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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div class="header">
<div class="summary">
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">interpolation_search2.cpp File Reference</div> </div>
<div class="headertitle"><div class="title">interpolation_search2.cpp File Reference</div></div>
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<div class="contents">
<p><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm
<p><a href="https://en.wikipedia.org/wiki/Interpolation_search" target="_blank">Interpolation search</a> algorithm
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
@@ -107,7 +106,7 @@ Include dependency graph for interpolation_search2.cpp:</div>
</div>
</div>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aa3ec659ec8394d186c761df81ad1f629"><td class="memItemLeft" align="right" valign="top">int&#160;</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>
<tr class="separator:aa3ec659ec8394d186c761df81ad1f629"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm </p>
<div class="textblock"><p ><a href="https://en.wikipedia.org/wiki/Interpolation_search" target="_blank">Interpolation search</a> algorithm </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="aa3ec659ec8394d186c761df81ad1f629"></a>
<a id="aa3ec659ec8394d186c761df81ad1f629" name="aa3ec659ec8394d186c761df81ad1f629"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa3ec659ec8394d186c761df81ad1f629">&#9670;&nbsp;</a></span>InterpolationSearch()</h2>
<div class="memitem">
@@ -148,7 +147,7 @@ Functions</h2></td></tr>
</tr>
</table>
</div><div class="memdoc">
<p>function to search the value in an array using interpolation search </p><dl class="params"><dt>Parameters</dt><dd>
<p >function to search the value in an array using interpolation search </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">arr</td><td>array to search in </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>value to search for </td></tr>
@@ -159,25 +158,25 @@ Functions</h2></td></tr>
<dl class="section return"><dt>Returns</dt><dd>index where the value is found </dd>
<dd>
-1 if not found </dd></dl>
<div class="fragment"><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160; {</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160; <span class="keywordtype">int</span> low = 0;</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160; <span class="keywordtype">int</span> high = n - 1;</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160; <span class="keywordflow">while</span> (low &lt;= high) {</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; <span class="keywordtype">int</span> mid = low + (((high - 1) * (x - A[low])) / (A[high] - A[low]));</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; <span class="keywordflow">if</span> (x == A[mid])</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; <span class="keywordflow">return</span> mid; <span class="comment">// Found x, return (exit)</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x &lt; A[mid])</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; high = mid - 1; <span class="comment">// X lies before mid</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; <span class="keywordflow">else</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; low = mid + 1; <span class="comment">// x lies after mid</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; }</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;}</div>
<div class="fragment"><div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> {</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> <span class="keywordtype">int</span> low = 0;</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <span class="keywordtype">int</span> high = n - 1;</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="keywordflow">while</span> (low &lt;= high) {</div>
<div class="line"><a id="l00019" 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>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="keywordflow">if</span> (x == A[mid])</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">return</span> mid; <span class="comment">// Found x, return (exit)</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x &lt; A[mid])</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> high = mid - 1; <span class="comment">// X lies before mid</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> low = mid + 1; <span class="comment">// x lies after mid</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> }</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span>}</div>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
<div class="memitem">
@@ -192,19 +191,19 @@ Functions</h2></td></tr>
</tr>
</table>
</div><div class="memdoc">
<p>main function </p>
<p>&lt; passed array A inside the InterpolationSearch function</p>
<div class="fragment"><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; {</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keywordtype">int</span> A[] = {2, 4, 5, 7, 13, 14, 15, 23};</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keywordtype">int</span> x = 17;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="comment"> ///&lt; passed array A inside the InterpolationSearch function</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<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>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keywordflow">if</span> (index &lt; 0)</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Number &quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; not found&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="keywordflow">else</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Number &quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; is at &quot;</span> &lt;&lt; index &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;}</div>
<p >main function </p>
<p >&lt; passed array A inside the InterpolationSearch function</p>
<div class="fragment"><div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> {</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordtype">int</span> A[] = {2, 4, 5, 7, 13, 14, 15, 23};</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordtype">int</span> x = 17;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="comment"></span> </div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="comment"> ///&lt; passed array A inside the InterpolationSearch function</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="comment"></span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="../../df/d39/interpolation__search2_8cpp.html#aa3ec659ec8394d186c761df81ad1f629">InterpolationSearch</a>(A, 8, x);</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">if</span> (index &lt; 0)</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</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;Number &quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; not found&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"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</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;Number &quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; is at &quot;</span> &lt;&lt; index &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"><a id="l00042" name="l00042"></a><span class="lineno"> 42</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="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>
@@ -223,7 +222,7 @@ Here is the call graph for this function:</div>
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