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<div class="title">AutoDiffScalar.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#ifndef EIGEN_AUTODIFF_SCALAR_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_AUTODIFF_SCALAR_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keyword">namespace </span>Eigen {</div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="keyword">template</span><<span class="keyword">typename</span> A, <span class="keyword">typename</span> B></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="keyword">struct </span>make_coherent_impl {</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(A&, B&) {}</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> };</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">// resize a to match b is a.size()==0, and conversely.</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="keyword">template</span><<span class="keyword">typename</span> A, <span class="keyword">typename</span> B></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="keywordtype">void</span> make_coherent(<span class="keyword">const</span> A& a, <span class="keyword">const</span> B&b)</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> {</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  make_coherent_impl<A,B>::run(a.const_cast_derived(), b.const_cast_derived());</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> }</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="keyword">template</span><<span class="keyword">typename</span> _DerType, <span class="keywordtype">bool</span> Enable> <span class="keyword">struct </span>auto_diff_special_op;</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">template</span><<span class="keyword">typename</span> _DerType></div>
<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="classEigen_1_1AutoDiffScalar.html"> 60</a></span> <span class="keyword">class </span><a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar</a></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  : <span class="keyword">public</span> internal::auto_diff_special_op</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <_DerType, !internal::is_same<typename internal::traits<typename internal::remove_all<_DerType>::type>::Scalar,</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  typename NumTraits<typename internal::traits<typename internal::remove_all<_DerType>::type>::Scalar>::Real>::value></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">typedef</span> internal::auto_diff_special_op</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <_DerType, !internal::is_same<typename internal::traits<typename internal::remove_all<_DerType>::type>::Scalar,</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keyword">typename</span> NumTraits<typename internal::traits<typename internal::remove_all<_DerType>::type>::Scalar>::Real>::value> Base;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::remove_all<_DerType>::type DerType;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<DerType>::Scalar Scalar;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits<Scalar>::Real Real;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">using</span> Base::operator+;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">using</span> Base::operator*;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc"> 77</a></span>  <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>() {}</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> </div>
<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="classEigen_1_1AutoDiffScalar.html#a21b42dd5bb572f0dbbb6c84fa39cefe1"> 81</a></span>  <a class="code" href="classEigen_1_1AutoDiffScalar.html#a21b42dd5bb572f0dbbb6c84fa39cefe1">AutoDiffScalar</a>(<span class="keyword">const</span> Scalar& value, <span class="keywordtype">int</span> nbDer, <span class="keywordtype">int</span> derNumber)</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  : m_value(value), m_derivatives(DerType::Zero(nbDer))</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  m_derivatives.coeffRef(derNumber) = Scalar(1);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  }</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno"><a class="line" href="classEigen_1_1AutoDiffScalar.html#a2e2b93d0821398f0d0900198a94364de"> 89</a></span>  <span class="comment">/*explicit*/</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a2e2b93d0821398f0d0900198a94364de">AutoDiffScalar</a>(<span class="keyword">const</span> Real& value)</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  : m_value(value)</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  {</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">if</span>(m_derivatives.size()>0)</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  m_derivatives.setZero();</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  }</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a name="l00097"></a><span class="lineno"><a class="line" href="classEigen_1_1AutoDiffScalar.html#a2110c8207fcb357e6669966276dcc91b"> 97</a></span>  <a class="code" href="classEigen_1_1AutoDiffScalar.html#a2110c8207fcb357e6669966276dcc91b">AutoDiffScalar</a>(<span class="keyword">const</span> Scalar& value, <span class="keyword">const</span> DerType& der)</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  : m_value(value), m_derivatives(der)</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  {}</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar<OtherDerType></a>& other)</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  : m_value(other.value()), m_derivatives(other.derivatives())</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  {}</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keyword">friend</span> std::ostream & operator << (std::ostream & s, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& a)</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordflow">return</span> s << a.value();</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  }</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& other)</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  : m_value(other.value()), m_derivatives(other.derivatives())</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  {}</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& operator=(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& other)</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  m_value = other.value();</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  m_derivatives = other.derivatives();</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& operator=(<span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& other)</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  {</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  m_value = other.value();</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  m_derivatives = other.derivatives();</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  }</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment">// inline operator const Scalar& () const { return m_value; }</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment">// inline operator Scalar& () { return m_value; }</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keyword">inline</span> <span class="keyword">const</span> Scalar& value()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value; }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keyword">inline</span> Scalar& value() { <span class="keywordflow">return</span> m_value; }</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keyword">inline</span> <span class="keyword">const</span> DerType& derivatives()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_derivatives; }</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keyword">inline</span> DerType& derivatives() { <span class="keywordflow">return</span> m_derivatives; }</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator< (<span class="keyword">const</span> Scalar& other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value < other; }</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator<=(<span class="keyword">const</span> Scalar& other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value <= other; }</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator> (<span class="keyword">const</span> Scalar& other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value > other; }</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator>=(<span class="keyword">const</span> Scalar& other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value >= other; }</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> Scalar& other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value == other; }</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> Scalar& other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value != other; }</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator< (<span class="keyword">const</span> Scalar& a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& b) { <span class="keywordflow">return</span> a < b.value(); }</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator<=(<span class="keyword">const</span> Scalar& a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& b) { <span class="keywordflow">return</span> a <= b.value(); }</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator> (<span class="keyword">const</span> Scalar& a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& b) { <span class="keywordflow">return</span> a > b.value(); }</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator>=(<span class="keyword">const</span> Scalar& a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& b) { <span class="keywordflow">return</span> a >= b.value(); }</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> Scalar& a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& b) { <span class="keywordflow">return</span> a == b.value(); }</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> Scalar& a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& b) { <span class="keywordflow">return</span> a != b.value(); }</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator< (const AutoDiffScalar<OtherDerType>& b) <span class="keyword">const</span> { <span class="keywordflow">return</span> m_value < b.value(); }</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator<=(const AutoDiffScalar<OtherDerType>& b) <span class="keyword">const</span> { <span class="keywordflow">return</span> m_value <= b.value(); }</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator> (<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value > b.value(); }</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator>=(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value >= b.value(); }</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value == b.value(); }</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType> <span class="keyword">inline</span> <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_value != b.value(); }</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<DerType&> operator+(<span class="keyword">const</span> Scalar& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">return</span> AutoDiffScalar<DerType&>(m_value + other, m_derivatives);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  }</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<DerType&> operator+(<span class="keyword">const</span> Scalar& a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& b)</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  {</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">return</span> AutoDiffScalar<DerType&>(a + b.value(), b.derivatives());</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  }</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment">// inline const AutoDiffScalar<DerType&> operator+(const Real& other) const</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment">// {</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// return AutoDiffScalar<DerType&>(m_value + other, m_derivatives);</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// }</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="comment">// friend inline const AutoDiffScalar<DerType&> operator+(const Real& a, const AutoDiffScalar& b)</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="comment">// {</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment">// return AutoDiffScalar<DerType&>(a + b.value(), b.derivatives());</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment">// }</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> </div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& operator+=(<span class="keyword">const</span> Scalar& other)</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  {</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  value() += other;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  }</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> </div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<CwiseBinaryOp<internal::scalar_sum_op<Scalar>,<span class="keyword">const</span> DerType,<span class="keyword">const</span> <span class="keyword">typename</span> internal::remove_all<OtherDerType>::type> ></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  operator+(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  internal::make_coherent(m_derivatives, other.derivatives());</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">return</span> AutoDiffScalar<CwiseBinaryOp<internal::scalar_sum_op<Scalar>,<span class="keyword">const</span> DerType,<span class="keyword">const</span> <span class="keyword">typename</span> internal::remove_all<OtherDerType>::type> >(</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  m_value + other.value(),</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  m_derivatives + other.derivatives());</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  }</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> </div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>&</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  operator+=(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& other)</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  {</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  (*this) = (*this) + other;</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  }</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<DerType&> operator-(<span class="keyword">const</span> Scalar& b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordflow">return</span> AutoDiffScalar<DerType&>(m_value - b, m_derivatives);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  }</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_opposite_op<Scalar>, <span class="keyword">const</span> DerType> ></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  operator-(<span class="keyword">const</span> Scalar& a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& b)</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  {</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordflow">return</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_opposite_op<Scalar>, <span class="keyword">const</span> DerType> ></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  (a - b.value(), -b.derivatives());</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  }</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& operator-=(<span class="keyword">const</span> Scalar& other)</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  {</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  value() -= other;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  }</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> </div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<CwiseBinaryOp<internal::scalar_difference_op<Scalar>, <span class="keyword">const</span> DerType,<span class="keyword">const</span> <span class="keyword">typename</span> internal::remove_all<OtherDerType>::type> ></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  operator-(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  internal::make_coherent(m_derivatives, other.derivatives());</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">return</span> AutoDiffScalar<CwiseBinaryOp<internal::scalar_difference_op<Scalar>, <span class="keyword">const</span> DerType,<span class="keyword">const</span> <span class="keyword">typename</span> internal::remove_all<OtherDerType>::type> >(</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  m_value - other.value(),</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  m_derivatives - other.derivatives());</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  }</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> </div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>&</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  operator-=(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& other)</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  {</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  *<span class="keyword">this</span> = *<span class="keyword">this</span> - other;</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  }</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> </div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_opposite_op<Scalar>, <span class="keyword">const</span> DerType> ></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  operator-()<span class="keyword"> const</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keywordflow">return</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_opposite_op<Scalar>, <span class="keyword">const</span> DerType> >(</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  -m_value,</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  -m_derivatives);</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  }</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> </div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType> ></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  operator*(<span class="keyword">const</span> Scalar& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">return</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType> >(</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  m_value * other,</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  (m_derivatives * other));</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  }</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType> ></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  operator*(<span class="keyword">const</span> Scalar& other, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& a)</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  {</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">return</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType> >(</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  a.value() * other,</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  a.derivatives() * other);</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  }</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> </div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="comment">// inline const AutoDiffScalar<typename CwiseUnaryOp<internal::scalar_multiple_op<Real>, DerType>::Type ></span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment">// operator*(const Real& other) const</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment">// {</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment">// return AutoDiffScalar<typename CwiseUnaryOp<internal::scalar_multiple_op<Real>, DerType>::Type >(</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="comment">// m_value * other,</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="comment">// (m_derivatives * other));</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="comment">// }</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="comment">//</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="comment">// friend inline const AutoDiffScalar<typename CwiseUnaryOp<internal::scalar_multiple_op<Real>, DerType>::Type ></span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="comment">// operator*(const Real& other, const AutoDiffScalar& a)</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="comment">// {</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="comment">// return AutoDiffScalar<typename CwiseUnaryOp<internal::scalar_multiple_op<Real>, DerType>::Type >(</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="comment">// a.value() * other,</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <span class="comment">// a.derivatives() * other);</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="comment">// }</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> </div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType> ></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  operator/(<span class="keyword">const</span> Scalar& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keywordflow">return</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType> >(</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  m_value / other,</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  (m_derivatives * (Scalar(1)/other)));</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  }</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> </div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType> ></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  operator/(<span class="keyword">const</span> Scalar& other, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& a)</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  {</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keywordflow">return</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType> >(</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  other / a.value(),</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  a.derivatives() * (Scalar(-other) / (a.value()*a.value())));</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  }</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> </div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="comment">// inline const AutoDiffScalar<typename CwiseUnaryOp<internal::scalar_multiple_op<Real>, DerType>::Type ></span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="comment">// operator/(const Real& other) const</span></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> <span class="comment">// {</span></div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="comment">// return AutoDiffScalar<typename CwiseUnaryOp<internal::scalar_multiple_op<Real>, DerType>::Type >(</span></div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> <span class="comment">// m_value / other,</span></div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> <span class="comment">// (m_derivatives * (Real(1)/other)));</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span> <span class="comment">// }</span></div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="comment">//</span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span> <span class="comment">// friend inline const AutoDiffScalar<typename CwiseUnaryOp<internal::scalar_multiple_op<Real>, DerType>::Type ></span></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> <span class="comment">// operator/(const Real& other, const AutoDiffScalar& a)</span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="comment">// {</span></div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> <span class="comment">// return AutoDiffScalar<typename CwiseUnaryOp<internal::scalar_multiple_op<Real>, DerType>::Type >(</span></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="comment">// other / a.value(),</span></div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> <span class="comment">// a.derivatives() * (-Real(1)/other));</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> <span class="comment">// }</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_multiple_op<Scalar>,</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keyword">const</span> CwiseBinaryOp<internal::scalar_difference_op<Scalar>,</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keyword">const</span> CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType>,</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keyword">const</span> CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> <span class="keyword">typename</span> internal::remove_all<OtherDerType>::type > > > ></div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  operator/(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  internal::make_coherent(m_derivatives, other.derivatives());</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keywordflow">return</span> AutoDiffScalar<CwiseUnaryOp<internal::scalar_multiple_op<Scalar>,</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keyword">const</span> CwiseBinaryOp<internal::scalar_difference_op<Scalar>,</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keyword">const</span> CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType>,</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keyword">const</span> CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> <span class="keyword">typename</span> internal::remove_all<OtherDerType>::type > > > >(</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  m_value / other.value(),</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  ((m_derivatives * other.value()) - (m_value * other.derivatives()))</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  * (Scalar(1)/(other.value()*other.value())));</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  }</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> </div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<CwiseBinaryOp<internal::scalar_sum_op<Scalar>,</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <span class="keyword">const</span> CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType>,</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <span class="keyword">const</span> CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> <span class="keyword">typename</span> internal::remove_all<OtherDerType>::type> > ></div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  operator*(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  internal::make_coherent(m_derivatives, other.derivatives());</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">return</span> AutoDiffScalar<const CwiseBinaryOp<internal::scalar_sum_op<Scalar>,</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="keyword">const</span> CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> DerType>,</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keyword">const</span> CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, <span class="keyword">const</span> <span class="keyword">typename</span> internal::remove_all<OtherDerType>::type > > >(</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  m_value * other.value(),</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  (m_derivatives * other.value()) + (m_value * other.derivatives()));</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  }</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> </div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& operator*=(<span class="keyword">const</span> Scalar& other)</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  {</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  *<span class="keyword">this</span> = *<span class="keyword">this</span> * other;</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  }</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> </div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& operator*=(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& other)</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  {</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  *<span class="keyword">this</span> = *<span class="keyword">this</span> * other;</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  }</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span> </div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& operator/=(<span class="keyword">const</span> Scalar& other)</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  {</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  *<span class="keyword">this</span> = *<span class="keyword">this</span> / other;</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  }</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> </div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherDerType></div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">AutoDiffScalar</a>& operator/=(<span class="keyword">const</span> AutoDiffScalar<OtherDerType>& other)</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  {</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  *<span class="keyword">this</span> = *<span class="keyword">this</span> / other;</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  }</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> </div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  Scalar m_value;</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  DerType m_derivatives;</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> </div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> };</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span> </div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> </div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> <span class="keyword">template</span><<span class="keyword">typename</span> _DerType></div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> <span class="keyword">struct </span>auto_diff_special_op<_DerType, true></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> <span class="comment">// : auto_diff_scalar_op<_DerType, typename NumTraits<Scalar>::Real,</span></div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> <span class="comment">// is_same<Scalar,typename NumTraits<Scalar>::Real>::value></span></div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> {</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> remove_all<_DerType>::type DerType;</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> traits<DerType>::Scalar Scalar;</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits<Scalar>::Real Real;</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> </div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span> <span class="comment">// typedef auto_diff_scalar_op<_DerType, typename NumTraits<Scalar>::Real,</span></div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> <span class="comment">// is_same<Scalar,typename NumTraits<Scalar>::Real>::value> Base;</span></div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> </div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span> <span class="comment">// using Base::operator+;</span></div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> <span class="comment">// using Base::operator+=;</span></div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> <span class="comment">// using Base::operator-;</span></div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> <span class="comment">// using Base::operator-=;</span></div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span> <span class="comment">// using Base::operator*;</span></div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> <span class="comment">// using Base::operator*=;</span></div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span> </div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keyword">const</span> AutoDiffScalar<_DerType>& derived()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> *<span class="keyword">static_cast<</span><span class="keyword">const </span>AutoDiffScalar<_DerType>*<span class="keyword">></span>(<span class="keyword">this</span>); }</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  AutoDiffScalar<_DerType>& derived() { <span class="keywordflow">return</span> *<span class="keyword">static_cast<</span>AutoDiffScalar<_DerType>*<span class="keyword">></span>(<span class="keyword">this</span>); }</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> </div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> </div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<DerType&> operator+(<span class="keyword">const</span> Real& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keywordflow">return</span> AutoDiffScalar<DerType&>(derived().value() + other, derived().derivatives());</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  }</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> </div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<DerType&> operator+(<span class="keyword">const</span> Real& a, <span class="keyword">const</span> AutoDiffScalar<_DerType>& b)</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  {</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <span class="keywordflow">return</span> AutoDiffScalar<DerType&>(a + b.value(), b.derivatives());</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  }</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> </div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="keyword">inline</span> AutoDiffScalar<_DerType>& operator+=(<span class="keyword">const</span> Real& other)</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  {</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  derived().value() += other;</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keywordflow">return</span> derived();</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  }</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span> </div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span> </div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<typename CwiseUnaryOp<scalar_multiple2_op<Scalar,Real>, DerType>::Type ></div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  operator*(<span class="keyword">const</span> Real& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="keywordflow">return</span> AutoDiffScalar<typename CwiseUnaryOp<scalar_multiple2_op<Scalar,Real>, DerType>::Type >(</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  derived().value() * other,</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  derived().derivatives() * other);</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  }</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span> </div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <span class="keyword">friend</span> <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<typename CwiseUnaryOp<scalar_multiple2_op<Scalar,Real>, DerType>::Type ></div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  operator*(<span class="keyword">const</span> Real& other, <span class="keyword">const</span> AutoDiffScalar<_DerType>& a)</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  {</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  <span class="keywordflow">return</span> AutoDiffScalar<typename CwiseUnaryOp<scalar_multiple2_op<Scalar,Real>, DerType>::Type >(</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  a.value() * other,</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  a.derivatives() * other);</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  }</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span> </div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  <span class="keyword">inline</span> AutoDiffScalar<_DerType>& operator*=(<span class="keyword">const</span> Scalar& other)</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  {</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  *<span class="keyword">this</span> = *<span class="keyword">this</span> * other;</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <span class="keywordflow">return</span> derived();</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  }</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span> };</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> </div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span> <span class="keyword">template</span><<span class="keyword">typename</span> _DerType></div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span> <span class="keyword">struct </span>auto_diff_special_op<_DerType, false></div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span> {</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <span class="keywordtype">void</span> operator*() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <span class="keywordtype">void</span> operator-() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keywordtype">void</span> operator+() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span> };</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span> </div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span> <span class="keyword">template</span><<span class="keyword">typename</span> A_Scalar, <span class="keywordtype">int</span> A_Rows, <span class="keywordtype">int</span> A_Cols, <span class="keywordtype">int</span> A_Options, <span class="keywordtype">int</span> A_MaxRows, <span class="keywordtype">int</span> A_MaxCols, <span class="keyword">typename</span> B></div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span> <span class="keyword">struct </span>make_coherent_impl<Matrix<A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols>, B> {</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <span class="keyword">typedef</span> Matrix<A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols> A;</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(A& a, B& b) {</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  <span class="keywordflow">if</span>((A_Rows==Dynamic || A_Cols==Dynamic) && (a.size()==0))</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  {</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  a.resize(b.size());</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  a.setZero();</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  }</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  }</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span> };</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> </div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span> <span class="keyword">template</span><<span class="keyword">typename</span> A, <span class="keyword">typename</span> B_Scalar, <span class="keywordtype">int</span> B_Rows, <span class="keywordtype">int</span> B_Cols, <span class="keywordtype">int</span> B_Options, <span class="keywordtype">int</span> B_MaxRows, <span class="keywordtype">int</span> B_MaxCols></div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span> <span class="keyword">struct </span>make_coherent_impl<A, Matrix<B_Scalar, B_Rows, B_Cols, B_Options, B_MaxRows, B_MaxCols> > {</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <span class="keyword">typedef</span> Matrix<B_Scalar, B_Rows, B_Cols, B_Options, B_MaxRows, B_MaxCols> B;</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(A& a, B& b) {</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <span class="keywordflow">if</span>((B_Rows==Dynamic || B_Cols==Dynamic) && (b.size()==0))</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  {</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  b.resize(a.size());</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  b.setZero();</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  }</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  }</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span> };</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span> </div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span> <span class="keyword">template</span><<span class="keyword">typename</span> A_Scalar, <span class="keywordtype">int</span> A_Rows, <span class="keywordtype">int</span> A_Cols, <span class="keywordtype">int</span> A_Options, <span class="keywordtype">int</span> A_MaxRows, <span class="keywordtype">int</span> A_MaxCols,</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <span class="keyword">typename</span> B_Scalar, <span class="keywordtype">int</span> B_Rows, <span class="keywordtype">int</span> B_Cols, <span class="keywordtype">int</span> B_Options, <span class="keywordtype">int</span> B_MaxRows, <span class="keywordtype">int</span> B_MaxCols></div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span> <span class="keyword">struct </span>make_coherent_impl<Matrix<A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols>,</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  Matrix<B_Scalar, B_Rows, B_Cols, B_Options, B_MaxRows, B_MaxCols> > {</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keyword">typedef</span> Matrix<A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols> A;</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <span class="keyword">typedef</span> Matrix<B_Scalar, B_Rows, B_Cols, B_Options, B_MaxRows, B_MaxCols> B;</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(A& a, B& b) {</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  <span class="keywordflow">if</span>((A_Rows==Dynamic || A_Cols==Dynamic) && (a.size()==0))</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  {</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  a.resize(b.size());</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  a.setZero();</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  }</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span>((B_Rows==Dynamic || B_Cols==Dynamic) && (b.size()==0))</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  {</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  b.resize(a.size());</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  b.setZero();</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  }</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  }</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span> };</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span> </div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span> <span class="keyword">template</span><<span class="keyword">typename</span> A_Scalar, <span class="keywordtype">int</span> A_Rows, <span class="keywordtype">int</span> A_Cols, <span class="keywordtype">int</span> A_Options, <span class="keywordtype">int</span> A_MaxRows, <span class="keywordtype">int</span> A_MaxCols></div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span> <span class="keyword">struct </span>scalar_product_traits<Matrix<A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols>,A_Scalar></div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span> {</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  <span class="keyword">enum</span> { Defined = 1 };</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <span class="keyword">typedef</span> Matrix<A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols> ReturnType;</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span> };</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span> </div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span> <span class="keyword">template</span><<span class="keyword">typename</span> A_Scalar, <span class="keywordtype">int</span> A_Rows, <span class="keywordtype">int</span> A_Cols, <span class="keywordtype">int</span> A_Options, <span class="keywordtype">int</span> A_MaxRows, <span class="keywordtype">int</span> A_MaxCols></div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span> <span class="keyword">struct </span>scalar_product_traits<A_Scalar, Matrix<A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols> ></div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span> {</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <span class="keyword">enum</span> { Defined = 1 };</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  <span class="keyword">typedef</span> Matrix<A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols> ReturnType;</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span> };</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span> </div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerType></div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span> <span class="keyword">struct </span>scalar_product_traits<AutoDiffScalar<DerType>,typename DerType::Scalar></div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span> {</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  <span class="keyword">enum</span> { Defined = 1 };</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="keyword">typedef</span> AutoDiffScalar<DerType> ReturnType;</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span> };</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span> </div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerType></div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span> <span class="keyword">struct </span>scalar_product_traits<typename DerType::Scalar,AutoDiffScalar<DerType> ></div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span> {</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  <span class="keyword">enum</span> { Defined = 1 };</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <span class="keyword">typedef</span> AutoDiffScalar<DerType> ReturnType;</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span> };</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span> </div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span> </div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span> <span class="preprocessor">#define EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(FUNC,CODE) \</span></div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span> <span class="preprocessor"> template<typename DerType> \</span></div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span> <span class="preprocessor"> inline const Eigen::AutoDiffScalar<Eigen::CwiseUnaryOp<Eigen::internal::scalar_multiple_op<typename Eigen::internal::traits<typename Eigen::internal::remove_all<DerType>::type>::Scalar>, const typename Eigen::internal::remove_all<DerType>::type> > \</span></div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span> <span class="preprocessor"> FUNC(const Eigen::AutoDiffScalar<DerType>& x) { \</span></div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span> <span class="preprocessor"> using namespace Eigen; \</span></div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span> <span class="preprocessor"> typedef typename Eigen::internal::traits<typename Eigen::internal::remove_all<DerType>::type>::Scalar Scalar; \</span></div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span> <span class="preprocessor"> typedef AutoDiffScalar<CwiseUnaryOp<Eigen::internal::scalar_multiple_op<Scalar>, const typename Eigen::internal::remove_all<DerType>::type> > ReturnType; \</span></div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span> <span class="preprocessor"> CODE; \</span></div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span> <span class="preprocessor"> }</span></div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerType></div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span> <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<DerType>& conj(<span class="keyword">const</span> AutoDiffScalar<DerType>& x) { <span class="keywordflow">return</span> x; }</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerType></div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span> <span class="keyword">inline</span> <span class="keyword">const</span> AutoDiffScalar<DerType>& real(<span class="keyword">const</span> AutoDiffScalar<DerType>& x) { <span class="keywordflow">return</span> x; }</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerType></div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span> <span class="keyword">inline</span> <span class="keyword">typename</span> DerType::Scalar imag(<span class="keyword">const</span> AutoDiffScalar<DerType>&) { <span class="keywordflow">return</span> 0.; }</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerType, <span class="keyword">typename</span> T></div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span> <span class="keyword">inline</span> AutoDiffScalar<DerType> (min)(<span class="keyword">const</span> AutoDiffScalar<DerType>& x, <span class="keyword">const</span> T& y) { <span class="keywordflow">return</span> (x <= y ? x : y); }</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerType, <span class="keyword">typename</span> T></div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span> <span class="keyword">inline</span> AutoDiffScalar<DerType> (max)(<span class="keyword">const</span> AutoDiffScalar<DerType>& x, <span class="keyword">const</span> T& y) { <span class="keywordflow">return</span> (x >= y ? x : y); }</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerType, <span class="keyword">typename</span> T></div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span> <span class="keyword">inline</span> AutoDiffScalar<DerType> (min)(<span class="keyword">const</span> T& x, <span class="keyword">const</span> AutoDiffScalar<DerType>& y) { <span class="keywordflow">return</span> (x < y ? x : y); }</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerType, <span class="keyword">typename</span> T></div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span> <span class="keyword">inline</span> AutoDiffScalar<DerType> (max)(<span class="keyword">const</span> T& x, <span class="keyword">const</span> AutoDiffScalar<DerType>& y) { <span class="keywordflow">return</span> (x > y ? x : y); }</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span> </div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span> EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(abs,</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  <span class="keyword">using</span> std::abs;</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <span class="keywordflow">return</span> ReturnType(abs(x.value()), x.derivatives() * (x.value()<0 ? -1 : 1) );)</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span> </div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span> EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(abs2,</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  <span class="keyword">using</span> numext::abs2;</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  <span class="keywordflow">return</span> ReturnType(abs2(x.value()), x.derivatives() * (Scalar(2)*x.value()));)</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span> </div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span> EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(sqrt,</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  <span class="keyword">using</span> std::sqrt;</div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  Scalar sqrtx = sqrt(x.value());</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <span class="keywordflow">return</span> ReturnType(sqrtx,x.derivatives() * (Scalar(0.5) / sqrtx));)</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span> </div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span> EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(cos,</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <span class="keyword">using</span> std::cos;</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  <span class="keyword">using</span> std::sin;</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  <span class="keywordflow">return</span> ReturnType(cos(x.value()), x.derivatives() * (-sin(x.value())));)</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span> </div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span> EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(sin,</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <span class="keyword">using</span> std::sin;</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <span class="keyword">using</span> std::cos;</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  <span class="keywordflow">return</span> ReturnType(sin(x.value()),x.derivatives() * cos(x.value()));)</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span> </div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span> EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(exp,</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  <span class="keyword">using</span> std::exp;</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  Scalar expx = exp(x.value());</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  <span class="keywordflow">return</span> ReturnType(expx,x.derivatives() * expx);)</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span> </div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span> EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(log,</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keyword">using</span> std::log;</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  <span class="keywordflow">return</span> ReturnType(log(x.value()),x.derivatives() * (Scalar(1)/x.value()));)</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span> </div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span> template<typename DerType></div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span> <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">Eigen::AutoDiffScalar</a><Eigen::CwiseUnaryOp<Eigen::internal::scalar_multiple_op<<span class="keyword">typename</span> Eigen::internal::traits<DerType>::Scalar>, <span class="keyword">const</span> DerType> ></div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span> pow(<span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">Eigen::AutoDiffScalar<DerType></a>& x, <span class="keyword">typename</span> Eigen::internal::traits<DerType>::Scalar y)</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span> {</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  <span class="keyword">using namespace </span>Eigen;</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Eigen::internal::traits<DerType>::Scalar Scalar;</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar<CwiseUnaryOp<Eigen::internal::scalar_multiple_op<Scalar></a>, <span class="keyword">const</span> DerType> >(</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  std::pow(x.value(),y),</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  x.derivatives() * (y * std::pow(x.value(),y-1)));</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span> }</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span> </div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span> </div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span> <span class="keyword">template</span><<span class="keyword">typename</span> DerTypeA,<span class="keyword">typename</span> DerTypeB></div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span> <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar<Matrix<typename internal::traits<DerTypeA>::Scalar</a>,Dynamic,1> ></div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span> atan2(<span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar<DerTypeA></a>& a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar<DerTypeB></a>& b)</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span> {</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  <span class="keyword">using</span> std::atan2;</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <span class="keyword">using</span> std::max;</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::traits<DerTypeA>::Scalar Scalar;</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar<Matrix<Scalar,Dynamic,1></a> > PlainADS;</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  PlainADS ret;</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  ret.value() = atan2(a.value(), b.value());</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  </div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  Scalar tmp2 = a.value() * a.value();</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  Scalar tmp3 = b.value() * b.value();</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  Scalar tmp4 = tmp3/(tmp2+tmp3);</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  </div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  <span class="keywordflow">if</span> (tmp4!=0)</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  ret.derivatives() = (a.derivatives() * b.value() - a.value() * b.derivatives()) * (tmp2+tmp3);</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span> </div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  <span class="keywordflow">return</span> ret;</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span> }</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span> </div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span> EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(tan,</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  <span class="keyword">using</span> std::tan;</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="keyword">using</span> std::cos;</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="keywordflow">return</span> ReturnType(tan(x.value()),x.derivatives() * (Scalar(1)/numext::abs2(cos(x.value()))));)</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span> </div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span> EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(asin,</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <span class="keyword">using</span> std::sqrt;</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  <span class="keyword">using</span> std::asin;</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  <span class="keywordflow">return</span> ReturnType(asin(x.value()),x.derivatives() * (Scalar(1)/sqrt(1-numext::abs2(x.value()))));)</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  </div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span> EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(acos,</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  <span class="keyword">using</span> std::sqrt;</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <span class="keyword">using</span> std::acos;</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  <span class="keywordflow">return</span> ReturnType(acos(x.value()),x.derivatives() * (Scalar(-1)/sqrt(1-numext::abs2(x.value()))));)</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span> </div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span> #undef EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span> </div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span> template<typename DerType> <span class="keyword">struct</span> NumTraits<<a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar<DerType></a> ></div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  : NumTraits< <span class="keyword">typename</span> NumTraits<typename DerType::Scalar>::Real ></div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span> {</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar<Matrix<typename NumTraits<typename DerType::Scalar>::Real</a>,DerType::RowsAtCompileTime,DerType::ColsAtCompileTime> > Real;</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar<DerType></a> NonInteger;</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1AutoDiffScalar.html">AutoDiffScalar<DerType></a>& Nested;</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  <span class="keyword">enum</span>{</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  RequireInitialization = 1</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  };</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span> };</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span> </div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span> }</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span> </div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span> <span class="preprocessor">#endif // EIGEN_AUTODIFF_SCALAR_H</span></div>
<div class="ttc" id="classEigen_1_1AutoDiffScalar_html"><div class="ttname"><a href="classEigen_1_1AutoDiffScalar.html">Eigen::AutoDiffScalar</a></div><div class="ttdoc">A scalar type replacement with automatic differentation capability. </div><div class="ttdef"><b>Definition:</b> AutoDiffScalar.h:60</div></div>
<div class="ttc" id="classEigen_1_1AutoDiffScalar_html_a2110c8207fcb357e6669966276dcc91b"><div class="ttname"><a href="classEigen_1_1AutoDiffScalar.html#a2110c8207fcb357e6669966276dcc91b">Eigen::AutoDiffScalar::AutoDiffScalar</a></div><div class="ttdeci">AutoDiffScalar(const Scalar &value, const DerType &der)</div><div class="ttdef"><b>Definition:</b> AutoDiffScalar.h:97</div></div>
<div class="ttc" id="classEigen_1_1AutoDiffScalar_html_a9709325db07d9ce76afddb01aa9beddc"><div class="ttname"><a href="classEigen_1_1AutoDiffScalar.html#a9709325db07d9ce76afddb01aa9beddc">Eigen::AutoDiffScalar::AutoDiffScalar</a></div><div class="ttdeci">AutoDiffScalar()</div><div class="ttdef"><b>Definition:</b> AutoDiffScalar.h:77</div></div>
<div class="ttc" id="classEigen_1_1AutoDiffScalar_html_a21b42dd5bb572f0dbbb6c84fa39cefe1"><div class="ttname"><a href="classEigen_1_1AutoDiffScalar.html#a21b42dd5bb572f0dbbb6c84fa39cefe1">Eigen::AutoDiffScalar::AutoDiffScalar</a></div><div class="ttdeci">AutoDiffScalar(const Scalar &value, int nbDer, int derNumber)</div><div class="ttdef"><b>Definition:</b> AutoDiffScalar.h:81</div></div>
<div class="ttc" id="classEigen_1_1AutoDiffScalar_html_a2e2b93d0821398f0d0900198a94364de"><div class="ttname"><a href="classEigen_1_1AutoDiffScalar.html#a2e2b93d0821398f0d0900198a94364de">Eigen::AutoDiffScalar::AutoDiffScalar</a></div><div class="ttdeci">AutoDiffScalar(const Real &value)</div><div class="ttdef"><b>Definition:</b> AutoDiffScalar.h:89</div></div>
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