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<p><a href="https://en.wikipedia.org/wiki/Fibonacci_search_technique">Fibonacci search algorithm</a>
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<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
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<tr class="memitem:a0bc61b3903d9a53061bf31e5d110fe61"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d0d/fibonacci__search_8cpp.html#a0bc61b3903d9a53061bf31e5d110fe61">fibonacci_search</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &amp;arr, int value)</td></tr>
<tr class="memdesc:a0bc61b3903d9a53061bf31e5d110fe61"><td class="mdescLeft">&#160;</td><td class="mdescRight">using fibonacci search algorithm finds an index of a given element in a sorted array <a href="../../de/d0d/fibonacci__search_8cpp.html#a0bc61b3903d9a53061bf31e5d110fe61">More...</a><br /></td></tr>
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bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d0d/fibonacci__search_8cpp.html#a5e144326104e57a3808aed7eb098db0d">no_occurence_tests</a> ()</td></tr>
<tr class="memdesc:a5e144326104e57a3808aed7eb098db0d"><td class="mdescLeft">&#160;</td><td class="mdescRight">random tests for checking performance when an array doesn't contain an element <br /></td></tr>
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bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d0d/fibonacci__search_8cpp.html#a2aa09bef74ee063c1331de0883af4f4f">random_tests</a> ()</td></tr>
<tr class="memdesc:a2aa09bef74ee063c1331de0883af4f4f"><td class="mdescLeft">&#160;</td><td class="mdescRight">random tests which cover cases when we have one, multiple or zero occurences of the value we're looking for <br /></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/Fibonacci_search_technique">Fibonacci search algorithm</a> </p>
<dl class="section author"><dt>Author</dt><dd>sprintyaf </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a0bc61b3903d9a53061bf31e5d110fe61"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0bc61b3903d9a53061bf31e5d110fe61">&#9670;&nbsp;</a></span>fibonacci_search()</h2>
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<td class="memname">int fibonacci_search </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &amp;&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>value</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
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<p>using fibonacci search algorithm finds an index of a given element in a sorted array </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>sorted array </td></tr>
<tr><td class="paramname">value</td><td>value that we're looking for </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>if the array contains the value, returns an index of the element. otherwise -1. </dd></dl>
<div class="fragment"><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; {</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; <span class="comment">// initialize last and current members of Fibonacci sequence </span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; <span class="keywordtype">int</span> last = 0, current = 1;</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <span class="keywordtype">int</span> length = arr.size(); <span class="comment">// array size</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <span class="comment">// next member of Fibonacci sequence which is &quot;last&quot; + &quot;current&quot;</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; <span class="keywordtype">int</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> = last + current; </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; <span class="comment">// &quot;next&quot; will store the smallest Fibonacci number greater or equal to &quot;length&quot;</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="keywordflow">while</span>(next &lt; length){</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; last = current;</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; current = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a>;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> = last + current;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; }</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="comment">// &quot;offset&quot; is the end of eliminated range from front</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keywordtype">int</span> offset = -1, index;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="comment">// while loop until there are elements left to consider.</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="comment">// when &quot;next&quot; becomes 1, last is equal to 0, so search is done,</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="comment">// because arr[offset] will already be eliminated</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordflow">while</span>(next &gt; 1){</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="comment">// check if &quot;last&quot; is valid location</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; index = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(offset + last, length-1);</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="comment">// if value is greater than the value at &quot;index&quot;, eliminate the subarray from offset to index</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keywordflow">if</span>(arr[index] &lt; value){</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> = current;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; current = last;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; last = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> - current;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; offset = index;</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="comment">// if value is less than the value at &quot;index&quot;, eliminate the subarray after index+1</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span>(arr[index] &gt; value){</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> = last;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; current = current - last;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; last = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> - current;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="comment">// element is found</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">return</span> index;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; }</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; }</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="comment">// comparing the last element</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keywordflow">if</span>(current &amp;&amp; !arr.empty() &amp;&amp; arr[offset+1] == value){</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keywordflow">return</span> offset+1;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="comment">// value was not found, return -1</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<p>Main Function testing the algorithm </p>
<div class="fragment"><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; assert(<a class="code" href="../../de/d0d/fibonacci__search_8cpp.html#a5e144326104e57a3808aed7eb098db0d">no_occurence_tests</a>());</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; assert(<a class="code" href="../../de/d0d/fibonacci__search_8cpp.html#a2aa09bef74ee063c1331de0883af4f4f">random_tests</a>());</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;}</div>
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1
globals_func_m.html
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, <a class="el" href="d9/dd7/interpolation__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">interpolation_search.cpp</a>
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3
globals_func_n.html
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</li>
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</li>
<li>number_of_digits()
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globals_func_r.html
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</li>
<li>rec_ternary_search()
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</li>

6
globals_i.html
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</li>
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<li>isprime
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<li>IsPrime()
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</li>
<li>isPrime()
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9
globals_m.html
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3
globals_n.html
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</li>
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</li>
<li>node
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6
globals_p.html
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</li>
<li>prime
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: <a class="el" href="db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization.cpp</a>
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3
globals_r.html
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</li>
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