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<p>Faster computation of Fibonacci series.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cinttypes&gt;</code><br />
<code>#include &lt;cstdio&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;string&gt;</code><br />
<code>#include &lt;stdexcept&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for fibonacci_fast.cpp:</div>
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<p><a href="../../d4/d32/fibonacci__fast_8cpp_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
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Functions</h2></td></tr>
<tr class="memitem:a5712edca101204eca8accdb1e096707f" id="r_a5712edca101204eca8accdb1e096707f"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a5712edca101204eca8accdb1e096707f">fib</a> (uint64_t n)</td></tr>
<tr class="memdesc:a5712edca101204eca8accdb1e096707f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to compute the nth Fibonacci number. <br /></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">Function to test the Fibonacci computation. <br /></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>
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Variables</h2></td></tr>
<tr class="memitem:abebd72fcda852381644b55f9316719a0" id="r_abebd72fcda852381644b55f9316719a0"><td class="memItemLeft" align="right" valign="top">constexpr uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#abebd72fcda852381644b55f9316719a0">MAX</a> = 93</td></tr>
<tr class="memdesc:abebd72fcda852381644b55f9316719a0"><td class="mdescLeft">&#160;</td><td class="mdescRight">for std::invalid_argument <br /></td></tr>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Faster computation of Fibonacci series. </p>
<p>An efficient way to calculate nth fibonacci number faster and simpler than \(O(n\log n)\) method of matrix exponentiation. This works by using both recursion and dynamic programming. As 93rd fibonacci exceeds 19 digits, which cannot be stored in a single long long variable, we can only use it till 92nd fibonacci we can use it for 10000th fibonacci etc, if we implement bigintegers. This algorithm works with the fact that nth fibonacci can easily found if we have already found \(n/2\)th or \((n+1)/2\)th fibonacci. It is a property of fibonacci similar to matrix exponentiation.</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="../../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="../../d9/d89/fibonacci_8cpp.html" title="n-th Fibonacci number.">fibonacci.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>
<p class="definition">Definition in file <a class="el" href="../../d4/d32/fibonacci__fast_8cpp_source.html">fibonacci_fast.cpp</a>.</p>
</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
<a id="a5712edca101204eca8accdb1e096707f" name="a5712edca101204eca8accdb1e096707f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5712edca101204eca8accdb1e096707f">&#9670;&#160;</a></span>fib()</h2>
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<td class="memname">uint64_t fib </td>
<td>(</td>
<td class="paramtype">uint64_t</td> <td class="paramname"><span class="paramname"><em>n</em></span></td><td>)</td>
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<p>Function to compute the nth Fibonacci number. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>The index of the Fibonacci number to compute </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>uint64_t The nth Fibonacci number </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d4/d32/fibonacci__fast_8cpp_source.html#l00038">38</a> of file <a class="el" href="../../d4/d32/fibonacci__fast_8cpp_source.html">fibonacci_fast.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 38</span> {</div>
<div class="line"><span class="lineno"> 39</span> <span class="comment">// Using static keyword will retain the values of</span></div>
<div class="line"><span class="lineno"> 40</span> <span class="comment">// f1 and f2 for the next function call.</span></div>
<div class="line"><span class="lineno"> 41</span> <span class="keyword">static</span> uint64_t f1 = 1, f2 = 1;</div>
<div class="line"><span class="lineno"> 42</span> </div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">if</span> (n &lt;= 2) {</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">return</span> f2;</div>
<div class="line"><span class="lineno"> 45</span> } <span class="keywordflow">if</span> (n &gt;= MAX) {</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Cannot compute for n&gt;=&quot;</span> + std::to_string(MAX) +</div>
<div class="line"><span class="lineno"> 47</span> <span class="stringliteral">&quot; due to limit of 64-bit integers&quot;</span>);</div>
<div class="line"><span class="lineno"> 48</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 49</span> }</div>
<div class="line"><span class="lineno"> 50</span> </div>
<div class="line"><span class="lineno"> 51</span> <span class="comment">// We do not need temp to be static.</span></div>
<div class="line"><span class="lineno"> 52</span> uint64_t temp = f2; </div>
<div class="line"><span class="lineno"> 53</span> f2 += f1;</div>
<div class="line"><span class="lineno"> 54</span> f1 = temp;</div>
<div class="line"><span class="lineno"> 55</span> </div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">return</span> f2;</div>
<div class="line"><span class="lineno"> 57</span>}</div>
</div><!-- fragment -->
</div>
</div>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<td class="paramtype">void</td> <td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
</tr>
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<p>Main Function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d4/d32/fibonacci__fast_8cpp_source.html#l00175">175</a> of file <a class="el" href="../../d4/d32/fibonacci__fast_8cpp_source.html">fibonacci_fast.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 175</span> {</div>
<div class="line"><span class="lineno"> 176</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"> 177</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 178</span>}</div>
<div class="ttc" id="afibonacci__fast_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Function to test the Fibonacci computation.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d32/fibonacci__fast_8cpp_source.html#l00063">fibonacci_fast.cpp:63</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">void test </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel static">static</span></span> </td>
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<p>Function to test the Fibonacci computation. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d4/d32/fibonacci__fast_8cpp_source.html#l00063">63</a> of file <a class="el" href="../../d4/d32/fibonacci__fast_8cpp_source.html">fibonacci_fast.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 63</span> {</div>
<div class="line"><span class="lineno"> 64</span> <span class="comment">// Test for valid Fibonacci numbers</span></div>
<div class="line"><span class="lineno"> 65</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(1) == 1);</div>
<div class="line"><span class="lineno"> 66</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(2) == 1);</div>
<div class="line"><span class="lineno"> 67</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(3) == 2);</div>
<div class="line"><span class="lineno"> 68</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(4) == 3);</div>
<div class="line"><span class="lineno"> 69</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(5) == 5);</div>
<div class="line"><span class="lineno"> 70</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(6) == 8);</div>
<div class="line"><span class="lineno"> 71</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(7) == 13);</div>
<div class="line"><span class="lineno"> 72</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(8) == 21);</div>
<div class="line"><span class="lineno"> 73</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(9) == 34);</div>
<div class="line"><span class="lineno"> 74</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(10) == 55);</div>
<div class="line"><span class="lineno"> 75</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(11) == 89);</div>
<div class="line"><span class="lineno"> 76</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(12) == 144);</div>
<div class="line"><span class="lineno"> 77</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(13) == 233);</div>
<div class="line"><span class="lineno"> 78</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(14) == 377);</div>
<div class="line"><span class="lineno"> 79</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(15) == 610);</div>
<div class="line"><span class="lineno"> 80</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(16) == 987);</div>
<div class="line"><span class="lineno"> 81</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(17) == 1597);</div>
<div class="line"><span class="lineno"> 82</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(18) == 2584);</div>
<div class="line"><span class="lineno"> 83</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(19) == 4181);</div>
<div class="line"><span class="lineno"> 84</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(20) == 6765);</div>
<div class="line"><span class="lineno"> 85</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(21) == 10946);</div>
<div class="line"><span class="lineno"> 86</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(22) == 17711);</div>
<div class="line"><span class="lineno"> 87</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(23) == 28657);</div>
<div class="line"><span class="lineno"> 88</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(24) == 46368);</div>
<div class="line"><span class="lineno"> 89</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(25) == 75025);</div>
<div class="line"><span class="lineno"> 90</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(26) == 121393);</div>
<div class="line"><span class="lineno"> 91</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(27) == 196418);</div>
<div class="line"><span class="lineno"> 92</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(28) == 317811);</div>
<div class="line"><span class="lineno"> 93</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(29) == 514229);</div>
<div class="line"><span class="lineno"> 94</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(30) == 832040);</div>
<div class="line"><span class="lineno"> 95</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(31) == 1346269);</div>
<div class="line"><span class="lineno"> 96</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(32) == 2178309);</div>
<div class="line"><span class="lineno"> 97</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(33) == 3524578);</div>
<div class="line"><span class="lineno"> 98</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(34) == 5702887);</div>
<div class="line"><span class="lineno"> 99</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(35) == 9227465);</div>
<div class="line"><span class="lineno"> 100</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(36) == 14930352);</div>
<div class="line"><span class="lineno"> 101</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(37) == 24157817);</div>
<div class="line"><span class="lineno"> 102</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(38) == 39088169);</div>
<div class="line"><span class="lineno"> 103</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(39) == 63245986);</div>
<div class="line"><span class="lineno"> 104</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(40) == 102334155);</div>
<div class="line"><span class="lineno"> 105</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(41) == 165580141);</div>
<div class="line"><span class="lineno"> 106</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(42) == 267914296);</div>
<div class="line"><span class="lineno"> 107</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(43) == 433494437);</div>
<div class="line"><span class="lineno"> 108</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(44) == 701408733);</div>
<div class="line"><span class="lineno"> 109</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(45) == 1134903170);</div>
<div class="line"><span class="lineno"> 110</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(46) == 1836311903);</div>
<div class="line"><span class="lineno"> 111</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(47) == 2971215073);</div>
<div class="line"><span class="lineno"> 112</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(48) == 4807526976);</div>
<div class="line"><span class="lineno"> 113</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(49) == 7778742049);</div>
<div class="line"><span class="lineno"> 114</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(50) == 12586269025);</div>
<div class="line"><span class="lineno"> 115</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(51) == 20365011074);</div>
<div class="line"><span class="lineno"> 116</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(52) == 32951280099);</div>
<div class="line"><span class="lineno"> 117</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(53) == 53316291173);</div>
<div class="line"><span class="lineno"> 118</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(54) == 86267571272);</div>
<div class="line"><span class="lineno"> 119</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(55) == 139583862445);</div>
<div class="line"><span class="lineno"> 120</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(56) == 225851433717);</div>
<div class="line"><span class="lineno"> 121</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(57) == 365435296162);</div>
<div class="line"><span class="lineno"> 122</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(58) == 591286729879);</div>
<div class="line"><span class="lineno"> 123</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(59) == 956722026041);</div>
<div class="line"><span class="lineno"> 124</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(60) == 1548008755920);</div>
<div class="line"><span class="lineno"> 125</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(61) == 2504730781961);</div>
<div class="line"><span class="lineno"> 126</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(62) == 4052739537881);</div>
<div class="line"><span class="lineno"> 127</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(63) == 6557470319842);</div>
<div class="line"><span class="lineno"> 128</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(64) == 10610209857723);</div>
<div class="line"><span class="lineno"> 129</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(65) == 17167680177565);</div>
<div class="line"><span class="lineno"> 130</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(66) == 27777890035288);</div>
<div class="line"><span class="lineno"> 131</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(67) == 44945570212853);</div>
<div class="line"><span class="lineno"> 132</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(68) == 72723460248141);</div>
<div class="line"><span class="lineno"> 133</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(69) == 117669030460994);</div>
<div class="line"><span class="lineno"> 134</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(70) == 190392490709135);</div>
<div class="line"><span class="lineno"> 135</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(71) == 308061521170129);</div>
<div class="line"><span class="lineno"> 136</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(72) == 498454011879264);</div>
<div class="line"><span class="lineno"> 137</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(73) == 806515533049393);</div>
<div class="line"><span class="lineno"> 138</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(74) == 1304969544928657);</div>
<div class="line"><span class="lineno"> 139</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(75) == 2111485077978050);</div>
<div class="line"><span class="lineno"> 140</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(76) == 3416454622906707);</div>
<div class="line"><span class="lineno"> 141</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(77) == 5527939700884757);</div>
<div class="line"><span class="lineno"> 142</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(78) == 8944394323791464);</div>
<div class="line"><span class="lineno"> 143</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(79) == 14472334024676221);</div>
<div class="line"><span class="lineno"> 144</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(80) == 23416728348467685);</div>
<div class="line"><span class="lineno"> 145</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(81) == 37889062373143906);</div>
<div class="line"><span class="lineno"> 146</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(82) == 61305790721611591);</div>
<div class="line"><span class="lineno"> 147</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(83) == 99194853094755497);</div>
<div class="line"><span class="lineno"> 148</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(84) == 160500643816367088);</div>
<div class="line"><span class="lineno"> 149</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(85) == 259695496911122585);</div>
<div class="line"><span class="lineno"> 150</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(86) == 420196140727489673);</div>
<div class="line"><span class="lineno"> 151</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(87) == 679891637638612258);</div>
<div class="line"><span class="lineno"> 152</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(88) == 1100087778366101931);</div>
<div class="line"><span class="lineno"> 153</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(89) == 1779979416004714189);</div>
<div class="line"><span class="lineno"> 154</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(90) == 2880067194370816120);</div>
<div class="line"><span class="lineno"> 155</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(91) == 4660046610375530309);</div>
<div class="line"><span class="lineno"> 156</span> assert(<a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(92) == 7540113804746346429);</div>
<div class="line"><span class="lineno"> 157</span> </div>
<div class="line"><span class="lineno"> 158</span> <span class="comment">// Test for invalid Fibonacci numbers</span></div>
<div class="line"><span class="lineno"> 159</span> <span class="keywordflow">try</span> {</div>
<div class="line"><span class="lineno"> 160</span> <a class="code hl_function" href="#a5712edca101204eca8accdb1e096707f">fib</a>(MAX + 1);</div>
<div class="line"><span class="lineno"> 161</span> assert(<span class="keyword">false</span> &amp;&amp; <span class="stringliteral">&quot;Expected an invalid_argument exception to be thrown&quot;</span>);</div>
<div class="line"><span class="lineno"> 162</span> } <span class="keywordflow">catch</span> (<span class="keyword">const</span> std::invalid_argument&amp; e) {</div>
<div class="line"><span class="lineno"> 163</span> <span class="keyword">const</span> std::string expected_message = <span class="stringliteral">&quot;Cannot compute for n&gt;=&quot;</span> + std::to_string(MAX) +</div>
<div class="line"><span class="lineno"> 164</span> <span class="stringliteral">&quot; due to limit of 64-bit integers&quot;</span>;</div>
<div class="line"><span class="lineno"> 165</span> assert(e.what() == expected_message);</div>
<div class="line"><span class="lineno"> 166</span> }</div>
<div class="line"><span class="lineno"> 167</span> </div>
<div class="line"><span class="lineno"> 168</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All Fibonacci tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 169</span>}</div>
<div class="ttc" id="afibonacci__fast_8cpp_html_a5712edca101204eca8accdb1e096707f"><div class="ttname"><a href="#a5712edca101204eca8accdb1e096707f">fib</a></div><div class="ttdeci">uint64_t fib(uint64_t n)</div><div class="ttdoc">Function to compute the nth Fibonacci number.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d32/fibonacci__fast_8cpp_source.html#l00038">fibonacci_fast.cpp:38</a></div></div>
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<a name="doc-var-members" id="doc-var-members"></a><h2 id="header-doc-var-members" class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#abebd72fcda852381644b55f9316719a0">&#9670;&#160;</a></span>MAX</h2>
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<td class="memname">uint64_t MAX = 93</td>
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<p>for std::invalid_argument </p>
<p>for uint64_t for standard IO for IO operations for assert for std::to_string</p>
<p>Maximum Fibonacci number that can be computed</p>
<p>The result after 93 cannot be stored in a <span class="tt">uint64_t</span> data type. </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d32/fibonacci__fast_8cpp_source.html#l00031">31</a> of file <a class="el" href="../../d4/d32/fibonacci__fast_8cpp_source.html">fibonacci_fast.cpp</a>.</p>
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