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 <span id="projectnumber">1.0.0</span>
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<div class="title">interpolation_search2.cpp File Reference</div> </div>
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<p><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <iostream></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for interpolation_search2.cpp:</div>
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<div class="dyncontent">
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Functions</h2></td></tr>
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<tr class="memitem:aa3ec659ec8394d186c761df81ad1f629"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d39/interpolation__search2_8cpp.html#aa3ec659ec8394d186c761df81ad1f629">InterpolationSearch</a> (int A[], int n, int x)</td></tr>
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<tr class="separator:aa3ec659ec8394d186c761df81ad1f629"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d39/interpolation__search2_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="aa3ec659ec8394d186c761df81ad1f629"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aa3ec659ec8394d186c761df81ad1f629">◆ </a></span>InterpolationSearch()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">int InterpolationSearch </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>A</em>[], </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>n</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>x</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>function to search the value in an array using interpolation search </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>array to search in </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>value to search for </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">len</td><td>length of array </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>index where the value is found </dd>
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<dd>
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-1 if not found </dd></dl>
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<div class="fragment"><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  {</div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  <span class="keywordtype">int</span> low = 0;</div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  <span class="keywordtype">int</span> high = n - 1;</div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  <span class="keywordflow">while</span> (low <= high) {</div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  <span class="keywordtype">int</span> mid = low + (((high - 1) * (x - A[low])) / (A[high] - A[low]));</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="keywordflow">if</span> (x == A[mid])</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  <span class="keywordflow">return</span> mid; <span class="comment">// Found x, return (exit)</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x < A[mid])</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  high = mid - 1; <span class="comment">// X lies before mid</span></div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  low = mid + 1; <span class="comment">// x lies after mid</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  }</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  </div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordflow">return</span> -1;</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> }</div>
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</div><!-- fragment -->
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>main function </p>
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<p>< passed array A inside the InterpolationSearch function</p>
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<div class="fragment"><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  {</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordtype">int</span> A[] = {2, 4, 5, 7, 13, 14, 15, 23};</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordtype">int</span> x = 17;</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> ///< passed array A inside the InterpolationSearch function</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"></span> <span class="keywordtype">int</span> index = <a class="code" href="../../df/d39/interpolation__search2_8cpp.html#aa3ec659ec8394d186c761df81ad1f629">InterpolationSearch</a>(A, 8, x);</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">if</span> (index < 0)</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Number "</span> << x << <span class="stringliteral">" not found"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Number "</span> << x << <span class="stringliteral">" is at "</span> << index << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> }</div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<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>
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<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>
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<div class="ttc" id="ainterpolation__search2_8cpp_html_aa3ec659ec8394d186c761df81ad1f629"><div class="ttname"><a href="../../df/d39/interpolation__search2_8cpp.html#aa3ec659ec8394d186c761df81ad1f629">InterpolationSearch</a></div><div class="ttdeci">int InterpolationSearch(int A[], int n, int x)</div><div class="ttdef"><b>Definition:</b> interpolation_search2.cpp:15</div></div>
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