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<div class="headertitle"><div class="title">fibonacci_large.cpp File Reference</div></div>
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<p>Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cinttypes&gt;</code><br />
<code>#include &lt;ctime&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &quot;<a class="el" href="../../d4/d86/large__number_8h_source.html">./large_number.h</a>&quot;</code><br />
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Include dependency graph for fibonacci_large.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:adf3e906875ab257f7fab3bc1370aa2db"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/de4/fibonacci__large_8cpp.html#adf3e906875ab257f7fab3bc1370aa2db">fib</a> (uint64_t n)</td></tr>
<tr class="separator:adf3e906875ab257f7fab3bc1370aa2db"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0ddf1224851353fc92bfbff6f499fa97"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/de4/fibonacci__large_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a> (int argc, char *argv[])</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations. </p>
<p >Took 0.608246 seconds to compute 50,000^th Fibonacci number that contains 10450 digits!</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a> </dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d9/d89/fibonacci_8cpp.html" title="Generate fibonacci sequence.">fibonacci.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="adf3e906875ab257f7fab3bc1370aa2db" name="adf3e906875ab257f7fab3bc1370aa2db"></a>
<h2 class="memtitle"><span class="permalink"><a href="#adf3e906875ab257f7fab3bc1370aa2db">&#9670;&#160;</a></span>fib()</h2>
<div class="memitem">
<div class="memproto">
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<td class="memname"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a> fib </td>
<td>(</td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>n</em></td><td>)</td>
<td></td>
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<p >Compute fibonacci numbers using the relation </p><p class="formulaDsp">
\[f(n)=f(n-1)+f(n-2)\]
</p>
<p> and returns the result as a <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> type. </p>
<div class="fragment"><div class="line"><span class="lineno"> 24</span> {</div>
<div class="line"><span class="lineno"> 25</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> f0(1);</div>
<div class="line"><span class="lineno"> 26</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> f1(1);</div>
<div class="line"><span class="lineno"> 27</span> </div>
<div class="line"><span class="lineno"> 28</span> <span class="keywordflow">do</span> {</div>
<div class="line"><span class="lineno"> 29</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> f2 = f1;</div>
<div class="line"><span class="lineno"> 30</span> f1 += f0;</div>
<div class="line"><span class="lineno"> 31</span> f0 = f2;</div>
<div class="line"><span class="lineno"> 32</span> n--;</div>
<div class="line"><span class="lineno"> 33</span> } <span class="keywordflow">while</span> (n &gt; 2); <span class="comment">// since we start from 2</span></div>
<div class="line"><span class="lineno"> 34</span> </div>
<div class="line"><span class="lineno"> 35</span> <span class="keywordflow">return</span> f1;</div>
<div class="line"><span class="lineno"> 36</span>}</div>
<div class="ttc" id="aclasslarge__number_html"><div class="ttname"><a href="../../db/d82/classlarge__number.html">large_number</a></div><div class="ttdef"><b>Definition:</b> large_number.h:24</div></div>
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<a id="a0ddf1224851353fc92bfbff6f499fa97" name="a0ddf1224851353fc92bfbff6f499fa97"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0ddf1224851353fc92bfbff6f499fa97">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">char *&#160;</td>
<td class="paramname"><em>argv</em>[]&#160;</td>
</tr>
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<td></td>
<td>)</td>
<td></td><td></td>
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<div class="fragment"><div class="line"><span class="lineno"> 38</span> {</div>
<div class="line"><span class="lineno"> 39</span> uint64_t <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>;</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">if</span> (argc == 2) {</div>
<div class="line"><span class="lineno"> 41</span> <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strtoul.html">strtoull</a>(argv[1], NULL, 10);</div>
<div class="line"><span class="lineno"> 42</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 43</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;Enter N: &quot;</span>;</div>
<div class="line"><span class="lineno"> 44</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>;</div>
<div class="line"><span class="lineno"> 45</span> }</div>
<div class="line"><span class="lineno"> 46</span> </div>
<div class="line"><span class="lineno"> 47</span> clock_t start_time = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
<div class="line"><span class="lineno"> 48</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = <a class="code hl_function" href="../../de/de4/fibonacci__large_8cpp.html#adf3e906875ab257f7fab3bc1370aa2db">fib</a>(N);</div>
<div class="line"><span class="lineno"> 49</span> clock_t end_time = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
<div class="line"><span class="lineno"> 50</span> <span class="keywordtype">double</span> time_taken = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(end_time - start_time) /</div>
<div class="line"><span class="lineno"> 51</span> <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(CLOCKS_PER_SEC);</div>
<div class="line"><span class="lineno"> 52</span> </div>
<div class="line"><span class="lineno"> 53</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</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"> 54</span> &lt;&lt; <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> &lt;&lt; <span class="stringliteral">&quot;^th Fibonacci number: &quot;</span> &lt;&lt; <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</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"> 55</span> &lt;&lt; <span class="stringliteral">&quot;Number of digits: &quot;</span> &lt;&lt; <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.num_digits() &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"> 56</span> &lt;&lt; <span class="stringliteral">&quot;Time taken: &quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/fixed.html">std::scientific</a> &lt;&lt; time_taken &lt;&lt; <span class="stringliteral">&quot; s&quot;</span></div>
<div class="line"><span class="lineno"> 57</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"> 58</span> </div>
<div class="line"><span class="lineno"> 59</span> <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = 5000;</div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../de/de4/fibonacci__large_8cpp.html#adf3e906875ab257f7fab3bc1370aa2db">fib</a>(N) ==</div>
<div class="line"><span class="lineno"> 61</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a>(</div>
<div class="line"><span class="lineno"> 62</span> <span class="stringliteral">&quot;387896845438832563370191630832590531208212771464624510616059721489&quot;</span></div>
<div class="line"><span class="lineno"> 63</span> <span class="stringliteral">&quot;555013904403709701082291646221066947929345285888297381348310200895&quot;</span></div>
<div class="line"><span class="lineno"> 64</span> <span class="stringliteral">&quot;498294036143015691147893836421656394410691021450563413370655865623&quot;</span></div>
<div class="line"><span class="lineno"> 65</span> <span class="stringliteral">&quot;825465670071252592990385493381392883637834751890876297071203333705&quot;</span></div>
<div class="line"><span class="lineno"> 66</span> <span class="stringliteral">&quot;292310769300851809384980180384781399674888176555465378829164426891&quot;</span></div>
<div class="line"><span class="lineno"> 67</span> <span class="stringliteral">&quot;298038461377896902150229308247566634622492307188332480328037503913&quot;</span></div>
<div class="line"><span class="lineno"> 68</span> <span class="stringliteral">&quot;035290330450584270114763524227021093463769910400671417488329842289&quot;</span></div>
<div class="line"><span class="lineno"> 69</span> <span class="stringliteral">&quot;149127310405432875329804427367682297724498774987455569190770388063&quot;</span></div>
<div class="line"><span class="lineno"> 70</span> <span class="stringliteral">&quot;704683279481135897373999311010621930814901857081539785437919530561&quot;</span></div>
<div class="line"><span class="lineno"> 71</span> <span class="stringliteral">&quot;751076105307568878376603366735544525884488624161921055345749367589&quot;</span></div>
<div class="line"><span class="lineno"> 72</span> <span class="stringliteral">&quot;784902798823435102359984466393485325641195222185956306047536464547&quot;</span></div>
<div class="line"><span class="lineno"> 73</span> <span class="stringliteral">&quot;076033090242080638258492915645287629157575914234380914230291749108&quot;</span></div>
<div class="line"><span class="lineno"> 74</span> <span class="stringliteral">&quot;898415520985443248659407979357131684169286803954530954538869811466&quot;</span></div>
<div class="line"><span class="lineno"> 75</span> <span class="stringliteral">&quot;508206686289742063932343848846524098874239587380197699382031717420&quot;</span></div>
<div class="line"><span class="lineno"> 76</span> <span class="stringliteral">&quot;893226546887936400263079778005875912967138963421425257911687275560&quot;</span></div>
<div class="line"><span class="lineno"> 77</span> <span class="stringliteral">&quot;0360311370547754724604639987588046985178408674382863125&quot;</span>))</div>
<div class="line"><span class="lineno"> 78</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;Test for &quot;</span> &lt;&lt; N &lt;&lt; <span class="stringliteral">&quot;^th Fibonacci number passed!&quot;</span></div>
<div class="line"><span class="lineno"> 79</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"> 80</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 81</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> &lt;&lt; <span class="stringliteral">&quot;Test for &quot;</span> &lt;&lt; <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> &lt;&lt; <span class="stringliteral">&quot;^th Fibonacci number failed!&quot;</span></div>
<div class="line"><span class="lineno"> 82</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"> 83</span> </div>
<div class="line"><span class="lineno"> 84</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 85</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="aclock_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a></div><div class="ttdeci">T clock(T... args)</div></div>
<div class="ttc" id="adata__structures_2sparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition:</b> sparse_table.cpp:47</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__large_8cpp_html_adf3e906875ab257f7fab3bc1370aa2db"><div class="ttname"><a href="../../de/de4/fibonacci__large_8cpp.html#adf3e906875ab257f7fab3bc1370aa2db">fib</a></div><div class="ttdeci">large_number fib(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_large.cpp:24</div></div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:76</div></div>
<div class="ttc" id="afixed_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/fixed.html">std::scientific</a></div><div class="ttdeci">T scientific(T... args)</div></div>
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