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realstealthninja
2025-05-19 11:38:33 +00:00
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<title>TheAlgorithms/C++: math/fibonacci_fast.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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@@ -124,16 +124,16 @@ $(function(){initNavTree('d4/d32/fibonacci__fast_8cpp_source.html','../../'); in
<div class="headertitle"><div class="title">fibonacci_fast.cpp</div></div>
</div><!--header-->
<div class="contents">
<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>
<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 <a class="code hl_variable" href="../../d4/d32/fibonacci__fast_8cpp.html#abebd72fcda852381644b55f9316719a0">MAX</a> = 93;</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</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>
@@ -142,8 +142,8 @@ $(function(){initNavTree('d4/d32/fibonacci__fast_8cpp_source.html','../../'); in
<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;= <a class="code hl_variable" href="../../d4/d32/fibonacci__fast_8cpp.html#abebd72fcda852381644b55f9316719a0">MAX</a>) {</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(<a class="code hl_variable" href="../../d4/d32/fibonacci__fast_8cpp.html#abebd72fcda852381644b55f9316719a0">MAX</a>) +</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>
@@ -156,7 +156,7 @@ $(function(){initNavTree('d4/d32/fibonacci__fast_8cpp_source.html','../../'); in
<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="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>
@@ -255,10 +255,10 @@ $(function(){initNavTree('d4/d32/fibonacci__fast_8cpp_source.html','../../'); in
<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>(<a class="code hl_variable" href="../../d4/d32/fibonacci__fast_8cpp.html#abebd72fcda852381644b55f9316719a0">MAX</a> + 1);</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(<a class="code hl_variable" href="../../d4/d32/fibonacci__fast_8cpp.html#abebd72fcda852381644b55f9316719a0">MAX</a>) +</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>
@@ -266,7 +266,7 @@ $(function(){initNavTree('d4/d32/fibonacci__fast_8cpp_source.html','../../'); in
<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="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>
@@ -275,7 +275,6 @@ $(function(){initNavTree('d4/d32/fibonacci__fast_8cpp_source.html','../../'); in
</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_abebd72fcda852381644b55f9316719a0"><div class="ttname"><a href="../../d4/d32/fibonacci__fast_8cpp.html#abebd72fcda852381644b55f9316719a0">MAX</a></div><div class="ttdeci">constexpr uint64_t MAX</div><div class="ttdoc">for std::invalid_argument</div><div class="ttdef"><b>Definition</b> <a href="#l00031">fibonacci_fast.cpp:31</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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