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<div class="headertitle"><div class="title">fibonacci_fast.cpp</div></div>
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<a href="../../d4/d32/fibonacci__fast_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;cinttypes&gt;</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;cstdio&gt;</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &lt;string&gt;</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &lt;stdexcept&gt;</span> </div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="../../d4/d32/fibonacci__fast_8cpp.html#abebd72fcda852381644b55f9316719a0"> 31</a></span><span class="keyword">constexpr</span> uint64_t MAX = 93;</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span></div>
<div class="foldopen" id="foldopen00038" data-start="{" data-end="}">
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f"> 38</a></span>uint64_t <a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(uint64_t n) {</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="comment">// Using static keyword will retain the values of</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// f1 and f2 for the next function call.</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">static</span> uint64_t f1 = 1, f2 = 1;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordflow">if</span> (n &lt;= 2) {</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">return</span> f2;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> } <span class="keywordflow">if</span> (n &gt;= MAX) {</div>
<div class="line"><a id="l00046" name="l00046"></a><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"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="stringliteral">&quot; due to limit of 64-bit integers&quot;</span>);</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> }</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="comment">// We do not need temp to be static.</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> uint64_t temp = f2; </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> f2 += f1;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> f1 = temp;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">return</span> f2;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span>}</div>
</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span></div>
<div class="foldopen" id="foldopen00063" data-start="{" data-end="}">
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="../../d4/d32/fibonacci__fast_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 63</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// Test for valid Fibonacci numbers</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(1) == 1);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(2) == 1);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(3) == 2);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(4) == 3);</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(5) == 5);</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(6) == 8);</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(7) == 13);</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(8) == 21);</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(9) == 34);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(10) == 55);</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(11) == 89);</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(12) == 144);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(13) == 233);</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(14) == 377);</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(15) == 610);</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(16) == 987);</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(17) == 1597);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(18) == 2584);</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(19) == 4181);</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(20) == 6765);</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(21) == 10946);</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(22) == 17711);</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(23) == 28657);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(24) == 46368);</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(25) == 75025);</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(26) == 121393);</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(27) == 196418);</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(28) == 317811);</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(29) == 514229);</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(30) == 832040);</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(31) == 1346269);</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(32) == 2178309);</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(33) == 3524578);</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(34) == 5702887);</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(35) == 9227465);</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(36) == 14930352);</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(37) == 24157817);</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(38) == 39088169);</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(39) == 63245986);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(40) == 102334155);</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(41) == 165580141);</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(42) == 267914296);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(43) == 433494437);</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(44) == 701408733);</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(45) == 1134903170);</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(46) == 1836311903);</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(47) == 2971215073);</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(48) == 4807526976);</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(49) == 7778742049);</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(50) == 12586269025);</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(51) == 20365011074);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(52) == 32951280099);</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(53) == 53316291173);</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(54) == 86267571272);</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(55) == 139583862445);</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(56) == 225851433717);</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(57) == 365435296162);</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(58) == 591286729879);</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(59) == 956722026041);</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(60) == 1548008755920);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(61) == 2504730781961);</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(62) == 4052739537881);</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(63) == 6557470319842);</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(64) == 10610209857723);</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(65) == 17167680177565);</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(66) == 27777890035288);</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(67) == 44945570212853);</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(68) == 72723460248141);</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(69) == 117669030460994);</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(70) == 190392490709135);</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(71) == 308061521170129);</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(72) == 498454011879264);</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(73) == 806515533049393);</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(74) == 1304969544928657);</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(75) == 2111485077978050);</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(76) == 3416454622906707);</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(77) == 5527939700884757);</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(78) == 8944394323791464);</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(79) == 14472334024676221);</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(80) == 23416728348467685);</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(81) == 37889062373143906);</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(82) == 61305790721611591);</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(83) == 99194853094755497);</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(84) == 160500643816367088);</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(85) == 259695496911122585);</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(86) == 420196140727489673);</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(87) == 679891637638612258);</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(88) == 1100087778366101931);</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(89) == 1779979416004714189);</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(90) == 2880067194370816120);</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(91) == 4660046610375530309);</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> assert(<a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(92) == 7540113804746346429);</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// Test for invalid Fibonacci numbers</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keywordflow">try</span> {</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a>(MAX + 1);</div>
<div class="line"><a id="l00161" name="l00161"></a><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"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> } <span class="keywordflow">catch</span> (<span class="keyword">const</span> std::invalid_argument&amp; e) {</div>
<div class="line"><a id="l00163" name="l00163"></a><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"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="stringliteral">&quot; due to limit of 64-bit integers&quot;</span>;</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> assert(e.what() == expected_message);</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> }</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a id="l00168" name="l00168"></a><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"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span>}</div>
</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span></div>
<div class="foldopen" id="foldopen00175" data-start="{" data-end="}">
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"><a class="line" href="../../d4/d32/fibonacci__fast_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 175</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <a class="code hl_function" href="../../d4/d32/fibonacci__fast_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span>}</div>
</div>
<div class="ttc" id="afibonacci__fast_8cpp_html_a5712edca101204eca8accdb1e096707f"><div class="ttname"><a href="../../d4/d32/fibonacci__fast_8cpp.html#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="#l00038">fibonacci_fast.cpp:38</a></div></div>
<div class="ttc" id="afibonacci__fast_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d4/d32/fibonacci__fast_8cpp.html#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="#l00063">fibonacci_fast.cpp:63</a></div></div>
<div class="ttc" id="afibonacci__fast_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d4/d32/fibonacci__fast_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main Function.</div><div class="ttdef"><b>Definition</b> <a href="#l00175">fibonacci_fast.cpp:175</a></div></div>
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