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@@ -121,7 +138,9 @@ Include dependency graph for count_of_set_bits.cpp:</div>
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<p><a href="../../da/db8/count__of__set__bits_8cpp_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d81/namespacebit__manipulation.html">bit_manipulation</a></td></tr>
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Functions</h2></td></tr>
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<tr class="memdesc:a86c98dc299e4db28b73e08309d977e62"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function implements set bit count. <br /></td></tr>
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<p>A binary number consists of two digits. They are 0 &amp; 1. Digit 1 is known as set bit in computer terms. Worst Case Time Complexity: O(log n) Space complexity: O(1) </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Swastyy" target="_blank">Swastika Gupta</a> </dd>
<dd>
<a href="https://github.com/prashant-th18" target="_blank">Prashant Thakur</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../da/db8/count__of__set__bits_8cpp_source.html">count_of_set_bits.cpp</a>.</p>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>total number of set-bits in the binary representation of number <code>n</code> </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../da/db8/count__of__set__bits_8cpp_source.html#l00038">38</a> of file <a class="el" href="../../da/db8/count__of__set__bits_8cpp_source.html">count_of_set_bits.cpp</a>.</p>
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<p>Main function. </p>
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<p class="definition">Definition at line <a class="el" href="../../da/db8/count__of__set__bits_8cpp_source.html#l00057">57</a> of file <a class="el" href="../../da/db8/count__of__set__bits_8cpp_source.html">count_of_set_bits.cpp</a>.</p>
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<div class="line"><span class="lineno"> 58</span> <span class="comment">// n = 4 return 1</span></div>
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<div class="headertitle"><div class="title">count_of_set_bits.cpp</div></div>
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<a href="../../da/db8/count__of__set__bits_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>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d7/d81/namespacebit__manipulation.html">bit_manipulation</a> {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/dae/namespacecount__of__set__bits.html">count_of_set_bits</a> {</div>
<div class="foldopen" id="foldopen00038" data-start="{" data-end="}">
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="../../da/db8/count__of__set__bits_8cpp.html#a86c98dc299e4db28b73e08309d977e62"> 38</a></span>std::uint64_t <a class="code hl_function" href="../../da/db8/count__of__set__bits_8cpp.html#a86c98dc299e4db28b73e08309d977e62">countSetBits</a>(</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> std ::int64_t n) { <span class="comment">// int64_t is preferred over int so that</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// no Overflow can be there.</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordtype">int</span> count = 0; <span class="comment">// &quot;count&quot; variable is used to count number of set-bits(&#39;1&#39;)</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// in binary representation of number &#39;n&#39;</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">while</span> (n != 0) {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> ++count;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> n = (n &amp; (n - 1));</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> }</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="comment">// Why this algorithm is better than the standard one?</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="comment">// Because this algorithm runs the same number of times as the number of</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="comment">// set-bits in it. Means if my number is having &quot;3&quot; set bits, then this</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// while loop will run only &quot;3&quot; times!!</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span>}</div>
</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span>} <span class="comment">// namespace count_of_set_bits</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span>} <span class="comment">// namespace bit_manipulation</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span><span class="keyword">static</span> <span class="keywordtype">void</span> test() {</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// n = 4 return 1</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> assert(bit_manipulation::count_of_set_bits::countSetBits(4) == 1);</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// n = 6 return 2</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> assert(bit_manipulation::count_of_set_bits::countSetBits(6) == 2);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// n = 13 return 3</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> assert(bit_manipulation::count_of_set_bits::countSetBits(13) == 3);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// n = 9 return 2</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> assert(bit_manipulation::count_of_set_bits::countSetBits(9) == 2);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// n = 15 return 4</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> assert(bit_manipulation::count_of_set_bits::countSetBits(15) == 4);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="comment">// n = 25 return 3</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> assert(bit_manipulation::count_of_set_bits::countSetBits(25) == 3);</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// n = 97 return 3</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> assert(bit_manipulation::count_of_set_bits::countSetBits(97) == 3);</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// n = 31 return 5</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> assert(bit_manipulation::count_of_set_bits::countSetBits(31) == 5);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All test cases successfully passed!&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span>}</div>
<div class="foldopen" id="foldopen00080" data-start="{" data-end="}">
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"><a class="line" href="../../da/db8/count__of__set__bits_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 80</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../da/db8/count__of__set__bits_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> test(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span>}</div>
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<div class="ttc" id="acount__of__set__bits_8cpp_html_a86c98dc299e4db28b73e08309d977e62"><div class="ttname"><a href="../../da/db8/count__of__set__bits_8cpp.html#a86c98dc299e4db28b73e08309d977e62">bit_manipulation::count_of_set_bits::countSetBits</a></div><div class="ttdeci">std::uint64_t countSetBits(std ::int64_t n)</div><div class="ttdoc">The main function implements set bit count.</div><div class="ttdef"><b>Definition</b> <a href="#l00038">count_of_set_bits.cpp:38</a></div></div>
<div class="ttc" id="acount__of__set__bits_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../da/db8/count__of__set__bits_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="#l00080">count_of_set_bits.cpp:80</a></div></div>
<div class="ttc" id="anamespacebit__manipulation_html"><div class="ttname"><a href="../../d7/d81/namespacebit__manipulation.html">bit_manipulation</a></div><div class="ttdoc">for assert</div></div>
<div class="ttc" id="anamespacecount__of__set__bits_html"><div class="ttname"><a href="../../dd/dae/namespacecount__of__set__bits.html">count_of_set_bits</a></div><div class="ttdoc">Functions for the count sets bits implementation.</div></div>
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