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<div class="header">
<div class="summary">
<a href="#namespaces">Namespaces</a> &#124;
<a href="#func-members">Functions</a> </div>
<div class="headertitle"><div class="title">fibonacci.cpp File Reference</div></div>
</div><!--header-->
<div class="contents">
<p>Generate fibonacci sequence.
<p>n-th <a href="https://en.wikipedia.org/wiki/Fibonacci_sequence" target="_blank">Fibonacci number</a>.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
@@ -120,61 +121,69 @@ Include dependency graph for fibonacci.cpp:</div>
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Namespaces</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for IO operations <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d76/namespacefibonacci.html">fibonacci</a></td></tr>
<tr class="memdesc:df/d76/namespacefibonacci"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for Fibonacci sequence. <br /></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aaf94f3212385cff0a5f19ff6b0cce8e7" id="r_aaf94f3212385cff0a5f19ff6b0cce8e7"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a> (uint64_t n)</td></tr>
<tr class="separator:aaf94f3212385cff0a5f19ff6b0cce8e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeaaf5439cb29de4630c7dff2fd914b28" id="r_aeaaf5439cb29de4630c7dff2fd914b28"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aeaaf5439cb29de4630c7dff2fd914b28">math::fibonacci::fibonacci</a> (uint64_t n)</td></tr>
<tr class="memdesc:aeaaf5439cb29de4630c7dff2fd914b28"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to compute the n-th Fibonacci number. <br /></td></tr>
<tr class="separator:aeaaf5439cb29de4630c7dff2fd914b28"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementation. <br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Generate fibonacci sequence. </p>
<p>Calculate the the value on Fibonacci's sequence given an integer as input. </p><p class="formulaDsp">
<div class="textblock"><p>n-th <a href="https://en.wikipedia.org/wiki/Fibonacci_sequence" target="_blank">Fibonacci number</a>. </p>
<p>Naive recursive implementation to calculate the n-th Fibonacci number. </p><p class="formulaDsp">
\[\text{fib}(n) = \text{fib}(n-1) + \text{fib}(n-2)\]
</p>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../de/de4/fibonacci__large_8cpp.html" title="Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library ...">fibonacci_large.cpp</a>, <a class="el" href="../../d4/d32/fibonacci__fast_8cpp.html" title="Faster computation of Fibonacci series.">fibonacci_fast.cpp</a>, <a class="el" href="../../de/d47/string__fibonacci_8cpp.html" title="This Programme returns the Nth fibonacci as a string.">string_fibonacci.cpp</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="aaf94f3212385cff0a5f19ff6b0cce8e7" name="aaf94f3212385cff0a5f19ff6b0cce8e7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaf94f3212385cff0a5f19ff6b0cce8e7">&#9670;&#160;</a></span>fibonacci()</h2>
<a id="aeaaf5439cb29de4630c7dff2fd914b28" name="aeaaf5439cb29de4630c7dff2fd914b28"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aeaaf5439cb29de4630c7dff2fd914b28">&#9670;&#160;</a></span>fibonacci()</h2>
<div class="memitem">
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<tr>
<td class="memname">uint64_t fibonacci </td>
<td class="memname">uint64_t math::fibonacci::fibonacci </td>
<td>(</td>
<td class="paramtype">uint64_t</td> <td class="paramname"><span class="paramname"><em>n</em></span></td><td>)</td>
<td></td>
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<p>Recursively compute sequences </p><dl class="params"><dt>Parameters</dt><dd>
<p>Function to compute the n-th Fibonacci number. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>input </td></tr>
<tr><td class="paramname">n</td><td>the index of the Fibonacci number </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>n-th element of the Fbinacci's sequence </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 19</span> {</div>
<div class="line"><span class="lineno"> 20</span> <span class="comment">/* If the input is 0 or 1 just return the same</span></div>
<div class="line"><span class="lineno"> 21</span><span class="comment"> This will set the first 2 values of the sequence */</span></div>
<div class="line"><span class="lineno"> 22</span> <span class="keywordflow">if</span> (n &lt;= 1) {</div>
<div class="line"><span class="lineno"> 23</span> <span class="keywordflow">return</span> n;</div>
<div class="line"><span class="lineno"> 24</span> }</div>
<div class="line"><span class="lineno"> 25</span> </div>
<div class="line"><span class="lineno"> 26</span> <span class="comment">/* Add the last 2 values of the sequence to get next */</span></div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">return</span> <a class="code hl_function" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a>(n - 1) + <a class="code hl_function" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a>(n - 2);</div>
<div class="line"><span class="lineno"> 28</span>}</div>
<div class="ttc" id="afibonacci_8cpp_html_aaf94f3212385cff0a5f19ff6b0cce8e7"><div class="ttname"><a href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a></div><div class="ttdeci">uint64_t fibonacci(uint64_t n)</div><div class="ttdef"><b>Definition</b> fibonacci.cpp:19</div></div>
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<dl class="section return"><dt>Returns</dt><dd>n-th element of the Fibonacci's sequence </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 30</span> {</div>
<div class="line"><span class="lineno"> 31</span> <span class="comment">// If the input is 0 or 1 just return the same (Base Case)</span></div>
<div class="line"><span class="lineno"> 32</span> <span class="comment">// This will set the first 2 values of the sequence</span></div>
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">if</span> (n &lt;= 1) {</div>
<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">return</span> n;</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">// Add the preceding 2 values of the sequence to get next</span></div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../df/d76/namespacefibonacci.html">fibonacci</a>(n - 1) + <a class="code hl_namespace" href="../../df/d76/namespacefibonacci.html">fibonacci</a>(n - 2);</div>
<div class="line"><span class="lineno"> 39</span>}</div>
<div class="ttc" id="anamespacefibonacci_html"><div class="ttname"><a href="../../df/d76/namespacefibonacci.html">fibonacci</a></div><div class="ttdoc">Functions for Fibonacci sequence.</div></div>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 62</span> {</div>
<div class="line"><span class="lineno"> 63</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordtype">int</span> n = 0;</div>
<div class="line"><span class="lineno"> 65</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; n;</div>
<div class="line"><span class="lineno"> 66</span> assert(n &gt;= 0);</div>
<div class="line"><span class="lineno"> 67</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;F(&quot;</span> &lt;&lt; n &lt;&lt; <span class="stringliteral">&quot;)= &quot;</span> &lt;&lt; <a class="code hl_function" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a>(n) &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"><span class="lineno"> 68</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></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="afibonacci_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition</b> fibonacci.cpp:35</div></div>
<div class="line"><span class="lineno"> 63</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 65</span>}</div>
<div class="ttc" id="afibonacci_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementation.</div><div class="ttdef"><b>Definition</b> fibonacci.cpp:47</div></div>
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<p>Function for testing the <a class="el" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci()</a> function with a few test cases and assert statement. </p><dl class="section return"><dt>Returns</dt><dd><code>void</code> </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 35</span> {</div>
<div class="line"><span class="lineno"> 36</span> uint64_t test_case_1 = <a class="code hl_function" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a>(0);</div>
<div class="line"><span class="lineno"> 37</span> assert(test_case_1 == 0);</div>
<div class="line"><span class="lineno"> 38</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;Passed Test 1!&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"><span class="lineno"> 39</span> </div>
<div class="line"><span class="lineno"> 40</span> uint64_t test_case_2 = <a class="code hl_function" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a>(1);</div>
<div class="line"><span class="lineno"> 41</span> assert(test_case_2 == 1);</div>
<div class="line"><span class="lineno"> 42</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;Passed Test 2!&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"><span class="lineno"> 43</span> </div>
<div class="line"><span class="lineno"> 44</span> uint64_t test_case_3 = <a class="code hl_function" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a>(2);</div>
<div class="line"><span class="lineno"> 45</span> assert(test_case_3 == 1);</div>
<div class="line"><span class="lineno"> 46</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;Passed Test 3!&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"><span class="lineno"> 47</span> </div>
<div class="line"><span class="lineno"> 48</span> uint64_t test_case_4 = <a class="code hl_function" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a>(3);</div>
<div class="line"><span class="lineno"> 49</span> assert(test_case_4 == 2);</div>
<div class="line"><span class="lineno"> 50</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;Passed Test 4!&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"><span class="lineno"> 51</span> </div>
<div class="line"><span class="lineno"> 52</span> uint64_t test_case_5 = <a class="code hl_function" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a>(4);</div>
<div class="line"><span class="lineno"> 53</span> assert(test_case_5 == 3);</div>
<div class="line"><span class="lineno"> 54</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;Passed Test 5!&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"><span class="lineno"> 55</span> </div>
<div class="line"><span class="lineno"> 56</span> uint64_t test_case_6 = <a class="code hl_function" href="#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a>(15);</div>
<div class="line"><span class="lineno"> 57</span> assert(test_case_6 == 610);</div>
<div class="line"><span class="lineno"> 58</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;Passed Test 6!&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> &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"><span class="lineno"> 59</span>}</div>
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<p>Self-test implementation. </p>
<dl class="section return"><dt>Returns</dt><dd><code>void</code> </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 47</span> {</div>
<div class="line"><span class="lineno"> 48</span> assert(math::fibonacci::fibonacci(0) == 0);</div>
<div class="line"><span class="lineno"> 49</span> assert(math::fibonacci::fibonacci(1) == 1);</div>
<div class="line"><span class="lineno"> 50</span> assert(math::fibonacci::fibonacci(2) == 1);</div>
<div class="line"><span class="lineno"> 51</span> assert(math::fibonacci::fibonacci(3) == 2);</div>
<div class="line"><span class="lineno"> 52</span> assert(math::fibonacci::fibonacci(4) == 3);</div>
<div class="line"><span class="lineno"> 53</span> assert(math::fibonacci::fibonacci(15) == 610);</div>
<div class="line"><span class="lineno"> 54</span> assert(math::fibonacci::fibonacci(20) == 6765);</div>
<div class="line"><span class="lineno"> 55</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;All tests have passed successfully!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 56</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>
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