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<div class="title">KroneckerTensorProduct.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2011 Kolja Brix &lt;brix@igpm.rwth-aachen.de&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// Copyright (C) 2011 Andreas Platen &lt;andiplaten@gmx.de&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// Copyright (C) 2012 Chen-Pang He &lt;jdh8@ms63.hinet.net&gt;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#ifndef KRONECKER_TENSOR_PRODUCT_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define KRONECKER_TENSOR_PRODUCT_H</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Options, <span class="keyword">typename</span> Index&gt; <span class="keyword">class </span>SparseMatrix;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs&gt;</div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classEigen_1_1KroneckerProduct.html">   30</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1KroneckerProduct.html">KroneckerProduct</a> : <span class="keyword">public</span> ReturnByValue&lt;KroneckerProduct&lt;Lhs,Rhs&gt; &gt;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;{</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">typedef</span> ReturnByValue&lt;KroneckerProduct&gt; Base;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Scalar Scalar;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Index Index;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="classEigen_1_1KroneckerProduct.html#a73212557fed8d9b3c415c0c57dd2a98e">   39</a></span>&#160;    <a class="code" href="classEigen_1_1KroneckerProduct.html#a73212557fed8d9b3c415c0c57dd2a98e">KroneckerProduct</a>(<span class="keyword">const</span> Lhs&amp; A, <span class="keyword">const</span> Rhs&amp; B)</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      : m_A(A), m_B(B)</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    {}</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Dest&gt; <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1KroneckerProduct.html#a4bce1b0cbd668b88d690b6016a529b7c">evalTo</a>(Dest&amp; dst) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    </div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="keyword">inline</span> Index rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_A.rows() * m_B.rows(); }</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keyword">inline</span> Index cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_A.cols() * m_B.cols(); }</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    Scalar coeff(Index row, Index col)<span class="keyword"> const</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">return</span> m_A.coeff(row / m_B.rows(), col / m_B.cols()) *</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;             m_B.coeff(row % m_B.rows(), col % m_B.cols());</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    }</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    Scalar coeff(Index i)<span class="keyword"> const</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      EIGEN_STATIC_ASSERT_VECTOR_ONLY(<a class="code" href="classEigen_1_1KroneckerProduct.html#a73212557fed8d9b3c415c0c57dd2a98e">KroneckerProduct</a>);</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordflow">return</span> m_A.coeff(i / m_A.size()) * m_B.coeff(i % m_A.size());</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    }</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    <span class="keyword">typename</span> Lhs::Nested m_A;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    <span class="keyword">typename</span> Rhs::Nested m_B;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;};</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs&gt;</div>
<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="classEigen_1_1KroneckerProductSparse.html">   80</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1KroneckerProductSparse.html">KroneckerProductSparse</a> : <span class="keyword">public</span> EigenBase&lt;KroneckerProductSparse&lt;Lhs,Rhs&gt; &gt;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;{</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits&lt;KroneckerProductSparse&gt;::Index Index;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="classEigen_1_1KroneckerProductSparse.html#a5070a9f0e4ab4ab01ef01b1d88ed81d0">   87</a></span>&#160;    <a class="code" href="classEigen_1_1KroneckerProductSparse.html#a5070a9f0e4ab4ab01ef01b1d88ed81d0">KroneckerProductSparse</a>(<span class="keyword">const</span> Lhs&amp; A, <span class="keyword">const</span> Rhs&amp; B)</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      : m_A(A), m_B(B)</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    {}</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Dest&gt; <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1KroneckerProductSparse.html#a4bce1b0cbd668b88d690b6016a529b7c">evalTo</a>(Dest&amp; dst) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    </div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    <span class="keyword">inline</span> Index rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_A.rows() * m_B.rows(); }</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    <span class="keyword">inline</span> Index cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_A.cols() * m_B.cols(); }</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Options, <span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    <span class="keyword">operator</span> SparseMatrix&lt;Scalar, Options, Index&gt;()</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    {</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      SparseMatrix&lt;Scalar, Options, Index&gt; result;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <a class="code" href="classEigen_1_1KroneckerProductSparse.html#a4bce1b0cbd668b88d690b6016a529b7c">evalTo</a>(result.derived());</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    }</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <span class="keyword">typename</span> Lhs::Nested m_A;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="keyword">typename</span> Rhs::Nested m_B;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;};</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs&gt;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Dest&gt;</div>
<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="classEigen_1_1KroneckerProduct.html#a4bce1b0cbd668b88d690b6016a529b7c">  112</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classEigen_1_1KroneckerProduct.html#a4bce1b0cbd668b88d690b6016a529b7c">KroneckerProduct&lt;Lhs,Rhs&gt;::evalTo</a>(Dest&amp; dst)<span class="keyword"> const</span></div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;  <span class="keyword">const</span> <span class="keywordtype">int</span> BlockRows = Rhs::RowsAtCompileTime,</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;            BlockCols = Rhs::ColsAtCompileTime;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  <span class="keyword">const</span> Index Br = m_B.rows(),</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;              Bc = m_B.cols();</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;  <span class="keywordflow">for</span> (Index i=0; i &lt; m_A.rows(); ++i)</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="keywordflow">for</span> (Index j=0; j &lt; m_A.cols(); ++j)</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      Block&lt;Dest,BlockRows,BlockCols&gt;(dst,i*Br,j*Bc,Br,Bc) = m_A.coeff(i,j) * m_B;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;}</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs&gt;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Dest&gt;</div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="classEigen_1_1KroneckerProductSparse.html#a4bce1b0cbd668b88d690b6016a529b7c">  125</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classEigen_1_1KroneckerProductSparse.html#a4bce1b0cbd668b88d690b6016a529b7c">KroneckerProductSparse&lt;Lhs,Rhs&gt;::evalTo</a>(Dest&amp; dst)<span class="keyword"> const</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;  <span class="keyword">const</span> Index Br = m_B.rows(),</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;              Bc = m_B.cols();</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  dst.resize(rows(),cols());</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  dst.resizeNonZeros(0);</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  dst.reserve(m_A.nonZeros() * m_B.nonZeros());</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;  <span class="keywordflow">for</span> (Index kA=0; kA &lt; m_A.outerSize(); ++kA)</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  {</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    <span class="keywordflow">for</span> (Index kB=0; kB &lt; m_B.outerSize(); ++kB)</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    {</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <span class="keywordflow">for</span> (<span class="keyword">typename</span> Lhs::InnerIterator itA(m_A,kA); itA; ++itA)</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      {</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        <span class="keywordflow">for</span> (<span class="keyword">typename</span> Rhs::InnerIterator itB(m_B,kB); itB; ++itB)</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        {</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          <span class="keyword">const</span> Index i = itA.row() * Br + itB.row(),</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                      j = itA.col() * Bc + itB.col();</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;          dst.insert(i,j) = itA.value() * itB.value();</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        }</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      }</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    }</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  }</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;}</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> _Lhs, <span class="keyword">typename</span> _Rhs&gt;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;<span class="keyword">struct </span>traits&lt;<a class="code" href="classEigen_1_1KroneckerProduct.html">KroneckerProduct</a>&lt;_Lhs,_Rhs&gt; &gt;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;{</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> remove_all&lt;_Lhs&gt;::type Lhs;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> remove_all&lt;_Rhs&gt;::type Rhs;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> scalar_product_traits&lt;typename Lhs::Scalar, typename Rhs::Scalar&gt;::ReturnType Scalar;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    Rows = size_at_compile_time&lt;traits&lt;Lhs&gt;::RowsAtCompileTime, traits&lt;Rhs&gt;::RowsAtCompileTime&gt;::ret,</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    Cols = size_at_compile_time&lt;traits&lt;Lhs&gt;::ColsAtCompileTime, traits&lt;Rhs&gt;::ColsAtCompileTime&gt;::ret,</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    MaxRows = size_at_compile_time&lt;traits&lt;Lhs&gt;::MaxRowsAtCompileTime, traits&lt;Rhs&gt;::MaxRowsAtCompileTime&gt;::ret,</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    MaxCols = size_at_compile_time&lt;traits&lt;Lhs&gt;::MaxColsAtCompileTime, traits&lt;Rhs&gt;::MaxColsAtCompileTime&gt;::ret,</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;    CoeffReadCost = Lhs::CoeffReadCost + Rhs::CoeffReadCost + NumTraits&lt;Scalar&gt;::MulCost</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  };</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;  <span class="keyword">typedef</span> Matrix&lt;Scalar,Rows,Cols&gt; ReturnType;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;};</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> _Lhs, <span class="keyword">typename</span> _Rhs&gt;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;<span class="keyword">struct </span>traits&lt;KroneckerProductSparse&lt;_Lhs,_Rhs&gt; &gt;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;{</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;  <span class="keyword">typedef</span> MatrixXpr XprKind;</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> remove_all&lt;_Lhs&gt;::type Lhs;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> remove_all&lt;_Rhs&gt;::type Rhs;</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> scalar_product_traits&lt;typename Lhs::Scalar, typename Rhs::Scalar&gt;::ReturnType Scalar;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> promote_storage_type&lt;typename traits&lt;Lhs&gt;::StorageKind, <span class="keyword">typename</span> traits&lt;Rhs&gt;::StorageKind&gt;::ret StorageKind;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> promote_index_type&lt;typename Lhs::Index, typename Rhs::Index&gt;::type Index;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;    LhsFlags = Lhs::Flags,</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;    RhsFlags = Rhs::Flags,</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;    RowsAtCompileTime = size_at_compile_time&lt;traits&lt;Lhs&gt;::RowsAtCompileTime, traits&lt;Rhs&gt;::RowsAtCompileTime&gt;::ret,</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    ColsAtCompileTime = size_at_compile_time&lt;traits&lt;Lhs&gt;::ColsAtCompileTime, traits&lt;Rhs&gt;::ColsAtCompileTime&gt;::ret,</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    MaxRowsAtCompileTime = size_at_compile_time&lt;traits&lt;Lhs&gt;::MaxRowsAtCompileTime, traits&lt;Rhs&gt;::MaxRowsAtCompileTime&gt;::ret,</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    MaxColsAtCompileTime = size_at_compile_time&lt;traits&lt;Lhs&gt;::MaxColsAtCompileTime, traits&lt;Rhs&gt;::MaxColsAtCompileTime&gt;::ret,</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    EvalToRowMajor = (LhsFlags &amp; RhsFlags &amp; RowMajorBit),</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;    RemovedBits = ~(EvalToRowMajor ? 0 : RowMajorBit),</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    Flags = ((LhsFlags | RhsFlags) &amp; HereditaryBits &amp; RemovedBits)</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;          | EvalBeforeNestingBit | EvalBeforeAssigningBit,</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;    CoeffReadCost = Dynamic</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;  };</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;};</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt;</div>
<div class="line"><a name="l00220"></a><span class="lineno"><a class="line" href="group__KroneckerProduct__Module.html#gaa8924dffc6cee7aa1e908dc395a7a167">  220</a></span>&#160;<a class="code" href="classEigen_1_1KroneckerProduct.html">KroneckerProduct&lt;A,B&gt;</a> <a class="code" href="group__KroneckerProduct__Module.html#gaa8924dffc6cee7aa1e908dc395a7a167">kroneckerProduct</a>(<span class="keyword">const</span> MatrixBase&lt;A&gt;&amp; a, <span class="keyword">const</span> MatrixBase&lt;B&gt;&amp; b)</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;{</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1KroneckerProduct.html">KroneckerProduct&lt;A, B&gt;</a>(a.derived(), b.derived());</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;}</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> A, <span class="keyword">typename</span> B&gt;</div>
<div class="line"><a name="l00237"></a><span class="lineno"><a class="line" href="group__KroneckerProduct__Module.html#gaca497f43cc92bcbf6eaff64984a266cc">  237</a></span>&#160;<a class="code" href="classEigen_1_1KroneckerProductSparse.html">KroneckerProductSparse&lt;A,B&gt;</a> <a class="code" href="group__KroneckerProduct__Module.html#gaa8924dffc6cee7aa1e908dc395a7a167">kroneckerProduct</a>(<span class="keyword">const</span> EigenBase&lt;A&gt;&amp; a, <span class="keyword">const</span> EigenBase&lt;B&gt;&amp; b)</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;{</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1KroneckerProductSparse.html">KroneckerProductSparse&lt;A,B&gt;</a>(a.derived(), b.derived());</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;}</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;<span class="preprocessor">#endif // KRONECKER_TENSOR_PRODUCT_H</span></div>
<div class="ttc" id="classEigen_1_1KroneckerProductSparse_html_a4bce1b0cbd668b88d690b6016a529b7c"><div class="ttname"><a href="classEigen_1_1KroneckerProductSparse.html#a4bce1b0cbd668b88d690b6016a529b7c">Eigen::KroneckerProductSparse::evalTo</a></div><div class="ttdeci">void evalTo(Dest &amp;dst) const </div><div class="ttdoc">Evaluate the Kronecker tensor product. </div><div class="ttdef"><b>Definition:</b> KroneckerTensorProduct.h:125</div></div>
<div class="ttc" id="group__KroneckerProduct__Module_html_gaa8924dffc6cee7aa1e908dc395a7a167"><div class="ttname"><a href="group__KroneckerProduct__Module.html#gaa8924dffc6cee7aa1e908dc395a7a167">Eigen::kroneckerProduct</a></div><div class="ttdeci">KroneckerProduct&lt; A, B &gt; kroneckerProduct(const MatrixBase&lt; A &gt; &amp;a, const MatrixBase&lt; B &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> KroneckerTensorProduct.h:220</div></div>
<div class="ttc" id="classEigen_1_1KroneckerProduct_html_a4bce1b0cbd668b88d690b6016a529b7c"><div class="ttname"><a href="classEigen_1_1KroneckerProduct.html#a4bce1b0cbd668b88d690b6016a529b7c">Eigen::KroneckerProduct::evalTo</a></div><div class="ttdeci">void evalTo(Dest &amp;dst) const </div><div class="ttdoc">Evaluate the Kronecker tensor product. </div><div class="ttdef"><b>Definition:</b> KroneckerTensorProduct.h:112</div></div>
<div class="ttc" id="classEigen_1_1KroneckerProductSparse_html_a5070a9f0e4ab4ab01ef01b1d88ed81d0"><div class="ttname"><a href="classEigen_1_1KroneckerProductSparse.html#a5070a9f0e4ab4ab01ef01b1d88ed81d0">Eigen::KroneckerProductSparse::KroneckerProductSparse</a></div><div class="ttdeci">KroneckerProductSparse(const Lhs &amp;A, const Rhs &amp;B)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> KroneckerTensorProduct.h:87</div></div>
<div class="ttc" id="classEigen_1_1KroneckerProduct_html"><div class="ttname"><a href="classEigen_1_1KroneckerProduct.html">Eigen::KroneckerProduct</a></div><div class="ttdoc">Kronecker tensor product helper class for dense matrices. </div><div class="ttdef"><b>Definition:</b> KroneckerTensorProduct.h:30</div></div>
<div class="ttc" id="classEigen_1_1KroneckerProductSparse_html"><div class="ttname"><a href="classEigen_1_1KroneckerProductSparse.html">Eigen::KroneckerProductSparse</a></div><div class="ttdoc">Kronecker tensor product helper class for sparse matrices. </div><div class="ttdef"><b>Definition:</b> KroneckerTensorProduct.h:80</div></div>
<div class="ttc" id="classEigen_1_1KroneckerProduct_html_a73212557fed8d9b3c415c0c57dd2a98e"><div class="ttname"><a href="classEigen_1_1KroneckerProduct.html#a73212557fed8d9b3c415c0c57dd2a98e">Eigen::KroneckerProduct::KroneckerProduct</a></div><div class="ttdeci">KroneckerProduct(const Lhs &amp;A, const Rhs &amp;B)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> KroneckerTensorProduct.h:39</div></div>
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