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<div class="headertitle"><div class="title">count_inversions.cpp</div></div>
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<a href="../../d2/d26/count__inversions_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="preprocessor">#include &lt;cstdint&gt;</span> </div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="preprocessor">#include &lt;vector&gt;</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d5/d91/namespacesorting.html">sorting</a> {</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d9/d13/namespaceinversion.html">inversion</a> {</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span><span class="comment">// Functions used ---&gt;</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span><span class="comment">// int mergeSort(int* arr, int* temp, int left, int right);</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="comment">// int merge(int* arr, int* temp, int left, int mid, int right);</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment">// int countInversion(int* arr, const int size);</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="comment">// void show(int* arr, const int size);</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00085" data-start="{" data-end="}">
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"><a class="line" href="../../d2/d26/count__inversions_8cpp.html#aad643c14734394e784a75169cb58132f"> 85</a></span>uint32_t <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#aad643c14734394e784a75169cb58132f">merge</a>(T* arr, T* temp, uint32_t left, uint32_t mid, uint32_t right) {</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> uint32_t i = left; <span class="comment">/* i --&gt; index of left sub-array */</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> uint32_t j = mid + 1; <span class="comment">/* j --&gt; index for right sub-array */</span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> uint32_t k = left; <span class="comment">/* k --&gt; index for resultant array temp */</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> uint32_t inv_count = 0; <span class="comment">// inversion count</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">while</span> ((i &lt;= mid) &amp;&amp; (j &lt;= right)) {</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">if</span> (arr[i] &lt;= arr[j]) {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> temp[k++] = arr[i++];</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> temp[k++] = arr[j++];</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> inv_count +=</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> (mid - i +</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> 1); <span class="comment">// tricky; may vary depending on selection of sub-array</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> }</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> }</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// Add remaining elements from the larger subarray to the end of temp</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">while</span> (i &lt;= mid) {</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> temp[k++] = arr[i++];</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> }</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordflow">while</span> (j &lt;= right) {</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> temp[k++] = arr[j++];</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> }</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="comment">// Copy temp[] to arr[]</span></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordflow">for</span> (k = left; k &lt;= right; k++) {</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> arr[k] = temp[k];</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> }</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">return</span> inv_count;</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span>}</div>
</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00132" data-start="{" data-end="}">
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"><a class="line" href="../../d2/d26/count__inversions_8cpp.html#ae97a486e14101c4822ea8dc47f0d1661"> 132</a></span>uint32_t <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#ae97a486e14101c4822ea8dc47f0d1661">mergeSort</a>(T* arr, T* temp, uint32_t left, uint32_t right) {</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> uint32_t mid = 0, inv_count = 0;</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">if</span> (right &gt; left) {</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="comment">// midpoint to split the array</span></div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> mid = (right + left) / 2;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="comment">// Add inversions in left and right sub-arrays</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> inv_count += <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#ae97a486e14101c4822ea8dc47f0d1661">mergeSort</a>(arr, temp, left, mid); <span class="comment">// left sub-array</span></div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> inv_count += <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#ae97a486e14101c4822ea8dc47f0d1661">mergeSort</a>(arr, temp, mid + 1, right);</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> </div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">// inversions in the merge step</span></div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> inv_count += <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#aad643c14734394e784a75169cb58132f">merge</a>(arr, temp, left, mid, right);</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> }</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordflow">return</span> inv_count;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span>}</div>
</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span><span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00164" data-start="{" data-end="}">
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"><a class="line" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80"> 164</a></span>uint32_t <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">countInversion</a>(T* arr, <span class="keyword">const</span> uint32_t size) {</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> std::vector&lt;T&gt; temp;</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> temp.reserve(size);</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> temp.assign(size, 0);</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#ae97a486e14101c4822ea8dc47f0d1661">mergeSort</a>(arr, temp.data(), 0, size - 1);</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span>}</div>
</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span></div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00179" data-start="{" data-end="}">
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"><a class="line" href="../../d2/d26/count__inversions_8cpp.html#a851ca6a0391d14fb49a97d55e4377497"> 179</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#a851ca6a0391d14fb49a97d55e4377497">show</a>(T* arr, <span class="keyword">const</span> uint32_t array_size) {</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Printing array: \n&quot;</span>;</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keywordflow">for</span> (uint32_t i = 0; i &lt; array_size; i++) {</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> std::cout &lt;&lt; <span class="stringliteral">&quot; &quot;</span> &lt;&lt; arr[i];</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> }</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span>}</div>
</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> </div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span>} <span class="comment">// namespace inversion</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span>} <span class="comment">// namespace sorting</span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span></div>
<div class="foldopen" id="foldopen00194" data-start="{" data-end="}">
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"><a class="line" href="../../d2/d26/count__inversions_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 194</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="comment">// Test 1</span></div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> std::vector&lt;uint64_t&gt; arr1 = {</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84,</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67,</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50,</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33,</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16,</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> uint32_t size1 = arr1.size();</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> uint32_t inv_count1 = 4950;</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> uint32_t result1 = <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">sorting::inversion::countInversion</a>(arr1.data(), size1);</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> assert(inv_count1 == result1);</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="comment">// Test 2</span></div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> std::vector&lt;int&gt; arr2 = {22, 66, 75, 23, 11, 87, 2, 44, 98, 43};</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> uint32_t size2 = arr2.size();</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> uint32_t inv_count2 = 20;</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> uint32_t result2 = <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">sorting::inversion::countInversion</a>(arr2.data(), size2);</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> assert(inv_count2 == result2);</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="comment">// Test 3</span></div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> std::vector&lt;double&gt; arr3 = {33.1, 45.2, 65.4, 76.5, 1.0,</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> 2.9, 5.4, 7.7, 88.9, 12.4};</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> uint32_t size3 = arr3.size();</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> uint32_t inv_count3 = 21;</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> uint32_t result3 = <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">sorting::inversion::countInversion</a>(arr3.data(), size3);</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> assert(inv_count3 == result3);</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="comment">// Test 4</span></div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> std::vector&lt;char&gt; arr4 = {<span class="charliteral">&#39;a&#39;</span>, <span class="charliteral">&#39;b&#39;</span>, <span class="charliteral">&#39;c&#39;</span>, <span class="charliteral">&#39;d&#39;</span>, <span class="charliteral">&#39;e&#39;</span>};</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> uint32_t size4 = arr4.size();</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> uint32_t inv_count4 = 0;</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> uint32_t result4 = <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">sorting::inversion::countInversion</a>(arr4.data(), size4);</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> assert(inv_count4 == result4);</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span>}</div>
</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> </div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span><span class="comment">// /**</span></div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span><span class="comment">// * @brief Program Body contains all main funtionality</span></div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span><span class="comment">// * @returns void</span></div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span><span class="comment">// */</span></div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span><span class="comment">// template &lt;typename T&gt;</span></div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span><span class="comment">// static void body() {</span></div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span><span class="comment">// // Input your own sequence</span></div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span><span class="comment">// uint_t size;</span></div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span><span class="comment">// T input;</span></div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span><span class="comment">// std::cout &lt;&lt; &quot;Enter number of elements:&quot;;</span></div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span><span class="comment">// std::cin &gt;&gt; size;</span></div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span><span class="comment">//</span></div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span><span class="comment">// std::vector&lt;T&gt; arr;</span></div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span><span class="comment">// arr.reserve(size);</span></div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span><span class="comment">//</span></div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span><span class="comment">// std::cout &lt;&lt; &quot;Enter elements --&gt;\n&quot;;</span></div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span><span class="comment">// for (uint64_t i=1; i&lt;=size; i++) {</span></div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span><span class="comment">// std::cout &lt;&lt; &quot;Element &quot;&lt;&lt; i &lt;&lt;&quot; :&quot;;</span></div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span><span class="comment">// std::cin &gt;&gt; input;</span></div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span><span class="comment">// arr.push_back(input);</span></div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span><span class="comment">// }</span></div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span><span class="comment">//</span></div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span><span class="comment">// if (size != arr.size()) {</span></div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span><span class="comment">// size = arr.size();</span></div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span><span class="comment">// }</span></div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span><span class="comment">//</span></div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span><span class="comment">// std::cout &lt;&lt; &quot;\n&quot;;</span></div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span><span class="comment">// sorting::inversion::show(arr.data(), size);</span></div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span><span class="comment">// std::cout &lt;&lt; &quot;\n&quot;;</span></div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span><span class="comment">//</span></div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span><span class="comment">// // Counting inversions</span></div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span><span class="comment">// std::cout &lt;&lt; &quot;\nThe number of inversions: &quot;&lt;&lt;</span></div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span><span class="comment">// sorting::inversion::countInversion(arr.data(), size) &lt;&lt; &quot;\n&quot;;</span></div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span><span class="comment">//</span></div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span><span class="comment">// // Output sorted array</span></div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span><span class="comment">// std::cout &lt;&lt; &quot;\nSorted array --&gt; \n&quot;;</span></div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span><span class="comment">// sorting::inversion::show(arr.data(), size);</span></div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span><span class="comment">// }</span></div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span></div>
<div class="foldopen" id="foldopen00271" data-start="{" data-end="}">
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"><a class="line" href="../../d2/d26/count__inversions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 271</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <a class="code hl_function" href="../../d2/d26/count__inversions_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Run test implementations</span></div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="comment">// body(); // test your own array</span></div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span>}</div>
</div>
<div class="ttc" id="acount__inversions_8cpp_html_a3332498eabf6579ef059c0d0e9f4ec80"><div class="ttname"><a href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">sorting::inversion::countInversion</a></div><div class="ttdeci">uint32_t countInversion(T *arr, const uint32_t size)</div><div class="ttdoc">Function countInversion() returns the number of inversion present in the input array....</div><div class="ttdef"><b>Definition</b> <a href="#l00164">count_inversions.cpp:164</a></div></div>
<div class="ttc" id="acount__inversions_8cpp_html_a851ca6a0391d14fb49a97d55e4377497"><div class="ttname"><a href="../../d2/d26/count__inversions_8cpp.html#a851ca6a0391d14fb49a97d55e4377497">sorting::inversion::show</a></div><div class="ttdeci">void show(T *arr, const uint32_t array_size)</div><div class="ttdoc">UTILITY function to print array.</div><div class="ttdef"><b>Definition</b> <a href="#l00179">count_inversions.cpp:179</a></div></div>
<div class="ttc" id="acount__inversions_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d2/d26/count__inversions_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition</b> <a href="#l00194">count_inversions.cpp:194</a></div></div>
<div class="ttc" id="acount__inversions_8cpp_html_aad643c14734394e784a75169cb58132f"><div class="ttname"><a href="../../d2/d26/count__inversions_8cpp.html#aad643c14734394e784a75169cb58132f">sorting::inversion::merge</a></div><div class="ttdeci">uint32_t merge(T *arr, T *temp, uint32_t left, uint32_t mid, uint32_t right)</div><div class="ttdoc">Function to merge two sub-arrays.</div><div class="ttdef"><b>Definition</b> <a href="#l00085">count_inversions.cpp:85</a></div></div>
<div class="ttc" id="acount__inversions_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d2/d26/count__inversions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Program Body contains all main funtionality.</div><div class="ttdef"><b>Definition</b> <a href="#l00271">count_inversions.cpp:271</a></div></div>
<div class="ttc" id="acount__inversions_8cpp_html_ae97a486e14101c4822ea8dc47f0d1661"><div class="ttname"><a href="../../d2/d26/count__inversions_8cpp.html#ae97a486e14101c4822ea8dc47f0d1661">sorting::inversion::mergeSort</a></div><div class="ttdeci">uint32_t mergeSort(T *arr, T *temp, uint32_t left, uint32_t right)</div><div class="ttdoc">Implement merge Sort and count inverions while merging.</div><div class="ttdef"><b>Definition</b> <a href="#l00132">count_inversions.cpp:132</a></div></div>
<div class="ttc" id="anamespaceinversion_html"><div class="ttname"><a href="../../d9/d13/namespaceinversion.html">inversion</a></div><div class="ttdoc">Functions for counting inversions using Merge Sort algorithm.</div></div>
<div class="ttc" id="anamespacesorting_html"><div class="ttname"><a href="../../d5/d91/namespacesorting.html">sorting</a></div><div class="ttdoc">for working with vectors</div></div>
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