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<a href="SmootLight-module.html">Package SmootLight</a> ::
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Module Geo
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<h1 class="epydoc">Source Code for <a href="SmootLight.util.Geo-module.html">Module SmootLight.util.Geo</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno"> 1</tt> <tt class="py-line"><tt class="py-comment">#Geometry code</tt> </tt>
<a name="L2"></a><tt class="py-lineno"> 2</tt> <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">math</tt> </tt>
<a name="L3"></a><tt class="py-lineno"> 3</tt> <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">bisect</tt> <tt class="py-keyword">import</tt> <tt class="py-op">*</tt> </tt>
<a name="L4"></a><tt class="py-lineno"> 4</tt> <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">random</tt> </tt>
<a name="pointWithinBoundingBox"></a><div id="pointWithinBoundingBox-def"><a name="L5"></a><tt class="py-lineno"> 5</tt> <a class="py-toggle" href="#" id="pointWithinBoundingBox-toggle" onclick="return toggle('pointWithinBoundingBox');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="SmootLight.util.Geo-module.html#pointWithinBoundingBox">pointWithinBoundingBox</a><tt class="py-op">(</tt><tt class="py-param">point</tt><tt class="py-op">,</tt> <tt class="py-param">bb</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><a name="L6"></a><tt class="py-lineno"> 6</tt> <tt class="py-line"> <tt class="py-docstring">"""Returns whether or not a point (x,y) is within a bounding box (xmin, ymin, xmax, ymax)"""</tt> </tt>
<a name="L7"></a><tt class="py-lineno"> 7</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">all</tt><tt class="py-op">(</tt><tt class="py-op">[</tt><tt class="py-op">(</tt><tt class="py-name">point</tt><tt class="py-op">[</tt><tt class="py-name">i</tt> <tt class="py-op">%</tt> <tt class="py-number">2</tt><tt class="py-op">]</tt> <tt class="py-op"><=</tt> <tt class="py-name">bb</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-op">(</tt><tt class="py-name">i</tt><tt class="py-op">></tt><tt class="py-number">1</tt><tt class="py-op">)</tt> <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-number">4</tt><tt class="py-op">)</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
</div><a name="L8"></a><tt class="py-lineno"> 8</tt> <tt class="py-line"> </tt>
<a name="addLocations"></a><div id="addLocations-def"><a name="L9"></a><tt class="py-lineno"> 9</tt> <a class="py-toggle" href="#" id="addLocations-toggle" onclick="return toggle('addLocations');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="SmootLight.util.Geo-module.html#addLocations">addLocations</a><tt class="py-op">(</tt><tt class="py-param">l1</tt><tt class="py-op">,</tt><tt class="py-param">l2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="addLocations-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="addLocations-expanded"><a name="L10"></a><tt class="py-lineno">10</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt class="py-op">[</tt><tt class="py-name">l1</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt class="py-name">l2</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt> <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">l1</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
</div><a name="L11"></a><tt class="py-lineno">11</tt> <tt class="py-line"> </tt>
<a name="gaussian"></a><div id="gaussian-def"><a name="L12"></a><tt class="py-lineno">12</tt> <a class="py-toggle" href="#" id="gaussian-toggle" onclick="return toggle('gaussian');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="SmootLight.util.Geo-module.html#gaussian">gaussian</a><tt class="py-op">(</tt><tt class="py-param">x</tt><tt class="py-op">,</tt><tt class="py-param">height</tt><tt class="py-op">,</tt><tt class="py-param">center</tt><tt class="py-op">,</tt><tt class="py-param">width</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="gaussian-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="gaussian-expanded"><a name="L13"></a><tt class="py-lineno">13</tt> <tt class="py-line"> <tt id="link-0" class="py-name" targets="Variable SmootLight.TestProfile.a=SmootLight.TestProfile-module.html#a"><a title="SmootLight.TestProfile.a" class="py-name" href="#" onclick="return doclink('link-0', 'a', 'link-0');">a</a></tt><tt class="py-op">=</tt><tt class="py-name">height</tt> </tt>
<a name="L14"></a><tt class="py-lineno">14</tt> <tt class="py-line"> <tt class="py-name">b</tt><tt class="py-op">=</tt><tt class="py-name">center</tt> </tt>
<a name="L15"></a><tt class="py-lineno">15</tt> <tt class="py-line"> <tt class="py-name">c</tt><tt class="py-op">=</tt><tt class="py-name">width</tt> </tt>
<a name="L16"></a><tt class="py-lineno">16</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt id="link-1" class="py-name"><a title="SmootLight.TestProfile.a" class="py-name" href="#" onclick="return doclink('link-1', 'a', 'link-0');">a</a></tt><tt class="py-op">*</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">exp</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt id="link-2" class="py-name" targets="Variable SmootLight.TestProfile.x=SmootLight.TestProfile-module.html#x"><a title="SmootLight.TestProfile.x" class="py-name" href="#" onclick="return doclink('link-2', 'x', 'link-2');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt class="py-name">c</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L17"></a><tt class="py-lineno">17</tt> <tt class="py-line"> </tt>
<a name="dist"></a><div id="dist-def"><a name="L18"></a><tt class="py-lineno">18</tt> <a class="py-toggle" href="#" id="dist-toggle" onclick="return toggle('dist');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="SmootLight.util.Geo-module.html#dist">dist</a><tt class="py-op">(</tt><tt class="py-param">l1</tt><tt class="py-op">,</tt> <tt class="py-param">l2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="dist-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="dist-expanded"><a name="L19"></a><tt class="py-lineno">19</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">sqrt</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">l1</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">-</tt><tt class="py-name">l2</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">+</tt><tt class="py-op">(</tt><tt class="py-name">l1</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">-</tt><tt class="py-name">l2</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-comment">#For speed</tt> </tt>
</div><a name="L20"></a><tt class="py-lineno">20</tt> <tt class="py-line"> </tt>
<a name="randomLoc"></a><div id="randomLoc-def"><a name="L21"></a><tt class="py-lineno">21</tt> <a class="py-toggle" href="#" id="randomLoc-toggle" onclick="return toggle('randomLoc');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="SmootLight.util.Geo-module.html#randomLoc">randomLoc</a><tt class="py-op">(</tt><tt class="py-param">boundingBox</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> <tt class="py-comment">#TODO: make less shitty</tt> </tt>
</div><a name="L22"></a><tt class="py-lineno">22</tt> <tt class="py-line"> <tt class="py-name">loc</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-op">]</tt> </tt>
<a name="L23"></a><tt class="py-lineno">23</tt> <tt class="py-line"> <tt class="py-name">loc</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">random</tt><tt class="py-op">.</tt><tt class="py-name">randint</tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">boundingBox</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L24"></a><tt class="py-lineno">24</tt> <tt class="py-line"> <tt class="py-name">loc</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">random</tt><tt class="py-op">.</tt><tt class="py-name">randint</tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">boundingBox</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L25"></a><tt class="py-lineno">25</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt class="py-name">loc</tt><tt class="py-op">)</tt> </tt>
</div><a name="L26"></a><tt class="py-lineno">26</tt> <tt class="py-line"> </tt>
<a name="approxexp"></a><div id="approxexp-def"><a name="L27"></a><tt class="py-lineno">27</tt> <a class="py-toggle" href="#" id="approxexp-toggle" onclick="return toggle('approxexp');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="SmootLight.util.Geo-module.html#approxexp">approxexp</a><tt class="py-op">(</tt><tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="approxexp-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="approxexp-expanded"><a name="L28"></a><tt class="py-lineno">28</tt> <tt class="py-line"> <tt class="py-docstring">"""Approximates exp with a 3 term Taylor Series."""</tt> </tt>
<a name="L29"></a><tt class="py-lineno">29</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-number">1</tt><tt class="py-op">+</tt><tt id="link-3" class="py-name"><a title="SmootLight.TestProfile.x" class="py-name" href="#" onclick="return doclink('link-3', 'x', 'link-2');">x</a></tt><tt class="py-op">+</tt><tt id="link-4" class="py-name"><a title="SmootLight.TestProfile.x" class="py-name" href="#" onclick="return doclink('link-4', 'x', 'link-2');">x</a></tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">/</tt><tt class="py-number">2</tt><tt class="py-op">+</tt><tt id="link-5" class="py-name"><a title="SmootLight.TestProfile.x" class="py-name" href="#" onclick="return doclink('link-5', 'x', 'link-2');">x</a></tt><tt class="py-op">**</tt><tt class="py-number">3</tt><tt class="py-op">/</tt><tt class="py-number">6</tt> </tt>
</div><a name="L30"></a><tt class="py-lineno">30</tt> <tt class="py-line"> </tt>
<a name="windtrail"></a><div id="windtrail-def"><a name="L31"></a><tt class="py-lineno">31</tt> <a class="py-toggle" href="#" id="windtrail-toggle" onclick="return toggle('windtrail');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="SmootLight.util.Geo-module.html#windtrail">windtrail</a><tt class="py-op">(</tt><tt class="py-param">x</tt><tt class="py-op">,</tt><tt class="py-param">y</tt><tt class="py-op">,</tt><tt class="py-param">height</tt><tt class="py-op">,</tt><tt class="py-param">center</tt><tt class="py-op">,</tt><tt class="py-param">width</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="windtrail-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="windtrail-expanded"><a name="L32"></a><tt class="py-lineno">32</tt> <tt class="py-line"> <tt id="link-6" class="py-name"><a title="SmootLight.TestProfile.a" class="py-name" href="#" onclick="return doclink('link-6', 'a', 'link-0');">a</a></tt><tt class="py-op">=</tt><tt class="py-name">height</tt> </tt>
<a name="L33"></a><tt class="py-lineno">33</tt> <tt class="py-line"> <tt class="py-name">b</tt><tt class="py-op">=</tt><tt class="py-name">center</tt> </tt>
<a name="L34"></a><tt class="py-lineno">34</tt> <tt class="py-line"> <tt class="py-name">c</tt><tt class="py-op">=</tt><tt class="py-name">width</tt> </tt>
<a name="L35"></a><tt class="py-lineno">35</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt id="link-7" class="py-name"><a title="SmootLight.TestProfile.a" class="py-name" href="#" onclick="return doclink('link-7', 'a', 'link-0');">a</a></tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">exp</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt id="link-8" class="py-name"><a title="SmootLight.TestProfile.x" class="py-name" href="#" onclick="return doclink('link-8', 'x', 'link-2');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-name">c</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">exp</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-number">0.2</tt><tt class="py-op">*</tt><tt class="py-name">c</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> </tt>
</div><a name="L36"></a><tt class="py-lineno">36</tt> <tt class="py-line"> </tt>
<a name="Location"></a><div id="Location-def"><a name="L37"></a><tt class="py-lineno">37</tt> <a class="py-toggle" href="#" id="Location-toggle" onclick="return toggle('Location');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="SmootLight.util.Geo.Location-class.html">Location</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Location-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="Location-expanded"><a name="Location.__init__"></a><div id="Location.__init__-def"><a name="L38"></a><tt class="py-lineno">38</tt> <a class="py-toggle" href="#" id="Location.__init__-toggle" onclick="return toggle('Location.__init__');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="SmootLight.util.Geo.Location-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt><tt class="py-param">x</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-param">y</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Location.__init__-collapsed" style="display:none;" pad="++" indent="++++++++"></div><div id="Location.__init__-expanded"><a name="L39"></a><tt class="py-lineno">39</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-9" class="py-name"><a title="SmootLight.TestProfile.x" class="py-name" href="#" onclick="return doclink('link-9', 'x', 'link-2');">x</a></tt> <tt class="py-op">=</tt> <tt id="link-10" class="py-name"><a title="SmootLight.TestProfile.x" class="py-name" href="#" onclick="return doclink('link-10', 'x', 'link-2');">x</a></tt> </tt>
<a name="L40"></a><tt class="py-lineno">40</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">y</tt> <tt class="py-op">=</tt> <tt class="py-name">y</tt> </tt>
</div><a name="Location.__add__"></a><div id="Location.__add__-def"><a name="L41"></a><tt class="py-lineno">41</tt> <a class="py-toggle" href="#" id="Location.__add__-toggle" onclick="return toggle('Location.__add__');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="SmootLight.util.Geo.Location-class.html#__add__">__add__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">b</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Location.__add__-collapsed" style="display:none;" pad="++" indent="++++++++"></div><div id="Location.__add__-expanded"><a name="L42"></a><tt class="py-lineno">42</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt id="link-11" class="py-name" targets="Class SmootLight.util.Geo.Location=SmootLight.util.Geo.Location-class.html"><a title="SmootLight.util.Geo.Location" class="py-name" href="#" onclick="return doclink('link-11', 'Location', 'link-11');">Location</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-12" class="py-name"><a title="SmootLight.TestProfile.x" class="py-name" href="#" onclick="return doclink('link-12', 'x', 'link-2');">x</a></tt><tt class="py-op">+</tt><tt class="py-name">b</tt><tt class="py-op">.</tt><tt id="link-13" class="py-name"><a title="SmootLight.TestProfile.x" class="py-name" href="#" onclick="return doclink('link-13', 'x', 'link-2');">x</a></tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">y</tt><tt class="py-op">+</tt><tt class="py-name">b</tt><tt class="py-op">.</tt><tt class="py-name">y</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L43"></a><tt class="py-lineno">43</tt> <tt class="py-line"> </tt><script type="text/javascript">
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