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<div class="title">ProductBase.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <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> <span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#ifndef EIGEN_PRODUCTBASE_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_PRODUCTBASE_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived, <span class="keyword">typename</span> _Lhs, <span class="keyword">typename</span> _Rhs></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="keyword">struct </span>traits<ProductBase<Derived,_Lhs,_Rhs> ></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> {</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="keyword">typedef</span> MatrixXpr XprKind;</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> remove_all<_Lhs>::type Lhs;</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> remove_all<_Rhs>::type Rhs;</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType Scalar;</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> promote_storage_type<typename traits<Lhs>::StorageKind,</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keyword">typename</span> traits<Rhs>::StorageKind>::ret StorageKind;</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> promote_index_type<typename traits<Lhs>::Index,</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keyword">typename</span> traits<Rhs>::Index>::type Index;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  RowsAtCompileTime = traits<Lhs>::RowsAtCompileTime,</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  ColsAtCompileTime = traits<Rhs>::ColsAtCompileTime,</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  MaxRowsAtCompileTime = traits<Lhs>::MaxRowsAtCompileTime,</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  MaxColsAtCompileTime = traits<Rhs>::MaxColsAtCompileTime,</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  Flags = (MaxRowsAtCompileTime==1 ? <a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a> : 0)</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  | <a class="code" href="group__flags.html#gaf8ad6e2956f7368b8e3f7407e2319e63">EvalBeforeNestingBit</a> | <a class="code" href="group__flags.html#gadc8925e67a5a54bd479d6f587112e19a">EvalBeforeAssigningBit</a> | NestByRefBit,</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="comment">// Note that EvalBeforeNestingBit and NestByRefBit</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="comment">// are not used in practice because nested is overloaded for products</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  CoeffReadCost = 0 <span class="comment">// FIXME why is it needed ?</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  };</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> };</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> }</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#define EIGEN_PRODUCT_PUBLIC_INTERFACE(Derived) \</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor"> typedef ProductBase<Derived, Lhs, Rhs > Base; \</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor"> EIGEN_DENSE_PUBLIC_INTERFACE(Derived) \</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor"> typedef typename Base::LhsNested LhsNested; \</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor"> typedef typename Base::_LhsNested _LhsNested; \</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor"> typedef typename Base::LhsBlasTraits LhsBlasTraits; \</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor"> typedef typename Base::ActualLhsType ActualLhsType; \</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor"> typedef typename Base::_ActualLhsType _ActualLhsType; \</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor"> typedef typename Base::RhsNested RhsNested; \</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="preprocessor"> typedef typename Base::_RhsNested _RhsNested; \</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor"> typedef typename Base::RhsBlasTraits RhsBlasTraits; \</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor"> typedef typename Base::ActualRhsType ActualRhsType; \</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor"> typedef typename Base::_ActualRhsType _ActualRhsType; \</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor"> using Base::m_lhs; \</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="preprocessor"> using Base::m_rhs;</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived, <span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">class </span>ProductBase : <span class="keyword">public</span> MatrixBase<Derived></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">typedef</span> MatrixBase<Derived> Base;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  EIGEN_DENSE_PUBLIC_INTERFACE(ProductBase)</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  typedef typename Lhs::Nested LhsNested;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  typedef typename internal::remove_all<LhsNested>::type _LhsNested;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  typedef internal::blas_traits<_LhsNested> LhsBlasTraits;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  typedef typename LhsBlasTraits::DirectLinearAccessType ActualLhsType;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  typedef typename internal::remove_all<ActualLhsType>::type _ActualLhsType;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  typedef typename internal::traits<Lhs>::Scalar LhsScalar;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  typedef typename Rhs::Nested RhsNested;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  typedef typename internal::remove_all<RhsNested>::type _RhsNested;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  typedef internal::blas_traits<_RhsNested> RhsBlasTraits;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  typedef typename RhsBlasTraits::DirectLinearAccessType ActualRhsType;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  typedef typename internal::remove_all<ActualRhsType>::type _ActualRhsType;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  typedef typename internal::traits<Rhs>::Scalar RhsScalar;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// Diagonal of a product: no need to evaluate the arguments because they are going to be evaluated only once</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  typedef CoeffBasedProduct<LhsNested, RhsNested, 0> FullyLazyCoeffBaseProductType;</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>  public:</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>  typedef typename Base::PlainObject PlainObject;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  ProductBase(const Lhs& a_lhs, const Rhs& a_rhs)</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  : m_lhs(a_lhs), m_rhs(a_rhs)</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  {</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  eigen_assert(a_lhs.cols() == a_rhs.rows()</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  && <span class="stringliteral">"invalid matrix product"</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  && <span class="stringliteral">"if you wanted a coeff-wise or a dot product use the respective explicit functions"</span>);</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  }</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>  <span class="keyword">inline</span> Index rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_lhs.rows(); }</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keyword">inline</span> Index cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_rhs.cols(); }</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="keyword">template</span><<span class="keyword">typename</span> Dest></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> evalTo(Dest& dst)<span class="keyword"> const </span>{ dst.setZero(); scaleAndAddTo(dst,Scalar(1)); }</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> addTo(Dest& dst)<span class="keyword"> const </span>{ scaleAndAddTo(dst,Scalar(1)); }</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> subTo(Dest& dst)<span class="keyword"> const </span>{ scaleAndAddTo(dst,Scalar(-1)); }</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><<span class="keyword">typename</span> Dest></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> scaleAndAddTo(Dest& dst, <span class="keyword">const</span> Scalar& alpha)<span class="keyword"> const </span>{ derived().scaleAndAddTo(dst,alpha); }</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> </div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keyword">const</span> _LhsNested& lhs()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_lhs; }</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keyword">const</span> _RhsNested& rhs()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_rhs; }</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="comment">// Implicit conversion to the nested type (trigger the evaluation of the product)</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">operator</span> <span class="keyword">const</span> PlainObject& () <span class="keyword">const</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  {</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  m_result.resize(m_lhs.rows(), m_rhs.cols());</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  derived().evalTo(m_result);</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordflow">return</span> m_result;</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> </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">const</span> Diagonal<const FullyLazyCoeffBaseProductType,0> diagonal()<span class="keyword"> const</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> FullyLazyCoeffBaseProductType(m_lhs, m_rhs); }</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">template</span><<span class="keywordtype">int</span> Index></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">const</span> Diagonal<FullyLazyCoeffBaseProductType,Index> diagonal()<span class="keyword"> const</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> FullyLazyCoeffBaseProductType(m_lhs, m_rhs); }</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="keyword">const</span> Diagonal<FullyLazyCoeffBaseProductType,Dynamic> diagonal(Index index)<span class="keyword"> const</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> FullyLazyCoeffBaseProductType(m_lhs, m_rhs).diagonal(index); }</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="comment">// restrict coeff accessors to 1x1 expressions. No need to care about mutators here since this isnt a Lvalue expression</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keyword">typename</span> Base::CoeffReturnType coeff(Index row, Index col)<span class="keyword"> const</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="preprocessor">#ifdef EIGEN2_SUPPORT</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="preprocessor"></span> <span class="keywordflow">return</span> lhs().row(row).cwiseProduct(rhs().col(col).transpose()).sum();</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="preprocessor"></span> EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  eigen_assert(this->rows() == 1 && this->cols() == 1);</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  Matrix<Scalar,1,1> result = *this;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  return result.coeff(row,col);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="preprocessor"></span> }</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keyword">typename</span> Base::CoeffReturnType coeff(Index i)<span class="keyword"> const</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  eigen_assert(this->rows() == 1 && this->cols() == 1);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  Matrix<Scalar,1,1> result = *this;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  return result.coeff(i);</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  }</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  const Scalar& coeffRef(Index row, Index col)<span class="keyword"> const</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  eigen_assert(this->rows() == 1 && this->cols() == 1);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  return derived().coeffRef(row,col);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  }</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> </div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  const Scalar& coeffRef(Index i)<span class="keyword"> const</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  eigen_assert(this->rows() == 1 && this->cols() == 1);</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  return derived().coeffRef(i);</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  }</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> </div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  protected:</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  LhsNested m_lhs;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  RhsNested m_rhs;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  mutable PlainObject m_result;</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> };</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> </div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment">// here we need to overload the nested rule for products</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment">// such that the nested type is a const reference to a plain matrix</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> namespace internal {</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">template</span><<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> N, <span class="keyword">typename</span> PlainObject></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="keyword">struct </span>nested<GeneralProduct<Lhs,Rhs,Mode>, N, PlainObject></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> {</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keyword">typedef</span> PlainObject <span class="keyword">const</span>& type;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> };</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> }</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> </div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="keyword">template</span><<span class="keyword">typename</span> NestedProduct></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="keyword">class </span>ScaledProduct;</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// Note that these two operator* functions are not defined as member</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// functions of ProductBase, because, otherwise we would have to</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment">// define all overloads defined in MatrixBase. Furthermore, Using</span></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// "using Base::operator*" would not work with MSVC.</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment">//</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment">// Also note that here we accept any compatible scalar types</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived,<span class="keyword">typename</span> Lhs,<span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="keyword">const</span> ScaledProduct<Derived></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>(<span class="keyword">const</span> ProductBase<Derived,Lhs,Rhs>& prod, <span class="keyword">const</span> <span class="keyword">typename</span> Derived::Scalar& x)</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> { <span class="keywordflow">return</span> ScaledProduct<Derived>(prod.derived(), x); }</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> </div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived,<span class="keyword">typename</span> Lhs,<span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="keyword">typename</span> internal::enable_if<!internal::is_same<typename Derived::Scalar,typename Derived::RealScalar>::value,</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keyword">const</span> ScaledProduct<Derived> >::type</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>(<span class="keyword">const</span> ProductBase<Derived,Lhs,Rhs>& prod, <span class="keyword">const</span> <span class="keyword">typename</span> Derived::RealScalar& x)</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> { <span class="keywordflow">return</span> ScaledProduct<Derived>(prod.derived(), x); }</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> </div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived,<span class="keyword">typename</span> Lhs,<span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="keyword">const</span> ScaledProduct<Derived></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>(<span class="keyword">const</span> <span class="keyword">typename</span> Derived::Scalar& x,<span class="keyword">const</span> ProductBase<Derived,Lhs,Rhs>& prod)</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> { <span class="keywordflow">return</span> ScaledProduct<Derived>(prod.derived(), x); }</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> </div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived,<span class="keyword">typename</span> Lhs,<span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="keyword">typename</span> internal::enable_if<!internal::is_same<typename Derived::Scalar,typename Derived::RealScalar>::value,</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keyword">const</span> ScaledProduct<Derived> >::type</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>(<span class="keyword">const</span> <span class="keyword">typename</span> Derived::RealScalar& x,<span class="keyword">const</span> ProductBase<Derived,Lhs,Rhs>& prod)</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> { <span class="keywordflow">return</span> ScaledProduct<Derived>(prod.derived(), x); }</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="keyword">template</span><<span class="keyword">typename</span> NestedProduct></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="keyword">struct </span>traits<ScaledProduct<NestedProduct> ></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  : traits<ProductBase<ScaledProduct<NestedProduct>,</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  typename NestedProduct::_LhsNested,</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  typename NestedProduct::_RhsNested> ></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> {</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> traits<NestedProduct>::StorageKind StorageKind;</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> };</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> }</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="keyword">template</span><<span class="keyword">typename</span> NestedProduct></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> <span class="keyword">class </span>ScaledProduct</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  : <span class="keyword">public</span> ProductBase<ScaledProduct<NestedProduct>,</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  typename NestedProduct::_LhsNested,</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  typename NestedProduct::_RhsNested></div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> {</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keyword">typedef</span> ProductBase<ScaledProduct<NestedProduct>,</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keyword">typename</span> NestedProduct::_LhsNested,</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keyword">typename</span> NestedProduct::_RhsNested> Base;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Scalar Scalar;</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::PlainObject PlainObject;</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// EIGEN_PRODUCT_PUBLIC_INTERFACE(ScaledProduct)</span></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  ScaledProduct(<span class="keyword">const</span> NestedProduct& prod, <span class="keyword">const</span> Scalar& x)</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  : Base(prod.lhs(),prod.rhs()), m_prod(prod), m_alpha(x) {}</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> </div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> evalTo(Dest& dst)<span class="keyword"> const </span>{ dst.setZero(); scaleAndAddTo(dst, Scalar(1)); }</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> </div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> addTo(Dest& dst)<span class="keyword"> const </span>{ scaleAndAddTo(dst, Scalar(1)); }</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> </div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> subTo(Dest& dst)<span class="keyword"> const </span>{ scaleAndAddTo(dst, Scalar(-1)); }</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> scaleAndAddTo(Dest& dst, <span class="keyword">const</span> Scalar& a_alpha)<span class="keyword"> const </span>{ m_prod.derived().scaleAndAddTo(dst,a_alpha * m_alpha); }</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> </div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keyword">const</span> Scalar& alpha()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_alpha; }</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  </div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keyword">const</span> NestedProduct& m_prod;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  Scalar m_alpha;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> };</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> </div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="keyword">template</span><<span class="keyword">typename</span> ProductDerived, <span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> Derived& MatrixBase<Derived>::lazyAssign(<span class="keyword">const</span> ProductBase<ProductDerived, Lhs,Rhs>& other)</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> {</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  other.derived().evalTo(derived());</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keywordflow">return</span> derived();</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> }</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> </div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> </div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="preprocessor">#endif // EIGEN_PRODUCTBASE_H</span></div>
<div class="ttc" id="group__flags_html_gaf8ad6e2956f7368b8e3f7407e2319e63"><div class="ttname"><a href="group__flags.html#gaf8ad6e2956f7368b8e3f7407e2319e63">Eigen::EvalBeforeNestingBit</a></div><div class="ttdeci">const unsigned int EvalBeforeNestingBit</div><div class="ttdef"><b>Definition:</b> Constants.h:58</div></div>
<div class="ttc" id="namespaceEigen_html_a81fb70d0dc1c6deb42e9816647607247"><div class="ttname"><a href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">Eigen::operator*</a></div><div class="ttdeci">const internal::permut_matrix_product_retval< PermutationDerived, Derived, OnTheRight > operator*(const MatrixBase< Derived > &matrix, const PermutationBase< PermutationDerived > &permutation)</div><div class="ttdef"><b>Definition:</b> PermutationMatrix.h:510</div></div>
<div class="ttc" id="group__flags_html_gadc8925e67a5a54bd479d6f587112e19a"><div class="ttname"><a href="group__flags.html#gadc8925e67a5a54bd479d6f587112e19a">Eigen::EvalBeforeAssigningBit</a></div><div class="ttdeci">const unsigned int EvalBeforeAssigningBit</div><div class="ttdef"><b>Definition:</b> Constants.h:63</div></div>
<div class="ttc" id="group__flags_html_ga7bd49e7b260e869e10fb9dc4fd081a85"><div class="ttname"><a href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">Eigen::RowMajorBit</a></div><div class="ttdeci">const unsigned int RowMajorBit</div><div class="ttdef"><b>Definition:</b> Constants.h:53</div></div>
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