TheAlgorithms-C/dc/d80/cantor__set_8c.html
2020-07-02 00:13:21 +00:00

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&#160;<span id="projectnumber">1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C.</div>
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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">cantor_set.c File Reference</div> </div>
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<p>Program to generate <a href="https://en.wikipedia.org/wiki/Cantor_set">Cantor ternary set</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;stdio.h&gt;</code><br />
<code>#include &lt;stdlib.h&gt;</code><br />
<code>#include &lt;string.h&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for cantor_set.c:</div>
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Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/dd7/struct__cantor__set.html">_cantor_set</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">structure to define Cantor set <a href="../../d9/dd7/struct__cantor__set.html#details">More...</a><br /></td></tr>
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Typedefs</h2></td></tr>
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typedef struct <a class="el" href="../../d9/dd7/struct__cantor__set.html">_cantor_set</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d80/cantor__set_8c.html#a2b95c356aff8a282eaad255008fa5a94">CantorSet</a></td></tr>
<tr class="memdesc:a2b95c356aff8a282eaad255008fa5a94"><td class="mdescLeft">&#160;</td><td class="mdescRight">structure to define Cantor set <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a1f156d2b53b80305bd2fa3ff5fdf3c97"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d80/cantor__set_8c.html#a1f156d2b53b80305bd2fa3ff5fdf3c97">propagate</a> (<a class="el" href="../../dc/d80/cantor__set_8c.html#a2b95c356aff8a282eaad255008fa5a94">CantorSet</a> *head)</td></tr>
<tr class="memdesc:a1f156d2b53b80305bd2fa3ff5fdf3c97"><td class="mdescLeft">&#160;</td><td class="mdescRight">Iterative constructor of all sets in the current level. <a href="../../dc/d80/cantor__set_8c.html#a1f156d2b53b80305bd2fa3ff5fdf3c97">More...</a><br /></td></tr>
<tr class="separator:a1f156d2b53b80305bd2fa3ff5fdf3c97"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a75ee530cd7148a63249784ad3dda8fab"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d80/cantor__set_8c.html#a75ee530cd7148a63249784ad3dda8fab">print</a> (<a class="el" href="../../dc/d80/cantor__set_8c.html#a2b95c356aff8a282eaad255008fa5a94">CantorSet</a> *head)</td></tr>
<tr class="memdesc:a75ee530cd7148a63249784ad3dda8fab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Print sets in the current range to <code>stdout</code> <a href="../../dc/d80/cantor__set_8c.html#a75ee530cd7148a63249784ad3dda8fab">More...</a><br /></td></tr>
<tr class="separator:a75ee530cd7148a63249784ad3dda8fab"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a85df3c64a683100ac6246e1e034df43d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d80/cantor__set_8c.html#a85df3c64a683100ac6246e1e034df43d">free_memory</a> (<a class="el" href="../../dc/d80/cantor__set_8c.html#a2b95c356aff8a282eaad255008fa5a94">CantorSet</a> *head)</td></tr>
<tr class="memdesc:a85df3c64a683100ac6246e1e034df43d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clear memory allocated by <a class="el" href="../../dc/d80/cantor__set_8c.html#a1f156d2b53b80305bd2fa3ff5fdf3c97" title="Iterative constructor of all sets in the current level.">propagate</a> function. <a href="../../dc/d80/cantor__set_8c.html#a85df3c64a683100ac6246e1e034df43d">More...</a><br /></td></tr>
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<tr class="memitem:abf9e6b7e6f15df4b525a2e7705ba3089"><td class="memItemLeft" align="right" valign="top"><a id="abf9e6b7e6f15df4b525a2e7705ba3089"></a>
int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d80/cantor__set_8c.html#abf9e6b7e6f15df4b525a2e7705ba3089">main</a> (int argc, char const *argv[])</td></tr>
<tr class="memdesc:abf9e6b7e6f15df4b525a2e7705ba3089"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Program to generate <a href="https://en.wikipedia.org/wiki/Cantor_set">Cantor ternary set</a> </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a85df3c64a683100ac6246e1e034df43d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a85df3c64a683100ac6246e1e034df43d">&#9670;&nbsp;</a></span>free_memory()</h2>
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<td class="memname">void free_memory </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../dc/d80/cantor__set_8c.html#a2b95c356aff8a282eaad255008fa5a94">CantorSet</a> *&#160;</td>
<td class="paramname"><em>head</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Clear memory allocated by <a class="el" href="../../dc/d80/cantor__set_8c.html#a1f156d2b53b80305bd2fa3ff5fdf3c97" title="Iterative constructor of all sets in the current level.">propagate</a> function. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">head</td><td>pointer to first allocated instance. </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;{</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keywordflow">if</span> (!head)</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keywordflow">if</span> (head-&gt;next)</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <a class="code" href="../../dc/d80/cantor__set_8c.html#a85df3c64a683100ac6246e1e034df43d">free_memory</a>(head-&gt;next);</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; free(head);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;}</div>
</div><!-- fragment -->
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<a id="a75ee530cd7148a63249784ad3dda8fab"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a75ee530cd7148a63249784ad3dda8fab">&#9670;&nbsp;</a></span>print()</h2>
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<td class="memname">void print </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../dc/d80/cantor__set_8c.html#a2b95c356aff8a282eaad255008fa5a94">CantorSet</a> *&#160;</td>
<td class="paramname"><em>head</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Print sets in the current range to <code>stdout</code> </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">head</td><td>pointer to first set in the current level </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;{</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <a class="code" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a> *temp = head;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">while</span> (temp != NULL) <span class="comment">// print while a valid set is found</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; {</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; printf(<span class="stringliteral">&quot;\t&quot;</span>);</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; printf(<span class="stringliteral">&quot;[%lf] -- &quot;</span>, temp-&gt;start);</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; printf(<span class="stringliteral">&quot;[%lf]&quot;</span>, temp-&gt;end);</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; temp = temp-&gt;next;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;}</div>
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<a id="a1f156d2b53b80305bd2fa3ff5fdf3c97"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1f156d2b53b80305bd2fa3ff5fdf3c97">&#9670;&nbsp;</a></span>propagate()</h2>
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<td class="memname">void propagate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../dc/d80/cantor__set_8c.html#a2b95c356aff8a282eaad255008fa5a94">CantorSet</a> *&#160;</td>
<td class="paramname"><em>head</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Iterative constructor of all sets in the current level. </p>
<p>This function dynamically allocates memory when creating new sets. These are freed by the function <a class="el" href="../../dc/d80/cantor__set_8c.html#a85df3c64a683100ac6246e1e034df43d" title="Clear memory allocated by propagate function.">free_memory</a>. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">head</td><td>pointer to interval set instance to update </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;{</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; <span class="comment">// if input is NULL, ignore the process</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <span class="keywordflow">if</span> (head == NULL)</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; <a class="code" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a> *temp = head; <span class="comment">// local pointer to track propagation</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="comment">// create new node for the new set</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <a class="code" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a> *newNode = (<a class="code" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a>));</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="comment">// get 1/3rd of interval</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="keywordtype">double</span> diff = (((temp-&gt;end) - (temp-&gt;start)) / 3);</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="comment">// update interval ranges</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; newNode-&gt;end = temp-&gt;end;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; temp-&gt;end = ((temp-&gt;start) + diff);</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; newNode-&gt;start = (newNode-&gt;end) - diff;</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="comment">// update pointer to next set in this level</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; newNode-&gt;next = temp-&gt;next;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="comment">// point to next set</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; temp-&gt;next = newNode;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <span class="comment">// create next set</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <a class="code" href="../../dc/d80/cantor__set_8c.html#a1f156d2b53b80305bd2fa3ff5fdf3c97">propagate</a>(temp-&gt;next-&gt;next);</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;}</div>
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<div class="ttc" id="acantor__set_8c_html_a1f156d2b53b80305bd2fa3ff5fdf3c97"><div class="ttname"><a href="../../dc/d80/cantor__set_8c.html#a1f156d2b53b80305bd2fa3ff5fdf3c97">propagate</a></div><div class="ttdeci">void propagate(CantorSet *head)</div><div class="ttdoc">Iterative constructor of all sets in the current level.</div><div class="ttdef"><b>Definition:</b> cantor_set.c:23</div></div>
<div class="ttc" id="acantor__set_8c_html_a85df3c64a683100ac6246e1e034df43d"><div class="ttname"><a href="../../dc/d80/cantor__set_8c.html#a85df3c64a683100ac6246e1e034df43d">free_memory</a></div><div class="ttdeci">void free_memory(CantorSet *head)</div><div class="ttdoc">Clear memory allocated by propagate function.</div><div class="ttdef"><b>Definition:</b> cantor_set.c:72</div></div>
<div class="ttc" id="astruct__cantor__set_html"><div class="ttname"><a href="../../d9/dd7/struct__cantor__set.html">_cantor_set</a></div><div class="ttdoc">structure to define Cantor set</div><div class="ttdef"><b>Definition:</b> cantor_set.c:12</div></div>
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