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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;iostream&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;array&gt;</code><br />
<code>#include &lt;cstdint&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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Namespaces</h2></td></tr>
<tr class="memitem:math" id="r_math"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for assert <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a73b07abea036f1ce2e3ac5dc169bdb4b" id="r_a73b07abea036f1ce2e3ac5dc169bdb4b"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a> (uint64_t n)</td></tr>
<tr class="memdesc:a73b07abea036f1ce2e3ac5dc169bdb4b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the factorial of a non-negative integer using recursion and memoization. <br /></td></tr>
<tr class="memitem:a4243a60d73b9e1296de20196d5b155ba" id="r_a4243a60d73b9e1296de20196d5b155ba"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a4243a60d73b9e1296de20196d5b155ba">test_fact_recursion</a> ()</td></tr>
<tr class="memdesc:a4243a60d73b9e1296de20196d5b155ba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations for the fact_recursion function. <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 to run test cases and interact with the user. <br /></td></tr>
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Variables</h2></td></tr>
<tr class="memitem:a0f9b4d5fae79e1029daf9bd1b93ec217" id="r_a0f9b4d5fae79e1029daf9bd1b93ec217"><td class="memItemLeft" align="right" valign="top">std::array&lt; uint64_t, 1000 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a0f9b4d5fae79e1029daf9bd1b93ec217">memo</a> {0}</td></tr>
<tr class="memdesc:a0f9b4d5fae79e1029daf9bd1b93ec217"><td class="mdescLeft">&#160;</td><td class="mdescRight">Array to store computed factorials for memoization. <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 fact_recursion 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><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/git5v" target="_blank">Vedant Mukhedkar</a> </dd></dl>
<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 test cases and interact with the user. </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#l00069">69</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"> 69</span> {</div>
<div class="line"><span class="lineno"> 70</span> <span class="comment">// Run test cases</span></div>
<div class="line"><span class="lineno"> 71</span> <a class="code hl_function" href="#a4243a60d73b9e1296de20196d5b155ba">test_fact_recursion</a>();</div>
<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 73</span>}</div>
<div class="ttc" id="afactorial__memoization_8cpp_html_a4243a60d73b9e1296de20196d5b155ba"><div class="ttname"><a href="#a4243a60d73b9e1296de20196d5b155ba">test_fact_recursion</a></div><div class="ttdeci">void test_fact_recursion()</div><div class="ttdoc">Self-test implementations for the fact_recursion function.</div><div class="ttdef"><b>Definition</b> <a href="../../d2/d96/factorial__memoization_8cpp_source.html#l00056">factorial_memoization.cpp:56</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4243a60d73b9e1296de20196d5b155ba">&#9670;&#160;</a></span>test_fact_recursion()</h2>
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<td class="memname">void test_fact_recursion </td>
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<p>Self-test implementations for the fact_recursion function. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d2/d96/factorial__memoization_8cpp_source.html#l00056">56</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"> 56</span> {</div>
<div class="line"><span class="lineno"> 57</span> <span class="comment">// Test cases for factorial computation</span></div>
<div class="line"><span class="lineno"> 58</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a>(0) == 1);</div>
<div class="line"><span class="lineno"> 59</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a>(1) == 1);</div>
<div class="line"><span class="lineno"> 60</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a>(5) == 120);</div>
<div class="line"><span class="lineno"> 61</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a>(10) == 3628800);</div>
<div class="line"><span class="lineno"> 62</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All test cases passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 63</span>}</div>
<div class="ttc" id="anamespacemath_html_a73b07abea036f1ce2e3ac5dc169bdb4b"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a></div><div class="ttdeci">uint64_t fact_recursion(uint64_t n)</div><div class="ttdoc">Computes the factorial of a non-negative integer using recursion and memoization.</div><div class="ttdef"><b>Definition</b> <a href="../../d2/d96/factorial__memoization_8cpp_source.html#l00044">factorial_memoization.cpp:44</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="#a0f9b4d5fae79e1029daf9bd1b93ec217">&#9670;&#160;</a></span>memo</h2>
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<td class="memname">std::array&lt;uint64_t, 1000&gt; memo {0}</td>
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<p>Array to store computed factorials for memoization. </p>
<p class="definition">Definition at line <a class="el" href="../../d2/d96/factorial__memoization_8cpp_source.html#l00031">31</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"> 31</span>{0};</div>
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