TheAlgorithms-C/dc/d80/cantor__set_8c.html
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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="headertitle"><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" target="_blank">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>
<tr class="memitem:a2b95c356aff8a282eaad255008fa5a94"><td class="memItemLeft" align="right" valign="top"><a id="a2b95c356aff8a282eaad255008fa5a94" name="a2b95c356aff8a282eaad255008fa5a94"></a>
typedef struct <a class="el" href="../../d9/dd7/struct__cantor__set.html">_cantor_set</a>&#160;</td><td class="memItemRight" valign="bottom"><b>CantorSet</b></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>
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<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>
<tr class="separator:a85df3c64a683100ac6246e1e034df43d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abf9e6b7e6f15df4b525a2e7705ba3089"><td class="memItemLeft" align="right" valign="top">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. <a href="../../dc/d80/cantor__set_8c.html#abf9e6b7e6f15df4b525a2e7705ba3089">More...</a><br /></td></tr>
<tr class="separator:abf9e6b7e6f15df4b525a2e7705ba3089"><td class="memSeparator" colspan="2">&#160;</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" target="_blank">Cantor ternary set</a> </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a85df3c64a683100ac6246e1e034df43d" name="a85df3c64a683100ac6246e1e034df43d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a85df3c64a683100ac6246e1e034df43d">&#9670;&#160;</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>
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<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"><span class="lineno"> 73</span>{</div>
<div class="line"><span class="lineno"> 74</span> <span class="keywordflow">if</span> (!head)</div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 76</span> </div>
<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">if</span> (head-&gt;<a class="code hl_variable" href="../../d5/da1/structnode.html#a111a569ab2765add9b91c9f94cf9f063">next</a>)</div>
<div class="line"><span class="lineno"> 78</span> <a class="code hl_function" href="../../dc/d80/cantor__set_8c.html#a85df3c64a683100ac6246e1e034df43d">free_memory</a>(head-&gt;<a class="code hl_variable" href="../../d5/da1/structnode.html#a111a569ab2765add9b91c9f94cf9f063">next</a>);</div>
<div class="line"><span class="lineno"> 79</span> </div>
<div class="line"><span class="lineno"> 80</span> <a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a>(head);</div>
<div class="line"><span class="lineno"> 81</span>}</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="amalloc__dbg_8h_html_a9cc854374299a1dd933bf62029761768"><div class="ttname"><a href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a></div><div class="ttdeci">#define free(ptr)</div><div class="ttdoc">This macro replace the standard free function with free_dbg.</div><div class="ttdef"><b>Definition:</b> malloc_dbg.h:26</div></div>
<div class="ttc" id="astructnode_html_a111a569ab2765add9b91c9f94cf9f063"><div class="ttname"><a href="../../d5/da1/structnode.html#a111a569ab2765add9b91c9f94cf9f063">node::next</a></div><div class="ttdeci">struct node * next</div><div class="ttdoc">pointer to the node</div><div class="ttdef"><b>Definition:</b> bfs.c:24</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#abf9e6b7e6f15df4b525a2e7705ba3089">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">char const *&#160;</td>
<td class="paramname"><em>argv</em>[]&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Main function. </p>
<div class="fragment"><div class="line"><span class="lineno"> 85</span>{</div>
<div class="line"><span class="lineno"> 86</span> <span class="keywordtype">int</span> start_num, end_num, levels;</div>
<div class="line"><span class="lineno"> 87</span> </div>
<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">if</span> (argc &lt; 2)</div>
<div class="line"><span class="lineno"> 89</span> {</div>
<div class="line"><span class="lineno"> 90</span> printf(<span class="stringliteral">&quot;Enter 3 arguments: start_num \t end_num \t levels\n&quot;</span>);</div>
<div class="line"><span class="lineno"> 91</span> scanf(<span class="stringliteral">&quot;%d %d %d&quot;</span>, &amp;start_num, &amp;end_num, &amp;levels);</div>
<div class="line"><span class="lineno"> 92</span> }</div>
<div class="line"><span class="lineno"> 93</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 94</span> {</div>
<div class="line"><span class="lineno"> 95</span> start_num = atoi(argv[1]);</div>
<div class="line"><span class="lineno"> 96</span> end_num = atoi(argv[2]);</div>
<div class="line"><span class="lineno"> 97</span> levels = atoi(argv[3]);</div>
<div class="line"><span class="lineno"> 98</span> }</div>
<div class="line"><span class="lineno"> 99</span> </div>
<div class="line"><span class="lineno"> 100</span> <span class="keywordflow">if</span> (start_num &lt; 0 || end_num &lt; 0 || levels &lt; 0)</div>
<div class="line"><span class="lineno"> 101</span> {</div>
<div class="line"><span class="lineno"> 102</span> fprintf(stderr, <span class="stringliteral">&quot;All numbers must be positive\n&quot;</span>);</div>
<div class="line"><span class="lineno"> 103</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><span class="lineno"> 104</span> }</div>
<div class="line"><span class="lineno"> 105</span> </div>
<div class="line"><span class="lineno"> 106</span> <a class="code hl_struct" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a> head = {.start = start_num, .end = end_num, .<a class="code hl_variable" href="../../d5/da1/structnode.html#a111a569ab2765add9b91c9f94cf9f063">next</a> = NULL};</div>
<div class="line"><span class="lineno"> 107</span> </div>
<div class="line"><span class="lineno"> 108</span> <span class="comment">// loop to propagate each level from top to bottom</span></div>
<div class="line"><span class="lineno"> 109</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; levels; i++)</div>
<div class="line"><span class="lineno"> 110</span> {</div>
<div class="line"><span class="lineno"> 111</span> printf(<span class="stringliteral">&quot;Level %d\t&quot;</span>, i);</div>
<div class="line"><span class="lineno"> 112</span> <a class="code hl_function" href="../../dc/d80/cantor__set_8c.html#a75ee530cd7148a63249784ad3dda8fab">print</a>(&amp;head);</div>
<div class="line"><span class="lineno"> 113</span> <a class="code hl_function" href="../../dc/d80/cantor__set_8c.html#a1f156d2b53b80305bd2fa3ff5fdf3c97">propagate</a>(&amp;head);</div>
<div class="line"><span class="lineno"> 114</span> printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><span class="lineno"> 115</span> }</div>
<div class="line"><span class="lineno"> 116</span> printf(<span class="stringliteral">&quot;Level %d\t&quot;</span>, levels);</div>
<div class="line"><span class="lineno"> 117</span> <a class="code hl_function" href="../../dc/d80/cantor__set_8c.html#a75ee530cd7148a63249784ad3dda8fab">print</a>(&amp;head);</div>
<div class="line"><span class="lineno"> 118</span> </div>
<div class="line"><span class="lineno"> 119</span> <span class="comment">// delete all memory allocated</span></div>
<div class="line"><span class="lineno"> 120</span> <a class="code hl_function" href="../../dc/d80/cantor__set_8c.html#a85df3c64a683100ac6246e1e034df43d">free_memory</a>(head.<a class="code hl_variable" href="../../d5/da1/structnode.html#a111a569ab2765add9b91c9f94cf9f063">next</a>);</div>
<div class="line"><span class="lineno"> 121</span> </div>
<div class="line"><span class="lineno"> 122</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 123</span>}</div>
<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_a75ee530cd7148a63249784ad3dda8fab"><div class="ttname"><a href="../../dc/d80/cantor__set_8c.html#a75ee530cd7148a63249784ad3dda8fab">print</a></div><div class="ttdeci">void print(CantorSet *head)</div><div class="ttdoc">Print sets in the current range to stdout</div><div class="ttdef"><b>Definition:</b> cantor_set.c:55</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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<h2 class="memtitle"><span class="permalink"><a href="#a75ee530cd7148a63249784ad3dda8fab">&#9670;&#160;</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>
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<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"><span class="lineno"> 56</span>{</div>
<div class="line"><span class="lineno"> 57</span> <a class="code hl_struct" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a> *temp = head;</div>
<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">while</span> (temp != NULL) <span class="comment">// print while a valid set is found</span></div>
<div class="line"><span class="lineno"> 59</span> {</div>
<div class="line"><span class="lineno"> 60</span> printf(<span class="stringliteral">&quot;\t&quot;</span>);</div>
<div class="line"><span class="lineno"> 61</span> printf(<span class="stringliteral">&quot;[%lf] -- &quot;</span>, temp-&gt;start);</div>
<div class="line"><span class="lineno"> 62</span> printf(<span class="stringliteral">&quot;[%lf]&quot;</span>, temp-&gt;end);</div>
<div class="line"><span class="lineno"> 63</span> temp = temp-&gt;<a class="code hl_variable" href="../../d5/da1/structnode.html#a111a569ab2765add9b91c9f94cf9f063">next</a>;</div>
<div class="line"><span class="lineno"> 64</span> }</div>
<div class="line"><span class="lineno"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><span class="lineno"> 67</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1f156d2b53b80305bd2fa3ff5fdf3c97">&#9670;&#160;</a></span>propagate()</h2>
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<table class="memname">
<tr>
<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>
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<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"><span class="lineno"> 24</span>{</div>
<div class="line"><span class="lineno"> 25</span> <span class="comment">// if input is NULL, ignore the process</span></div>
<div class="line"><span class="lineno"> 26</span> <span class="keywordflow">if</span> (head == NULL)</div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 28</span> </div>
<div class="line"><span class="lineno"> 29</span> <a class="code hl_struct" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a> *temp = head; <span class="comment">// local pointer to track propagation</span></div>
<div class="line"><span class="lineno"> 30</span> </div>
<div class="line"><span class="lineno"> 31</span> <span class="comment">// create new node for the new set</span></div>
<div class="line"><span class="lineno"> 32</span> <a class="code hl_struct" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a> *newNode = (<a class="code hl_struct" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a> *)<a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a>(<span class="keyword">sizeof</span>(<a class="code hl_struct" href="../../d9/dd7/struct__cantor__set.html">CantorSet</a>));</div>
<div class="line"><span class="lineno"> 33</span> </div>
<div class="line"><span class="lineno"> 34</span> <span class="comment">// get 1/3rd of interval</span></div>
<div class="line"><span class="lineno"> 35</span> <span class="keywordtype">double</span> diff = (((temp-&gt;end) - (temp-&gt;start)) / 3);</div>
<div class="line"><span class="lineno"> 36</span> </div>
<div class="line"><span class="lineno"> 37</span> <span class="comment">// update interval ranges</span></div>
<div class="line"><span class="lineno"> 38</span> newNode-&gt;end = temp-&gt;end;</div>
<div class="line"><span class="lineno"> 39</span> temp-&gt;end = ((temp-&gt;start) + diff);</div>
<div class="line"><span class="lineno"> 40</span> newNode-&gt;start = (newNode-&gt;end) - diff;</div>
<div class="line"><span class="lineno"> 41</span> </div>
<div class="line"><span class="lineno"> 42</span> <span class="comment">// update pointer to next set in this level</span></div>
<div class="line"><span class="lineno"> 43</span> newNode-&gt;next = temp-&gt;<a class="code hl_variable" href="../../d5/da1/structnode.html#a111a569ab2765add9b91c9f94cf9f063">next</a>;</div>
<div class="line"><span class="lineno"> 44</span> </div>
<div class="line"><span class="lineno"> 45</span> <span class="comment">// point to next set</span></div>
<div class="line"><span class="lineno"> 46</span> temp-&gt;<a class="code hl_variable" href="../../d5/da1/structnode.html#a111a569ab2765add9b91c9f94cf9f063">next</a> = newNode;</div>
<div class="line"><span class="lineno"> 47</span> </div>
<div class="line"><span class="lineno"> 48</span> <span class="comment">// create next set</span></div>
<div class="line"><span class="lineno"> 49</span> <a class="code hl_function" href="../../dc/d80/cantor__set_8c.html#a1f156d2b53b80305bd2fa3ff5fdf3c97">propagate</a>(temp-&gt;<a class="code hl_variable" href="../../d5/da1/structnode.html#a111a569ab2765add9b91c9f94cf9f063">next</a>-&gt;<a class="code hl_variable" href="../../d5/da1/structnode.html#a111a569ab2765add9b91c9f94cf9f063">next</a>);</div>
<div class="line"><span class="lineno"> 50</span>}</div>
<div class="ttc" id="amalloc__dbg_8h_html_a725f50ecaf1959d96de79b36b4788fee"><div class="ttname"><a href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a></div><div class="ttdeci">#define malloc(bytes)</div><div class="ttdoc">This macro replace the standard malloc function with malloc_dbg.</div><div class="ttdef"><b>Definition:</b> malloc_dbg.h:18</div></div>
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