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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 />
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Include dependency graph for string_fibonacci.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:a28052eee05d43c2ebc5147c52bd50c35" id="r_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="#a28052eee05d43c2ebc5147c52bd50c35">add</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> a, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> b)</td></tr>
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<tr class="memitem:ad8055ee368a5d5b24de01bdde6bf8fca" id="r_ad8055ee368a5d5b24de01bdde6bf8fca"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ad8055ee368a5d5b24de01bdde6bf8fca">fib_Accurate</a> (uint64_t n)</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" name="a28052eee05d43c2ebc5147c52bd50c35"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a28052eee05d43c2ebc5147c52bd50c35">&#9670;&#160;</a></span>add()</h2>
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<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></td> <td class="paramname"><span class="paramname"><em>a</em>, </span></td>
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<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></td> <td class="paramname"><span class="paramname"><em>b</em></span>&#160;)</td>
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<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">std::string</a> </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 24</span> {</div>
<div class="line"><span class="lineno"> 25</span> <a class="code hl_classRef" 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"><span class="lineno"> 26</span> </div>
<div class="line"><span class="lineno"> 27</span> <span class="comment">// carry flag</span></div>
<div class="line"><span class="lineno"> 28</span> <span class="keywordtype">int</span> carry = 0;</div>
<div class="line"><span class="lineno"> 29</span> </div>
<div class="line"><span class="lineno"> 30</span> <span class="comment">// fills up with zeros</span></div>
<div class="line"><span class="lineno"> 31</span> <span class="keywordflow">while</span> (a.length() &lt; b.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>()) {</div>
<div class="line"><span class="lineno"> 32</span> a = <span class="stringliteral">&quot;0&quot;</span> + a;</div>
<div class="line"><span class="lineno"> 33</span> }</div>
<div class="line"><span class="lineno"> 34</span> </div>
<div class="line"><span class="lineno"> 35</span> <span class="comment">// fills up with zeros</span></div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">while</span> (b.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>() &lt; a.length()) {</div>
<div class="line"><span class="lineno"> 37</span> b = <span class="stringliteral">&quot;0&quot;</span> + b;</div>
<div class="line"><span class="lineno"> 38</span> }</div>
<div class="line"><span class="lineno"> 39</span> </div>
<div class="line"><span class="lineno"> 40</span> <span class="comment">// adds the numbers a and b</span></div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = a.length() - 1; i &gt;= 0; i--) {</div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordtype">char</span> val = <span class="keyword">static_cast&lt;</span><span class="keywordtype">char</span><span class="keyword">&gt;</span>(((a[i] - 48) + (b[i] - 48)) + 48 + carry);</div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">if</span> (val &gt; 57) {</div>
<div class="line"><span class="lineno"> 44</span> carry = 1;</div>
<div class="line"><span class="lineno"> 45</span> val -= 10;</div>
<div class="line"><span class="lineno"> 46</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 47</span> carry = 0;</div>
<div class="line"><span class="lineno"> 48</span> }</div>
<div class="line"><span class="lineno"> 49</span> temp = val + temp;</div>
<div class="line"><span class="lineno"> 50</span> }</div>
<div class="line"><span class="lineno"> 51</span> </div>
<div class="line"><span class="lineno"> 52</span> <span class="comment">// processes the carry flag</span></div>
<div class="line"><span class="lineno"> 53</span> <span class="keywordflow">if</span> (carry == 1) {</div>
<div class="line"><span class="lineno"> 54</span> temp = <span class="stringliteral">&quot;1&quot;</span> + temp;</div>
<div class="line"><span class="lineno"> 55</span> }</div>
<div class="line"><span class="lineno"> 56</span> </div>
<div class="line"><span class="lineno"> 57</span> <span class="comment">// removes leading zeros.</span></div>
<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">while</span> (temp[0] == <span class="charliteral">&#39;0&#39;</span> &amp;&amp; temp.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>() &gt; 1) {</div>
<div class="line"><span class="lineno"> 59</span> temp = temp.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/substr.html">substr</a>(1);</div>
<div class="line"><span class="lineno"> 60</span> }</div>
<div class="line"><span class="lineno"> 61</span> </div>
<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">return</span> temp;</div>
<div class="line"><span class="lineno"> 63</span>}</div>
<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>
<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="asubstr_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/substr.html">std::string::substr</a></div><div class="ttdeci">T substr(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ad8055ee368a5d5b24de01bdde6bf8fca">&#9670;&#160;</a></span>fib_Accurate()</h2>
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<td class="memname">void fib_Accurate </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>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"><span class="lineno"> 68</span> {</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_classRef" 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"><span class="lineno"> 70</span> <a class="code hl_classRef" 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"><span class="lineno"> 71</span> <a class="code hl_classRef" 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"><span class="lineno"> 72</span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><span class="lineno"> 73</span> tmp = <a class="code hl_function" href="#a28052eee05d43c2ebc5147c52bd50c35">add</a>(fibMinus1, fibMinus2);</div>
<div class="line"><span class="lineno"> 74</span> fibMinus2 = fibMinus1;</div>
<div class="line"><span class="lineno"> 75</span> fibMinus1 = tmp;</div>
<div class="line"><span class="lineno"> 76</span> }</div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; fibMinus2;</div>
<div class="line"><span class="lineno"> 78</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>
<div class="ttc" id="astring__fibonacci_8cpp_html_a28052eee05d43c2ebc5147c52bd50c35"><div class="ttname"><a href="#a28052eee05d43c2ebc5147c52bd50c35">add</a></div><div class="ttdeci">std::string add(std::string a, std::string b)</div><div class="ttdef"><b>Definition</b> string_fibonacci.cpp:24</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 </p>
<div class="fragment"><div class="line"><span class="lineno"> 81</span> {</div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordtype">int</span> n;</div>
<div class="line"><span class="lineno"> 83</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 whatever number N you want to find the fibonacci of\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 84</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"> 85</span> <a class="code hl_classRef" 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"><span class="lineno"> 86</span> <a class="code hl_function" href="#ad8055ee368a5d5b24de01bdde6bf8fca">fib_Accurate</a>(n);</div>
<div class="line"><span class="lineno"> 87</span> </div>
<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 89</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>
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