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<div class="title">string_fibonacci.cpp File Reference</div> </div>
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<p>This Programme returns the Nth fibonacci as a string.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;cstring&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for string_fibonacci.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:a28052eee05d43c2ebc5147c52bd50c35"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d47/string__fibonacci_8cpp.html#a28052eee05d43c2ebc5147c52bd50c35">add</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> b)</td></tr>
<tr class="separator:a28052eee05d43c2ebc5147c52bd50c35"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad8055ee368a5d5b24de01bdde6bf8fca"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d47/string__fibonacci_8cpp.html#ad8055ee368a5d5b24de01bdde6bf8fca">fib_Accurate</a> (uint64_t n)</td></tr>
<tr class="separator:ad8055ee368a5d5b24de01bdde6bf8fca"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d47/string__fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<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>This Programme returns the Nth fibonacci as a string. </p>
<p>The method used is manual addition with carry and placing it in a string which is called string addition This makes it have no bounds or limits</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="../../d9/d89/fibonacci_8cpp.html" title="Generate fibonacci sequence.">fibonacci.cpp</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a28052eee05d43c2ebc5147c52bd50c35"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a28052eee05d43c2ebc5147c52bd50c35">&#9670;&nbsp;</a></span>add()</h2>
<div class="memitem">
<div class="memproto">
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<tr>
<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> add </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>function to add two string numbers </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>first number in string to add </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>second number in string to add </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>sum as a <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html" title="STL class.">std::string</a> </dd></dl>
<div class="fragment"><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; {</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> temp = <span class="stringliteral">&quot;&quot;</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; <span class="comment">// carry flag</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; <span class="keywordtype">int</span> carry = 0;</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">// fills up with zeros</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="keywordflow">while</span> (<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>.length() &lt; b.length()) {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a> = <span class="stringliteral">&quot;0&quot;</span> + <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>;</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; }</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; <span class="comment">// fills up with zeros</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keywordflow">while</span> (b.length() &lt; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>.length()) {</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; b = <span class="stringliteral">&quot;0&quot;</span> + b;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; }</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="comment">// adds the numbers a and b</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>.length() - 1; i &gt;= 0; i--) {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordtype">char</span> val = <span class="keyword">static_cast&lt;</span><span class="keywordtype">char</span><span class="keyword">&gt;</span>(((<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>[i] - 48) + (b[i] - 48)) + 48 + carry);</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keywordflow">if</span> (val &gt; 57) {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; carry = 1;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; val -= 10;</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; carry = 0;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; }</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; temp = val + temp;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; }</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <span class="comment">// processes the carry flag</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keywordflow">if</span> (carry == 1) {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; temp = <span class="stringliteral">&quot;1&quot;</span> + temp;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; }</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="comment">// removes leading zeros.</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">while</span> (temp[0] == <span class="charliteral">&#39;0&#39;</span> &amp;&amp; temp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>() &gt; 1) {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; temp = temp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/substr.html">substr</a>(1);</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; </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keywordflow">return</span> temp;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ad8055ee368a5d5b24de01bdde6bf8fca">&#9670;&nbsp;</a></span>fib_Accurate()</h2>
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<td class="memname">void fib_Accurate </td>
<td>(</td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>n</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Fibonacci iterator </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>n^th Fibonacci number </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; {</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> tmp = <span class="stringliteral">&quot;&quot;</span>;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> fibMinus1 = <span class="stringliteral">&quot;1&quot;</span>;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> fibMinus2 = <span class="stringliteral">&quot;0&quot;</span>;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; tmp = <a class="code" href="../../de/d47/string__fibonacci_8cpp.html#a28052eee05d43c2ebc5147c52bd50c35">add</a>(fibMinus1, fibMinus2);</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; fibMinus2 = fibMinus1;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; fibMinus1 = tmp;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; }</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; fibMinus2;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</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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<td class="memname">int main </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
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<p>main function </p>
<div class="fragment"><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keywordtype">int</span> n;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</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;Enter whatever number N you want to find the fibonacci of\n&quot;</span>;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; n;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; n &lt;&lt; <span class="stringliteral">&quot; th Fibonacci is \n&quot;</span>;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <a class="code" href="../../de/d47/string__fibonacci_8cpp.html#ad8055ee368a5d5b24de01bdde6bf8fca">fib_Accurate</a>(n);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;}</div>
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<div class="ttc" id="abasic_string_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">std::string::length</a></div><div class="ttdeci">T length(T... args)</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="amatrix__exponentiation_8cpp_html_a9ecd98ce0064e2f7f97bb6a92f58ee72"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a></div><div class="ttdeci">vector&lt; ll &gt; a</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:53</div></div>
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