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realstealthninja
2024-11-04 12:10:37 +00:00
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10
annotated.html
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@@ -148,7 +148,7 @@ $(function(){initNavTree('annotated.html',''); initResizable(true); });
<tr id="row_3_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html" target="_self">Matrix</a></td><td class="desc"><a class="el" href="dc/d13/classdivide__and__conquer_1_1strassens__multiplication_1_1_matrix.html" title="Matrix class.">Matrix</a> class </td></tr>
<tr id="row_4_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_4_" class="arrow" onclick="dynsection.toggleFolder('4_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d65/namespacedouble__hashing.html" target="_self">double_hashing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Double_hashing" target="_blank">double hashing</a> algorithm </td></tr>
<tr id="row_4_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/dde/structdouble__hashing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_5_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_5_" class="arrow" onclick="dynsection.toggleFolder('5_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d5f/namespacegeometry.html" target="_self">geometry</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_5_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_5_" class="arrow" onclick="dynsection.toggleFolder('5_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d5f/namespacegeometry.html" target="_self">geometry</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a> </td></tr>
<tr id="row_5_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_5_0_" class="arrow" onclick="dynsection.toggleFolder('5_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>grahamscan</b></td><td class="desc"></td></tr>
<tr id="row_5_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d48/structgeometry_1_1grahamscan_1_1_point.html" target="_self">Point</a></td><td class="desc"></td></tr>
<tr id="row_5_1_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_5_1_" class="arrow" onclick="dynsection.toggleFolder('5_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>jarvis</b></td><td class="desc"></td></tr>
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<tr id="row_7_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/daa/classgreedy__algorithms_1_1dijkstra_1_1_graph.html" target="_self">Graph</a></td><td class="desc">Wrapper class for storing a graph </td></tr>
<tr id="row_7_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="de/df6/classgreedy__algorithms_1_1_binary_addition.html" target="_self">BinaryAddition</a></td><td class="desc">A class to perform binary addition of two binary strings </td></tr>
<tr id="row_7_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/d49/classgreedy__algorithms_1_1_digit_separation.html" target="_self">DigitSeparation</a></td><td class="desc">A class that provides methods to separate the digits of a large positive number </td></tr>
<tr id="row_8_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_8_" class="arrow" onclick="dynsection.toggleFolder('8_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d0c/namespacehashing.html" target="_self">hashing</a></td><td class="desc">Hashing algorithms </td></tr>
<tr id="row_8_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_8_" class="arrow" onclick="dynsection.toggleFolder('8_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d0c/namespacehashing.html" target="_self">hashing</a></td><td class="desc">Used for assert </td></tr>
<tr id="row_8_0_" class="odd" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_8_0_" class="arrow" onclick="dynsection.toggleFolder('8_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>sha256</b></td><td class="desc"></td></tr>
<tr id="row_8_0_0_" class="odd" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d84/classhashing_1_1sha256_1_1_hash.html" target="_self">Hash</a></td><td class="desc">Contains hash array and functions to update it and convert it to a hexadecimal string </td></tr>
<tr id="row_9_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_9_" class="arrow" onclick="dynsection.toggleFolder('9_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing" target="_blank">linear probing</a> algorithm </td></tr>
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<tr id="row_10_2_0_0_" class="odd" style="display:none;"><td class="entry"><span style="width:64px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d93/classmachine__learning_1_1neural__network_1_1layers_1_1_dense_layer.html" target="_self">DenseLayer</a></td><td class="desc"></td></tr>
<tr id="row_10_2_1_" class="odd" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html" target="_self">NeuralNetwork</a></td><td class="desc"></td></tr>
<tr id="row_10_3_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d30/classmachine__learning_1_1adaline.html" target="_self">adaline</a></td><td class="desc"></td></tr>
<tr id="row_11_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_11_" class="arrow" onclick="dynsection.toggleFolder('11_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d47/namespacemath.html" target="_self">math</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_11_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_11_" class="arrow" onclick="dynsection.toggleFolder('11_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d47/namespacemath.html" target="_self">math</a></td><td class="desc">For assert </td></tr>
<tr id="row_11_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_11_0_" class="arrow" onclick="dynsection.toggleFolder('11_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>ncr_modulo_p</b></td><td class="desc"></td></tr>
<tr id="row_11_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html" target="_self">NCRModuloP</a></td><td class="desc">Class which contains all methods required for calculating nCr mod p </td></tr>
<tr id="row_12_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_12_" class="arrow" onclick="dynsection.toggleFolder('12_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d6d/namespaceoperations__on__datastructures.html" target="_self">operations_on_datastructures</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
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<tr id="row_16_1_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="de/d0d/classrange__queries_1_1fenwick__tree.html" target="_self">fenwick_tree</a></td><td class="desc">The class that initializes the Fenwick Tree </td></tr>
<tr id="row_16_2_" class="odd" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_16_2_" class="arrow" onclick="dynsection.toggleFolder('16_2_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d28/classrange__queries_1_1per_seg_tree.html" target="_self">perSegTree</a></td><td class="desc">Range query here is range sum, but the code can be modified to make different queries like range max or min </td></tr>
<tr id="row_16_2_0_" class="odd" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d66/classrange__queries_1_1per_seg_tree_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_17_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_17_" class="arrow" onclick="dynsection.toggleFolder('17_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_17_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_17_" class="arrow" onclick="dynsection.toggleFolder('17_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For std::assert </td></tr>
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<tr id="row_18_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_18_" class="arrow" onclick="dynsection.toggleFolder('18_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
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<tr id="row_29_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/dee/classdouble__linked__list.html" target="_self">double_linked_list</a></td><td class="desc"></td></tr>
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18
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<div class="line"><span class="lineno"> 67</span> }</div>
<div class="line"><span class="lineno"> 68</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../d9/dca/namespacesearch.html">search</a>(root-&gt;arr[j], str, index + 1);</div>
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<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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</div>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a8a3b522a675ab4cdec2d275f6f7798a1" id="r_a8a3b522a675ab4cdec2d275f6f7798a1"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a> (uint64_t n)</td></tr>
<tr class="memdesc:a8a3b522a675ab4cdec2d275f6f7798a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">for IO operations <br /></td></tr>
<tr class="memdesc:a8a3b522a675ab4cdec2d275f6f7798a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">for log calculation <br /></td></tr>
<tr class="separator:a8a3b522a675ab4cdec2d275f6f7798a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac0862b67cf73651707ece04673e1ae49" id="r_ac0862b67cf73651707ece04673e1ae49"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a> (double n)</td></tr>
<tr class="memdesc:ac0862b67cf73651707ece04673e1ae49"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the number of digits in constant time using logarithmic function TC: O(1) <br /></td></tr>
@@ -159,8 +160,8 @@ the number of digits in a number.md" target="_blank">Algorithms-Explanation</a>
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<p>for IO operations </p>
<p>for assert for log calculation</p>
<p>for log calculation </p>
<p>for assert for IO operations</p>
<p>The main function that checks the number of digits in a number. TC : O(number of digits) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>the number to check its digits </td></tr>
@@ -169,21 +170,21 @@ the number of digits in a number.md" target="_blank">Algorithms-Explanation</a>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the digits count </dd></dl>
<p>&lt; the variable used for the digits count</p>
<div class="fragment"><div class="line"><span class="lineno"> 30</span> {</div>
<div class="line"><span class="lineno"> 31</span> uint64_t count = 0; <span class="comment">///&lt; the variable used for the digits count</span></div>
<div class="line"><span class="lineno"> 32</span> </div>
<div class="line"><span class="lineno"> 33</span> <span class="comment">// iterate until `n` becomes 0</span></div>
<div class="line"><span class="lineno"> 34</span> <span class="comment">// remove last digit from `n` in each iteration</span></div>
<div class="line"><span class="lineno"> 35</span> <span class="comment">// increase `count` by 1 in each iteration</span></div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">while</span> (n != 0) {</div>
<div class="line"><span class="lineno"> 37</span> <span class="comment">// we can also use `n = n / 10`</span></div>
<div class="line"><span class="lineno"> 38</span> n /= 10;</div>
<div class="line"><span class="lineno"> 39</span> <span class="comment">// each time the loop is running, `count` will be incremented by 1.</span></div>
<div class="line"><span class="lineno"> 40</span> ++count;</div>
<div class="line"><span class="lineno"> 41</span> }</div>
<div class="line"><span class="lineno"> 42</span> </div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 44</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 31</span> {</div>
<div class="line"><span class="lineno"> 32</span> uint64_t count = 0; <span class="comment">///&lt; the variable used for the digits count</span></div>
<div class="line"><span class="lineno"> 33</span> </div>
<div class="line"><span class="lineno"> 34</span> <span class="comment">// iterate until `n` becomes 0</span></div>
<div class="line"><span class="lineno"> 35</span> <span class="comment">// remove last digit from `n` in each iteration</span></div>
<div class="line"><span class="lineno"> 36</span> <span class="comment">// increase `count` by 1 in each iteration</span></div>
<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">while</span> (n != 0) {</div>
<div class="line"><span class="lineno"> 38</span> <span class="comment">// we can also use `n = n / 10`</span></div>
<div class="line"><span class="lineno"> 39</span> n /= 10;</div>
<div class="line"><span class="lineno"> 40</span> <span class="comment">// each time the loop is running, `count` will be incremented by 1.</span></div>
<div class="line"><span class="lineno"> 41</span> ++count;</div>
<div class="line"><span class="lineno"> 42</span> }</div>
<div class="line"><span class="lineno"> 43</span> </div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 45</span>}</div>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the digits count </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 53</span> {</div>
<div class="line"><span class="lineno"> 54</span> <span class="comment">// log(0) is undefined</span></div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordflow">if</span> (n == 0) {</div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 57</span> }</div>
<div class="line"><span class="lineno"> 58</span> </div>
<div class="line"><span class="lineno"> 59</span> <span class="comment">// to handle the negative numbers</span></div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">if</span> (n &lt; 0) {</div>
<div class="line"><span class="lineno"> 61</span> n = -n;</div>
<div class="line"><span class="lineno"> 62</span> }</div>
<div class="line"><span class="lineno"> 63</span> </div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordtype">double</span> count = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/floor.html">floor</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/log10.html">log10</a>(n) + 1);</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>
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<div class="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
<div class="line"><span class="lineno"> 55</span> <span class="comment">// log(0) is undefined</span></div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">if</span> (n == 0) {</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 58</span> }</div>
<div class="line"><span class="lineno"> 59</span> </div>
<div class="line"><span class="lineno"> 60</span> <span class="comment">// to handle the negative numbers</span></div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">if</span> (n &lt; 0) {</div>
<div class="line"><span class="lineno"> 62</span> n = -n;</div>
<div class="line"><span class="lineno"> 63</span> }</div>
<div class="line"><span class="lineno"> 64</span> </div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordtype">double</span> count = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/floor.html">floor</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/log10.html">log10</a>(n) + 1);</div>
<div class="line"><span class="lineno"> 66</span> </div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 68</span>}</div>
<div class="ttc" id="afloor_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/floor.html">std::floor</a></div><div class="ttdeci">T floor(T... args)</div></div>
<div class="ttc" id="alog10_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/log10.html">std::log10</a></div><div class="ttdeci">T log10(T... args)</div></div>
</div><!-- fragment -->
@@ -255,16 +256,16 @@ the number of digits in a number.md" target="_blank">Algorithms-Explanation</a>
<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 73</span> {</div>
<div class="line"><span class="lineno"> 74</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(5492) == 4);</div>
<div class="line"><span class="lineno"> 75</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(-0) == 0);</div>
<div class="line"><span class="lineno"> 76</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(10000) == 5);</div>
<div class="line"><span class="lineno"> 77</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(9) == 1);</div>
<div class="line"><span class="lineno"> 78</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(100000) == 6);</div>
<div class="line"><span class="lineno"> 79</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(13) == 2);</div>
<div class="line"><span class="lineno"> 80</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(564) == 3);</div>
<div class="line"><span class="lineno"> 81</span>}</div>
<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_a8a3b522a675ab4cdec2d275f6f7798a1"><div class="ttname"><a href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a></div><div class="ttdeci">uint64_t finding_number_of_digits_in_a_number(uint64_t n)</div><div class="ttdoc">for IO operations</div><div class="ttdef"><b>Definition</b> finding_number_of_digits_in_a_number.cpp:30</div></div>
<div class="fragment"><div class="line"><span class="lineno"> 74</span> {</div>
<div class="line"><span class="lineno"> 75</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(5492) == 4);</div>
<div class="line"><span class="lineno"> 76</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(-0) == 0);</div>
<div class="line"><span class="lineno"> 77</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(10000) == 5);</div>
<div class="line"><span class="lineno"> 78</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(9) == 1);</div>
<div class="line"><span class="lineno"> 79</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(100000) == 6);</div>
<div class="line"><span class="lineno"> 80</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(13) == 2);</div>
<div class="line"><span class="lineno"> 81</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(564) == 3);</div>
<div class="line"><span class="lineno"> 82</span>}</div>
<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_a8a3b522a675ab4cdec2d275f6f7798a1"><div class="ttname"><a href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a></div><div class="ttdeci">uint64_t finding_number_of_digits_in_a_number(uint64_t n)</div><div class="ttdoc">for log calculation</div><div class="ttdef"><b>Definition</b> finding_number_of_digits_in_a_number.cpp:31</div></div>
</div><!-- fragment --><div class="dynheader">
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@@ -290,15 +291,15 @@ Here is the call graph for this function:</div>
<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"> 96</span> {</div>
<div class="line"><span class="lineno"> 97</span> <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 98</span> <a class="code hl_function" href="#ab4c15b7f1aedd4419a65cd49562cc300">first_test</a>();</div>
<div class="line"><span class="lineno"> 99</span> second_test();</div>
<div class="line"><span class="lineno"> 100</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;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 101</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 102</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 97</span> {</div>
<div class="line"><span class="lineno"> 98</span> <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 99</span> <a class="code hl_function" href="#ab4c15b7f1aedd4419a65cd49562cc300">first_test</a>();</div>
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<div class="line"><span class="lineno"> 101</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;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 102</span> <span class="keywordflow">return</span> 0;</div>
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<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_ab4c15b7f1aedd4419a65cd49562cc300"><div class="ttname"><a href="#ab4c15b7f1aedd4419a65cd49562cc300">first_test</a></div><div class="ttdeci">static void first_test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> finding_number_of_digits_in_a_number.cpp:74</div></div>
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<div class="fragment"><div class="line"><span class="lineno"> 83</span> {</div>
<div class="line"><span class="lineno"> 84</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(5492) == 4);</div>
<div class="line"><span class="lineno"> 85</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(-0) == 0);</div>
<div class="line"><span class="lineno"> 86</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(10000) == 5);</div>
<div class="line"><span class="lineno"> 87</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(9) == 1);</div>
<div class="line"><span class="lineno"> 88</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(100000) == 6);</div>
<div class="line"><span class="lineno"> 89</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(13) == 2);</div>
<div class="line"><span class="lineno"> 90</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(564) == 3);</div>
<div class="line"><span class="lineno"> 91</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 84</span> {</div>
<div class="line"><span class="lineno"> 85</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(5492) == 4);</div>
<div class="line"><span class="lineno"> 86</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(-0) == 0);</div>
<div class="line"><span class="lineno"> 87</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(10000) == 5);</div>
<div class="line"><span class="lineno"> 88</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(9) == 1);</div>
<div class="line"><span class="lineno"> 89</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(100000) == 6);</div>
<div class="line"><span class="lineno"> 90</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(13) == 2);</div>
<div class="line"><span class="lineno"> 91</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(564) == 3);</div>
<div class="line"><span class="lineno"> 92</span>}</div>
<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_ac0862b67cf73651707ece04673e1ae49"><div class="ttname"><a href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a></div><div class="ttdeci">double finding_number_of_digits_in_a_number_using_log(double n)</div><div class="ttdoc">This function finds the number of digits in constant time using logarithmic function TC: O(1)</div><div class="ttdef"><b>Definition</b> finding_number_of_digits_in_a_number.cpp:54</div></div>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>for <code>vector</code> </p>
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<p>Other algorithms.</p>
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<p>for <code>reverse</code> for <code>assert</code> for I/O operations for <code>stack</code></p>
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d0/dd2/treap_8cpp.html
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@@ -117,11 +117,12 @@ $(function(){initNavTree('d0/dd2/treap_8cpp.html','../../'); initResizable(true)
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;array&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for treap.cpp:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../da/de6/treap_8cpp__incl.svg" width="246" height="111"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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</div>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
@@ -179,11 +180,11 @@ const int&#160;</td><td class="memItemRight" valign="bottom"><b>data_structures:
<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"> 256</span> {</div>
<div class="line"><span class="lineno"> 257</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 258</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 259</span>}</div>
<div class="ttc" id="atreap_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> treap.cpp:230</div></div>
<div class="fragment"><div class="line"><span class="lineno"> 255</span> {</div>
<div class="line"><span class="lineno"> 256</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 257</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 258</span>}</div>
<div class="ttc" id="atreap_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> treap.cpp:229</div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
@@ -218,36 +219,36 @@ Here is the call graph for this function:</div>
<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p>&lt; Treap object instance</p>
<div class="fragment"><div class="line"><span class="lineno"> 230</span> {</div>
<div class="line"><span class="lineno"> 231</span> <a class="code hl_struct" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html">data_structures::treap::Treap</a> mTreap; <span class="comment">///&lt; Treap object instance</span></div>
<div class="line"><span class="lineno"> 232</span> </div>
<div class="line"><span class="lineno"> 233</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(1);</div>
<div class="line"><span class="lineno"> 234</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(2);</div>
<div class="line"><span class="lineno"> 235</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(3);</div>
<div class="line"><span class="lineno"> 236</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(2) == 2);</div>
<div class="line"><span class="lineno"> 237</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(4);</div>
<div class="line"><span class="lineno"> 238</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(5);</div>
<div class="line"><span class="lineno"> 239</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(6);</div>
<div class="line"><span class="lineno"> 240</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">get_next</a>(4) == 5);</div>
<div class="line"><span class="lineno"> 241</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(7);</div>
<div class="line"><span class="lineno"> 242</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(7) == 6);</div>
<div class="line"><span class="lineno"> 243</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">erase</a>(4);</div>
<div class="line"><span class="lineno"> 244</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(4) == 5);</div>
<div class="line"><span class="lineno"> 245</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(5) == 4);</div>
<div class="line"><span class="lineno"> 246</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(10);</div>
<div class="line"><span class="lineno"> 247</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(10) == 7);</div>
<div class="line"><span class="lineno"> 248</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(10) == 7);</div>
<div class="line"><span class="lineno"> 249</span> </div>
<div class="line"><span class="lineno"> 250</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;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 251</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 229</span> {</div>
<div class="line"><span class="lineno"> 230</span> <a class="code hl_struct" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html">data_structures::treap::Treap</a> mTreap; <span class="comment">///&lt; Treap object instance</span></div>
<div class="line"><span class="lineno"> 231</span> </div>
<div class="line"><span class="lineno"> 232</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(1);</div>
<div class="line"><span class="lineno"> 233</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(2);</div>
<div class="line"><span class="lineno"> 234</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(3);</div>
<div class="line"><span class="lineno"> 235</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(2) == 2);</div>
<div class="line"><span class="lineno"> 236</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(4);</div>
<div class="line"><span class="lineno"> 237</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(5);</div>
<div class="line"><span class="lineno"> 238</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(6);</div>
<div class="line"><span class="lineno"> 239</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">get_next</a>(4) == 5);</div>
<div class="line"><span class="lineno"> 240</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(7);</div>
<div class="line"><span class="lineno"> 241</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(7) == 6);</div>
<div class="line"><span class="lineno"> 242</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">erase</a>(4);</div>
<div class="line"><span class="lineno"> 243</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(4) == 5);</div>
<div class="line"><span class="lineno"> 244</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(5) == 4);</div>
<div class="line"><span class="lineno"> 245</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(10);</div>
<div class="line"><span class="lineno"> 246</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(10) == 7);</div>
<div class="line"><span class="lineno"> 247</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(10) == 7);</div>
<div class="line"><span class="lineno"> 248</span> </div>
<div class="line"><span class="lineno"> 249</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;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 250</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="astructdata__structures_1_1treap_1_1_treap_html"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html">data_structures::treap::Treap</a></div><div class="ttdoc">Struct representation of the treap.</div><div class="ttdef"><b>Definition</b> treap.cpp:39</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a5e884d2686aff501ef589b0d1185492f"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">data_structures::treap::Treap::insert</a></div><div class="ttdeci">void insert(int k)</div><div class="ttdoc">Insert element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:204</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a767b28f9911fc32b8462862be058a4a4"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">data_structures::treap::Treap::get_next</a></div><div class="ttdeci">int get_next(int k)</div><div class="ttdoc">Get the successor node of element k.</div><div class="ttdef"><b>Definition</b> treap.cpp:189</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a9ea2becd904e2e7d22f23a001b444469"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">data_structures::treap::Treap::erase</a></div><div class="ttdeci">void erase(int k)</div><div class="ttdoc">Erase element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:209</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab2db3ad3aecc240011e0c8b8604d2c69"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">data_structures::treap::Treap::get_k_th</a></div><div class="ttdeci">int get_k_th(int k)</div><div class="ttdoc">Get the KTH largest value (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:215</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab8b9899f22070cfa01db5bf874296126"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">data_structures::treap::Treap::get_predecessor</a></div><div class="ttdeci">int get_predecessor(int k)</div><div class="ttdoc">Get the predecessor node of element k.</div><div class="ttdef"><b>Definition</b> treap.cpp:173</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ac94e9d69305940f6d8804031455af039"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">data_structures::treap::Treap::get_rank</a></div><div class="ttdeci">int get_rank(int k)</div><div class="ttdoc">Get the rank of specified element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:221</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html">data_structures::treap::Treap</a></div><div class="ttdoc">Struct representation of the treap.</div><div class="ttdef"><b>Definition</b> treap.cpp:40</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a5e884d2686aff501ef589b0d1185492f"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">data_structures::treap::Treap::insert</a></div><div class="ttdeci">void insert(int k)</div><div class="ttdoc">Insert element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:203</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a767b28f9911fc32b8462862be058a4a4"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">data_structures::treap::Treap::get_next</a></div><div class="ttdeci">int get_next(int k)</div><div class="ttdoc">Get the successor node of element k.</div><div class="ttdef"><b>Definition</b> treap.cpp:188</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a9ea2becd904e2e7d22f23a001b444469"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">data_structures::treap::Treap::erase</a></div><div class="ttdeci">void erase(int k)</div><div class="ttdoc">Erase element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:208</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab2db3ad3aecc240011e0c8b8604d2c69"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">data_structures::treap::Treap::get_k_th</a></div><div class="ttdeci">int get_k_th(int k)</div><div class="ttdoc">Get the KTH largest value (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:214</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab8b9899f22070cfa01db5bf874296126"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">data_structures::treap::Treap::get_predecessor</a></div><div class="ttdeci">int get_predecessor(int k)</div><div class="ttdoc">Get the predecessor node of element k.</div><div class="ttdef"><b>Definition</b> treap.cpp:172</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ac94e9d69305940f6d8804031455af039"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">data_structures::treap::Treap::get_rank</a></div><div class="ttdeci">int get_rank(int k)</div><div class="ttdoc">Get the rank of specified element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:220</div></div>
</div><!-- fragment --><div class="dynheader">
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<div class="dyncontent">

12
d0/dd3/modular__exponentiation_8cpp__incl.map
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<p>Implementation of the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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@@ -164,11 +165,11 @@ Functions</h2></td></tr>
<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"> 103</span> {</div>
<div class="line"><span class="lineno"> 104</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 105</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 106</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 104</span> {</div>
<div class="line"><span class="lineno"> 105</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">return</span> 0;</div>
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Here is the call graph for this function:</div>
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@@ -205,23 +206,23 @@ Here is the call graph for this function:</div>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>count of the number of subsets with required sum </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 33</span> {</div>
<div class="line"><span class="lineno"> 34</span> int32_t nelement = in_arr.<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"> 35</span> uint64_t count_of_subset = 0;</div>
<div class="line"><span class="lineno"> 36</span> </div>
<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">for</span> (int32_t i = 0; i &lt; (1 &lt;&lt; (nelement)); i++) {</div>
<div class="line"><span class="lineno"> 38</span> int32_t <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> = 0;</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">for</span> (int32_t j = 0; j &lt; nelement; j++) {</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">if</span> (i &amp; (1 &lt;&lt; j)) {</div>
<div class="line"><span class="lineno"> 41</span> <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> += (in_arr[j]);</div>
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<div class="line"><span class="lineno"> 43</span> }</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">if</span> (check == sum) {</div>
<div class="line"><span class="lineno"> 45</span> count_of_subset++;</div>
<div class="line"><span class="lineno"> 46</span> }</div>
<div class="line"><span class="lineno"> 47</span> }</div>
<div class="line"><span class="lineno"> 48</span> <span class="keywordflow">return</span> count_of_subset;</div>
<div class="line"><span class="lineno"> 49</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 34</span> {</div>
<div class="line"><span class="lineno"> 35</span> int32_t nelement = in_arr.<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"> 36</span> uint64_t count_of_subset = 0;</div>
<div class="line"><span class="lineno"> 37</span> </div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">for</span> (int32_t i = 0; i &lt; (1 &lt;&lt; (nelement)); i++) {</div>
<div class="line"><span class="lineno"> 39</span> int32_t <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> = 0;</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">for</span> (int32_t j = 0; j &lt; nelement; j++) {</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">if</span> (i &amp; (1 &lt;&lt; j)) {</div>
<div class="line"><span class="lineno"> 42</span> <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> += (in_arr[j]);</div>
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<div class="line"><span class="lineno"> 44</span> }</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">if</span> (check == sum) {</div>
<div class="line"><span class="lineno"> 46</span> count_of_subset++;</div>
<div class="line"><span class="lineno"> 47</span> }</div>
<div class="line"><span class="lineno"> 48</span> }</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> count_of_subset;</div>
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<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>
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@@ -257,47 +258,47 @@ Here is the call graph for this function:</div>
<p>Test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 57</span> {</div>
<div class="line"><span class="lineno"> 58</span> <span class="comment">// 1st test</span></div>
<div class="line"><span class="lineno"> 59</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;1st test &quot;</span>;</div>
<div class="line"><span class="lineno"> 60</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array1 = {-7, -3, -2, 5, 8}; <span class="comment">// input array</span></div>
<div class="line"><span class="lineno"> 61</span> assert(backtracking::subset_sum::number_of_subsets(0, array1) ==</div>
<div class="line"><span class="lineno"> 62</span> 2); <span class="comment">// first argument in subset_sum function is the required sum and</span></div>
<div class="line"><span class="lineno"> 63</span> <span class="comment">// second is the input array</span></div>
<div class="line"><span class="lineno"> 64</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;passed&quot;</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"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> <span class="comment">// 2nd test</span></div>
<div class="line"><span class="lineno"> 67</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;2nd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 68</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array2 = {1, 2, 3, 3};</div>
<div class="line"><span class="lineno"> 69</span> assert(backtracking::subset_sum::number_of_subsets(6, array2) ==</div>
<div class="line"><span class="lineno"> 70</span> 3); <span class="comment">// here we are expecting 3 subsets which sum up to 6 i.e.</span></div>
<div class="line"><span class="lineno"> 71</span> <span class="comment">// {(1,2,3),(1,2,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 72</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;passed&quot;</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"> 73</span> </div>
<div class="line"><span class="lineno"> 74</span> <span class="comment">// 3rd test</span></div>
<div class="line"><span class="lineno"> 75</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;3rd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 76</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array3 = {1, 1, 1, 1};</div>
<div class="line"><span class="lineno"> 77</span> assert(backtracking::subset_sum::number_of_subsets(1, array3) ==</div>
<div class="line"><span class="lineno"> 78</span> 4); <span class="comment">// here we are expecting 4 subsets which sum up to 1 i.e.</span></div>
<div class="line"><span class="lineno"> 79</span> <span class="comment">// {(1),(1),(1),(1)}</span></div>
<div class="line"><span class="lineno"> 80</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;passed&quot;</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"> 81</span> </div>
<div class="line"><span class="lineno"> 82</span> <span class="comment">// 4th test</span></div>
<div class="line"><span class="lineno"> 83</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;4th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 84</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array4 = {3, 3, 3, 3};</div>
<div class="line"><span class="lineno"> 85</span> assert(backtracking::subset_sum::number_of_subsets(6, array4) ==</div>
<div class="line"><span class="lineno"> 86</span> 6); <span class="comment">// here we are expecting 6 subsets which sum up to 6 i.e.</span></div>
<div class="line"><span class="lineno"> 87</span> <span class="comment">// {(3,3),(3,3),(3,3),(3,3),(3,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 88</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;passed&quot;</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"> 89</span> </div>
<div class="line"><span class="lineno"> 90</span> <span class="comment">// Test 5</span></div>
<div class="line"><span class="lineno"> 91</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;5th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 92</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array5 = {};</div>
<div class="line"><span class="lineno"> 93</span> assert(backtracking::subset_sum::number_of_subsets(6, array5) ==</div>
<div class="line"><span class="lineno"> 94</span> 0); <span class="comment">// here we are expecting 0 subsets which sum up to 6 i.e. we</span></div>
<div class="line"><span class="lineno"> 95</span> <span class="comment">// cannot select anything from an empty array</span></div>
<div class="line"><span class="lineno"> 96</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;passed&quot;</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"> 97</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 58</span> {</div>
<div class="line"><span class="lineno"> 59</span> <span class="comment">// 1st test</span></div>
<div class="line"><span class="lineno"> 60</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;1st test &quot;</span>;</div>
<div class="line"><span class="lineno"> 61</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array1 = {-7, -3, -2, 5, 8}; <span class="comment">// input array</span></div>
<div class="line"><span class="lineno"> 62</span> assert(backtracking::subset_sum::number_of_subsets(0, array1) ==</div>
<div class="line"><span class="lineno"> 63</span> 2); <span class="comment">// first argument in subset_sum function is the required sum and</span></div>
<div class="line"><span class="lineno"> 64</span> <span class="comment">// second is the input array</span></div>
<div class="line"><span class="lineno"> 65</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;passed&quot;</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"> 66</span> </div>
<div class="line"><span class="lineno"> 67</span> <span class="comment">// 2nd test</span></div>
<div class="line"><span class="lineno"> 68</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;2nd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array2 = {1, 2, 3, 3};</div>
<div class="line"><span class="lineno"> 70</span> assert(backtracking::subset_sum::number_of_subsets(6, array2) ==</div>
<div class="line"><span class="lineno"> 71</span> 3); <span class="comment">// here we are expecting 3 subsets which sum up to 6 i.e.</span></div>
<div class="line"><span class="lineno"> 72</span> <span class="comment">// {(1,2,3),(1,2,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 73</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;passed&quot;</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"> 74</span> </div>
<div class="line"><span class="lineno"> 75</span> <span class="comment">// 3rd test</span></div>
<div class="line"><span class="lineno"> 76</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;3rd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array3 = {1, 1, 1, 1};</div>
<div class="line"><span class="lineno"> 78</span> assert(backtracking::subset_sum::number_of_subsets(1, array3) ==</div>
<div class="line"><span class="lineno"> 79</span> 4); <span class="comment">// here we are expecting 4 subsets which sum up to 1 i.e.</span></div>
<div class="line"><span class="lineno"> 80</span> <span class="comment">// {(1),(1),(1),(1)}</span></div>
<div class="line"><span class="lineno"> 81</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;passed&quot;</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"> 82</span> </div>
<div class="line"><span class="lineno"> 83</span> <span class="comment">// 4th test</span></div>
<div class="line"><span class="lineno"> 84</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;4th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 85</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array4 = {3, 3, 3, 3};</div>
<div class="line"><span class="lineno"> 86</span> assert(backtracking::subset_sum::number_of_subsets(6, array4) ==</div>
<div class="line"><span class="lineno"> 87</span> 6); <span class="comment">// here we are expecting 6 subsets which sum up to 6 i.e.</span></div>
<div class="line"><span class="lineno"> 88</span> <span class="comment">// {(3,3),(3,3),(3,3),(3,3),(3,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 89</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;passed&quot;</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"> 90</span> </div>
<div class="line"><span class="lineno"> 91</span> <span class="comment">// Test 5</span></div>
<div class="line"><span class="lineno"> 92</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;5th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 93</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array5 = {};</div>
<div class="line"><span class="lineno"> 94</span> assert(backtracking::subset_sum::number_of_subsets(6, array5) ==</div>
<div class="line"><span class="lineno"> 95</span> 0); <span class="comment">// here we are expecting 0 subsets which sum up to 6 i.e. we</span></div>
<div class="line"><span class="lineno"> 96</span> <span class="comment">// cannot select anything from an empty array</span></div>
<div class="line"><span class="lineno"> 97</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;passed&quot;</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"> 98</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="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>

4
d1/d11/gcd__of__n__numbers_8cpp.html
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@@ -126,7 +126,7 @@ Include dependency graph for gcd_of_n_numbers.cpp:</div>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
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="../../dd/d47/namespacemath.html">math</a></td></tr>
<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for IO operations <br /></td></tr>
<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for assert <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="../../d2/ddb/namespacegcd__of__n__numbers.html">gcd_of_n_numbers</a></td></tr>
<tr class="memdesc:d2/ddb/namespacegcd__of__n__numbers"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute GCD of numbers in an array. <br /></td></tr>
@@ -238,7 +238,7 @@ template&lt;<a class="elRef" target="_blank" href="http://en.cppreference.com/w/
<div class="line"><span class="lineno"> 77</span> }</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
<div class="line"><span class="lineno"> 79</span>}</div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> fibonacci_sum.cpp:76</div></div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> fibonacci_sum.cpp:77</div></div>
<div class="ttc" id="agcd__of__n__numbers_8cpp_html_a509a35e11ed1e17a9e00dd56320a4181"><div class="ttname"><a href="#a509a35e11ed1e17a9e00dd56320a4181">math::gcd_of_n_numbers::gcd_two</a></div><div class="ttdeci">int gcd_two(int x, int y)</div><div class="ttdoc">Function to compute GCD of 2 numbers x and y.</div><div class="ttdef"><b>Definition</b> gcd_of_n_numbers.cpp:35</div></div>
<div class="ttc" id="agcd__of__n__numbers_8cpp_html_a71b9357c7a722f8208499d9ba573297a"><div class="ttname"><a href="#a71b9357c7a722f8208499d9ba573297a">math::gcd_of_n_numbers::check_all_zeros</a></div><div class="ttdeci">bool check_all_zeros(const std::array&lt; int, n &gt; &amp;a)</div><div class="ttdoc">Function to check if all elements in the array are 0.</div><div class="ttdef"><b>Definition</b> gcd_of_n_numbers.cpp:53</div></div>
<div class="ttc" id="asize_t_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a></div></div>

281
d1/d21/quick__sort_8cpp.html
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@@ -115,13 +115,14 @@ $(function(){initNavTree('d1/d21/quick__sort_8cpp.html','../../'); initResizable
<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;cstdint&gt;</code><br />
<code>#include &lt;ctime&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 quick_sort.cpp:</div>
<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/db2/quick__sort_8cpp__incl.svg" width="512" height="111"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
</div>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
@@ -191,49 +192,49 @@ Functions</h2></td></tr>
<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"> 201</span> {</div>
<div class="line"><span class="lineno"> 202</span> <span class="keywordtype">int</span> choice = 0;</div>
<div class="line"><span class="lineno"> 203</span> </div>
<div class="line"><span class="lineno"> 204</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;\tAvailable modes\t\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 205</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;1. Self-tests mode\n2. Interactive mode&quot;</span>;</div>
<div class="line"><span class="lineno"> 206</span> </div>
<div class="line"><span class="lineno"> 207</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;\nChoose a mode: &quot;</span>;</div>
<div class="line"><span class="lineno"> 208</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; choice;</div>
<div class="line"><span class="lineno"> 209</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;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 210</span> </div>
<div class="line"><span class="lineno"> 211</span> <span class="keywordflow">while</span> ((choice != 1) &amp;&amp; (choice != 2)) {</div>
<div class="line"><span class="lineno"> 212</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;Invalid option. Choose between the valid modes: &quot;</span>;</div>
<div class="line"><span class="lineno"> 213</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; choice;</div>
<div class="line"><span class="lineno"> 214</span> }</div>
<div class="line"><span class="lineno"> 215</span> </div>
<div class="line"><span class="lineno"> 216</span> <span class="keywordflow">if</span> (choice == 1) {</div>
<div class="line"><span class="lineno"> 217</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(<span class="keyword">nullptr</span>));</div>
<div class="line"><span class="lineno"> 218</span> <a class="code hl_function" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 219</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (choice == 2) {</div>
<div class="line"><span class="lineno"> 220</span> <span class="keywordtype">int</span> size = 0;</div>
<div class="line"><span class="lineno"> 221</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;\nEnter the number of elements: &quot;</span>;</div>
<div class="line"><span class="lineno"> 222</span> </div>
<div class="line"><span class="lineno"> 223</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; size;</div>
<div class="line"><span class="lineno"> 224</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> arr(size);</div>
<div class="line"><span class="lineno"> 225</span> </div>
<div class="line"><span class="lineno"> 226</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div>
<div class="line"><span class="lineno"> 227</span> &lt;&lt; <span class="stringliteral">&quot;\nEnter the unsorted elements (can be negative/decimal): &quot;</span>;</div>
<div class="line"><span class="lineno"> 228</span> </div>
<div class="line"><span class="lineno"> 229</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><span class="lineno"> 230</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;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 231</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; arr[i];</div>
<div class="line"><span class="lineno"> 232</span> }</div>
<div class="line"><span class="lineno"> 233</span> <a class="code hl_function" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a>(&amp;arr, 0, size - 1);</div>
<div class="line"><span class="lineno"> 234</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;\nSorted array: \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 235</span> <a class="code hl_function" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a>(arr, size);</div>
<div class="line"><span class="lineno"> 236</span> }</div>
<div class="line"><span class="lineno"> 237</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 238</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 202</span> {</div>
<div class="line"><span class="lineno"> 203</span> <span class="keywordtype">int</span> choice = 0;</div>
<div class="line"><span class="lineno"> 204</span> </div>
<div class="line"><span class="lineno"> 205</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;\tAvailable modes\t\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 206</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;1. Self-tests mode\n2. Interactive mode&quot;</span>;</div>
<div class="line"><span class="lineno"> 207</span> </div>
<div class="line"><span class="lineno"> 208</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;\nChoose a mode: &quot;</span>;</div>
<div class="line"><span class="lineno"> 209</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; choice;</div>
<div class="line"><span class="lineno"> 210</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;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 211</span> </div>
<div class="line"><span class="lineno"> 212</span> <span class="keywordflow">while</span> ((choice != 1) &amp;&amp; (choice != 2)) {</div>
<div class="line"><span class="lineno"> 213</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;Invalid option. Choose between the valid modes: &quot;</span>;</div>
<div class="line"><span class="lineno"> 214</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; choice;</div>
<div class="line"><span class="lineno"> 215</span> }</div>
<div class="line"><span class="lineno"> 216</span> </div>
<div class="line"><span class="lineno"> 217</span> <span class="keywordflow">if</span> (choice == 1) {</div>
<div class="line"><span class="lineno"> 218</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(<span class="keyword">nullptr</span>));</div>
<div class="line"><span class="lineno"> 219</span> <a class="code hl_function" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 220</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (choice == 2) {</div>
<div class="line"><span class="lineno"> 221</span> <span class="keywordtype">int</span> size = 0;</div>
<div class="line"><span class="lineno"> 222</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;\nEnter the number of elements: &quot;</span>;</div>
<div class="line"><span class="lineno"> 223</span> </div>
<div class="line"><span class="lineno"> 224</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; size;</div>
<div class="line"><span class="lineno"> 225</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> arr(size);</div>
<div class="line"><span class="lineno"> 226</span> </div>
<div class="line"><span class="lineno"> 227</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div>
<div class="line"><span class="lineno"> 228</span> &lt;&lt; <span class="stringliteral">&quot;\nEnter the unsorted elements (can be negative/decimal): &quot;</span>;</div>
<div class="line"><span class="lineno"> 229</span> </div>
<div class="line"><span class="lineno"> 230</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; ++i) {</div>
<div class="line"><span class="lineno"> 231</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;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 232</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; arr[i];</div>
<div class="line"><span class="lineno"> 233</span> }</div>
<div class="line"><span class="lineno"> 234</span> <a class="code hl_function" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a>(&amp;arr, 0, size - 1);</div>
<div class="line"><span class="lineno"> 235</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;\nSorted array: \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 236</span> <a class="code hl_function" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a>(arr, size);</div>
<div class="line"><span class="lineno"> 237</span> }</div>
<div class="line"><span class="lineno"> 238</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 239</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></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="aquick__sort_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> quick_sort.cpp:135</div></div>
<div class="ttc" id="aquick__sort_8cpp_html_a5e6213e8008356ac6eda9427f3f4b394"><div class="ttname"><a href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a></div><div class="ttdeci">void quick_sort(std::vector&lt; T &gt; *arr, const int &amp;low, const int &amp;high)</div><div class="ttdoc">the main function that implements Quick Sort.</div><div class="ttdef"><b>Definition</b> quick_sort.cpp:86</div></div>
<div class="ttc" id="aquick__sort_8cpp_html_aeccefcf6fcca62c54939c5ec9a93109b"><div class="ttname"><a href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a></div><div class="ttdeci">void show(const std::vector&lt; T &gt; &amp;arr, const int &amp;size)</div><div class="ttdoc">Utility function to print the array contents.</div><div class="ttdef"><b>Definition</b> quick_sort.cpp:123</div></div>
<div class="ttc" id="aquick__sort_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> quick_sort.cpp:136</div></div>
<div class="ttc" id="aquick__sort_8cpp_html_a5e6213e8008356ac6eda9427f3f4b394"><div class="ttname"><a href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a></div><div class="ttdeci">void quick_sort(std::vector&lt; T &gt; *arr, const int &amp;low, const int &amp;high)</div><div class="ttdoc">the main function that implements Quick Sort.</div><div class="ttdef"><b>Definition</b> quick_sort.cpp:87</div></div>
<div class="ttc" id="aquick__sort_8cpp_html_aeccefcf6fcca62c54939c5ec9a93109b"><div class="ttname"><a href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a></div><div class="ttdeci">void show(const std::vector&lt; T &gt; &amp;arr, const int &amp;size)</div><div class="ttdoc">Utility function to print the array contents.</div><div class="ttdef"><b>Definition</b> quick_sort.cpp:124</div></div>
<div class="ttc" id="asrand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a></div><div class="ttdeci">T srand(T... args)</div></div>
<div class="ttc" id="atime_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a></div><div class="ttdeci">T time(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>
@@ -287,22 +288,22 @@ template&lt;typename T &gt; </div>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>index of the smaller element </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 58</span> {</div>
<div class="line"><span class="lineno"> 59</span> T pivot = (*arr)[high]; <span class="comment">// taking the last element as pivot</span></div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordtype">int</span> i = (low - 1); <span class="comment">// Index of smaller element</span></div>
<div class="line"><span class="lineno"> 61</span> </div>
<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = low; j &lt; high; j++) {</div>
<div class="line"><span class="lineno"> 63</span> <span class="comment">// If current element is smaller than or</span></div>
<div class="line"><span class="lineno"> 64</span> <span class="comment">// equal to pivot</span></div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">if</span> ((*arr)[j] &lt;= pivot) {</div>
<div class="line"><span class="lineno"> 66</span> i++; <span class="comment">// increment index of smaller element</span></div>
<div class="line"><span class="lineno"> 67</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>((*arr)[i], (*arr)[j]);</div>
<div class="line"><span class="lineno"> 68</span> }</div>
<div class="line"><span class="lineno"> 69</span> }</div>
<div class="line"><span class="lineno"> 70</span> </div>
<div class="line"><span class="lineno"> 71</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>((*arr)[i + 1], (*arr)[high]);</div>
<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">return</span> (i + 1);</div>
<div class="line"><span class="lineno"> 73</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 59</span> {</div>
<div class="line"><span class="lineno"> 60</span> T pivot = (*arr)[high]; <span class="comment">// taking the last element as pivot</span></div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordtype">int</span> i = (low - 1); <span class="comment">// Index of smaller element</span></div>
<div class="line"><span class="lineno"> 62</span> </div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = low; j &lt; high; j++) {</div>
<div class="line"><span class="lineno"> 64</span> <span class="comment">// If current element is smaller than or</span></div>
<div class="line"><span class="lineno"> 65</span> <span class="comment">// equal to pivot</span></div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">if</span> ((*arr)[j] &lt;= pivot) {</div>
<div class="line"><span class="lineno"> 67</span> i++; <span class="comment">// increment index of smaller element</span></div>
<div class="line"><span class="lineno"> 68</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>((*arr)[i], (*arr)[j]);</div>
<div class="line"><span class="lineno"> 69</span> }</div>
<div class="line"><span class="lineno"> 70</span> }</div>
<div class="line"><span class="lineno"> 71</span> </div>
<div class="line"><span class="lineno"> 72</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>((*arr)[i + 1], (*arr)[high]);</div>
<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">return</span> (i + 1);</div>
<div class="line"><span class="lineno"> 74</span>}</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>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
@@ -353,14 +354,14 @@ template&lt;typename T &gt; </div>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 86</span> {</div>
<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">if</span> (low &lt; high) {</div>
<div class="line"><span class="lineno"> 88</span> <span class="keywordtype">int</span> p = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/partition.html">partition</a>(arr, low, high);</div>
<div class="line"><span class="lineno"> 89</span> </div>
<div class="line"><span class="lineno"> 90</span> <a class="code hl_namespace" href="../../d0/d2b/namespacequick__sort.html">quick_sort</a>(arr, low, p - 1);</div>
<div class="line"><span class="lineno"> 91</span> <a class="code hl_namespace" href="../../d0/d2b/namespacequick__sort.html">quick_sort</a>(arr, p + 1, high);</div>
<div class="line"><span class="lineno"> 92</span> }</div>
<div class="line"><span class="lineno"> 93</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 87</span> {</div>
<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">if</span> (low &lt; high) {</div>
<div class="line"><span class="lineno"> 89</span> <span class="keywordtype">int</span> p = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/partition.html">partition</a>(arr, low, high);</div>
<div class="line"><span class="lineno"> 90</span> </div>
<div class="line"><span class="lineno"> 91</span> <a class="code hl_namespace" href="../../d0/d2b/namespacequick__sort.html">quick_sort</a>(arr, low, p - 1);</div>
<div class="line"><span class="lineno"> 92</span> <a class="code hl_namespace" href="../../d0/d2b/namespacequick__sort.html">quick_sort</a>(arr, p + 1, high);</div>
<div class="line"><span class="lineno"> 93</span> }</div>
<div class="line"><span class="lineno"> 94</span>}</div>
<div class="ttc" id="anamespacequick__sort_html"><div class="ttname"><a href="../../d0/d2b/namespacequick__sort.html">quick_sort</a></div><div class="ttdoc">Functions for the Quick sort implementation in C++.</div></div>
<div class="ttc" id="apartition_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/partition.html">std::partition</a></div><div class="ttdeci">T partition(T... args)</div></div>
</div><!-- fragment -->
@@ -407,15 +408,15 @@ template&lt;typename T &gt; </div>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 106</span> {</div>
<div class="line"><span class="lineno"> 107</span> <span class="keywordflow">if</span> (low &lt; high) {</div>
<div class="line"><span class="lineno"> 108</span> <span class="keywordtype">int</span> p = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/partition.html">partition</a>(&amp;arr, low, high);</div>
<div class="line"><span class="lineno"> 109</span> </div>
<div class="line"><span class="lineno"> 110</span> <a class="code hl_namespace" href="../../d0/d2b/namespacequick__sort.html">quick_sort</a>(&amp;arr, low, p - 1);</div>
<div class="line"><span class="lineno"> 111</span> <a class="code hl_namespace" href="../../d0/d2b/namespacequick__sort.html">quick_sort</a>(&amp;arr, p + 1, high);</div>
<div class="line"><span class="lineno"> 112</span> }</div>
<div class="line"><span class="lineno"> 113</span> <span class="keywordflow">return</span> arr;</div>
<div class="line"><span class="lineno"> 114</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 107</span> {</div>
<div class="line"><span class="lineno"> 108</span> <span class="keywordflow">if</span> (low &lt; high) {</div>
<div class="line"><span class="lineno"> 109</span> <span class="keywordtype">int</span> p = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/partition.html">partition</a>(&amp;arr, low, high);</div>
<div class="line"><span class="lineno"> 110</span> </div>
<div class="line"><span class="lineno"> 111</span> <a class="code hl_namespace" href="../../d0/d2b/namespacequick__sort.html">quick_sort</a>(&amp;arr, low, p - 1);</div>
<div class="line"><span class="lineno"> 112</span> <a class="code hl_namespace" href="../../d0/d2b/namespacequick__sort.html">quick_sort</a>(&amp;arr, p + 1, high);</div>
<div class="line"><span class="lineno"> 113</span> }</div>
<div class="line"><span class="lineno"> 114</span> <span class="keywordflow">return</span> arr;</div>
<div class="line"><span class="lineno"> 115</span>}</div>
</div><!-- fragment -->
</div>
</div>
@@ -449,10 +450,10 @@ template&lt;typename T &gt; </div>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 123</span> {</div>
<div class="line"><span class="lineno"> 124</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) <a class="code hl_classRef" 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"><span class="lineno"> 125</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;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 126</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 124</span> {</div>
<div class="line"><span class="lineno"> 125</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) <a class="code hl_classRef" 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"><span class="lineno"> 126</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;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 127</span>}</div>
</div><!-- fragment -->
</div>
</div>
@@ -481,67 +482,67 @@ template&lt;typename T &gt; </div>
<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 135</span> {</div>
<div class="line"><span class="lineno"> 136</span> <span class="comment">// 1st test (normal numbers)</span></div>
<div class="line"><span class="lineno"> 137</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> arr = {5, 3, 8, 12, 14, 16, 28, 96, 2, 5977};</div>
<div class="line"><span class="lineno"> 138</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> arr_sorted = <a class="code hl_function" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a>(</div>
<div class="line"><span class="lineno"> 139</span> arr, 0, <span class="keywordtype">int</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr)) - 1);</div>
<div class="line"><span class="lineno"> 140</span> </div>
<div class="line"><span class="lineno"> 141</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr_sorted), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr_sorted)));</div>
<div class="line"><span class="lineno"> 142</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;\n1st test: passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 143</span> </div>
<div class="line"><span class="lineno"> 144</span> <span class="comment">// 2nd test (normal and negative numbers)</span></div>
<div class="line"><span class="lineno"> 145</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int64_t&gt;</a> arr2 = {9, 15, 28, 96, 500, -4, -58,</div>
<div class="line"><span class="lineno"> 146</span> -977, -238, -800, -21, -53, -55};</div>
<div class="line"><span class="lineno"> 147</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int64_t&gt;</a> arr_sorted2 = <a class="code hl_function" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a>(</div>
<div class="line"><span class="lineno"> 148</span> arr2, 0, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr2) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr2));</div>
<div class="line"><span class="lineno"> 149</span> </div>
<div class="line"><span class="lineno"> 150</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr_sorted2), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr_sorted2)));</div>
<div class="line"><span class="lineno"> 151</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;2nd test: passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 152</span> </div>
<div class="line"><span class="lineno"> 153</span> <span class="comment">// 3rd test (decimal and normal numbers)</span></div>
<div class="line"><span class="lineno"> 154</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;double&gt;</a> arr3 = {29, 36, 1100, 0, 77, 1,</div>
<div class="line"><span class="lineno"> 155</span> 6.7, 8.97, 1.74, 950.10, -329.65};</div>
<div class="line"><span class="lineno"> 156</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;double&gt;</a> arr_sorted3 = <a class="code hl_function" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a>(</div>
<div class="line"><span class="lineno"> 157</span> arr3, 0, <span class="keywordtype">int</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr3) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr3)) - 1);</div>
<div class="line"><span class="lineno"> 158</span> </div>
<div class="line"><span class="lineno"> 159</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr_sorted3), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr_sorted3)));</div>
<div class="line"><span class="lineno"> 160</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;3rd test: passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 161</span> </div>
<div class="line"><span class="lineno"> 162</span> <span class="comment">// 4th test (random decimal and negative numbers)</span></div>
<div class="line"><span class="lineno"> 163</span> <span class="keywordtype">size_t</span> size = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 750 + 100;</div>
<div class="line"><span class="lineno"> 164</span> </div>
<div class="line"><span class="lineno"> 165</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> arr4(size);</div>
<div class="line"><span class="lineno"> 166</span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; size; i++) {</div>
<div class="line"><span class="lineno"> 167</span> arr4[i] = <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>()) /</div>
<div class="line"><span class="lineno"> 168</span> <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(RAND_MAX / 999.99 - 0.99) -</div>
<div class="line"><span class="lineno"> 169</span> 250;</div>
<div class="line"><span class="lineno"> 170</span> }</div>
<div class="line"><span class="lineno"> 171</span> </div>
<div class="line"><span class="lineno"> 172</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> arr4_sorted = <a class="code hl_function" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a>(</div>
<div class="line"><span class="lineno"> 173</span> arr4, 0, <span class="keywordtype">int</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr4) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr4)) - 1);</div>
<div class="line"><span class="lineno"> 174</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr4_sorted), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr4_sorted)));</div>
<div class="line"><span class="lineno"> 175</span> </div>
<div class="line"><span class="lineno"> 176</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;4th test: passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 177</span> </div>
<div class="line"><span class="lineno"> 178</span> <span class="comment">// Printing all sorted arrays</span></div>
<div class="line"><span class="lineno"> 179</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;\n\tPrinting all sorted arrays:\t\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 180</span> </div>
<div class="line"><span class="lineno"> 181</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;1st array:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 182</span> <a class="code hl_function" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a>(arr_sorted, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr));</div>
<div class="line"><span class="lineno"> 183</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &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"> 184</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;2nd array:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 185</span> <a class="code hl_function" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a>(arr_sorted2, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr2) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr2));</div>
<div class="line"><span class="lineno"> 186</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &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"> 187</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;3rd array:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 188</span> <a class="code hl_function" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a>(arr_sorted3,</div>
<div class="line"><span class="lineno"> 189</span> <span class="keywordtype">int</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr3) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr3)) - 1);</div>
<div class="line"><span class="lineno"> 190</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &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"> 191</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;Start: 4th array:\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 192</span> <a class="code hl_function" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a>(</div>
<div class="line"><span class="lineno"> 193</span> arr4_sorted, <span class="keywordtype">int</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr4_sorted) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr4_sorted)) - 1);</div>
<div class="line"><span class="lineno"> 194</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;\nEnd: 4th array.\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 195</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 136</span> {</div>
<div class="line"><span class="lineno"> 137</span> <span class="comment">// 1st test (normal numbers)</span></div>
<div class="line"><span class="lineno"> 138</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> arr = {5, 3, 8, 12, 14, 16, 28, 96, 2, 5977};</div>
<div class="line"><span class="lineno"> 139</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> arr_sorted = <a class="code hl_function" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a>(</div>
<div class="line"><span class="lineno"> 140</span> arr, 0, <span class="keywordtype">int</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr)) - 1);</div>
<div class="line"><span class="lineno"> 141</span> </div>
<div class="line"><span class="lineno"> 142</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr_sorted), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr_sorted)));</div>
<div class="line"><span class="lineno"> 143</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;\n1st test: passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 144</span> </div>
<div class="line"><span class="lineno"> 145</span> <span class="comment">// 2nd test (normal and negative numbers)</span></div>
<div class="line"><span class="lineno"> 146</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int64_t&gt;</a> arr2 = {9, 15, 28, 96, 500, -4, -58,</div>
<div class="line"><span class="lineno"> 147</span> -977, -238, -800, -21, -53, -55};</div>
<div class="line"><span class="lineno"> 148</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int64_t&gt;</a> arr_sorted2 = <a class="code hl_function" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a>(</div>
<div class="line"><span class="lineno"> 149</span> arr2, 0, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr2) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr2));</div>
<div class="line"><span class="lineno"> 150</span> </div>
<div class="line"><span class="lineno"> 151</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr_sorted2), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr_sorted2)));</div>
<div class="line"><span class="lineno"> 152</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;2nd test: passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 153</span> </div>
<div class="line"><span class="lineno"> 154</span> <span class="comment">// 3rd test (decimal and normal numbers)</span></div>
<div class="line"><span class="lineno"> 155</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;double&gt;</a> arr3 = {29, 36, 1100, 0, 77, 1,</div>
<div class="line"><span class="lineno"> 156</span> 6.7, 8.97, 1.74, 950.10, -329.65};</div>
<div class="line"><span class="lineno"> 157</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;double&gt;</a> arr_sorted3 = <a class="code hl_function" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a>(</div>
<div class="line"><span class="lineno"> 158</span> arr3, 0, <span class="keywordtype">int</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr3) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr3)) - 1);</div>
<div class="line"><span class="lineno"> 159</span> </div>
<div class="line"><span class="lineno"> 160</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr_sorted3), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr_sorted3)));</div>
<div class="line"><span class="lineno"> 161</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;3rd test: passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 162</span> </div>
<div class="line"><span class="lineno"> 163</span> <span class="comment">// 4th test (random decimal and negative numbers)</span></div>
<div class="line"><span class="lineno"> 164</span> <span class="keywordtype">size_t</span> size = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 750 + 100;</div>
<div class="line"><span class="lineno"> 165</span> </div>
<div class="line"><span class="lineno"> 166</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> arr4(size);</div>
<div class="line"><span class="lineno"> 167</span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; size; i++) {</div>
<div class="line"><span class="lineno"> 168</span> arr4[i] = <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>()) /</div>
<div class="line"><span class="lineno"> 169</span> <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(RAND_MAX / 999.99 - 0.99) -</div>
<div class="line"><span class="lineno"> 170</span> 250;</div>
<div class="line"><span class="lineno"> 171</span> }</div>
<div class="line"><span class="lineno"> 172</span> </div>
<div class="line"><span class="lineno"> 173</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> arr4_sorted = <a class="code hl_function" href="#a5e6213e8008356ac6eda9427f3f4b394">sorting::quick_sort::quick_sort</a>(</div>
<div class="line"><span class="lineno"> 174</span> arr4, 0, <span class="keywordtype">int</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr4) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr4)) - 1);</div>
<div class="line"><span class="lineno"> 175</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr4_sorted), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr4_sorted)));</div>
<div class="line"><span class="lineno"> 176</span> </div>
<div class="line"><span class="lineno"> 177</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;4th test: passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 178</span> </div>
<div class="line"><span class="lineno"> 179</span> <span class="comment">// Printing all sorted arrays</span></div>
<div class="line"><span class="lineno"> 180</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;\n\tPrinting all sorted arrays:\t\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 181</span> </div>
<div class="line"><span class="lineno"> 182</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;1st array:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 183</span> <a class="code hl_function" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a>(arr_sorted, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr));</div>
<div class="line"><span class="lineno"> 184</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &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"> 185</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;2nd array:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 186</span> <a class="code hl_function" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a>(arr_sorted2, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr2) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr2));</div>
<div class="line"><span class="lineno"> 187</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &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"> 188</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;3rd array:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 189</span> <a class="code hl_function" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a>(arr_sorted3,</div>
<div class="line"><span class="lineno"> 190</span> <span class="keywordtype">int</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(arr3) - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(arr3)) - 1);</div>
<div class="line"><span class="lineno"> 191</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &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"> 192</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;Start: 4th array:\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 193</span> <a class="code hl_function" href="#aeccefcf6fcca62c54939c5ec9a93109b">sorting::quick_sort::show</a>(</div>
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@@ -1641,8 +1641,8 @@ template&lt;typename T , typename = typename std::enable_if&lt;
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@@ -3706,7 +3706,7 @@ template&lt;typename T , typename = typename std::enable_if&lt;
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@@ -209,7 +209,7 @@ template&lt;typename T &gt; </div>
<div class="line"><span class="lineno"> 100</span> }</div>
<div class="line"><span class="lineno"> 101</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
<div class="line"><span class="lineno"> 102</span>}</div>
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<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> fibonacci_sum.cpp:77</div></div>
<div class="ttc" id="alu__decomposition_8h_html_a75b8a228c6419ecda6077255d6d60509"><div class="ttname"><a href="#a75b8a228c6419ecda6077255d6d60509">lu_decomposition</a></div><div class="ttdeci">int lu_decomposition(const matrix&lt; T &gt; &amp;A, matrix&lt; double &gt; *L, matrix&lt; double &gt; *U)</div><div class="ttdef"><b>Definition</b> lu_decomposition.h:29</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>
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<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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<div class="ttc" id="amd5_8cpp_html_a88705fab5f92adf3427b4cf76ff33edb"><div class="ttname"><a href="../../d5/d96/md5_8cpp.html#a88705fab5f92adf3427b4cf76ff33edb">hashing::md5::hash</a></div><div class="ttdeci">void * hash(const std::string &amp;message)</div><div class="ttdoc">Converts the string to bytestring and calls the main algorithm.</div><div class="ttdef"><b>Definition</b> md5.cpp:288</div></div>
<div class="ttc" id="anamespacelinear__probing_html_a16680b8a37d442c2f208faa286e33908"><div class="ttname"><a href="../../d8/d89/namespacelinear__probing.html#a16680b8a37d442c2f208faa286e33908">linear_probing::addInfo</a></div><div class="ttdeci">void addInfo(int key)</div><div class="ttdef"><b>Definition</b> linear_probing_hash_table.cpp:186</div></div>
<div class="ttc" id="anamespacelinear__probing_html_a4bde7a47f98dd1ad24c84038e2608527"><div class="ttname"><a href="../../d8/d89/namespacelinear__probing.html#a4bde7a47f98dd1ad24c84038e2608527">linear_probing::hashFxn</a></div><div class="ttdeci">size_t hashFxn(int key)</div><div class="ttdoc">Hash a key. Uses the STL library's std::hash() function.</div><div class="ttdef"><b>Definition</b> linear_probing_hash_table.cpp:46</div></div>
<div class="ttc" id="anamespacelinear__probing_html_a6322209aaa91b7bbf16f96e1cc52b746"><div class="ttname"><a href="../../d8/d89/namespacelinear__probing.html#a6322209aaa91b7bbf16f96e1cc52b746">linear_probing::linearProbe</a></div><div class="ttdeci">int linearProbe(int key, bool searching)</div><div class="ttdef"><b>Definition</b> linear_probing_hash_table.cpp:55</div></div>

41
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@@ -115,13 +115,14 @@ $(function(){initNavTree('d1/dcc/wiggle__sort_8cpp.html','../../'); initResizabl
<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;cstdint&gt;</code><br />
<code>#include &lt;ctime&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
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@@ -180,25 +181,25 @@ template&lt;typename T &gt; </div>
</dl>
<dl class="section examples"><dt>Examples</dt><dd><a class="el" href="../../dd/db0/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2sorting_2wiggle_sort_8cpp-example.html#a1">/Users/runner/work/C-Plus-Plus/C-Plus-Plus/sorting/wiggle_sort.cpp</a>.</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 53</span> {</div>
<div class="line"><span class="lineno"> 54</span> uint32_t size = arr.<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"> 55</span> </div>
<div class="line"><span class="lineno"> 56</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a> out(</div>
<div class="line"><span class="lineno"> 57</span> arr); <span class="comment">// create a copy of input vector. this way, the original input</span></div>
<div class="line"><span class="lineno"> 58</span> <span class="comment">// vector does not get modified. a sorted array is is returned.</span></div>
<div class="line"><span class="lineno"> 59</span> </div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i += 2) {</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">if</span> (i &gt; 0 &amp;&amp; out[i - 1] &gt; out[i]) {</div>
<div class="line"><span class="lineno"> 62</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(out[i], out[i - 1]); <span class="comment">// swapping the two values</span></div>
<div class="line"><span class="lineno"> 63</span> }</div>
<div class="line"><span class="lineno"> 64</span> </div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">if</span> (i &lt; size - 1 &amp;&amp; out[i] &lt; out[i + 1]) {</div>
<div class="line"><span class="lineno"> 66</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(out[i], out[i + 1]); <span class="comment">// swapping the two values</span></div>
<div class="line"><span class="lineno"> 67</span> }</div>
<div class="line"><span class="lineno"> 68</span> }</div>
<div class="line"><span class="lineno"> 69</span> </div>
<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">return</span> out; <span class="comment">// returns the sorted vector</span></div>
<div class="line"><span class="lineno"> 71</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
<div class="line"><span class="lineno"> 55</span> uint32_t size = arr.<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"> 56</span> </div>
<div class="line"><span class="lineno"> 57</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a> out(</div>
<div class="line"><span class="lineno"> 58</span> arr); <span class="comment">// create a copy of input vector. this way, the original input</span></div>
<div class="line"><span class="lineno"> 59</span> <span class="comment">// vector does not get modified. a sorted array is is returned.</span></div>
<div class="line"><span class="lineno"> 60</span> </div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i += 2) {</div>
<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">if</span> (i &gt; 0 &amp;&amp; out[i - 1] &gt; out[i]) {</div>
<div class="line"><span class="lineno"> 63</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(out[i], out[i - 1]); <span class="comment">// swapping the two values</span></div>
<div class="line"><span class="lineno"> 64</span> }</div>
<div class="line"><span class="lineno"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">if</span> (i &lt; size - 1 &amp;&amp; out[i] &lt; out[i + 1]) {</div>
<div class="line"><span class="lineno"> 67</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(out[i], out[i + 1]); <span class="comment">// swapping the two values</span></div>
<div class="line"><span class="lineno"> 68</span> }</div>
<div class="line"><span class="lineno"> 69</span> }</div>
<div class="line"><span class="lineno"> 70</span> </div>
<div class="line"><span class="lineno"> 71</span> <span class="keywordflow">return</span> out; <span class="comment">// returns the sorted vector</span></div>
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@@ -129,7 +129,7 @@ Functions</h2></td></tr>
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<p>Numerical Methods.</p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/map.html">std::map</a> container</p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></p>
<p>for storing points and coefficents</p>
<p>for io operations</p>
<p>for math functions</p>
<p>for IO operations</p>
@@ -138,7 +138,7 @@ Functions</h2></td></tr>
<p>Numerical algorithms/methods</p>
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<p>for assert for mathematical-related functions for storing points and coefficents for IO operations</p>
<p>for assert for mathematical-related functions for IO operations for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></p>
<p>Numerical algorithms/methods</p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a> for assert for fabs</p>
<p>Numerical Methods algorithms</p>
@@ -251,61 +251,61 @@ y if n!=1 </dd></dl>
<p>Updating the last n/2 elements</p>
<p>Deleting dynamic array ye</p>
<p>Deleting dynamic array yo</p>
<div class="fragment"><div class="line"><span class="lineno"> 41</span> {</div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">if</span> (n == 1) {</div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">return</span> p; <span class="comment">/// Base Case To return</span></div>
<div class="line"><span class="lineno"> 44</span> }</div>
<div class="line"><span class="lineno"> 45</span> </div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordtype">double</span> pi = 2 * asin(1.0); <span class="comment">/// Declaring value of pi</span></div>
<div class="line"><span class="lineno"> 47</span> </div>
<div class="line"><span class="lineno"> 48</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> om = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>(</div>
<div class="line"><span class="lineno"> 49</span> cos(2 * pi / n), sin(2 * pi / n)); <span class="comment">/// Calculating value of omega</span></div>
<div class="line"><span class="lineno"> 50</span> </div>
<div class="line"><span class="lineno"> 51</span> <span class="keyword">auto</span> *pe = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n / 2]; <span class="comment">/// Coefficients of even power</span></div>
<div class="line"><span class="lineno"> 52</span> </div>
<div class="line"><span class="lineno"> 53</span> <span class="keyword">auto</span> *po = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n / 2]; <span class="comment">/// Coefficients of odd power</span></div>
<div class="line"><span class="lineno"> 54</span> </div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordtype">int</span> k1 = 0, k2 = 0;</div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">if</span> (j % 2 == 0) {</div>
<div class="line"><span class="lineno"> 58</span> pe[k1++] = p[j]; <span class="comment">/// Assigning values of even Coefficients</span></div>
<div class="line"><span class="lineno"> 59</span> </div>
<div class="line"><span class="lineno"> 60</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 61</span> po[k2++] = p[j]; <span class="comment">/// Assigning value of odd Coefficients</span></div>
<div class="line"><span class="lineno"> 62</span> }</div>
<div class="line"><span class="lineno"> 63</span> }</div>
<div class="line"><span class="lineno"> 64</span> </div>
<div class="line"><span class="lineno"> 65</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> *ye =</div>
<div class="line"><span class="lineno"> 66</span> <a class="code hl_function" href="#a158fd271b9a53e8f3f60b08b18857150">FastFourierTransform</a>(pe, n / 2); <span class="comment">/// Recursive Call</span></div>
<div class="line"><span class="lineno"> 67</span> </div>
<div class="line"><span class="lineno"> 68</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> *yo =</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_function" href="#a158fd271b9a53e8f3f60b08b18857150">FastFourierTransform</a>(po, n / 2); <span class="comment">/// Recursive Call</span></div>
<div class="line"><span class="lineno"> 70</span> </div>
<div class="line"><span class="lineno"> 71</span> <span class="keyword">auto</span> *y = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n]; <span class="comment">/// Final value representation list</span></div>
<div class="line"><span class="lineno"> 72</span> </div>
<div class="line"><span class="lineno"> 73</span> k1 = 0, k2 = 0;</div>
<div class="line"><span class="lineno"> 74</span> </div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n / 2; i++) {</div>
<div class="line"><span class="lineno"> 76</span> y[i] =</div>
<div class="line"><span class="lineno"> 77</span> ye[k1] + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(om, i) * yo[k2]; <span class="comment">/// Updating the first n/2 elements</span></div>
<div class="line"><span class="lineno"> 78</span> y[i + n / 2] =</div>
<div class="line"><span class="lineno"> 79</span> ye[k1] - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(om, i) * yo[k2]; <span class="comment">/// Updating the last n/2 elements</span></div>
<div class="line"><span class="lineno"> 80</span> </div>
<div class="line"><span class="lineno"> 81</span> k1++;</div>
<div class="line"><span class="lineno"> 82</span> k2++;</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> <span class="keywordflow">if</span> (n != 2) {</div>
<div class="line"><span class="lineno"> 86</span> <span class="keyword">delete</span>[] pe;</div>
<div class="line"><span class="lineno"> 87</span> <span class="keyword">delete</span>[] po;</div>
<div class="line"><span class="lineno"> 88</span> }</div>
<div class="line"><span class="lineno"> 89</span> </div>
<div class="line"><span class="lineno"> 90</span> <span class="keyword">delete</span>[] ye; <span class="comment">/// Deleting dynamic array ye</span></div>
<div class="line"><span class="lineno"> 91</span> <span class="keyword">delete</span>[] yo; <span class="comment">/// Deleting dynamic array yo</span></div>
<div class="line"><span class="lineno"> 92</span> <span class="keywordflow">return</span> y;</div>
<div class="line"><span class="lineno"> 93</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 42</span> {</div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">if</span> (n == 1) {</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">return</span> p; <span class="comment">/// Base Case To return</span></div>
<div class="line"><span class="lineno"> 45</span> }</div>
<div class="line"><span class="lineno"> 46</span> </div>
<div class="line"><span class="lineno"> 47</span> <span class="keywordtype">double</span> pi = 2 * asin(1.0); <span class="comment">/// Declaring value of pi</span></div>
<div class="line"><span class="lineno"> 48</span> </div>
<div class="line"><span class="lineno"> 49</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> om = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>(</div>
<div class="line"><span class="lineno"> 50</span> cos(2 * pi / n), sin(2 * pi / n)); <span class="comment">/// Calculating value of omega</span></div>
<div class="line"><span class="lineno"> 51</span> </div>
<div class="line"><span class="lineno"> 52</span> <span class="keyword">auto</span> *pe = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n / 2]; <span class="comment">/// Coefficients of even power</span></div>
<div class="line"><span class="lineno"> 53</span> </div>
<div class="line"><span class="lineno"> 54</span> <span class="keyword">auto</span> *po = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n / 2]; <span class="comment">/// Coefficients of odd power</span></div>
<div class="line"><span class="lineno"> 55</span> </div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordtype">int</span> k1 = 0, k2 = 0;</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">if</span> (j % 2 == 0) {</div>
<div class="line"><span class="lineno"> 59</span> pe[k1++] = p[j]; <span class="comment">/// Assigning values of even Coefficients</span></div>
<div class="line"><span class="lineno"> 60</span> </div>
<div class="line"><span class="lineno"> 61</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 62</span> po[k2++] = p[j]; <span class="comment">/// Assigning value of odd Coefficients</span></div>
<div class="line"><span class="lineno"> 63</span> }</div>
<div class="line"><span class="lineno"> 64</span> }</div>
<div class="line"><span class="lineno"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> *ye =</div>
<div class="line"><span class="lineno"> 67</span> <a class="code hl_function" href="#a158fd271b9a53e8f3f60b08b18857150">FastFourierTransform</a>(pe, n / 2); <span class="comment">/// Recursive Call</span></div>
<div class="line"><span class="lineno"> 68</span> </div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> *yo =</div>
<div class="line"><span class="lineno"> 70</span> <a class="code hl_function" href="#a158fd271b9a53e8f3f60b08b18857150">FastFourierTransform</a>(po, n / 2); <span class="comment">/// Recursive Call</span></div>
<div class="line"><span class="lineno"> 71</span> </div>
<div class="line"><span class="lineno"> 72</span> <span class="keyword">auto</span> *y = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n]; <span class="comment">/// Final value representation list</span></div>
<div class="line"><span class="lineno"> 73</span> </div>
<div class="line"><span class="lineno"> 74</span> k1 = 0, k2 = 0;</div>
<div class="line"><span class="lineno"> 75</span> </div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n / 2; i++) {</div>
<div class="line"><span class="lineno"> 77</span> y[i] =</div>
<div class="line"><span class="lineno"> 78</span> ye[k1] + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(om, i) * yo[k2]; <span class="comment">/// Updating the first n/2 elements</span></div>
<div class="line"><span class="lineno"> 79</span> y[i + n / 2] =</div>
<div class="line"><span class="lineno"> 80</span> ye[k1] - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(om, i) * yo[k2]; <span class="comment">/// Updating the last n/2 elements</span></div>
<div class="line"><span class="lineno"> 81</span> </div>
<div class="line"><span class="lineno"> 82</span> k1++;</div>
<div class="line"><span class="lineno"> 83</span> k2++;</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> <span class="keywordflow">if</span> (n != 2) {</div>
<div class="line"><span class="lineno"> 87</span> <span class="keyword">delete</span>[] pe;</div>
<div class="line"><span class="lineno"> 88</span> <span class="keyword">delete</span>[] po;</div>
<div class="line"><span class="lineno"> 89</span> }</div>
<div class="line"><span class="lineno"> 90</span> </div>
<div class="line"><span class="lineno"> 91</span> <span class="keyword">delete</span>[] ye; <span class="comment">/// Deleting dynamic array ye</span></div>
<div class="line"><span class="lineno"> 92</span> <span class="keyword">delete</span>[] yo; <span class="comment">/// Deleting dynamic array yo</span></div>
<div class="line"><span class="lineno"> 93</span> <span class="keywordflow">return</span> y;</div>
<div class="line"><span class="lineno"> 94</span>}</div>
<div class="ttc" id="acomplex_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex</a></div></div>
<div class="ttc" id="anamespacenumerical__methods_html_a158fd271b9a53e8f3f60b08b18857150"><div class="ttname"><a href="#a158fd271b9a53e8f3f60b08b18857150">numerical_methods::FastFourierTransform</a></div><div class="ttdeci">std::complex&lt; double &gt; * FastFourierTransform(std::complex&lt; double &gt; *p, uint8_t n)</div><div class="ttdoc">FastFourierTransform is a recursive function which returns list of complex numbers.</div><div class="ttdef"><b>Definition</b> fast_fourier_transform.cpp:41</div></div>
<div class="ttc" id="anamespacenumerical__methods_html_a158fd271b9a53e8f3f60b08b18857150"><div class="ttname"><a href="#a158fd271b9a53e8f3f60b08b18857150">numerical_methods::FastFourierTransform</a></div><div class="ttdeci">std::complex&lt; double &gt; * FastFourierTransform(std::complex&lt; double &gt; *p, uint8_t n)</div><div class="ttdoc">FastFourierTransform is a recursive function which returns list of complex numbers.</div><div class="ttdef"><b>Definition</b> fast_fourier_transform.cpp:42</div></div>
<div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
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@@ -361,64 +361,64 @@ y if n!=1 </dd></dl>
<p>Updating the last n/2 elements</p>
<p>Deleting dynamic array ye</p>
<p>Deleting dynamic array yo</p>
<div class="fragment"><div class="line"><span class="lineno"> 34</span> {</div>
<div class="line"><span class="lineno"> 35</span> <span class="keywordflow">if</span> (n == 1) {</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">return</span> p; <span class="comment">/// Base Case To return</span></div>
<div class="line"><span class="lineno"> 37</span> }</div>
<div class="line"><span class="lineno"> 38</span> </div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordtype">double</span> pi = 2 * asin(1.0); <span class="comment">/// Declaring value of pi</span></div>
<div class="line"><span class="lineno"> 40</span> </div>
<div class="line"><span class="lineno"> 41</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> om = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>(</div>
<div class="line"><span class="lineno"> 42</span> cos(2 * pi / n), sin(2 * pi / n)); <span class="comment">/// Calculating value of omega</span></div>
<div class="line"><span class="lineno"> 43</span> </div>
<div class="line"><span class="lineno"> 44</span> om.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">real</a>(om.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">real</a>() / n); <span class="comment">/// One change in comparison with DFT</span></div>
<div class="line"><span class="lineno"> 45</span> om.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">imag</a>(om.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">imag</a>() / n); <span class="comment">/// One change in comparison with DFT</span></div>
<div class="line"><span class="lineno"> 46</span> </div>
<div class="line"><span class="lineno"> 47</span> <span class="keyword">auto</span> *pe = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n / 2]; <span class="comment">/// Coefficients of even power</span></div>
<div class="line"><span class="lineno"> 48</span> </div>
<div class="line"><span class="lineno"> 49</span> <span class="keyword">auto</span> *po = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n / 2]; <span class="comment">/// Coefficients of odd power</span></div>
<div class="line"><span class="lineno"> 50</span> </div>
<div class="line"><span class="lineno"> 51</span> <span class="keywordtype">int</span> k1 = 0, k2 = 0;</div>
<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><span class="lineno"> 53</span> <span class="keywordflow">if</span> (j % 2 == 0) {</div>
<div class="line"><span class="lineno"> 54</span> pe[k1++] = p[j]; <span class="comment">/// Assigning values of even Coefficients</span></div>
<div class="line"><span class="lineno"> 55</span> </div>
<div class="line"><span class="lineno"> 56</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 57</span> po[k2++] = p[j]; <span class="comment">/// Assigning value of odd Coefficients</span></div>
<div class="line"><span class="lineno"> 58</span> }</div>
<div class="line"><span class="lineno"> 59</span> }</div>
<div class="line"><span class="lineno"> 60</span> </div>
<div class="line"><span class="lineno"> 61</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> *ye =</div>
<div class="line"><span class="lineno"> 62</span> <a class="code hl_function" href="#aee56dc85997b8cd42bad71a5d6bd2d93">InverseFastFourierTransform</a>(pe, n / 2); <span class="comment">/// Recursive Call</span></div>
<div class="line"><span class="lineno"> 63</span> </div>
<div class="line"><span class="lineno"> 64</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> *yo =</div>
<div class="line"><span class="lineno"> 65</span> <a class="code hl_function" href="#aee56dc85997b8cd42bad71a5d6bd2d93">InverseFastFourierTransform</a>(po, n / 2); <span class="comment">/// Recursive Call</span></div>
<div class="line"><span class="lineno"> 66</span> </div>
<div class="line"><span class="lineno"> 67</span> <span class="keyword">auto</span> *y = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n]; <span class="comment">/// Final value representation list</span></div>
<div class="line"><span class="lineno"> 68</span> </div>
<div class="line"><span class="lineno"> 69</span> k1 = 0, k2 = 0;</div>
<div class="line"><span class="lineno"> 70</span> </div>
<div class="line"><span class="lineno"> 71</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n / 2; i++) {</div>
<div class="line"><span class="lineno"> 72</span> y[i] =</div>
<div class="line"><span class="lineno"> 73</span> ye[k1] + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(om, i) * yo[k2]; <span class="comment">/// Updating the first n/2 elements</span></div>
<div class="line"><span class="lineno"> 74</span> y[i + n / 2] =</div>
<div class="line"><span class="lineno"> 75</span> ye[k1] - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(om, i) * yo[k2]; <span class="comment">/// Updating the last n/2 elements</span></div>
<div class="line"><span class="lineno"> 76</span> </div>
<div class="line"><span class="lineno"> 77</span> k1++;</div>
<div class="line"><span class="lineno"> 78</span> k2++;</div>
<div class="line"><span class="lineno"> 79</span> }</div>
<div class="line"><span class="lineno"> 80</span> </div>
<div class="line"><span class="lineno"> 81</span> <span class="keywordflow">if</span> (n != 2) {</div>
<div class="line"><span class="lineno"> 82</span> <span class="keyword">delete</span>[] pe;</div>
<div class="line"><span class="lineno"> 83</span> <span class="keyword">delete</span>[] po;</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> <span class="keyword">delete</span>[] ye; <span class="comment">/// Deleting dynamic array ye</span></div>
<div class="line"><span class="lineno"> 87</span> <span class="keyword">delete</span>[] yo; <span class="comment">/// Deleting dynamic array yo</span></div>
<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">return</span> y;</div>
<div class="line"><span class="lineno"> 89</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 35</span> {</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">if</span> (n == 1) {</div>
<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">return</span> p; <span class="comment">/// Base Case To return</span></div>
<div class="line"><span class="lineno"> 38</span> }</div>
<div class="line"><span class="lineno"> 39</span> </div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordtype">double</span> pi = 2 * asin(1.0); <span class="comment">/// Declaring value of pi</span></div>
<div class="line"><span class="lineno"> 41</span> </div>
<div class="line"><span class="lineno"> 42</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> om = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>(</div>
<div class="line"><span class="lineno"> 43</span> cos(2 * pi / n), sin(2 * pi / n)); <span class="comment">/// Calculating value of omega</span></div>
<div class="line"><span class="lineno"> 44</span> </div>
<div class="line"><span class="lineno"> 45</span> om.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">real</a>(om.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">real</a>() / n); <span class="comment">/// One change in comparison with DFT</span></div>
<div class="line"><span class="lineno"> 46</span> om.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">imag</a>(om.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">imag</a>() / n); <span class="comment">/// One change in comparison with DFT</span></div>
<div class="line"><span class="lineno"> 47</span> </div>
<div class="line"><span class="lineno"> 48</span> <span class="keyword">auto</span> *pe = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n / 2]; <span class="comment">/// Coefficients of even power</span></div>
<div class="line"><span class="lineno"> 49</span> </div>
<div class="line"><span class="lineno"> 50</span> <span class="keyword">auto</span> *po = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n / 2]; <span class="comment">/// Coefficients of odd power</span></div>
<div class="line"><span class="lineno"> 51</span> </div>
<div class="line"><span class="lineno"> 52</span> <span class="keywordtype">int</span> k1 = 0, k2 = 0;</div>
<div class="line"><span class="lineno"> 53</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><span class="lineno"> 54</span> <span class="keywordflow">if</span> (j % 2 == 0) {</div>
<div class="line"><span class="lineno"> 55</span> pe[k1++] = p[j]; <span class="comment">/// Assigning values of even Coefficients</span></div>
<div class="line"><span class="lineno"> 56</span> </div>
<div class="line"><span class="lineno"> 57</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 58</span> po[k2++] = p[j]; <span class="comment">/// Assigning value of odd Coefficients</span></div>
<div class="line"><span class="lineno"> 59</span> }</div>
<div class="line"><span class="lineno"> 60</span> }</div>
<div class="line"><span class="lineno"> 61</span> </div>
<div class="line"><span class="lineno"> 62</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> *ye =</div>
<div class="line"><span class="lineno"> 63</span> <a class="code hl_function" href="#aee56dc85997b8cd42bad71a5d6bd2d93">InverseFastFourierTransform</a>(pe, n / 2); <span class="comment">/// Recursive Call</span></div>
<div class="line"><span class="lineno"> 64</span> </div>
<div class="line"><span class="lineno"> 65</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a> *yo =</div>
<div class="line"><span class="lineno"> 66</span> <a class="code hl_function" href="#aee56dc85997b8cd42bad71a5d6bd2d93">InverseFastFourierTransform</a>(po, n / 2); <span class="comment">/// Recursive Call</span></div>
<div class="line"><span class="lineno"> 67</span> </div>
<div class="line"><span class="lineno"> 68</span> <span class="keyword">auto</span> *y = <span class="keyword">new</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex&lt;double&gt;</a>[n]; <span class="comment">/// Final value representation list</span></div>
<div class="line"><span class="lineno"> 69</span> </div>
<div class="line"><span class="lineno"> 70</span> k1 = 0, k2 = 0;</div>
<div class="line"><span class="lineno"> 71</span> </div>
<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n / 2; i++) {</div>
<div class="line"><span class="lineno"> 73</span> y[i] =</div>
<div class="line"><span class="lineno"> 74</span> ye[k1] + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(om, i) * yo[k2]; <span class="comment">/// Updating the first n/2 elements</span></div>
<div class="line"><span class="lineno"> 75</span> y[i + n / 2] =</div>
<div class="line"><span class="lineno"> 76</span> ye[k1] - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(om, i) * yo[k2]; <span class="comment">/// Updating the last n/2 elements</span></div>
<div class="line"><span class="lineno"> 77</span> </div>
<div class="line"><span class="lineno"> 78</span> k1++;</div>
<div class="line"><span class="lineno"> 79</span> k2++;</div>
<div class="line"><span class="lineno"> 80</span> }</div>
<div class="line"><span class="lineno"> 81</span> </div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">if</span> (n != 2) {</div>
<div class="line"><span class="lineno"> 83</span> <span class="keyword">delete</span>[] pe;</div>
<div class="line"><span class="lineno"> 84</span> <span class="keyword">delete</span>[] po;</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="keyword">delete</span>[] ye; <span class="comment">/// Deleting dynamic array ye</span></div>
<div class="line"><span class="lineno"> 88</span> <span class="keyword">delete</span>[] yo; <span class="comment">/// Deleting dynamic array yo</span></div>
<div class="line"><span class="lineno"> 89</span> <span class="keywordflow">return</span> y;</div>
<div class="line"><span class="lineno"> 90</span>}</div>
<div class="ttc" id="aimag_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">std::complex::imag</a></div><div class="ttdeci">T imag(T... args)</div></div>
<div class="ttc" id="anamespacenumerical__methods_html_aee56dc85997b8cd42bad71a5d6bd2d93"><div class="ttname"><a href="#aee56dc85997b8cd42bad71a5d6bd2d93">numerical_methods::InverseFastFourierTransform</a></div><div class="ttdeci">std::complex&lt; double &gt; * InverseFastFourierTransform(std::complex&lt; double &gt; *p, uint8_t n)</div><div class="ttdoc">InverseFastFourierTransform is a recursive function which returns list of complex numbers.</div><div class="ttdef"><b>Definition</b> inverse_fast_fourier_transform.cpp:33</div></div>
<div class="ttc" id="anamespacenumerical__methods_html_aee56dc85997b8cd42bad71a5d6bd2d93"><div class="ttname"><a href="#aee56dc85997b8cd42bad71a5d6bd2d93">numerical_methods::InverseFastFourierTransform</a></div><div class="ttdeci">std::complex&lt; double &gt; * InverseFastFourierTransform(std::complex&lt; double &gt; *p, uint8_t n)</div><div class="ttdoc">InverseFastFourierTransform is a recursive function which returns list of complex numbers.</div><div class="ttdef"><b>Definition</b> inverse_fast_fourier_transform.cpp:34</div></div>
<div class="ttc" id="areal_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">std::complex::real</a></div><div class="ttdeci">T real(T... args)</div></div>
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@@ -115,18 +115,19 @@ $(function(){initNavTree('d1/de9/integral__approximation_8cpp.html','../../'); i
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;functional&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for integral_approximation.cpp:</div>
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</div>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
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="../../dd/d47/namespacemath.html">math</a></td></tr>
<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for IO operations <br /></td></tr>
<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for assert <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
@@ -166,10 +167,10 @@ Functions</h2></td></tr>
<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"> 122</span> {</div>
<div class="line"><span class="lineno"> 123</span> <a class="code hl_function" href="../../d6/d2c/caesar__cipher_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 124</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 125</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 133</span> {</div>
<div class="line"><span class="lineno"> 134</span> <a class="code hl_function" href="../../d6/d2c/caesar__cipher_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 135</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 136</span>}</div>
<div class="ttc" id="acaesar__cipher_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d6/d2c/caesar__cipher_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition</b> caesar_cipher.cpp:100</div></div>
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@@ -201,59 +202,59 @@ Here is the call graph for this function:</div>
</tr>
</table>
</div><div class="memdoc">
<div class="fragment"><div class="line"><span class="lineno"> 64</span> {</div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
<div class="line"><span class="lineno"> 66</span> 3.24, 7.56, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/log.html">log</a>(x) + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">exp</a>(x) + x; });</div>
<div class="line"><span class="lineno"> 67</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;Test Case 1&quot;</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"> 68</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;function: log(x) + e^x + x&quot;</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"> 69</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;range: [3.24, 7.56]&quot;</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"> 70</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;value: &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> &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"> 71</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a>, 1924.80384023549, .001);</div>
<div class="line"><span class="lineno"> 72</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;Test 1 Passed!&quot;</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"> 73</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;=====================&quot;</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"> 74</span> </div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(0.023, 3.69, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) {</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordflow">return</span> x * x + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(x) + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">exp</a>(x) + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/log.html">log</a>(x) * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/log.html">log</a>(x);</div>
<div class="line"><span class="lineno"> 77</span> });</div>
<div class="line"><span class="lineno"> 78</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;Test Case 2&quot;</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"> 79</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;function: x^2 + cos(x) + e^x + log^2(x)&quot;</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"> 80</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;range: [.023, 3.69]&quot;</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"> 81</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;value: &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> &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"> 82</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a>, 58.71291345202729, .001);</div>
<div class="line"><span class="lineno"> 83</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;Test 2 Passed!&quot;</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="fragment"><div class="line"><span class="lineno"> 75</span> {</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
<div class="line"><span class="lineno"> 77</span> 3.24, 7.56, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/log.html">log</a>(x) + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">exp</a>(x) + x; });</div>
<div class="line"><span class="lineno"> 78</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;Test Case 1&quot;</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"> 79</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;function: log(x) + e^x + x&quot;</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"> 80</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;range: [3.24, 7.56]&quot;</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"> 81</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;value: &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> &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"> 82</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a>, 1924.80384023549, .001);</div>
<div class="line"><span class="lineno"> 83</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;Test 1 Passed!&quot;</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"> 84</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;=====================&quot;</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"> 85</span> </div>
<div class="line"><span class="lineno"> 86</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
<div class="line"><span class="lineno"> 87</span> 10.78, 24.899, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> x * x * x - x * x + 378; });</div>
<div class="line"><span class="lineno"> 88</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;Test Case 3&quot;</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"> 89</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;function: x^3 - x^2 + 378&quot;</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"> 90</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;range: [10.78, 24.899]&quot;</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"> 91</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;value: &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> &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"> 92</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a>, 93320.65915078377, .001);</div>
<div class="line"><span class="lineno"> 93</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;Test 3 Passed!&quot;</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"> 94</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;=====================&quot;</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"> 95</span> </div>
<div class="line"><span class="lineno"> 96</span> <span class="keywordtype">double</span> test_4 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
<div class="line"><span class="lineno"> 97</span> .101, .505,</div>
<div class="line"><span class="lineno"> 98</span> [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(x) * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/tan.html">tan</a>(x) * x * x + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">exp</a>(x); },</div>
<div class="line"><span class="lineno"> 99</span> .00001);</div>
<div class="line"><span class="lineno"> 100</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;Test Case 4&quot;</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"> 101</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;function: cos(x)*tan(x)*x^2 + e^x&quot;</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"> 102</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;range: [.101, .505]&quot;</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"> 103</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;value: &quot;</span> &lt;&lt; test_4 &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"> 104</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(test_4, 0.566485986311631, .001);</div>
<div class="line"><span class="lineno"> 105</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;Test 4 Passed!&quot;</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"> 106</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;=====================&quot;</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="line"><span class="lineno"> 108</span> <span class="keywordtype">double</span> test_5 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
<div class="line"><span class="lineno"> 109</span> -1, 1, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">exp</a>(-1 / (x * x)); });</div>
<div class="line"><span class="lineno"> 110</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;Test Case 5&quot;</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"> 111</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;function: e^(-1/x^2)&quot;</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"> 112</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;range: [-1, 1]&quot;</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"> 113</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;value: &quot;</span> &lt;&lt; test_5 &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"> 114</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(test_5, 0.1781477117815607, .001);</div>
<div class="line"><span class="lineno"> 115</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;Test 5 Passed!&quot;</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"> 116</span>}</div>
<div class="line"><span class="lineno"> 86</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(0.023, 3.69, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) {</div>
<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">return</span> x * x + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(x) + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">exp</a>(x) + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/log.html">log</a>(x) * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/log.html">log</a>(x);</div>
<div class="line"><span class="lineno"> 88</span> });</div>
<div class="line"><span class="lineno"> 89</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;Test Case 2&quot;</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"> 90</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;function: x^2 + cos(x) + e^x + log^2(x)&quot;</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"> 91</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;range: [.023, 3.69]&quot;</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"> 92</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;value: &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> &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"> 93</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a>, 58.71291345202729, .001);</div>
<div class="line"><span class="lineno"> 94</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;Test 2 Passed!&quot;</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"> 95</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;=====================&quot;</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"> 96</span> </div>
<div class="line"><span class="lineno"> 97</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
<div class="line"><span class="lineno"> 98</span> 10.78, 24.899, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> x * x * x - x * x + 378; });</div>
<div class="line"><span class="lineno"> 99</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;Test Case 3&quot;</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"> 100</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;function: x^3 - x^2 + 378&quot;</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"> 101</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;range: [10.78, 24.899]&quot;</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"> 102</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;value: &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> &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"> 103</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a>, 93320.65915078377, .001);</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;Test 3 Passed!&quot;</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"> 105</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;=====================&quot;</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"> 106</span> </div>
<div class="line"><span class="lineno"> 107</span> <span class="keywordtype">double</span> test_4 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
<div class="line"><span class="lineno"> 108</span> .101, .505,</div>
<div class="line"><span class="lineno"> 109</span> [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(x) * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/tan.html">tan</a>(x) * x * x + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">exp</a>(x); },</div>
<div class="line"><span class="lineno"> 110</span> .00001);</div>
<div class="line"><span class="lineno"> 111</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;Test Case 4&quot;</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"> 112</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;function: cos(x)*tan(x)*x^2 + e^x&quot;</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"> 113</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;range: [.101, .505]&quot;</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"> 114</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;value: &quot;</span> &lt;&lt; test_4 &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"> 115</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(test_4, 0.566485986311631, .001);</div>
<div class="line"><span class="lineno"> 116</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;Test 4 Passed!&quot;</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"> 117</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;=====================&quot;</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"> 118</span> </div>
<div class="line"><span class="lineno"> 119</span> <span class="keywordtype">double</span> test_5 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
<div class="line"><span class="lineno"> 120</span> -1, 1, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">exp</a>(-1 / (x * x)); });</div>
<div class="line"><span class="lineno"> 121</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;Test Case 5&quot;</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"> 122</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;function: e^(-1/x^2)&quot;</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"> 123</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;range: [-1, 1]&quot;</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"> 124</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;value: &quot;</span> &lt;&lt; test_5 &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"> 125</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(test_5, 0.1781477117815607, .001);</div>
<div class="line"><span class="lineno"> 126</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;Test 5 Passed!&quot;</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"> 127</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="acos_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a></div><div class="ttdeci">T cos(T... args)</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>
@@ -262,8 +263,8 @@ Here is the call graph for this function:</div>
<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a458410412185a5f09199deaff7157a8d"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a></div><div class="ttdeci">static void test_2()</div><div class="ttdef"><b>Definition</b> heavy_light_decomposition.cpp:549</div></div>
<div class="ttc" id="aheavy__light__decomposition_8cpp_html_af31ec5409537703d9c8a47350386b32a"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a></div><div class="ttdeci">static void test_3()</div><div class="ttdef"><b>Definition</b> heavy_light_decomposition.cpp:592</div></div>
<div class="ttc" id="alog_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/log.html">std::log</a></div><div class="ttdeci">T log(T... args)</div></div>
<div class="ttc" id="anamespacemath_html_a50936ee98f4d40f17823befc65a32aec"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a></div><div class="ttdeci">void test_eval(double approx, double expected, double threshold)</div><div class="ttdoc">Wrapper to evaluate if the approximated value is within .XX% threshold of the exact value.</div><div class="ttdef"><b>Definition</b> integral_approximation.cpp:51</div></div>
<div class="ttc" id="anamespacemath_html_aec65db4e5c7317323227f026fe50ef11"><div class="ttname"><a href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a></div><div class="ttdeci">double integral_approx(double lb, double ub, const std::function&lt; double(double)&gt; &amp;func, double delta=.0001)</div><div class="ttdoc">Computes integral approximation.</div><div class="ttdef"><b>Definition</b> integral_approximation.cpp:31</div></div>
<div class="ttc" id="anamespacemath_html_a50936ee98f4d40f17823befc65a32aec"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a></div><div class="ttdeci">void test_eval(double approx, double expected, double threshold)</div><div class="ttdoc">Wrapper to evaluate if the approximated value is within .XX% threshold of the exact value.</div><div class="ttdef"><b>Definition</b> integral_approximation.cpp:62</div></div>
<div class="ttc" id="anamespacemath_html_aec65db4e5c7317323227f026fe50ef11"><div class="ttname"><a href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a></div><div class="ttdeci">double integral_approx(double lb, double ub, const std::function&lt; double(double)&gt; &amp;func, double delta=.0001)</div><div class="ttdoc">Computes integral approximation.</div><div class="ttdef"><b>Definition</b> integral_approximation.cpp:42</div></div>
<div class="ttc" id="atan_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/tan.html">std::tan</a></div><div class="ttdeci">T tan(T... args)</div></div>
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d1/df6/class_easter_year_month_day.html
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<p>for IO operations
<p>for assert
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<div class="textblock"><p>for assert </p>
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<div class="fragment"><div class="line"><span class="lineno"> 32</span> {</div>
<div class="line"><span class="lineno"> 33</span> <a class="code hl_variable" href="#a28d3cd09391390250932b7fb58fe61dc">year</a> = newYear; <span class="comment">// Assigns year to class</span></div>
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<div class="line"><span class="lineno"> 35</span> <a class="code hl_variable" href="#ade0b934e5b1af24e19ff959673b2ec51">day</a> = newDay;</div>
<div class="line"><span class="lineno"> 36</span> }</div>
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<div class="ttc" id="aclass_easter_year_month_day_html_a28d3cd09391390250932b7fb58fe61dc"><div class="ttname"><a href="#a28d3cd09391390250932b7fb58fe61dc">EasterYearMonthDay::year</a></div><div class="ttdeci">uint64_t year</div><div class="ttdoc">year Easter is on</div><div class="ttdef"><b>Definition</b> easter.cpp:28</div></div>
<div class="ttc" id="aclass_easter_year_month_day_html_ade0b934e5b1af24e19ff959673b2ec51"><div class="ttname"><a href="#ade0b934e5b1af24e19ff959673b2ec51">EasterYearMonthDay::day</a></div><div class="ttdeci">uint64_t day</div><div class="ttdoc">day Easter is on</div><div class="ttdef"><b>Definition</b> easter.cpp:30</div></div>
<div class="fragment"><div class="line"><span class="lineno"> 33</span> {</div>
<div class="line"><span class="lineno"> 34</span> <a class="code hl_variable" href="#a28d3cd09391390250932b7fb58fe61dc">year</a> = newYear; <span class="comment">// Assigns year to class</span></div>
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</div>
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d2/d0b/fast__power_8cpp.html
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d3/d22/saddleback__search_8cpp.html
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<p>Implementation of <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array" target="_blank">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;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
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="../../d9/dca/namespacesearch.html">search</a></td></tr>
<tr class="memdesc:d9/dca/namespacesearch"><td class="mdescLeft">&#160;</td><td class="mdescRight">for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> <br /></td></tr>
<tr class="memdesc:d9/dca/namespacesearch"><td class="mdescLeft">&#160;</td><td class="mdescRight">for std::assert <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/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" target="_blank">Saddleback Algorithm</a>. <br /></td></tr>
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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"> 103</span> {</div>
<div class="line"><span class="lineno"> 104</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
<div class="line"><span class="lineno"> 105</span> <span class="keywordflow">return</span> 0;</div>
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<div class="fragment"><div class="line"><span class="lineno"> 112</span> {</div>
<div class="line"><span class="lineno"> 113</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
<div class="line"><span class="lineno"> 114</span> <span class="keywordflow">return</span> 0;</div>
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<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>
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<div class="fragment"><div class="line"><span class="lineno"> 34</span> {</div>
<div class="line"><span class="lineno"> 35</span> uint32_t left_index = 0;</div>
<div class="line"><span class="lineno"> 36</span> uint32_t right_index = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[0].<a class="code hl_functionRef" 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"><span class="lineno"> 37</span> <span class="keywordflow">while</span> (left_index &lt; <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>.<a class="code hl_functionRef" 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"><span class="lineno"> 38</span> <span class="keywordflow">if</span> (element ==</div>
<div class="line"><span class="lineno"> 39</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[left_index]</div>
<div class="line"><span class="lineno"> 40</span> [right_index]) { <span class="comment">// If value on this position of matrix is</span></div>
<div class="line"><span class="lineno"> 41</span> <span class="comment">// equal to element, return (row, column).</span></div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" 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"><span class="lineno"> 43</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (element &gt;</div>
<div class="line"><span class="lineno"> 44</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[left_index]</div>
<div class="line"><span class="lineno"> 45</span> [right_index]) { <span class="comment">// Else if value on this position of</span></div>
<div class="line"><span class="lineno"> 46</span> <span class="comment">// matrix is less than the element,</span></div>
<div class="line"><span class="lineno"> 47</span> <span class="comment">// move left.</span></div>
<div class="line"><span class="lineno"> 48</span> ++left_index;</div>
<div class="line"><span class="lineno"> 49</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (element &lt;</div>
<div class="line"><span class="lineno"> 50</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[left_index]</div>
<div class="line"><span class="lineno"> 51</span> [right_index]) { <span class="comment">// Else if value on this position of</span></div>
<div class="line"><span class="lineno"> 52</span> <span class="comment">// matrix is greater than the</span></div>
<div class="line"><span class="lineno"> 53</span> <span class="comment">// element, move down.</span></div>
<div class="line"><span class="lineno"> 54</span> <span class="keywordflow">if</span>(!right_index)</div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordflow">break</span>;</div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">else</span> --right_index;</div>
<div class="line"><span class="lineno"> 57</span> }</div>
<div class="line"><span class="lineno"> 58</span> }</div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(</div>
<div class="line"><span class="lineno"> 60</span> 0, 0); <span class="comment">// If the program reaches here, that means one of the index</span></div>
<div class="line"><span class="lineno"> 61</span> <span class="comment">// went out of index, hence no element present.</span></div>
<div class="line"><span class="lineno"> 62</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 40</span> {</div>
<div class="line"><span class="lineno"> 41</span> uint32_t left_index = 0;</div>
<div class="line"><span class="lineno"> 42</span> uint32_t right_index = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[0].<a class="code hl_functionRef" 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"><span class="lineno"> 43</span> <span class="keywordflow">while</span> (left_index &lt;</div>
<div class="line"><span class="lineno"> 44</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>.<a class="code hl_functionRef" 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"><span class="lineno"> 45</span> <span class="keywordflow">if</span> (element ==</div>
<div class="line"><span class="lineno"> 46</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[left_index]</div>
<div class="line"><span class="lineno"> 47</span> [right_index]) { <span class="comment">// If value on this position of matrix is</span></div>
<div class="line"><span class="lineno"> 48</span> <span class="comment">// equal to element, return (row, column).</span></div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" 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"><span class="lineno"> 50</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (element &gt;</div>
<div class="line"><span class="lineno"> 51</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[left_index]</div>
<div class="line"><span class="lineno"> 52</span> [right_index]) { <span class="comment">// Else if value on this position of</span></div>
<div class="line"><span class="lineno"> 53</span> <span class="comment">// matrix is less than the element,</span></div>
<div class="line"><span class="lineno"> 54</span> <span class="comment">// move left.</span></div>
<div class="line"><span class="lineno"> 55</span> ++left_index;</div>
<div class="line"><span class="lineno"> 56</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (element &lt;</div>
<div class="line"><span class="lineno"> 57</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>[left_index]</div>
<div class="line"><span class="lineno"> 58</span> [right_index]) { <span class="comment">// Else if value on this position of</span></div>
<div class="line"><span class="lineno"> 59</span> <span class="comment">// matrix is greater than the</span></div>
<div class="line"><span class="lineno"> 60</span> <span class="comment">// element, move down.</span></div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">if</span> (!right_index)</div>
<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">break</span>;</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 64</span> --right_index;</div>
<div class="line"><span class="lineno"> 65</span> }</div>
<div class="line"><span class="lineno"> 66</span> }</div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(</div>
<div class="line"><span class="lineno"> 68</span> 0, 0); <span class="comment">// If the program reaches here, that means one of the index</span></div>
<div class="line"><span class="lineno"> 69</span> <span class="comment">// went out of index, hence no element present.</span></div>
<div class="line"><span class="lineno"> 70</span>}</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>
<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="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
@@ -270,36 +273,37 @@ Here is the call graph for this function:</div>
<p>Test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 70</span> {</div>
<div class="line"><span class="lineno"> 71</span> <a class="code hl_classRef" 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="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a> = {{1, 10, 100, 1000, 10000},</div>
<div class="line"><span class="lineno"> 72</span> {2, 20, 200, 2000, 20000},</div>
<div class="line"><span class="lineno"> 73</span> {3, 30, 300, 3000, 30000},</div>
<div class="line"><span class="lineno"> 74</span> {4, 40, 400, 4000, 40000},</div>
<div class="line"><span class="lineno"> 75</span> {5, 50, 500, 5000, 50000}};</div>
<div class="line"><span class="lineno"> 76</span> </div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_classRef" 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="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(0, 0);</div>
<div class="line"><span class="lineno"> 78</span> <a class="code hl_classRef" 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"><span class="lineno"> 79</span> <span class="comment">// Test 1</span></div>
<div class="line"><span class="lineno"> 80</span> <a class="code hl_classRef" 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 hl_function" href="#ad1e0ca34797d88490747c08eca70a2e6">search::saddleback::saddleback</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 123);</div>
<div class="line"><span class="lineno"> 81</span> assert(not_found == answer1);</div>
<div class="line"><span class="lineno"> 82</span> <span class="comment">// Test 2</span></div>
<div class="line"><span class="lineno"> 83</span> answer1 = <a class="code hl_function" href="#ad1e0ca34797d88490747c08eca70a2e6">search::saddleback::saddleback</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 0);</div>
<div class="line"><span class="lineno"> 84</span> assert(not_found == answer1);</div>
<div class="line"><span class="lineno"> 85</span> <span class="comment">// Test 3</span></div>
<div class="line"><span class="lineno"> 86</span> answer1 = <a class="code hl_function" href="#ad1e0ca34797d88490747c08eca70a2e6">search::saddleback::saddleback</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 1);</div>
<div class="line"><span class="lineno"> 87</span> test_answer = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(1, 1);</div>
<div class="line"><span class="lineno"> 88</span> assert(test_answer == answer1);</div>
<div class="line"><span class="lineno"> 89</span> <span class="comment">// Test 4</span></div>
<div class="line"><span class="lineno"> 90</span> answer1 = <a class="code hl_function" href="#ad1e0ca34797d88490747c08eca70a2e6">search::saddleback::saddleback</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 50000);</div>
<div class="line"><span class="lineno"> 91</span> test_answer = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(5, 5);</div>
<div class="line"><span class="lineno"> 92</span> assert(test_answer == answer1);</div>
<div class="line"><span class="lineno"> 93</span> <span class="comment">// Test 5</span></div>
<div class="line"><span class="lineno"> 94</span> answer1 = <a class="code hl_function" href="#ad1e0ca34797d88490747c08eca70a2e6">search::saddleback::saddleback</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 300);</div>
<div class="line"><span class="lineno"> 95</span> test_answer = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(3, 3);</div>
<div class="line"><span class="lineno"> 96</span> assert(test_answer == answer1);</div>
<div class="line"><span class="lineno"> 97</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 78</span> {</div>
<div class="line"><span class="lineno"> 79</span> <a class="code hl_classRef" 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="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a> = {{1, 10, 100, 1000, 10000},</div>
<div class="line"><span class="lineno"> 80</span> {2, 20, 200, 2000, 20000},</div>
<div class="line"><span class="lineno"> 81</span> {3, 30, 300, 3000, 30000},</div>
<div class="line"><span class="lineno"> 82</span> {4, 40, 400, 4000, 40000},</div>
<div class="line"><span class="lineno"> 83</span> {5, 50, 500, 5000, 50000}};</div>
<div class="line"><span class="lineno"> 84</span> </div>
<div class="line"><span class="lineno"> 85</span> <a class="code hl_classRef" 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="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(0, 0);</div>
<div class="line"><span class="lineno"> 86</span> <a class="code hl_classRef" 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"><span class="lineno"> 87</span> <span class="comment">// Test 1</span></div>
<div class="line"><span class="lineno"> 88</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair&lt;uint32_t, uint32_t&gt;</a> answer1 =</div>
<div class="line"><span class="lineno"> 89</span> <a class="code hl_function" href="#ad1e0ca34797d88490747c08eca70a2e6">search::saddleback::saddleback</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 123);</div>
<div class="line"><span class="lineno"> 90</span> assert(not_found == answer1);</div>
<div class="line"><span class="lineno"> 91</span> <span class="comment">// Test 2</span></div>
<div class="line"><span class="lineno"> 92</span> answer1 = <a class="code hl_function" href="#ad1e0ca34797d88490747c08eca70a2e6">search::saddleback::saddleback</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 0);</div>
<div class="line"><span class="lineno"> 93</span> assert(not_found == answer1);</div>
<div class="line"><span class="lineno"> 94</span> <span class="comment">// Test 3</span></div>
<div class="line"><span class="lineno"> 95</span> answer1 = <a class="code hl_function" href="#ad1e0ca34797d88490747c08eca70a2e6">search::saddleback::saddleback</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 1);</div>
<div class="line"><span class="lineno"> 96</span> test_answer = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(1, 1);</div>
<div class="line"><span class="lineno"> 97</span> assert(test_answer == answer1);</div>
<div class="line"><span class="lineno"> 98</span> <span class="comment">// Test 4</span></div>
<div class="line"><span class="lineno"> 99</span> answer1 = <a class="code hl_function" href="#ad1e0ca34797d88490747c08eca70a2e6">search::saddleback::saddleback</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 50000);</div>
<div class="line"><span class="lineno"> 100</span> test_answer = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(5, 5);</div>
<div class="line"><span class="lineno"> 101</span> assert(test_answer == answer1);</div>
<div class="line"><span class="lineno"> 102</span> <span class="comment">// Test 5</span></div>
<div class="line"><span class="lineno"> 103</span> answer1 = <a class="code hl_function" href="#ad1e0ca34797d88490747c08eca70a2e6">search::saddleback::saddleback</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix</a>, 300);</div>
<div class="line"><span class="lineno"> 104</span> test_answer = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(3, 3);</div>
<div class="line"><span class="lineno"> 105</span> assert(test_answer == answer1);</div>
<div class="line"><span class="lineno"> 106</span>}</div>
<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="asaddleback__search_8cpp_html_ad1e0ca34797d88490747c08eca70a2e6"><div class="ttname"><a href="#ad1e0ca34797d88490747c08eca70a2e6">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_ad1e0ca34797d88490747c08eca70a2e6"><div class="ttname"><a href="#ad1e0ca34797d88490747c08eca70a2e6">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:39</div></div>
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<div class="line"><span class="lineno"> 210</span> </div>
<div class="line"><span class="lineno"> 211</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
<div class="line"><span class="lineno"> 212</span> }</div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> fibonacci_sum.cpp:76</div></div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> fibonacci_sum.cpp:77</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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