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<div class="headertitle"><div class="title">bubble_sort.cpp File Reference</div></div>
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<p>Bubble sort algorithm.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;string&gt;</code><br />
<code>#include &lt;utility&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for bubble_sort.cpp:</div>
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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="../../d5/d91/namespacesorting.html">sorting</a></td></tr>
<tr class="memdesc:d5/d91/namespacesorting"><td class="mdescLeft">&#160;</td><td class="mdescRight">for working with vectors <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/dd5/namespacebubble__sort.html">bubble_sort</a></td></tr>
<tr class="memdesc:d0/dd5/namespacebubble__sort"><td class="mdescLeft">&#160;</td><td class="mdescRight">Bubble sort algorithm. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:af3b12930a83915712461d53fe9659686" id="r_af3b12930a83915712461d53fe9659686"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:af3b12930a83915712461d53fe9659686"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;array)</td></tr>
<tr class="memdesc:af3b12930a83915712461d53fe9659686"><td class="mdescLeft">&#160;</td><td class="mdescRight">Bubble sort algorithm. <br /></td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementation. <br /></td></tr>
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<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>Bubble sort algorithm. </p>
<p>Bubble sort algorithm is the bubble sorting algorithm. The most important reason for calling the bubble is that the largest number is thrown at the end of this algorithm. This is all about the logic. In each iteration, the largest number is expired and when iterations are completed, the sorting takes place.</p>
<p>What is Swap?</p>
<p>Swap in the software means that two variables are displaced. An additional variable is required for this operation. x = 5, y = 10. We want x = 10, y = 5. Here we create the most variable to do it.</p>
<div class="fragment"><div class="line"><span class="keywordtype">int</span> z;</div>
<div class="line">z = x;</div>
<div class="line">x = y;</div>
<div class="line">y = z;</div>
</div><!-- fragment --><p>The above process is a typical displacement process. When x assigns the value to x, the old value of x is lost. That's why we created a variable z to create the first value of the value of x, and finally, we have assigned to y.</p>
<h2><a class="anchor" id="autotoc_md110"></a>
Bubble Sort Algorithm Analysis (Best Case - Worst Case - Average Case)</h2>
<h3><a class="anchor" id="autotoc_md111"></a>
Best Case</h3>
<p>Bubble Sort Best Case Performance. \(O(n)\). However, you can't get the best status in the code we shared above. This happens on the optimized bubble sort algorithm. It's right down there.</p>
<h3><a class="anchor" id="autotoc_md112"></a>
Worst Case</h3>
<p>Bubble Sort Worst Case Performance is \(O(n^{2})\). Why is that? Because if you remember Big O Notation, we were calculating the complexity of the algorithms in the nested loops. The \(n * (n - 1)\) product gives us \(O(n^{2})\) performance. In the worst case all the steps of the cycle will occur.</p>
<h3><a class="anchor" id="autotoc_md113"></a>
Average Case</h3>
<p>Bubble Sort is not an optimal algorithm. In average, \(O(n^{2})\) performance is taken.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Deepak-j-p" target="_blank">Deepak</a> </dd>
<dd>
<a href="https://github.com/hollowcrust" target="_blank">Nguyen Phuc Chuong</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="af3b12930a83915712461d53fe9659686" name="af3b12930a83915712461d53fe9659686"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af3b12930a83915712461d53fe9659686">&#9670;&#160;</a></span>bubble_sort()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; sorting::bubble_sort::bubble_sort </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>array</em></span></td><td>)</td>
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<p>Bubble sort algorithm. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">array</td><td>An array to be sorted </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The array sorted in ascending order </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 72</span> {</div>
<div class="line"><span class="lineno"> 73</span> <span class="comment">// swap_check flag to terminate the function early</span></div>
<div class="line"><span class="lineno"> 74</span> <span class="comment">// if there is no swap occurs in one iteration.</span></div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordtype">bool</span> swap_check = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordtype">int</span> size = array.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; (i &lt; size) &amp;&amp; (swap_check); i++) {</div>
<div class="line"><span class="lineno"> 78</span> swap_check = <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 79</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; size - 1 - i; j++) {</div>
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">if</span> (array[j] &gt; array[j + 1]) {</div>
<div class="line"><span class="lineno"> 81</span> swap_check = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 82</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(array[j], array[j + 1]);</div>
<div class="line"><span class="lineno"> 83</span> }</div>
<div class="line"><span class="lineno"> 84</span> }</div>
<div class="line"><span class="lineno"> 85</span> }</div>
<div class="line"><span class="lineno"> 86</span> </div>
<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">return</span> array;</div>
<div class="line"><span class="lineno"> 88</span>}</div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
<div class="ttc" id="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</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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<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"> 131</span> {</div>
<div class="line"><span class="lineno"> 132</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><span class="lineno"> 133</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 134</span>}</div>
<div class="ttc" id="abubble__sort_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementation.</div><div class="ttdef"><b>Definition</b> bubble_sort.cpp:96</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>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<p>Self-test implementation. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 96</span> {</div>
<div class="line"><span class="lineno"> 97</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> vec_1 = {3, 1, -9, 0};</div>
<div class="line"><span class="lineno"> 98</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> sorted_1 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_1);</div>
<div class="line"><span class="lineno"> 99</span> </div>
<div class="line"><span class="lineno"> 100</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> vec_2 = {3};</div>
<div class="line"><span class="lineno"> 101</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> sorted_2 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_2);</div>
<div class="line"><span class="lineno"> 102</span> </div>
<div class="line"><span class="lineno"> 103</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> vec_3 = {10, 10, 10, 10, 10};</div>
<div class="line"><span class="lineno"> 104</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> sorted_3 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_3);</div>
<div class="line"><span class="lineno"> 105</span> </div>
<div class="line"><span class="lineno"> 106</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> vec_4 = {1234, -273.1, 23, 150, 1234, 1555.55, -2000};</div>
<div class="line"><span class="lineno"> 107</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> sorted_4 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_4);</div>
<div class="line"><span class="lineno"> 108</span> </div>
<div class="line"><span class="lineno"> 109</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;char&gt;</a> vec_5 = {<span class="charliteral">&#39;z&#39;</span>, <span class="charliteral">&#39;Z&#39;</span>, <span class="charliteral">&#39;a&#39;</span>, <span class="charliteral">&#39;B&#39;</span>, <span class="charliteral">&#39; &#39;</span>, <span class="charliteral">&#39;c&#39;</span>, <span class="charliteral">&#39;a&#39;</span>};</div>
<div class="line"><span class="lineno"> 110</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;char&gt;</a> sorted_5 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_5);</div>
<div class="line"><span class="lineno"> 111</span> </div>
<div class="line"><span class="lineno"> 112</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::string&gt;</a> vec_6 = {<span class="stringliteral">&quot;Hello&quot;</span>, <span class="stringliteral">&quot;hello&quot;</span>, <span class="stringliteral">&quot;Helo&quot;</span>, <span class="stringliteral">&quot;Hi&quot;</span>, <span class="stringliteral">&quot;hehe&quot;</span>};</div>
<div class="line"><span class="lineno"> 113</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::string&gt;</a> sorted_6 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_6);</div>
<div class="line"><span class="lineno"> 114</span> </div>
<div class="line"><span class="lineno"> 115</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::pair&lt;int, char&gt;</a>&gt; vec_7 = {{10, <span class="charliteral">&#39;c&#39;</span>}, {2, <span class="charliteral">&#39;z&#39;</span>}, {10, <span class="charliteral">&#39;a&#39;</span>}, {0, <span class="charliteral">&#39;b&#39;</span>}, {-1, <span class="charliteral">&#39;z&#39;</span>}};</div>
<div class="line"><span class="lineno"> 116</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::pair&lt;int, char&gt;</a>&gt; sorted_7 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_7);</div>
<div class="line"><span class="lineno"> 117</span> </div>
<div class="line"><span class="lineno"> 118</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_1.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_1.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 119</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_2.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_2.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 120</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_3.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_3.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 121</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_4.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_4.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 122</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_5.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_5.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 123</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_6.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_6.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 124</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_7.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_7.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 125</span>}</div>
<div class="ttc" id="abegin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/begin.html">std::vector::begin</a></div><div class="ttdeci">T begin(T... args)</div></div>
<div class="ttc" id="abubble__sort_8cpp_html_af3b12930a83915712461d53fe9659686"><div class="ttname"><a href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a></div><div class="ttdeci">std::vector&lt; T &gt; bubble_sort(std::vector&lt; T &gt; &amp;array)</div><div class="ttdoc">Bubble sort algorithm.</div><div class="ttdef"><b>Definition</b> bubble_sort.cpp:72</div></div>
<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/end.html">std::vector::end</a></div><div class="ttdeci">T end(T... args)</div></div>
<div class="ttc" id="ais_sorted_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a></div><div class="ttdeci">T is_sorted(T... args)</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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