="headerlink" href="#summary" title="Link to this heading"><i class="fas fa-link"></i></a></h2>
Expand Down Expand Up @@ -985,6 +1062,7 @@ <h2>Resources and references<a class="headerlink" href="#resources-and-reference
</ul>
</li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#determine-if-a-given-point-is-within-a-spherical-polygon">Determine if a given point is within a spherical polygon</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#center-of-spherical-polygon">Center of spherical polygon</a></li>
<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#summary">Summary</a><ul class="nav section-nav flex-column">
<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#whats-next">What’s next?</a></li>
</ul>
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