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<div class="headertitle"><div class="title">factorial_memoization.cpp File Reference</div></div>
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<p><a href="https://en.wikipedia.org/wiki/Factorial" target="_blank">Factorial</a> calculation using recursion and <a href="https://en.wikipedia.org/wiki/Memoization" target="_blank">memoization</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for factorial_memoization.cpp:</div>
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<p><a href="../../d2/d96/factorial__memoization_8cpp_source.html">Go to the source code of this file.</a></p>
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Classes</h2></td></tr>
<tr class="memitem:MemorisedFactorial" id="r_MemorisedFactorial"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d15/class_memorised_factorial.html">MemorisedFactorial</a></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a9751a0bc20119c085f67d577bd642a5c" id="r_a9751a0bc20119c085f67d577bd642a5c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a9751a0bc20119c085f67d577bd642a5c">test_MemorisedFactorial_in_order</a> ()</td></tr>
<tr class="memitem:a6be06a21e64f22e64d368e157dfee106" id="r_a6be06a21e64f22e64d368e157dfee106"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a6be06a21e64f22e64d368e157dfee106">test_MemorisedFactorial_no_order</a> ()</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 to run tests. <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><a href="https://en.wikipedia.org/wiki/Factorial" target="_blank">Factorial</a> calculation using recursion and <a href="https://en.wikipedia.org/wiki/Memoization" target="_blank">memoization</a> </p>
<p>This program computes the factorial of a non-negative integer using recursion with memoization (top-down dynamic programming). It stores intermediate results to avoid redundant calculations for improved efficiency.</p>
<p>Memoization is a form of caching where the result to an expensive function call is stored and returned. Example: Input: n = 5 Output: 120</p>
<p>Explanation: 5! = 5 × 4 × 3 × 2 × 1 = 120</p>
<p>The program uses a recursive function which caches computed results in a memo array to avoid recalculating factorials for the same numbers.</p>
<p>Time Complexity: O(n) Space Complexity: O(n) </p>
<p class="definition">Definition in file <a class="el" href="../../d2/d96/factorial__memoization_8cpp_source.html">factorial_memoization.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="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>
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<p>Main function to run tests. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on program success </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d2/d96/factorial__memoization_8cpp_source.html#l00061">61</a> of file <a class="el" href="../../d2/d96/factorial__memoization_8cpp_source.html">factorial_memoization.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 61</span> {</div>
<div class="line"><span class="lineno"> 62</span> test_MemorisedFactorial_in_order();</div>
<div class="line"><span class="lineno"> 63</span> test_MemorisedFactorial_no_order();</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 65</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a9751a0bc20119c085f67d577bd642a5c">&#9670;&#160;</a></span>test_MemorisedFactorial_in_order()</h2>
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<td class="memname">void test_MemorisedFactorial_in_order </td>
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<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<p class="definition">Definition at line <a class="el" href="../../d2/d96/factorial__memoization_8cpp_source.html#l00044">44</a> of file <a class="el" href="../../d2/d96/factorial__memoization_8cpp_source.html">factorial_memoization.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 44</span> {</div>
<div class="line"><span class="lineno"> 45</span> <span class="keyword">auto</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">factorial</a> = <a class="code hl_class" href="../../da/d15/class_memorised_factorial.html">MemorisedFactorial</a>();</div>
<div class="line"><span class="lineno"> 46</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">factorial</a>(0) == 1);</div>
<div class="line"><span class="lineno"> 47</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">factorial</a>(1) == 1);</div>
<div class="line"><span class="lineno"> 48</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">factorial</a>(5) == 120);</div>
<div class="line"><span class="lineno"> 49</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">factorial</a>(10) == 3628800);</div>
<div class="line"><span class="lineno"> 50</span>}</div>
<div class="ttc" id="aclass_memorised_factorial_html"><div class="ttname"><a href="../../da/d15/class_memorised_factorial.html">MemorisedFactorial</a></div><div class="ttdef"><b>Definition</b> <a href="../../d2/d96/factorial__memoization_8cpp_source.html#l00027">factorial_memoization.cpp:27</a></div></div>
<div class="ttc" id="anamespacemath_html_a7e78996673df791014cfe540b183456a"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">math::factorial</a></div><div class="ttdeci">uint64_t factorial(uint8_t n)</div><div class="ttdoc">function to find factorial of given number</div><div class="ttdef"><b>Definition</b> <a href="../../d9/d00/factorial_8cpp_source.html#l00029">factorial.cpp:29</a></div></div>
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<a id="a6be06a21e64f22e64d368e157dfee106" name="a6be06a21e64f22e64d368e157dfee106"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6be06a21e64f22e64d368e157dfee106">&#9670;&#160;</a></span>test_MemorisedFactorial_no_order()</h2>
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<td class="memname">void test_MemorisedFactorial_no_order </td>
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<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<p class="definition">Definition at line <a class="el" href="../../d2/d96/factorial__memoization_8cpp_source.html#l00052">52</a> of file <a class="el" href="../../d2/d96/factorial__memoization_8cpp_source.html">factorial_memoization.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 52</span> {</div>
<div class="line"><span class="lineno"> 53</span> <span class="keyword">auto</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">factorial</a> = <a class="code hl_class" href="../../da/d15/class_memorised_factorial.html">MemorisedFactorial</a>();</div>
<div class="line"><span class="lineno"> 54</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a7e78996673df791014cfe540b183456a">factorial</a>(10) == 3628800);</div>
<div class="line"><span class="lineno"> 55</span>}</div>
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