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<a href="Bio-module.html">Package Bio</a> ::
Module mathfns
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<h1 class="epydoc">Source Code for <a href="Bio.mathfns-module.html">Module Bio.mathfns</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno"> 1</tt> <tt class="py-line"><tt class="py-comment"># Copyright 2000 by Jeffrey Chang. All rights reserved.</tt> </tt>
<a name="L2"></a><tt class="py-lineno"> 2</tt> <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># This code is part of the Biopython distribution and governed by its</tt> </tt>
<a name="L3"></a><tt class="py-lineno"> 3</tt> <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># license. Please see the LICENSE file that should have been included</tt> </tt>
<a name="L4"></a><tt class="py-lineno"> 4</tt> <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># as part of this package.</tt> </tt>
<a name="L5"></a><tt class="py-lineno"> 5</tt> <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L6"></a><tt class="py-lineno"> 6</tt> <tt class="py-line"><tt class="py-docstring">"""This provides useful general math tools.</tt> </tt>
<a name="L7"></a><tt class="py-lineno"> 7</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L8"></a><tt class="py-lineno"> 8</tt> <tt class="py-line"><tt class="py-docstring">Functions:</tt> </tt>
<a name="L9"></a><tt class="py-lineno"> 9</tt> <tt class="py-line"><tt class="py-docstring">fcmp Compare two floating point numbers, up to a specified precision.</tt> </tt>
<a name="L10"></a><tt class="py-lineno">10</tt> <tt class="py-line"><tt class="py-docstring">intd Represent a floating point number as an integer.</tt> </tt>
<a name="L11"></a><tt class="py-lineno">11</tt> <tt class="py-line"><tt class="py-docstring">safe_log log, but returns an arbitrarily small number for log(0).</tt> </tt>
<a name="L12"></a><tt class="py-lineno">12</tt> <tt class="py-line"><tt class="py-docstring">safe_exp exp, but returns a large or small number instead of overflows.</tt> </tt>
<a name="L13"></a><tt class="py-lineno">13</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L14"></a><tt class="py-lineno">14</tt> <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L15"></a><tt class="py-lineno">15</tt> <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">math</tt> </tt>
<a name="L16"></a><tt class="py-lineno">16</tt> <tt class="py-line"> </tt>
<a name="fcmp"></a><div id="fcmp-def"><a name="L17"></a><tt class="py-lineno">17</tt> <a class="py-toggle" href="#" id="fcmp-toggle" onclick="return toggle('fcmp');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Bio.mathfns-module.html#fcmp">fcmp</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">precision</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="fcmp-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="fcmp-expanded"><a name="L18"></a><tt class="py-lineno">18</tt> <tt class="py-line"> <tt class="py-docstring">"""fcmp(x, y, precision) -> -1, 0, or 1"""</tt> </tt>
<a name="L19"></a><tt class="py-lineno">19</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-0" class="py-name" targets="Variable Bio.Affy.CelFile.fabs=Bio.Affy.CelFile-module.html#fabs,Variable Bio.LogisticRegression.fabs=Bio.LogisticRegression-module.html#fabs,Variable Bio.MarkovModel.fabs=Bio.MarkovModel-module.html#fabs,Variable Bio.MaxEntropy.fabs=Bio.MaxEntropy-module.html#fabs,Variable Bio.NaiveBayes.fabs=Bio.NaiveBayes-module.html#fabs,Variable Bio.Statistics.lowess.fabs=Bio.Statistics.lowess-module.html#fabs,Variable Bio.distance.fabs=Bio.distance-module.html#fabs,Variable Bio.kNN.fabs=Bio.kNN-module.html#fabs"><a title="Bio.Affy.CelFile.fabs
Bio.LogisticRegression.fabs
Bio.MarkovModel.fabs
Bio.MaxEntropy.fabs
Bio.NaiveBayes.fabs
Bio.Statistics.lowess.fabs
Bio.distance.fabs
Bio.kNN.fabs" class="py-name" href="#" onclick="return doclink('link-0', 'fabs', 'link-0');">fabs</a></tt><tt class="py-op">(</tt><tt id="link-1" class="py-name" targets="Variable Bio.MarkovModel.x=Bio.MarkovModel-module.html#x,Variable Bio.Statistics.lowess.x=Bio.Statistics.lowess-module.html#x"><a title="Bio.MarkovModel.x
Bio.Statistics.lowess.x" class="py-name" href="#" onclick="return doclink('link-1', 'x', 'link-1');">x</a></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-name">precision</tt><tt class="py-op">:</tt> </tt>
<a name="L20"></a><tt class="py-lineno">20</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-number">0</tt> </tt>
<a name="L21"></a><tt class="py-lineno">21</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt id="link-2" class="py-name"><a title="Bio.MarkovModel.x
Bio.Statistics.lowess.x" class="py-name" href="#" onclick="return doclink('link-2', 'x', 'link-1');">x</a></tt> <tt class="py-op"><</tt> <tt class="py-name">y</tt><tt class="py-op">:</tt> </tt>
<a name="L22"></a><tt class="py-lineno">22</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-op">-</tt><tt class="py-number">1</tt> </tt>
<a name="L23"></a><tt class="py-lineno">23</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-number">1</tt> </tt>
</div><a name="L24"></a><tt class="py-lineno">24</tt> <tt class="py-line"> </tt>
<a name="intd"></a><div id="intd-def"><a name="L25"></a><tt class="py-lineno">25</tt> <a class="py-toggle" href="#" id="intd-toggle" onclick="return toggle('intd');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Bio.mathfns-module.html#intd">intd</a><tt class="py-op">(</tt><tt class="py-param">x</tt><tt class="py-op">,</tt> <tt class="py-param">digits_after_decimal</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="intd-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="intd-expanded"><a name="L26"></a><tt class="py-lineno">26</tt> <tt class="py-line"> <tt class="py-docstring">"""intd(x[, digits_after_decimal]) -> int x, rounded</tt> </tt>
<a name="L27"></a><tt class="py-lineno">27</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L28"></a><tt class="py-lineno">28</tt> <tt class="py-line"><tt class="py-docstring"> Represent a floating point number with some digits after the</tt> </tt>
<a name="L29"></a><tt class="py-lineno">29</tt> <tt class="py-line"><tt class="py-docstring"> decimal point as an integer. This is useful when floating point</tt> </tt>
<a name="L30"></a><tt class="py-lineno">30</tt> <tt class="py-line"><tt class="py-docstring"> comparisons are failing due to precision problems. e.g.</tt> </tt>
<a name="L31"></a><tt class="py-lineno">31</tt> <tt class="py-line"><tt class="py-docstring"> intd(5.35, 1) -> 54.</tt> </tt>
<a name="L32"></a><tt class="py-lineno">32</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L33"></a><tt class="py-lineno">33</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
<a name="L34"></a><tt class="py-lineno">34</tt> <tt class="py-line"> <tt class="py-name">precision</tt> <tt class="py-op">=</tt> <tt class="py-number">10.</tt><tt class="py-op">**</tt><tt class="py-name">digits_after_decimal</tt> </tt>
<a name="L35"></a><tt class="py-lineno">35</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt id="link-3" class="py-name"><a title="Bio.MarkovModel.x
Bio.Statistics.lowess.x" class="py-name" href="#" onclick="return doclink('link-3', 'x', 'link-1');">x</a></tt> <tt class="py-op">>=</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L36"></a><tt class="py-lineno">36</tt> <tt class="py-line"> <tt id="link-4" class="py-name"><a title="Bio.MarkovModel.x
Bio.Statistics.lowess.x" class="py-name" href="#" onclick="return doclink('link-4', 'x', 'link-1');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt id="link-5" class="py-name"><a title="Bio.MarkovModel.x
Bio.Statistics.lowess.x" class="py-name" href="#" onclick="return doclink('link-5', 'x', 'link-1');">x</a></tt> <tt class="py-op">*</tt> <tt class="py-name">precision</tt> <tt class="py-op">+</tt> <tt class="py-number">0.5</tt><tt class="py-op">)</tt> </tt>
<a name="L37"></a><tt class="py-lineno">37</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L38"></a><tt class="py-lineno">38</tt> <tt class="py-line"> <tt id="link-6" class="py-name"><a title="Bio.MarkovModel.x
Bio.Statistics.lowess.x" class="py-name" href="#" onclick="return doclink('link-6', 'x', 'link-1');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt id="link-7" class="py-name"><a title="Bio.MarkovModel.x
Bio.Statistics.lowess.x" class="py-name" href="#" onclick="return doclink('link-7', 'x', 'link-1');">x</a></tt> <tt class="py-op">*</tt> <tt class="py-name">precision</tt> <tt class="py-op">-</tt> <tt class="py-number">0.5</tt><tt class="py-op">)</tt> </tt>
<a name="L39"></a><tt class="py-lineno">39</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt id="link-8" class="py-name"><a title="Bio.MarkovModel.x
Bio.Statistics.lowess.x" class="py-name" href="#" onclick="return doclink('link-8', 'x', 'link-1');">x</a></tt> </tt>
</div><a name="L40"></a><tt class="py-lineno">40</tt> <tt class="py-line"> </tt>
<a name="safe_log"></a><div id="safe_log-def"><a name="L41"></a><tt class="py-lineno">41</tt> <a class="py-toggle" href="#" id="safe_log-toggle" onclick="return toggle('safe_log');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Bio.mathfns-module.html#safe_log">safe_log</a><tt class="py-op">(</tt><tt class="py-param">n</tt><tt class="py-op">,</tt> <tt class="py-param">zero</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">neg</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="safe_log-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="safe_log-expanded"><a name="L42"></a><tt class="py-lineno">42</tt> <tt class="py-line"> <tt class="py-docstring">"""safe_log(n, zero=None, neg=None) -> log(n)</tt> </tt>
<a name="L43"></a><tt class="py-lineno">43</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L44"></a><tt class="py-lineno">44</tt> <tt class="py-line"><tt class="py-docstring"> Calculate the log of n. If n is 0, returns the value of zero. If n is</tt> </tt>
<a name="L45"></a><tt class="py-lineno">45</tt> <tt class="py-line"><tt class="py-docstring"> negative, returns the value of neg.</tt> </tt>
<a name="L46"></a><tt class="py-lineno">46</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L47"></a><tt class="py-lineno">47</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
<a name="L48"></a><tt class="py-lineno">48</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">n</tt> <tt class="py-op"><</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L49"></a><tt class="py-lineno">49</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">neg</tt> </tt>
<a name="L50"></a><tt class="py-lineno">50</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-name">n</tt> <tt class="py-op"><</tt> <tt class="py-number">1E-100</tt><tt class="py-op">:</tt> </tt>
<a name="L51"></a><tt class="py-lineno">51</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">zero</tt> </tt>
<a name="L52"></a><tt class="py-lineno">52</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-9" class="py-name" targets="Variable Bio.Affy.CelFile.log=Bio.Affy.CelFile-module.html#log,Variable Bio.LogisticRegression.log=Bio.LogisticRegression-module.html#log,Variable Bio.MarkovModel.log=Bio.MarkovModel-module.html#log,Variable Bio.MaxEntropy.log=Bio.MaxEntropy-module.html#log,Variable Bio.NaiveBayes.log=Bio.NaiveBayes-module.html#log,Variable Bio.Statistics.lowess.log=Bio.Statistics.lowess-module.html#log,Variable Bio.distance.log=Bio.distance-module.html#log,Variable Bio.kNN.log=Bio.kNN-module.html#log"><a title="Bio.Affy.CelFile.log
Bio.LogisticRegression.log
Bio.MarkovModel.log
Bio.MaxEntropy.log
Bio.NaiveBayes.log
Bio.Statistics.lowess.log
Bio.distance.log
Bio.kNN.log" class="py-name" href="#" onclick="return doclink('link-9', 'log', 'link-9');">log</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">)</tt> </tt>
</div><a name="L53"></a><tt class="py-lineno">53</tt> <tt class="py-line"> </tt>
<a name="L54"></a><tt class="py-lineno">54</tt> <tt class="py-line"><tt id="link-10" class="py-name" targets="Variable Bio.mathfns.LOG2=Bio.mathfns-module.html#LOG2"><a title="Bio.mathfns.LOG2" class="py-name" href="#" onclick="return doclink('link-10', 'LOG2', 'link-10');">LOG2</a></tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-11" class="py-name"><a title="Bio.Affy.CelFile.log
Bio.LogisticRegression.log
Bio.MarkovModel.log
Bio.MaxEntropy.log
Bio.NaiveBayes.log
Bio.Statistics.lowess.log
Bio.distance.log
Bio.kNN.log" class="py-name" href="#" onclick="return doclink('link-11', 'log', 'link-9');">log</a></tt><tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
<a name="safe_log2"></a><div id="safe_log2-def"><a name="L55"></a><tt class="py-lineno">55</tt> <a class="py-toggle" href="#" id="safe_log2-toggle" onclick="return toggle('safe_log2');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Bio.mathfns-module.html#safe_log2">safe_log2</a><tt class="py-op">(</tt><tt class="py-param">n</tt><tt class="py-op">,</tt> <tt class="py-param">zero</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">neg</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="safe_log2-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="safe_log2-expanded"><a name="L56"></a><tt class="py-lineno">56</tt> <tt class="py-line"> <tt class="py-docstring">"""safe_log2(n, zero=None, neg=None) -> log(n)</tt> </tt>
<a name="L57"></a><tt class="py-lineno">57</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L58"></a><tt class="py-lineno">58</tt> <tt class="py-line"><tt class="py-docstring"> Calculate the log base 2 of n. If n is 0, returns the value of</tt> </tt>
<a name="L59"></a><tt class="py-lineno">59</tt> <tt class="py-line"><tt class="py-docstring"> zero. If n is negative, returns the value of neg.</tt> </tt>
<a name="L60"></a><tt class="py-lineno">60</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L61"></a><tt class="py-lineno">61</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
<a name="L62"></a><tt class="py-lineno">62</tt> <tt class="py-line"> <tt class="py-name">l</tt> <tt class="py-op">=</tt> <tt id="link-12" class="py-name" targets="Function Bio.mathfns.safe_log()=Bio.mathfns-module.html#safe_log"><a title="Bio.mathfns.safe_log" class="py-name" href="#" onclick="return doclink('link-12', 'safe_log', 'link-12');">safe_log</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt> <tt class="py-name">zero</tt><tt class="py-op">=</tt><tt class="py-name">zero</tt><tt class="py-op">,</tt> <tt class="py-name">neg</tt><tt class="py-op">=</tt><tt class="py-name">neg</tt><tt class="py-op">)</tt> </tt>
<a name="L63"></a><tt class="py-lineno">63</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">l</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L64"></a><tt class="py-lineno">64</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">l</tt> </tt>
<a name="L65"></a><tt class="py-lineno">65</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">l</tt><tt class="py-op">/</tt><tt id="link-13" class="py-name"><a title="Bio.mathfns.LOG2" class="py-name" href="#" onclick="return doclink('link-13', 'LOG2', 'link-10');">LOG2</a></tt> </tt>
</div><a name="L66"></a><tt class="py-lineno">66</tt> <tt class="py-line"> </tt>
<a name="safe_exp"></a><div id="safe_exp-def"><a name="L67"></a><tt class="py-lineno">67</tt> <a class="py-toggle" href="#" id="safe_exp-toggle" onclick="return toggle('safe_exp');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Bio.mathfns-module.html#safe_exp">safe_exp</a><tt class="py-op">(</tt><tt class="py-param">n</tt><tt class="py-op">,</tt> <tt class="py-param">under</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">over</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="safe_exp-collapsed" style="display:none;" pad="++" indent="++++"></div><div id="safe_exp-expanded"><a name="L68"></a><tt class="py-lineno">68</tt> <tt class="py-line"> <tt class="py-docstring">"""safe_exp(n, under=None, over=None) -> e**n</tt> </tt>
<a name="L69"></a><tt class="py-lineno">69</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L70"></a><tt class="py-lineno">70</tt> <tt class="py-line"><tt class="py-docstring"> Guaranteed not to overflow. Instead of overflowing, it returns</tt> </tt>
<a name="L71"></a><tt class="py-lineno">71</tt> <tt class="py-line"><tt class="py-docstring"> the values of 'under' for underflows or 'over' for overflows.</tt> </tt>
<a name="L72"></a><tt class="py-lineno">72</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L73"></a><tt class="py-lineno">73</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
<a name="L74"></a><tt class="py-lineno">74</tt> <tt class="py-line"> <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L75"></a><tt class="py-lineno">75</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt id="link-14" class="py-name" targets="Variable Bio.Affy.CelFile.exp=Bio.Affy.CelFile-module.html#exp,Variable Bio.LogisticRegression.exp=Bio.LogisticRegression-module.html#exp,Variable Bio.MarkovModel.exp=Bio.MarkovModel-module.html#exp,Variable Bio.MaxEntropy.exp=Bio.MaxEntropy-module.html#exp,Variable Bio.NaiveBayes.exp=Bio.NaiveBayes-module.html#exp,Variable Bio.Statistics.lowess.exp=Bio.Statistics.lowess-module.html#exp,Variable Bio.distance.exp=Bio.distance-module.html#exp,Variable Bio.kNN.exp=Bio.kNN-module.html#exp"><a title="Bio.Affy.CelFile.exp
Bio.LogisticRegression.exp
Bio.MarkovModel.exp
Bio.MaxEntropy.exp
Bio.NaiveBayes.exp
Bio.Statistics.lowess.exp
Bio.distance.exp
Bio.kNN.exp" class="py-name" href="#" onclick="return doclink('link-14', 'exp', 'link-14');">exp</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">)</tt> </tt>
<a name="L76"></a><tt class="py-lineno">76</tt> <tt class="py-line"> <tt class="py-keyword">except</tt> <tt class="py-name">OverflowError</tt><tt class="py-op">:</tt> </tt>
<a name="L77"></a><tt class="py-lineno">77</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">n</tt> <tt class="py-op"><</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L78"></a><tt class="py-lineno">78</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">under</tt> </tt>
<a name="L79"></a><tt class="py-lineno">79</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">over</tt> </tt>
<a name="L80"></a><tt class="py-lineno">80</tt> <tt class="py-line"> <tt class="py-keyword">raise</tt> <tt class="py-string">"How did I get here?"</tt> </tt>
</div><a name="L81"></a><tt class="py-lineno">81</tt> <tt class="py-line"> </tt>
<a name="L82"></a><tt class="py-lineno">82</tt> <tt class="py-line"><tt class="py-comment"># Try and load C implementations of functions. If I can't,</tt> </tt>
<a name="L83"></a><tt class="py-lineno">83</tt> <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment"># then just ignore and use the pure python implementations.</tt> </tt>
<a name="L84"></a><tt class="py-lineno">84</tt> <tt class="py-line"><tt class="py-comment"></tt><tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L85"></a><tt class="py-lineno">85</tt> <tt class="py-line"> <tt class="py-keyword">from</tt> <tt class="py-name">cmathfns</tt> <tt class="py-keyword">import</tt> <tt class="py-op">*</tt> </tt>
<a name="L86"></a><tt class="py-lineno">86</tt> <tt class="py-line"><tt class="py-keyword">except</tt> <tt class="py-name">ImportError</tt><tt class="py-op">:</tt> </tt>
<a name="L87"></a><tt class="py-lineno">87</tt> <tt class="py-line"> <tt class="py-keyword">pass</tt> </tt>
<a name="L88"></a><tt class="py-lineno">88</tt> <tt class="py-line"> </tt><script type="text/javascript">
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