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<p>computes and caches Catalan numbers
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Collaboration diagram for catalan_numbers:</div>
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Public Member Functions</h2></td></tr>
<tr class="memitem:a54655c66cf89186d3d1fa90829b28ab8" id="r_a54655c66cf89186d3d1fa90829b28ab8"><td class="memItemLeft" align="right" valign="top">value_type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a54655c66cf89186d3d1fa90829b28ab8">get</a> (std::size_t n)</td></tr>
<tr class="memdesc:a54655c66cf89186d3d1fa90829b28ab8"><td class="mdescLeft">&#160;</td><td class="mdescRight">computes the n-th Catalan number and updates the cache. <br /></td></tr>
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Private Types</h2></td></tr>
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Private Member Functions</h2></td></tr>
<tr class="memitem:a141beca0f50fbb4cd5ca8d53819bc43d" id="r_a141beca0f50fbb4cd5ca8d53819bc43d"><td class="memItemLeft" align="right" valign="top">value_type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a141beca0f50fbb4cd5ca8d53819bc43d">compute_next</a> ()</td></tr>
<tr class="memitem:abf882dee674593be3df61a36443b5632" id="r_abf882dee674593be3df61a36443b5632"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#abf882dee674593be3df61a36443b5632">add</a> ()</td></tr>
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Private Attributes</h2></td></tr>
<tr class="memitem:ad37c6891d102bb758d3d3d85fb7f1798" id="r_ad37c6891d102bb758d3d3d85fb7f1798"><td class="memItemLeft" align="right" valign="top">std::vector&lt; value_type &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ad37c6891d102bb758d3d3d85fb7f1798">known</a> {1, 1}</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>computes and caches Catalan numbers </p>
<p>for assert for std::uint64_t for std::size_t for std::plus &amp; std::multiplies for std::transform_reduce for std::vector </p>
<p class="definition">Definition at line <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html#l00022">22</a> of file <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html">catalan_numbers.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a0bfc8c78494c93dbb4c7d67b7300cf1a">&#9670;&#160;</a></span>value_type</h2>
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<td class="memname">using catalan_numbers::value_type = std::uint64_t</td>
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<span class="mlabels"><span class="mlabel private">private</span></span> </td>
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<p class="definition">Definition at line <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html#l00023">23</a> of file <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html">catalan_numbers.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#abf882dee674593be3df61a36443b5632">&#9670;&#160;</a></span>add()</h2>
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<td class="memname">void catalan_numbers::add </td>
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<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<span class="mlabels"><span class="mlabel inline">inline</span><span class="mlabel private">private</span></span> </td>
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<p class="definition">Definition at line <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html#l00032">32</a> of file <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html">catalan_numbers.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 32</span>{ known.push_back(this-&gt;compute_next()); }</div>
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<a id="a141beca0f50fbb4cd5ca8d53819bc43d" name="a141beca0f50fbb4cd5ca8d53819bc43d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a141beca0f50fbb4cd5ca8d53819bc43d">&#9670;&#160;</a></span>compute_next()</h2>
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<td class="memname">value_type catalan_numbers::compute_next </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="../../de/dd9/catalan__numbers_8cpp_source.html#l00026">26</a> of file <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html">catalan_numbers.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 26</span> {</div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">return</span> std::transform_reduce(known.begin(), known.end(), known.rbegin(),</div>
<div class="line"><span class="lineno"> 28</span> <span class="keyword">static_cast&lt;</span>value_type<span class="keyword">&gt;</span>(0), std::plus&lt;&gt;(),</div>
<div class="line"><span class="lineno"> 29</span> std::multiplies&lt;&gt;());</div>
<div class="line"><span class="lineno"> 30</span> }</div>
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<a id="a54655c66cf89186d3d1fa90829b28ab8" name="a54655c66cf89186d3d1fa90829b28ab8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a54655c66cf89186d3d1fa90829b28ab8">&#9670;&#160;</a></span>get()</h2>
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<td class="memname">value_type catalan_numbers::get </td>
<td>(</td>
<td class="paramtype">std::size_t</td> <td class="paramname"><span class="paramname"><em>n</em></span></td><td>)</td>
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<p>computes the n-th Catalan number and updates the cache. </p>
<dl class="section return"><dt>Returns</dt><dd>the n-th Catalan number </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html#l00039">39</a> of file <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html">catalan_numbers.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 39</span> {</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">while</span> (known.size() &lt;= n) {</div>
<div class="line"><span class="lineno"> 41</span> this-&gt;add();</div>
<div class="line"><span class="lineno"> 42</span> }</div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">return</span> known[n];</div>
<div class="line"><span class="lineno"> 44</span> }</div>
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<a name="doc-variable-members" id="doc-variable-members"></a><h2 id="header-doc-variable-members" class="groupheader">Member Data Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ad37c6891d102bb758d3d3d85fb7f1798">&#9670;&#160;</a></span>known</h2>
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<td class="memname">std::vector&lt;value_type&gt; catalan_numbers::known {1, 1}</td>
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<p class="definition">Definition at line <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html#l00024">24</a> of file <a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html">catalan_numbers.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 24</span>{1, 1};</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>dynamic_programming/<a class="el" href="../../de/dd9/catalan__numbers_8cpp_source.html">catalan_numbers.cpp</a></li>
</ul>
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