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<p>Returns the <a href="https://en.wikipedia.org/wiki/Hamming_distance" target="_blank">Hamming distance</a> between two integers.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for hamming_distance.cpp:</div>
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<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>
<tr class="memdesc:d7/d81/namespacebit__manipulation"><td class="mdescLeft">&#160;</td><td class="mdescRight">for IO operations <br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d1c/namespacehamming__distance.html">hamming_distance</a></td></tr>
<tr class="memdesc:d4/d1c/namespacehamming__distance"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance" target="_blank">Hamming distance</a> implementation. <br /></td></tr>
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Functions</h2></td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to the test hamming distance. <br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Returns the <a href="https://en.wikipedia.org/wiki/Hamming_distance" target="_blank">Hamming distance</a> between two integers. </p>
<p>To find hamming distance between two integers, we take their xor, which will have a set bit iff those bits differ in the two numbers. Hence, we return the number of such set bits.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/ravibitsgoa" target="_blank">Ravishankar Joshi</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a65d845df3fecff7087a2126c7b72030b">&#9670;&#160;</a></span>bitCount()</h2>
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<td class="memname">uint64_t bit_manipulation::hamming_distance::bitCount </td>
<td>(</td>
<td class="paramtype">uint64_t</td> <td class="paramname"><span class="paramname"><em>value</em></span></td><td>)</td>
<td></td>
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<p>This function returns the number of set bits in the given number. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">value</td><td>the number of which we want to count the number of set bits. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the number of set bits in the given number. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 34</span> {</div>
<div class="line"><span class="lineno"> 35</span> uint64_t count = 0;</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">while</span> (value) { <span class="comment">// until all bits are zero</span></div>
<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">if</span> (value &amp; 1) { <span class="comment">// check lower bit</span></div>
<div class="line"><span class="lineno"> 38</span> count++;</div>
<div class="line"><span class="lineno"> 39</span> }</div>
<div class="line"><span class="lineno"> 40</span> value &gt;&gt;= 1; <span class="comment">// shift bits, removing lower bit</span></div>
<div class="line"><span class="lineno"> 41</span> }</div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 43</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a40ba9fe8b5df5c268f0c7d677ff2fe80">&#9670;&#160;</a></span>hamming_distance() <span class="overload">[1/2]</span></h2>
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<td class="memname">uint64_t bit_manipulation::hamming_distance::hamming_distance </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;</td> <td class="paramname"><span class="paramname"><em>a</em></span>, </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;</td> <td class="paramname"><span class="paramname"><em>b</em></span>&#160;)</td>
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<p>This function returns the hamming distance between two strings. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">a</td><td>the first string </td></tr>
<tr><td class="paramname">b</td><td>the second string </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the number of characters differing between the two strings. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 59</span> {</div>
<div class="line"><span class="lineno"> 60</span> assert(a.size() == b.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>());</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordtype">size_t</span> n = a.size();</div>
<div class="line"><span class="lineno"> 62</span> uint64_t count = 0;</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><span class="lineno"> 64</span> count += (b[i] != a[i]);</div>
<div class="line"><span class="lineno"> 65</span> }</div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 67</span>}</div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">std::string::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#abfe6fbb2f3460a2623c96f283178a07a">&#9670;&#160;</a></span>hamming_distance() <span class="overload">[2/2]</span></h2>
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<td class="memname">uint64_t bit_manipulation::hamming_distance::hamming_distance </td>
<td>(</td>
<td class="paramtype">uint64_t</td> <td class="paramname"><span class="paramname"><em>a</em></span>, </td>
</tr>
<tr>
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<td class="paramtype">uint64_t</td> <td class="paramname"><span class="paramname"><em>b</em></span>&#160;)</td>
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<p>This function returns the hamming distance between two integers. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">a</td><td>the first number </td></tr>
<tr><td class="paramname">b</td><td>the second number </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the number of bits differing between the two integers. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 51</span>{ <span class="keywordflow">return</span> <a class="code hl_function" href="#a65d845df3fecff7087a2126c7b72030b">bitCount</a>(a ^ b); }</div>
<div class="ttc" id="ahamming__distance_8cpp_html_a65d845df3fecff7087a2126c7b72030b"><div class="ttname"><a href="#a65d845df3fecff7087a2126c7b72030b">bit_manipulation::hamming_distance::bitCount</a></div><div class="ttdeci">uint64_t bitCount(uint64_t value)</div><div class="ttdef"><b>Definition</b> hamming_distance.cpp:34</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<td class="paramtype">void</td> <td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 99</span> {</div>
<div class="line"><span class="lineno"> 100</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
<div class="line"><span class="lineno"> 101</span> uint64_t a = 11; <span class="comment">// 1011 in binary</span></div>
<div class="line"><span class="lineno"> 102</span> uint64_t b = 2; <span class="comment">// 0010 in binary</span></div>
<div class="line"><span class="lineno"> 103</span> </div>
<div class="line"><span class="lineno"> 104</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Hamming distance between &quot;</span> &lt;&lt; a &lt;&lt; <span class="stringliteral">&quot; and &quot;</span> &lt;&lt; b &lt;&lt; <span class="stringliteral">&quot; is &quot;</span></div>
<div class="line"><span class="lineno"> 105</span> &lt;&lt; <a class="code hl_function" href="#abfe6fbb2f3460a2623c96f283178a07a">bit_manipulation::hamming_distance::hamming_distance</a>(a, b)</div>
<div class="line"><span class="lineno"> 106</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 107</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<div class="ttc" id="ahamming__distance_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Function to the test hamming distance.</div><div class="ttdef"><b>Definition</b> hamming_distance.cpp:75</div></div>
<div class="ttc" id="ahamming__distance_8cpp_html_abfe6fbb2f3460a2623c96f283178a07a"><div class="ttname"><a href="#abfe6fbb2f3460a2623c96f283178a07a">bit_manipulation::hamming_distance::hamming_distance</a></div><div class="ttdeci">uint64_t hamming_distance(uint64_t a, uint64_t b)</div><div class="ttdef"><b>Definition</b> hamming_distance.cpp:51</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<p>Function to the test hamming distance. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 75</span> {</div>
<div class="line"><span class="lineno"> 76</span> assert(bit_manipulation::hamming_distance::hamming_distance(11, 2) == 2);</div>
<div class="line"><span class="lineno"> 77</span> assert(bit_manipulation::hamming_distance::hamming_distance(2, 0) == 1);</div>
<div class="line"><span class="lineno"> 78</span> assert(bit_manipulation::hamming_distance::hamming_distance(11, 0) == 3);</div>
<div class="line"><span class="lineno"> 79</span> </div>
<div class="line"><span class="lineno"> 80</span> assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;1101&quot;</span>,</div>
<div class="line"><span class="lineno"> 81</span> <span class="stringliteral">&quot;1111&quot;</span>) == 1);</div>
<div class="line"><span class="lineno"> 82</span> assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;1111&quot;</span>,</div>
<div class="line"><span class="lineno"> 83</span> <span class="stringliteral">&quot;1111&quot;</span>) == 0);</div>
<div class="line"><span class="lineno"> 84</span> assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;0000&quot;</span>,</div>
<div class="line"><span class="lineno"> 85</span> <span class="stringliteral">&quot;1111&quot;</span>) == 4);</div>
<div class="line"><span class="lineno"> 86</span> </div>
<div class="line"><span class="lineno"> 87</span> assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;alpha&quot;</span>,</div>
<div class="line"><span class="lineno"> 88</span> <span class="stringliteral">&quot;alphb&quot;</span>) == 1);</div>
<div class="line"><span class="lineno"> 89</span> assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;abcd&quot;</span>,</div>
<div class="line"><span class="lineno"> 90</span> <span class="stringliteral">&quot;abcd&quot;</span>) == 0);</div>
<div class="line"><span class="lineno"> 91</span> assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;dcba&quot;</span>,</div>
<div class="line"><span class="lineno"> 92</span> <span class="stringliteral">&quot;abcd&quot;</span>) == 4);</div>
<div class="line"><span class="lineno"> 93</span>}</div>
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