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<a href="#func-members">Functions</a> </div>
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<div class="title">kohonen_som_trace.cpp File Reference<div class="ingroups"><a class="el" href="../../d9/d66/group__machine__learning.html">Machine Learning Algorithms</a></div></div> </div>
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<p><a href="https://en.wikipedia.org/wiki/Self-organizing_map">Kohonen self organizing map</a> (data tracing)
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <algorithm></code><br />
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<code>#include <cmath></code><br />
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<code>#include <cstdlib></code><br />
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<code>#include <ctime></code><br />
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<code>#include <fstream></code><br />
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<code>#include <iostream></code><br />
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<code>#include <valarray></code><br />
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<code>#include <vector></code><br />
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Include dependency graph for kohonen_som_trace.cpp:</div>
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<tr class="memdesc:d8/d77/namespacemachine__learning"><td class="mdescLeft"> </td><td class="mdescRight">Machine learning algorithms. <br /></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:gaf5ce14f026d6d231bef29161bac2b485"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a> (double <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>, double b)</td></tr>
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<tr class="separator:gaf5ce14f026d6d231bef29161bac2b485"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga72699c805c19a6cc47a937a6f3378afa"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a> (const char *fname, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> &X)</td></tr>
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<tr class="separator:ga72699c805c19a6cc47a937a6f3378afa"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a361674452869413536ee501f053129a8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a361674452869413536ee501f053129a8">machine_learning::update_weights</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double > &x, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> *W, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double > *D, double alpha, int R)</td></tr>
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<tr class="separator:a361674452869413536ee501f053129a8"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acc6a28f40512dbda75ab1a3969248898"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#acc6a28f40512dbda75ab1a3969248898">machine_learning::kohonen_som_tracer</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> &X, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> *W, double alpha_min)</td></tr>
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<tr class="separator:acc6a28f40512dbda75ab1a3969248898"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab47fb569e63648bd76e7edfdacc02dbd"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d49/kohonen__som__trace_8cpp.html#ab47fb569e63648bd76e7edfdacc02dbd">test_circle</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> *<a class="el" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>)</td></tr>
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<tr class="separator:ab47fb569e63648bd76e7edfdacc02dbd"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1440a7779ac56f47a3f355ce4a8c7da0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d49/kohonen__som__trace_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a> ()</td></tr>
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<tr class="separator:a1440a7779ac56f47a3f355ce4a8c7da0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a412b7afa156306b1f8788643c91a1c60"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d49/kohonen__som__trace_8cpp.html#a412b7afa156306b1f8788643c91a1c60">test_lamniscate</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> *<a class="el" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>)</td></tr>
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<tr class="separator:a412b7afa156306b1f8788643c91a1c60"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0283886819c7c140a023582b7269e2d0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d49/kohonen__som__trace_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a> ()</td></tr>
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<tr class="separator:a0283886819c7c140a023582b7269e2d0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9ab8c79ffb674a63f151f282faeb723b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d49/kohonen__som__trace_8cpp.html#a9ab8c79ffb674a63f151f282faeb723b">test_3d_classes</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> *<a class="el" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>)</td></tr>
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<tr class="separator:a9ab8c79ffb674a63f151f282faeb723b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6d0455dd5c30adda100e95f0423c786e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d49/kohonen__som__trace_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a> ()</td></tr>
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<tr class="separator:a6d0455dd5c30adda100e95f0423c786e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2256c10b16edba377b64a44b6c656908"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d49/kohonen__som__trace_8cpp.html#a2256c10b16edba377b64a44b6c656908">get_clock_diff</a> (clock_t start_t, clock_t end_t)</td></tr>
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<tr class="separator:a2256c10b16edba377b64a44b6c656908"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d49/kohonen__som__trace_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
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<tr class="separator:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Self-organizing_map">Kohonen self organizing map</a> (data tracing) </p>
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<p>This example implements a powerful self organizing map algorithm. The algorithm creates a connected network of weights that closely follows the given data points. This this creates a chain of nodes that resembles the given input shape.</p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a></dd></dl>
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<dl class="section note"><dt>Note</dt><dd>This C++ version of the program is considerable slower than its <a href="https://github.com/kvedala/C/blob/master/machine_learning/kohonen_som_trace.c">C counterpart</a> </dd>
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<dd>
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The compiled code is much slower when compiled with MS Visual C++ 2019 than with GCC on windows </dd></dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d4/def/kohonen__som__topology_8cpp.html" title="Kohonen self organizing map (topological map)">kohonen_som_topology.cpp</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a2256c10b16edba377b64a44b6c656908"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a2256c10b16edba377b64a44b6c656908">◆ </a></span>get_clock_diff()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<td class="memname">double get_clock_diff </td>
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<td>(</td>
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<td class="paramtype">clock_t </td>
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<td class="paramname"><em>start_t</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">clock_t </td>
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<td class="paramname"><em>end_t</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<p>Convert clock cycle difference to time in seconds</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">start_t</td><td>start clock </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">end_t</td><td>end clock </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>time difference in seconds </dd></dl>
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<div class="fragment"><div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  {</div>
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<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(end_t - start_t) / CLOCKS_PER_SEC;</div>
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<div class="line"><a name="l00440"></a><span class="lineno"> 440</span> }</div>
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</div><!-- fragment -->
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<a id="a3c04138a5bfe5d72780bb7e82a18e627"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>argc</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">char ** </td>
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<td class="paramname"><em>argv</em> </td>
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</tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<p>Main function </p>
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<div class="fragment"><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  {</div>
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<div class="line"><a name="l00444"></a><span class="lineno"> 444</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Using OpenMP based parallelization\n"</span>;</div>
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<div class="line"><a name="l00446"></a><span class="lineno"> 446</span> <span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"NOT using OpenMP based parallelization\n"</span>;</div>
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<div class="line"><a name="l00448"></a><span class="lineno"> 448</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  </div>
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<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(<span class="keyword">nullptr</span>));</div>
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<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  </div>
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<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a> start_clk = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
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<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <a class="code" href="../../d9/d49/kohonen__som__trace_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a>();</div>
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<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  <span class="keyword">auto</span> end_clk = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
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<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 1 completed in "</span> << <a class="code" href="../../d9/d49/kohonen__som__trace_8cpp.html#a2256c10b16edba377b64a44b6c656908">get_clock_diff</a>(start_clk, end_clk)</div>
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<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  << <span class="stringliteral">" sec\n"</span>;</div>
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<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  </div>
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<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  start_clk = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
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<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <a class="code" href="../../d9/d49/kohonen__som__trace_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a>();</div>
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<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  end_clk = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
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<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 2 completed in "</span> << <a class="code" href="../../d9/d49/kohonen__som__trace_8cpp.html#a2256c10b16edba377b64a44b6c656908">get_clock_diff</a>(start_clk, end_clk)</div>
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<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  << <span class="stringliteral">" sec\n"</span>;</div>
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<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  </div>
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<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  start_clk = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
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<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <a class="code" href="../../d9/d49/kohonen__som__trace_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a>();</div>
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<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  end_clk = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
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<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 3 completed in "</span> << <a class="code" href="../../d9/d49/kohonen__som__trace_8cpp.html#a2256c10b16edba377b64a44b6c656908">get_clock_diff</a>(start_clk, end_clk)</div>
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<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  << <span class="stringliteral">" sec\n"</span>;</div>
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<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  </div>
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<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div>
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<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  << <span class="stringliteral">"(Note: Calculated times include: creating test sets, training "</span></div>
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<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <span class="stringliteral">"model and writing files to disk.)\n\n"</span>;</div>
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<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00474"></a><span class="lineno"> 474</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1440a7779ac56f47a3f355ce4a8c7da0">◆ </a></span>test1()</h2>
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<td class="memname">void test1 </td>
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<td>(</td>
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<p>Test that creates a random set of points distributed <em>near</em> the circumference of a circle and trains an SOM that finds that circular pattern. The following <a href="https://en.wikipedia.org/wiki/Comma-separated_values">CSV</a> files are created to validate the execution:</p><ul>
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<li><code>test1.csv</code>: random test samples points with a circular pattern</li>
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<li><code>w11.csv</code>: initial random map</li>
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<li><code>w12.csv</code>: trained SOM map</li>
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</ul>
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<p>The outputs can be readily plotted in <a href="https:://gnuplot.info">gnuplot</a> using the following snippet </p><div class="fragment"><div class="line">set datafile separator ','</div>
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<div class="line">plot "test1.csv" title "original", \</div>
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<div class="line"> "w11.csv" title "w1", \</div>
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<div class="line"> "w12.csv" title "w2"</div>
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</div><!-- fragment --><p><img src="https://raw.githubusercontent.com/TheAlgorithms/C-Plus-Plus/docs/images/machine_learning/kohonen/test1.svg" alt="Sample execution
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output" style="pointer-events: none;" class="inline"/> </p>
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<div class="fragment"><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  {</div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keywordtype">int</span> j, N = 500;</div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordtype">int</span> features = 2;</div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordtype">int</span> num_out = 50;</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>> X(N);</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>> W(num_out);</div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(num_out, N); i++) {</div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="comment">// loop till max(N, num_out)</span></div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">if</span> (i < N) <span class="comment">// only add new arrays if i < N</span></div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  X[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(features);</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keywordflow">if</span> (i < num_out) { <span class="comment">// only add new arrays if i < num_out</span></div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  W[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(features);</div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  </div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keywordflow">for</span> (j = 0; j < features; j++)</div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="comment">// preallocate with random initial weights</span></div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  W[i][j] = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(-1, 1);</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  }</div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  }</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  </div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="../../d9/d49/kohonen__som__trace_8cpp.html#ab47fb569e63648bd76e7edfdacc02dbd">test_circle</a>(&X); <span class="comment">// create test data around circumference of a circle</span></div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a>(<span class="stringliteral">"test1.csv"</span>, X); <span class="comment">// save test data points</span></div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a>(<span class="stringliteral">"w11.csv"</span>, W); <span class="comment">// save initial random weights</span></div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#acc6a28f40512dbda75ab1a3969248898">kohonen_som_tracer</a>(X, &W, 0.1); <span class="comment">// train the SOM</span></div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a>(<span class="stringliteral">"w12.csv"</span>, W); <span class="comment">// save the resultant weights</span></div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> }</div>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d9/d49/kohonen__som__trace_8cpp_a1440a7779ac56f47a3f355ce4a8c7da0_cgraph.svg" width="100%" height="597"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0283886819c7c140a023582b7269e2d0">◆ </a></span>test2()</h2>
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<td class="memname">void test2 </td>
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<td>(</td>
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<p>Test that creates a random set of points distributed <em>near</em> the locus of the <a href="https://en.wikipedia.org/wiki/Lemniscate_of_Gerono">Lamniscate of Gerono</a> and trains an SOM that finds that circular pattern. The following <a href="https://en.wikipedia.org/wiki/Comma-separated_values">CSV</a> files are created to validate the execution:</p><ul>
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<li><code>test2.csv</code>: random test samples points with a lamniscate pattern</li>
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<li><code>w21.csv</code>: initial random map</li>
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<li><code>w22.csv</code>: trained SOM map</li>
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</ul>
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<p>The outputs can be readily plotted in <a href="https:://gnuplot.info">gnuplot</a> using the following snippet </p><div class="fragment"><div class="line">set datafile separator ','</div>
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<div class="line">plot "test2.csv" title "original", \</div>
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<div class="line"> "w21.csv" title "w1", \</div>
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<div class="line"> "w22.csv" title "w2"</div>
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</div><!-- fragment --><p><img src="https://raw.githubusercontent.com/TheAlgorithms/C-Plus-Plus/docs/images/machine_learning/kohonen/test2.svg" alt="Sample execution
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output" style="pointer-events: none;" class="inline"/> </p>
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<div class="fragment"><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  {</div>
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<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="keywordtype">int</span> j, N = 500;</div>
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<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keywordtype">int</span> features = 2;</div>
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<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keywordtype">int</span> num_out = 20;</div>
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<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>> X(N);</div>
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<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>> W(num_out);</div>
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<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(num_out, N); i++) {</div>
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<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="comment">// loop till max(N, num_out)</span></div>
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<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="keywordflow">if</span> (i < N) <span class="comment">// only add new arrays if i < N</span></div>
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<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  X[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(features);</div>
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<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keywordflow">if</span> (i < num_out) { <span class="comment">// only add new arrays if i < num_out</span></div>
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<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  W[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(features);</div>
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<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  </div>
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<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00320"></a><span class="lineno"> 320</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">for</span> (j = 0; j < features; j++)</div>
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<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="comment">// preallocate with random initial weights</span></div>
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<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  W[i][j] = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(-1, 1);</div>
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<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  }</div>
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<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  }</div>
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<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  </div>
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<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <a class="code" href="../../d9/d49/kohonen__som__trace_8cpp.html#a412b7afa156306b1f8788643c91a1c60">test_lamniscate</a>(&X); <span class="comment">// create test data around the lamniscate</span></div>
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<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a>(<span class="stringliteral">"test2.csv"</span>, X); <span class="comment">// save test data points</span></div>
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<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a>(<span class="stringliteral">"w21.csv"</span>, W); <span class="comment">// save initial random weights</span></div>
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<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#acc6a28f40512dbda75ab1a3969248898">kohonen_som_tracer</a>(X, &W, 0.01); <span class="comment">// train the SOM</span></div>
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<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a>(<span class="stringliteral">"w22.csv"</span>, W); <span class="comment">// save the resultant weights</span></div>
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<div class="line"><a name="l00332"></a><span class="lineno"> 332</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a6d0455dd5c30adda100e95f0423c786e">◆ </a></span>test3()</h2>
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<td class="memname">void test3 </td>
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<p>Test that creates a random set of points distributed in six clusters in 3D space. The following <a href="https://en.wikipedia.org/wiki/Comma-separated_values">CSV</a> files are created to validate the execution:</p><ul>
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<li><code>test3.csv</code>: random test samples points with a circular pattern</li>
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<li><code>w31.csv</code>: initial random map</li>
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<li><code>w32.csv</code>: trained SOM map</li>
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</ul>
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<p>The outputs can be readily plotted in <a href="https:://gnuplot.info">gnuplot</a> using the following snippet </p><div class="fragment"><div class="line">set datafile separator ','</div>
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<div class="line">plot "test3.csv" title "original", \</div>
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<div class="line"> "w31.csv" title "w1", \</div>
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<div class="line"> "w32.csv" title "w2"</div>
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</div><!-- fragment --><p><img src="https://raw.githubusercontent.com/TheAlgorithms/C-Plus-Plus/docs/images/machine_learning/kohonen/test3.svg" alt="Sample execution
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output" style="pointer-events: none;" class="inline"/> </p>
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<div class="fragment"><div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  {</div>
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<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <span class="keywordtype">int</span> j, N = 200;</div>
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<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  <span class="keywordtype">int</span> features = 3;</div>
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<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="keywordtype">int</span> num_out = 20;</div>
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<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>> X(N);</div>
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<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>> W(num_out);</div>
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<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(num_out, N); i++) {</div>
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<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <span class="comment">// loop till max(N, num_out)</span></div>
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<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="keywordflow">if</span> (i < N) <span class="comment">// only add new arrays if i < N</span></div>
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<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  X[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(features);</div>
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<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keywordflow">if</span> (i < num_out) { <span class="comment">// only add new arrays if i < num_out</span></div>
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<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  W[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(features);</div>
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<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  </div>
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<div class="line"><a name="l00415"></a><span class="lineno"> 415</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00416"></a><span class="lineno"> 416</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00417"></a><span class="lineno"> 417</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  <span class="keywordflow">for</span> (j = 0; j < features; j++)</div>
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<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="comment">// preallocate with random initial weights</span></div>
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<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  W[i][j] = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(-1, 1);</div>
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<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  }</div>
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<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  }</div>
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<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  </div>
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<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <a class="code" href="../../d9/d49/kohonen__som__trace_8cpp.html#a9ab8c79ffb674a63f151f282faeb723b">test_3d_classes</a>(&X); <span class="comment">// create test data around the lamniscate</span></div>
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<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a>(<span class="stringliteral">"test3.csv"</span>, X); <span class="comment">// save test data points</span></div>
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<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a>(<span class="stringliteral">"w31.csv"</span>, W); <span class="comment">// save initial random weights</span></div>
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<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#acc6a28f40512dbda75ab1a3969248898">kohonen_som_tracer</a>(X, &W, 0.01); <span class="comment">// train the SOM</span></div>
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<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a>(<span class="stringliteral">"w32.csv"</span>, W); <span class="comment">// save the resultant weights</span></div>
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<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> }</div>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d9/d49/kohonen__som__trace_8cpp_a6d0455dd5c30adda100e95f0423c786e_cgraph.svg" width="100%" height="600"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a9ab8c79ffb674a63f151f282faeb723b">◆ </a></span>test_3d_classes()</h2>
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<td class="memname">void test_3d_classes </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> * </td>
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<td class="paramname"><em>data</em></td><td>)</td>
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<td></td>
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<p>Creates a random set of points distributed in six clusters in 3D space with centroids at the points</p><ul>
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<li>\({0.5, 0.5, 0.5}\)</li>
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<li>\({0.5, 0.5, -0.5}\)</li>
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<li>\({0.5, -0.5, 0.5}\)</li>
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<li>\({0.5, -0.5, -0.5}\)</li>
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<li>\({-0.5, 0.5, 0.5}\)</li>
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<li>\({-0.5, 0.5, -0.5}\)</li>
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<li>\({-0.5, -0.5, 0.5}\)</li>
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<li>\({-0.5, -0.5, -0.5}\)</li>
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</ul>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[out]</td><td class="paramname">data</td><td>matrix to store data in </td></tr>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  {</div>
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<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> N = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>->size();</div>
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<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = 0.1; <span class="comment">// radius of cluster</span></div>
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<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keywordtype">int</span> i;</div>
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<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_classes = 8;</div>
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<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> centres[][3] = {</div>
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<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="comment">// centres of each class cluster</span></div>
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<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  {.5, .5, .5}, <span class="comment">// centre of class 0</span></div>
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<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  {.5, .5, -.5}, <span class="comment">// centre of class 1</span></div>
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<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  {.5, -.5, .5}, <span class="comment">// centre of class 2</span></div>
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<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  {.5, -.5, -.5}, <span class="comment">// centre of class 3</span></div>
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<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  {-.5, .5, .5}, <span class="comment">// centre of class 4</span></div>
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<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  {-.5, .5, -.5}, <span class="comment">// centre of class 5</span></div>
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<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  {-.5, -.5, .5}, <span class="comment">// centre of class 6</span></div>
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<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  {-.5, -.5, -.5} <span class="comment">// centre of class 7</span></div>
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<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  };</div>
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<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  </div>
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<div class="line"><a name="l00364"></a><span class="lineno"> 364</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordflow">for</span> (i = 0; i < N; i++) {</div>
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<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <span class="keywordtype">int</span> cls =</div>
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<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % num_classes; <span class="comment">// select a random class for the point</span></div>
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<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  </div>
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<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <span class="comment">// create random coordinates (x,y,z) around the centre of the class</span></div>
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<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <a class="code" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>[0][i][0] = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(centres[cls][0] - R, centres[cls][0] + R);</div>
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<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <a class="code" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>[0][i][1] = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(centres[cls][1] - R, centres[cls][1] + R);</div>
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<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <a class="code" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>[0][i][2] = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(centres[cls][2] - R, centres[cls][2] + R);</div>
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<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  </div>
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<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="comment">/* The follosing can also be used</span></div>
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<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> <span class="comment"> for (int j = 0; j < 3; j++)</span></div>
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<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> <span class="comment"> data[0][i][j] = _random(centres[cls][j] - R, centres[cls][j] + R);</span></div>
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<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> <span class="comment"> */</span></div>
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<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  }</div>
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<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ab47fb569e63648bd76e7edfdacc02dbd">◆ </a></span>test_circle()</h2>
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<td class="memname">void test_circle </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> * </td>
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<td class="paramname"><em>data</em></td><td>)</td>
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</div><div class="memdoc">
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<p>Creates a random set of points distributed <em>near</em> the circumference of a circle and trains an SOM that finds that circular pattern. The generating function is </p><p class="formulaDsp">
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\begin{eqnarray*} r &\in& [1-\delta r, 1+\delta r)\\ \theta &\in& [0, 2\pi)\\ x &=& r\cos\theta\\ y &=& r\sin\theta \end{eqnarray*}
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</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[out]</td><td class="paramname">data</td><td>matrix to store data in </td></tr>
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</dd>
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<div class="fragment"><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  {</div>
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<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> N = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>->size();</div>
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<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = 0.75, dr = 0.3;</div>
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<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordtype">double</span> a_t = 0., b_t = 2.f * M_PI; <span class="comment">// theta random between 0 and 2*pi</span></div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordtype">double</span> a_r = R - dr, b_r = R + dr; <span class="comment">// radius random between R-dr and R+dr</span></div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordtype">int</span> i;</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  </div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">for</span> (i = 0; i < N; i++) {</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordtype">double</span> r = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(a_r, b_r); <span class="comment">// random radius</span></div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordtype">double</span> theta = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(a_t, b_t); <span class="comment">// random theta</span></div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <a class="code" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>[0][i][0] = r * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(theta); <span class="comment">// convert from polar to cartesian</span></div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <a class="code" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>[0][i][1] = r * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sin.html">sin</a>(theta);</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  }</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a412b7afa156306b1f8788643c91a1c60">◆ </a></span>test_lamniscate()</h2>
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<td class="memname">void test_lamniscate </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> * </td>
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<td class="paramname"><em>data</em></td><td>)</td>
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<td></td>
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<p>Creates a random set of points distributed <em>near</em> the locus of the <a href="https://en.wikipedia.org/wiki/Lemniscate_of_Gerono">Lamniscate of Gerono</a>. </p><p class="formulaDsp">
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\begin{eqnarray*} \delta r &=& 0.2\\ \delta x &\in& [-\delta r, \delta r)\\ \delta y &\in& [-\delta r, \delta r)\\ \theta &\in& [0, \pi)\\ x &=& \delta x + \cos\theta\\ y &=& \delta y + \frac{\sin(2\theta)}{2} \end{eqnarray*}
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</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[out]</td><td class="paramname">data</td><td>matrix to store data in </td></tr>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  {</div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> N = <a class="code" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>->size();</div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> dr = 0.2;</div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="keywordtype">int</span> i;</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  </div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordflow">for</span> (i = 0; i < N; i++) {</div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keywordtype">double</span> dx = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(-dr, dr); <span class="comment">// random change in x</span></div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keywordtype">double</span> dy = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(-dr, dr); <span class="comment">// random change in y</span></div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keywordtype">double</span> theta = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(0, M_PI); <span class="comment">// random theta</span></div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <a class="code" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>[0][i][0] = dx + <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(theta); <span class="comment">// convert from polar to cartesian</span></div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <a class="code" href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a>[0][i][1] = dy + <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sin.html">sin</a>(2. * theta) / 2.f;</div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  }</div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> }</div>
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</div><!-- fragment --><div class="dynheader">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/d49/kohonen__som__trace_8cpp_a412b7afa156306b1f8788643c91a1c60_cgraph.svg" width="246" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<div class="ttc" id="asrand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a></div><div class="ttdeci">T srand(T... args)</div></div>
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<div class="ttc" id="aclock_t_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a></div></div>
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<div class="ttc" id="acos_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a></div><div class="ttdeci">T cos(T... args)</div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="akohonen__som__trace_8cpp_html_a9ab8c79ffb674a63f151f282faeb723b"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a9ab8c79ffb674a63f151f282faeb723b">test_3d_classes</a></div><div class="ttdeci">void test_3d_classes(std::vector< std::valarray< double >> *data)</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:347</div></div>
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<div class="ttc" id="agroup__machine__learning_html_ga72699c805c19a6cc47a937a6f3378afa"><div class="ttname"><a href="../../d9/d66/group__machine__learning.html#ga72699c805c19a6cc47a937a6f3378afa">save_nd_data</a></div><div class="ttdeci">int save_nd_data(const char *fname, const std::vector< std::valarray< double >> &X)</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:57</div></div>
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<div class="ttc" id="akohonen__som__trace_8cpp_html_a2256c10b16edba377b64a44b6c656908"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a2256c10b16edba377b64a44b6c656908">get_clock_diff</a></div><div class="ttdeci">double get_clock_diff(clock_t start_t, clock_t end_t)</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:438</div></div>
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<div class="ttc" id="akohonen__som__trace_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:225</div></div>
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<div class="ttc" id="aclock_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a></div><div class="ttdeci">T clock(T... args)</div></div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<div class="ttc" id="avalarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="akohonen__som__trace_8cpp_html_a0283886819c7c140a023582b7269e2d0"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a></div><div class="ttdeci">void test2()</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:305</div></div>
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<div class="ttc" id="arand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a></div><div class="ttdeci">T rand(T... args)</div></div>
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<div class="ttc" id="akohonen__som__trace_8cpp_html_a412b7afa156306b1f8788643c91a1c60"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a412b7afa156306b1f8788643c91a1c60">test_lamniscate</a></div><div class="ttdeci">void test_lamniscate(std::vector< std::valarray< double >> *data)</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:267</div></div>
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<div class="ttc" id="asin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sin.html">std::sin</a></div><div class="ttdeci">T sin(T... args)</div></div>
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<div class="ttc" id="ahash__search_8cpp_html_a6e1a77282bc65ad359d753d25df23243"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a></div><div class="ttdeci">int data[MAX]</div><div class="ttdoc">test data</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:24</div></div>
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<div class="ttc" id="akohonen__som__trace_8cpp_html_a6d0455dd5c30adda100e95f0423c786e"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a></div><div class="ttdeci">void test3()</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:402</div></div>
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<div class="ttc" id="atime_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a></div><div class="ttdeci">T time(T... args)</div></div>
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<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
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<div class="ttc" id="agroup__machine__learning_html_gaf5ce14f026d6d231bef29161bac2b485"><div class="ttname"><a href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a></div><div class="ttdeci">double _random(double a, double b)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:48</div></div>
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<div class="ttc" id="anamespacemachine__learning_html_acc6a28f40512dbda75ab1a3969248898"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#acc6a28f40512dbda75ab1a3969248898">machine_learning::kohonen_som_tracer</a></div><div class="ttdeci">void kohonen_som_tracer(const std::vector< std::valarray< double >> &X, std::vector< std::valarray< double >> *W, double alpha_min)</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:145</div></div>
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<div class="ttc" id="akohonen__som__trace_8cpp_html_ab47fb569e63648bd76e7edfdacc02dbd"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#ab47fb569e63648bd76e7edfdacc02dbd">test_circle</a></div><div class="ttdeci">void test_circle(std::vector< std::valarray< double >> *data)</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:188</div></div>
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