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<a href="#func-members">Functions</a> |
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<div class="headertitle"><div class="title">sol2.c File Reference</div></div>
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<p><a href="https://projecteuler.net/problem=23" target="_blank">Problem 23</a> solution - optimization using look-up array
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <stdio.h></code><br />
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<code>#include <stdlib.h></code><br />
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<code>#include <time.h></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for sol2.c:</div>
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</div>
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</div><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:a1aca7f530f82b27100262adba9e7556b"><td class="memItemLeft" align="right" valign="top">char </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/dbd/problem__23_2sol2_8c.html#a1aca7f530f82b27100262adba9e7556b">get_perfect_number</a> (unsigned long N)</td></tr>
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<tr class="separator:a1aca7f530f82b27100262adba9e7556b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a34f4ad85151e3a43368ae67f42347f56"><td class="memItemLeft" align="right" valign="top">char </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/dbd/problem__23_2sol2_8c.html#a34f4ad85151e3a43368ae67f42347f56">is_abundant</a> (unsigned long N)</td></tr>
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<tr class="memdesc:a34f4ad85151e3a43368ae67f42347f56"><td class="mdescLeft"> </td><td class="mdescRight">Is the given number an abundant number (1) or not (0) <a href="../../d4/dbd/problem__23_2sol2_8c.html#a34f4ad85151e3a43368ae67f42347f56">More...</a><br /></td></tr>
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<tr class="separator:a34f4ad85151e3a43368ae67f42347f56"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac5d600bf3077f4188afc4c5cd2c40eaf"><td class="memItemLeft" align="right" valign="top">unsigned long </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/dbd/problem__23_2sol2_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a> (unsigned long N)</td></tr>
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<tr class="memdesc:ac5d600bf3077f4188afc4c5cd2c40eaf"><td class="mdescLeft"> </td><td class="mdescRight">Find the next abundant number after N and not including N. <a href="../../d4/dbd/problem__23_2sol2_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">More...</a><br /></td></tr>
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<tr class="separator:ac5d600bf3077f4188afc4c5cd2c40eaf"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3ab61b5a1c4f2288625d160aa0ea8478"><td class="memItemLeft" align="right" valign="top">char </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/dbd/problem__23_2sol2_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">is_sum_of_abundant</a> (unsigned long N)</td></tr>
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<tr class="memdesc:a3ab61b5a1c4f2288625d160aa0ea8478"><td class="mdescLeft"> </td><td class="mdescRight">check if a given number can be represented as a sum of two abundant numbers. <a href="../../d4/dbd/problem__23_2sol2_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">More...</a><br /></td></tr>
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<tr class="separator:a3ab61b5a1c4f2288625d160aa0ea8478"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/dbd/problem__23_2sol2_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
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<tr class="memdesc:a3c04138a5bfe5d72780bb7e82a18e627"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <a href="../../d4/dbd/problem__23_2sol2_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">More...</a><br /></td></tr>
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<tr class="separator:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="var-members" name="var-members"></a>
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Variables</h2></td></tr>
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<tr class="memitem:af920a16d6ef69dd604b283f427892e06"><td class="memItemLeft" align="right" valign="top">char * </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/dbd/problem__23_2sol2_8c.html#af920a16d6ef69dd604b283f427892e06">abundant_flags</a> = NULL</td></tr>
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<tr class="memdesc:af920a16d6ef69dd604b283f427892e06"><td class="mdescLeft"> </td><td class="mdescRight">This is the global array to be used to store a flag to identify if a particular number is abundant (1) or not (0). <a href="../../d4/dbd/problem__23_2sol2_8c.html#af920a16d6ef69dd604b283f427892e06">More...</a><br /></td></tr>
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<tr class="separator:af920a16d6ef69dd604b283f427892e06"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p ><a href="https://projecteuler.net/problem=23" target="_blank">Problem 23</a> solution - optimization using look-up array </p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a></dd></dl>
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<p>Optimization applied - compute & store abundant numbers once into a look-up array. </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ac5d600bf3077f4188afc4c5cd2c40eaf" name="ac5d600bf3077f4188afc4c5cd2c40eaf"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ac5d600bf3077f4188afc4c5cd2c40eaf">◆ </a></span>get_next_abundant()</h2>
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<td class="memname">unsigned long get_next_abundant </td>
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<td>(</td>
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<td class="paramtype">unsigned long </td>
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<td class="paramname"><em>N</em></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>Find the next abundant number after N and not including N. </p>
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<div class="fragment"><div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>{</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i;</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">/* keep checking successive numbers till an abundant number is found */</span></div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">for</span> (i = N + 1; !<a class="code hl_function" href="../../d4/dbd/problem__23_2sol2_8c.html#a34f4ad85151e3a43368ae67f42347f56">is_abundant</a>(i); ++i)</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> {</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> ;</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">return</span> i;</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>}</div>
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<div class="ttc" id="aproblem__23_2sol2_8c_html_a34f4ad85151e3a43368ae67f42347f56"><div class="ttname"><a href="../../d4/dbd/problem__23_2sol2_8c.html#a34f4ad85151e3a43368ae67f42347f56">is_abundant</a></div><div class="ttdeci">char is_abundant(unsigned long N)</div><div class="ttdoc">Is the given number an abundant number (1) or not (0)</div><div class="ttdef"><b>Definition:</b> sol2.c:59</div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d4/dbd/problem__23_2sol2_8c_ac5d600bf3077f4188afc4c5cd2c40eaf_cgraph.svg" width="290" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div>
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</div>
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</div>
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</div>
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<a id="a1aca7f530f82b27100262adba9e7556b" name="a1aca7f530f82b27100262adba9e7556b"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a1aca7f530f82b27100262adba9e7556b">◆ </a></span>get_perfect_number()</h2>
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<td class="memname">char get_perfect_number </td>
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<td>(</td>
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<td class="paramtype">unsigned long </td>
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<td class="paramname"><em>N</em></td><td>)</td>
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<td></td>
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</tr>
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</div><div class="memdoc">
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<dl class="section return"><dt>Returns</dt><dd>-1 if N is deficient </dd>
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<dd>
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1 if N is abundant </dd>
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<dd>
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0 if N is perfect </dd></dl>
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<div class="fragment"><div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span>{</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sum = 1;</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordtype">char</span> ret = 0;</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i = 2; i * i <= N; i++)</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> {</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">if</span> (N % i == 0)</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> {</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> sum += i;</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> tmp = N / i;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">if</span> (tmp != i)</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> {</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> sum += tmp;</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> }</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> }</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> }</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> ret = sum == N ? 0 : (sum > N ? 1 : -1);</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="preprocessor">#ifdef DEBUG</span></div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> printf(<span class="stringliteral">"%5lu: %5lu : %d\n"</span>, N, sum, ret);</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="preprocessor">#endif</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">return</span> ret;</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span>}</div>
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<a id="a34f4ad85151e3a43368ae67f42347f56" name="a34f4ad85151e3a43368ae67f42347f56"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a34f4ad85151e3a43368ae67f42347f56">◆ </a></span>is_abundant()</h2>
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<td class="memname">char is_abundant </td>
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<td>(</td>
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<td class="paramtype">unsigned long </td>
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<td class="paramname"><em>N</em></td><td>)</td>
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<p>Is the given number an abundant number (1) or not (0) </p>
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<div class="fragment"><div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>{</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// return abundant_flags[N >> 3] & (1 << N % 8) ? 1 : 0;</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d4/dbd/problem__23_2sol2_8c.html#af920a16d6ef69dd604b283f427892e06">abundant_flags</a>[N >> 3] & (1 << (N & 7))</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> ? 1</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> : 0; <span class="comment">/* optimized modulo operation */</span></div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span>}</div>
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<div class="ttc" id="aproblem__23_2sol2_8c_html_af920a16d6ef69dd604b283f427892e06"><div class="ttname"><a href="../../d4/dbd/problem__23_2sol2_8c.html#af920a16d6ef69dd604b283f427892e06">abundant_flags</a></div><div class="ttdeci">char * abundant_flags</div><div class="ttdoc">This is the global array to be used to store a flag to identify if a particular number is abundant (1...</div><div class="ttdef"><b>Definition:</b> sol2.c:24</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3ab61b5a1c4f2288625d160aa0ea8478">◆ </a></span>is_sum_of_abundant()</h2>
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<td class="memname">char is_sum_of_abundant </td>
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<td>(</td>
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<td class="paramtype">unsigned long </td>
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<td class="paramname"><em>N</em></td><td>)</td>
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<p>check if a given number can be represented as a sum of two abundant numbers. </p>
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<dl class="section return"><dt>Returns</dt><dd>1 - if yes </dd>
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<dd>
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0 - if not </dd></dl>
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<div class="fragment"><div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span>{</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">/* optimized logic:</span></div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span><span class="comment"> * i + j = N where both i and j should be abundant</span></div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span><span class="comment"> * hence we can simply check for j = N - i as we loop through i</span></div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span><span class="comment"> */</span></div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i = <a class="code hl_function" href="../../d4/dbd/problem__23_2sol2_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a>(1); i <= (N >> 1);</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> i = <a class="code hl_function" href="../../d4/dbd/problem__23_2sol2_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a>(i))</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> {</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d4/dbd/problem__23_2sol2_8c.html#a34f4ad85151e3a43368ae67f42347f56">is_abundant</a>(N - i))</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> {</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span><span class="preprocessor">#ifdef DEBUG</span></div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> printf(<span class="stringliteral">"\t%4lu + %4lu = %4lu\n"</span>, i, N - i, N);</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span><span class="preprocessor">#endif</span></div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordflow">return</span> 1;</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> }</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>}</div>
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<div class="ttc" id="aproblem__23_2sol2_8c_html_ac5d600bf3077f4188afc4c5cd2c40eaf"><div class="ttname"><a href="../../d4/dbd/problem__23_2sol2_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a></div><div class="ttdeci">unsigned long get_next_abundant(unsigned long N)</div><div class="ttdoc">Find the next abundant number after N and not including N.</div><div class="ttdef"><b>Definition:</b> sol2.c:70</div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d4/dbd/problem__23_2sol2_8c_a3ab61b5a1c4f2288625d160aa0ea8478_cgraph.svg" width="483" height="63"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="a3c04138a5bfe5d72780bb7e82a18e627" name="a3c04138a5bfe5d72780bb7e82a18e627"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>argc</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">char ** </td>
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<td class="paramname"><em>argv</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<p>Main function. </p>
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<div class="fragment"><div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span>{</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordtype">long</span> MAX_N = 28123; <span class="comment">/* Limit of numbers to check */</span></div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sum = 0;</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">if</span> (argc == 2)</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> {</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> MAX_N = strtoul(argv[1], NULL, 10);</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> }</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="comment">/* byte array to store flags to identify abundant numbers</span></div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span><span class="comment"> * the flags are identified by bits</span></div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span><span class="comment"> */</span></div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <a class="code hl_variable" href="../../d4/dbd/problem__23_2sol2_8c.html#af920a16d6ef69dd604b283f427892e06">abundant_flags</a> = (<span class="keywordtype">char</span> *)<a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#afdddaa949a93c1ef559a638e98f9c21b">calloc</a>(MAX_N >> 3, 1);</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">if</span> (!<a class="code hl_variable" href="../../d4/dbd/problem__23_2sol2_8c.html#af920a16d6ef69dd604b283f427892e06">abundant_flags</a>)</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> {</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> perror(<span class="stringliteral">"Unable to allocate memoey!"</span>);</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordflow">return</span> -1;</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> }</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> </div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> printf(<span class="stringliteral">"Using OpenMP parallleization with %d threads\n"</span>,</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> omp_get_max_threads());</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span><span class="preprocessor">#else</span></div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> printf(<span class="stringliteral">"Not using parallleization!\n"</span>);</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span><span class="preprocessor">#endif</span></div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> clock_t start_time = clock();</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> </div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="comment">/* Loop to set abundant flags */</span></div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keywordtype">long</span> N;</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span><span class="preprocessor">#pragma omp for schedule(runtime)</span></div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span><span class="preprocessor">#endif</span></div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">for</span> (N = 1; N <= MAX_N; N++)</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> {</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordtype">char</span> ret = <a class="code hl_function" href="../../d4/dbd/problem__23_2sol2_8c.html#a1aca7f530f82b27100262adba9e7556b">get_perfect_number</a>(N);</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keywordflow">if</span> (ret == 1)</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> {</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="comment">// int byte_offset = N % 8, index = N >> 3;</span></div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keywordtype">int</span> byte_offset = N & 7, index = N >> 3;</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span><span class="preprocessor">#pragma omp critical</span></div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span><span class="preprocessor">#endif</span></div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <a class="code hl_variable" href="../../d4/dbd/problem__23_2sol2_8c.html#af920a16d6ef69dd604b283f427892e06">abundant_flags</a>[index] |= ret << byte_offset;</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> }</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="comment">// if (i % 100 == 0)</span></div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="comment">// printf("... %5lu: %8lu\r", i, sum);</span></div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> }</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> </div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> clock_t end_time = clock();</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keywordtype">double</span> t1 = 1e3 * (end_time - start_time) / CLOCKS_PER_SEC;</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> printf(<span class="stringliteral">"Time taken to get abundant numbers: %.4g ms\n"</span>, t1);</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> </div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> clock_t t2 = 0;</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keywordtype">long</span> i;</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span><span class="preprocessor">#pragma omp parallel for schedule(runtime) reduction(+ : sum)</span></div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span><span class="preprocessor">#endif</span></div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordflow">for</span> (i = 1; i < MAX_N; i++)</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> {</div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> clock_t start_time1 = clock();</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="../../d4/dbd/problem__23_2sol2_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">is_sum_of_abundant</a>(i))</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> {</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// #ifdef _OPENMP</span></div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// #pragma omp critical</span></div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="comment">// #endif</span></div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> sum += i;</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> }</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> clock_t end_time1 = clock();</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span><span class="preprocessor">#pragma omp critical</span></div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span><span class="preprocessor">#endif</span></div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> t2 += end_time1 - start_time1;</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> printf(<span class="stringliteral">"... %5lu: %8lu\r"</span>, i, sum);</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordflow">if</span> (i % 100 == 0)</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> {</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> fflush(stdout);</div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> }</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> }</div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span><span class="preprocessor">#ifdef DEBUG</span></div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> putchar(<span class="charliteral">'\n'</span>);</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span><span class="preprocessor">#endif</span></div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordtype">double</span> t22 = 1e3 * t2 / CLOCKS_PER_SEC;</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> printf(<span class="stringliteral">"Time taken for final sum: %.4g ms\nTotal Time taken: %.4g ms\n"</span>,</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> t22, t1 + t22);</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> printf(<span class="stringliteral">"Memory used: %lu bytes\n"</span>, MAX_N >> 3);</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> printf(</div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="stringliteral">"Sum of numbers that cannot be represented as sum of two abundant "</span></div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="stringliteral">"numbers : %lu\n"</span>,</div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> sum);</div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a>(<a class="code hl_variable" href="../../d4/dbd/problem__23_2sol2_8c.html#af920a16d6ef69dd604b283f427892e06">abundant_flags</a>);</div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> </div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span>}</div>
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<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>
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<div class="ttc" id="amalloc__dbg_8h_html_afdddaa949a93c1ef559a638e98f9c21b"><div class="ttname"><a href="../../d2/ddd/malloc__dbg_8h.html#afdddaa949a93c1ef559a638e98f9c21b">calloc</a></div><div class="ttdeci">#define calloc(elemCount, elemSize)</div><div class="ttdoc">This macro replace the standard calloc function with calloc_dbg.</div><div class="ttdef"><b>Definition:</b> malloc_dbg.h:22</div></div>
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<div class="ttc" id="aproblem__23_2sol2_8c_html_a1aca7f530f82b27100262adba9e7556b"><div class="ttname"><a href="../../d4/dbd/problem__23_2sol2_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> sol2.c:31</div></div>
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<div class="ttc" id="aproblem__23_2sol2_8c_html_a3ab61b5a1c4f2288625d160aa0ea8478"><div class="ttname"><a href="../../d4/dbd/problem__23_2sol2_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">is_sum_of_abundant</a></div><div class="ttdeci">char is_sum_of_abundant(unsigned long N)</div><div class="ttdoc">check if a given number can be represented as a sum of two abundant numbers.</div><div class="ttdef"><b>Definition:</b> sol2.c:87</div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d4/dbd/problem__23_2sol2_8c_a3c04138a5bfe5d72780bb7e82a18e627_cgraph.svg" width="582" height="88"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div>
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</div>
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</div>
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</div>
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<h2 class="groupheader">Variable Documentation</h2>
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<a id="af920a16d6ef69dd604b283f427892e06" name="af920a16d6ef69dd604b283f427892e06"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#af920a16d6ef69dd604b283f427892e06">◆ </a></span>abundant_flags</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">char* abundant_flags = NULL</td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>This is the global array to be used to store a flag to identify if a particular number is abundant (1) or not (0). </p>
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<p >Using a whole byte to store a binary info would be redundant. We will use each byte to represent 8 numbers by relying on bits. This saves memory required by 1/8 </p>
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