Documentation for 3cb693234c

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<div class="ttc" id="aleft_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/left.html">std::left</a></div><div class="ttdeci">T left(T... args)</div></div>
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<div class="ttc" id="abinomial__dist_8cpp_html_a78d36635232e54b5d71fcbf1eac9a49a"><div class="ttname"><a href="../../d6/db0/binomial__dist_8cpp.html#a78d36635232e54b5d71fcbf1eac9a49a">nCr</a></div><div class="ttdeci">double nCr(double n, double r)</div><div class="ttdef"><b>Definition:</b> binomial_dist.cpp:47</div></div>
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<a href="#func-members">Functions</a> </div>
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<div class="title">insertion_sort.cpp File Reference</div> </div>
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<p><a href="https://en.wikipedia.org/wiki/Insertion_sort">Insertion Sort Algorithm (Insertion Sort)</a>
<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 />
</div><div class="textblock"><div class="dynheader">
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Functions</h2></td></tr>
<tr class="memitem:af8171b438a1a748ef05dffd356deadae"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d0d/insertion__sort_8cpp.html#af8171b438a1a748ef05dffd356deadae">insertionSort</a> (int *arr, int n)</td></tr>
<tr class="memdesc:af8171b438a1a748ef05dffd356deadae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Insertion Sort Function. <a href="../../dd/d0d/insertion__sort_8cpp.html#af8171b438a1a748ef05dffd356deadae">More...</a><br /></td></tr>
<tr class="separator:af8171b438a1a748ef05dffd356deadae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d0d/insertion__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Insertion_sort">Insertion Sort Algorithm (Insertion Sort)</a> </p>
<dl class="section author"><dt>Author</dt><dd></dd></dl>
<p>Insertion sort is a simple sorting algorithm that builds the final sorted array one at a time. It is much less efficient compared to other sorting algorithms like heap sort, merge sort or quick sort. However it has several advantages such as </p><pre>
1 - easy to implement
2 - For small set of data it is quite efficient
3 - More efficient that other Quadratic complexity algorithms like
Selection sort or bubble sort.
4 - It's stable that is it does not change the relative order of
elements with equal keys
5 - Works on hand means it can sort the array or list as it receives.
</pre><p>It is based on the same idea that people use to sort the playing cards in their hands. the algorithms goes in the manner that we start iterating over the array of elements as soon as we find a unsorted element that is a misplaced element we place it at a sorted position.</p>
<p>Suppose initially we have </p><pre>
4 3 2 5 1</pre><pre>we start traversing from 4 till we reach 1
when we reach at 3 we find that it is misplaced so we take 3 and place
it at a correct position thus the array will become</pre><pre>3 4 2 5 1</pre><pre>in the next iteration we are at 2 we find that this is also misplaced so
we place it at the correct sorted position thus the array in this iteration
becomes</pre><pre>2 3 4 5 1</pre><pre>we does not do anything with 5 and move on to the next iteration and select
1 which is misplaced and place it at correct position. Thus, we have</pre><pre>1 2 3 4 5
</pre> </div><h2 class="groupheader">Function Documentation</h2>
<a id="af8171b438a1a748ef05dffd356deadae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af8171b438a1a748ef05dffd356deadae">&#9670;&nbsp;</a></span>insertionSort()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void insertionSort </td>
<td>(</td>
<td class="paramtype">int *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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</div><div class="memdoc">
<p>Insertion Sort Function. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>Array to be sorted </td></tr>
<tr><td class="paramname">n</td><td>Size of Array </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt; n; i++) {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="keywordtype">int</span> temp = arr[i];</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keywordtype">int</span> j = i - 1;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">while</span> (j &gt;= 0 &amp;&amp; temp &lt; arr[j]) {</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; arr[j + 1] = arr[j];</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; j--;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; arr[j + 1] = temp;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; }</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main Function </p>
<p>Running predefined tests to test algorithm</p>
<p>For user insteraction</p>
<div class="fragment"><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; {<span class="comment"></span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;<span class="comment"> /// Running predefined tests to test algorithm</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;<span class="comment"></span> <a class="code" href="../../dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;<span class="comment"> /// For user insteraction</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;<span class="comment"></span> <span class="keywordtype">int</span> n;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter the length of your array : &quot;</span>;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; n;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keywordtype">int</span> *arr = <span class="keyword">new</span> <span class="keywordtype">int</span>[n];</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter any &quot;</span> &lt;&lt; n &lt;&lt; <span class="stringliteral">&quot; Numbers for Unsorted Array : &quot;</span>;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; arr[i];</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <a class="code" href="../../dd/d0d/insertion__sort_8cpp.html#af8171b438a1a748ef05dffd356deadae">insertionSort</a>(arr, n);</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\nSorted Array : &quot;</span>;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; arr[i] &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; }</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; </div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keyword">delete</span>[] arr;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a88ec9ad42717780d6caaff9d3d6977f9">&#9670;&nbsp;</a></span>tests()</h2>
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<td class="memname">void tests </td>
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<p>Test Cases to test algorithm </p>
<div class="fragment"><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keywordtype">int</span> arr1[10] = {78, 34, 35, 6, 34, 56, 3, 56, 2, 4};</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <a class="code" href="../../dd/d0d/insertion__sort_8cpp.html#af8171b438a1a748ef05dffd356deadae">insertionSort</a>(arr1, 10);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(arr1, arr1 + 10));</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 1 Passed&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keywordtype">int</span> arr2[5] = {5, -3, 7, -2, 1};</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <a class="code" href="../../dd/d0d/insertion__sort_8cpp.html#af8171b438a1a748ef05dffd356deadae">insertionSort</a>(arr2, 5);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(arr2, arr2 + 5));</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 2 Passed&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<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>
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</li>
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<li>prime
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<li>TH()
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>

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