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<div id="projectname">Algorithms_in_C
&#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="#func-members">Functions</a> &#124;
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<div class="title">sol1.c File Reference</div> </div>
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<p><a href="https://projecteuler.net/problem=23">Problem 23</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;time.h&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for sol1.c:</div>
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Functions</h2></td></tr>
<tr class="memitem:a1aca7f530f82b27100262adba9e7556b"><td class="memItemLeft" align="right" valign="top">char&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#a1aca7f530f82b27100262adba9e7556b">get_perfect_number</a> (unsigned long <a class="el" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>)</td></tr>
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<tr class="memitem:a4f128410e6582fe26488e2316cc96e17"><td class="memItemLeft" align="right" valign="top">unsigned long&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#a4f128410e6582fe26488e2316cc96e17">is_abundant</a> (unsigned long <a class="el" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>)</td></tr>
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<tr class="memitem:ac5d600bf3077f4188afc4c5cd2c40eaf"><td class="memItemLeft" align="right" valign="top">unsigned long&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a> (unsigned long <a class="el" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>)</td></tr>
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<tr class="memitem:a3ab61b5a1c4f2288625d160aa0ea8478"><td class="memItemLeft" align="right" valign="top">char&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">is_sum_of_abundant</a> (unsigned long <a class="el" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>)</td></tr>
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<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
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Variables</h2></td></tr>
<tr class="memitem:a337e545af040d754dc012b42523ee1ee"><td class="memItemLeft" align="right" valign="top">unsigned long&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#a337e545af040d754dc012b42523ee1ee">MAX_N</a> = 28123</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=23">Problem 23</a> solution </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ac5d600bf3077f4188afc4c5cd2c40eaf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac5d600bf3077f4188afc4c5cd2c40eaf">&#9670;&nbsp;</a></span>get_next_abundant()</h2>
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<td class="memname">unsigned long get_next_abundant </td>
<td>(</td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
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<p>Find the next abundant number after N and not including N </p>
<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; <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">for</span> (i = <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> + 1; !<a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#a4f128410e6582fe26488e2316cc96e17">is_abundant</a>(i); i++)</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; <span class="keywordflow">return</span> i;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1aca7f530f82b27100262adba9e7556b">&#9670;&nbsp;</a></span>get_perfect_number()</h2>
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<td class="memname">char get_perfect_number </td>
<td>(</td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
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<p>Returns: -1 if N is deficient 1 if N is abundant 0 if N is perfect </p>
<div class="fragment"><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;{</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sum = 1;</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; <span class="keywordtype">char</span> ret = 0;</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i = 2; i * i &lt;= <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>; i++)</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; {</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> % i == 0)</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; {</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; sum += i;</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> tmp = <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> / i;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <span class="keywordflow">if</span> (tmp != i)</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; sum += tmp;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; }</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; }</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; ret = sum == <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> ? 0 : (sum &gt; <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> ? 1 : -1);</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="comment">// #ifdef DEBUG</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="comment">// printf(&quot;%5lu: %5lu : %d\n&quot;, N, sum, ret);</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="comment">// #endif</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">return</span> ret;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4f128410e6582fe26488e2316cc96e17">&#9670;&nbsp;</a></span>is_abundant()</h2>
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<td class="memname">unsigned long is_abundant </td>
<td>(</td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
<td></td>
</tr>
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</div><div class="memdoc">
<p>Is the given number an abundant number (1) or not (0) </p>
<div class="fragment"><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;{</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#a1aca7f530f82b27100262adba9e7556b">get_perfect_number</a>(<a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>) == 1 ? 1 : 0;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3ab61b5a1c4f2288625d160aa0ea8478">&#9670;&nbsp;</a></span>is_sum_of_abundant()</h2>
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<td class="memname">char is_sum_of_abundant </td>
<td>(</td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
<td></td>
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</div><div class="memdoc">
<p>check if a given number can be represented as a sum of two abundant numbers. </p><dl class="section return"><dt>Returns</dt><dd>1 - if yes </dd>
<dd>
0 - if not </dd></dl>
<p>optimized logic: i + j = N where both i and j should be abundant hence we can simply check for j = N - i as we loop through i</p>
<div class="fragment"><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;{<span class="comment"></span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;<span class="comment"> /** optimized logic:</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="comment"> * i + j = N where both i and j should be abundant</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="comment"> * hence we can simply check for j = N - i as we loop through i</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="comment"> **/</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i = <a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a>(1); i &lt;= (<a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> &gt;&gt; 1);</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; i = <a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a>(i))</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#a4f128410e6582fe26488e2316cc96e17">is_abundant</a>(<a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> - i))</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="preprocessor">#ifdef DEBUG</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; printf(<span class="stringliteral">&quot;\t%4lu + %4lu = %4lu\n&quot;</span>, i, <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a> - i, <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; }</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">&#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>
</tr>
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<td></td>
<td>)</td>
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<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;{</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sum = 0;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordflow">if</span> (argc == 2)</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#a337e545af040d754dc012b42523ee1ee">MAX_N</a> = strtoul(argv[1], NULL, 10);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; printf(<span class="stringliteral">&quot;Using OpenMP parallleization with %d threads\n&quot;</span>,</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; omp_get_max_threads());</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; printf(<span class="stringliteral">&quot;Not using parallleization!\n&quot;</span>);</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keywordtype">double</span> total_duration = 0.f;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keywordtype">long</span> i;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;<span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="preprocessor">#pragma omp parallel for reduction(+ : sum) schedule(runtime)</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="keywordflow">for</span> (i = 1; i &lt;= <a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#a337e545af040d754dc012b42523ee1ee">MAX_N</a>; i++)</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; clock_t start_time = clock();</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="keywordflow">if</span> (!<a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">is_sum_of_abundant</a>(i))</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; sum += i;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; clock_t end_time = clock();</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; total_duration += (double)(end_time - start_time) / CLOCKS_PER_SEC;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; </div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; printf(<span class="stringliteral">&quot;... %5lu: %8lu\r&quot;</span>, i, sum);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="keywordflow">if</span> (i % 100 == 0)</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; fflush(stdout);</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; }</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; printf(<span class="stringliteral">&quot;Time taken: %.4g s\n&quot;</span>, total_duration);</div>
Documentation for aa8d74543f6c6d3bcda5cad166c418c3465791b2
2020-06-28 23:30:37 +08:00
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; printf(</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="stringliteral">&quot;Sum of numbers that cannot be represented as sum of two abundant &quot;</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="stringliteral">&quot;numbers : %lu\n&quot;</span>,</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; sum);</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;}</div>
Documentation for d5d68d5842827cbbc1d35d7ec67247b97acb8dde
2020-06-28 23:07:29 +08:00
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<h2 class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a337e545af040d754dc012b42523ee1ee">&#9670;&nbsp;</a></span>MAX_N</h2>
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<td class="memname">unsigned long MAX_N = 28123</td>
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<p>upper limit of numbers to check </p>
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<div class="ttc" id="aproblem__23_2sol1_8c_html_ac5d600bf3077f4188afc4c5cd2c40eaf"><div class="ttname"><a href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a></div><div class="ttdeci">unsigned long get_next_abundant(unsigned long N)</div><div class="ttdef"><b>Definition:</b> sol1.c:55</div></div>
Documentation for aa8d74543f6c6d3bcda5cad166c418c3465791b2
2020-06-28 23:30:37 +08:00
<div class="ttc" id="aproblem__13_2sol1_8c_html_a0240ac851181b84ac374872dc5434ee4"><div class="ttname"><a href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a></div><div class="ttdeci">#define N</div><div class="ttdef"><b>Definition:</b> sol1.c:109</div></div>
Documentation for d5d68d5842827cbbc1d35d7ec67247b97acb8dde
2020-06-28 23:07:29 +08:00
<div class="ttc" id="aproblem__23_2sol1_8c_html_a4f128410e6582fe26488e2316cc96e17"><div class="ttname"><a href="../../d7/ddb/problem__23_2sol1_8c.html#a4f128410e6582fe26488e2316cc96e17">is_abundant</a></div><div class="ttdeci">unsigned long is_abundant(unsigned long N)</div><div class="ttdef"><b>Definition:</b> sol1.c:47</div></div>
<div class="ttc" id="aproblem__23_2sol1_8c_html_a337e545af040d754dc012b42523ee1ee"><div class="ttname"><a href="../../d7/ddb/problem__23_2sol1_8c.html#a337e545af040d754dc012b42523ee1ee">MAX_N</a></div><div class="ttdeci">unsigned long MAX_N</div><div class="ttdef"><b>Definition:</b> sol1.c:13</div></div>
<div class="ttc" id="aproblem__23_2sol1_8c_html_a1aca7f530f82b27100262adba9e7556b"><div class="ttname"><a href="../../d7/ddb/problem__23_2sol1_8c.html#a1aca7f530f82b27100262adba9e7556b">get_perfect_number</a></div><div class="ttdeci">char get_perfect_number(unsigned long N)</div><div class="ttdef"><b>Definition:</b> sol1.c:21</div></div>
<div class="ttc" id="aproblem__23_2sol1_8c_html_a3ab61b5a1c4f2288625d160aa0ea8478"><div class="ttname"><a href="../../d7/ddb/problem__23_2sol1_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">is_sum_of_abundant</a></div><div class="ttdeci">char is_sum_of_abundant(unsigned long N)</div><div class="ttdef"><b>Definition:</b> sol1.c:69</div></div>
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