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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) 2010 Jitse Niesen <jitse@maths.leeds.ac.uk></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_STEM_FUNCTION</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_STEM_FUNCTION</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="l00018"></a><span class="lineno"> 18</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Scalar></div>
<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="classEigen_1_1StdStemFunctions.html"> 19</a></span> <span class="keyword">class </span><a class="code" href="classEigen_1_1StdStemFunctions.html">StdStemFunctions</a></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>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="classEigen_1_1StdStemFunctions.html#aa0efe3d96f1c526d23a8856ef9fe1e12"> 24</a></span>  <span class="keyword">static</span> Scalar <a class="code" href="classEigen_1_1StdStemFunctions.html#aa0efe3d96f1c526d23a8856ef9fe1e12">exp</a>(Scalar x, <span class="keywordtype">int</span>)</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>  <span class="keywordflow">return</span> std::exp(x);</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="l00030"></a><span class="lineno"><a class="line" href="classEigen_1_1StdStemFunctions.html#a0a4a260b381846e6c0f4a5632bce8fab"> 30</a></span>  <span class="keyword">static</span> Scalar <a class="code" href="classEigen_1_1StdStemFunctions.html#a0a4a260b381846e6c0f4a5632bce8fab">cos</a>(Scalar x, <span class="keywordtype">int</span> n)</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  Scalar res;</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keywordflow">switch</span> (n % 4) {</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordflow">case</span> 0: </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  res = std::cos(x);</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">case</span> 1:</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  res = -std::sin(x);</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordflow">case</span> 2:</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  res = -std::cos(x);</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">case</span> 3:</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  res = std::sin(x);</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  }</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  }</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classEigen_1_1StdStemFunctions.html#a5c94aa19b5339d960ead67bee1d8bf0c"> 51</a></span>  <span class="keyword">static</span> Scalar <a class="code" href="classEigen_1_1StdStemFunctions.html#a5c94aa19b5339d960ead67bee1d8bf0c">sin</a>(Scalar x, <span class="keywordtype">int</span> n)</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  Scalar res;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">switch</span> (n % 4) {</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">case</span> 0:</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  res = std::sin(x);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">case</span> 1:</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  res = std::cos(x);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">case</span> 2:</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  res = -std::sin(x);</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">case</span> 3:</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  res = -std::cos(x);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  }</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="classEigen_1_1StdStemFunctions.html#a2ac92720a5d389809c8d8aa85309835b"> 72</a></span>  <span class="keyword">static</span> Scalar <a class="code" href="classEigen_1_1StdStemFunctions.html#a2ac92720a5d389809c8d8aa85309835b">cosh</a>(Scalar x, <span class="keywordtype">int</span> n)</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  {</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  Scalar res;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">switch</span> (n % 2) {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">case</span> 0:</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  res = std::cosh(x);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">case</span> 1:</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  res = std::sinh(x);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  }</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  }</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="classEigen_1_1StdStemFunctions.html#a6529c5799980600a8ef928c9eb15065a"> 87</a></span>  <span class="keyword">static</span> Scalar <a class="code" href="classEigen_1_1StdStemFunctions.html#a6529c5799980600a8ef928c9eb15065a">sinh</a>(Scalar x, <span class="keywordtype">int</span> n)</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  {</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  Scalar res;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">switch</span> (n % 2) {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">case</span> 0:</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  res = std::sinh(x);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">case</span> 1:</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  res = std::cosh(x);</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">return</span> res;</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="comment">// end of class StdStemFunctions</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> } <span class="comment">// end namespace Eigen</span></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> <span class="preprocessor">#endif // EIGEN_STEM_FUNCTION</span></div>
<div class="ttc" id="classEigen_1_1StdStemFunctions_html"><div class="ttname"><a href="classEigen_1_1StdStemFunctions.html">Eigen::StdStemFunctions</a></div><div class="ttdoc">Stem functions corresponding to standard mathematical functions. </div><div class="ttdef"><b>Definition:</b> StemFunction.h:19</div></div>
<div class="ttc" id="classEigen_1_1StdStemFunctions_html_aa0efe3d96f1c526d23a8856ef9fe1e12"><div class="ttname"><a href="classEigen_1_1StdStemFunctions.html#aa0efe3d96f1c526d23a8856ef9fe1e12">Eigen::StdStemFunctions::exp</a></div><div class="ttdeci">static Scalar exp(Scalar x, int)</div><div class="ttdoc">The exponential function (and its derivatives). </div><div class="ttdef"><b>Definition:</b> StemFunction.h:24</div></div>
<div class="ttc" id="classEigen_1_1StdStemFunctions_html_a2ac92720a5d389809c8d8aa85309835b"><div class="ttname"><a href="classEigen_1_1StdStemFunctions.html#a2ac92720a5d389809c8d8aa85309835b">Eigen::StdStemFunctions::cosh</a></div><div class="ttdeci">static Scalar cosh(Scalar x, int n)</div><div class="ttdoc">Hyperbolic cosine (and its derivatives). </div><div class="ttdef"><b>Definition:</b> StemFunction.h:72</div></div>
<div class="ttc" id="classEigen_1_1StdStemFunctions_html_a0a4a260b381846e6c0f4a5632bce8fab"><div class="ttname"><a href="classEigen_1_1StdStemFunctions.html#a0a4a260b381846e6c0f4a5632bce8fab">Eigen::StdStemFunctions::cos</a></div><div class="ttdeci">static Scalar cos(Scalar x, int n)</div><div class="ttdoc">Cosine (and its derivatives). </div><div class="ttdef"><b>Definition:</b> StemFunction.h:30</div></div>
<div class="ttc" id="classEigen_1_1StdStemFunctions_html_a5c94aa19b5339d960ead67bee1d8bf0c"><div class="ttname"><a href="classEigen_1_1StdStemFunctions.html#a5c94aa19b5339d960ead67bee1d8bf0c">Eigen::StdStemFunctions::sin</a></div><div class="ttdeci">static Scalar sin(Scalar x, int n)</div><div class="ttdoc">Sine (and its derivatives). </div><div class="ttdef"><b>Definition:</b> StemFunction.h:51</div></div>
<div class="ttc" id="classEigen_1_1StdStemFunctions_html_a6529c5799980600a8ef928c9eb15065a"><div class="ttname"><a href="classEigen_1_1StdStemFunctions.html#a6529c5799980600a8ef928c9eb15065a">Eigen::StdStemFunctions::sinh</a></div><div class="ttdeci">static Scalar sinh(Scalar x, int n)</div><div class="ttdoc">Hyperbolic sine (and its derivatives). </div><div class="ttdef"><b>Definition:</b> StemFunction.h:87</div></div>
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