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<div class="title">XprHelper.h</div> </div>
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<div class="contents">
<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) 2008 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com></span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</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="l00009"></a><span class="lineno"> 9</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="l00010"></a><span class="lineno"> 10</span> </div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#ifndef EIGEN_XPRHELPER_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_XPRHELPER_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// just a workaround because GCC seems to not really like empty structs</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">// FIXME: gcc 4.3 generates bad code when strict-aliasing is enabled</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">// so currently we simply disable this optimization for gcc 4.3</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#if (defined __GNUG__) && !((__GNUC__==4) && (__GNUC_MINOR__==3))</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor"></span><span class="preprocessor"> #define EIGEN_EMPTY_STRUCT_CTOR(X) \</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor"> EIGEN_STRONG_INLINE X() {} \</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor"> EIGEN_STRONG_INLINE X(const X& ) {}</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor"></span><span class="preprocessor">#else</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor"></span><span class="preprocessor"> #define EIGEN_EMPTY_STRUCT_CTOR(X)</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">namespace </span>Eigen {</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="keyword">typedef</span> EIGEN_DEFAULT_DENSE_INDEX_TYPE DenseIndex;</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">namespace </span>internal {</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">//classes inheriting no_assignment_operator don't generate a default operator=.</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">class </span>no_assignment_operator</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keyword">private</span>:</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  no_assignment_operator& operator=(<span class="keyword">const</span> no_assignment_operator&);</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> };</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">template</span><<span class="keyword">typename</span> I1, <span class="keyword">typename</span> I2></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">struct </span>promote_index_type</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> conditional<(sizeof(I1)<sizeof(I2)), I2, I1>::type type;</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="l00049"></a><span class="lineno"> 49</span> <span class="keyword">template</span><<span class="keyword">typename</span> T, <span class="keywordtype">int</span> Value> <span class="keyword">class </span>variable_if_dynamic</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> {</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  EIGEN_EMPTY_STRUCT_CTOR(variable_if_dynamic)</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  explicit variable_if_dynamic(T v) { EIGEN_ONLY_USED_FOR_DEBUG(v); assert(v == T(Value)); }</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">static</span> T value() { <span class="keywordflow">return</span> T(Value); }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordtype">void</span> setValue(T) {}</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> };</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">class </span>variable_if_dynamic<T, <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> {</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  T m_value;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  variable_if_dynamic() { assert(<span class="keyword">false</span>); }</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">explicit</span> variable_if_dynamic(T value) : m_value(value) {}</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  T value()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value; }</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordtype">void</span> setValue(T value) { m_value = value; }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> };</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="keyword">template</span><<span class="keyword">typename</span> T, <span class="keywordtype">int</span> Value> <span class="keyword">class </span>variable_if_dynamicindex</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> {</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  EIGEN_EMPTY_STRUCT_CTOR(variable_if_dynamicindex)</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  explicit variable_if_dynamicindex(T v) { EIGEN_ONLY_USED_FOR_DEBUG(v); assert(v == T(Value)); }</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keyword">static</span> T value() { <span class="keywordflow">return</span> T(Value); }</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordtype">void</span> setValue(T) {}</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> };</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">class </span>variable_if_dynamicindex<T, <a class="code" href="namespaceEigen.html#abaee3972025110fb68546b12092203c0">DynamicIndex</a>></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  T m_value;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  variable_if_dynamicindex() { assert(<span class="keyword">false</span>); }</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">explicit</span> variable_if_dynamicindex(T value) : m_value(value) {}</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  T value()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value; }</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordtype">void</span> setValue(T value) { m_value = value; }</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> };</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">struct </span>functor_traits</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keyword">enum</span></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>  Cost = 10,</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  PacketAccess = <span class="keyword">false</span>,</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  IsRepeatable = <span class="keyword">false</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> </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">struct </span>packet_traits;</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> T> <span class="keyword">struct </span>unpacket_traits</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> {</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">typedef</span> T type;</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">enum</span> {size=1};</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> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">template</span><<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _Rows, <span class="keywordtype">int</span> _Cols,</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordtype">int</span> _Options = <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda02a97bb4792f98916a1156a521fa9813">AutoAlign</a> |</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  ( (_Rows==1 && _Cols!=1) ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  : (_Cols==1 && _Rows!=1) ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  : EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION ),</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordtype">int</span> _MaxRows = _Rows,</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordtype">int</span> _MaxCols = _Cols</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> > <span class="keyword">class</span> make_proper_matrix_type</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="keyword">enum</span> {</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  IsColVector = _Cols==1 && _Rows!=1,</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  IsRowVector = _Rows==1 && _Cols!=1,</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  Options = IsColVector ? (_Options | <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>) & ~<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  : IsRowVector ? (_Options | <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a>) & ~<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  : _Options</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="keyword">public</span>:</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">typedef</span> Matrix<_Scalar, _Rows, _Cols, Options, _MaxRows, _MaxCols> type;</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> </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Rows, <span class="keywordtype">int</span> Cols, <span class="keywordtype">int</span> Options, <span class="keywordtype">int</span> MaxRows, <span class="keywordtype">int</span> MaxCols></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">class </span>compute_matrix_flags</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  row_major_bit = Options&<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> ? <a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a> : 0,</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  is_dynamic_size_storage = MaxRows==<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> || MaxCols==<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>,</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>  aligned_bit =</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  (</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  ((Options&<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda761c0504a518c7450ed6dfe9eaeab8a6">DontAlign</a>)==0)</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  && (</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="preprocessor">#if EIGEN_ALIGN_STATICALLY</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="preprocessor"></span> ((!is_dynamic_size_storage) && (((MaxCols*MaxRows*<span class="keywordtype">int</span>(<span class="keyword">sizeof</span>(Scalar))) % 16) == 0))</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> #<span class="keywordflow">else</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  0</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> #endif</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  ||</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> #<span class="keywordflow">if</span> EIGEN_ALIGN</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  is_dynamic_size_storage</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> #<span class="keywordflow">else</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  0</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> #endif</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  )</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  ) ? <a class="code" href="group__flags.html#ga972a2dcb6603215fa53e0b9e82051426">AlignedBit</a> : 0,</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  packet_access_bit = packet_traits<Scalar>::Vectorizable && aligned_bit ? <a class="code" href="group__flags.html#gaa780614dc11271c147db56e9c1524e76">PacketAccessBit</a> : 0</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  };</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keyword">enum</span> { ret = <a class="code" href="group__flags.html#gab9799bf6feed77fc9fce0136ee55b99c">LinearAccessBit</a> | <a class="code" href="group__flags.html#ga64e21b7543bdedce27f013512a4403a3">LvalueBit</a> | <a class="code" href="group__flags.html#ga54c3b872f5a14e7e0d3d6539b704ea67">DirectAccessBit</a> | NestByRefBit | packet_access_bit | row_major_bit | aligned_bit };</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> };</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> <span class="keyword">template</span><<span class="keywordtype">int</span> _Rows, <span class="keywordtype">int</span> _Cols> <span class="keyword">struct </span>size_at_compile_time</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> {</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keyword">enum</span> { ret = (_Rows==<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> || _Cols==<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>) ? <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> : _Rows * _Cols };</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> };</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="comment">/* plain_matrix_type : the difference from eval is that plain_matrix_type is always a plain matrix type,</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment"> * whereas eval is a const reference in the case of a matrix</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> template<typename T, typename StorageKind = typename traits<T>::StorageKind> <span class="keyword">struct </span>plain_matrix_type;</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">template</span><<span class="keyword">typename</span> T, <span class="keyword">typename</span> BaseClassType> <span class="keyword">struct </span>plain_matrix_type_dense;</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">struct </span>plain_matrix_type<T,Dense></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>  <span class="keyword">typedef</span> <span class="keyword">typename</span> plain_matrix_type_dense<T,typename traits<T>::XprKind>::type type;</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="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">struct </span>plain_matrix_type_dense<T,MatrixXpr></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> {</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keyword">typedef</span> Matrix<typename traits<T>::Scalar,</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  traits<T>::RowsAtCompileTime,</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  traits<T>::ColsAtCompileTime,</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda02a97bb4792f98916a1156a521fa9813">AutoAlign</a> | (traits<T>::Flags&<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a> ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> : <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>),</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  traits<T>::MaxRowsAtCompileTime,</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  traits<T>::MaxColsAtCompileTime</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  > type;</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> </div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">struct </span>plain_matrix_type_dense<T,ArrayXpr></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="keyword">typedef</span> Array<typename traits<T>::Scalar,</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  traits<T>::RowsAtCompileTime,</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  traits<T>::ColsAtCompileTime,</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda02a97bb4792f98916a1156a521fa9813">AutoAlign</a> | (traits<T>::Flags&<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a> ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> : <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>),</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  traits<T>::MaxRowsAtCompileTime,</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  traits<T>::MaxColsAtCompileTime</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  > type;</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> };</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment">/* eval : the return type of eval(). For matrices, this is just a const reference</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="comment"> * in order to avoid a useless copy</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> </div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> template<typename T, typename StorageKind = typename traits<T>::StorageKind> <span class="keyword">struct </span>eval;</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> </div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">struct </span>eval<T,Dense></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>  <span class="keyword">typedef</span> <span class="keyword">typename</span> plain_matrix_type<T>::type type;</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="comment">// typedef typename T::PlainObject type;</span></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="comment">// typedef T::Matrix<typename traits<T>::Scalar,</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="comment">// traits<T>::RowsAtCompileTime,</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// traits<T>::ColsAtCompileTime,</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="comment">// AutoAlign | (traits<T>::Flags&RowMajorBit ? RowMajor : ColMajor),</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="comment">// traits<T>::MaxRowsAtCompileTime,</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="comment">// traits<T>::MaxColsAtCompileTime</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="comment">// > type;</span></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> };</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="comment">// for matrices, no need to evaluate, just use a const reference to avoid a useless copy</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="keyword">template</span><<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _Rows, <span class="keywordtype">int</span> _Cols, <span class="keywordtype">int</span> _Options, <span class="keywordtype">int</span> _MaxRows, <span class="keywordtype">int</span> _MaxCols></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="keyword">struct </span>eval<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols>, Dense></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> {</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keyword">typedef</span> <span class="keyword">const</span> Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols>& type;</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> };</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> </div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="keyword">template</span><<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _Rows, <span class="keywordtype">int</span> _Cols, <span class="keywordtype">int</span> _Options, <span class="keywordtype">int</span> _MaxRows, <span class="keywordtype">int</span> _MaxCols></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="keyword">struct </span>eval<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols>, Dense></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>  <span class="keyword">typedef</span> <span class="keyword">const</span> Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols>& type;</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> </div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> </div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> </div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> <span class="comment">/* plain_matrix_type_column_major : same as plain_matrix_type but guaranteed to be column-major</span></div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">struct </span>plain_matrix_type_column_major</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> {</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keyword">enum</span> { Rows = traits<T>::RowsAtCompileTime,</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  Cols = traits<T>::ColsAtCompileTime,</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  MaxRows = traits<T>::MaxRowsAtCompileTime,</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  MaxCols = traits<T>::MaxColsAtCompileTime</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  };</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keyword">typedef</span> Matrix<typename traits<T>::Scalar,</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  Rows,</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  Cols,</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  (MaxRows==1&&MaxCols!=1) ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> : <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>,</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  MaxRows,</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  MaxCols</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  > type;</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> </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="comment">/* plain_matrix_type_row_major : same as plain_matrix_type but guaranteed to be row-major</span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">struct </span>plain_matrix_type_row_major</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> {</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keyword">enum</span> { Rows = traits<T>::RowsAtCompileTime,</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  Cols = traits<T>::ColsAtCompileTime,</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  MaxRows = traits<T>::MaxRowsAtCompileTime,</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  MaxCols = traits<T>::MaxColsAtCompileTime</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  };</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keyword">typedef</span> Matrix<typename traits<T>::Scalar,</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  Rows,</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  Cols,</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  (MaxCols==1&&MaxRows!=1) ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> : <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>,</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  MaxRows,</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  MaxCols</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  > type;</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> };</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="comment">// we should be able to get rid of this one too</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">struct </span>must_nest_by_value { <span class="keyword">enum</span> { ret = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> </div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="keyword">struct </span>ref_selector</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="keyword">typedef</span> <span class="keyword">typename</span> conditional<</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  bool(traits<T>::Flags & NestByRefBit),</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  T <span class="keyword">const</span>&,</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keyword">const</span> T</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  >::type type;</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> };</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> </div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="keyword">template</span><<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="keyword">struct </span>transfer_constness</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> {</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> conditional<</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  bool(internal::is_const<T1>::value),</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keyword">typename</span> internal::add_const_on_value_type<T2>::type,</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  T2</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  >::type type;</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> };</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> </div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> template<typename T, int n=1, typename PlainObject = typename eval<T>::type> <span class="keyword">struct </span>nested</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> {</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="comment">// for the purpose of this test, to keep it reasonably simple, we arbitrarily choose a value of Dynamic values.</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="comment">// the choice of 10000 makes it larger than any practical fixed value and even most dynamic values.</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="comment">// in extreme cases where these assumptions would be wrong, we would still at worst suffer performance issues</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="comment">// (poor choice of temporaries).</span></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="comment">// it's important that this value can still be squared without integer overflowing.</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  DynamicAsInteger = 10000,</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  ScalarReadCost = NumTraits<typename traits<T>::Scalar>::ReadCost,</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  ScalarReadCostAsInteger = ScalarReadCost == <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> ? int(DynamicAsInteger) : int(ScalarReadCost),</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  CoeffReadCost = traits<T>::CoeffReadCost,</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  CoeffReadCostAsInteger = CoeffReadCost == <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> ? int(DynamicAsInteger) : int(CoeffReadCost),</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  NAsInteger = n == <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> ? int(DynamicAsInteger) : n,</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  CostEvalAsInteger = (NAsInteger+1) * ScalarReadCostAsInteger + CoeffReadCostAsInteger,</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  CostNoEvalAsInteger = NAsInteger * CoeffReadCostAsInteger</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  };</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> </div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> conditional<</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  ( (int(traits<T>::Flags) & <a class="code" href="group__flags.html#gaf8ad6e2956f7368b8e3f7407e2319e63">EvalBeforeNestingBit</a>) ||</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordtype">int</span>(CostEvalAsInteger) < int(CostNoEvalAsInteger)</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  ),</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  PlainObject,</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keyword">typename</span> ref_selector<T>::type</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  >::type type;</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span> };</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> </div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> <span class="keyword">template</span><<span class="keyword">typename</span> T></div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span> T* const_cast_ptr(<span class="keyword">const</span> T* ptr)</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span> {</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keywordflow">return</span> <span class="keyword">const_cast<</span>T*<span class="keyword">></span>(ptr);</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> }</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> </div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> template<typename Derived, typename XprKind = typename traits<Derived>::XprKind></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="keyword">struct </span>dense_xpr_base</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> {</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <span class="comment">/* dense_xpr_base should only ever be used on dense expressions, thus falling either into the MatrixXpr or into the ArrayXpr cases */</span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> };</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> </div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived></div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="keyword">struct </span>dense_xpr_base<Derived, MatrixXpr></div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span> {</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keyword">typedef</span> MatrixBase<Derived> type;</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> };</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> </div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived></div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> <span class="keyword">struct </span>dense_xpr_base<Derived, ArrayXpr></div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span> {</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keyword">typedef</span> ArrayBase<Derived> type;</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> };</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> </div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived,<span class="keyword">typename</span> Scalar,<span class="keyword">typename</span> OtherScalar,</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordtype">bool</span> EnableIt = !is_same<Scalar,OtherScalar>::value ></div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> <span class="keyword">struct </span>special_scalar_op_base : <span class="keyword">public</span> DenseCoeffsBase<Derived></div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> {</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="comment">// dummy operator* so that the</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <span class="comment">// "using special_scalar_op_base::operator*" compiles</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="keywordtype">void</span> <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> };</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> </div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived,<span class="keyword">typename</span> Scalar,<span class="keyword">typename</span> OtherScalar></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> <span class="keyword">struct </span>special_scalar_op_base<Derived,Scalar,OtherScalar,true> : <span class="keyword">public</span> DenseCoeffsBase<Derived></div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> {</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <span class="keyword">const</span> CwiseUnaryOp<scalar_multiple2_op<Scalar,OtherScalar>, Derived></div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>(<span class="keyword">const</span> OtherScalar& scalar)<span class="keyword"> const</span></div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <span class="keywordflow">return</span> CwiseUnaryOp<scalar_multiple2_op<Scalar,OtherScalar>, Derived></div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  (*<span class="keyword">static_cast<</span><span class="keyword">const </span>Derived*<span class="keyword">></span>(<span class="keyword">this</span>), scalar_multiple2_op<Scalar,OtherScalar>(scalar));</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  }</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> </div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="keyword">inline</span> <span class="keyword">friend</span> <span class="keyword">const</span> CwiseUnaryOp<scalar_multiple2_op<Scalar,OtherScalar>, Derived></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>(<span class="keyword">const</span> OtherScalar& scalar, <span class="keyword">const</span> Derived& matrix)</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  { <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keyword">const </span>special_scalar_op_base&<span class="keyword">></span>(matrix).<span class="keyword">operator</span>*(scalar); }</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> };</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> </div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span> <span class="keyword">template</span><<span class="keyword">typename</span> XprType, <span class="keyword">typename</span> CastType> <span class="keyword">struct </span>cast_return_type</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> {</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> XprType::Scalar CurrentScalarType;</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> remove_all<CastType>::type _CastType;</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> _CastType::Scalar NewScalarType;</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> conditional<is_same<CurrentScalarType,NewScalarType>::value,</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="keyword">const</span> XprType&,CastType>::type type;</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> };</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> </div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="keyword">template</span> <<span class="keyword">typename</span> A, <span class="keyword">typename</span> B> <span class="keyword">struct </span>promote_storage_type;</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> </div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> <span class="keyword">template</span> <<span class="keyword">typename</span> A> <span class="keyword">struct </span>promote_storage_type<A,A></div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> {</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="keyword">typedef</span> A ret;</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> };</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> </div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span> <span class="keyword">template</span><<span class="keyword">typename</span> ExpressionType, <span class="keyword">typename</span> Scalar = <span class="keyword">typename</span> ExpressionType::Scalar></div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span> <span class="keyword">struct </span>plain_row_type</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span> {</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  <span class="keyword">typedef</span> Matrix<Scalar, 1, ExpressionType::ColsAtCompileTime,</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  ExpressionType::PlainObject::Options | <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a>, 1, ExpressionType::MaxColsAtCompileTime> MatrixRowType;</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keyword">typedef</span> Array<Scalar, 1, ExpressionType::ColsAtCompileTime,</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  ExpressionType::PlainObject::Options | <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a>, 1, ExpressionType::MaxColsAtCompileTime> ArrayRowType;</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> </div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> conditional<</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  is_same< typename traits<ExpressionType>::XprKind, MatrixXpr >::value,</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  MatrixRowType,</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  ArrayRowType </div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  >::type type;</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span> };</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span> </div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> <span class="keyword">template</span><<span class="keyword">typename</span> ExpressionType, <span class="keyword">typename</span> Scalar = <span class="keyword">typename</span> ExpressionType::Scalar></div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span> <span class="keyword">struct </span>plain_col_type</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> {</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="keyword">typedef</span> Matrix<Scalar, ExpressionType::RowsAtCompileTime, 1,</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  ExpressionType::PlainObject::Options & ~<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a>, ExpressionType::MaxRowsAtCompileTime, 1> MatrixColType;</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <span class="keyword">typedef</span> Array<Scalar, ExpressionType::RowsAtCompileTime, 1,</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  ExpressionType::PlainObject::Options & ~<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a>, ExpressionType::MaxRowsAtCompileTime, 1> ArrayColType;</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> </div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> conditional<</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  is_same< typename traits<ExpressionType>::XprKind, MatrixXpr >::value,</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  MatrixColType,</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  ArrayColType </div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  >::type type;</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span> };</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span> </div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span> <span class="keyword">template</span><<span class="keyword">typename</span> ExpressionType, <span class="keyword">typename</span> Scalar = <span class="keyword">typename</span> ExpressionType::Scalar></div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span> <span class="keyword">struct </span>plain_diag_type</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span> {</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keyword">enum</span> { diag_size = EIGEN_SIZE_MIN_PREFER_DYNAMIC(ExpressionType::RowsAtCompileTime, ExpressionType::ColsAtCompileTime),</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  max_diag_size = EIGEN_SIZE_MIN_PREFER_FIXED(ExpressionType::MaxRowsAtCompileTime, ExpressionType::MaxColsAtCompileTime)</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  };</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <span class="keyword">typedef</span> Matrix<Scalar, diag_size, 1, ExpressionType::PlainObject::Options & ~RowMajor, max_diag_size, 1> MatrixDiagType;</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  <span class="keyword">typedef</span> Array<Scalar, diag_size, 1, ExpressionType::PlainObject::Options & ~RowMajor, max_diag_size, 1> ArrayDiagType;</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span> </div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> conditional<</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  is_same< typename traits<ExpressionType>::XprKind, MatrixXpr >::value,</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  MatrixDiagType,</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  ArrayDiagType </div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  >::type type;</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span> };</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span> </div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span> <span class="keyword">template</span><<span class="keyword">typename</span> ExpressionType></div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> <span class="keyword">struct </span>is_lvalue</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span> {</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="keyword">enum</span> { value = !bool(is_const<ExpressionType>::value) &&</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  bool(traits<ExpressionType>::Flags & <a class="code" href="group__flags.html#ga64e21b7543bdedce27f013512a4403a3">LvalueBit</a>) };</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span> };</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span> </div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> </div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span> </div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span> <span class="preprocessor">#endif // EIGEN_XPRHELPER_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_abaee3972025110fb68546b12092203c0"><div class="ttname"><a href="namespaceEigen.html#abaee3972025110fb68546b12092203c0">Eigen::DynamicIndex</a></div><div class="ttdeci">const int DynamicIndex</div><div class="ttdef"><b>Definition:</b> Constants.h:26</div></div>
<div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">Eigen::RowMajor</a></div><div class="ttdef"><b>Definition:</b> Constants.h:266</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="namespaceEigen_html_adc9da5be31bdce40c25a92c27999c0e3"><div class="ttname"><a href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a></div><div class="ttdeci">const int Dynamic</div><div class="ttdef"><b>Definition:</b> Constants.h:21</div></div>
<div class="ttc" id="group__flags_html_gaa780614dc11271c147db56e9c1524e76"><div class="ttname"><a href="group__flags.html#gaa780614dc11271c147db56e9c1524e76">Eigen::PacketAccessBit</a></div><div class="ttdeci">const unsigned int PacketAccessBit</div><div class="ttdef"><b>Definition:</b> Constants.h:81</div></div>
<div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">Eigen::ColMajor</a></div><div class="ttdef"><b>Definition:</b> Constants.h:264</div></div>
<div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcda02a97bb4792f98916a1156a521fa9813"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda02a97bb4792f98916a1156a521fa9813">Eigen::AutoAlign</a></div><div class="ttdef"><b>Definition:</b> Constants.h:268</div></div>
<div class="ttc" id="group__flags_html_gab9799bf6feed77fc9fce0136ee55b99c"><div class="ttname"><a href="group__flags.html#gab9799bf6feed77fc9fce0136ee55b99c">Eigen::LinearAccessBit</a></div><div class="ttdeci">const unsigned int LinearAccessBit</div><div class="ttdef"><b>Definition:</b> Constants.h:117</div></div>
<div class="ttc" id="group__flags_html_ga64e21b7543bdedce27f013512a4403a3"><div class="ttname"><a href="group__flags.html#ga64e21b7543bdedce27f013512a4403a3">Eigen::LvalueBit</a></div><div class="ttdeci">const unsigned int LvalueBit</div><div class="ttdef"><b>Definition:</b> Constants.h:131</div></div>
<div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcda761c0504a518c7450ed6dfe9eaeab8a6"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda761c0504a518c7450ed6dfe9eaeab8a6">Eigen::DontAlign</a></div><div class="ttdef"><b>Definition:</b> Constants.h:270</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>
<div class="ttc" id="group__flags_html_ga54c3b872f5a14e7e0d3d6539b704ea67"><div class="ttname"><a href="group__flags.html#ga54c3b872f5a14e7e0d3d6539b704ea67">Eigen::DirectAccessBit</a></div><div class="ttdeci">const unsigned int DirectAccessBit</div><div class="ttdef"><b>Definition:</b> Constants.h:142</div></div>
<div class="ttc" id="group__flags_html_ga972a2dcb6603215fa53e0b9e82051426"><div class="ttname"><a href="group__flags.html#ga972a2dcb6603215fa53e0b9e82051426">Eigen::AlignedBit</a></div><div class="ttdeci">const unsigned int AlignedBit</div><div class="ttdef"><b>Definition:</b> Constants.h:147</div></div>
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