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<div class="title">GlobalFunctions.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2010-2012 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// Copyright (C) 2010 Benoit Jacob &lt;jacob.benoit.1@gmail.com&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#ifndef EIGEN_GLOBAL_FUNCTIONS_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define EIGEN_GLOBAL_FUNCTIONS_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#define EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(NAME,FUNCTOR) \</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">  template&lt;typename Derived&gt; \</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">  inline const Eigen::CwiseUnaryOp&lt;Eigen::internal::FUNCTOR&lt;typename Derived::Scalar&gt;, const Derived&gt; \</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">  NAME(const Eigen::ArrayBase&lt;Derived&gt;&amp; x) { \</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">    return x.derived(); \</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">  }</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#define EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(NAME,FUNCTOR) \</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">  \</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">  template&lt;typename Derived&gt; \</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">  struct NAME##_retval&lt;ArrayBase&lt;Derived&gt; &gt; \</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">  { \</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">    typedef const Eigen::CwiseUnaryOp&lt;Eigen::internal::FUNCTOR&lt;typename Derived::Scalar&gt;, const Derived&gt; type; \</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">  }; \</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">  template&lt;typename Derived&gt; \</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">  struct NAME##_impl&lt;ArrayBase&lt;Derived&gt; &gt; \</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">  { \</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">    static inline typename NAME##_retval&lt;ArrayBase&lt;Derived&gt; &gt;::type run(const Eigen::ArrayBase&lt;Derived&gt;&amp; x) \</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">    { \</span></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">      return x.derived(); \</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">    } \</span></div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">  };</span></div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="keyword">namespace </span>Eigen</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;{</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(real,scalar_real_op)</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(imag,scalar_imag_op)</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(conj,scalar_conjugate_op)</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sin,scalar_sin_op)</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(cos,scalar_cos_op)</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(asin,scalar_asin_op)</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(acos,scalar_acos_op)</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(tan,scalar_tan_op)</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(exp,scalar_exp_op)</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(log,scalar_log_op)</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(abs,scalar_abs_op)</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sqrt,scalar_sqrt_op)</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  </div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  template&lt;typename Derived&gt;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;  inline const Eigen::CwiseUnaryOp&lt;Eigen::internal::scalar_pow_op&lt;typename Derived::Scalar&gt;, const Derived&gt;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  pow(const Eigen::ArrayBase&lt;Derived&gt;&amp; x, const typename Derived::Scalar&amp; exponent) {</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    <span class="keywordflow">return</span> x.derived().pow(exponent);</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  }</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1CwiseBinaryOp.html">Eigen::CwiseBinaryOp&lt;Eigen::internal::scalar_binary_pow_op&lt;typename Derived::Scalar, typename Derived::Scalar&gt;</a>, <span class="keyword">const</span> Derived, <span class="keyword">const</span> Derived&gt;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  pow(<span class="keyword">const</span> <a class="code" href="classEigen_1_1ArrayBase.html">Eigen::ArrayBase&lt;Derived&gt;</a>&amp; x, <span class="keyword">const</span> <a class="code" href="classEigen_1_1ArrayBase.html">Eigen::ArrayBase&lt;Derived&gt;</a>&amp; exponents) </div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  {</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1CwiseBinaryOp.html">Eigen::CwiseBinaryOp&lt;Eigen::internal::scalar_binary_pow_op&lt;typename Derived::Scalar, typename Derived::Scalar&gt;</a>, <span class="keyword">const</span> Derived, <span class="keyword">const</span> Derived&gt;(</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      x.derived(),</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      exponents.derived()</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    );</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  }</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  </div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1CwiseUnaryOp.html">Eigen::CwiseUnaryOp&lt;Eigen::internal::scalar_inverse_mult_op&lt;typename Derived::Scalar&gt;</a>, <span class="keyword">const</span> Derived&gt;</div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="namespaceEigen.html#acec656d25cf48f1a601d385d6083f3c6">   74</a></span>&#160;    <a class="code" href="namespaceEigen.html#acec656d25cf48f1a601d385d6083f3c6">operator/</a>(<span class="keyword">const</span> <span class="keyword">typename</span> Derived::Scalar&amp; s, <span class="keyword">const</span> <a class="code" href="classEigen_1_1ArrayBase.html">Eigen::ArrayBase&lt;Derived&gt;</a>&amp; a)</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  {</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1CwiseUnaryOp.html">Eigen::CwiseUnaryOp&lt;Eigen::internal::scalar_inverse_mult_op&lt;typename Derived::Scalar&gt;</a>, <span class="keyword">const</span> Derived&gt;(</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      a.derived(),</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      Eigen::internal::scalar_inverse_mult_op&lt;typename Derived::Scalar&gt;(s)  </div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    );</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  }</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  <span class="keyword">namespace </span>internal</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  {</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(real,scalar_real_op)</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(imag,scalar_imag_op)</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(abs2,scalar_abs2_op)</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  }</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;}</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="comment">// TODO: cleanly disable those functions that are not supported on Array (numext::real_ref, internal::random, internal::isApprox...)</span></div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="preprocessor">#endif // EIGEN_GLOBAL_FUNCTIONS_H</span></div>
<div class="ttc" id="namespaceEigen_html_acec656d25cf48f1a601d385d6083f3c6"><div class="ttname"><a href="namespaceEigen.html#acec656d25cf48f1a601d385d6083f3c6">Eigen::operator/</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_inverse_mult_op&lt; typename Derived::Scalar &gt;, const Derived &gt; operator/(const typename Derived::Scalar &amp;s, const Eigen::ArrayBase&lt; Derived &gt; &amp;a)</div><div class="ttdoc">Component-wise division of a scalar by array elements. </div><div class="ttdef"><b>Definition:</b> GlobalFunctions.h:74</div></div>
<div class="ttc" id="classEigen_1_1CwiseBinaryOp_html"><div class="ttname"><a href="classEigen_1_1CwiseBinaryOp.html">Eigen::CwiseBinaryOp</a></div><div class="ttdoc">Generic expression where a coefficient-wise binary operator is applied to two expressions. </div><div class="ttdef"><b>Definition:</b> CwiseBinaryOp.h:106</div></div>
<div class="ttc" id="classEigen_1_1ArrayBase_html"><div class="ttname"><a href="classEigen_1_1ArrayBase.html">Eigen::ArrayBase</a></div><div class="ttdoc">Base class for all 1D and 2D array, and related expressions. </div><div class="ttdef"><b>Definition:</b> ArrayBase.h:39</div></div>
<div class="ttc" id="classEigen_1_1CwiseUnaryOp_html"><div class="ttname"><a href="classEigen_1_1CwiseUnaryOp.html">Eigen::CwiseUnaryOp</a></div><div class="ttdoc">Generic expression where a coefficient-wise unary operator is applied to an expression. </div><div class="ttdef"><b>Definition:</b> CwiseUnaryOp.h:59</div></div>
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