mirror of
https://github.com/aljazceru/twentyone-world.github.io.git
synced 2025-12-20 03:14:19 +01:00
1015 lines
113 KiB
HTML
1015 lines
113 KiB
HTML
<!DOCTYPE html>
|
|
<html>
|
|
<head>
|
|
<meta http-equiv="content-type" content="text/html;charset=utf-8">
|
|
<title>pseudocylindrical.py</title>
|
|
<link rel="stylesheet" href="../pycco.css">
|
|
</head>
|
|
<body>
|
|
<div id="background"></div>
|
|
<div id='container'>
|
|
<div class='section'>
|
|
<div class='docs'><h1>pseudocylindrical.py</h1></div>
|
|
</div>
|
|
<div class='clearall'>
|
|
<div class='section' id='section-0'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-0'>#</a>
|
|
</div>
|
|
<pre><code>kartograph - a svg mapping library
|
|
Copyright (C) 2011 Gregor Aisch
|
|
|
|
This program is free software: you can redistribute it and/or modify
|
|
it under the terms of the GNU Affero General Public License as
|
|
published by the Free Software Foundation, either version 3 of the
|
|
License, or (at your option) any later version.
|
|
|
|
This program is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU Affero General Public License for more details.
|
|
|
|
You should have received a copy of the GNU Affero General Public License
|
|
along with this program. If not, see <http://www.gnu.org/licenses/>.
|
|
</code></pre>
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="kn">from</span> <span class="nn">cylindrical</span> <span class="kn">import</span> <span class="n">Cylindrical</span>
|
|
<span class="kn">import</span> <span class="nn">math</span>
|
|
<span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">radians</span> <span class="k">as</span> <span class="n">rad</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-1'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-1'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">PseudoCylindrical</span><span class="p">(</span><span class="n">Cylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-2'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-2'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">Cylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-3'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-3'>#</a>
|
|
</div>
|
|
<p>src: http://www.shadedrelief.com/NE_proj/</p>
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">NaturalEarth</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-4'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-4'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lat0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
<span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">pi</span>
|
|
<span class="n">s</span> <span class="o">=</span> <span class="bp">self</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">A0</span> <span class="o">=</span> <span class="mf">0.8707</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">A1</span> <span class="o">=</span> <span class="o">-</span><span class="mf">0.131979</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">A2</span> <span class="o">=</span> <span class="o">-</span><span class="mf">0.013791</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">A3</span> <span class="o">=</span> <span class="mf">0.003971</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">A4</span> <span class="o">=</span> <span class="o">-</span><span class="mf">0.001529</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">B0</span> <span class="o">=</span> <span class="mf">1.007226</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">B1</span> <span class="o">=</span> <span class="mf">0.015085</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">B2</span> <span class="o">=</span> <span class="o">-</span><span class="mf">0.044475</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">B3</span> <span class="o">=</span> <span class="mf">0.028874</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">B4</span> <span class="o">=</span> <span class="o">-</span><span class="mf">0.005916</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">C0</span> <span class="o">=</span> <span class="n">s</span><span class="o">.</span><span class="n">B0</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">C1</span> <span class="o">=</span> <span class="mi">3</span> <span class="o">*</span> <span class="n">s</span><span class="o">.</span><span class="n">B1</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">C2</span> <span class="o">=</span> <span class="mi">7</span> <span class="o">*</span> <span class="n">s</span><span class="o">.</span><span class="n">B2</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">C3</span> <span class="o">=</span> <span class="mi">9</span> <span class="o">*</span> <span class="n">s</span><span class="o">.</span><span class="n">B3</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">C4</span> <span class="o">=</span> <span class="mi">11</span> <span class="o">*</span> <span class="n">s</span><span class="o">.</span><span class="n">B4</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">EPS</span> <span class="o">=</span> <span class="mf">1e-11</span>
|
|
<span class="n">s</span><span class="o">.</span><span class="n">MAX_Y</span> <span class="o">=</span> <span class="mf">0.8707</span> <span class="o">*</span> <span class="mf">0.52</span> <span class="o">*</span> <span class="n">pi</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-5'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-5'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="n">lon</span><span class="p">,</span> <span class="n">lat</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">lplam</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lon</span><span class="p">)</span>
|
|
<span class="n">lpphi</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat</span> <span class="o">*</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span>
|
|
<span class="n">phi2</span> <span class="o">=</span> <span class="n">lpphi</span> <span class="o">*</span> <span class="n">lpphi</span>
|
|
<span class="n">phi4</span> <span class="o">=</span> <span class="n">phi2</span> <span class="o">*</span> <span class="n">phi2</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="n">lplam</span> <span class="o">*</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">A0</span> <span class="o">+</span> <span class="n">phi2</span> <span class="o">*</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">A1</span> <span class="o">+</span> <span class="n">phi2</span> <span class="o">*</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">A2</span> <span class="o">+</span> <span class="n">phi4</span> <span class="o">*</span> <span class="n">phi2</span> <span class="o">*</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">A3</span> <span class="o">+</span> <span class="n">phi2</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">A4</span><span class="p">))))</span> <span class="o">*</span> <span class="mi">180</span> <span class="o">+</span> <span class="mi">500</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="n">lpphi</span> <span class="o">*</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">B0</span> <span class="o">+</span> <span class="n">phi2</span> <span class="o">*</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">B1</span> <span class="o">+</span> <span class="n">phi4</span> <span class="o">*</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">B2</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">B3</span> <span class="o">*</span> <span class="n">phi2</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">B4</span> <span class="o">*</span> <span class="n">phi4</span><span class="p">)))</span> <span class="o">*</span> <span class="mi">180</span> <span class="o">+</span> <span class="mi">270</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-6'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-6'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">Robinson</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-7'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-7'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lat0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">X</span> <span class="o">=</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.67239e-12</span><span class="p">,</span> <span class="o">-</span><span class="mf">7.15511e-05</span><span class="p">,</span> <span class="mf">3.11028e-06</span><span class="p">,</span> <span class="mf">0.9986</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.000482241</span><span class="p">,</span> <span class="o">-</span><span class="mf">2.4897e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.33094e-06</span><span class="p">,</span> <span class="mf">0.9954</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.000831031</span><span class="p">,</span> <span class="o">-</span><span class="mf">4.4861e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">9.86588e-07</span><span class="p">,</span> <span class="mf">0.99</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00135363</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.96598e-05</span><span class="p">,</span> <span class="mf">3.67749e-06</span><span class="p">,</span> <span class="mf">0.9822</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00167442</span><span class="p">,</span> <span class="o">-</span><span class="mf">4.4975e-06</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.72394e-06</span><span class="p">,</span> <span class="mf">0.973</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00214869</span><span class="p">,</span> <span class="o">-</span><span class="mf">9.03565e-05</span><span class="p">,</span> <span class="mf">1.88767e-08</span><span class="p">,</span> <span class="mf">0.96</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00305084</span><span class="p">,</span> <span class="o">-</span><span class="mf">9.00732e-05</span><span class="p">,</span> <span class="mf">1.64869e-06</span><span class="p">,</span> <span class="mf">0.9427</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00382792</span><span class="p">,</span> <span class="o">-</span><span class="mf">6.53428e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">2.61493e-06</span><span class="p">,</span> <span class="mf">0.9216</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00467747</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.000104566</span><span class="p">,</span> <span class="mf">4.8122e-06</span><span class="p">,</span> <span class="mf">0.8962</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00536222</span><span class="p">,</span> <span class="o">-</span><span class="mf">3.23834e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.43445e-06</span><span class="p">,</span> <span class="mf">0.8679</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00609364</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.0001139</span><span class="p">,</span> <span class="mf">3.32521e-06</span><span class="p">,</span> <span class="mf">0.835</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00698325</span><span class="p">,</span> <span class="o">-</span><span class="mf">6.40219e-05</span><span class="p">,</span> <span class="mf">9.34582e-07</span><span class="p">,</span> <span class="mf">0.7986</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00755337</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.00038e-05</span><span class="p">,</span> <span class="mf">9.35532e-07</span><span class="p">,</span> <span class="mf">0.7597</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00798325</span><span class="p">,</span> <span class="o">-</span><span class="mf">3.59716e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">2.27604e-06</span><span class="p">,</span> <span class="mf">0.7186</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00851366</span><span class="p">,</span> <span class="o">-</span><span class="mf">7.0112e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">8.63072e-06</span><span class="p">,</span> <span class="mf">0.6732</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00986209</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.000199572</span><span class="p">,</span> <span class="mf">1.91978e-05</span><span class="p">,</span> <span class="mf">0.6213</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.010418</span><span class="p">,</span> <span class="mf">8.83948e-05</span><span class="p">,</span> <span class="mf">6.24031e-06</span><span class="p">,</span> <span class="mf">0.5722</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.00906601</span><span class="p">,</span> <span class="mf">0.000181999</span><span class="p">,</span> <span class="mf">6.24033e-06</span><span class="p">,</span> <span class="mf">0.5322</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">]</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">Y</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mf">0.0124</span><span class="p">,</span> <span class="mf">3.72529e-10</span><span class="p">,</span> <span class="mf">1.15484e-09</span><span class="p">,</span> <span class="mf">0.062</span><span class="p">,</span> <span class="mf">0.0124001</span><span class="p">,</span> <span class="mf">1.76951e-08</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.92321e-09</span><span class="p">,</span> <span class="mf">0.124</span><span class="p">,</span> <span class="mf">0.0123998</span><span class="p">,</span> <span class="o">-</span><span class="mf">7.09668e-08</span><span class="p">,</span> <span class="mf">2.25753e-08</span><span class="p">,</span> <span class="mf">0.186</span><span class="p">,</span> <span class="mf">0.0124008</span><span class="p">,</span> <span class="mf">2.66917e-07</span><span class="p">,</span> <span class="o">-</span><span class="mf">8.44523e-08</span><span class="p">,</span> <span class="mf">0.248</span><span class="p">,</span> <span class="mf">0.0123971</span><span class="p">,</span> <span class="o">-</span><span class="mf">9.99682e-07</span><span class="p">,</span> <span class="mf">3.15569e-07</span><span class="p">,</span> <span class="mf">0.31</span><span class="p">,</span> <span class="mf">0.0124108</span><span class="p">,</span> <span class="mf">3.73349e-06</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.1779e-06</span><span class="p">,</span> <span class="mf">0.372</span><span class="p">,</span> <span class="mf">0.0123598</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.3935e-05</span><span class="p">,</span> <span class="mf">4.39588e-06</span><span class="p">,</span> <span class="mf">0.434</span><span class="p">,</span> <span class="mf">0.0125501</span><span class="p">,</span> <span class="mf">5.20034e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.00051e-05</span><span class="p">,</span> <span class="mf">0.4968</span><span class="p">,</span> <span class="mf">0.0123198</span><span class="p">,</span> <span class="o">-</span><span class="mf">9.80735e-05</span><span class="p">,</span> <span class="mf">9.22397e-06</span><span class="p">,</span> <span class="mf">0.5571</span><span class="p">,</span> <span class="mf">0.0120308</span><span class="p">,</span> <span class="mf">4.02857e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.2901e-06</span><span class="p">,</span> <span class="mf">0.6176</span><span class="p">,</span> <span class="mf">0.0120369</span><span class="p">,</span> <span class="o">-</span><span class="mf">3.90662e-05</span><span class="p">,</span> <span class="mf">7.36117e-07</span><span class="p">,</span> <span class="mf">0.6769</span><span class="p">,</span> <span class="mf">0.0117015</span><span class="p">,</span> <span class="o">-</span><span class="mf">2.80246e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">8.54283e-07</span><span class="p">,</span> <span class="mf">0.7346</span><span class="p">,</span> <span class="mf">0.0113572</span><span class="p">,</span> <span class="o">-</span><span class="mf">4.08389e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.18524e-07</span><span class="p">,</span> <span class="mf">0.7903</span><span class="p">,</span> <span class="mf">0.0109099</span><span class="p">,</span> <span class="o">-</span><span class="mf">4.86169e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.0718e-06</span><span class="p">,</span> <span class="mf">0.8435</span><span class="p">,</span> <span class="mf">0.0103433</span><span class="p">,</span> <span class="o">-</span><span class="mf">6.46934e-05</span><span class="p">,</span> <span class="mf">5.36384e-09</span><span class="p">,</span> <span class="mf">0.8936</span><span class="p">,</span> <span class="mf">0.00969679</span><span class="p">,</span> <span class="o">-</span><span class="mf">6.46129e-05</span><span class="p">,</span> <span class="o">-</span><span class="mf">8.54894e-06</span><span class="p">,</span> <span class="mf">0.9394</span><span class="p">,</span> <span class="mf">0.00840949</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.000192847</span><span class="p">,</span> <span class="o">-</span><span class="mf">4.21023e-06</span><span class="p">,</span> <span class="mf">0.9761</span><span class="p">,</span> <span class="mf">0.00616525</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.000256001</span><span class="p">,</span> <span class="o">-</span><span class="mf">4.21021e-06</span><span class="p">,</span> <span class="mf">1.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">NODES</span> <span class="o">=</span> <span class="mi">18</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">FXC</span> <span class="o">=</span> <span class="mf">0.8487</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">FYC</span> <span class="o">=</span> <span class="mf">1.3523</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">C1</span> <span class="o">=</span> <span class="mf">11.45915590261646417544</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">RC1</span> <span class="o">=</span> <span class="mf">0.08726646259971647884</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">ONEEPS</span> <span class="o">=</span> <span class="mf">1.000001</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">EPS</span> <span class="o">=</span> <span class="mf">1e-8</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-8'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-8'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">_poly</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">arr</span><span class="p">,</span> <span class="n">off</span><span class="p">,</span> <span class="n">z</span><span class="p">):</span>
|
|
<span class="k">return</span> <span class="n">arr</span><span class="p">[</span><span class="n">off</span><span class="p">]</span> <span class="o">+</span> <span class="n">z</span> <span class="o">*</span> <span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">off</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">z</span> <span class="o">*</span> <span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">off</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]</span> <span class="o">+</span> <span class="n">z</span> <span class="o">*</span> <span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">off</span> <span class="o">+</span> <span class="mi">3</span><span class="p">])))</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-9'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-9'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="n">lon</span><span class="p">,</span> <span class="n">lat</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">lplam</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lon</span><span class="p">)</span>
|
|
<span class="n">lpphi</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat</span> <span class="o">*</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span>
|
|
|
|
<span class="n">phi</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">lpphi</span><span class="p">)</span>
|
|
<span class="n">i</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="n">phi</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">C1</span><span class="p">)</span>
|
|
<span class="k">if</span> <span class="n">i</span> <span class="o">>=</span> <span class="bp">self</span><span class="o">.</span><span class="n">NODES</span><span class="p">:</span>
|
|
<span class="n">i</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">NODES</span> <span class="o">-</span> <span class="mi">1</span>
|
|
<span class="n">phi</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">degrees</span><span class="p">(</span><span class="n">phi</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">RC1</span> <span class="o">*</span> <span class="n">i</span><span class="p">)</span>
|
|
<span class="n">i</span> <span class="o">*=</span> <span class="mi">4</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="mi">1000</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">_poly</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">X</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">phi</span><span class="p">)</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">FXC</span> <span class="o">*</span> <span class="n">lplam</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="mi">1000</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">_poly</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">Y</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">phi</span><span class="p">)</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">FYC</span>
|
|
<span class="k">if</span> <span class="n">lpphi</span> <span class="o"><</span> <span class="mf">0.0</span><span class="p">:</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="o">-</span><span class="n">y</span>
|
|
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-10'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-10'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">EckertIV</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-11'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-11'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">lat0</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">C_x</span> <span class="o">=</span> <span class="o">.</span><span class="mi">42223820031577120149</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">C_y</span> <span class="o">=</span> <span class="mf">1.32650042817700232218</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">RC_y</span> <span class="o">=</span> <span class="o">.</span><span class="mi">75386330736002178205</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">C_p</span> <span class="o">=</span> <span class="mf">3.57079632679489661922</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">RC_p</span> <span class="o">=</span> <span class="o">.</span><span class="mi">28004957675577868795</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">EPS</span> <span class="o">=</span> <span class="mf">1e-7</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">NITER</span> <span class="o">=</span> <span class="mi">6</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-12'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-12'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="n">lon</span><span class="p">,</span> <span class="n">lat</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">lplam</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lon</span><span class="p">)</span>
|
|
<span class="n">lpphi</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat</span> <span class="o">*</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span>
|
|
|
|
<span class="n">p</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">C_p</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">lpphi</span><span class="p">)</span>
|
|
<span class="n">V</span> <span class="o">=</span> <span class="n">lpphi</span> <span class="o">*</span> <span class="n">lpphi</span>
|
|
<span class="n">lpphi</span> <span class="o">*=</span> <span class="mf">0.895168</span> <span class="o">+</span> <span class="n">V</span> <span class="o">*</span> <span class="p">(</span><span class="mf">0.0218849</span> <span class="o">+</span> <span class="n">V</span> <span class="o">*</span> <span class="mf">0.00826809</span><span class="p">)</span>
|
|
|
|
<span class="n">i</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">NITER</span>
|
|
<span class="k">while</span> <span class="n">i</span> <span class="o">></span> <span class="mi">0</span><span class="p">:</span>
|
|
<span class="n">c</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">lpphi</span><span class="p">)</span>
|
|
<span class="n">s</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">lpphi</span><span class="p">)</span>
|
|
<span class="n">V</span> <span class="o">=</span> <span class="p">(</span><span class="n">lpphi</span> <span class="o">+</span> <span class="n">s</span> <span class="o">*</span> <span class="p">(</span><span class="n">c</span> <span class="o">+</span> <span class="mf">2.</span><span class="p">)</span> <span class="o">-</span> <span class="n">p</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="mf">1.</span> <span class="o">+</span> <span class="n">c</span> <span class="o">*</span> <span class="p">(</span><span class="n">c</span> <span class="o">+</span> <span class="mf">2.</span><span class="p">)</span> <span class="o">-</span> <span class="n">s</span> <span class="o">*</span> <span class="n">s</span><span class="p">)</span>
|
|
<span class="n">lpphi</span> <span class="o">-=</span> <span class="n">V</span>
|
|
<span class="k">if</span> <span class="nb">abs</span><span class="p">(</span><span class="n">V</span><span class="p">)</span> <span class="o"><</span> <span class="bp">self</span><span class="o">.</span><span class="n">EPS</span><span class="p">:</span>
|
|
<span class="k">break</span>
|
|
<span class="n">i</span> <span class="o">-=</span> <span class="mi">1</span>
|
|
|
|
<span class="k">if</span> <span class="n">i</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">C_x</span> <span class="o">*</span> <span class="n">lplam</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">C_y</span><span class="p">,</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">C_y</span><span class="p">)[</span><span class="n">lpphi</span> <span class="o"><</span> <span class="mi">0</span><span class="p">]</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">C_x</span> <span class="o">*</span> <span class="n">lplam</span> <span class="o">*</span> <span class="p">(</span><span class="mf">1.</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">lpphi</span><span class="p">))</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">C_y</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">lpphi</span><span class="p">)</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-13'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-13'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">Sinusoidal</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-14'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-14'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">lat0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-15'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-15'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="n">lon</span><span class="p">,</span> <span class="n">lat</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">lam</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lon</span><span class="p">)</span>
|
|
<span class="n">phi</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat</span> <span class="o">*</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="mi">1032</span> <span class="o">*</span> <span class="n">lam</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="mi">1032</span> <span class="o">*</span> <span class="n">phi</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-16'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-16'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">Mollweide</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-17'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-17'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">p</span><span class="o">=</span><span class="mf">1.5707963267948966</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">lat0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">cx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">cy</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">cp</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">MAX_ITER</span> <span class="o">=</span> <span class="mi">10</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">TOLERANCE</span> <span class="o">=</span> <span class="mf">1e-7</span>
|
|
|
|
<span class="k">if</span> <span class="n">p</span> <span class="o">!=</span> <span class="bp">None</span><span class="p">:</span>
|
|
<span class="n">p2</span> <span class="o">=</span> <span class="n">p</span> <span class="o">+</span> <span class="n">p</span>
|
|
<span class="n">sp</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">p</span><span class="p">)</span>
|
|
<span class="n">r</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">pi</span> <span class="o">*</span> <span class="mf">2.0</span> <span class="o">*</span> <span class="n">sp</span> <span class="o">/</span> <span class="p">(</span><span class="n">p2</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">p2</span><span class="p">)))</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">cx</span> <span class="o">=</span> <span class="mf">2.</span> <span class="o">*</span> <span class="n">r</span> <span class="o">/</span> <span class="n">math</span><span class="o">.</span><span class="n">pi</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">cy</span> <span class="o">=</span> <span class="n">r</span> <span class="o">/</span> <span class="n">sp</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">cp</span> <span class="o">=</span> <span class="n">p2</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">p2</span><span class="p">)</span>
|
|
<span class="k">elif</span> <span class="n">cx</span> <span class="o">!=</span> <span class="bp">None</span> <span class="ow">and</span> <span class="n">cy</span> <span class="o">!=</span> <span class="bp">None</span> <span class="ow">and</span> <span class="n">cp</span> <span class="o">!=</span> <span class="bp">None</span><span class="p">:</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">cx</span> <span class="o">=</span> <span class="n">cx</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">cy</span> <span class="o">=</span> <span class="n">cy</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">cp</span> <span class="o">=</span> <span class="n">cp</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="k">assert</span> <span class="bp">False</span><span class="p">,</span> <span class="s">'either p or cx,cy,cp must be defined'</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-18'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-18'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="n">lon</span><span class="p">,</span> <span class="n">lat</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">lam</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lon</span><span class="p">)</span>
|
|
<span class="n">phi</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat</span><span class="p">)</span>
|
|
|
|
<span class="n">k</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">cp</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span>
|
|
<span class="n">i</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">MAX_ITER</span>
|
|
|
|
<span class="k">while</span> <span class="n">i</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">:</span>
|
|
<span class="n">v</span> <span class="o">=</span> <span class="p">(</span><span class="n">phi</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span> <span class="o">-</span> <span class="n">k</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="mf">1.</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">phi</span><span class="p">))</span>
|
|
<span class="n">phi</span> <span class="o">-=</span> <span class="n">v</span>
|
|
<span class="k">if</span> <span class="nb">abs</span><span class="p">(</span><span class="n">v</span><span class="p">)</span> <span class="o"><</span> <span class="bp">self</span><span class="o">.</span><span class="n">TOLERANCE</span><span class="p">:</span>
|
|
<span class="k">break</span>
|
|
<span class="n">i</span> <span class="o">-=</span> <span class="mi">1</span>
|
|
|
|
<span class="k">if</span> <span class="n">i</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
|
|
<span class="n">phi</span> <span class="o">=</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">HALFPI</span><span class="p">,</span> <span class="o">-</span><span class="bp">self</span><span class="o">.</span><span class="n">HALFPI</span><span class="p">)[</span><span class="n">phi</span> <span class="o"><</span> <span class="mi">0</span><span class="p">]</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="n">phi</span> <span class="o">*=</span> <span class="mf">0.5</span>
|
|
|
|
<span class="n">x</span> <span class="o">=</span> <span class="mi">1000</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">cx</span> <span class="o">*</span> <span class="n">lam</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="mi">1000</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">cy</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">*</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-19'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-19'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">GoodeHomolosine</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-20'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-20'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">lat1</span> <span class="o">=</span> <span class="mf">41.737</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">p1</span> <span class="o">=</span> <span class="n">Mollweide</span><span class="p">()</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">p0</span> <span class="o">=</span> <span class="n">Sinusoidal</span><span class="p">()</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-21'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-21'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="n">lon</span><span class="p">,</span> <span class="n">lat</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-22'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-22'>#</a>
|
|
</div>
|
|
<p>lon = me.clon(lon)</p>
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">if</span> <span class="nb">abs</span><span class="p">(</span><span class="n">lat</span><span class="p">)</span> <span class="o">></span> <span class="bp">self</span><span class="o">.</span><span class="n">lat1</span><span class="p">:</span>
|
|
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">p1</span><span class="o">.</span><span class="n">project</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">p0</span><span class="o">.</span><span class="n">project</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-23'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-23'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">WagnerIV</span><span class="p">(</span><span class="n">Mollweide</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-24'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-24'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">lat0</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-25'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-25'>#</a>
|
|
</div>
|
|
<p>p=math.pi/3</p>
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="n">Mollweide</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">p</span><span class="o">=</span><span class="mf">1.0471975511965976</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-26'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-26'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">WagnerV</span><span class="p">(</span><span class="n">Mollweide</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-27'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-27'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lat0</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">Mollweide</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">cx</span><span class="o">=</span><span class="mf">0.90977</span><span class="p">,</span> <span class="n">cy</span><span class="o">=</span><span class="mf">1.65014</span><span class="p">,</span> <span class="n">cp</span><span class="o">=</span><span class="mf">3.00896</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-28'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-28'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">Loximuthal</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span>
|
|
|
|
<span class="n">minLat</span> <span class="o">=</span> <span class="o">-</span><span class="mi">89</span>
|
|
<span class="n">maxLat</span> <span class="o">=</span> <span class="mi">89</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-29'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-29'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">lat0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
<span class="k">if</span> <span class="n">flip</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
|
|
<span class="n">lat0</span> <span class="o">=</span> <span class="o">-</span><span class="n">lat0</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">lat0</span> <span class="o">=</span> <span class="n">lat0</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">phi0</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat0</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-30'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-30'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="n">lon</span><span class="p">,</span> <span class="n">lat</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">lam</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lon</span><span class="p">)</span>
|
|
<span class="n">phi</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat</span><span class="p">)</span>
|
|
<span class="k">if</span> <span class="n">phi</span> <span class="o">==</span> <span class="bp">self</span><span class="o">.</span><span class="n">phi0</span><span class="p">:</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="n">lam</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">phi0</span><span class="p">)</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="k">try</span><span class="p">:</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="n">lam</span> <span class="o">*</span> <span class="p">(</span><span class="n">phi</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">phi0</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">tan</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">QUARTERPI</span> <span class="o">+</span> <span class="n">phi</span> <span class="o">*</span> <span class="mf">0.5</span><span class="p">))</span> <span class="o">-</span> <span class="n">math</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">tan</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">QUARTERPI</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">phi0</span> <span class="o">*</span> <span class="mf">0.5</span><span class="p">)))</span>
|
|
<span class="k">except</span><span class="p">:</span>
|
|
<span class="k">return</span> <span class="bp">None</span>
|
|
<span class="n">x</span> <span class="o">*=</span> <span class="mi">1000</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="mi">1000</span> <span class="o">*</span> <span class="p">(</span><span class="n">phi</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">phi0</span><span class="p">)</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">*</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-31'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-31'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">attrs</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
|
|
<span class="n">p</span> <span class="o">=</span> <span class="nb">super</span><span class="p">(</span><span class="n">Loximuthal</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span><span class="o">.</span><span class="n">attrs</span><span class="p">()</span>
|
|
<span class="n">p</span><span class="p">[</span><span class="s">'lat0'</span><span class="p">]</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">lat0</span>
|
|
<span class="k">return</span> <span class="n">p</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-32'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-32'>#</a>
|
|
</div>
|
|
<p>Canters, F. (2002) Small-scale Map projection Design. p. 218-219.
|
|
Modified Sinusoidal, equal-area.</p>
|
|
<p>implementation borrowed from
|
|
http://cartography.oregonstate.edu/temp/AdaptiveProjection/src/projections/Canters1.js</p>
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="nd">@staticmethod</span>
|
|
<span class="k">def</span> <span class="nf">attributes</span><span class="p">():</span>
|
|
<span class="k">return</span> <span class="p">[</span><span class="s">'lon0'</span><span class="p">,</span> <span class="s">'lat0'</span><span class="p">,</span> <span class="s">'flip'</span><span class="p">]</span>
|
|
|
|
|
|
<span class="k">class</span> <span class="nc">CantersModifiedSinusoidalI</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-33'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-33'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-34'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-34'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">C1</span> <span class="o">=</span> <span class="mf">1.1966</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">C3</span> <span class="o">=</span> <span class="o">-</span><span class="mf">0.1290</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">C3x3</span> <span class="o">=</span> <span class="mi">3</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">C3</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">C5</span> <span class="o">=</span> <span class="o">-</span><span class="mf">0.0076</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">C5x5</span> <span class="o">=</span> <span class="mi">5</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">C5</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-35'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-35'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="n">me</span> <span class="o">=</span> <span class="bp">self</span>
|
|
<span class="n">lon</span><span class="p">,</span> <span class="n">lat</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
|
|
<span class="n">lon</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lon</span><span class="p">)</span>
|
|
<span class="n">lat</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat</span><span class="p">)</span>
|
|
|
|
<span class="n">y2</span> <span class="o">=</span> <span class="n">lat</span> <span class="o">*</span> <span class="n">lat</span>
|
|
<span class="n">y4</span> <span class="o">=</span> <span class="n">y2</span> <span class="o">*</span> <span class="n">y2</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="mi">1000</span> <span class="o">*</span> <span class="n">lon</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">lat</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">me</span><span class="o">.</span><span class="n">C1</span> <span class="o">+</span> <span class="n">me</span><span class="o">.</span><span class="n">C3x3</span> <span class="o">*</span> <span class="n">y2</span> <span class="o">+</span> <span class="n">me</span><span class="o">.</span><span class="n">C5x5</span> <span class="o">*</span> <span class="n">y4</span><span class="p">)</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="mi">1000</span> <span class="o">*</span> <span class="n">lat</span> <span class="o">*</span> <span class="p">(</span><span class="n">me</span><span class="o">.</span><span class="n">C1</span> <span class="o">+</span> <span class="n">me</span><span class="o">.</span><span class="n">C3</span> <span class="o">*</span> <span class="n">y2</span> <span class="o">+</span> <span class="n">me</span><span class="o">.</span><span class="n">C5</span> <span class="o">*</span> <span class="n">y4</span><span class="p">)</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">*</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-36'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-36'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">Hatano</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-37'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-37'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="n">me</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="n">me</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">NITER</span> <span class="o">=</span> <span class="mi">20</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">EPS</span> <span class="o">=</span> <span class="mf">1e-7</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">ONETOL</span> <span class="o">=</span> <span class="mf">1.000001</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">CN</span> <span class="o">=</span> <span class="mf">2.67595</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">CS</span> <span class="o">=</span> <span class="mf">2.43763</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">RCN</span> <span class="o">=</span> <span class="mf">0.37369906014686373063</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">RCS</span> <span class="o">=</span> <span class="mf">0.41023453108141924738</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">FYCN</span> <span class="o">=</span> <span class="mf">1.75859</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">FYCS</span> <span class="o">=</span> <span class="mf">1.93052</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">RYCN</span> <span class="o">=</span> <span class="mf">0.56863737426006061674</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">RYCS</span> <span class="o">=</span> <span class="mf">0.51799515156538134803</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">FXC</span> <span class="o">=</span> <span class="mf">0.85</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">RXC</span> <span class="o">=</span> <span class="mf">1.17647058823529411764</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-38'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-38'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="n">me</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="p">[</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">]</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">lam</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lon</span><span class="p">)</span>
|
|
<span class="n">phi</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">c</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">me</span><span class="o">.</span><span class="n">CN</span><span class="p">,</span> <span class="n">me</span><span class="o">.</span><span class="n">CS</span><span class="p">)[</span><span class="n">phi</span> <span class="o"><</span> <span class="mf">0.0</span><span class="p">]</span>
|
|
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">me</span><span class="o">.</span><span class="n">NITER</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">):</span>
|
|
<span class="n">th1</span> <span class="o">=</span> <span class="p">(</span><span class="n">phi</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span> <span class="o">-</span> <span class="n">c</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="mf">1.0</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">phi</span><span class="p">))</span>
|
|
<span class="n">phi</span> <span class="o">-=</span> <span class="n">th1</span>
|
|
<span class="k">if</span> <span class="nb">abs</span><span class="p">(</span><span class="n">th1</span><span class="p">)</span> <span class="o"><</span> <span class="n">me</span><span class="o">.</span><span class="n">EPS</span><span class="p">:</span>
|
|
<span class="k">break</span>
|
|
<span class="n">phi</span> <span class="o">*=</span> <span class="mf">0.5</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="mi">1000</span> <span class="o">*</span> <span class="n">me</span><span class="o">.</span><span class="n">FXC</span> <span class="o">*</span> <span class="n">lam</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="mi">1000</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">me</span><span class="o">.</span><span class="n">FYCN</span><span class="p">,</span> <span class="n">me</span><span class="o">.</span><span class="n">FYCS</span><span class="p">)[</span><span class="n">phi</span> <span class="o"><</span> <span class="mf">0.0</span><span class="p">]</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">*</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-39'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-39'>#</a>
|
|
</div>
|
|
<p>Aitoff projection</p>
|
|
<p>implementation taken from
|
|
Snyder, Map projections - A working manual</p>
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">Aitoff</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-40'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-40'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">winkel</span> <span class="o">=</span> <span class="bp">False</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">COSPHI1</span> <span class="o">=</span> <span class="mf">0.636619772367581343</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-41'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-41'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="n">me</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="p">[</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">]</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">lam</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lon</span><span class="p">)</span>
|
|
<span class="n">phi</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">c</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">lam</span>
|
|
<span class="n">d</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">acos</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">c</span><span class="p">))</span>
|
|
<span class="k">if</span> <span class="n">d</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">:</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="mf">1.0</span> <span class="o">/</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">d</span><span class="p">)</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="mf">2.0</span> <span class="o">*</span> <span class="n">d</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">c</span><span class="p">)</span> <span class="o">*</span> <span class="n">y</span>
|
|
<span class="n">y</span> <span class="o">*=</span> <span class="n">d</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="n">y</span> <span class="o">=</span> <span class="mi">0</span>
|
|
<span class="k">if</span> <span class="n">me</span><span class="o">.</span><span class="n">winkel</span><span class="p">:</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="p">(</span><span class="n">x</span> <span class="o">+</span> <span class="n">lam</span> <span class="o">*</span> <span class="n">me</span><span class="o">.</span><span class="n">COSPHI1</span><span class="p">)</span> <span class="o">*</span> <span class="mf">0.5</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="p">(</span><span class="n">y</span> <span class="o">+</span> <span class="n">phi</span><span class="p">)</span> <span class="o">*</span> <span class="mf">0.5</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x</span> <span class="o">*</span> <span class="mi">1000</span><span class="p">,</span> <span class="n">y</span> <span class="o">*</span> <span class="o">-</span><span class="mi">1000</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-42'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-42'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">Winkel3</span><span class="p">(</span><span class="n">Aitoff</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-43'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-43'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">Aitoff</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">winkel</span> <span class="o">=</span> <span class="bp">True</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-44'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-44'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre><span class="k">class</span> <span class="nc">Nicolosi</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-45'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-45'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="n">me</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="mi">0</span><span class="p">):</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">EPS</span> <span class="o">=</span> <span class="mf">1e-10</span>
|
|
<span class="n">PseudoCylindrical</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="n">me</span><span class="p">,</span> <span class="n">lon0</span><span class="o">=</span><span class="n">lon0</span><span class="p">,</span> <span class="n">flip</span><span class="o">=</span><span class="n">flip</span><span class="p">)</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">r</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">HALFPI</span> <span class="o">*</span> <span class="mi">100</span>
|
|
<span class="n">sea</span> <span class="o">=</span> <span class="p">[]</span>
|
|
<span class="n">r</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">r</span>
|
|
<span class="k">for</span> <span class="n">phi</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">361</span><span class="p">):</span>
|
|
<span class="n">sea</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">rad</span><span class="p">(</span><span class="n">phi</span><span class="p">))</span> <span class="o">*</span> <span class="n">r</span><span class="p">,</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">rad</span><span class="p">(</span><span class="n">phi</span><span class="p">))</span> <span class="o">*</span> <span class="n">r</span><span class="p">))</span>
|
|
<span class="n">me</span><span class="o">.</span><span class="n">sea</span> <span class="o">=</span> <span class="n">sea</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-46'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-46'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">_clon</span><span class="p">(</span><span class="n">me</span><span class="p">,</span> <span class="n">lon</span><span class="p">):</span>
|
|
<span class="n">lon</span> <span class="o">-=</span> <span class="n">me</span><span class="o">.</span><span class="n">lon0</span>
|
|
<span class="k">if</span> <span class="n">lon</span> <span class="o"><</span> <span class="o">-</span><span class="mi">180</span><span class="p">:</span>
|
|
<span class="n">lon</span> <span class="o">+=</span> <span class="mi">360</span>
|
|
<span class="k">elif</span> <span class="n">lon</span> <span class="o">></span> <span class="mi">180</span><span class="p">:</span>
|
|
<span class="n">lon</span> <span class="o">-=</span> <span class="mi">360</span>
|
|
<span class="k">return</span> <span class="n">lon</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-47'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-47'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">_visible</span><span class="p">(</span><span class="n">me</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-48'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-48'>#</a>
|
|
</div>
|
|
<p>lon = me._clon(lon)</p>
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">return</span> <span class="n">lon</span> <span class="o">></span> <span class="o">-</span><span class="mi">90</span> <span class="ow">and</span> <span class="n">lon</span> <span class="o"><</span> <span class="mi">90</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-49'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-49'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">_truncate</span><span class="p">(</span><span class="n">me</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">):</span>
|
|
<span class="n">theta</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">atan2</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">x</span><span class="p">)</span>
|
|
<span class="n">x1</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">r</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">theta</span><span class="p">)</span>
|
|
<span class="n">y1</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">r</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">theta</span><span class="p">)</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x1</span><span class="p">,</span> <span class="n">y1</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-50'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-50'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">world_bounds</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">bbox</span><span class="p">,</span> <span class="n">llbbox</span><span class="o">=</span><span class="p">(</span><span class="o">-</span><span class="mi">180</span><span class="p">,</span> <span class="o">-</span><span class="mi">90</span><span class="p">,</span> <span class="mi">180</span><span class="p">,</span> <span class="mi">90</span><span class="p">)):</span>
|
|
<span class="k">if</span> <span class="n">llbbox</span> <span class="o">==</span> <span class="p">(</span><span class="o">-</span><span class="mi">180</span><span class="p">,</span> <span class="o">-</span><span class="mi">90</span><span class="p">,</span> <span class="mi">180</span><span class="p">,</span> <span class="mi">90</span><span class="p">):</span>
|
|
<span class="n">d</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">r</span> <span class="o">*</span> <span class="mi">2</span>
|
|
<span class="n">bbox</span><span class="o">.</span><span class="n">update</span><span class="p">((</span><span class="o">-</span><span class="n">d</span><span class="p">,</span> <span class="o">-</span><span class="n">d</span><span class="p">))</span>
|
|
<span class="n">bbox</span><span class="o">.</span><span class="n">update</span><span class="p">((</span><span class="n">d</span><span class="p">,</span> <span class="n">d</span><span class="p">))</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="n">bbox</span> <span class="o">=</span> <span class="nb">super</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span><span class="o">.</span><span class="n">world_bounds</span><span class="p">(</span><span class="n">bbox</span><span class="p">,</span> <span class="n">llbbox</span><span class="p">)</span>
|
|
<span class="k">return</span> <span class="n">bbox</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-51'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-51'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">sea_shape</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">llbbox</span><span class="o">=</span><span class="p">(</span><span class="o">-</span><span class="mi">180</span><span class="p">,</span> <span class="o">-</span><span class="mi">90</span><span class="p">,</span> <span class="mi">180</span><span class="p">,</span> <span class="mi">90</span><span class="p">)):</span>
|
|
<span class="n">out</span> <span class="o">=</span> <span class="p">[]</span>
|
|
<span class="k">if</span> <span class="n">llbbox</span> <span class="o">==</span> <span class="p">(</span><span class="o">-</span><span class="mi">180</span><span class="p">,</span> <span class="o">-</span><span class="mi">90</span><span class="p">,</span> <span class="mi">180</span><span class="p">,</span> <span class="mi">90</span><span class="p">)</span> <span class="ow">or</span> <span class="n">llbbox</span> <span class="o">==</span> <span class="p">[</span><span class="o">-</span><span class="mi">180</span><span class="p">,</span> <span class="o">-</span><span class="mi">90</span><span class="p">,</span> <span class="mi">180</span><span class="p">,</span> <span class="mi">90</span><span class="p">]:</span>
|
|
<span class="k">for</span> <span class="n">phi</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">360</span><span class="p">):</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">radians</span><span class="p">(</span><span class="n">phi</span><span class="p">))</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">r</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">radians</span><span class="p">(</span><span class="n">phi</span><span class="p">))</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">r</span>
|
|
<span class="n">out</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">))</span>
|
|
<span class="n">out</span> <span class="o">=</span> <span class="p">[</span><span class="n">out</span><span class="p">]</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="n">out</span> <span class="o">=</span> <span class="nb">super</span><span class="p">(</span><span class="n">PseudoCylindrical</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span><span class="o">.</span><span class="n">sea_shape</span><span class="p">(</span><span class="n">llbbox</span><span class="p">)</span>
|
|
<span class="k">return</span> <span class="n">out</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-52'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-52'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">project</span><span class="p">(</span><span class="n">me</span><span class="p">,</span> <span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">):</span>
|
|
<span class="p">[</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">]</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">ll</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="n">lam</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lon</span><span class="p">)</span>
|
|
<span class="n">phi</span> <span class="o">=</span> <span class="n">rad</span><span class="p">(</span><span class="n">lat</span><span class="p">)</span>
|
|
|
|
<span class="k">if</span> <span class="nb">abs</span><span class="p">(</span><span class="n">lam</span><span class="p">)</span> <span class="o"><</span> <span class="n">me</span><span class="o">.</span><span class="n">EPS</span><span class="p">:</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="mi">0</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="n">phi</span>
|
|
<span class="k">elif</span> <span class="nb">abs</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span> <span class="o"><</span> <span class="n">me</span><span class="o">.</span><span class="n">EPS</span><span class="p">:</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="n">lam</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="mi">0</span>
|
|
<span class="k">elif</span> <span class="nb">abs</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">lam</span><span class="p">)</span> <span class="o">-</span> <span class="n">me</span><span class="o">.</span><span class="n">HALFPI</span><span class="p">)</span> <span class="o"><</span> <span class="n">me</span><span class="o">.</span><span class="n">EPS</span><span class="p">:</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="n">lam</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">HALFPI</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span>
|
|
<span class="k">elif</span> <span class="nb">abs</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span> <span class="o">-</span> <span class="n">me</span><span class="o">.</span><span class="n">HALFPI</span><span class="p">)</span> <span class="o"><</span> <span class="n">me</span><span class="o">.</span><span class="n">EPS</span><span class="p">:</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="mi">0</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="n">phi</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="n">tb</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">HALFPI</span> <span class="o">/</span> <span class="n">lam</span> <span class="o">-</span> <span class="n">lam</span> <span class="o">/</span> <span class="n">me</span><span class="o">.</span><span class="n">HALFPI</span>
|
|
<span class="n">c</span> <span class="o">=</span> <span class="n">phi</span> <span class="o">/</span> <span class="n">me</span><span class="o">.</span><span class="n">HALFPI</span>
|
|
<span class="n">sp</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span>
|
|
<span class="n">d</span> <span class="o">=</span> <span class="p">(</span><span class="mi">1</span> <span class="o">-</span> <span class="n">c</span> <span class="o">*</span> <span class="n">c</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">sp</span> <span class="o">-</span> <span class="n">c</span><span class="p">)</span>
|
|
<span class="n">r2</span> <span class="o">=</span> <span class="n">tb</span> <span class="o">/</span> <span class="n">d</span>
|
|
<span class="n">r2</span> <span class="o">*=</span> <span class="n">r2</span>
|
|
<span class="n">m</span> <span class="o">=</span> <span class="p">(</span><span class="n">tb</span> <span class="o">*</span> <span class="n">sp</span> <span class="o">/</span> <span class="n">d</span> <span class="o">-</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">tb</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="mf">1.0</span> <span class="o">+</span> <span class="n">r2</span><span class="p">)</span>
|
|
<span class="n">n</span> <span class="o">=</span> <span class="p">(</span><span class="n">sp</span> <span class="o">/</span> <span class="n">r2</span> <span class="o">+</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">d</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="mf">1.0</span> <span class="o">+</span> <span class="mf">1.0</span> <span class="o">/</span> <span class="n">r2</span><span class="p">)</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">phi</span><span class="p">)</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">m</span> <span class="o">*</span> <span class="n">m</span> <span class="o">+</span> <span class="n">x</span> <span class="o">*</span> <span class="n">x</span> <span class="o">/</span> <span class="p">(</span><span class="mf">1.0</span> <span class="o">+</span> <span class="n">r2</span><span class="p">))</span>
|
|
<span class="n">x</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">HALFPI</span> <span class="o">*</span> <span class="p">(</span><span class="n">m</span> <span class="o">+</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="o">-</span><span class="n">x</span><span class="p">)[</span><span class="n">lam</span> <span class="o"><</span> <span class="mi">0</span><span class="p">])</span>
|
|
<span class="n">f</span> <span class="o">=</span> <span class="n">n</span> <span class="o">*</span> <span class="n">n</span> <span class="o">-</span> <span class="p">(</span><span class="n">sp</span> <span class="o">*</span> <span class="n">sp</span> <span class="o">/</span> <span class="n">r2</span> <span class="o">+</span> <span class="n">d</span> <span class="o">*</span> <span class="n">sp</span> <span class="o">-</span> <span class="mf">1.0</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="mf">1.0</span> <span class="o">+</span> <span class="mf">1.0</span> <span class="o">/</span> <span class="n">r2</span><span class="p">)</span>
|
|
<span class="k">if</span> <span class="n">f</span> <span class="o"><</span> <span class="mi">0</span><span class="p">:</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="n">phi</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">f</span><span class="p">)</span>
|
|
<span class="n">y</span> <span class="o">=</span> <span class="n">me</span><span class="o">.</span><span class="n">HALFPI</span> <span class="o">*</span> <span class="p">(</span><span class="n">n</span> <span class="o">+</span> <span class="p">(</span><span class="o">-</span><span class="n">y</span><span class="p">,</span> <span class="n">y</span><span class="p">)[</span><span class="n">phi</span> <span class="o"><</span> <span class="mi">0</span><span class="p">])</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">x</span> <span class="o">*</span> <span class="mi">100</span><span class="p">,</span> <span class="n">y</span> <span class="o">*</span> <span class="o">-</span><span class="mi">100</span><span class="p">)</span></pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
<div class='section' id='section-53'>
|
|
<div class='docs'>
|
|
<div class='octowrap'>
|
|
<a class='octothorpe' href='#section-53'>#</a>
|
|
</div>
|
|
|
|
</div>
|
|
<div class='code'>
|
|
<div class="highlight"><pre> <span class="k">def</span> <span class="nf">plot</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">polygon</span><span class="p">,</span> <span class="n">truncate</span><span class="o">=</span><span class="bp">True</span><span class="p">):</span>
|
|
<span class="n">polygons</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_shift_polygon</span><span class="p">(</span><span class="n">polygon</span><span class="p">)</span>
|
|
<span class="n">plotted</span> <span class="o">=</span> <span class="p">[]</span>
|
|
<span class="k">for</span> <span class="n">polygon</span> <span class="ow">in</span> <span class="n">polygons</span><span class="p">:</span>
|
|
<span class="n">points</span> <span class="o">=</span> <span class="p">[]</span>
|
|
<span class="n">ignore</span> <span class="o">=</span> <span class="bp">True</span>
|
|
<span class="k">for</span> <span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span> <span class="ow">in</span> <span class="n">polygon</span><span class="p">:</span>
|
|
<span class="n">vis</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_visible</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="k">if</span> <span class="n">vis</span><span class="p">:</span>
|
|
<span class="n">ignore</span> <span class="o">=</span> <span class="bp">False</span>
|
|
<span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">project</span><span class="p">(</span><span class="n">lon</span><span class="p">,</span> <span class="n">lat</span><span class="p">)</span>
|
|
<span class="k">if</span> <span class="ow">not</span> <span class="n">vis</span> <span class="ow">and</span> <span class="n">truncate</span><span class="p">:</span>
|
|
<span class="n">points</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_truncate</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">))</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="n">points</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">))</span>
|
|
<span class="k">if</span> <span class="n">ignore</span><span class="p">:</span>
|
|
<span class="k">continue</span>
|
|
<span class="n">plotted</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">points</span><span class="p">)</span>
|
|
<span class="k">return</span> <span class="n">plotted</span>
|
|
|
|
</pre></div>
|
|
</div>
|
|
</div>
|
|
<div class='clearall'></div>
|
|
</div>
|
|
</body>
|