TheAlgorithms-C/d1/df9/problem__26_2sol1_8c.html
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<div id="projectbrief">Set of algorithms implemented in C.</div>
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<a href="#define-members">Macros</a> &#124;
<a href="#func-members">Functions</a> </div>
<div class="headertitle"><div class="title">sol1.c File Reference</div></div>
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<p><a href="https://projecteuler.net/problem=26" target="_blank">Problem 26</a> solution
<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 />
<code>#include &lt;time.h&gt;</code><br />
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Include dependency graph for sol1.c:</div>
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Macros</h2></td></tr>
<tr class="memitem:a619eec3220cebd7c5e455edbb14e9b12"><td class="memItemLeft" align="right" valign="top"><a id="a619eec3220cebd7c5e455edbb14e9b12" name="a619eec3220cebd7c5e455edbb14e9b12"></a>
#define&#160;</td><td class="memItemRight" valign="bottom"><b>MAX_DENO</b>&#160;&#160;&#160;2000</td></tr>
<tr class="memdesc:a619eec3220cebd7c5e455edbb14e9b12"><td class="mdescLeft">&#160;</td><td class="mdescRight">limit of unit fractions <br /></td></tr>
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<tr class="memitem:aabf4f709c8199e41cf279c77112345fe"><td class="memItemLeft" align="right" valign="top"><a id="aabf4f709c8199e41cf279c77112345fe" name="aabf4f709c8199e41cf279c77112345fe"></a>
#define&#160;</td><td class="memItemRight" valign="bottom"><b>MAX_LEN</b>&#160;&#160;&#160; (<a class="el" href="../../d1/df9/problem__26_2sol1_8c.html#a619eec3220cebd7c5e455edbb14e9b12">MAX_DENO</a> + 10)</td></tr>
<tr class="memdesc:aabf4f709c8199e41cf279c77112345fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">length of resulting recurring fraction number <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:ac70138609ef6aa6fabca57aca8681e83"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/df9/problem__26_2sol1_8c.html#ac70138609ef6aa6fabca57aca8681e83">compare</a> (const void *a, const void *b)</td></tr>
<tr class="memdesc:ac70138609ef6aa6fabca57aca8681e83"><td class="mdescLeft">&#160;</td><td class="mdescRight">comparison function for use with internal <code>qsort</code> algorithm <a href="../../d1/df9/problem__26_2sol1_8c.html#ac70138609ef6aa6fabca57aca8681e83">More...</a><br /></td></tr>
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<tr class="memitem:a0ddf1224851353fc92bfbff6f499fa97"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/df9/problem__26_2sol1_8c.html#a0ddf1224851353fc92bfbff6f499fa97">main</a> (int argc, char *argv[])</td></tr>
<tr class="memdesc:a0ddf1224851353fc92bfbff6f499fa97"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d1/df9/problem__26_2sol1_8c.html#a0ddf1224851353fc92bfbff6f499fa97">More...</a><br /></td></tr>
<tr class="separator:a0ddf1224851353fc92bfbff6f499fa97"><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 ><a href="https://projecteuler.net/problem=26" target="_blank">Problem 26</a> solution </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ac70138609ef6aa6fabca57aca8681e83" name="ac70138609ef6aa6fabca57aca8681e83"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac70138609ef6aa6fabca57aca8681e83">&#9670;&nbsp;</a></span>compare()</h2>
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<td class="memname">int compare </td>
<td>(</td>
<td class="paramtype">const void *&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const void *&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
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<td></td>
<td>)</td>
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<p>comparison function for use with internal <code>qsort</code> algorithm </p>
<div class="fragment"><div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span>{</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">return</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">short</span> *)a - *(<span class="keywordtype">unsigned</span> <span class="keywordtype">short</span> *)b);</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0ddf1224851353fc92bfbff6f499fa97">&#9670;&nbsp;</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 *&#160;</td>
<td class="paramname"><em>argv</em>[]&#160;</td>
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<td></td>
<td>)</td>
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<p>Main function. </p>
<div class="fragment"><div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span>{</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">short</span> max_digits = 0, max_idx_number = 0;</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> clock_t start_time = clock();</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keywordtype">short</span> deno;</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#pragma omp for</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">for</span> (deno = 2; deno &lt; <a class="code hl_define" href="../../d1/df9/problem__26_2sol1_8c.html#a619eec3220cebd7c5e455edbb14e9b12">MAX_DENO</a>; deno++)</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> {</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">short</span> remainders[<a class="code hl_define" href="../../d1/df9/problem__26_2sol1_8c.html#aabf4f709c8199e41cf279c77112345fe">MAX_LEN</a>];</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">short</span> rem = 1, *rem_ptr = remainders;</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> memset(remainders, (<span class="keywordtype">unsigned</span> <span class="keywordtype">short</span>)-1,</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <a class="code hl_define" href="../../d1/df9/problem__26_2sol1_8c.html#aabf4f709c8199e41cf279c77112345fe">MAX_LEN</a> * <span class="keyword">sizeof</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">short</span>));</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// remainders[0] = 1;</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// printf(&quot;1/%-4u\t &quot;, deno);</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">short</span> index = 0, num_digits;</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">while</span> (rem != 0)</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> rem = (rem * 10) % deno;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">if</span> (rem == 0)</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> {</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> index = 0;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> rem_ptr = (<span class="keywordtype">unsigned</span> <span class="keywordtype">short</span> *)bsearch(</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> &amp;rem, remainders, <a class="code hl_define" href="../../d1/df9/problem__26_2sol1_8c.html#aabf4f709c8199e41cf279c77112345fe">MAX_LEN</a>, <span class="keyword">sizeof</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">short</span>), <a class="code hl_function" href="../../d1/df9/problem__26_2sol1_8c.html#ac70138609ef6aa6fabca57aca8681e83">compare</a>);</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// printf(&quot;%2d, &quot;, rem);</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="comment">// printf(&quot;(%14p), &quot;, rem_ptr);</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">if</span> (rem_ptr != NULL)</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> remainders[index] = rem;</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> rem_ptr = remainders;</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> index++;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> num_digits = index - (rem_ptr - remainders);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// printf(&quot;\n\t(%14p, %14p, %4u, %4u)\n&quot;, rem_ptr, remainders, index,</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// num_digits);</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span><span class="preprocessor">#pragma omp critical</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> {</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">if</span> (num_digits &gt; max_digits)</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> {</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> max_digits = num_digits;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> max_idx_number = deno;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// printf(&quot;\t (%u, %u)\n &quot;, max_digits, max_idx_number);</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> }</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> clock_t end_time = clock();</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> printf(<span class="stringliteral">&quot;Time taken: %.4g ms\n&quot;</span>,</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> 1e3 * (<span class="keywordtype">double</span>)(end_time - start_time) / CLOCKS_PER_SEC);</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> printf(<span class="stringliteral">&quot;Maximum digits: %hu\t Denominator: %hu\n&quot;</span>, max_digits,</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> max_idx_number);</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span>}</div>
<div class="ttc" id="aproblem__26_2sol1_8c_html_a619eec3220cebd7c5e455edbb14e9b12"><div class="ttname"><a href="../../d1/df9/problem__26_2sol1_8c.html#a619eec3220cebd7c5e455edbb14e9b12">MAX_DENO</a></div><div class="ttdeci">#define MAX_DENO</div><div class="ttdoc">limit of unit fractions</div><div class="ttdef"><b>Definition:</b> sol1.c:14</div></div>
<div class="ttc" id="aproblem__26_2sol1_8c_html_aabf4f709c8199e41cf279c77112345fe"><div class="ttname"><a href="../../d1/df9/problem__26_2sol1_8c.html#aabf4f709c8199e41cf279c77112345fe">MAX_LEN</a></div><div class="ttdeci">#define MAX_LEN</div><div class="ttdoc">length of resulting recurring fraction number</div><div class="ttdef"><b>Definition:</b> sol1.c:15</div></div>
<div class="ttc" id="aproblem__26_2sol1_8c_html_ac70138609ef6aa6fabca57aca8681e83"><div class="ttname"><a href="../../d1/df9/problem__26_2sol1_8c.html#ac70138609ef6aa6fabca57aca8681e83">compare</a></div><div class="ttdeci">int compare(const void *a, const void *b)</div><div class="ttdoc">comparison function for use with internal qsort algorithm</div><div class="ttdef"><b>Definition:</b> sol1.c:19</div></div>
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