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<div class="headertitle"><div class="title">Machine Learning Algorithms </div></div>
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Files</h2></td></tr>
<tr class="memitem:adaline_5Flearning_2Ecpp" id="r_adaline_5Flearning_2Ecpp"><td class="memItemLeft" align="right" valign="top">file &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/db0/adaline__learning_8cpp.html">adaline_learning.cpp</a></td></tr>
<tr class="memdesc:d5/db0/adaline__learning_8cpp"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a href="https://en.wikipedia.org/wiki/ADALINE" target="_blank">Adaptive Linear Neuron (ADALINE)</a> implementation <br /></td></tr>
<tr class="memitem:kohonen_5Fsom_5Ftopology_2Ecpp" id="r_kohonen_5Fsom_5Ftopology_2Ecpp"><td class="memItemLeft" align="right" valign="top">file &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/def/kohonen__som__topology_8cpp.html">kohonen_som_topology.cpp</a></td></tr>
<tr class="memdesc:d4/def/kohonen__som__topology_8cpp"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a href="https://en.wikipedia.org/wiki/Self-organizing_map" target="_blank">Kohonen self organizing map</a> (topological map) <br /></td></tr>
<tr class="memitem:kohonen_5Fsom_5Ftrace_2Ecpp" id="r_kohonen_5Fsom_5Ftrace_2Ecpp"><td class="memItemLeft" align="right" valign="top">file &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d49/kohonen__som__trace_8cpp.html">kohonen_som_trace.cpp</a></td></tr>
<tr class="memdesc:d9/d49/kohonen__som__trace_8cpp"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a href="https://en.wikipedia.org/wiki/Self-organizing_map" target="_blank">Kohonen self organizing map</a> (data tracing) <br /></td></tr>
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<tr class="memitem:machine_5Flearning" id="r_machine_5Flearning"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html">machine_learning</a></td></tr>
<tr class="memdesc:d8/d77/namespacemachine__learning"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a href="https://en.wikipedia.org/wiki/A*_search_algorithm" target="_blank">A* search algorithm</a> <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:gaf5ce14f026d6d231bef29161bac2b485" id="r_gaf5ce14f026d6d231bef29161bac2b485"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#gaf5ce14f026d6d231bef29161bac2b485">_random</a> (double a, double b)</td></tr>
<tr class="memitem:gabc90175770bf0d5853c466e14993a08c" id="r_gabc90175770bf0d5853c466e14993a08c"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#gabc90175770bf0d5853c466e14993a08c">save_2d_data</a> (const char *fname, const std::vector&lt; std::valarray&lt; double &gt; &gt; &amp;X)</td></tr>
<tr class="memitem:ga60f9186ccb682724a8792a2bf81e9b9e" id="r_ga60f9186ccb682724a8792a2bf81e9b9e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ga60f9186ccb682724a8792a2bf81e9b9e">get_min_2d</a> (const std::vector&lt; std::valarray&lt; double &gt; &gt; &amp;X, double *val, int *x_idx, int *y_idx)</td></tr>
<tr class="memitem:gae0208548f8b393528e5db01717e88e67" id="r_gae0208548f8b393528e5db01717e88e67"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#gae0208548f8b393528e5db01717e88e67">save_nd_data</a> (const char *fname, const std::vector&lt; std::valarray&lt; double &gt; &gt; &amp;X)</td></tr>
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Variables</h2></td></tr>
<tr class="memitem:ga5118e5cbc4f0886e27b3a7a2544dded1" id="r_ga5118e5cbc4f0886e27b3a7a2544dded1"><td class="memItemLeft" align="right" valign="top">constexpr int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ga5118e5cbc4f0886e27b3a7a2544dded1">MAX_ITER</a> = 500</td></tr>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ga525335710b53cb064ca56b936120431e">&#9670;&#160;</a></span>_USE_MATH_DEFINES <span class="overload">[1/2]</span></h2>
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<td class="memname">#define _USE_MATH_DEFINES</td>
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<p class="definition">Definition at line <a class="el" href="../../d4/def/kohonen__som__topology_8cpp_source.html#l00026">26</a> of file <a class="el" href="../../d4/def/kohonen__som__topology_8cpp_source.html">kohonen_som_topology.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ga525335710b53cb064ca56b936120431e">&#9670;&#160;</a></span>_USE_MATH_DEFINES <span class="overload">[2/2]</span></h2>
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<td class="memname">#define _USE_MATH_DEFINES</td>
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<p class="definition">Definition at line <a class="el" href="../../d9/d49/kohonen__som__trace_8cpp_source.html#l00021">21</a> of file <a class="el" href="../../d9/d49/kohonen__som__trace_8cpp_source.html">kohonen_som_trace.cpp</a>.</p>
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<a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
<a id="gaf5ce14f026d6d231bef29161bac2b485" name="gaf5ce14f026d6d231bef29161bac2b485"></a>
<h2 class="memtitle"><span class="permalink"><a href="#gaf5ce14f026d6d231bef29161bac2b485">&#9670;&#160;</a></span>_random()</h2>
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<td class="memname">double _random </td>
<td>(</td>
<td class="paramtype">double</td> <td class="paramname"><span class="paramname"><em>a</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double</td> <td class="paramname"><span class="paramname"><em>b</em></span>&#160;)</td>
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</table>
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<p>Helper function to generate a random number in a given interval. <br />
Steps:</p><ol type="1">
<li><span class="tt">r1 = rand() % 100</span> gets a random number between 0 and 99</li>
<li><span class="tt">r2 = r1 / 100</span> converts random number to be between 0 and 0.99</li>
<li>scale and offset the random number to given range of \([a,b]\)</li>
</ol>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>lower limit </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>upper limit </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>random number in the range \([a,b]\) </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d4/def/kohonen__som__topology_8cpp_source.html#l00053">53</a> of file <a class="el" href="../../d4/def/kohonen__som__topology_8cpp_source.html">kohonen_som_topology.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 53</span> {</div>
<div class="line"><span class="lineno"> 54</span> <span class="keywordflow">return</span> ((b - a) * (std::rand() % 100) / 100.f) + a;</div>
<div class="line"><span class="lineno"> 55</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ga60f9186ccb682724a8792a2bf81e9b9e">&#9670;&#160;</a></span>get_min_2d()</h2>
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<td class="memname">void get_min_2d </td>
<td>(</td>
<td class="paramtype">const std::vector&lt; std::valarray&lt; double &gt; &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>X</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double *</td> <td class="paramname"><span class="paramname"><em>val</em></span>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int *</td> <td class="paramname"><span class="paramname"><em>x_idx</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int *</td> <td class="paramname"><span class="paramname"><em>y_idx</em></span>&#160;)</td>
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<p>Get minimum value and index of the value in a matrix </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>matrix to search </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">N</td><td>number of points in the vector </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">val</td><td>minimum value found </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">idx_x</td><td>x-index where minimum value was found </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">idx_y</td><td>y-index where minimum value was found </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="../../d4/def/kohonen__som__topology_8cpp_source.html#l00105">105</a> of file <a class="el" href="../../d4/def/kohonen__som__topology_8cpp_source.html">kohonen_som_topology.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 106</span> {</div>
<div class="line"><span class="lineno"> 107</span> val[0] = INFINITY; <span class="comment">// initial min value</span></div>
<div class="line"><span class="lineno"> 108</span> <span class="keywordtype">size_t</span> N = X.size();</div>
<div class="line"><span class="lineno"> 109</span> </div>
<div class="line"><span class="lineno"> 110</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; N; i++) { <span class="comment">// traverse each x-index</span></div>
<div class="line"><span class="lineno"> 111</span> <span class="keyword">auto</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = std::min_element(std::begin(X[i]), std::end(X[i]));</div>
<div class="line"><span class="lineno"> 112</span> <span class="keywordtype">double</span> d_min = *<a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
<div class="line"><span class="lineno"> 113</span> std::ptrdiff_t j = std::distance(std::begin(X[i]), result);</div>
<div class="line"><span class="lineno"> 114</span> </div>
<div class="line"><span class="lineno"> 115</span> <span class="keywordflow">if</span> (d_min &lt; val[0]) { <span class="comment">// if a lower value is found</span></div>
<div class="line"><span class="lineno"> 116</span> <span class="comment">// save the value and its index</span></div>
<div class="line"><span class="lineno"> 117</span> x_idx[0] = i;</div>
<div class="line"><span class="lineno"> 118</span> y_idx[0] = j;</div>
<div class="line"><span class="lineno"> 119</span> val[0] = d_min;</div>
<div class="line"><span class="lineno"> 120</span> }</div>
<div class="line"><span class="lineno"> 121</span> }</div>
<div class="line"><span class="lineno"> 122</span>}</div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> <a href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00077">fibonacci_sum.cpp:77</a></div></div>
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<a id="gabc90175770bf0d5853c466e14993a08c" name="gabc90175770bf0d5853c466e14993a08c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#gabc90175770bf0d5853c466e14993a08c">&#9670;&#160;</a></span>save_2d_data()</h2>
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<td class="memname">int save_2d_data </td>
<td>(</td>
<td class="paramtype">const char *</td> <td class="paramname"><span class="paramname"><em>fname</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const std::vector&lt; std::valarray&lt; double &gt; &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>X</em></span>&#160;)</td>
</tr>
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</div><div class="memdoc">
<p>Save a given n-dimensional data martix to file.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">fname</td><td>filename to save in (gets overwriten without confirmation) </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>matrix to save </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if all ok </dd>
<dd>
-1 if file creation failed </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d4/def/kohonen__som__topology_8cpp_source.html#l00065">65</a> of file <a class="el" href="../../d4/def/kohonen__som__topology_8cpp_source.html">kohonen_som_topology.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 66</span> {</div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordtype">size_t</span> num_points = X.size(); <span class="comment">// number of rows</span></div>
<div class="line"><span class="lineno"> 68</span> <span class="keywordtype">size_t</span> num_features = X[0].size(); <span class="comment">// number of columns</span></div>
<div class="line"><span class="lineno"> 69</span> </div>
<div class="line"><span class="lineno"> 70</span> std::ofstream fp;</div>
<div class="line"><span class="lineno"> 71</span> fp.open(fname);</div>
<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">if</span> (!fp.is_open()) {</div>
<div class="line"><span class="lineno"> 73</span> <span class="comment">// error with opening file to write</span></div>
<div class="line"><span class="lineno"> 74</span> std::cerr &lt;&lt; <span class="stringliteral">&quot;Error opening file &quot;</span> &lt;&lt; fname &lt;&lt; <span class="stringliteral">&quot;: &quot;</span></div>
<div class="line"><span class="lineno"> 75</span> &lt;&lt; std::strerror(errno) &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><span class="lineno"> 77</span> }</div>
<div class="line"><span class="lineno"> 78</span> </div>
<div class="line"><span class="lineno"> 79</span> <span class="comment">// for each point in the array</span></div>
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_points; i++) {</div>
<div class="line"><span class="lineno"> 81</span> <span class="comment">// for each feature in the array</span></div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; num_features; j++) {</div>
<div class="line"><span class="lineno"> 83</span> fp &lt;&lt; X[i][j]; <span class="comment">// print the feature value</span></div>
<div class="line"><span class="lineno"> 84</span> <span class="keywordflow">if</span> (j &lt; num_features - 1) { <span class="comment">// if not the last feature</span></div>
<div class="line"><span class="lineno"> 85</span> fp &lt;&lt; <span class="stringliteral">&quot;,&quot;</span>; <span class="comment">// suffix comma</span></div>
<div class="line"><span class="lineno"> 86</span> }</div>
<div class="line"><span class="lineno"> 87</span> }</div>
<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">if</span> (i &lt; num_points - 1) { <span class="comment">// if not the last row</span></div>
<div class="line"><span class="lineno"> 89</span> fp &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>; <span class="comment">// start a new line</span></div>
<div class="line"><span class="lineno"> 90</span> }</div>
<div class="line"><span class="lineno"> 91</span> }</div>
<div class="line"><span class="lineno"> 92</span> </div>
<div class="line"><span class="lineno"> 93</span> fp.close();</div>
<div class="line"><span class="lineno"> 94</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 95</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#gae0208548f8b393528e5db01717e88e67">&#9670;&#160;</a></span>save_nd_data()</h2>
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<td class="memname">int save_nd_data </td>
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<td class="paramtype">const char *</td> <td class="paramname"><span class="paramname"><em>fname</em></span>, </td>
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<td class="paramtype">const std::vector&lt; std::valarray&lt; double &gt; &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>X</em></span>&#160;)</td>
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<p>Save a given n-dimensional data martix to file.</p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">fname</td><td>filename to save in (gets overwriten without confirmation) </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>matrix to save </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>0 if all ok </dd>
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-1 if file creation failed </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d9/d49/kohonen__som__trace_8cpp_source.html#l00058">58</a> of file <a class="el" href="../../d9/d49/kohonen__som__trace_8cpp_source.html">kohonen_som_trace.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 59</span> {</div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordtype">size_t</span> num_points = X.size(); <span class="comment">// number of rows</span></div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordtype">size_t</span> num_features = X[0].size(); <span class="comment">// number of columns</span></div>
<div class="line"><span class="lineno"> 62</span> </div>
<div class="line"><span class="lineno"> 63</span> std::ofstream fp;</div>
<div class="line"><span class="lineno"> 64</span> fp.open(fname);</div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">if</span> (!fp.is_open()) {</div>
<div class="line"><span class="lineno"> 66</span> <span class="comment">// error with opening file to write</span></div>
<div class="line"><span class="lineno"> 67</span> std::cerr &lt;&lt; <span class="stringliteral">&quot;Error opening file &quot;</span> &lt;&lt; fname &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 68</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><span class="lineno"> 69</span> }</div>
<div class="line"><span class="lineno"> 70</span> </div>
<div class="line"><span class="lineno"> 71</span> <span class="comment">// for each point in the array</span></div>
<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_points; i++) {</div>
<div class="line"><span class="lineno"> 73</span> <span class="comment">// for each feature in the array</span></div>
<div class="line"><span class="lineno"> 74</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; num_features; j++) {</div>
<div class="line"><span class="lineno"> 75</span> fp &lt;&lt; X[i][j]; <span class="comment">// print the feature value</span></div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordflow">if</span> (j &lt; num_features - 1) { <span class="comment">// if not the last feature</span></div>
<div class="line"><span class="lineno"> 77</span> fp &lt;&lt; <span class="stringliteral">&quot;,&quot;</span>; <span class="comment">// suffix comma</span></div>
<div class="line"><span class="lineno"> 78</span> }</div>
<div class="line"><span class="lineno"> 79</span> }</div>
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">if</span> (i &lt; num_points - 1) { <span class="comment">// if not the last row</span></div>
<div class="line"><span class="lineno"> 81</span> fp &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>; <span class="comment">// start a new line</span></div>
<div class="line"><span class="lineno"> 82</span> }</div>
<div class="line"><span class="lineno"> 83</span> }</div>
<div class="line"><span class="lineno"> 84</span> </div>
<div class="line"><span class="lineno"> 85</span> fp.close();</div>
<div class="line"><span class="lineno"> 86</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 87</span>}</div>
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<a name="doc-var-members" id="doc-var-members"></a><h2 id="header-doc-var-members" class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ga5118e5cbc4f0886e27b3a7a2544dded1">&#9670;&#160;</a></span>MAX_ITER</h2>
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<td class="memname">int MAX_ITER = 500</td>
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<span class="mlabels"><span class="mlabel constexpr">constexpr</span></span> </td>
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<p>Maximum number of iterations to learn </p>
<p class="definition">Definition at line <a class="el" href="../../d5/db0/adaline__learning_8cpp_source.html#l00040">40</a> of file <a class="el" href="../../d5/db0/adaline__learning_8cpp_source.html">adaline_learning.cpp</a>.</p>
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