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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>
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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="separator:a5712edca101204eca8accdb1e096707f"><td class="memSeparator" colspan="2">&#160;</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>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main Function. <br /></td></tr>
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<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>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<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><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a5712edca101204eca8accdb1e096707f">&#9670;&#160;</a></span>fib()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#abebd72fcda852381644b55f9316719a0">&#9670;&#160;</a></span>MAX</h2>
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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 <code>uint64_t</code> data type. </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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