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<div class="title">softsign_function.hpp</div> </div>
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<a href="softsign__function_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> </div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifndef MLPACK_METHODS_ANN_ACTIVATION_FUNCTIONS_SOFTSIGN_FUNCTION_HPP</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#define MLPACK_METHODS_ANN_ACTIVATION_FUNCTIONS_SOFTSIGN_FUNCTION_HPP</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> </div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include <<a class="code" href="prereqs_8hpp.html">mlpack/prereqs.hpp</a>></span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> </div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">namespace </span><a class="code" href="namespacemlpack.html">mlpack</a> {</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">namespace </span>ann {</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div><div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftsignFunction.html"> 47</a></span> <span class="keyword">class </span><a class="code" href="classmlpack_1_1ann_1_1SoftsignFunction.html">SoftsignFunction</a></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> {</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">public</span>:</div><div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftsignFunction.html#a81f0bb62d6a0444d560381a08b040be1"> 56</a></span>  <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1ann_1_1SoftsignFunction.html#a81f0bb62d6a0444d560381a08b040be1">Fn</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x)</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  {</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">if</span> (x < DBL_MAX)</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> x > -DBL_MAX ? x / (1.0 + std::abs(x)) : -1.0;</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">return</span> 1.0;</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  }</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keyword">template</span><<span class="keyword">typename</span> InputVecType, <span class="keyword">typename</span> OutputVecType></div><div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftsignFunction.html#a221ebebb848999a72fcf145761b15543"> 70</a></span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1ann_1_1SoftsignFunction.html#a221ebebb848999a72fcf145761b15543">Fn</a>(<span class="keyword">const</span> InputVecType& x, OutputVecType& y)</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  {</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  y = x;</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span> </div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < x.n_elem; i++)</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  y(i) = <a class="code" href="classmlpack_1_1ann_1_1SoftsignFunction.html#a81f0bb62d6a0444d560381a08b040be1">Fn</a>(x(i));</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  }</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div><div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftsignFunction.html#aea0f1eb069eda7f64b9e749da5aa23b5"> 84</a></span>  <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1ann_1_1SoftsignFunction.html#aea0f1eb069eda7f64b9e749da5aa23b5">Deriv</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> y)</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  {</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">return</span> std::pow(1.0 - std::abs(y), 2);</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  }</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">template</span><<span class="keyword">typename</span> InputVecType, <span class="keyword">typename</span> OutputVecType></div><div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftsignFunction.html#a3b045cbc3b85f85208cdffcb1879d0e9"> 96</a></span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1ann_1_1SoftsignFunction.html#a3b045cbc3b85f85208cdffcb1879d0e9">Deriv</a>(<span class="keyword">const</span> InputVecType& y, OutputVecType& x)</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  {</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  x = arma::pow(1.0 - arma::abs(y), 2);</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div><div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftsignFunction.html#a3a49259480827ac7de3ab69eb10591d2"> 107</a></span>  <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1ann_1_1SoftsignFunction.html#a3a49259480827ac7de3ab69eb10591d2">Inv</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> y)</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  {</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">if</span> (y > 0)</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">return</span> y < 1 ? -y / (y - 1) : DBL_MAX;</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">else</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordflow">return</span> y > -1 ? y / (1 + y) : -DBL_MAX;</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  }</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keyword">template</span><<span class="keyword">typename</span> InputVecType, <span class="keyword">typename</span> OutputVecType></div><div class="line"><a name="l00122"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftsignFunction.html#ad840a1eec3cd4518e3eefc3b908efabf"> 122</a></span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1ann_1_1SoftsignFunction.html#ad840a1eec3cd4518e3eefc3b908efabf">Inv</a>(<span class="keyword">const</span> InputVecType& y, OutputVecType& x)</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  {</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  x = y;</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span> </div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < y.n_elem; i++)</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  x(i) = <a class="code" href="classmlpack_1_1ann_1_1SoftsignFunction.html#a3a49259480827ac7de3ab69eb10591d2">Inv</a>(y(i));</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  }</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span> }; <span class="comment">// class SoftsignFunction</span></div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span> </div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span> } <span class="comment">// namespace ann</span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span> } <span class="comment">// namespace mlpack</span></div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="namespacemlpack_html"><div class="ttname"><a href="namespacemlpack.html">mlpack</a></div><div class="ttdoc">Linear algebra utility functions, generally performed on matrices or vectors. </div><div class="ttdef"><b>Definition:</b> <a href="binarize_8hpp_source.html#l00018">binarize.hpp:18</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftsignFunction_html_a81f0bb62d6a0444d560381a08b040be1"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftsignFunction.html#a81f0bb62d6a0444d560381a08b040be1">mlpack::ann::SoftsignFunction::Fn</a></div><div class="ttdeci">static double Fn(const double x)</div><div class="ttdoc">Computes the softsign function. </div><div class="ttdef"><b>Definition:</b> <a href="softsign__function_8hpp_source.html#l00056">softsign_function.hpp:56</a></div></div>
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<div class="ttc" id="prereqs_8hpp_html"><div class="ttname"><a href="prereqs_8hpp.html">prereqs.hpp</a></div><div class="ttdoc">The core includes that mlpack expects; standard C++ includes and Armadillo. </div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftsignFunction_html_aea0f1eb069eda7f64b9e749da5aa23b5"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftsignFunction.html#aea0f1eb069eda7f64b9e749da5aa23b5">mlpack::ann::SoftsignFunction::Deriv</a></div><div class="ttdeci">static double Deriv(const double y)</div><div class="ttdoc">Computes the first derivative of the softsign function. </div><div class="ttdef"><b>Definition:</b> <a href="softsign__function_8hpp_source.html#l00084">softsign_function.hpp:84</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftsignFunction_html_ad840a1eec3cd4518e3eefc3b908efabf"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftsignFunction.html#ad840a1eec3cd4518e3eefc3b908efabf">mlpack::ann::SoftsignFunction::Inv</a></div><div class="ttdeci">static void Inv(const InputVecType &y, OutputVecType &x)</div><div class="ttdoc">Computes the inverse of the softsign function. </div><div class="ttdef"><b>Definition:</b> <a href="softsign__function_8hpp_source.html#l00122">softsign_function.hpp:122</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftsignFunction_html_a3b045cbc3b85f85208cdffcb1879d0e9"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftsignFunction.html#a3b045cbc3b85f85208cdffcb1879d0e9">mlpack::ann::SoftsignFunction::Deriv</a></div><div class="ttdeci">static void Deriv(const InputVecType &y, OutputVecType &x)</div><div class="ttdoc">Computes the first derivatives of the softsign function. </div><div class="ttdef"><b>Definition:</b> <a href="softsign__function_8hpp_source.html#l00096">softsign_function.hpp:96</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftsignFunction_html_a3a49259480827ac7de3ab69eb10591d2"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftsignFunction.html#a3a49259480827ac7de3ab69eb10591d2">mlpack::ann::SoftsignFunction::Inv</a></div><div class="ttdeci">static double Inv(const double y)</div><div class="ttdoc">Computes the inverse of the softsign function. </div><div class="ttdef"><b>Definition:</b> <a href="softsign__function_8hpp_source.html#l00107">softsign_function.hpp:107</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftsignFunction_html_a221ebebb848999a72fcf145761b15543"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftsignFunction.html#a221ebebb848999a72fcf145761b15543">mlpack::ann::SoftsignFunction::Fn</a></div><div class="ttdeci">static void Fn(const InputVecType &x, OutputVecType &y)</div><div class="ttdoc">Computes the softsign function. </div><div class="ttdef"><b>Definition:</b> <a href="softsign__function_8hpp_source.html#l00070">softsign_function.hpp:70</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftsignFunction_html"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftsignFunction.html">mlpack::ann::SoftsignFunction</a></div><div class="ttdoc">The softsign function, defined by. </div><div class="ttdef"><b>Definition:</b> <a href="softsign__function_8hpp_source.html#l00047">softsign_function.hpp:47</a></div></div>
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