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<div class="title">Functors.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2008-2010 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<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>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_FUNCTORS_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define EIGEN_FUNCTORS_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span>Eigen {</div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">// associative functors:</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_sum_op {</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_sum_op)</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  EIGEN_STRONG_INLINE const Scalar operator() (const Scalar&amp; a, const Scalar&amp; b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a + b; }</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a, <span class="keyword">const</span> Packet&amp; b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::padd(a,b); }</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar predux(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::predux(a); }</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;};</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_sum_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::AddCost,</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasAdd</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  };</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;};</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> LhsScalar,<span class="keyword">typename</span> RhsScalar&gt; <span class="keyword">struct </span>scalar_product_op {</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="comment">// TODO vectorize mixed product</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    Vectorizable = is_same&lt;LhsScalar,RhsScalar&gt;::value &amp;&amp; packet_traits&lt;LhsScalar&gt;::HasMul &amp;&amp; packet_traits&lt;RhsScalar&gt;::HasMul</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  };</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> scalar_product_traits&lt;LhsScalar,RhsScalar&gt;::ReturnType result_type;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_product_op)</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;  EIGEN_STRONG_INLINE const result_type operator() (const LhsScalar&amp; a, const RhsScalar&amp; b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a * b; }</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a, <span class="keyword">const</span> Packet&amp; b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pmul(a,b); }</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> result_type predux(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::predux_mul(a); }</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;};</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> LhsScalar,<span class="keyword">typename</span> RhsScalar&gt;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_product_op&lt;LhsScalar,RhsScalar&gt; &gt; {</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    Cost = (NumTraits&lt;LhsScalar&gt;::MulCost + NumTraits&lt;RhsScalar&gt;::MulCost)/2, <span class="comment">// rough estimate!</span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    PacketAccess = scalar_product_op&lt;LhsScalar,RhsScalar&gt;::Vectorizable</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  };</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;};</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> LhsScalar,<span class="keyword">typename</span> RhsScalar&gt; <span class="keyword">struct </span>scalar_conj_product_op {</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    Conj = NumTraits&lt;LhsScalar&gt;::IsComplex</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  };</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  </div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> scalar_product_traits&lt;LhsScalar,RhsScalar&gt;::ReturnType result_type;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  </div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_conj_product_op)</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  EIGEN_STRONG_INLINE const result_type operator() (const LhsScalar&amp; a, const RhsScalar&amp; b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> conj_helper&lt;LhsScalar,RhsScalar,Conj,false&gt;().pmul(a,b); }</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;  </div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a, <span class="keyword">const</span> Packet&amp; b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> conj_helper&lt;Packet,Packet,Conj,false&gt;().pmul(a,b); }</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;};</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> LhsScalar,<span class="keyword">typename</span> RhsScalar&gt;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_conj_product_op&lt;LhsScalar,RhsScalar&gt; &gt; {</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    Cost = NumTraits&lt;LhsScalar&gt;::MulCost,</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    PacketAccess = internal::is_same&lt;LhsScalar, RhsScalar&gt;::value &amp;&amp; packet_traits&lt;LhsScalar&gt;::HasMul</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  };</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;};</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_min_op {</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_min_op)</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  EIGEN_STRONG_INLINE const Scalar operator() (const Scalar&amp; a, const Scalar&amp; b)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::min; <span class="keywordflow">return</span> (min)(a, b); }</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a, <span class="keyword">const</span> Packet&amp; b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pmin(a,b); }</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar predux(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::predux_min(a); }</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;};</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_min_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::AddCost,</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasMin</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;  };</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;};</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_max_op {</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_max_op)</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  EIGEN_STRONG_INLINE const Scalar operator() (const Scalar&amp; a, const Scalar&amp; b)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::max; <span class="keywordflow">return</span> (max)(a, b); }</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a, <span class="keyword">const</span> Packet&amp; b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pmax(a,b); }</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar predux(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::predux_max(a); }</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;};</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_max_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::AddCost,</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasMax</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;  };</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;};</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_hypot_op {</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_hypot_op)</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="comment">//   typedef typename NumTraits&lt;Scalar&gt;::Real result_type;</span></div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;  EIGEN_STRONG_INLINE const Scalar operator() (const Scalar&amp; _x, const Scalar&amp; _y)<span class="keyword"> const</span></div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <span class="keyword">using</span> std::max;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    <span class="keyword">using</span> std::min;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    <span class="keyword">using</span> std::sqrt;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    Scalar p = (max)(_x, _y);</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    Scalar q = (min)(_x, _y);</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    Scalar qp = q/p;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    <span class="keywordflow">return</span> p * sqrt(Scalar(1) + qp*qp);</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;  }</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;};</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_hypot_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;  <span class="keyword">enum</span> { Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess=0 };</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;};</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> OtherScalar&gt; <span class="keyword">struct </span>scalar_binary_pow_op {</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_binary_pow_op)</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  inline Scalar operator() (const Scalar&amp; a, const OtherScalar&amp; b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::pow(a, b); }</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;};</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> OtherScalar&gt;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_binary_pow_op&lt;Scalar,OtherScalar&gt; &gt; {</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;  <span class="keyword">enum</span> { Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = <span class="keyword">false</span> };</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;};</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;<span class="comment">// other binary functors:</span></div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_difference_op {</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_difference_op)</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;  EIGEN_STRONG_INLINE const Scalar operator() (const Scalar&amp; a, const Scalar&amp; b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a - b; }</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a, <span class="keyword">const</span> Packet&amp; b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::psub(a,b); }</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;};</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_difference_op&lt;Scalar&gt; &gt; {</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::AddCost,</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasSub</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  };</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;};</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> LhsScalar,<span class="keyword">typename</span> RhsScalar&gt; <span class="keyword">struct </span>scalar_quotient_op {</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;    <span class="comment">// TODO vectorize mixed product</span></div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;    Vectorizable = is_same&lt;LhsScalar,RhsScalar&gt;::value &amp;&amp; packet_traits&lt;LhsScalar&gt;::HasDiv &amp;&amp; packet_traits&lt;RhsScalar&gt;::HasDiv</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;  };</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> scalar_product_traits&lt;LhsScalar,RhsScalar&gt;::ReturnType result_type;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_quotient_op)</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;  EIGEN_STRONG_INLINE const result_type operator() (const LhsScalar&amp; a, const RhsScalar&amp; b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a / b; }</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a, <span class="keyword">const</span> Packet&amp; b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pdiv(a,b); }</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;};</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> LhsScalar,<span class="keyword">typename</span> RhsScalar&gt;</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_quotient_op&lt;LhsScalar,RhsScalar&gt; &gt; {</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;    Cost = (NumTraits&lt;LhsScalar&gt;::MulCost + NumTraits&lt;RhsScalar&gt;::MulCost), <span class="comment">// rough estimate!</span></div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;    PacketAccess = scalar_quotient_op&lt;LhsScalar,RhsScalar&gt;::Vectorizable</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;  };</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;};</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;<span class="keyword">struct </span>scalar_boolean_and_op {</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_boolean_and_op)</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  EIGEN_STRONG_INLINE <span class="keywordtype">bool</span> operator() (const <span class="keywordtype">bool</span>&amp; a, const <span class="keywordtype">bool</span>&amp; b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a &amp;&amp; b; }</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;};</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;<span class="keyword">template</span>&lt;&gt; <span class="keyword">struct </span>functor_traits&lt;scalar_boolean_and_op&gt; {</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;    Cost = NumTraits&lt;bool&gt;::AddCost,</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;    PacketAccess = <span class="keyword">false</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;  };</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;};</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;<span class="keyword">struct </span>scalar_boolean_or_op {</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_boolean_or_op)</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;  EIGEN_STRONG_INLINE <span class="keywordtype">bool</span> operator() (const <span class="keywordtype">bool</span>&amp; a, const <span class="keywordtype">bool</span>&amp; b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a || b; }</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;};</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;<span class="keyword">template</span>&lt;&gt; <span class="keyword">struct </span>functor_traits&lt;scalar_boolean_or_op&gt; {</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;    Cost = NumTraits&lt;bool&gt;::AddCost,</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;    PacketAccess = <span class="keyword">false</span></div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;  };</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;};</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;<span class="comment">// unary functors:</span></div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_opposite_op {</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_opposite_op)</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;  EIGEN_STRONG_INLINE const Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> -a; }</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pnegate(a); }</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;};</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_opposite_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;{ <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::AddCost,</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasNegate };</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;};</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_abs_op {</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_abs_op)</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;  typedef typename NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;  EIGEN_STRONG_INLINE const result_type operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::abs; <span class="keywordflow">return</span> abs(a); }</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pabs(a); }</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;};</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_abs_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;{</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::AddCost,</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasAbs</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;  };</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;};</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_abs2_op {</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_abs2_op)</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;  typedef typename NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;  EIGEN_STRONG_INLINE const result_type operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::abs2(a); }</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pmul(a,a); }</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;};</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_abs2_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasAbs2 }; };</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_conjugate_op {</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_conjugate_op)</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;  EIGEN_STRONG_INLINE const Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keyword">using</span> numext::conj; <span class="keywordflow">return</span> conj(a); }</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pconj(a); }</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;};</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_conjugate_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;{</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;    Cost = NumTraits&lt;Scalar&gt;::IsComplex ? NumTraits&lt;Scalar&gt;::AddCost : 0,</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasConj</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;  };</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;};</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> NewType&gt;</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;<span class="keyword">struct </span>scalar_cast_op {</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_cast_op)</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;  typedef NewType result_type;</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;  EIGEN_STRONG_INLINE const NewType operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> cast&lt;Scalar, NewType&gt;(a); }</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;};</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> NewType&gt;</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_cast_op&lt;Scalar,NewType&gt; &gt;</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;{ <span class="keyword">enum</span> { Cost = is_same&lt;Scalar, NewType&gt;::value ? 0 : NumTraits&lt;NewType&gt;::AddCost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;<span class="keyword">struct </span>scalar_real_op {</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_real_op)</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;  typedef typename NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;  EIGEN_STRONG_INLINE result_type operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::real(a); }</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;};</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_real_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;<span class="keyword">struct </span>scalar_imag_op {</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_imag_op)</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;  typedef typename NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;  EIGEN_STRONG_INLINE result_type operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::imag(a); }</div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;};</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_imag_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;<span class="keyword">struct </span>scalar_real_ref_op {</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_real_ref_op)</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;  typedef typename NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;  EIGEN_STRONG_INLINE result_type&amp; operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::real_ref(*const_cast&lt;Scalar*&gt;(&amp;a)); }</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;};</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_real_ref_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;<span class="keyword">struct </span>scalar_imag_ref_op {</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_imag_ref_op)</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;  typedef typename NumTraits&lt;Scalar&gt;::Real result_type;</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;  EIGEN_STRONG_INLINE result_type&amp; operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::imag_ref(*const_cast&lt;Scalar*&gt;(&amp;a)); }</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;};</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_imag_ref_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_exp_op {</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_exp_op)</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;  inline const Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::exp; <span class="keywordflow">return</span> exp(a); }</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;  <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pexp(a); }</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;};</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_exp_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;{ <span class="keyword">enum</span> { Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasExp }; };</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_log_op {</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_log_op)</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;  inline const Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::log; <span class="keywordflow">return</span> log(a); }</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;  <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::plog(a); }</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;};</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_log_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;{ <span class="keyword">enum</span> { Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasLog }; };</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;<span class="comment">/* NOTE why doing the pset1() in packetOp *is* an optimization ?</span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;<span class="comment"> * indeed it seems better to declare m_other as a Packet and do the pset1() once</span></div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;<span class="comment"> * in the constructor. However, in practice:</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;<span class="comment"> *  - GCC does not like m_other as a Packet and generate a load every time it needs it</span></div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;<span class="comment"> *  - on the other hand GCC is able to moves the pset1() outside the loop :)</span></div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;<span class="comment"> *  - simpler code ;)</span></div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;<span class="comment"> * (ICC and gcc 4.4 seems to perform well in both cases, the issue is visible with y = a*x + b*y)</span></div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;<span class="keyword">struct </span>scalar_multiple_op {</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;  <span class="comment">// FIXME default copy constructors seems bugged with std::complex&lt;&gt;</span></div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;  EIGEN_STRONG_INLINE scalar_multiple_op(<span class="keyword">const</span> scalar_multiple_op&amp; other) : m_other(other.m_other) { }</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;  EIGEN_STRONG_INLINE scalar_multiple_op(<span class="keyword">const</span> Scalar&amp; other) : m_other(other) { }</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;  EIGEN_STRONG_INLINE Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a * m_other; }</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pmul(a, pset1&lt;Packet&gt;(m_other)); }</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;  <span class="keyword">typename</span> add_const_on_value_type&lt;typename NumTraits&lt;Scalar&gt;::Nested&gt;::type m_other;</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;};</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_multiple_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasMul }; };</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar1, <span class="keyword">typename</span> Scalar2&gt;</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;<span class="keyword">struct </span>scalar_multiple2_op {</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> scalar_product_traits&lt;Scalar1,Scalar2&gt;::ReturnType result_type;</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;  EIGEN_STRONG_INLINE scalar_multiple2_op(<span class="keyword">const</span> scalar_multiple2_op&amp; other) : m_other(other.m_other) { }</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;  EIGEN_STRONG_INLINE scalar_multiple2_op(<span class="keyword">const</span> Scalar2&amp; other) : m_other(other) { }</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;  EIGEN_STRONG_INLINE result_type operator() (<span class="keyword">const</span> Scalar1&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a * m_other; }</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;  <span class="keyword">typename</span> add_const_on_value_type&lt;typename NumTraits&lt;Scalar2&gt;::Nested&gt;::type m_other;</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;};</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar1,<span class="keyword">typename</span> Scalar2&gt;</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_multiple2_op&lt;Scalar1,Scalar2&gt; &gt;</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar1&gt;::MulCost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;<span class="keyword">struct </span>scalar_quotient1_op {</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;  <span class="comment">// FIXME default copy constructors seems bugged with std::complex&lt;&gt;</span></div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;  EIGEN_STRONG_INLINE scalar_quotient1_op(<span class="keyword">const</span> scalar_quotient1_op&amp; other) : m_other(other.m_other) { }</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;  EIGEN_STRONG_INLINE scalar_quotient1_op(<span class="keyword">const</span> Scalar&amp; other) : m_other(other) {}</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;  EIGEN_STRONG_INLINE Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a / m_other; }</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pdiv(a, pset1&lt;Packet&gt;(m_other)); }</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;  <span class="keyword">typename</span> add_const_on_value_type&lt;typename NumTraits&lt;Scalar&gt;::Nested&gt;::type m_other;</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;};</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_quotient1_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;{ <span class="keyword">enum</span> { Cost = 2 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasDiv }; };</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;<span class="comment">// nullary functors</span></div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;<span class="keyword">struct </span>scalar_constant_op {</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;  EIGEN_STRONG_INLINE scalar_constant_op(<span class="keyword">const</span> scalar_constant_op&amp; other) : m_other(other.m_other) { }</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;  EIGEN_STRONG_INLINE scalar_constant_op(<span class="keyword">const</span> Scalar&amp; other) : m_other(other) { }</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (Index, Index = 0)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_other; }</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(Index, Index = 0)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pset1&lt;Packet&gt;(m_other); }</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;  <span class="keyword">const</span> Scalar m_other;</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;};</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_constant_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;<span class="comment">// FIXME replace this packet test by a safe one</span></div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = packet_traits&lt;Scalar&gt;::Vectorizable, IsRepeatable = <span class="keyword">true</span> }; };</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_identity_op {</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_identity_op)</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;  template&lt;typename Index&gt;</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;  EIGEN_STRONG_INLINE const Scalar operator() (Index row, Index col)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> row==col ? Scalar(1) : Scalar(0); }</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;};</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_identity_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar&gt;::AddCost, PacketAccess = <span class="keyword">false</span>, IsRepeatable = <span class="keyword">true</span> }; };</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">bool</span> RandomAccess&gt; <span class="keyword">struct </span>linspaced_op_impl;</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;<span class="comment">// linear access for packet ops:</span></div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;<span class="comment">// 1) initialization</span></div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;<span class="comment">//   base = [low, ..., low] + ([step, ..., step] * [-size, ..., 0])</span></div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;<span class="comment">// 2) each step (where size is 1 for coeff access or PacketSize for packet access)</span></div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;<span class="comment">//   base += [size*step, ..., size*step]</span></div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;<span class="comment">// TODO: Perhaps it&#39;s better to initialize lazily (so not in the constructor but in packetOp)</span></div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;<span class="comment">//       in order to avoid the padd() in operator() ?</span></div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;<span class="keyword">struct </span>linspaced_op_impl&lt;Scalar,false&gt;</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;{</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;  linspaced_op_impl(<span class="keyword">const</span> Scalar&amp; low, <span class="keyword">const</span> Scalar&amp; step) :</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;  m_low(low), m_step(step),</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;  m_packetStep(pset1&lt;Packet&gt;(packet_traits&lt;Scalar&gt;::size*step)),</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;  m_base(padd(pset1&lt;Packet&gt;(low), pmul(pset1&lt;Packet&gt;(step),plset&lt;Scalar&gt;(-packet_traits&lt;Scalar&gt;::size)))) {}</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (Index i)<span class="keyword"> const </span></div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;<span class="keyword">  </span>{ </div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;    m_base = padd(m_base, pset1&lt;Packet&gt;(m_step));</div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;    <span class="keywordflow">return</span> m_low+Scalar(i)*m_step; </div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;  }</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(Index)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_base = padd(m_base,m_packetStep); }</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;  <span class="keyword">const</span> Scalar m_low;</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;  <span class="keyword">const</span> Scalar m_step;</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;  <span class="keyword">const</span> Packet m_packetStep;</div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;  <span class="keyword">mutable</span> Packet m_base;</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;};</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;</div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;<span class="comment">// random access for packet ops:</span></div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;<span class="comment">// 1) each step</span></div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;<span class="comment">//   [low, ..., low] + ( [step, ..., step] * ( [i, ..., i] + [0, ..., size] ) )</span></div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;<span class="keyword">struct </span>linspaced_op_impl&lt;Scalar,true&gt;</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;{</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;</div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;  linspaced_op_impl(<span class="keyword">const</span> Scalar&amp; low, <span class="keyword">const</span> Scalar&amp; step) :</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;  m_low(low), m_step(step),</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;  m_lowPacket(pset1&lt;Packet&gt;(m_low)), m_stepPacket(pset1&lt;Packet&gt;(m_step)), m_interPacket(plset&lt;Scalar&gt;(0)) {}</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;</div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (Index i)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_low+i*m_step; }</div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;</div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(Index i)<span class="keyword"> const</span></div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::padd(m_lowPacket, pmul(m_stepPacket, padd(pset1&lt;Packet&gt;(i),m_interPacket))); }</div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;</div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;  <span class="keyword">const</span> Scalar m_low;</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;  <span class="keyword">const</span> Scalar m_step;</div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;  <span class="keyword">const</span> Packet m_lowPacket;</div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;  <span class="keyword">const</span> Packet m_stepPacket;</div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;  <span class="keyword">const</span> Packet m_interPacket;</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;};</div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;<span class="comment">// ----- Linspace functor ----------------------------------------------------------------</span></div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;<span class="comment">// Forward declaration (we default to random access which does not really give</span></div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;<span class="comment">// us a speed gain when using packet access but it allows to use the functor in</span></div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;<span class="comment">// nested expressions).</span></div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">bool</span> RandomAccess = true&gt; <span class="keyword">struct </span>linspaced_op;</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">bool</span> RandomAccess&gt; <span class="keyword">struct </span>functor_traits&lt; linspaced_op&lt;Scalar,RandomAccess&gt; &gt;</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = packet_traits&lt;Scalar&gt;::HasSetLinear, IsRepeatable = <span class="keyword">true</span> }; };</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">bool</span> RandomAccess&gt; <span class="keyword">struct </span>linspaced_op</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;{</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;  linspaced_op(<span class="keyword">const</span> Scalar&amp; low, <span class="keyword">const</span> Scalar&amp; high, DenseIndex num_steps) : impl((num_steps==1 ? high : low), (num_steps==1 ? Scalar() : (high-low)/(num_steps-1))) {}</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;</div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (Index i)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> impl(i); }</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;  <span class="comment">// We need this function when assigning e.g. a RowVectorXd to a MatrixXd since</span></div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;  <span class="comment">// there row==0 and col is used for the actual iteration.</span></div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Scalar operator() (Index row, Index col)<span class="keyword"> const </span></div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;    eigen_assert(col==0 || row==0);</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;    <span class="keywordflow">return</span> impl(col + row);</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;  }</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(Index i)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> impl.packetOp(i); }</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;</div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;  <span class="comment">// We need this function when assigning e.g. a RowVectorXd to a MatrixXd since</span></div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;  <span class="comment">// there row==0 and col is used for the actual iteration.</span></div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Index&gt;</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> Packet packetOp(Index row, Index col)<span class="keyword"> const</span></div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;    eigen_assert(col==0 || row==0);</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;    <span class="keywordflow">return</span> impl.packetOp(col + row);</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;  }</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;</div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;  <span class="comment">// This proxy object handles the actual required temporaries, the different</span></div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;  <span class="comment">// implementations (random vs. sequential access) as well as the</span></div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;  <span class="comment">// correct piping to size 2/4 packet operations.</span></div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;  <span class="keyword">const</span> linspaced_op_impl&lt;Scalar,RandomAccess&gt; impl;</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;};</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;</div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;<span class="comment">// all functors allow linear access, except scalar_identity_op. So we fix here a quick meta</span></div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;<span class="comment">// to indicate whether a functor allows linear access, just always answering &#39;yes&#39; except for</span></div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;<span class="comment">// scalar_identity_op.</span></div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;<span class="comment">// FIXME move this to functor_traits adding a functor_default</span></div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Functor&gt; <span class="keyword">struct </span>functor_has_linear_access { <span class="keyword">enum</span> { ret = 1 }; };</div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>functor_has_linear_access&lt;scalar_identity_op&lt;Scalar&gt; &gt; { <span class="keyword">enum</span> { ret = 0 }; };</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;</div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;<span class="comment">// In Eigen, any binary op (Product, CwiseBinaryOp) require the Lhs and Rhs to have the same scalar type, except for multiplication</span></div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;<span class="comment">// where the mixing of different types is handled by scalar_product_traits</span></div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;<span class="comment">// In particular, real * complex&lt;real&gt; is allowed.</span></div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;<span class="comment">// FIXME move this to functor_traits adding a functor_default</span></div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Functor&gt; <span class="keyword">struct </span>functor_is_product_like { <span class="keyword">enum</span> { ret = 0 }; };</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> LhsScalar,<span class="keyword">typename</span> RhsScalar&gt; <span class="keyword">struct </span>functor_is_product_like&lt;scalar_product_op&lt;LhsScalar,RhsScalar&gt; &gt; { <span class="keyword">enum</span> { ret = 1 }; };</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> LhsScalar,<span class="keyword">typename</span> RhsScalar&gt; <span class="keyword">struct </span>functor_is_product_like&lt;scalar_conj_product_op&lt;LhsScalar,RhsScalar&gt; &gt; { <span class="keyword">enum</span> { ret = 1 }; };</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> LhsScalar,<span class="keyword">typename</span> RhsScalar&gt; <span class="keyword">struct </span>functor_is_product_like&lt;scalar_quotient_op&lt;LhsScalar,RhsScalar&gt; &gt; { <span class="keyword">enum</span> { ret = 1 }; };</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;</div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;<span class="comment">/* If you wonder why doing the pset1() in packetOp() is an optimization check scalar_multiple_op */</span></div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;<span class="keyword">struct </span>scalar_add_op {</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;  <span class="comment">// FIXME default copy constructors seems bugged with std::complex&lt;&gt;</span></div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;  <span class="keyword">inline</span> scalar_add_op(<span class="keyword">const</span> scalar_add_op&amp; other) : m_other(other.m_other) { }</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;  <span class="keyword">inline</span> scalar_add_op(<span class="keyword">const</span> Scalar&amp; other) : m_other(other) { }</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;  <span class="keyword">inline</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a + m_other; }</div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::padd(a, pset1&lt;Packet&gt;(m_other)); }</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;  <span class="keyword">const</span> Scalar m_other;</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;};</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_add_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar&gt;::AddCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasAdd }; };</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;</div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_sqrt_op {</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_sqrt_op)</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;  inline const Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::sqrt; <span class="keywordflow">return</span> sqrt(a); }</div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;  <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::psqrt(a); }</div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;};</div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_sqrt_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;{ <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasSqrt</div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;  };</div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;};</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_cos_op {</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_cos_op)</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;  inline Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::cos; <span class="keywordflow">return</span> cos(a); }</div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;  <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pcos(a); }</div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;};</div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_cos_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;{</div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasCos</div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;  };</div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;};</div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_sin_op {</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_sin_op)</div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;  inline const Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::sin; <span class="keywordflow">return</span> sin(a); }</div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;  <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::psin(a); }</div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;};</div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_sin_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;{</div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasSin</div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;  };</div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;};</div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;</div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_tan_op {</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_tan_op)</div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;  inline const Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::tan; <span class="keywordflow">return</span> tan(a); }</div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;  <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::ptan(a); }</div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;};</div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_tan_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;{</div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasTan</div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;  };</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;};</div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_acos_op {</div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_acos_op)</div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;  inline const Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::acos; <span class="keywordflow">return</span> acos(a); }</div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;  <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pacos(a); }</div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;};</div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_acos_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;{</div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasACos</div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;  };</div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;};</div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;</div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt; <span class="keyword">struct </span>scalar_asin_op {</div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_asin_op)</div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;  inline const Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::asin; <span class="keywordflow">return</span> asin(a); }</div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> packet_traits&lt;Scalar&gt;::type Packet;</div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;  <span class="keyword">inline</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> internal::pasin(a); }</div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;};</div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_asin_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;{</div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;    Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost,</div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;    PacketAccess = packet_traits&lt;Scalar&gt;::HasASin</div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;  };</div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;};</div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;</div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;<span class="keyword">struct </span>scalar_pow_op {</div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;  <span class="comment">// FIXME default copy constructors seems bugged with std::complex&lt;&gt;</span></div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;  <span class="keyword">inline</span> scalar_pow_op(<span class="keyword">const</span> scalar_pow_op&amp; other) : m_exponent(other.m_exponent) { }</div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;  <span class="keyword">inline</span> scalar_pow_op(<span class="keyword">const</span> Scalar&amp; exponent) : m_exponent(exponent) {}</div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;  <span class="keyword">inline</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> numext::pow(a, m_exponent); }</div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;  <span class="keyword">const</span> Scalar m_exponent;</div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;};</div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_pow_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;{ <span class="keyword">enum</span> { Cost = 5 * NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;</div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;<span class="keyword">struct </span>scalar_inverse_mult_op {</div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;  scalar_inverse_mult_op(<span class="keyword">const</span> Scalar&amp; other) : m_other(other) {}</div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;  <span class="keyword">inline</span> Scalar operator() (<span class="keyword">const</span> Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_other / a; }</div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pdiv(pset1&lt;Packet&gt;(m_other),a); }</div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;  Scalar m_other;</div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;};</div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;</div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;<span class="keyword">struct </span>scalar_inverse_op {</div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_inverse_op)</div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160;  inline Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> Scalar(1)/a; }</div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pdiv(pset1&lt;Packet&gt;(Scalar(1)),a); }</div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;};</div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_inverse_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasDiv }; };</div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;</div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;<span class="keyword">struct </span>scalar_square_op {</div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_square_op)</div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;  inline Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a*a; }</div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pmul(a,a); }</div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;};</div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_square_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasMul }; };</div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;</div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;<span class="keyword">struct </span>scalar_cube_op {</div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;  EIGEN_EMPTY_STRUCT_CTOR(scalar_cube_op)</div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;  inline Scalar operator() (const Scalar&amp; a)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a*a*a; }</div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Packet&gt;</div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> Packet packetOp(<span class="keyword">const</span> Packet&amp; a)<span class="keyword"> const</span></div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::pmul(a,pmul(a,a)); }</div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;};</div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar&gt;</div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;<span class="keyword">struct </span>functor_traits&lt;scalar_cube_op&lt;Scalar&gt; &gt;</div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;{ <span class="keyword">enum</span> { Cost = 2*NumTraits&lt;Scalar&gt;::MulCost, PacketAccess = packet_traits&lt;Scalar&gt;::HasMul }; };</div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;</div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160;<span class="comment">// default functor traits for STL functors:</span></div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;</div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::multiplies&lt;T&gt; &gt;</div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;T&gt;::MulCost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;</div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::divides&lt;T&gt; &gt;</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;T&gt;::MulCost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::plus&lt;T&gt; &gt;</div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;T&gt;::AddCost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;</div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::minus&lt;T&gt; &gt;</div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;T&gt;::AddCost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;</div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::negate&lt;T&gt; &gt;</div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;{ <span class="keyword">enum</span> { Cost = NumTraits&lt;T&gt;::AddCost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;</div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::logical_or&lt;T&gt; &gt;</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;</div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::logical_and&lt;T&gt; &gt;</div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::logical_not&lt;T&gt; &gt;</div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;</div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::greater&lt;T&gt; &gt;</div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::less&lt;T&gt; &gt;</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;</div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::greater_equal&lt;T&gt; &gt;</div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;</div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::less_equal&lt;T&gt; &gt;</div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160;</div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::equal_to&lt;T&gt; &gt;</div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;</div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::not_equal_to&lt;T&gt; &gt;</div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;{ <span class="keyword">enum</span> { Cost = 1, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;</div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::binder2nd&lt;T&gt; &gt;</div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;{ <span class="keyword">enum</span> { Cost = functor_traits&lt;T&gt;::Cost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;</div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::binder1st&lt;T&gt; &gt;</div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;{ <span class="keyword">enum</span> { Cost = functor_traits&lt;T&gt;::Cost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;</div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::unary_negate&lt;T&gt; &gt;</div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160;{ <span class="keyword">enum</span> { Cost = 1 + functor_traits&lt;T&gt;::Cost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;</div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::binary_negate&lt;T&gt; &gt;</div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;{ <span class="keyword">enum</span> { Cost = 1 + functor_traits&lt;T&gt;::Cost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;</div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;<span class="preprocessor">#ifdef EIGEN_STDEXT_SUPPORT</span></div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T0,<span class="keyword">typename</span> T1&gt;</div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::project1st&lt;T0,T1&gt; &gt;</div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;</div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T0,<span class="keyword">typename</span> T1&gt;</div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::project2nd&lt;T0,T1&gt; &gt;</div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;</div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T0,<span class="keyword">typename</span> T1&gt;</div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::select2nd&lt;std::pair&lt;T0,T1&gt; &gt; &gt;</div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;</div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T0,<span class="keyword">typename</span> T1&gt;</div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::select1st&lt;std::pair&lt;T0,T1&gt; &gt; &gt;</div>
<div class="line"><a name="l00963"></a><span class="lineno">  963</span>&#160;{ <span class="keyword">enum</span> { Cost = 0, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00964"></a><span class="lineno">  964</span>&#160;</div>
<div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T0,<span class="keyword">typename</span> T1&gt;</div>
<div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::unary_compose&lt;T0,T1&gt; &gt;</div>
<div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160;{ <span class="keyword">enum</span> { Cost = functor_traits&lt;T0&gt;::Cost + functor_traits&lt;T1&gt;::Cost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160;</div>
<div class="line"><a name="l00969"></a><span class="lineno">  969</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T0,<span class="keyword">typename</span> T1,<span class="keyword">typename</span> T2&gt;</div>
<div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160;<span class="keyword">struct </span>functor_traits&lt;std::binary_compose&lt;T0,T1,T2&gt; &gt;</div>
<div class="line"><a name="l00971"></a><span class="lineno">  971</span>&#160;{ <span class="keyword">enum</span> { Cost = functor_traits&lt;T0&gt;::Cost + functor_traits&lt;T1&gt;::Cost + functor_traits&lt;T2&gt;::Cost, PacketAccess = <span class="keyword">false</span> }; };</div>
<div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160;</div>
<div class="line"><a name="l00973"></a><span class="lineno">  973</span>&#160;<span class="preprocessor">#endif // EIGEN_STDEXT_SUPPORT</span></div>
<div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00975"></a><span class="lineno">  975</span>&#160;<span class="comment">// allow to add new functors and specializations of functor_traits from outside Eigen.</span></div>
<div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160;<span class="comment">// this macro is really needed because functor_traits must be specialized after it is declared but before it is used...</span></div>
<div class="line"><a name="l00977"></a><span class="lineno">  977</span>&#160;<span class="preprocessor">#ifdef EIGEN_FUNCTORS_PLUGIN</span></div>
<div class="line"><a name="l00978"></a><span class="lineno">  978</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#include EIGEN_FUNCTORS_PLUGIN</span></div>
<div class="line"><a name="l00979"></a><span class="lineno">  979</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160;</div>
<div class="line"><a name="l00983"></a><span class="lineno">  983</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00984"></a><span class="lineno">  984</span>&#160;</div>
<div class="line"><a name="l00985"></a><span class="lineno">  985</span>&#160;<span class="preprocessor">#endif // EIGEN_FUNCTORS_H</span></div>
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