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<div class="title">lrsdp_function.hpp</div> </div>
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<a href="lrsdp__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="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#ifndef MLPACK_CORE_OPTIMIZERS_SDP_LRSDP_FUNCTION_HPP</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#define MLPACK_CORE_OPTIMIZERS_SDP_LRSDP_FUNCTION_HPP</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include <<a class="code" href="prereqs_8hpp.html">mlpack/prereqs.hpp</a>></span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include <<a class="code" href="aug__lagrangian_8hpp.html">mlpack/core/optimizers/aug_lagrangian/aug_lagrangian.hpp</a>></span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include <<a class="code" href="sdp_8hpp.html">mlpack/core/optimizers/sdp/sdp.hpp</a>></span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">namespace </span><a class="code" href="namespacemlpack.html">mlpack</a> {</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="keyword">namespace </span>optimization {</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">template</span> <<span class="keyword">typename</span> SDPType></div><div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="classmlpack_1_1optimization_1_1LRSDPFunction.html"> 27</a></span> <span class="keyword">class </span><a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html">LRSDPFunction</a></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> {</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keyword">public</span>:</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a5386d80d2b56be9dc4dbabfb845eaaf6">LRSDPFunction</a>(<span class="keyword">const</span> SDPType& <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a6b92f19ba9240768a8404538be91bd77">sdp</a>,</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keyword">const</span> arma::mat& <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#ab1e4216431124628b7df93463b7d11ba">initialPoint</a>);</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a5386d80d2b56be9dc4dbabfb845eaaf6">LRSDPFunction</a>(<span class="keyword">const</span> <span class="keywordtype">size_t</span> numSparseConstraints,</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keyword">const</span> <span class="keywordtype">size_t</span> numDenseConstraints,</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">const</span> arma::mat& initialPoint);</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a21b8e4f2c4f8a0ee40c8e1c6e0ff3f60">Evaluate</a>(<span class="keyword">const</span> arma::mat& coordinates) <span class="keyword">const</span>;</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> </div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a00ab5ada7c854f14867f631338cc9034">Gradient</a>(<span class="keyword">const</span> arma::mat& coordinates, arma::mat& gradient) <span class="keyword">const</span>;</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a4217c331f89c41cb6408d5ede87bf875">EvaluateConstraint</a>(<span class="keyword">const</span> <span class="keywordtype">size_t</span> index,</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">const</span> arma::mat& coordinates) <span class="keyword">const</span>;</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a24ceba6c030ed8154bb52e5c57375f95">GradientConstraint</a>(<span class="keyword">const</span> <span class="keywordtype">size_t</span> index,</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keyword">const</span> arma::mat& coordinates,</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  arma::mat& gradient) <span class="keyword">const</span>;</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div><div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a1f618b1100f7fb2638c3beab8f60898c"> 81</a></span>  <span class="keywordtype">size_t</span> <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a1f618b1100f7fb2638c3beab8f60898c">NumConstraints</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> sdp.NumConstraints(); }</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div><div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#afc62e1ab6797fad16057d45d81813323"> 84</a></span>  <span class="keyword">const</span> arma::mat& <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#afc62e1ab6797fad16057d45d81813323">GetInitialPoint</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#ab1e4216431124628b7df93463b7d11ba">initialPoint</a>; }</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div><div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a4ff71ca67506faa5d97d9141e64281a1"> 87</a></span>  <span class="keyword">const</span> SDPType& <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a4ff71ca67506faa5d97d9141e64281a1">SDP</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a6b92f19ba9240768a8404538be91bd77">sdp</a>; }</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div><div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#ab3ec818ff26b38ad0394f6af97862601"> 90</a></span>  SDPType& <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#ab3ec818ff26b38ad0394f6af97862601">SDP</a>() { <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a6b92f19ba9240768a8404538be91bd77">sdp</a>; }</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keyword">private</span>:</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div><div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a6b92f19ba9240768a8404538be91bd77"> 95</a></span>  SDPType <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a6b92f19ba9240768a8404538be91bd77">sdp</a>;</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span> </div><div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#ab1e4216431124628b7df93463b7d11ba"> 98</a></span>  arma::mat <a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#ab1e4216431124628b7df93463b7d11ba">initialPoint</a>;</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="l00101"></a><span class="lineno"> 101</span> <span class="comment">// Declare specializations in lrsdp_function.cpp.</span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1optimization_1_1AugLagrangianFunction.html">AugLagrangianFunction<LRSDPFunction<SDP<arma::sp_mat></a>>><a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a21b8e4f2c4f8a0ee40c8e1c6e0ff3f60">::Evaluate</a>(</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">const</span> arma::mat& coordinates) <span class="keyword">const</span>;</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1optimization_1_1AugLagrangianFunction.html">AugLagrangianFunction<LRSDPFunction<SDP<arma::mat></a>>><a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a21b8e4f2c4f8a0ee40c8e1c6e0ff3f60">::Evaluate</a>(</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keyword">const</span> arma::mat& coordinates) <span class="keyword">const</span>;</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1optimization_1_1AugLagrangianFunction.html">AugLagrangianFunction<LRSDPFunction<SDP<arma::sp_mat></a>>><a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a00ab5ada7c854f14867f631338cc9034">::Gradient</a>(</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keyword">const</span> arma::mat& coordinates,</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  arma::mat& gradient) <span class="keyword">const</span>;</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1optimization_1_1AugLagrangianFunction.html">AugLagrangianFunction<LRSDPFunction<SDP<arma::mat></a>>><a class="code" href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a00ab5ada7c854f14867f631338cc9034">::Gradient</a>(</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">const</span> arma::mat& coordinates,</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  arma::mat& gradient) <span class="keyword">const</span>;</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span> } <span class="comment">// namespace optimization</span></div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> } <span class="comment">// namespace mlpack</span></div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span> </div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment">// Include implementation</span></div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="preprocessor">#include "lrsdp_function_impl.hpp"</span></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="preprocessor">#endif // MLPACK_CORE_OPTIMIZERS_SDP_LRSDP_FUNCTION_HPP</span></div><div class="ttc" id="classmlpack_1_1optimization_1_1LRSDPFunction_html_a4ff71ca67506faa5d97d9141e64281a1"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a4ff71ca67506faa5d97d9141e64281a1">mlpack::optimization::LRSDPFunction::SDP</a></div><div class="ttdeci">const SDPType & SDP() const </div><div class="ttdoc">Return the SDP object representing the problem. </div><div class="ttdef"><b>Definition:</b> <a href="lrsdp__function_8hpp_source.html#l00087">lrsdp_function.hpp:87</a></div></div>
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<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_1optimization_1_1LRSDPFunction_html_a4217c331f89c41cb6408d5ede87bf875"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a4217c331f89c41cb6408d5ede87bf875">mlpack::optimization::LRSDPFunction::EvaluateConstraint</a></div><div class="ttdeci">double EvaluateConstraint(const size_t index, const arma::mat &coordinates) const </div><div class="ttdoc">Evaluate a particular constraint of the LRSDP at the given coordinates. </div></div>
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<div class="ttc" id="classmlpack_1_1optimization_1_1LRSDPFunction_html_a24ceba6c030ed8154bb52e5c57375f95"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a24ceba6c030ed8154bb52e5c57375f95">mlpack::optimization::LRSDPFunction::GradientConstraint</a></div><div class="ttdeci">void GradientConstraint(const size_t index, const arma::mat &coordinates, arma::mat &gradient) const </div><div class="ttdoc">Evaluate the gradient of a particular constraint of the LRSDP at the given coordinates. </div></div>
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<div class="ttc" id="classmlpack_1_1optimization_1_1LRSDPFunction_html"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html">mlpack::optimization::LRSDPFunction</a></div><div class="ttdoc">The objective function that LRSDP is trying to optimize. </div><div class="ttdef"><b>Definition:</b> <a href="lrsdp__function_8hpp_source.html#l00027">lrsdp_function.hpp:27</a></div></div>
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<div class="ttc" id="classmlpack_1_1optimization_1_1LRSDPFunction_html_a6b92f19ba9240768a8404538be91bd77"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a6b92f19ba9240768a8404538be91bd77">mlpack::optimization::LRSDPFunction::sdp</a></div><div class="ttdeci">SDPType sdp</div><div class="ttdoc">SDP object representing the problem. </div><div class="ttdef"><b>Definition:</b> <a href="lrsdp__function_8hpp_source.html#l00095">lrsdp_function.hpp:95</a></div></div>
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<div class="ttc" id="classmlpack_1_1optimization_1_1LRSDPFunction_html_ab3ec818ff26b38ad0394f6af97862601"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#ab3ec818ff26b38ad0394f6af97862601">mlpack::optimization::LRSDPFunction::SDP</a></div><div class="ttdeci">SDPType & SDP()</div><div class="ttdoc">Modify the SDP object representing the problem. </div><div class="ttdef"><b>Definition:</b> <a href="lrsdp__function_8hpp_source.html#l00090">lrsdp_function.hpp:90</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_1optimization_1_1LRSDPFunction_html_afc62e1ab6797fad16057d45d81813323"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#afc62e1ab6797fad16057d45d81813323">mlpack::optimization::LRSDPFunction::GetInitialPoint</a></div><div class="ttdeci">const arma::mat & GetInitialPoint() const </div><div class="ttdoc">Get the initial point of the LRSDP. </div><div class="ttdef"><b>Definition:</b> <a href="lrsdp__function_8hpp_source.html#l00084">lrsdp_function.hpp:84</a></div></div>
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<div class="ttc" id="aug__lagrangian_8hpp_html"><div class="ttname"><a href="aug__lagrangian_8hpp.html">aug_lagrangian.hpp</a></div></div>
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<div class="ttc" id="classmlpack_1_1optimization_1_1LRSDPFunction_html_a21b8e4f2c4f8a0ee40c8e1c6e0ff3f60"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a21b8e4f2c4f8a0ee40c8e1c6e0ff3f60">mlpack::optimization::LRSDPFunction::Evaluate</a></div><div class="ttdeci">double Evaluate(const arma::mat &coordinates) const </div><div class="ttdoc">Evaluate the objective function of the LRSDP (no constraints) at the given coordinates. </div></div>
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<div class="ttc" id="sdp_8hpp_html"><div class="ttname"><a href="sdp_8hpp.html">sdp.hpp</a></div></div>
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<div class="ttc" id="classmlpack_1_1optimization_1_1LRSDPFunction_html_ab1e4216431124628b7df93463b7d11ba"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#ab1e4216431124628b7df93463b7d11ba">mlpack::optimization::LRSDPFunction::initialPoint</a></div><div class="ttdeci">arma::mat initialPoint</div><div class="ttdoc">Initial point. </div><div class="ttdef"><b>Definition:</b> <a href="lrsdp__function_8hpp_source.html#l00098">lrsdp_function.hpp:98</a></div></div>
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<div class="ttc" id="classmlpack_1_1optimization_1_1LRSDPFunction_html_a5386d80d2b56be9dc4dbabfb845eaaf6"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a5386d80d2b56be9dc4dbabfb845eaaf6">mlpack::optimization::LRSDPFunction::LRSDPFunction</a></div><div class="ttdeci">LRSDPFunction(const SDPType &sdp, const arma::mat &initialPoint)</div><div class="ttdoc">Construct the LRSDPFunction from the given SDP. </div></div>
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<div class="ttc" id="classmlpack_1_1optimization_1_1LRSDPFunction_html_a00ab5ada7c854f14867f631338cc9034"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a00ab5ada7c854f14867f631338cc9034">mlpack::optimization::LRSDPFunction::Gradient</a></div><div class="ttdeci">void Gradient(const arma::mat &coordinates, arma::mat &gradient) const </div><div class="ttdoc">Evaluate the gradient of the LRSDP (no constraints) at the given coordinates. </div></div>
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<div class="ttc" id="classmlpack_1_1optimization_1_1AugLagrangianFunction_html"><div class="ttname"><a href="classmlpack_1_1optimization_1_1AugLagrangianFunction.html">mlpack::optimization::AugLagrangianFunction</a></div><div class="ttdoc">This is a utility class used by AugLagrangian, meant to wrap a LagrangianFunction into a function usa...</div><div class="ttdef"><b>Definition:</b> <a href="aug__lagrangian__function_8hpp_source.html#l00038">aug_lagrangian_function.hpp:38</a></div></div>
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<div class="ttc" id="classmlpack_1_1optimization_1_1LRSDPFunction_html_a1f618b1100f7fb2638c3beab8f60898c"><div class="ttname"><a href="classmlpack_1_1optimization_1_1LRSDPFunction.html#a1f618b1100f7fb2638c3beab8f60898c">mlpack::optimization::LRSDPFunction::NumConstraints</a></div><div class="ttdeci">size_t NumConstraints() const </div><div class="ttdoc">Get the total number of constraints in the LRSDP. </div><div class="ttdef"><b>Definition:</b> <a href="lrsdp__function_8hpp_source.html#l00081">lrsdp_function.hpp:81</a></div></div>
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