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<div class="headertitle"><div class="title">aliquot_sum.cpp</div></div>
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<div class="contents">
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<a href="../../de/d99/aliquot__sum_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span></div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d47/namespacemath.html">math</a> {</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span></div>
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<div class="foldopen" id="foldopen00036" data-start="{" data-end="}">
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf"> 36</a></span>uint64_t <a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">aliquot_sum</a>(<span class="keyword">const</span> uint64_t num) {</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">if</span> (num == 0 || num == 1) {</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">return</span> 0; <span class="comment">// The aliquot sum for 0 and 1 is 0</span></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> </div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> uint64_t sum = 0;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordflow">for</span> (uint64_t i = 1; i <= num / 2; i++) {</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">if</span> (num % i == 0) {</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> sum += i;</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> <span class="keywordflow">return</span> sum;</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>}</div>
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</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span>} <span class="comment">// namespace math</span></div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span></div>
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<div class="foldopen" id="foldopen00057" data-start="{" data-end="}">
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="../../de/d99/aliquot__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 57</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../de/d99/aliquot__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// Aliquot sum of 10 is 1 + 2 + 5 = 8</span></div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(10) == 8);</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// Aliquot sum of 15 is 1 + 3 + 5 = 9</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(15) == 9);</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// Aliquot sum of 1 is 0</span></div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(1) == 0);</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// Aliquot sum of 97 is 1 (the aliquot sum of a prime number is 1)</span></div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a>(97) == 1);</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> std::cout << <span class="stringliteral">"All the tests have successfully passed!\n"</span>;</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span>}</div>
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</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span></div>
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<div class="foldopen" id="foldopen00074" data-start="{" data-end="}">
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"><a class="line" href="../../de/d99/aliquot__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 74</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../de/d99/aliquot__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <a class="code hl_function" href="../../de/d99/aliquot__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run the self-test implementations</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">return</span> 0;</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>
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<div class="ttc" id="aaliquot__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../de/d99/aliquot__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="#l00057">aliquot_sum.cpp:57</a></div></div>
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<div class="ttc" id="aaliquot__sum_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../de/d99/aliquot__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00074">aliquot_sum.cpp:74</a></div></div>
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<div class="ttc" id="anamespacemath_html"><div class="ttname"><a href="../../dd/d47/namespacemath.html">math</a></div><div class="ttdoc">for assert</div></div>
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<div class="ttc" id="anamespacemath_html_ab37f3a7302a84179aae682c79d8390bf"><div class="ttname"><a href="../../dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf">math::aliquot_sum</a></div><div class="ttdeci">uint64_t aliquot_sum(const uint64_t num)</div><div class="ttdoc">to return the aliquot sum of a number</div><div class="ttdef"><b>Definition</b> <a href="#l00036">aliquot_sum.cpp:36</a></div></div>
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