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<div class="headertitle"><div class="title">check_amicable_pair.cpp</div></div>
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<div class="contents">
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<a href="../../d5/df6/check__amicable__pair_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="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</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="foldopen" id="foldopen00031" data-start="{" data-end="}">
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="../../dd/d47/namespacemath.html#af05567415a9ea36c254b54e3d5a2152a"> 31</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#af05567415a9ea36c254b54e3d5a2152a">sum_of_divisor</a>(<span class="keywordtype">int</span> num) {</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// Variable to store the sum of all proper divisors.</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordtype">int</span> sum = 1;</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// Below loop condition helps to reduce Time complexity by a factor of</span></div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// square root of the number.</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">int</span> div = 2; div * div <= num; ++div) {</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// Check 'div' is divisor of 'num'.</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> (num % div == 0) {</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// If both divisor are same, add once to 'sum'</span></div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">if</span> (div == (num / div)) {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> sum += div;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// If both divisor are not the same, add both to 'sum'.</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> sum += (div + (num / div));</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> <span class="keywordflow">return</span> sum;</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span>}</div>
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</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 class="foldopen" id="foldopen00058" data-start="{" data-end="}">
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="../../dd/d47/namespacemath.html#a8e6eede206201db0d1dbb618fa969bec"> 58</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a8e6eede206201db0d1dbb618fa969bec">are_amicable</a>(<span class="keywordtype">int</span> x, <span class="keywordtype">int</span> y) {</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">return</span> (<a class="code hl_function" href="../../dd/d47/namespacemath.html#af05567415a9ea36c254b54e3d5a2152a">sum_of_divisor</a>(x) == y) && (<a class="code hl_function" href="../../dd/d47/namespacemath.html#af05567415a9ea36c254b54e3d5a2152a">sum_of_divisor</a>(y) == x);</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>}</div>
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</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span>} <span class="comment">// namespace math</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
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<div class="foldopen" id="foldopen00067" data-start="{" data-end="}">
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="../../d5/df6/check__amicable__pair_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e"> 67</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d5/df6/check__amicable__pair_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>() {</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a8e6eede206201db0d1dbb618fa969bec">math::are_amicable</a>(220, 284) == <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a8e6eede206201db0d1dbb618fa969bec">math::are_amicable</a>(6368, 6232) == <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a8e6eede206201db0d1dbb618fa969bec">math::are_amicable</a>(458, 232) == <span class="keyword">false</span>);</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a8e6eede206201db0d1dbb618fa969bec">math::are_amicable</a>(17296, 18416) == <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a8e6eede206201db0d1dbb618fa969bec">math::are_amicable</a>(18416, 17296) == <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> </div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> std::cout << <span class="stringliteral">"All tests have successfully passed!"</span> << std::endl;</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>
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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="foldopen" id="foldopen00081" data-start="{" data-end="}">
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="../../d5/df6/check__amicable__pair_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 81</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d5/df6/check__amicable__pair_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <a class="code hl_function" href="../../d5/df6/check__amicable__pair_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// perform self-tests implementations</span></div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span>}</div>
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</div>
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<div class="ttc" id="acheck__amicable__pair_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="../../d5/df6/check__amicable__pair_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="#l00067">check_amicable_pair.cpp:67</a></div></div>
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<div class="ttc" id="acheck__amicable__pair_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d5/df6/check__amicable__pair_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="#l00081">check_amicable_pair.cpp:81</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_a8e6eede206201db0d1dbb618fa969bec"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a8e6eede206201db0d1dbb618fa969bec">math::are_amicable</a></div><div class="ttdeci">bool are_amicable(int x, int y)</div><div class="ttdoc">Function to check whether the pair is amicable or not.</div><div class="ttdef"><b>Definition</b> <a href="#l00058">check_amicable_pair.cpp:58</a></div></div>
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<div class="ttc" id="anamespacemath_html_af05567415a9ea36c254b54e3d5a2152a"><div class="ttname"><a href="../../dd/d47/namespacemath.html#af05567415a9ea36c254b54e3d5a2152a">math::sum_of_divisor</a></div><div class="ttdeci">int sum_of_divisor(int num)</div><div class="ttdoc">Function to calculate the sum of all the proper divisor of an integer.</div><div class="ttdef"><b>Definition</b> <a href="#l00031">check_amicable_pair.cpp:31</a></div></div>
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