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<p>Insertion 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;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for insertion_sort_recursive.cpp:</div>
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<p><a href="../../dd/d89/insertion__sort__recursive_8cpp_source.html">Go to the source code of this file.</a></p>
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<tr class="heading"><td colspan="2"><h2 id="header-namespaces" class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:sorting" id="r_sorting"><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>
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Functions</h2></td></tr>
<tr class="memitem:a78cb2f3b97b6db2c062b2a1df05c9ea9" id="r_a78cb2f3b97b6db2c062b2a1df05c9ea9"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a78cb2f3b97b6db2c062b2a1df05c9ea9 template"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting::insertionSort</a> (T *arr, int n)</td></tr>
<tr class="memdesc:a78cb2f3b97b6db2c062b2a1df05c9ea9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Insertion Sort Function. <br /></td></tr>
<tr class="memitem:a8fe6bac9e03f58abcc2ce26ef3de1b5f" id="r_a8fe6bac9e03f58abcc2ce26ef3de1b5f"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a8fe6bac9e03f58abcc2ce26ef3de1b5f template"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a8fe6bac9e03f58abcc2ce26ef3de1b5f">sorting::insertionSort</a> (std::vector&lt; T &gt; *arr)</td></tr>
<tr class="memdesc:a8fe6bac9e03f58abcc2ce26ef3de1b5f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Insertion Sort for a vector. <br /></td></tr>
<tr class="memitem:a59914553f24088342c139645a02a8a49" id="r_a59914553f24088342c139645a02a8a49"><td class="memTemplParams" colspan="2">template&lt;typename T&gt; </td></tr>
<tr class="memitem:a59914553f24088342c139645a02a8a49 template"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a59914553f24088342c139645a02a8a49">create_random_array</a> (T *arr, int N)</td></tr>
<tr class="memdesc:a59914553f24088342c139645a02a8a49"><td class="mdescLeft">&#160;</td><td class="mdescRight">Helper function to create a random array. <br /></td></tr>
<tr class="memitem:a483bb8ccf42aaf7375a83e91490eda1e" id="r_a483bb8ccf42aaf7375a83e91490eda1e"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a> ()</td></tr>
<tr class="memdesc:a483bb8ccf42aaf7375a83e91490eda1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">self test implementation <br /></td></tr>
<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>
</table>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Insertion Sort Algorithm. </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Fandroid745" target="_blank">Dhanush S</a></dd></dl>
<p>Insertion sort is a simple sorting algorithm that builds the final sorted array one element at a time. It is much less efficient compared to other sorting algorithms like heap sort, merge sort, or quick sort.</p>
<p>However, it has several advantages:</p><ul>
<li>Easy to implement.</li>
<li>Efficient for small data sets.</li>
<li>More efficient than other O(n²) algorithms like selection sort or bubble sort.</li>
<li>Stable: it does not change the relative order of elements with equal keys.</li>
</ul>
<p>Insertion sort works similarly to how people sort playing cards in their hands. The algorithm iterates through the list and inserts each element into its correct position in the sorted portion of the array.</p>
<p>The time complexity of the algorithm is \(O(n^2)\), and in some cases, it can be \(O(n)\).</p>
<p>Example execution:</p><ol type="1">
<li>Start with the array [4, 3, 2, 5, 1].</li>
<li>Insert 3 in its correct position: [3, 4, 2, 5, 1].</li>
<li>Insert 2: [2, 3, 4, 5, 1].</li>
<li>Continue this until the array is sorted: [1, 2, 3, 4, 5]. </li>
</ol>
<p class="definition">Definition in file <a class="el" href="../../dd/d89/insertion__sort__recursive_8cpp_source.html">insertion_sort_recursive.cpp</a>.</p>
</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
<a id="a59914553f24088342c139645a02a8a49" name="a59914553f24088342c139645a02a8a49"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a59914553f24088342c139645a02a8a49">&#9670;&#160;</a></span>create_random_array()</h2>
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template&lt;typename T&gt; </div>
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<td class="memname">void create_random_array </td>
<td>(</td>
<td class="paramtype">T *</td> <td class="paramname"><span class="paramname"><em>arr</em></span>, </td>
</tr>
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<td class="paramkey"></td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>N</em></span>&#160;)</td>
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<td class="mlabels-right">
<span class="mlabels"><span class="mlabel static">static</span></span> </td>
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<p>Helper function to create a random array. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>Type of the array elements </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>Array to fill (must be pre-allocated) </td></tr>
<tr><td class="paramname">N</td><td>Number of elements in the array </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="../../dd/d89/insertion__sort__recursive_8cpp_source.html#l00094">94</a> of file <a class="el" href="../../dd/d89/insertion__sort__recursive_8cpp_source.html">insertion_sort_recursive.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 94</span> {</div>
<div class="line"><span class="lineno"> 95</span> <span class="keywordflow">while</span> (N--) {</div>
<div class="line"><span class="lineno"> 96</span> <span class="keywordtype">double</span> r = (std::rand() % 10000 - 5000) / 100.f;</div>
<div class="line"><span class="lineno"> 97</span> arr[N] = <span class="keyword">static_cast&lt;</span>T<span class="keyword">&gt;</span>(r);</div>
<div class="line"><span class="lineno"> 98</span> }</div>
<div class="line"><span class="lineno"> 99</span>}</div>
</div><!-- fragment -->
</div>
</div>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<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>
<td>(</td>
<td class="paramtype">void</td> <td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
</tr>
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</div><div class="memdoc">
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on successful exit. </dd></dl>
<p>run self test implementations</p>
<p class="definition">Definition at line <a class="el" href="../../dd/d89/insertion__sort__recursive_8cpp_source.html#l00149">149</a> of file <a class="el" href="../../dd/d89/insertion__sort__recursive_8cpp_source.html">insertion_sort_recursive.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 149</span> {</div>
<div class="line"><span class="lineno"> 150</span> <a class="code hl_function" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); </div>
<div class="line"><span class="lineno"> 151</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 152</span>}</div>
<div class="ttc" id="ainsertion__sort__recursive_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">self test implementation</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d89/insertion__sort__recursive_8cpp_source.html#l00105">insertion_sort_recursive.cpp:105</a></div></div>
</div><!-- fragment -->
</div>
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<a id="a483bb8ccf42aaf7375a83e91490eda1e" name="a483bb8ccf42aaf7375a83e91490eda1e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">&#9670;&#160;</a></span>tests()</h2>
<div class="memitem">
<div class="memproto">
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<td class="mlabels-left">
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<td class="memname">void tests </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel static">static</span></span> </td>
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<p>self test implementation </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../dd/d89/insertion__sort__recursive_8cpp_source.html#l00105">105</a> of file <a class="el" href="../../dd/d89/insertion__sort__recursive_8cpp_source.html">insertion_sort_recursive.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 105</span> {</div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordtype">int</span> arr1[10] = {78, 34, 35, 6, 34, 56, 3, 56, 2, 4};</div>
<div class="line"><span class="lineno"> 107</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test 1... &quot;</span>;</div>
<div class="line"><span class="lineno"> 108</span> <a class="code hl_function" href="../../d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting::insertionSort</a>(arr1, 10);</div>
<div class="line"><span class="lineno"> 109</span> assert(std::is_sorted(arr1, arr1 + 10));</div>
<div class="line"><span class="lineno"> 110</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 111</span> </div>
<div class="line"><span class="lineno"> 112</span> <span class="keywordtype">int</span> arr2[5] = {5, -3, 7, -2, 1};</div>
<div class="line"><span class="lineno"> 113</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test 2... &quot;</span>;</div>
<div class="line"><span class="lineno"> 114</span> <a class="code hl_function" href="../../d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting::insertionSort</a>(arr2, 5);</div>
<div class="line"><span class="lineno"> 115</span> assert(std::is_sorted(arr2, arr2 + 5));</div>
<div class="line"><span class="lineno"> 116</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 117</span> </div>
<div class="line"><span class="lineno"> 118</span> <span class="keywordtype">float</span> arr3[5] = {5.6, -3.1, -3.0, -2.1, 1.8};</div>
<div class="line"><span class="lineno"> 119</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test 3... &quot;</span>;</div>
<div class="line"><span class="lineno"> 120</span> <a class="code hl_function" href="../../d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting::insertionSort</a>(arr3, 5);</div>
<div class="line"><span class="lineno"> 121</span> assert(std::is_sorted(arr3, arr3 + 5));</div>
<div class="line"><span class="lineno"> 122</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 123</span> </div>
<div class="line"><span class="lineno"> 124</span> std::vector&lt;float&gt; arr4({5.6, -3.1, -3.0, -2.1, 1.8});</div>
<div class="line"><span class="lineno"> 125</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test 4... &quot;</span>;</div>
<div class="line"><span class="lineno"> 126</span> <a class="code hl_function" href="../../d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting::insertionSort</a>(&amp;arr4);</div>
<div class="line"><span class="lineno"> 127</span> assert(std::is_sorted(std::begin(arr4), std::end(arr4)));</div>
<div class="line"><span class="lineno"> 128</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 129</span> </div>
<div class="line"><span class="lineno"> 130</span> <span class="keywordtype">int</span> arr5[50];</div>
<div class="line"><span class="lineno"> 131</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test 5... &quot;</span>;</div>
<div class="line"><span class="lineno"> 132</span> <a class="code hl_function" href="#a59914553f24088342c139645a02a8a49">create_random_array</a>(arr5, 50);</div>
<div class="line"><span class="lineno"> 133</span> <a class="code hl_function" href="../../d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting::insertionSort</a>(arr5, 50);</div>
<div class="line"><span class="lineno"> 134</span> assert(std::is_sorted(arr5, arr5 + 50));</div>
<div class="line"><span class="lineno"> 135</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 136</span> </div>
<div class="line"><span class="lineno"> 137</span> <span class="keywordtype">float</span> arr6[50];</div>
<div class="line"><span class="lineno"> 138</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test 6... &quot;</span>;</div>
<div class="line"><span class="lineno"> 139</span> <a class="code hl_function" href="#a59914553f24088342c139645a02a8a49">create_random_array</a>(arr6, 50);</div>
<div class="line"><span class="lineno"> 140</span> <a class="code hl_function" href="../../d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting::insertionSort</a>(arr6, 50);</div>
<div class="line"><span class="lineno"> 141</span> assert(std::is_sorted(arr6, arr6 + 50));</div>
<div class="line"><span class="lineno"> 142</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 143</span>}</div>
<div class="ttc" id="ainsertion__sort__recursive_8cpp_html_a59914553f24088342c139645a02a8a49"><div class="ttname"><a href="#a59914553f24088342c139645a02a8a49">create_random_array</a></div><div class="ttdeci">static void create_random_array(T *arr, int N)</div><div class="ttdoc">Helper function to create a random array.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d89/insertion__sort__recursive_8cpp_source.html#l00094">insertion_sort_recursive.cpp:94</a></div></div>
<div class="ttc" id="anamespacesorting_html_a78cb2f3b97b6db2c062b2a1df05c9ea9"><div class="ttname"><a href="../../d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting::insertionSort</a></div><div class="ttdeci">void insertionSort(T *arr, int n)</div><div class="ttdoc">Insertion Sort Function.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d0d/insertion__sort_8cpp_source.html#l00059">insertion_sort.cpp:59</a></div></div>
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