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<p><a href="https://en.wikipedia.org/wiki/Fibonacci_search_technique" target="_blank">Fibonacci search algorithm</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstdlib&gt;</code><br />
<code>#include &lt;algorithm&gt;</code><br />
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Include dependency graph for fibonacci_search.cpp:</div>
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Functions</h2></td></tr>
<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>
<tr class="separator:a0bc61b3903d9a53061bf31e5d110fe61"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5e144326104e57a3808aed7eb098db0d"><td class="memItemLeft" align="right" valign="top">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 <a href="../../de/d0d/fibonacci__search_8cpp.html#a5e144326104e57a3808aed7eb098db0d">More...</a><br /></td></tr>
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<tr class="memitem:a2aa09bef74ee063c1331de0883af4f4f"><td class="memItemLeft" align="right" valign="top">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 <a href="../../de/d0d/fibonacci__search_8cpp.html#a2aa09bef74ee063c1331de0883af4f4f">More...</a><br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><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#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</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" target="_blank">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" name="a0bc61b3903d9a53061bf31e5d110fe61"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0bc61b3903d9a53061bf31e5d110fe61">&#9670;&#160;</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>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>value</em>&#160;</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"><span class="lineno"> 23</span> {</div>
<div class="line"><span class="lineno"> 24</span> <span class="comment">// initialize last and current members of Fibonacci sequence </span></div>
<div class="line"><span class="lineno"> 25</span> <span class="keywordtype">int</span> last = 0, current = 1;</div>
<div class="line"><span class="lineno"> 26</span> <span class="keywordtype">int</span> length = arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <span class="comment">// array size</span></div>
<div class="line"><span class="lineno"> 27</span> <span class="comment">// next member of Fibonacci sequence which is &quot;last&quot; + &quot;current&quot;</span></div>
<div class="line"><span class="lineno"> 28</span> <span class="keywordtype">int</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> = last + current; </div>
<div class="line"><span class="lineno"> 29</span> </div>
<div class="line"><span class="lineno"> 30</span> <span class="comment">// &quot;next&quot; will store the smallest Fibonacci number greater or equal to &quot;length&quot;</span></div>
<div class="line"><span class="lineno"> 31</span> <span class="keywordflow">while</span>(next &lt; length){</div>
<div class="line"><span class="lineno"> 32</span> last = current;</div>
<div class="line"><span class="lineno"> 33</span> current = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a>;</div>
<div class="line"><span class="lineno"> 34</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> = last + current;</div>
<div class="line"><span class="lineno"> 35</span> }</div>
<div class="line"><span class="lineno"> 36</span> </div>
<div class="line"><span class="lineno"> 37</span> <span class="comment">// &quot;offset&quot; is the end of eliminated range from front</span></div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordtype">int</span> offset = -1, index;</div>
<div class="line"><span class="lineno"> 39</span> <span class="comment">// while loop until there are elements left to consider.</span></div>
<div class="line"><span class="lineno"> 40</span> <span class="comment">// when &quot;next&quot; becomes 1, last is equal to 0, so search is done,</span></div>
<div class="line"><span class="lineno"> 41</span> <span class="comment">// because arr[offset] will already be eliminated</span></div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">while</span>(next &gt; 1){</div>
<div class="line"><span class="lineno"> 43</span> <span class="comment">// check if &quot;last&quot; is valid location</span></div>
<div class="line"><span class="lineno"> 44</span> index = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(offset + last, length-1);</div>
<div class="line"><span class="lineno"> 45</span> <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"><span class="lineno"> 46</span> <span class="keywordflow">if</span>(arr[index] &lt; value){</div>
<div class="line"><span class="lineno"> 47</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> = current;</div>
<div class="line"><span class="lineno"> 48</span> current = last;</div>
<div class="line"><span class="lineno"> 49</span> last = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> - current;</div>
<div class="line"><span class="lineno"> 50</span> offset = index;</div>
<div class="line"><span class="lineno"> 51</span> <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"><span class="lineno"> 52</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span>(arr[index] &gt; value){</div>
<div class="line"><span class="lineno"> 53</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> = last;</div>
<div class="line"><span class="lineno"> 54</span> current = current - last;</div>
<div class="line"><span class="lineno"> 55</span> last = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/next.html">next</a> - current;</div>
<div class="line"><span class="lineno"> 56</span> <span class="comment">// element is found</span></div>
<div class="line"><span class="lineno"> 57</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">return</span> index;</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> <span class="comment">// comparing the last element</span></div>
<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">if</span>(current &amp;&amp; !arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/empty.html">empty</a>() &amp;&amp; arr[offset+1] == value){</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">return</span> offset+1;</div>
<div class="line"><span class="lineno"> 64</span> }</div>
<div class="line"><span class="lineno"> 65</span> <span class="comment">// value was not found, return -1</span></div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><span class="lineno"> 67</span>}</div>
<div class="ttc" id="aempty_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/empty.html">std::vector::empty</a></div><div class="ttdeci">T empty(T... args)</div></div>
<div class="ttc" id="amin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a></div><div class="ttdeci">T min(T... args)</div></div>
<div class="ttc" id="anext_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/next.html">std::next</a></div><div class="ttdeci">T next(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<p >Main Function testing the algorithm </p>
<div class="fragment"><div class="line"><span class="lineno"> 123</span> {</div>
<div class="line"><span class="lineno"> 124</span> assert(<a class="code hl_function" href="../../de/d0d/fibonacci__search_8cpp.html#a5e144326104e57a3808aed7eb098db0d">no_occurence_tests</a>());</div>
<div class="line"><span class="lineno"> 125</span> assert(<a class="code hl_function" href="../../de/d0d/fibonacci__search_8cpp.html#a2aa09bef74ee063c1331de0883af4f4f">random_tests</a>());</div>
<div class="line"><span class="lineno"> 126</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 127</span>}</div>
<div class="ttc" id="afibonacci__search_8cpp_html_a2aa09bef74ee063c1331de0883af4f4f"><div class="ttname"><a href="../../de/d0d/fibonacci__search_8cpp.html#a2aa09bef74ee063c1331de0883af4f4f">random_tests</a></div><div class="ttdeci">bool random_tests()</div><div class="ttdoc">random tests which cover cases when we have one, multiple or zero occurences of the value we're looki...</div><div class="ttdef"><b>Definition:</b> fibonacci_search.cpp:96</div></div>
<div class="ttc" id="afibonacci__search_8cpp_html_a5e144326104e57a3808aed7eb098db0d"><div class="ttname"><a href="../../de/d0d/fibonacci__search_8cpp.html#a5e144326104e57a3808aed7eb098db0d">no_occurence_tests</a></div><div class="ttdeci">bool no_occurence_tests()</div><div class="ttdoc">random tests for checking performance when an array doesn't contain an element</div><div class="ttdef"><b>Definition:</b> fibonacci_search.cpp:72</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a5e144326104e57a3808aed7eb098db0d">&#9670;&#160;</a></span>no_occurence_tests()</h2>
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<p>random tests for checking performance when an array doesn't contain an element </p>
<div class="fragment"><div class="line"><span class="lineno"> 72</span> {</div>
<div class="line"><span class="lineno"> 73</span> <span class="keywordtype">bool</span> passed = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 74</span> <span class="keywordtype">int</span> rand_num, rand_value, index, num_tests = 1000;</div>
<div class="line"><span class="lineno"> 75</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> arr;</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordflow">while</span>(num_tests--){</div>
<div class="line"><span class="lineno"> 77</span> arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/clear.html">clear</a>();</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; 100; i++){</div>
<div class="line"><span class="lineno"> 79</span> rand_num = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 1000;</div>
<div class="line"><span class="lineno"> 80</span> arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(rand_num);</div>
<div class="line"><span class="lineno"> 81</span> }</div>
<div class="line"><span class="lineno"> 82</span> rand_value = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 1000;</div>
<div class="line"><span class="lineno"> 83</span> <span class="keywordflow">while</span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/find.html">std::find</a>(arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>(), rand_value) != arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()){</div>
<div class="line"><span class="lineno"> 84</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/remove.html">std::remove</a>(arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>(), rand_value);</div>
<div class="line"><span class="lineno"> 85</span> }</div>
<div class="line"><span class="lineno"> 86</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/sort.html">sort</a>(arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>());</div>
<div class="line"><span class="lineno"> 87</span> index = <a class="code hl_function" href="../../de/d0d/fibonacci__search_8cpp.html#a0bc61b3903d9a53061bf31e5d110fe61">fibonacci_search</a>(arr, rand_value);</div>
<div class="line"><span class="lineno"> 88</span> passed = passed &amp;&amp; (index == -1);</div>
<div class="line"><span class="lineno"> 89</span> }</div>
<div class="line"><span class="lineno"> 90</span> <span class="keywordflow">return</span> passed;</div>
<div class="line"><span class="lineno"> 91</span>}</div>
<div class="ttc" id="abegin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/begin.html">std::vector::begin</a></div><div class="ttdeci">T begin(T... args)</div></div>
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<div class="ttc" id="afibonacci__search_8cpp_html_a0bc61b3903d9a53061bf31e5d110fe61"><div class="ttname"><a href="../../de/d0d/fibonacci__search_8cpp.html#a0bc61b3903d9a53061bf31e5d110fe61">fibonacci_search</a></div><div class="ttdeci">int fibonacci_search(const std::vector&lt; int &gt; &amp;arr, int value)</div><div class="ttdoc">using fibonacci search algorithm finds an index of a given element in a sorted array</div><div class="ttdef"><b>Definition:</b> fibonacci_search.cpp:23</div></div>
<div class="ttc" id="afind_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/find.html">std::find</a></div><div class="ttdeci">T find(T... args)</div></div>
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<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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<h2 class="memtitle"><span class="permalink"><a href="#a2aa09bef74ee063c1331de0883af4f4f">&#9670;&#160;</a></span>random_tests()</h2>
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<td class="memname">bool random_tests </td>
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<p>random tests which cover cases when we have one, multiple or zero occurences of the value we're looking for </p>
<div class="fragment"><div class="line"><span class="lineno"> 96</span> {</div>
<div class="line"><span class="lineno"> 97</span> <span class="keywordtype">bool</span> passed = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 98</span> <span class="keywordtype">int</span> rand_num, rand_value, index, real_value, num_tests = 10000;</div>
<div class="line"><span class="lineno"> 99</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> arr;</div>
<div class="line"><span class="lineno"> 100</span> <span class="keywordflow">while</span>(num_tests--){</div>
<div class="line"><span class="lineno"> 101</span> arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/clear.html">clear</a>();</div>
<div class="line"><span class="lineno"> 102</span> <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; 100; i++){</div>
<div class="line"><span class="lineno"> 103</span> rand_num = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 1000;</div>
<div class="line"><span class="lineno"> 104</span> arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(rand_num);</div>
<div class="line"><span class="lineno"> 105</span> }</div>
<div class="line"><span class="lineno"> 106</span> rand_value = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % 1000;</div>
<div class="line"><span class="lineno"> 107</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/sort.html">std::sort</a>(arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>());</div>
<div class="line"><span class="lineno"> 108</span> index = <a class="code hl_function" href="../../de/d0d/fibonacci__search_8cpp.html#a0bc61b3903d9a53061bf31e5d110fe61">fibonacci_search</a>(arr, rand_value);</div>
<div class="line"><span class="lineno"> 109</span> <span class="keywordflow">if</span>(index != -1){</div>
<div class="line"><span class="lineno"> 110</span> real_value = arr[index];</div>
<div class="line"><span class="lineno"> 111</span> passed = passed &amp;&amp; (real_value == rand_value);</div>
<div class="line"><span class="lineno"> 112</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 113</span> passed = passed &amp;&amp; (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/find.html">std::find</a>(arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>(), rand_value) == arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>());</div>
<div class="line"><span class="lineno"> 114</span> }</div>
<div class="line"><span class="lineno"> 115</span> }</div>
<div class="line"><span class="lineno"> 116</span> <span class="keywordflow">return</span> passed;</div>
<div class="line"><span class="lineno"> 117</span>}</div>
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