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<div class="title">saddleback_search.cpp File Reference</div> </div>
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<p>Implementation of <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array">Saddleback Algorithm</a> for 2D arrays.
<a href="#details">More...</a></p>
<div class="textblock"><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 saddleback_search.cpp:</div>
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Namespaces</h2></td></tr>
<tr class="memitem:d9/dca/namespacesearch"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/dca/namespacesearch.html">search</a></td></tr>
<tr class="memdesc:d9/dca/namespacesearch"><td class="mdescLeft">&#160;</td><td class="mdescRight">Search algorithms. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:d0/dda/namespacesaddleback"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/dda/namespacesaddleback.html">saddleback</a></td></tr>
<tr class="memdesc:d0/dda/namespacesaddleback"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function for implementing <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array">Saddleback Algorithm</a>. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a0a2f1f1a4c93bb57e8c16b8d08f26916"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>&lt; uint32_t, uint32_t &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d22/saddleback__search_8cpp.html#a0a2f1f1a4c93bb57e8c16b8d08f26916">search::saddleback::saddleback</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int32_t &gt;&gt; <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#aed8766713ee9b561a4acdcdff5f90ea5">matrix</a>, int32_t element)</td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d22/saddleback__search_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test implementations. <a href="../../d3/d22/saddleback__search_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></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="../../d3/d22/saddleback__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d3/d22/saddleback__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array">Saddleback Algorithm</a> for 2D arrays. </p>
<p>Saddleback Algorithm is an algorithm that searches 2D array in linear time, i.e, O(m + n), where m is number of rows and n is number of columns of 2D array. Also, each row and column of the matrix should be sorted beforehand for this algorithm to work.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/HashirGJ8842">Hashir Niazi</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<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>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></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"><a name="l00103"></a><span class="lineno"> 103</span>&#160; {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <a class="code" href="../../d3/d22/saddleback__search_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0a2f1f1a4c93bb57e8c16b8d08f26916">&#9670;&nbsp;</a></span>saddleback()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>&lt;uint32_t, uint32_t&gt; search::saddleback::saddleback </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; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int32_t &gt;&gt;&#160;</td>
<td class="paramname"><em>matrix</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int32_t&#160;</td>
<td class="paramname"><em>element</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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<p>This function implements <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array">Saddleback Algorithm</a>, on a sorted 2D array, and finds the location of the element needed to search </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">matrix</td><td>2D matrix which is sorted on the basis of rows and columns </td></tr>
<tr><td class="paramname">element</td><td>element to be searched </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>An <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a> of with row and column populated within it, if the element is present. </dd>
<dd>
An <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a> with (0, 0), if the element is not present. </dd></dl>
<div class="fragment"><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; {</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; uint32_t left_index = 0;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; uint32_t right_index = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[0].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() - 1; <span class="comment">// Start from top right corner</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordflow">while</span> (left_index &lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) { <span class="comment">// Exit once the value of indexes get out of range.</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keywordflow">if</span> (element ==</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[left_index]</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; [right_index]) { <span class="comment">// If value on this position of matrix is</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="comment">// equal to element, return (row, column).</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordflow">return</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(left_index+1, right_index+1);</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (element &gt;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[left_index]</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; [right_index]) { <span class="comment">// Else if value on this position of</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="comment">// matrix is less than the element,</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="comment">// move left.</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; ++left_index;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (element &lt;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[left_index]</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; [right_index]) { <span class="comment">// Else if value on this position of</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <span class="comment">// matrix is greater than the</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="comment">// element, move down.</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="keywordflow">if</span>(!right_index)</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordflow">else</span> --right_index;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; }</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; }</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keywordflow">return</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; 0, 0); <span class="comment">// If the program reaches here, that means one of the index</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="comment">// went out of index, hence no element present.</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
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</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; {</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int32_t&gt;</a>&gt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a> = {{1, 10, 100, 1000, 10000},</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; {2, 20, 200, 2000, 20000},</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; {3, 30, 300, 3000, 30000},</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; {4, 40, 400, 4000, 40000},</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; {5, 50, 500, 5000, 50000}};</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair&lt;uint32_t, uint32_t&gt;</a> not_found = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(0, 0);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair&lt;uint32_t, uint32_t&gt;</a> test_answer;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="comment">// Test 1</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair&lt;uint32_t, uint32_t&gt;</a> answer1 = <a class="code" href="../../d3/d22/saddleback__search_8cpp.html#a0a2f1f1a4c93bb57e8c16b8d08f26916">search::saddleback::saddleback</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 123);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; assert(not_found == answer1);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="comment">// Test 2</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; answer1 = <a class="code" href="../../d3/d22/saddleback__search_8cpp.html#a0a2f1f1a4c93bb57e8c16b8d08f26916">search::saddleback::saddleback</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 0);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; assert(not_found == answer1);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="comment">// Test 3</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; answer1 = <a class="code" href="../../d3/d22/saddleback__search_8cpp.html#a0a2f1f1a4c93bb57e8c16b8d08f26916">search::saddleback::saddleback</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 1);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; test_answer = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(1, 1);</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; assert(test_answer == answer1);</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <span class="comment">// Test 4</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; answer1 = <a class="code" href="../../d3/d22/saddleback__search_8cpp.html#a0a2f1f1a4c93bb57e8c16b8d08f26916">search::saddleback::saddleback</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 50000);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; test_answer = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(5, 5);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; assert(test_answer == answer1);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="comment">// Test 5</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; answer1 = <a class="code" href="../../d3/d22/saddleback__search_8cpp.html#a0a2f1f1a4c93bb57e8c16b8d08f26916">search::saddleback::saddleback</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 300);</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; test_answer = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(3, 3);</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; assert(test_answer == answer1);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;}</div>
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<div class="ttc" id="apair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a></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 class="ttdoc">STL class.</div></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="asaddleback__search_8cpp_html_a0a2f1f1a4c93bb57e8c16b8d08f26916"><div class="ttname"><a href="../../d3/d22/saddleback__search_8cpp.html#a0a2f1f1a4c93bb57e8c16b8d08f26916">search::saddleback::saddleback</a></div><div class="ttdeci">std::pair&lt; uint32_t, uint32_t &gt; saddleback(std::vector&lt; std::vector&lt; int32_t &gt;&gt; matrix, int32_t element)</div><div class="ttdef"><b>Definition:</b> saddleback_search.cpp:33</div></div>
<div class="ttc" id="asaddleback__search_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d3/d22/saddleback__search_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition:</b> saddleback_search.cpp:70</div></div>
<div class="ttc" id="amake_pair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a></div><div class="ttdeci">T make_pair(T... args)</div></div>
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