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<div class="title">Translation.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2008 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_TRANSLATION_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define EIGEN_TRANSLATION_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _Dim&gt;</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">class </span>Translation</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;{</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(_Scalar,_Dim)</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  enum { Dim = _Dim };</div>
<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">   37</a></span>&#160;  <span class="keyword">typedef</span> _Scalar <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>;</div>
<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a0c16671587fa0dc76fafeb486d6461c3">   39</a></span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;Scalar,Dim,1&gt;</a> <a class="code" href="classEigen_1_1Translation.html#a0c16671587fa0dc76fafeb486d6461c3">VectorType</a>;</div>
<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#ab123316c79bd49697f551c8047cc2356">   41</a></span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;Scalar,Dim,Dim&gt;</a> <a class="code" href="classEigen_1_1Translation.html#ab123316c79bd49697f551c8047cc2356">LinearMatrixType</a>;</div>
<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#ae0819689c40a9fd7aa20c63faecd967a">   43</a></span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Affine&gt;</a> <a class="code" href="classEigen_1_1Translation.html#ae0819689c40a9fd7aa20c63faecd967a">AffineTransformType</a>;</div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a2fc228d7d105715272c4f1a2aa018af4">   45</a></span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Isometry&gt;</a> <a class="code" href="classEigen_1_1Translation.html#a2fc228d7d105715272c4f1a2aa018af4">IsometryTransformType</a>;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> m_coeffs;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#ae4694a2ae6f5453587c5d7f4bc385ded">   54</a></span>&#160;  <a class="code" href="classEigen_1_1Translation.html#ae4694a2ae6f5453587c5d7f4bc385ded">Translation</a>() {}</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#ae4694a2ae6f5453587c5d7f4bc385ded">Translation</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>&amp; sx, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>&amp; sy)</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;    eigen_assert(Dim==2);</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    m_coeffs.x() = sx;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    m_coeffs.y() = sy;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  }</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#ae4694a2ae6f5453587c5d7f4bc385ded">Translation</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>&amp; sx, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>&amp; sy, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>&amp; sz)</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  {</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    eigen_assert(Dim==3);</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    m_coeffs.x() = sx;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    m_coeffs.y() = sy;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    m_coeffs.z() = sz;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  }</div>
<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a7475e79dd0650a93f66e078f4ab9c58f">   71</a></span>&#160;  <span class="keyword">explicit</span> <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#a7475e79dd0650a93f66e078f4ab9c58f">Translation</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>&amp; vector) : m_coeffs(vector) {}</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a5eb2596dc2a509b276d01578a9c3dd27">   74</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a> <a class="code" href="classEigen_1_1Translation.html#a5eb2596dc2a509b276d01578a9c3dd27">x</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs.x(); }</div>
<div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a7b19faa70d70b5f16a39f1dd4b69e7a0">   76</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a> <a class="code" href="classEigen_1_1Translation.html#a7b19faa70d70b5f16a39f1dd4b69e7a0">y</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs.y(); }</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a94a075384f8f54dc97a69546e600b78e">   78</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a> <a class="code" href="classEigen_1_1Translation.html#a94a075384f8f54dc97a69546e600b78e">z</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs.z(); }</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a5e6fc074bced85f298c76edac1af6cd9">   81</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>&amp; <a class="code" href="classEigen_1_1Translation.html#a5e6fc074bced85f298c76edac1af6cd9">x</a>() { <span class="keywordflow">return</span> m_coeffs.x(); }</div>
<div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#ad948bb3bd6866bdca15149880c34be62">   83</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>&amp; <a class="code" href="classEigen_1_1Translation.html#ad948bb3bd6866bdca15149880c34be62">y</a>() { <span class="keywordflow">return</span> m_coeffs.y(); }</div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a1abcf9e222c8e5c38cf63f6821cd6480">   85</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>&amp; <a class="code" href="classEigen_1_1Translation.html#a1abcf9e222c8e5c38cf63f6821cd6480">z</a>() { <span class="keywordflow">return</span> m_coeffs.z(); }</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  <span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html#a0c16671587fa0dc76fafeb486d6461c3">VectorType</a>&amp; vector()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs; }</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  <a class="code" href="classEigen_1_1Translation.html#a0c16671587fa0dc76fafeb486d6461c3">VectorType</a>&amp; vector() { <span class="keywordflow">return</span> m_coeffs; }</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="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html#a0c16671587fa0dc76fafeb486d6461c3">VectorType</a>&amp; translation()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs; }</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;  <a class="code" href="classEigen_1_1Translation.html#a0c16671587fa0dc76fafeb486d6461c3">VectorType</a>&amp; translation() { <span class="keywordflow">return</span> m_coeffs; }</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a42026a509f82e98803005fa8893a81a7">   94</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html">Translation</a> <a class="code" href="classEigen_1_1Translation.html#a42026a509f82e98803005fa8893a81a7">operator* </a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html">Translation</a>&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Translation.html#ae4694a2ae6f5453587c5d7f4bc385ded">Translation</a>(m_coeffs + other.m_coeffs); }</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#ae0819689c40a9fd7aa20c63faecd967a">AffineTransformType</a> <a class="code" href="classEigen_1_1Translation.html#a42026a509f82e98803005fa8893a81a7">operator* </a>(<span class="keyword">const</span> UniformScaling&lt;Scalar&gt;&amp; other) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Translation.html#ae0819689c40a9fd7aa20c63faecd967a">AffineTransformType</a> <a class="code" href="classEigen_1_1Translation.html#a42026a509f82e98803005fa8893a81a7">operator* </a>(<span class="keyword">const</span> <a class="code" href="structEigen_1_1EigenBase.html">EigenBase&lt;OtherDerived&gt;</a>&amp; linear) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#ae03a19b4e13d143cd13e5a6ebd62c12e">  106</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">IsometryTransformType</a> <a class="code" href="classEigen_1_1Translation.html#ae03a19b4e13d143cd13e5a6ebd62c12e">operator*</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1RotationBase.html">RotationBase&lt;Derived,Dim&gt;</a>&amp; r)<span class="keyword"> const</span></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> *<span class="keyword">this</span> * <a class="code" href="classEigen_1_1Translation.html#a2fc228d7d105715272c4f1a2aa018af4">IsometryTransformType</a>(r); }</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  <span class="comment">// its a nightmare to define a templated friend function outside its declaration</span></div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt; <span class="keyword">friend</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a918cdd281bce3363e0e242b22bccbbec">  112</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">AffineTransformType</a> <a class="code" href="classEigen_1_1Translation.html#a918cdd281bce3363e0e242b22bccbbec">operator*</a>(<span class="keyword">const</span> <a class="code" href="structEigen_1_1EigenBase.html">EigenBase&lt;OtherDerived&gt;</a>&amp; linear, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html">Translation</a>&amp; t)</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;  {</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    <a class="code" href="classEigen_1_1Transform.html">AffineTransformType</a> res;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    res.<a class="code" href="classEigen_1_1Transform.html#abc21b93260324521746a4ca2efacba90">matrix</a>().<a class="code" href="classEigen_1_1PlainObjectBase.html#a04abe84a9a894de335a232681d9a0722">setZero</a>();</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    res.<a class="code" href="classEigen_1_1Transform.html#abbee559820c5cdfe7653a646396b0a8f">linear</a>() = linear.<a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>();</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    res.<a class="code" href="classEigen_1_1Transform.html#a4619e6e4e0659443ad2bdb24c80af281">translation</a>() = linear.<a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>() * t.m_coeffs;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    res.<a class="code" href="classEigen_1_1Transform.html#abc21b93260324521746a4ca2efacba90">matrix</a>().<a class="code" href="classEigen_1_1DenseBase.html#aa8716d44f51321072ee5c88665c28813">row</a>(Dim).setZero();</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    res(Dim,Dim) = <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>(1);</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  }</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a4905e372221a7ca6eaf7f11056bc1b7a">  125</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode&gt;</a> <a class="code" href="classEigen_1_1Translation.html#a42026a509f82e98803005fa8893a81a7">operator* </a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp; t)<span class="keyword"> const</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode&gt;</a> res = t;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    res.pretranslate(m_coeffs);</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  }</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a4e66a7d6ec3f45223ee76dc65c1672ab">  133</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> <a class="code" href="classEigen_1_1Translation.html#a42026a509f82e98803005fa8893a81a7">operator* </a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> m_coeffs + other; }</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
<div class="line"><a name="l00137"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a4a30d0656f2326b33bfe22782619dab8">  137</a></span>&#160;  <a class="code" href="classEigen_1_1Translation.html">Translation</a> <a class="code" href="classEigen_1_1Translation.html#a4a30d0656f2326b33bfe22782619dab8">inverse</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Translation.html#ae4694a2ae6f5453587c5d7f4bc385ded">Translation</a>(-m_coeffs); }</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;  <a class="code" href="classEigen_1_1Translation.html">Translation</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html">Translation</a>&amp; other)</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;  {</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    m_coeffs = other.m_coeffs;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;  }</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html#ae4694a2ae6f5453587c5d7f4bc385ded">Translation</a> Identity() { <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Translation.html#ae4694a2ae6f5453587c5d7f4bc385ded">Translation</a>(VectorType::Zero()); }</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> NewScalarType&gt;</div>
<div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a3fb1728a5460763fbbe97299879c0d08">  153</a></span>&#160;  <span class="keyword">inline</span> <span class="keyword">typename</span> internal::cast_return_type&lt;Translation,Translation&lt;NewScalarType,Dim&gt; &gt;::type <a class="code" href="classEigen_1_1Translation.html#a3fb1728a5460763fbbe97299879c0d08">cast</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> <span class="keyword">typename</span> internal::cast_return_type&lt;Translation,Translation&lt;NewScalarType,Dim&gt; &gt;::type(*<span class="keyword">this</span>); }</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherScalarType&gt;</div>
<div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#ae9786b865342bd96b4df2bd731e42875">  158</a></span>&#160;  <span class="keyword">inline</span> <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1Translation.html#ae9786b865342bd96b4df2bd731e42875">Translation</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html">Translation&lt;OtherScalarType,Dim&gt;</a>&amp; other)</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;  { m_coeffs = other.vector().template cast&lt;Scalar&gt;(); }</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;</div>
<div class="line"><a name="l00165"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a22e1d6d012e5c852a3515d3f2c66d99c">  165</a></span>&#160;  <span class="keywordtype">bool</span> <a class="code" href="classEigen_1_1Translation.html#a22e1d6d012e5c852a3515d3f2c66d99c">isApprox</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Translation.html">Translation</a>&amp; other, <span class="keyword">typename</span> <a class="code" href="structEigen_1_1NumTraits.html">NumTraits&lt;Scalar&gt;::Real</a> prec = <a class="code" href="structEigen_1_1NumTraits.html">NumTraits&lt;Scalar&gt;::dummy_precision</a>())<span class="keyword"> const</span></div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> m_coeffs.isApprox(other.m_coeffs, prec); }</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;};</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="keyword">typedef</span> Translation&lt;float, 2&gt; Translation2f;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;<span class="keyword">typedef</span> Translation&lt;double,2&gt; Translation2d;</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;<span class="keyword">typedef</span> Translation&lt;float, 3&gt; Translation3f;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="keyword">typedef</span> Translation&lt;double,3&gt; Translation3d;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim&gt;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;<span class="keyword">inline</span> <span class="keyword">typename</span> Translation&lt;Scalar,Dim&gt;::AffineTransformType</div>
<div class="line"><a name="l00180"></a><span class="lineno"><a class="line" href="classEigen_1_1Translation.html#a51ca261eeb17be60393fdbee5119cd0a">  180</a></span>&#160;<a class="code" href="classEigen_1_1Translation.html#a42026a509f82e98803005fa8893a81a7">Translation&lt;Scalar,Dim&gt;::operator* </a>(<span class="keyword">const</span> UniformScaling&lt;Scalar&gt;&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  <a class="code" href="classEigen_1_1Transform.html">AffineTransformType</a> res;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;  res.<a class="code" href="classEigen_1_1Transform.html#abc21b93260324521746a4ca2efacba90">matrix</a>().<a class="code" href="classEigen_1_1PlainObjectBase.html#a04abe84a9a894de335a232681d9a0722">setZero</a>();</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;  res.<a class="code" href="classEigen_1_1Transform.html#abbee559820c5cdfe7653a646396b0a8f">linear</a>().diagonal().fill(other.factor());</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;  res.<a class="code" href="classEigen_1_1Transform.html#a4619e6e4e0659443ad2bdb24c80af281">translation</a>() = m_coeffs;</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  res(Dim,Dim) = <a class="code" href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>(1);</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;}</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim&gt;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;<span class="keyword">inline</span> <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Transform.html">Translation&lt;Scalar,Dim&gt;::AffineTransformType</a></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;<a class="code" href="classEigen_1_1Translation.html#a42026a509f82e98803005fa8893a81a7">Translation&lt;Scalar,Dim&gt;::operator* </a>(<span class="keyword">const</span> <a class="code" href="structEigen_1_1EigenBase.html">EigenBase&lt;OtherDerived&gt;</a>&amp; linear)<span class="keyword"> const</span></div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;  AffineTransformType res;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;  res.matrix().setZero();</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;  res.linear() = linear.<a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>();</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;  res.translation() = m_coeffs;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;  res.matrix().row(Dim).setZero();</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  res(Dim,Dim) = Scalar(1);</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;}</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;<span class="preprocessor">#endif // EIGEN_TRANSLATION_H</span></div>
<div class="ttc" id="classEigen_1_1Transform_html_abbee559820c5cdfe7653a646396b0a8f"><div class="ttname"><a href="classEigen_1_1Transform.html#abbee559820c5cdfe7653a646396b0a8f">Eigen::Transform::linear</a></div><div class="ttdeci">ConstLinearPart linear() const </div><div class="ttdef"><b>Definition:</b> Transform.h:372</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_ae4694a2ae6f5453587c5d7f4bc385ded"><div class="ttname"><a href="classEigen_1_1Translation.html#ae4694a2ae6f5453587c5d7f4bc385ded">Eigen::Translation::Translation</a></div><div class="ttdeci">Translation()</div><div class="ttdef"><b>Definition:</b> Translation.h:54</div></div>
<div class="ttc" id="classEigen_1_1DenseBase_html_aa8716d44f51321072ee5c88665c28813"><div class="ttname"><a href="classEigen_1_1DenseBase.html#aa8716d44f51321072ee5c88665c28813">Eigen::DenseBase::row</a></div><div class="ttdeci">RowXpr row(Index i)</div><div class="ttdef"><b>Definition:</b> DenseBase.h:726</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a4a30d0656f2326b33bfe22782619dab8"><div class="ttname"><a href="classEigen_1_1Translation.html#a4a30d0656f2326b33bfe22782619dab8">Eigen::Translation::inverse</a></div><div class="ttdeci">Translation inverse() const </div><div class="ttdef"><b>Definition:</b> Translation.h:137</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a7475e79dd0650a93f66e078f4ab9c58f"><div class="ttname"><a href="classEigen_1_1Translation.html#a7475e79dd0650a93f66e078f4ab9c58f">Eigen::Translation::Translation</a></div><div class="ttdeci">Translation(const VectorType &amp;vector)</div><div class="ttdef"><b>Definition:</b> Translation.h:71</div></div>
<div class="ttc" id="structEigen_1_1NumTraits_html"><div class="ttname"><a href="structEigen_1_1NumTraits.html">Eigen::NumTraits</a></div><div class="ttdoc">Holds information about the various numeric (i.e. scalar) types allowed by Eigen. ...</div><div class="ttdef"><b>Definition:</b> NumTraits.h:88</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a2fc228d7d105715272c4f1a2aa018af4"><div class="ttname"><a href="classEigen_1_1Translation.html#a2fc228d7d105715272c4f1a2aa018af4">Eigen::Translation::IsometryTransformType</a></div><div class="ttdeci">Transform&lt; Scalar, Dim, Isometry &gt; IsometryTransformType</div><div class="ttdef"><b>Definition:</b> Translation.h:45</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a7b19faa70d70b5f16a39f1dd4b69e7a0"><div class="ttname"><a href="classEigen_1_1Translation.html#a7b19faa70d70b5f16a39f1dd4b69e7a0">Eigen::Translation::y</a></div><div class="ttdeci">Scalar y() const </div><div class="ttdoc">Retruns the y-translation by value. </div><div class="ttdef"><b>Definition:</b> Translation.h:76</div></div>
<div class="ttc" id="structEigen_1_1EigenBase_html"><div class="ttname"><a href="structEigen_1_1EigenBase.html">Eigen::EigenBase</a></div><div class="ttdef"><b>Definition:</b> EigenBase.h:26</div></div>
<div class="ttc" id="classEigen_1_1Translation_html"><div class="ttname"><a href="classEigen_1_1Translation.html">Eigen::Translation</a></div><div class="ttdoc">Represents a translation transformation. </div><div class="ttdef"><b>Definition:</b> ForwardDeclarations.h:236</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a5eb2596dc2a509b276d01578a9c3dd27"><div class="ttname"><a href="classEigen_1_1Translation.html#a5eb2596dc2a509b276d01578a9c3dd27">Eigen::Translation::x</a></div><div class="ttdeci">Scalar x() const </div><div class="ttdoc">Retruns the x-translation by value. </div><div class="ttdef"><b>Definition:</b> Translation.h:74</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_ab123316c79bd49697f551c8047cc2356"><div class="ttname"><a href="classEigen_1_1Translation.html#ab123316c79bd49697f551c8047cc2356">Eigen::Translation::LinearMatrixType</a></div><div class="ttdeci">Matrix&lt; Scalar, Dim, Dim &gt; LinearMatrixType</div><div class="ttdef"><b>Definition:</b> Translation.h:41</div></div>
<div class="ttc" id="structEigen_1_1EigenBase_html_aa84222add803ad7c9db07dd4dd91d5d9"><div class="ttname"><a href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">Eigen::EigenBase::derived</a></div><div class="ttdeci">Derived &amp; derived()</div><div class="ttdef"><b>Definition:</b> EigenBase.h:34</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a0c16671587fa0dc76fafeb486d6461c3"><div class="ttname"><a href="classEigen_1_1Translation.html#a0c16671587fa0dc76fafeb486d6461c3">Eigen::Translation::VectorType</a></div><div class="ttdeci">Matrix&lt; Scalar, Dim, 1 &gt; VectorType</div><div class="ttdef"><b>Definition:</b> Translation.h:39</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_abc21b93260324521746a4ca2efacba90"><div class="ttname"><a href="classEigen_1_1Transform.html#abc21b93260324521746a4ca2efacba90">Eigen::Transform::matrix</a></div><div class="ttdeci">const MatrixType &amp; matrix() const </div><div class="ttdef"><b>Definition:</b> Transform.h:367</div></div>
<div class="ttc" id="classEigen_1_1RotationBase_html"><div class="ttname"><a href="classEigen_1_1RotationBase.html">Eigen::RotationBase</a></div><div class="ttdoc">Common base class for compact rotation representations. </div><div class="ttdef"><b>Definition:</b> ForwardDeclarations.h:231</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_aea29b63b6c32046ae9a471d82c5cf869"><div class="ttname"><a href="classEigen_1_1Translation.html#aea29b63b6c32046ae9a471d82c5cf869">Eigen::Translation::Scalar</a></div><div class="ttdeci">_Scalar Scalar</div><div class="ttdef"><b>Definition:</b> Translation.h:37</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a1abcf9e222c8e5c38cf63f6821cd6480"><div class="ttname"><a href="classEigen_1_1Translation.html#a1abcf9e222c8e5c38cf63f6821cd6480">Eigen::Translation::z</a></div><div class="ttdeci">Scalar &amp; z()</div><div class="ttdoc">Retruns the z-translation as a reference. </div><div class="ttdef"><b>Definition:</b> Translation.h:85</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a94a075384f8f54dc97a69546e600b78e"><div class="ttname"><a href="classEigen_1_1Translation.html#a94a075384f8f54dc97a69546e600b78e">Eigen::Translation::z</a></div><div class="ttdeci">Scalar z() const </div><div class="ttdoc">Retruns the z-translation by value. </div><div class="ttdef"><b>Definition:</b> Translation.h:78</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a5e6fc074bced85f298c76edac1af6cd9"><div class="ttname"><a href="classEigen_1_1Translation.html#a5e6fc074bced85f298c76edac1af6cd9">Eigen::Translation::x</a></div><div class="ttdeci">Scalar &amp; x()</div><div class="ttdoc">Retruns the x-translation as a reference. </div><div class="ttdef"><b>Definition:</b> Translation.h:81</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_ae9786b865342bd96b4df2bd731e42875"><div class="ttname"><a href="classEigen_1_1Translation.html#ae9786b865342bd96b4df2bd731e42875">Eigen::Translation::Translation</a></div><div class="ttdeci">Translation(const Translation&lt; OtherScalarType, Dim &gt; &amp;other)</div><div class="ttdef"><b>Definition:</b> Translation.h:158</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a42026a509f82e98803005fa8893a81a7"><div class="ttname"><a href="classEigen_1_1Translation.html#a42026a509f82e98803005fa8893a81a7">Eigen::Translation::operator*</a></div><div class="ttdeci">Translation operator*(const Translation &amp;other) const </div><div class="ttdef"><b>Definition:</b> Translation.h:94</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a3fb1728a5460763fbbe97299879c0d08"><div class="ttname"><a href="classEigen_1_1Translation.html#a3fb1728a5460763fbbe97299879c0d08">Eigen::Translation::cast</a></div><div class="ttdeci">internal::cast_return_type&lt; Translation, Translation&lt; NewScalarType, Dim &gt; &gt;::type cast() const </div><div class="ttdef"><b>Definition:</b> Translation.h:153</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_ae0819689c40a9fd7aa20c63faecd967a"><div class="ttname"><a href="classEigen_1_1Translation.html#ae0819689c40a9fd7aa20c63faecd967a">Eigen::Translation::AffineTransformType</a></div><div class="ttdeci">Transform&lt; Scalar, Dim, Affine &gt; AffineTransformType</div><div class="ttdef"><b>Definition:</b> Translation.h:43</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a22e1d6d012e5c852a3515d3f2c66d99c"><div class="ttname"><a href="classEigen_1_1Translation.html#a22e1d6d012e5c852a3515d3f2c66d99c">Eigen::Translation::isApprox</a></div><div class="ttdeci">bool isApprox(const Translation &amp;other, typename NumTraits&lt; Scalar &gt;::Real prec=NumTraits&lt; Scalar &gt;::dummy_precision()) const </div><div class="ttdef"><b>Definition:</b> Translation.h:165</div></div>
<div class="ttc" id="classEigen_1_1Matrix_html"><div class="ttname"><a href="classEigen_1_1Matrix.html">Eigen::Matrix&lt; Scalar, Dim, 1 &gt;</a></div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a4619e6e4e0659443ad2bdb24c80af281"><div class="ttname"><a href="classEigen_1_1Transform.html#a4619e6e4e0659443ad2bdb24c80af281">Eigen::Transform::translation</a></div><div class="ttdeci">ConstTranslationPart translation() const </div><div class="ttdef"><b>Definition:</b> Transform.h:382</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_a918cdd281bce3363e0e242b22bccbbec"><div class="ttname"><a href="classEigen_1_1Translation.html#a918cdd281bce3363e0e242b22bccbbec">Eigen::Translation::operator*</a></div><div class="ttdeci">friend AffineTransformType operator*(const EigenBase&lt; OtherDerived &gt; &amp;linear, const Translation &amp;t)</div><div class="ttdef"><b>Definition:</b> Translation.h:112</div></div>
<div class="ttc" id="classEigen_1_1Transform_html"><div class="ttname"><a href="classEigen_1_1Transform.html">Eigen::Transform</a></div><div class="ttdoc">Represents an homogeneous transformation in a N dimensional space. </div><div class="ttdef"><b>Definition:</b> ForwardDeclarations.h:261</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_ae03a19b4e13d143cd13e5a6ebd62c12e"><div class="ttname"><a href="classEigen_1_1Translation.html#ae03a19b4e13d143cd13e5a6ebd62c12e">Eigen::Translation::operator*</a></div><div class="ttdeci">IsometryTransformType operator*(const RotationBase&lt; Derived, Dim &gt; &amp;r) const </div><div class="ttdef"><b>Definition:</b> Translation.h:106</div></div>
<div class="ttc" id="classEigen_1_1Translation_html_ad948bb3bd6866bdca15149880c34be62"><div class="ttname"><a href="classEigen_1_1Translation.html#ad948bb3bd6866bdca15149880c34be62">Eigen::Translation::y</a></div><div class="ttdeci">Scalar &amp; y()</div><div class="ttdoc">Retruns the y-translation as a reference. </div><div class="ttdef"><b>Definition:</b> Translation.h:83</div></div>
<div class="ttc" id="classEigen_1_1PlainObjectBase_html_a04abe84a9a894de335a232681d9a0722"><div class="ttname"><a href="classEigen_1_1PlainObjectBase.html#a04abe84a9a894de335a232681d9a0722">Eigen::PlainObjectBase::setZero</a></div><div class="ttdeci">Derived &amp; setZero(Index size)</div><div class="ttdef"><b>Definition:</b> CwiseNullaryOp.h:515</div></div>
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