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<div class="title">kohonen_som_topology.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> (topological map)
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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_topology.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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#define </td><td class="memItemRight" valign="bottom"><b>_USE_MATH_DEFINES</b></td></tr>
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<tr class="memitem:a549d41dcf9444ed7d6df1da3c73e7d16"><td class="memItemLeft" align="right" valign="top"><a id="a549d41dcf9444ed7d6df1da3c73e7d16"></a>
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#define </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/def/kohonen__som__topology_8cpp.html#a549d41dcf9444ed7d6df1da3c73e7d16">MIN_DISTANCE</a>   1e-4</td></tr>
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<tr class="memdesc:a549d41dcf9444ed7d6df1da3c73e7d16"><td class="mdescLeft"> </td><td class="mdescRight">Minimum average distance of image nodes. <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:ga6c606bc85a3e9fd9d010f874ad760336"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d66/group__machine__learning.html#ga6c606bc85a3e9fd9d010f874ad760336">save_2d_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="memitem:gab53c14440b2b2dd3172c66afc5c2f63f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d66/group__machine__learning.html#gab53c14440b2b2dd3172c66afc5c2f63f">get_min_2d</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, double *val, int *x_idx, int *y_idx)</td></tr>
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<tr class="separator:gab53c14440b2b2dd3172c66afc5c2f63f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1d577f5d95b774ae97eb6838852d0df5"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a1d577f5d95b774ae97eb6838852d0df5">machine_learning::save_u_matrix</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/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)</td></tr>
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<tr class="memitem:ac4010fe3a52a74e8b5b1aaadfe38b46f"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#ac4010fe3a52a74e8b5b1aaadfe38b46f">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/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/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 >> *D, double alpha, int R)</td></tr>
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<tr class="separator:ac4010fe3a52a74e8b5b1aaadfe38b46f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:adc731720947b4bc2ab047c141e7d0299"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#adc731720947b4bc2ab047c141e7d0299">machine_learning::kohonen_som</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/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="memitem:a6b5e744876fd980a3451cbb385d4e755"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/def/kohonen__som__topology_8cpp.html#a6b5e744876fd980a3451cbb385d4e755">test_2d_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="memitem:a1440a7779ac56f47a3f355ce4a8c7da0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/def/kohonen__som__topology_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a> ()</td></tr>
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<tr class="memitem:ab3081e021270ba21a9fd88646f6a6e26"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/def/kohonen__som__topology_8cpp.html#ab3081e021270ba21a9fd88646f6a6e26">test_3d_classes1</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="memitem:a0283886819c7c140a023582b7269e2d0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/def/kohonen__som__topology_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a> ()</td></tr>
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<tr class="memitem:a0e7435446ed7c763f7de79a468add2e0"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/def/kohonen__som__topology_8cpp.html#a0e7435446ed7c763f7de79a468add2e0">test_3d_classes2</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="memitem:a6d0455dd5c30adda100e95f0423c786e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/def/kohonen__som__topology_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="../../d4/def/kohonen__som__topology_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="../../d4/def/kohonen__som__topology_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</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> (topological map) </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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<p>This example implements a powerful unsupervised learning algorithm called as a self organizing map. The algorithm creates a connected network of weights that closely follows the given data points. This thus creates a topological map of the given data i.e., it maintains the relationship between varipus data points in a much higher dimesional space by creating an equivalent in a 2-dimensional space. <img src="https://raw.githubusercontent.com/TheAlgorithms/C-Plus-Plus/docs/images/machine_learning/2D_Kohonen_SOM.svg" alt="Trained topological maps for the test cases in the program" style="pointer-events: none;" class="inline"/> </p><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="../../d9/d49/kohonen__som__trace_8cpp.html" title="Kohonen self organizing map (data tracing)">kohonen_som_trace.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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<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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<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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<td></td>
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<td>)</td>
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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="l00561"></a><span class="lineno"> 561</span>  {</div>
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<div class="line"><a name="l00562"></a><span class="lineno"> 562</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="l00563"></a><span class="lineno"> 563</span> }</div>
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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="paramtype">char ** </td>
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<td class="paramname"><em>argv</em> </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="l00566"></a><span class="lineno"> 566</span>  {</div>
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<div class="line"><a name="l00567"></a><span class="lineno"> 567</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00568"></a><span class="lineno"> 568</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="l00569"></a><span class="lineno"> 569</span> <span class="preprocessor">#else</span></div>
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<div class="line"><a name="l00570"></a><span class="lineno"> 570</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="l00571"></a><span class="lineno"> 571</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  </div>
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<div class="line"><a name="l00573"></a><span class="lineno"> 573</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="l00574"></a><span class="lineno"> 574</span>  </div>
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<div class="line"><a name="l00575"></a><span class="lineno"> 575</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="l00576"></a><span class="lineno"> 576</span>  <a class="code" href="../../d4/def/kohonen__som__topology_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a>();</div>
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<div class="line"><a name="l00577"></a><span class="lineno"> 577</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="l00578"></a><span class="lineno"> 578</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="../../d4/def/kohonen__som__topology_8cpp.html#a2256c10b16edba377b64a44b6c656908">get_clock_diff</a>(start_clk, end_clk)</div>
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<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  << <span class="stringliteral">" sec\n"</span>;</div>
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<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  </div>
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<div class="line"><a name="l00581"></a><span class="lineno"> 581</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="l00582"></a><span class="lineno"> 582</span>  <a class="code" href="../../d4/def/kohonen__som__topology_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a>();</div>
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<div class="line"><a name="l00583"></a><span class="lineno"> 583</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="l00584"></a><span class="lineno"> 584</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="../../d4/def/kohonen__som__topology_8cpp.html#a2256c10b16edba377b64a44b6c656908">get_clock_diff</a>(start_clk, end_clk)</div>
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<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  << <span class="stringliteral">" sec\n"</span>;</div>
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<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  </div>
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<div class="line"><a name="l00587"></a><span class="lineno"> 587</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="l00588"></a><span class="lineno"> 588</span>  <a class="code" href="../../d4/def/kohonen__som__topology_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a>();</div>
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<div class="line"><a name="l00589"></a><span class="lineno"> 589</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="l00590"></a><span class="lineno"> 590</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="../../d4/def/kohonen__som__topology_8cpp.html#a2256c10b16edba377b64a44b6c656908">get_clock_diff</a>(start_clk, end_clk)</div>
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<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  << <span class="stringliteral">" sec\n"</span>;</div>
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<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  </div>
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<div class="line"><a name="l00593"></a><span class="lineno"> 593</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="l00594"></a><span class="lineno"> 594</span>  << <span class="stringliteral">"(Note: Calculated times include: creating test sets, training "</span></div>
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<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  <span class="stringliteral">"model and writing files to disk.)\n\n"</span>;</div>
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<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00597"></a><span class="lineno"> 597</span> }</div>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d4/def/kohonen__som__topology_8cpp_a3c04138a5bfe5d72780bb7e82a18e627_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="#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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<td class="paramname"></td><td>)</td>
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<p>Test that creates a random set of points distributed in four clusters in 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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<div class="fragment"><div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  {</div>
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<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <span class="keywordtype">int</span> j, N = 300;</div>
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<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <span class="keywordtype">int</span> features = 2;</div>
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<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keywordtype">int</span> num_out = 30;</div>
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<div class="line"><a name="l00363"></a><span class="lineno"> 363</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="l00364"></a><span class="lineno"> 364</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<std::valarray<double></a>>> W(num_out);</div>
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<div class="line"><a name="l00365"></a><span class="lineno"> 365</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="l00366"></a><span class="lineno"> 366</span>  <span class="comment">// loop till max(N, num_out)</span></div>
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<div class="line"><a name="l00367"></a><span class="lineno"> 367</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="l00368"></a><span class="lineno"> 368</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="l00369"></a><span class="lineno"> 369</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="l00370"></a><span class="lineno"> 370</span>  W[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>>(num_out);</div>
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<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a> = 0; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a> < num_out; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>++) {</div>
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<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  W[i][<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>] = <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="l00373"></a><span class="lineno"> 373</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00374"></a><span class="lineno"> 374</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="keywordflow">for</span> (j = 0; j < features; j++)</div>
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<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="comment">// preallocate with random initial weights</span></div>
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<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  W[i][<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>][j] = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(-10, 10);</div>
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<div class="line"><a name="l00379"></a><span class="lineno"> 379</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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<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  </div>
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<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <a class="code" href="../../d4/def/kohonen__som__topology_8cpp.html#a6b5e744876fd980a3451cbb385d4e755">test_2d_classes</a>(&X); <span class="comment">// create test data around circumference of a circle</span></div>
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<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga6c606bc85a3e9fd9d010f874ad760336">save_2d_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="l00385"></a><span class="lineno"> 385</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#a1d577f5d95b774ae97eb6838852d0df5">save_u_matrix</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="l00386"></a><span class="lineno"> 386</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#adc731720947b4bc2ab047c141e7d0299">kohonen_som</a>(X, &W, 1e-4); <span class="comment">// train the SOM</span></div>
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<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#a1d577f5d95b774ae97eb6838852d0df5">save_u_matrix</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="l00388"></a><span class="lineno"> 388</span> }</div>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d4/def/kohonen__som__topology_8cpp_a1440a7779ac56f47a3f355ce4a8c7da0_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="#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 in 4 clusters in 3D space and trains an SOM that finds the topological 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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<div class="fragment"><div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  {</div>
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<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keywordtype">int</span> j, N = 300;</div>
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<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <span class="keywordtype">int</span> features = 3;</div>
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<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  <span class="keywordtype">int</span> num_out = 30;</div>
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<div class="line"><a name="l00443"></a><span class="lineno"> 443</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="l00444"></a><span class="lineno"> 444</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<std::valarray<double></a>>> W(num_out);</div>
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<div class="line"><a name="l00445"></a><span class="lineno"> 445</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="l00446"></a><span class="lineno"> 446</span>  <span class="comment">// loop till max(N, num_out)</span></div>
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<div class="line"><a name="l00447"></a><span class="lineno"> 447</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="l00448"></a><span class="lineno"> 448</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="l00449"></a><span class="lineno"> 449</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="l00450"></a><span class="lineno"> 450</span>  W[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>>(num_out);</div>
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<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a> = 0; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a> < num_out; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>++) {</div>
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<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  W[i][<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>] = <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="l00453"></a><span class="lineno"> 453</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00454"></a><span class="lineno"> 454</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00455"></a><span class="lineno"> 455</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  <span class="keywordflow">for</span> (j = 0; j < features; j++)</div>
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<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  <span class="comment">// preallocate with random initial weights</span></div>
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<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  W[i][<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>][j] = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(-10, 10);</div>
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<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  }</div>
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<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  }</div>
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<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  }</div>
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<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  </div>
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<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <a class="code" href="../../d4/def/kohonen__som__topology_8cpp.html#ab3081e021270ba21a9fd88646f6a6e26">test_3d_classes1</a>(&X); <span class="comment">// create test data around circumference of a circle</span></div>
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<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga6c606bc85a3e9fd9d010f874ad760336">save_2d_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="l00465"></a><span class="lineno"> 465</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#a1d577f5d95b774ae97eb6838852d0df5">save_u_matrix</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="l00466"></a><span class="lineno"> 466</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#adc731720947b4bc2ab047c141e7d0299">kohonen_som</a>(X, &W, 1e-4); <span class="comment">// train the SOM</span></div>
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<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#a1d577f5d95b774ae97eb6838852d0df5">save_u_matrix</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="l00468"></a><span class="lineno"> 468</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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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<p>Test that creates a random set of points distributed in eight clusters in 3D space and trains an SOM that finds the topological 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>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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<div class="fragment"><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  {</div>
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<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  <span class="keywordtype">int</span> j, N = 500;</div>
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<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  <span class="keywordtype">int</span> features = 3;</div>
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<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  <span class="keywordtype">int</span> num_out = 30;</div>
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<div class="line"><a name="l00527"></a><span class="lineno"> 527</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="l00528"></a><span class="lineno"> 528</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<std::valarray<double></a>>> W(num_out);</div>
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<div class="line"><a name="l00529"></a><span class="lineno"> 529</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="l00530"></a><span class="lineno"> 530</span>  <span class="comment">// loop till max(N, num_out)</span></div>
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<div class="line"><a name="l00531"></a><span class="lineno"> 531</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="l00532"></a><span class="lineno"> 532</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="l00533"></a><span class="lineno"> 533</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="l00534"></a><span class="lineno"> 534</span>  W[i] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>>(num_out);</div>
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<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a> = 0; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a> < num_out; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>++) {</div>
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<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  W[i][<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>] = <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="l00537"></a><span class="lineno"> 537</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00538"></a><span class="lineno"> 538</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00539"></a><span class="lineno"> 539</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  <span class="keywordflow">for</span> (j = 0; j < features; j++)</div>
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<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <span class="comment">// preallocate with random initial weights</span></div>
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<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  W[i][<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a>][j] = <a class="code" href="../../d9/d66/group__machine__learning.html#gaf5ce14f026d6d231bef29161bac2b485">_random</a>(-10, 10);</div>
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<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  }</div>
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<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  }</div>
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<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  }</div>
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<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  </div>
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<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <a class="code" href="../../d4/def/kohonen__som__topology_8cpp.html#a0e7435446ed7c763f7de79a468add2e0">test_3d_classes2</a>(&X); <span class="comment">// create test data around circumference of a circle</span></div>
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<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#ga6c606bc85a3e9fd9d010f874ad760336">save_2d_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="l00549"></a><span class="lineno"> 549</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#a1d577f5d95b774ae97eb6838852d0df5">save_u_matrix</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="l00550"></a><span class="lineno"> 550</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#adc731720947b4bc2ab047c141e7d0299">kohonen_som</a>(X, &W, 1e-4); <span class="comment">// train the SOM</span></div>
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<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#a1d577f5d95b774ae97eb6838852d0df5">save_u_matrix</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="l00552"></a><span class="lineno"> 552</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a6b5e744876fd980a3451cbb385d4e755">◆ </a></span>test_2d_classes()</h2>
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<td class="memname">void test_2d_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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<p>Creates a random set of points distributed in four 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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</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="l00320"></a><span class="lineno"> 320</span>  {</div>
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<div class="line"><a name="l00321"></a><span class="lineno"> 321</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="l00322"></a><span class="lineno"> 322</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = 0.3; <span class="comment">// radius of cluster</span></div>
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<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keywordtype">int</span> i;</div>
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<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_classes = 4;</div>
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<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> centres[][2] = {</div>
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<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <span class="comment">// centres of each class cluster</span></div>
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<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  {.5, .5}, <span class="comment">// centre of class 1</span></div>
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<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  {.5, -.5}, <span class="comment">// centre of class 2</span></div>
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<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  {-.5, .5}, <span class="comment">// centre of class 3</span></div>
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<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  {-.5, -.5} <span class="comment">// centre of class 4</span></div>
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<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  };</div>
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<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  </div>
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<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00334"></a><span class="lineno"> 334</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">for</span> (i = 0; i < N; i++) {</div>
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<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="comment">// select a random class for the point</span></div>
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<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keywordtype">int</span> cls = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % num_classes;</div>
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<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  </div>
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<div class="line"><a name="l00340"></a><span class="lineno"> 340</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="l00341"></a><span class="lineno"> 341</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="l00342"></a><span class="lineno"> 342</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="l00343"></a><span class="lineno"> 343</span>  </div>
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<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="comment">/* The follosing can also be used</span></div>
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<div class="line"><a name="l00345"></a><span class="lineno"> 345</span> <span class="comment"> for (int j = 0; j < 2; j++)</span></div>
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<div class="line"><a name="l00346"></a><span class="lineno"> 346</span> <span class="comment"> data[i][j] = _random(centres[class][j] - R, centres[class][j] + R);</span></div>
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<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> <span class="comment"> */</span></div>
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<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  }</div>
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<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ab3081e021270ba21a9fd88646f6a6e26">◆ </a></span>test_3d_classes1()</h2>
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<td class="memname">void test_3d_classes1 </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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<p>Creates a random set of points distributed in four 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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</ul>
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<dl class="params"><dt>Parameters</dt><dd>
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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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<div class="fragment"><div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  {</div>
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<div class="line"><a name="l00400"></a><span class="lineno"> 400</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="l00401"></a><span class="lineno"> 401</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = 0.3; <span class="comment">// radius of cluster</span></div>
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<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keywordtype">int</span> i;</div>
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<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_classes = 4;</div>
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<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> centres[][3] = {</div>
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<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="comment">// centres of each class cluster</span></div>
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<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  {.5, .5, .5}, <span class="comment">// centre of class 1</span></div>
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<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  {.5, -.5, -.5}, <span class="comment">// centre of class 2</span></div>
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<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  {-.5, .5, .5}, <span class="comment">// centre of class 3</span></div>
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<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  {-.5, -.5 - .5} <span class="comment">// centre of class 4</span></div>
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<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  };</div>
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<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  </div>
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<div class="line"><a name="l00412"></a><span class="lineno"> 412</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00413"></a><span class="lineno"> 413</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00414"></a><span class="lineno"> 414</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  <span class="keywordflow">for</span> (i = 0; i < N; i++) {</div>
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<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <span class="comment">// select a random class for the point</span></div>
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<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keywordtype">int</span> cls = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % num_classes;</div>
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<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  </div>
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<div class="line"><a name="l00419"></a><span class="lineno"> 419</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="l00420"></a><span class="lineno"> 420</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="l00421"></a><span class="lineno"> 421</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="l00422"></a><span class="lineno"> 422</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="l00423"></a><span class="lineno"> 423</span>  </div>
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<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  <span class="comment">/* The follosing can also be used</span></div>
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<div class="line"><a name="l00425"></a><span class="lineno"> 425</span> <span class="comment"> for (int j = 0; j < 3; j++)</span></div>
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<div class="line"><a name="l00426"></a><span class="lineno"> 426</span> <span class="comment"> data[i][j] = _random(centres[class][j] - R, centres[class][j] + R);</span></div>
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<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> <span class="comment"> */</span></div>
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<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  }</div>
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<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0e7435446ed7c763f7de79a468add2e0">◆ </a></span>test_3d_classes2()</h2>
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<td class="memname">void test_3d_classes2 </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 four 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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</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="l00479"></a><span class="lineno"> 479</span>  {</div>
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<div class="line"><a name="l00480"></a><span class="lineno"> 480</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="l00481"></a><span class="lineno"> 481</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = 0.2; <span class="comment">// radius of cluster</span></div>
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<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <span class="keywordtype">int</span> i;</div>
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<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_classes = 8;</div>
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<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> centres[][3] = {</div>
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<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <span class="comment">// centres of each class cluster</span></div>
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<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  {.5, .5, .5}, <span class="comment">// centre of class 1</span></div>
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<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  {.5, .5, -.5}, <span class="comment">// centre of class 2</span></div>
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<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  {.5, -.5, .5}, <span class="comment">// centre of class 3</span></div>
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<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  {.5, -.5, -.5}, <span class="comment">// centre of class 4</span></div>
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<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  {-.5, .5, .5}, <span class="comment">// centre of class 5</span></div>
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<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  {-.5, .5, -.5}, <span class="comment">// centre of class 6</span></div>
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<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  {-.5, -.5, .5}, <span class="comment">// centre of class 7</span></div>
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<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  {-.5, -.5, -.5} <span class="comment">// centre of class 8</span></div>
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<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  };</div>
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<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  </div>
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<div class="line"><a name="l00496"></a><span class="lineno"> 496</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00497"></a><span class="lineno"> 497</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00498"></a><span class="lineno"> 498</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  <span class="keywordflow">for</span> (i = 0; i < N; i++) {</div>
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<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <span class="comment">// select a random class for the point</span></div>
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<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <span class="keywordtype">int</span> cls = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % num_classes;</div>
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<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  </div>
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<div class="line"><a name="l00503"></a><span class="lineno"> 503</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="l00504"></a><span class="lineno"> 504</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="l00505"></a><span class="lineno"> 505</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="l00506"></a><span class="lineno"> 506</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="l00507"></a><span class="lineno"> 507</span>  </div>
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<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="comment">/* The follosing can also be used</span></div>
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<div class="line"><a name="l00509"></a><span class="lineno"> 509</span> <span class="comment"> for (int j = 0; j < 3; j++)</span></div>
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<div class="line"><a name="l00510"></a><span class="lineno"> 510</span> <span class="comment"> data[i][j] = _random(centres[class][j] - R, centres[class][j] + R);</span></div>
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<div class="line"><a name="l00511"></a><span class="lineno"> 511</span> <span class="comment"> */</span></div>
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<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  }</div>
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<div class="line"><a name="l00513"></a><span class="lineno"> 513</span> }</div>
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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="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__topology_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="../../d4/def/kohonen__som__topology_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:359</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="akohonen__som__topology_8cpp_html_a6d0455dd5c30adda100e95f0423c786e"><div class="ttname"><a href="../../d4/def/kohonen__som__topology_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">test3</a></div><div class="ttdeci">void test3()</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:523</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="amatrix__exponentiation_8cpp_html_afcf0d19607cd0edd8ae333d2b9c220c0"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#afcf0d19607cd0edd8ae333d2b9c220c0">k</a></div><div class="ttdeci">ll k</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:48</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__topology_8cpp_html_ab3081e021270ba21a9fd88646f6a6e26"><div class="ttname"><a href="../../d4/def/kohonen__som__topology_8cpp.html#ab3081e021270ba21a9fd88646f6a6e26">test_3d_classes1</a></div><div class="ttdeci">void test_3d_classes1(std::vector< std::valarray< double >> *data)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:399</div></div>
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<div class="ttc" id="akohonen__som__topology_8cpp_html_a0283886819c7c140a023582b7269e2d0"><div class="ttname"><a href="../../d4/def/kohonen__som__topology_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a></div><div class="ttdeci">void test2()</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:439</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="agroup__machine__learning_html_ga6c606bc85a3e9fd9d010f874ad760336"><div class="ttname"><a href="../../d9/d66/group__machine__learning.html#ga6c606bc85a3e9fd9d010f874ad760336">save_2d_data</a></div><div class="ttdeci">int save_2d_data(const char *fname, const std::vector< std::valarray< double >> &X)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:62</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="anamespacemachine__learning_html_a1d577f5d95b774ae97eb6838852d0df5"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a1d577f5d95b774ae97eb6838852d0df5">machine_learning::save_u_matrix</a></div><div class="ttdeci">int save_u_matrix(const char *fname, const std::vector< std::vector< std::valarray< double >>> &W)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:135</div></div>
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<div class="ttc" id="akohonen__som__topology_8cpp_html_a2256c10b16edba377b64a44b6c656908"><div class="ttname"><a href="../../d4/def/kohonen__som__topology_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_topology.cpp:561</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="akohonen__som__topology_8cpp_html_a6b5e744876fd980a3451cbb385d4e755"><div class="ttname"><a href="../../d4/def/kohonen__som__topology_8cpp.html#a6b5e744876fd980a3451cbb385d4e755">test_2d_classes</a></div><div class="ttdeci">void test_2d_classes(std::vector< std::valarray< double >> *data)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:320</div></div>
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<div class="ttc" id="anamespacemachine__learning_html_adc731720947b4bc2ab047c141e7d0299"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#adc731720947b4bc2ab047c141e7d0299">machine_learning::kohonen_som</a></div><div class="ttdeci">void kohonen_som(const std::vector< std::valarray< double >> &X, std::vector< std::vector< std::valarray< double >>> *W, double alpha_min)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:261</div></div>
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<div class="ttc" id="akohonen__som__topology_8cpp_html_a0e7435446ed7c763f7de79a468add2e0"><div class="ttname"><a href="../../d4/def/kohonen__som__topology_8cpp.html#a0e7435446ed7c763f7de79a468add2e0">test_3d_classes2</a></div><div class="ttdeci">void test_3d_classes2(std::vector< std::valarray< double >> *data)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:479</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:50</div></div>
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