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<div class="title">Transform.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">// Copyright (C) 2009 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">// Copyright (C) 2010 Hauke Heibel &lt;hauke.heibel@gmail.com&gt;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</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="l00010"></a><span class="lineno">   10</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="l00011"></a><span class="lineno">   11</span>&#160;</div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#ifndef EIGEN_TRANSFORM_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define EIGEN_TRANSFORM_H</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Transform&gt;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">struct </span>transform_traits</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;{</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">enum</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  {</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    Dim = Transform::Dim,</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    HDim = Transform::HDim,</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    Mode = Transform::Mode,</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    IsProjective = (int(Mode)==int(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a>))</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;  };</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;};</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="keyword">template</span>&lt; <span class="keyword">typename</span> TransformType,</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;          <span class="keyword">typename</span> MatrixType,</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;          <span class="keywordtype">int</span> Case = transform_traits&lt;TransformType&gt;::IsProjective ? 0</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                   : int(MatrixType::RowsAtCompileTime) == int(transform_traits&lt;TransformType&gt;::HDim) ? 1</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                   : 2&gt;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="keyword">struct </span>transform_right_product_impl;</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">template</span>&lt; <span class="keyword">typename</span> Other,</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          <span class="keywordtype">int</span> Mode,</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;          <span class="keywordtype">int</span> Options,</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;          <span class="keywordtype">int</span> Dim,</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;          <span class="keywordtype">int</span> HDim,</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;          <span class="keywordtype">int</span> OtherRows=Other::RowsAtCompileTime,</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;          <span class="keywordtype">int</span> OtherCols=Other::ColsAtCompileTime&gt;</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="keyword">struct </span>transform_left_product_impl;</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">template</span>&lt; <span class="keyword">typename</span> Lhs,</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;          <span class="keyword">typename</span> Rhs,</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;          <span class="keywordtype">bool</span> AnyProjective = </div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            transform_traits&lt;Lhs&gt;::IsProjective ||</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            transform_traits&lt;Rhs&gt;::IsProjective&gt;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="keyword">struct </span>transform_transform_product_impl;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="keyword">template</span>&lt; <span class="keyword">typename</span> Other,</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          <span class="keywordtype">int</span> Mode,</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;          <span class="keywordtype">int</span> Options,</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;          <span class="keywordtype">int</span> Dim,</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          <span class="keywordtype">int</span> HDim,</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;          <span class="keywordtype">int</span> OtherRows=Other::RowsAtCompileTime,</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;          <span class="keywordtype">int</span> OtherCols=Other::ColsAtCompileTime&gt;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="keyword">struct </span>transform_construct_from_matrix;</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="keyword">template</span>&lt;<span class="keyword">typename</span> TransformType&gt; <span class="keyword">struct </span>transform_take_affine_part;</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;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _Dim, <span class="keywordtype">int</span> _Mode, <span class="keywordtype">int</span> _Options&gt;</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="keyword">class </span>Transform</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">public</span>:</div>
<div class="line"><a name="l00179"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a08fcfa17a274862a36b5908d2b261e0d">  179</a></span>&#160;  <a class="code" href="classEigen_1_1Transform.html#a08fcfa17a274862a36b5908d2b261e0d">EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE</a>(_Scalar,_Dim==<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> ? <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> : (_Dim+1)*(_Dim+1))</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;  enum {</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;    Mode = _Mode,</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;    Options = _Options,</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;    Dim = _Dim,     </div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;    HDim = _Dim+1,  </div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    Rows = int(Mode)==(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>) ? Dim : HDim</div>
<div class="line"><a name="l00186"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#aea29b63b6c32046ae9a471d82c5cf869">  186</a></span>&#160;  };</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;  <span class="keyword">typedef</span> _Scalar <a class="code" href="classEigen_1_1Transform.html#aea29b63b6c32046ae9a471d82c5cf869">Scalar</a>;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;  <span class="keyword">typedef</span> DenseIndex Index;</div>
<div class="line"><a name="l00191"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a5a1112983fef15f856661bc7a70821c2">  191</a></span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Matrix.html">internal::make_proper_matrix_type&lt;Scalar,Rows,HDim,Options&gt;::type</a> <a class="code" href="classEigen_1_1Transform.html#a5a1112983fef15f856661bc7a70821c2">MatrixType</a>;</div>
<div class="line"><a name="l00193"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#ac02f5facfe284620ba0141a95ec9a8fa">  193</a></span>&#160;  <span class="keyword">typedef</span> <span class="keyword">const</span> MatrixType <a class="code" href="classEigen_1_1Transform.html#ac02f5facfe284620ba0141a95ec9a8fa">ConstMatrixType</a>;</div>
<div class="line"><a name="l00195"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#ade2ee06371d257b0eff58531d95a6474">  195</a></span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix&lt;Scalar,Dim,Dim,Options&gt;</a> <a class="code" href="classEigen_1_1Transform.html#ade2ee06371d257b0eff58531d95a6474">LinearMatrixType</a>;</div>
<div class="line"><a name="l00197"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#ace20e267fb08cb804ed64fd1dad1d17c">  197</a></span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Block.html">Block&lt;MatrixType,Dim,Dim,int(Mode)==(AffineCompact)&gt;</a> <a class="code" href="classEigen_1_1Transform.html#ace20e267fb08cb804ed64fd1dad1d17c">LinearPart</a>;</div>
<div class="line"><a name="l00199"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a8dcfbc5a318cc1f7d10073ffa959051c">  199</a></span>&#160;  <span class="keyword">typedef</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1Block.html">Block&lt;ConstMatrixType,Dim,Dim,int(Mode)==(AffineCompact)&gt;</a> <a class="code" href="classEigen_1_1Transform.html#a8dcfbc5a318cc1f7d10073ffa959051c">ConstLinearPart</a>;</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::conditional&lt;int(Mode)==int(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>),</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;                              MatrixType&amp;,</div>
<div class="line"><a name="l00203"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#aa15d55b76aa1df369db63ff8c000d71a">  203</a></span>&#160;                              <a class="code" href="classEigen_1_1Block.html">Block&lt;MatrixType,Dim,HDim&gt;</a> &gt;::type <a class="code" href="classEigen_1_1Transform.html#aa15d55b76aa1df369db63ff8c000d71a">AffinePart</a>;</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::conditional&lt;int(Mode)==int(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>),</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;                              <span class="keyword">const</span> MatrixType&amp;,</div>
<div class="line"><a name="l00207"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a76d43dc15b6966af98842e5219152cf2">  207</a></span>&#160;                              <span class="keyword">const</span> <a class="code" href="classEigen_1_1Block.html">Block&lt;const MatrixType,Dim,HDim&gt;</a> &gt;::type <a class="code" href="classEigen_1_1Transform.html#a76d43dc15b6966af98842e5219152cf2">ConstAffinePart</a>;</div>
<div class="line"><a name="l00209"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a0c16671587fa0dc76fafeb486d6461c3">  209</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_1Transform.html#a0c16671587fa0dc76fafeb486d6461c3">VectorType</a>;</div>
<div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#aa94dac47195ab409fd1535c152405505">  211</a></span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Block.html">Block&lt;MatrixType,Dim,1,int(Mode)==(AffineCompact)&gt;</a> <a class="code" href="classEigen_1_1Transform.html#aa94dac47195ab409fd1535c152405505">TranslationPart</a>;</div>
<div class="line"><a name="l00213"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a4b5352e0747f0354c659edf2eff9f35b">  213</a></span>&#160;  <span class="keyword">typedef</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1Block.html">Block&lt;ConstMatrixType,Dim,1,int(Mode)==(AffineCompact)&gt;</a> <a class="code" href="classEigen_1_1Transform.html#a4b5352e0747f0354c659edf2eff9f35b">ConstTranslationPart</a>;</div>
<div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#ac54aa49e111f1afc14c11a3a671993ca">  215</a></span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Translation.html">Translation&lt;Scalar,Dim&gt;</a> <a class="code" href="classEigen_1_1Transform.html#ac54aa49e111f1afc14c11a3a671993ca">TranslationType</a>;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;  </div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;  <span class="comment">// this intermediate enum is needed to avoid an ICE with gcc 3.4 and 4.0</span></div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;  <span class="keyword">enum</span> { TransformTimeDiagonalMode = ((Mode==int(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>))?<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Affine</a>:<span class="keywordtype">int</span>(Mode)) };</div>
<div class="line"><a name="l00220"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#adb187d1758687a8de4dd9ea275f2a0a7">  220</a></span>&#160;  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,TransformTimeDiagonalMode&gt;</a> <a class="code" href="classEigen_1_1Transform.html#adb187d1758687a8de4dd9ea275f2a0a7">TransformTimeDiagonalReturnType</a>;</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;  MatrixType m_matrix;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;</div>
<div class="line"><a name="l00230"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a9de68ec1c9b7809129814a3233ae4655">  230</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html#a9de68ec1c9b7809129814a3233ae4655">Transform</a>()</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;  {</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;    check_template_params();</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;    <span class="keywordflow">if</span> (<span class="keywordtype">int</span>(Mode)==<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Affine</a>)</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;      makeAffine();</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;  }</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; other)</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;  {</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;    check_template_params();</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;    m_matrix = other.m_matrix;</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;  }</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;  <span class="keyword">inline</span> <span class="keyword">explicit</span> Transform(<span class="keyword">const</span> TranslationType&amp; t)</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;  {</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;    check_template_params();</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;    *<span class="keyword">this</span> = t;</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;  }</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;  <span class="keyword">inline</span> <span class="keyword">explicit</span> Transform(<span class="keyword">const</span> UniformScaling&lt;Scalar&gt;&amp; s)</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;  {</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;    check_template_params();</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;    *<span class="keyword">this</span> = s;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;  }</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;  <span class="keyword">inline</span> <span class="keyword">explicit</span> Transform(<span class="keyword">const</span> RotationBase&lt;Derived, Dim&gt;&amp; r)</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;  {</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;    check_template_params();</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;    *<span class="keyword">this</span> = r;</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;  }</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;  <span class="keyword">inline</span> Transform&amp; operator=(<span class="keyword">const</span> Transform&amp; other)</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;  { m_matrix = other.m_matrix; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;  <span class="keyword">typedef</span> internal::transform_take_affine_part&lt;Transform&gt; take_affine_part;</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00267"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#ae80ecf3abb4b22d409c5adbd19850aa8">  267</a></span>&#160;  <span class="keyword">inline</span> <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1Transform.html#ae80ecf3abb4b22d409c5adbd19850aa8">Transform</a>(<span class="keyword">const</span> <a class="code" href="structEigen_1_1EigenBase.html">EigenBase&lt;OtherDerived&gt;</a>&amp; other)</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;  {</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;    EIGEN_STATIC_ASSERT((internal::is_same&lt;Scalar,typename OtherDerived::Scalar&gt;::value),</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;      YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY);</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;    check_template_params();</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;    internal::transform_construct_from_matrix&lt;OtherDerived,Mode,Options,Dim,HDim&gt;::run(<span class="keyword">this</span>, other.<a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>());</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;  }</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00278"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a746fdf41f0377f203f231a1705cf6012">  278</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; <a class="code" href="classEigen_1_1Transform.html#a746fdf41f0377f203f231a1705cf6012">operator=</a>(<span class="keyword">const</span> <a class="code" href="structEigen_1_1EigenBase.html">EigenBase&lt;OtherDerived&gt;</a>&amp; other)</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;  {</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;    EIGEN_STATIC_ASSERT((internal::is_same&lt;Scalar,typename OtherDerived::Scalar&gt;::value),</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;      YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY);</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;    internal::transform_construct_from_matrix&lt;OtherDerived,Mode,Options,Dim,HDim&gt;::run(<span class="keyword">this</span>, other.<a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>());</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;  }</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;  </div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,OtherOptions&gt;</a>&amp; other)</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;  {</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;    check_template_params();</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;    <span class="comment">// only the options change, we can directly copy the matrices</span></div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;    m_matrix = other.matrix();</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;  }</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> OtherMode,<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;  <span class="keyword">inline</span> Transform(<span class="keyword">const</span> Transform&lt;Scalar,Dim,OtherMode,OtherOptions&gt;&amp; other)</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;  {</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;    check_template_params();</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;    <span class="comment">// prevent conversions as:</span></div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;    <span class="comment">// Affine | AffineCompact | Isometry = Projective</span></div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;    EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(OtherMode==<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a>), Mode==<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a>)),</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;                        YOU_PERFORMED_AN_INVALID_TRANSFORMATION_CONVERSION)</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;    <span class="comment">// prevent conversions as:</span></div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;    <span class="comment">// Isometry = Affine | AffineCompact</span></div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;    EIGEN_STATIC_ASSERT(EIGEN_IMPLIES(OtherMode==<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Affine</a>)||OtherMode==<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>), Mode!=<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>)),</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;                        YOU_PERFORMED_AN_INVALID_TRANSFORMATION_CONVERSION)</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;    enum { ModeIsAffineCompact = Mode == int(AffineCompact),</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;           OtherModeIsAffineCompact = OtherMode == int(AffineCompact)</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;    };</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;    <span class="keywordflow">if</span>(ModeIsAffineCompact == OtherModeIsAffineCompact)</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;    {</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;      <span class="comment">// We need the block expression because the code is compiled for all</span></div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;      <span class="comment">// combinations of transformations and will trigger a compile time error</span></div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;      <span class="comment">// if one tries to assign the matrices directly</span></div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;      m_matrix.template block&lt;Dim,Dim+1&gt;(0,0) = other.matrix().template block&lt;Dim,Dim+1&gt;(0,0);</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;      makeAffine();</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;    }</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;    <span class="keywordflow">else</span> <span class="keywordflow">if</span>(OtherModeIsAffineCompact)</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;    {</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> Transform&lt;Scalar,Dim,OtherMode,OtherOptions&gt;::MatrixType OtherMatrixType;</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;      internal::transform_construct_from_matrix&lt;OtherMatrixType,Mode,Options,Dim,HDim&gt;::run(<span class="keyword">this</span>, other.matrix());</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;    }</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;    {</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;      <span class="comment">// here we know that Mode == AffineCompact and OtherMode != AffineCompact.</span></div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;      <span class="comment">// if OtherMode were Projective, the static assert above would already have caught it.</span></div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;      <span class="comment">// So the only possibility is that OtherMode == Affine</span></div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;      linear() = other.linear();</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;      translation() = other.translation();</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;    }</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;  }</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;  Transform(<span class="keyword">const</span> ReturnByValue&lt;OtherDerived&gt;&amp; other)</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;  {</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;    check_template_params();</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    other.evalTo(*<span class="keyword">this</span>);</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;  }</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;  Transform&amp; operator=(<span class="keyword">const</span> ReturnByValue&lt;OtherDerived&gt;&amp; other)</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;  {</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;    other.evalTo(*<span class="keyword">this</span>);</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;  }</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;<span class="preprocessor">  #ifdef EIGEN_QT_SUPPORT</span></div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;<span class="preprocessor"></span>  <span class="keyword">inline</span> Transform(<span class="keyword">const</span> QMatrix&amp; other);</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;  <span class="keyword">inline</span> Transform&amp; operator=(<span class="keyword">const</span> QMatrix&amp; other);</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;  <span class="keyword">inline</span> QMatrix toQMatrix(<span class="keywordtype">void</span>) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;  <span class="keyword">inline</span> Transform(<span class="keyword">const</span> QTransform&amp; other);</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;  <span class="keyword">inline</span> Transform&amp; operator=(<span class="keyword">const</span> QTransform&amp; other);</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;  <span class="keyword">inline</span> QTransform toQTransform(<span class="keywordtype">void</span>) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;<span class="preprocessor">  #endif</span></div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00361"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a84a0005514199136b5d20d8e626d47ff">  361</a></span>&#160;  <span class="keyword">inline</span> Scalar operator() (Index row, Index col)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_matrix(row,col); }</div>
<div class="line"><a name="l00364"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#ac40b13c3b1b753f4f6aa8c6885eec706">  364</a></span>&#160;  <span class="keyword">inline</span> Scalar&amp; operator() (Index row, Index col) { <span class="keywordflow">return</span> m_matrix(row,col); }</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;</div>
<div class="line"><a name="l00367"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#abc21b93260324521746a4ca2efacba90">  367</a></span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> MatrixType&amp; <a class="code" href="classEigen_1_1Transform.html#abc21b93260324521746a4ca2efacba90">matrix</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_matrix; }</div>
<div class="line"><a name="l00369"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#ad7355bb89f8429007277363642c90bfd">  369</a></span>&#160;  <span class="keyword">inline</span> MatrixType&amp; <a class="code" href="classEigen_1_1Transform.html#ad7355bb89f8429007277363642c90bfd">matrix</a>() { <span class="keywordflow">return</span> m_matrix; }</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;</div>
<div class="line"><a name="l00372"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#abbee559820c5cdfe7653a646396b0a8f">  372</a></span>&#160;  <span class="keyword">inline</span> ConstLinearPart <a class="code" href="classEigen_1_1Transform.html#abbee559820c5cdfe7653a646396b0a8f">linear</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> ConstLinearPart(m_matrix,0,0); }</div>
<div class="line"><a name="l00374"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a66704eaad42c9dd8f3723746e264fcb2">  374</a></span>&#160;  <span class="keyword">inline</span> LinearPart <a class="code" href="classEigen_1_1Transform.html#a66704eaad42c9dd8f3723746e264fcb2">linear</a>() { <span class="keywordflow">return</span> LinearPart(m_matrix,0,0); }</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;</div>
<div class="line"><a name="l00377"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a4edf00461b9e1ce0abb791cee8a12ca5">  377</a></span>&#160;  <span class="keyword">inline</span> ConstAffinePart <a class="code" href="classEigen_1_1Transform.html#a4edf00461b9e1ce0abb791cee8a12ca5">affine</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> take_affine_part::run(m_matrix); }</div>
<div class="line"><a name="l00379"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#aa8e36298662286f4619b2cedf09e31e7">  379</a></span>&#160;  <span class="keyword">inline</span> AffinePart <a class="code" href="classEigen_1_1Transform.html#aa8e36298662286f4619b2cedf09e31e7">affine</a>() { <span class="keywordflow">return</span> take_affine_part::run(m_matrix); }</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;</div>
<div class="line"><a name="l00382"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a4619e6e4e0659443ad2bdb24c80af281">  382</a></span>&#160;  <span class="keyword">inline</span> ConstTranslationPart <a class="code" href="classEigen_1_1Transform.html#a4619e6e4e0659443ad2bdb24c80af281">translation</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> ConstTranslationPart(m_matrix,0,Dim); }</div>
<div class="line"><a name="l00384"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a79881f97c02305c0eb4820d7df00bc09">  384</a></span>&#160;  <span class="keyword">inline</span> TranslationPart <a class="code" href="classEigen_1_1Transform.html#a79881f97c02305c0eb4820d7df00bc09">translation</a>() { <span class="keywordflow">return</span> TranslationPart(m_matrix,0,Dim); }</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;  <span class="comment">// note: this function is defined here because some compilers cannot find the respective declaration</span></div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;  EIGEN_STRONG_INLINE <span class="keyword">const</span> <span class="keyword">typename</span> internal::transform_right_product_impl&lt;Transform, OtherDerived&gt;::ResultType</div>
<div class="line"><a name="l00400"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a3846f7a4b892ed530881f52a5460ddf6">  400</a></span>&#160;  <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator * </a>(<span class="keyword">const</span> <a class="code" href="structEigen_1_1EigenBase.html">EigenBase&lt;OtherDerived&gt;</a> &amp;other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> internal::transform_right_product_impl&lt;Transform, OtherDerived&gt;::run(*<span class="keyword">this</span>,other.<a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>()); }</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</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="l00411"></a><span class="lineno">  411</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> <span class="keyword">typename</span> internal::transform_left_product_impl&lt;OtherDerived,Mode,Options,_Dim,_Dim+1&gt;::ResultType</div>
<div class="line"><a name="l00412"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a213c219b6aa33d8348eaee56bc40bd7d">  412</a></span>&#160;    <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator * </a>(<span class="keyword">const</span> <a class="code" href="structEigen_1_1EigenBase.html">EigenBase&lt;OtherDerived&gt;</a> &amp;a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a> &amp;b)</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;  { <span class="keywordflow">return</span> internal::transform_left_product_impl&lt;OtherDerived,Mode,Options,Dim,HDim&gt;::run(a.<a class="code" href="structEigen_1_1EigenBase.html#aa84222add803ad7c9db07dd4dd91d5d9">derived</a>(),b); }</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> DiagonalDerived&gt;</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> TransformTimeDiagonalReturnType</div>
<div class="line"><a name="l00423"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a4c475d88c97a844134130c603b4c6fe6">  423</a></span>&#160;    <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator * </a>(<span class="keyword">const</span> DiagonalBase&lt;DiagonalDerived&gt; &amp;b)<span class="keyword"> const</span></div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;    TransformTimeDiagonalReturnType res(*<span class="keyword">this</span>);</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;    res.<a class="code" href="classEigen_1_1Transform.html#abbee559820c5cdfe7653a646396b0a8f">linear</a>() *= b;</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;  }</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> DiagonalDerived&gt;</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;  <span class="keyword">friend</span> <span class="keyword">inline</span> TransformTimeDiagonalReturnType</div>
<div class="line"><a name="l00438"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a8941cc25b120ff7ee7b435150ba699b3">  438</a></span>&#160;    <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator * </a>(<span class="keyword">const</span> DiagonalBase&lt;DiagonalDerived&gt; &amp;a, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a> &amp;b)</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;  {</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;    TransformTimeDiagonalReturnType res;</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;    res.<a class="code" href="classEigen_1_1Transform.html#abbee559820c5cdfe7653a646396b0a8f">linear</a>().noalias() = a*b.linear();</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;    res.<a class="code" href="classEigen_1_1Transform.html#a4619e6e4e0659443ad2bdb24c80af281">translation</a>().noalias() = a*b.translation();</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;    <span class="keywordflow">if</span> (Mode!=<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>))</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</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) = b.matrix().row(Dim);</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;  }</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; operator*=(<span class="keyword">const</span> <a class="code" href="structEigen_1_1EigenBase.html">EigenBase&lt;OtherDerived&gt;</a>&amp; other) { <span class="keywordflow">return</span> *<span class="keyword">this</span> = *<span class="keyword">this</span> * other; }</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;</div>
<div class="line"><a name="l00452"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a3001cf5afd95d96a4a229e0c5f817364">  452</a></span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a> <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator * </a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;    <span class="keywordflow">return</span> internal::transform_transform_product_impl&lt;Transform,Transform&gt;::run(*<span class="keyword">this</span>,other);</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;  }</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;  </div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;<span class="preprocessor">  #ifdef __INTEL_COMPILER</span></div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;<span class="preprocessor"></span><span class="keyword">private</span>:</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;  <span class="comment">// this intermediate structure permits to workaround a bug in ICC 11:</span></div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;  <span class="comment">//   error: template instantiation resulted in unexpected function type of &quot;Eigen::Transform&lt;double, 3, 32, 0&gt;</span></div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;  <span class="comment">//             (const Eigen::Transform&lt;double, 3, 2, 0&gt; &amp;) const&quot;</span></div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;  <span class="comment">//  (the meaning of a name may have changed since the template declaration -- the type of the template is:</span></div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;  <span class="comment">// &quot;Eigen::internal::transform_transform_product_impl&lt;Eigen::Transform&lt;double, 3, 32, 0&gt;,</span></div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;  <span class="comment">//     Eigen::Transform&lt;double, 3, Mode, Options&gt;, &lt;expression&gt;&gt;::ResultType (const Eigen::Transform&lt;double, 3, Mode, Options&gt; &amp;) const&quot;)</span></div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;  <span class="comment">// </span></div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> OtherMode,<span class="keywordtype">int</span> OtherOptions&gt; <span class="keyword">struct </span>icc_11_workaround</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;  {</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;    <span class="keyword">typedef</span> internal::transform_transform_product_impl&lt;Transform,Transform&lt;Scalar,Dim,OtherMode,OtherOptions&gt; &gt; ProductType;</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> ProductType::ResultType ResultType;</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;  };</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;  </div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> OtherMode,<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;  <span class="keyword">inline</span> <span class="keyword">typename</span> icc_11_workaround&lt;OtherMode,OtherOptions&gt;::ResultType</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;    <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator * </a>(<span class="keyword">const</span> Transform&lt;Scalar,Dim,OtherMode,OtherOptions&gt;&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> icc_11_workaround&lt;OtherMode,OtherOptions&gt;::ProductType ProductType;</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;    <span class="keywordflow">return</span> ProductType::run(*<span class="keyword">this</span>,other);</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;  }</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;<span class="preprocessor">  #else</span></div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;  <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> OtherMode,<span class="keywordtype">int</span> OtherOptions&gt;</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;  <span class="keyword">inline</span> <span class="keyword">typename</span> internal::transform_transform_product_impl&lt;Transform,Transform&lt;Scalar,Dim,OtherMode,OtherOptions&gt; &gt;::ResultType</div>
<div class="line"><a name="l00485"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a75c357d299b0aa35926bc4602e9ee11e">  485</a></span>&#160;    <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator * </a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,OtherMode,OtherOptions&gt;</a>&amp; other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;    <span class="keywordflow">return</span> internal::transform_transform_product_impl&lt;Transform,Transform&lt;Scalar,Dim,OtherMode,OtherOptions&gt; &gt;::run(*<span class="keyword">this</span>,other);</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;  }</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;<span class="preprocessor">  #endif</span></div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00492"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a382e6ad7e6721b121e510959e1011be3">  492</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1Transform.html#a382e6ad7e6721b121e510959e1011be3">setIdentity</a>() { m_matrix.<a class="code" href="classEigen_1_1MatrixBase.html#af1b15ae4c6f69b7324dd8ef70089dfc3">setIdentity</a>(); }</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;</div>
<div class="line"><a name="l00498"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a70ece05618a24131d9bf29162a700c58">  498</a></span>&#160;  <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a> <a class="code" href="classEigen_1_1Transform.html#a70ece05618a24131d9bf29162a700c58">Identity</a>()</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;  {</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>(MatrixType::Identity());</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;  }</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; scale(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;OtherDerived&gt;</a> &amp;other);</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; prescale(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;OtherDerived&gt;</a> &amp;other);</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; scale(<span class="keyword">const</span> Scalar&amp; s);</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; prescale(<span class="keyword">const</span> Scalar&amp; s);</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; translate(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;OtherDerived&gt;</a> &amp;other);</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; pretranslate(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;OtherDerived&gt;</a> &amp;other);</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> RotationType&gt;</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; rotate(<span class="keyword">const</span> RotationType&amp; rotation);</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> RotationType&gt;</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; prerotate(<span class="keyword">const</span> RotationType&amp; rotation);</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;  <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; shear(<span class="keyword">const</span> Scalar&amp; sx, <span class="keyword">const</span> Scalar&amp; sy);</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;  <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; preshear(<span class="keyword">const</span> Scalar&amp; sx, <span class="keyword">const</span> Scalar&amp; sy);</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; operator=(<span class="keyword">const</span> TranslationType&amp; t);</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; operator*=(<span class="keyword">const</span> TranslationType&amp; t) { <span class="keywordflow">return</span> translate(t.vector()); }</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;  <span class="keyword">inline</span> Transform <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>(<span class="keyword">const</span> TranslationType&amp; t) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;  <span class="keyword">inline</span> Transform&amp; operator=(<span class="keyword">const</span> UniformScaling&lt;Scalar&gt;&amp; t);</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;  <span class="keyword">inline</span> Transform&amp; operator*=(<span class="keyword">const</span> UniformScaling&lt;Scalar&gt;&amp; s) { <span class="keywordflow">return</span> scale(s.factor()); }</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;  <span class="keyword">inline</span> Transform&lt;Scalar,Dim,(int(Mode)==int(Isometry)?Affine:Isometry)&gt; <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>(<span class="keyword">const</span> UniformScaling&lt;Scalar&gt;&amp; s)<span class="keyword"> const</span></div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;<span class="keyword">  </span>{</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;    Transform&lt;Scalar,Dim,(int(Mode)==int(Isometry)?Affine:Isometry),Options&gt; res = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;    res.scale(s.factor());</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;  }</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;  <span class="keyword">inline</span> Transform&amp; operator*=(<span class="keyword">const</span> DiagonalMatrix&lt;Scalar,Dim&gt;&amp; s) { linear() *= s; <span class="keywordflow">return</span> *<span class="keyword">this</span>; }</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;  <span class="keyword">inline</span> Transform&amp; operator=(<span class="keyword">const</span> RotationBase&lt;Derived,Dim&gt;&amp; r);</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;  <span class="keyword">inline</span> Transform&amp; operator*=(<span class="keyword">const</span> RotationBase&lt;Derived,Dim&gt;&amp; r) { <span class="keywordflow">return</span> rotate(r.toRotationMatrix()); }</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;  <span class="keyword">inline</span> Transform <a class="code" href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">operator*</a>(<span class="keyword">const</span> RotationBase&lt;Derived,Dim&gt;&amp; r) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;  <span class="keyword">const</span> LinearMatrixType rotation() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> RotationMatrixType, <span class="keyword">typename</span> ScalingMatrixType&gt;</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;  <span class="keywordtype">void</span> computeRotationScaling(RotationMatrixType *rotation, ScalingMatrixType *scaling) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> ScalingMatrixType, <span class="keyword">typename</span> RotationMatrixType&gt;</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;  <span class="keywordtype">void</span> computeScalingRotation(ScalingMatrixType *scaling, RotationMatrixType *rotation) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> PositionDerived, <span class="keyword">typename</span> OrientationType, <span class="keyword">typename</span> ScaleDerived&gt;</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;  Transform&amp; fromPositionOrientationScale(<span class="keyword">const</span> MatrixBase&lt;PositionDerived&gt; &amp;position,</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;    <span class="keyword">const</span> OrientationType&amp; orientation, <span class="keyword">const</span> MatrixBase&lt;ScaleDerived&gt; &amp;scale);</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;  <span class="keyword">inline</span> Transform inverse(<a class="code" href="group__enums.html#ga302a826315506a7217d4b477ea78425f">TransformTraits</a> traits = (<a class="code" href="group__enums.html#ga302a826315506a7217d4b477ea78425f">TransformTraits</a>)Mode) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;</div>
<div class="line"><a name="l00562"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a40dcc334db75411e168691d9bce08c3a">  562</a></span>&#160;  <span class="keyword">const</span> Scalar* <a class="code" href="classEigen_1_1Transform.html#a40dcc334db75411e168691d9bce08c3a">data</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_matrix.<a class="code" href="classEigen_1_1PlainObjectBase.html#a40dcc334db75411e168691d9bce08c3a">data</a>(); }</div>
<div class="line"><a name="l00564"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a4663159a1450fa89214b1ab71f7ef5bf">  564</a></span>&#160;  Scalar* <a class="code" href="classEigen_1_1Transform.html#a4663159a1450fa89214b1ab71f7ef5bf">data</a>() { <span class="keywordflow">return</span> m_matrix.<a class="code" href="classEigen_1_1PlainObjectBase.html#a40dcc334db75411e168691d9bce08c3a">data</a>(); }</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> NewScalarType&gt;</div>
<div class="line"><a name="l00572"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a5d8d5b5101ca4b34cb88fd4f71cec08e">  572</a></span>&#160;  <span class="keyword">inline</span> <span class="keyword">typename</span> internal::cast_return_type&lt;Transform,Transform&lt;NewScalarType,Dim,Mode,Options&gt; &gt;::type <a class="code" href="classEigen_1_1Transform.html#a5d8d5b5101ca4b34cb88fd4f71cec08e">cast</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> <span class="keyword">typename</span> internal::cast_return_type&lt;Transform,Transform&lt;NewScalarType,Dim,Mode,Options&gt; &gt;::type(*<span class="keyword">this</span>); }</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherScalarType&gt;</div>
<div class="line"><a name="l00577"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a4a1ecdb7e8eb963f3e167fa99faa5e95">  577</a></span>&#160;  <span class="keyword">inline</span> <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1Transform.html#a4a1ecdb7e8eb963f3e167fa99faa5e95">Transform</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;OtherScalarType,Dim,Mode,Options&gt;</a>&amp; other)</div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;  {</div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;    check_template_params();</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;    m_matrix = other.matrix().template cast&lt;Scalar&gt;();</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;  }</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;</div>
<div class="line"><a name="l00587"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a970e36d17bd859badeacfbe73bc7364b">  587</a></span>&#160;  <span class="keywordtype">bool</span> <a class="code" href="classEigen_1_1Transform.html#a970e36d17bd859badeacfbe73bc7364b">isApprox</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform</a>&amp; other, <span class="keyword">const</span> <span class="keyword">typename</span> <a class="code" href="structEigen_1_1NumTraits.html">NumTraits&lt;Scalar&gt;::Real</a>&amp; 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="l00588"></a><span class="lineno">  588</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> m_matrix.<a class="code" href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">isApprox</a>(other.m_matrix, prec); }</div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;</div>
<div class="line"><a name="l00592"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a3de2b78841914f0f4e2a523c88b8530e">  592</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1Transform.html#a3de2b78841914f0f4e2a523c88b8530e">makeAffine</a>()</div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;  {</div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;    <span class="keywordflow">if</span>(<span class="keywordtype">int</span>(Mode)!=<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>))</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;    {</div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;      matrix().template block&lt;1,Dim&gt;(Dim,0).setZero();</div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;      matrix().coeffRef(Dim,Dim) = Scalar(1);</div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;    }</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;  }</div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Block.html">Block&lt;MatrixType,int(Mode)==int(Projective)?HDim:Dim,Dim&gt;</a> linearExt()</div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;  { <span class="keywordflow">return</span> m_matrix.template block&lt;int(Mode)==int(Projective)?HDim:Dim,Dim&gt;(0,0); }</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> Block&lt;MatrixType,int(Mode)==int(Projective)?HDim:Dim,Dim&gt; linearExt()<span class="keyword"> const</span></div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> m_matrix.template block&lt;int(Mode)==int(Projective)?HDim:Dim,Dim&gt;(0,0); }</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;  <span class="keyword">inline</span> Block&lt;MatrixType,int(Mode)==int(Projective)?HDim:Dim,1&gt; translationExt()</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;  { <span class="keywordflow">return</span> m_matrix.template block&lt;int(Mode)==int(Projective)?HDim:Dim,1&gt;(0,Dim); }</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> Block&lt;MatrixType,int(Mode)==int(Projective)?HDim:Dim,1&gt; translationExt()<span class="keyword"> const</span></div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;<span class="keyword">  </span>{ <span class="keywordflow">return</span> m_matrix.template block&lt;int(Mode)==int(Projective)?HDim:Dim,1&gt;(0,Dim); }</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;<span class="preprocessor">  #ifdef EIGEN_TRANSFORM_PLUGIN</span></div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;<span class="preprocessor"></span><span class="preprocessor">  #include EIGEN_TRANSFORM_PLUGIN</span></div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;<span class="preprocessor"></span><span class="preprocessor">  #endif</span></div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;<span class="preprocessor"></span>  </div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;<span class="preprocessor">  #ifndef EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;<span class="preprocessor"></span>    <span class="keyword">static</span> EIGEN_STRONG_INLINE <span class="keywordtype">void</span> check_template_params()</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;    {</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;      EIGEN_STATIC_ASSERT((Options &amp; (<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda761c0504a518c7450ed6dfe9eaeab8a6">DontAlign</a>|<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a>)) == Options, INVALID_MATRIX_TEMPLATE_PARAMETERS)</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;    }</div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;<span class="preprocessor">  #endif</span></div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;};</div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;</div>
<div class="line"><a name="l00643"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#ga4ee356e527fdc5aa9b048542ff6d4278">  643</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;float,2,Isometry&gt;</a> <a class="code" href="group__Geometry__Module.html#ga4ee356e527fdc5aa9b048542ff6d4278">Isometry2f</a>;</div>
<div class="line"><a name="l00645"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#gaaab0779d16c81454c038cee3324585f2">  645</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;float,3,Isometry&gt;</a> <a class="code" href="group__Geometry__Module.html#gaaab0779d16c81454c038cee3324585f2">Isometry3f</a>;</div>
<div class="line"><a name="l00647"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#ga3802603a0c0017d3bc38e1c2483bc0c8">  647</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;double,2,Isometry&gt;</a> <a class="code" href="group__Geometry__Module.html#ga3802603a0c0017d3bc38e1c2483bc0c8">Isometry2d</a>;</div>
<div class="line"><a name="l00649"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#gaf6a2d462b1cb12f96cb6baedc132a3f2">  649</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;double,3,Isometry&gt;</a> <a class="code" href="group__Geometry__Module.html#gaf6a2d462b1cb12f96cb6baedc132a3f2">Isometry3d</a>;</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;</div>
<div class="line"><a name="l00652"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#gaaacee014168e2286115b9acd93de9c77">  652</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;float,2,Affine&gt;</a> <a class="code" href="group__Geometry__Module.html#gaaacee014168e2286115b9acd93de9c77">Affine2f</a>;</div>
<div class="line"><a name="l00654"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#gaca1e57a15de08fe20c934c5600f19314">  654</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;float,3,Affine&gt;</a> <a class="code" href="group__Geometry__Module.html#gaca1e57a15de08fe20c934c5600f19314">Affine3f</a>;</div>
<div class="line"><a name="l00656"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#gaac62cb423a4af85793c656a9848282a0">  656</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;double,2,Affine&gt;</a> <a class="code" href="group__Geometry__Module.html#gaac62cb423a4af85793c656a9848282a0">Affine2d</a>;</div>
<div class="line"><a name="l00658"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#ga1cee3e45cad60050d3c94cf603e2ff45">  658</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;double,3,Affine&gt;</a> <a class="code" href="group__Geometry__Module.html#ga1cee3e45cad60050d3c94cf603e2ff45">Affine3d</a>;</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;</div>
<div class="line"><a name="l00661"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#ga2ffd4a2121dd59a3955735299e5e6364">  661</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;float,2,AffineCompact&gt;</a> <a class="code" href="group__Geometry__Module.html#ga2ffd4a2121dd59a3955735299e5e6364">AffineCompact2f</a>;</div>
<div class="line"><a name="l00663"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#ga1c999eef555fe940f147f3e8d18be6de">  663</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;float,3,AffineCompact&gt;</a> <a class="code" href="group__Geometry__Module.html#ga1c999eef555fe940f147f3e8d18be6de">AffineCompact3f</a>;</div>
<div class="line"><a name="l00665"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#gaa44476c8fb0e300b47e21111db7f8224">  665</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;double,2,AffineCompact&gt;</a> <a class="code" href="group__Geometry__Module.html#gaa44476c8fb0e300b47e21111db7f8224">AffineCompact2d</a>;</div>
<div class="line"><a name="l00667"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#ga40d0ecae258b06c9633323da78162515">  667</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;double,3,AffineCompact&gt;</a> <a class="code" href="group__Geometry__Module.html#ga40d0ecae258b06c9633323da78162515">AffineCompact3d</a>;</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;</div>
<div class="line"><a name="l00670"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#ga0af228e7443e5447de55bc7ba10b4d8e">  670</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;float,2,Projective&gt;</a> <a class="code" href="group__Geometry__Module.html#ga0af228e7443e5447de55bc7ba10b4d8e">Projective2f</a>;</div>
<div class="line"><a name="l00672"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#gaaf2985f9f12b96ba19c07a5ecd47056b">  672</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;float,3,Projective&gt;</a> <a class="code" href="group__Geometry__Module.html#gaaf2985f9f12b96ba19c07a5ecd47056b">Projective3f</a>;</div>
<div class="line"><a name="l00674"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#gab2b63f5ecf343e58bee2eb482592bc49">  674</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;double,2,Projective&gt;</a> <a class="code" href="group__Geometry__Module.html#gab2b63f5ecf343e58bee2eb482592bc49">Projective2d</a>;</div>
<div class="line"><a name="l00676"></a><span class="lineno"><a class="line" href="group__Geometry__Module.html#gad835f3f4d1783ee8b7ff85af90b9d13e">  676</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;double,3,Projective&gt;</a> <a class="code" href="group__Geometry__Module.html#gad835f3f4d1783ee8b7ff85af90b9d13e">Projective3d</a>;</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;<span class="comment">/**************************</span></div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;<span class="comment">*** Optional QT support ***</span></div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;<span class="comment">**************************/</span></div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;<span class="preprocessor">#ifdef EIGEN_QT_SUPPORT</span></div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;<span class="preprocessor"></span></div>
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<div class="line"><a name="l00688"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#aa5e266f2a7d9007d41655186de5b66be">  688</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html#a9de68ec1c9b7809129814a3233ae4655">Transform&lt;Scalar,Dim,Mode,Options&gt;::Transform</a>(<span class="keyword">const</span> QMatrix&amp; other)</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;{</div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;  check_template_params();</div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;  *<span class="keyword">this</span> = other;</div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;}</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode,<span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00699"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#aa9e304d555b96b73ac4e8ca5a7f90d65">  699</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp; <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::operator=</a>(<span class="keyword">const</span> QMatrix&amp; other)</div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;{</div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;  EIGEN_STATIC_ASSERT(Dim==2, YOU_MADE_A_PROGRAMMING_MISTAKE)</div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;  m_matrix &lt;&lt; other.m11(), other.m21(), other.dx(),</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;              other.m12(), other.m22(), other.dy(),</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;              0, 0, 1;</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;}</div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;</div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00715"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a4721b3c0d0dc5c79fcd5dac8a352bc5c">  715</a></span>&#160;QMatrix <a class="code" href="classEigen_1_1Transform.html#a4721b3c0d0dc5c79fcd5dac8a352bc5c">Transform&lt;Scalar,Dim,Mode,Options&gt;::toQMatrix</a>(<span class="keywordtype">void</span>)<span class="keyword"> const</span></div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;  check_template_params();</div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;  EIGEN_STATIC_ASSERT(Dim==2, YOU_MADE_A_PROGRAMMING_MISTAKE)</div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;  <span class="keywordflow">return</span> QMatrix(m_matrix.coeff(0,0), m_matrix.coeff(1,0),</div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;                 m_matrix.coeff(0,1), m_matrix.coeff(1,1),</div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;                 m_matrix.coeff(0,2), m_matrix.coeff(1,2));</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;}</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;</div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode,<span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00729"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a57dc9afa8645010c63677a60457071b2">  729</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html#a9de68ec1c9b7809129814a3233ae4655">Transform&lt;Scalar,Dim,Mode,Options&gt;::Transform</a>(<span class="keyword">const</span> QTransform&amp; other)</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;{</div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;  check_template_params();</div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;  *<span class="keyword">this</span> = other;</div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;}</div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;</div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00740"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#aa5c4642624c7a29a23032328556cf7e7">  740</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp; <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::operator=</a>(<span class="keyword">const</span> QTransform&amp; other)</div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;{</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;  check_template_params();</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;  EIGEN_STATIC_ASSERT(Dim==2, YOU_MADE_A_PROGRAMMING_MISTAKE)</div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;  <span class="keywordflow">if</span> (Mode == <span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>))</div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;    m_matrix &lt;&lt; other.m11(), other.m21(), other.dx(),</div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;                other.m12(), other.m22(), other.dy();</div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;                other.m12(), other.m22(), other.dy(),</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;                other.m13(), other.m23(), other.m33();</div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;}</div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;</div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00759"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a58efdb505853955c01927ab52d1ea88f">  759</a></span>&#160;QTransform <a class="code" href="classEigen_1_1Transform.html#a58efdb505853955c01927ab52d1ea88f">Transform&lt;Scalar,Dim,Mode,Options&gt;::toQTransform</a>(<span class="keywordtype">void</span>)<span class="keyword"> const</span></div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;  EIGEN_STATIC_ASSERT(Dim==2, YOU_MADE_A_PROGRAMMING_MISTAKE)</div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;  <span class="keywordflow">if</span> (Mode == <span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>))</div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;    <span class="keywordflow">return</span> QTransform(m_matrix.coeff(0,0), m_matrix.coeff(1,0),</div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;                      m_matrix.coeff(0,1), m_matrix.coeff(1,1),</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;                      m_matrix.coeff(0,2), m_matrix.coeff(1,2));</div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;                      m_matrix.coeff(0,1), m_matrix.coeff(1,1), m_matrix.coeff(2,1),</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;                      m_matrix.coeff(0,2), m_matrix.coeff(1,2), m_matrix.coeff(2,2));</div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;}</div>
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<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;<span class="comment">/*********************</span></div>
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<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;<span class="comment">*********************/</span></div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;</div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp;</div>
<div class="line"><a name="l00784"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a5984c8ce095784e40ef2d526fa98656b">  784</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::scale</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;OtherDerived&gt;</a> &amp;other)</div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;{</div>
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<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;  EIGEN_STATIC_ASSERT(Mode!=<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>), THIS_METHOD_IS_ONLY_FOR_SPECIFIC_TRANSFORMATIONS)</div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;  linearExt().noalias() = (linearExt() * other.<a class="code" href="classEigen_1_1MatrixBase.html#adaf22d3a2069ec2c0df912cb87329e9c">asDiagonal</a>());</div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;}</div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;</div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00797"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a8dfff7973fce3c259e1a2b128015abac">  797</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp; <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::scale</a>(<span class="keyword">const</span> Scalar&amp; s)</div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;{</div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;  EIGEN_STATIC_ASSERT(Mode!=<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>), THIS_METHOD_IS_ONLY_FOR_SPECIFIC_TRANSFORMATIONS)</div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;  linearExt() *= s;</div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;}</div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;</div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp;</div>
<div class="line"><a name="l00811"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a5c73e5a2756162e5fd57d9ec1edb7ee2">  811</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::prescale</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;OtherDerived&gt;</a> &amp;other)</div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;{</div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;  EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(OtherDerived,<span class="keywordtype">int</span>(Dim))</div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;  EIGEN_STATIC_ASSERT(Mode!=<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>), THIS_METHOD_IS_ONLY_FOR_SPECIFIC_TRANSFORMATIONS)</div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;  m_matrix.template block&lt;Dim,HDim&gt;(0,0).noalias() = (other.<a class="code" href="classEigen_1_1MatrixBase.html#adaf22d3a2069ec2c0df912cb87329e9c">asDiagonal</a>() * m_matrix.template block&lt;Dim,HDim&gt;(0,0));</div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;}</div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;</div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00824"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a9310182d5c7b018efc022fec6601100d">  824</a></span>&#160;<span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp; <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::prescale</a>(<span class="keyword">const</span> Scalar&amp; s)</div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;{</div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;  EIGEN_STATIC_ASSERT(Mode!=<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>), THIS_METHOD_IS_ONLY_FOR_SPECIFIC_TRANSFORMATIONS)</div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160;  m_matrix.template topRows&lt;Dim&gt;() *= s;</div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;}</div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;</div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp;</div>
<div class="line"><a name="l00838"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a8fee784230fc83408b39716dc3fa9ab3">  838</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::translate</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;OtherDerived&gt;</a> &amp;other)</div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;{</div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;  EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(OtherDerived,<span class="keywordtype">int</span>(Dim))</div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;  translationExt() += linearExt() * other;</div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;}</div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;</div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> OtherDerived&gt;</div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp;</div>
<div class="line"><a name="l00852"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a2f4920998698b8aadde6f71151ece99c">  852</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::pretranslate</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;OtherDerived&gt;</a> &amp;other)</div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;{</div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;  EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(OtherDerived,<span class="keywordtype">int</span>(Dim))</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;  <span class="keywordflow">if</span>(<span class="keywordtype">int</span>(Mode)==<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a>))</div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;    affine() += other * m_matrix.<a class="code" href="classEigen_1_1DenseBase.html#aa8716d44f51321072ee5c88665c28813">row</a>(Dim);</div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;    translation() += other;</div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;}</div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;</div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> RotationType&gt;</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp;</div>
<div class="line"><a name="l00882"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a2ed345ee2437ea5bfa0683bf2e82a3b0">  882</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::rotate</a>(<span class="keyword">const</span> RotationType&amp; rotation)</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;{</div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;  linearExt() *= internal::toRotationMatrix&lt;Scalar,Dim&gt;(rotation);</div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;}</div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;</div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> RotationType&gt;</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp;</div>
<div class="line"><a name="l00898"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a1366696061a2531e17153eff012ede5e">  898</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::prerotate</a>(<span class="keyword">const</span> RotationType&amp; rotation)</div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;{</div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;  m_matrix.template block&lt;Dim,HDim&gt;(0,0) = internal::toRotationMatrix&lt;Scalar,Dim&gt;(rotation)</div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;                                         * m_matrix.template block&lt;Dim,HDim&gt;(0,0);</div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;}</div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;</div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp;</div>
<div class="line"><a name="l00912"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a44ffe4dae84e42589daf1b9047320ce6">  912</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html#a44ffe4dae84e42589daf1b9047320ce6">Transform&lt;Scalar,Dim,Mode,Options&gt;::shear</a>(<span class="keyword">const</span> Scalar&amp; sx, <span class="keyword">const</span> Scalar&amp; sy)</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;{</div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;  EIGEN_STATIC_ASSERT(<span class="keywordtype">int</span>(Dim)==2, YOU_MADE_A_PROGRAMMING_MISTAKE)</div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;  EIGEN_STATIC_ASSERT(Mode!=<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>), THIS_METHOD_IS_ONLY_FOR_SPECIFIC_TRANSFORMATIONS)</div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;  VectorType tmp = linear().col(0)*sy + linear().col(1);</div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;  linear() &lt;&lt; linear().col(0) + linear().col(1)*sx, tmp;</div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;}</div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;</div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp;</div>
<div class="line"><a name="l00928"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a5448d7cb18b99426d18dfc3a18c0f4a7">  928</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html#a5448d7cb18b99426d18dfc3a18c0f4a7">Transform&lt;Scalar,Dim,Mode,Options&gt;::preshear</a>(<span class="keyword">const</span> Scalar&amp; sx, <span class="keyword">const</span> Scalar&amp; sy)</div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;{</div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;  EIGEN_STATIC_ASSERT(<span class="keywordtype">int</span>(Dim)==2, YOU_MADE_A_PROGRAMMING_MISTAKE)</div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;  EIGEN_STATIC_ASSERT(Mode!=<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>), THIS_METHOD_IS_ONLY_FOR_SPECIFIC_TRANSFORMATIONS)</div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;  m_matrix.template block&lt;Dim,HDim&gt;(0,0) = LinearMatrixType(1, sx, sy, 1) * m_matrix.template block&lt;Dim,HDim&gt;(0,0);</div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;}</div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;</div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;<span class="comment">/******************************************************</span></div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;<span class="comment">*** Scaling, Translation and Rotation compatibility ***</span></div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;<span class="comment">******************************************************/</span></div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;</div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160;<span class="keyword">inline</span> <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp; <a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::operator=</a>(<span class="keyword">const</span> TranslationType&amp; t)</div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;{</div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;  linear().<a class="code" href="classEigen_1_1Transform.html#a382e6ad7e6721b121e510959e1011be3">setIdentity</a>();</div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;  translation() = t.vector();</div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;  makeAffine();</div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;}</div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;</div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;<span class="keyword">inline</span> Transform&lt;Scalar,Dim,Mode,Options&gt; <a class="code" href="classEigen_1_1Transform.html#a3846f7a4b892ed530881f52a5460ddf6">Transform&lt;Scalar,Dim,Mode,Options&gt;::operator*</a>(<span class="keyword">const</span> TranslationType&amp; t)<span class="keyword"> const</span></div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;  Transform res = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;  res.translate(t.vector());</div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;}</div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;</div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;<span class="keyword">inline</span> Transform&lt;Scalar,Dim,Mode,Options&gt;&amp; Transform&lt;Scalar,Dim,Mode,Options&gt;::operator=(<span class="keyword">const</span> UniformScaling&lt;Scalar&gt;&amp; s)</div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;{</div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;  m_matrix.<a class="code" href="classEigen_1_1PlainObjectBase.html#a04abe84a9a894de335a232681d9a0722">setZero</a>();</div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;  linear().diagonal().fill(s.factor());</div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160;  makeAffine();</div>
<div class="line"><a name="l00963"></a><span class="lineno">  963</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00964"></a><span class="lineno">  964</span>&#160;}</div>
<div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;</div>
<div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160;<span class="keyword">inline</span> Transform&lt;Scalar,Dim,Mode,Options&gt;&amp; Transform&lt;Scalar,Dim,Mode,Options&gt;::operator=(<span class="keyword">const</span> RotationBase&lt;Derived,Dim&gt;&amp; r)</div>
<div class="line"><a name="l00969"></a><span class="lineno">  969</span>&#160;{</div>
<div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160;  linear() = internal::toRotationMatrix&lt;Scalar,Dim&gt;(r);</div>
<div class="line"><a name="l00971"></a><span class="lineno">  971</span>&#160;  translation().setZero();</div>
<div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160;  makeAffine();</div>
<div class="line"><a name="l00973"></a><span class="lineno">  973</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;}</div>
<div class="line"><a name="l00975"></a><span class="lineno">  975</span>&#160;</div>
<div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00977"></a><span class="lineno">  977</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00978"></a><span class="lineno">  978</span>&#160;<span class="keyword">inline</span> Transform&lt;Scalar,Dim,Mode,Options&gt; <a class="code" href="classEigen_1_1Transform.html#a3846f7a4b892ed530881f52a5460ddf6">Transform&lt;Scalar,Dim,Mode,Options&gt;::operator*</a>(<span class="keyword">const</span> RotationBase&lt;Derived,Dim&gt;&amp; r)<span class="keyword"> const</span></div>
<div class="line"><a name="l00979"></a><span class="lineno">  979</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160;  Transform res = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;  res.rotate(r.derived());</div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160;  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00983"></a><span class="lineno">  983</span>&#160;}</div>
<div class="line"><a name="l00984"></a><span class="lineno">  984</span>&#160;</div>
<div class="line"><a name="l00985"></a><span class="lineno">  985</span>&#160;<span class="comment">/************************</span></div>
<div class="line"><a name="l00986"></a><span class="lineno">  986</span>&#160;<span class="comment">*** Special functions ***</span></div>
<div class="line"><a name="l00987"></a><span class="lineno">  987</span>&#160;<span class="comment">************************/</span></div>
<div class="line"><a name="l00988"></a><span class="lineno">  988</span>&#160;</div>
<div class="line"><a name="l00996"></a><span class="lineno">  996</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l00997"></a><span class="lineno">  997</span>&#160;<span class="keyword">const</span> <span class="keyword">typename</span> Transform&lt;Scalar,Dim,Mode,Options&gt;::LinearMatrixType</div>
<div class="line"><a name="l00998"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a0c792f75e5e52207a6c011d8104367ac">  998</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html#a0c792f75e5e52207a6c011d8104367ac">Transform&lt;Scalar,Dim,Mode,Options&gt;::rotation</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00999"></a><span class="lineno">  999</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;  LinearMatrixType result;</div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;  computeRotationScaling(&amp;result, (LinearMatrixType*)0);</div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;}</div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;</div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;</div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> RotationMatrixType, <span class="keyword">typename</span> ScalingMatrixType&gt;</div>
<div class="line"><a name="l01019"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#ad84ac89e9b8499975bad62a9db9f8b4c"> 1019</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classEigen_1_1Transform.html#ad84ac89e9b8499975bad62a9db9f8b4c">Transform&lt;Scalar,Dim,Mode,Options&gt;::computeRotationScaling</a>(RotationMatrixType *rotation, ScalingMatrixType *scaling)<span class="keyword"> const</span></div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;  <a class="code" href="classEigen_1_1JacobiSVD.html">JacobiSVD&lt;LinearMatrixType&gt;</a> svd(linear(), <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a75953ad8f5837a79d6fbd3c116e7d462">ComputeFullU</a> | <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a1785ac1174dab733556ac572448984c7">ComputeFullV</a>);</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;</div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;  Scalar x = (svd.<a class="code" href="classEigen_1_1JacobiSVD.html#a49e16a4adf4fe58a2d65a5e5a31e7654">matrixU</a>() * svd.<a class="code" href="classEigen_1_1JacobiSVD.html#ae5158ab7ca44a705c2a3b56ec926b42a">matrixV</a>().adjoint()).determinant(); <span class="comment">// so x has absolute value 1</span></div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;  VectorType sv(svd.<a class="code" href="classEigen_1_1JacobiSVD.html#a48d4068b97dfbb83d62599e56e26797a">singularValues</a>());</div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;  sv.coeffRef(0) *= x;</div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;  <span class="keywordflow">if</span>(scaling) scaling-&gt;lazyAssign(svd.<a class="code" href="classEigen_1_1JacobiSVD.html#ae5158ab7ca44a705c2a3b56ec926b42a">matrixV</a>() * sv.asDiagonal() * svd.<a class="code" href="classEigen_1_1JacobiSVD.html#ae5158ab7ca44a705c2a3b56ec926b42a">matrixV</a>().adjoint());</div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;  <span class="keywordflow">if</span>(rotation)</div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;  {</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;    LinearMatrixType m(svd.<a class="code" href="classEigen_1_1JacobiSVD.html#a49e16a4adf4fe58a2d65a5e5a31e7654">matrixU</a>());</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;    m.col(0) /= x;</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;    rotation-&gt;lazyAssign(m * svd.<a class="code" href="classEigen_1_1JacobiSVD.html#ae5158ab7ca44a705c2a3b56ec926b42a">matrixV</a>().adjoint());</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;  }</div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;}</div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;</div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> ScalingMatrixType, <span class="keyword">typename</span> RotationMatrixType&gt;</div>
<div class="line"><a name="l01048"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#ac85861889115ef75aaecec5eb7582f12"> 1048</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="classEigen_1_1Transform.html#ac85861889115ef75aaecec5eb7582f12">Transform&lt;Scalar,Dim,Mode,Options&gt;::computeScalingRotation</a>(ScalingMatrixType *scaling, RotationMatrixType *rotation)<span class="keyword"> const</span></div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160;  <a class="code" href="classEigen_1_1JacobiSVD.html">JacobiSVD&lt;LinearMatrixType&gt;</a> svd(linear(), <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a75953ad8f5837a79d6fbd3c116e7d462">ComputeFullU</a> | <a class="code" href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a1785ac1174dab733556ac572448984c7">ComputeFullV</a>);</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;  Scalar x = (svd.<a class="code" href="classEigen_1_1JacobiSVD.html#a49e16a4adf4fe58a2d65a5e5a31e7654">matrixU</a>() * svd.<a class="code" href="classEigen_1_1JacobiSVD.html#ae5158ab7ca44a705c2a3b56ec926b42a">matrixV</a>().adjoint()).determinant(); <span class="comment">// so x has absolute value 1</span></div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;  VectorType sv(svd.<a class="code" href="classEigen_1_1JacobiSVD.html#a48d4068b97dfbb83d62599e56e26797a">singularValues</a>());</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;  sv.coeffRef(0) *= x;</div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;  <span class="keywordflow">if</span>(scaling) scaling-&gt;lazyAssign(svd.<a class="code" href="classEigen_1_1JacobiSVD.html#a49e16a4adf4fe58a2d65a5e5a31e7654">matrixU</a>() * sv.asDiagonal() * svd.<a class="code" href="classEigen_1_1JacobiSVD.html#a49e16a4adf4fe58a2d65a5e5a31e7654">matrixU</a>().adjoint());</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;  <span class="keywordflow">if</span>(rotation)</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;  {</div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;    LinearMatrixType m(svd.<a class="code" href="classEigen_1_1JacobiSVD.html#a49e16a4adf4fe58a2d65a5e5a31e7654">matrixU</a>());</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;    m.col(0) /= x;</div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;    rotation-&gt;lazyAssign(m * svd.<a class="code" href="classEigen_1_1JacobiSVD.html#ae5158ab7ca44a705c2a3b56ec926b42a">matrixV</a>().adjoint());</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;  }</div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;}</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;</div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> PositionDerived, <span class="keyword">typename</span> OrientationType, <span class="keyword">typename</span> ScaleDerived&gt;</div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;</a>&amp;</div>
<div class="line"><a name="l01070"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a54be6540d2888404226ab0a4505f7485"> 1070</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html">Transform&lt;Scalar,Dim,Mode,Options&gt;::fromPositionOrientationScale</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;PositionDerived&gt;</a> &amp;position,</div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160;  <span class="keyword">const</span> OrientationType&amp; orientation, <span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase&lt;ScaleDerived&gt;</a> &amp;scale)</div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160;{</div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160;  linear() = internal::toRotationMatrix&lt;Scalar,Dim&gt;(orientation);</div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;  linear() *= scale.<a class="code" href="classEigen_1_1MatrixBase.html#adaf22d3a2069ec2c0df912cb87329e9c">asDiagonal</a>();</div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160;  translation() = position;</div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160;  makeAffine();</div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160;  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160;}</div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;</div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;</div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;<span class="comment">// selector needed to avoid taking the inverse of a 3x4 matrix</span></div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> TransformType, <span class="keywordtype">int</span> Mode=TransformType::Mode&gt;</div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;<span class="keyword">struct </span>projective_transform_inverse</div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;{</div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> TransformType&amp;, TransformType&amp;)</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;  {}</div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;};</div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;</div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> TransformType&gt;</div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;<span class="keyword">struct </span>projective_transform_inverse&lt;TransformType, <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a>&gt;</div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;{</div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> TransformType&amp; m, TransformType&amp; res)</div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;  {</div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160;    res.matrix() = m.matrix().inverse();</div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160;  }</div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160;};</div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;</div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160;</div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160;</div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;Transform&lt;Scalar,Dim,Mode,Options&gt;</div>
<div class="line"><a name="l01124"></a><span class="lineno"><a class="line" href="classEigen_1_1Transform.html#a29b71eedfb78a436577878e2e5560946"> 1124</a></span>&#160;<a class="code" href="classEigen_1_1Transform.html#a29b71eedfb78a436577878e2e5560946">Transform&lt;Scalar,Dim,Mode,Options&gt;::inverse</a>(<a class="code" href="group__enums.html#ga302a826315506a7217d4b477ea78425f">TransformTraits</a> hint)<span class="keyword"> const</span></div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160;  <a class="code" href="classEigen_1_1Transform.html">Transform</a> res;</div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160;  <span class="keywordflow">if</span> (hint == <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a>)</div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160;  {</div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;    internal::projective_transform_inverse&lt;Transform&gt;::run(*<span class="keyword">this</span>, res);</div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;  }</div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;  <span class="keywordflow">else</span></div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160;  {</div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;    <span class="keywordflow">if</span> (hint == <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>)</div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160;    {</div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160;      res.matrix().template topLeftCorner&lt;Dim,Dim&gt;() = linear().transpose();</div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;    }</div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160;    <span class="keywordflow">else</span> <span class="keywordflow">if</span>(hint&amp;<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Affine</a>)</div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160;    {</div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160;      res.matrix().template topLeftCorner&lt;Dim,Dim&gt;() = linear().inverse();</div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160;    }</div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160;    {</div>
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160;      eigen_assert(<span class="keyword">false</span> &amp;&amp; <span class="stringliteral">&quot;Invalid transform traits in Transform::Inverse&quot;</span>);</div>
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160;    }</div>
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160;    <span class="comment">// translation and remaining parts</span></div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160;    res.matrix().template topRightCorner&lt;Dim,1&gt;()</div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160;      = - res.matrix().template topLeftCorner&lt;Dim,Dim&gt;() * translation();</div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160;    res.makeAffine(); <span class="comment">// we do need this, because in the beginning res is uninitialized</span></div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160;  }</div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160;  <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160;}</div>
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160;</div>
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160;</div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160;<span class="comment">/*****************************************************</span></div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160;<span class="comment">*** Specializations of take affine part            ***</span></div>
<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160;<span class="comment">*****************************************************/</span></div>
<div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>&#160;</div>
<div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> TransformType&gt; <span class="keyword">struct </span>transform_take_affine_part {</div>
<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> TransformType::MatrixType MatrixType;</div>
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> TransformType::AffinePart AffinePart;</div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> TransformType::ConstAffinePart ConstAffinePart;</div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> AffinePart run(MatrixType&amp; m)</div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160;  { <span class="keywordflow">return</span> m.template block&lt;TransformType::Dim,TransformType::HDim&gt;(0,0); }</div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> ConstAffinePart run(<span class="keyword">const</span> MatrixType&amp; m)</div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160;  { <span class="keywordflow">return</span> m.template block&lt;TransformType::Dim,TransformType::HDim&gt;(0,0); }</div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160;};</div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160;</div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> Options&gt;</div>
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;<span class="keyword">struct </span>transform_take_affine_part&lt;Transform&lt;Scalar,Dim,<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>, Options&gt; &gt; {</div>
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> Transform&lt;Scalar,Dim,AffineCompact,Options&gt;::MatrixType MatrixType;</div>
<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> MatrixType&amp; run(MatrixType&amp; m) { <span class="keywordflow">return</span> m; }</div>
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keyword">const</span> MatrixType&amp; run(<span class="keyword">const</span> MatrixType&amp; m) { <span class="keywordflow">return</span> m; }</div>
<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160;};</div>
<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>&#160;</div>
<div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>&#160;<span class="comment">/*****************************************************</span></div>
<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160;<span class="comment">*** Specializations of construct from matrix       ***</span></div>
<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160;<span class="comment">*****************************************************/</span></div>
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160;</div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Other, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> HDim&gt;</div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160;<span class="keyword">struct </span>transform_construct_from_matrix&lt;Other, Mode,Options,Dim,HDim, Dim,Dim&gt;</div>
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160;{</div>
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(Transform&lt;typename Other::Scalar,Dim,Mode,Options&gt; *transform, <span class="keyword">const</span> Other&amp; other)</div>
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160;  {</div>
<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>&#160;    transform-&gt;linear() = other;</div>
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160;    transform-&gt;translation().setZero();</div>
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160;    transform-&gt;makeAffine();</div>
<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160;  }</div>
<div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>&#160;};</div>
<div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>&#160;</div>
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Other, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> HDim&gt;</div>
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>&#160;<span class="keyword">struct </span>transform_construct_from_matrix&lt;Other, Mode,Options,Dim,HDim, Dim,HDim&gt;</div>
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160;{</div>
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(Transform&lt;typename Other::Scalar,Dim,Mode,Options&gt; *transform, <span class="keyword">const</span> Other&amp; other)</div>
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160;  {</div>
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160;    transform-&gt;affine() = other;</div>
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160;    transform-&gt;makeAffine();</div>
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160;  }</div>
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160;};</div>
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;</div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Other, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> HDim&gt;</div>
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160;<span class="keyword">struct </span>transform_construct_from_matrix&lt;Other, Mode,Options,Dim,HDim, HDim,HDim&gt;</div>
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160;{</div>
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(Transform&lt;typename Other::Scalar,Dim,Mode,Options&gt; *transform, <span class="keyword">const</span> Other&amp; other)</div>
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160;  { transform-&gt;matrix() = other; }</div>
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>&#160;};</div>
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160;</div>
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Other, <span class="keywordtype">int</span> Options, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> HDim&gt;</div>
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160;<span class="keyword">struct </span>transform_construct_from_matrix&lt;Other, <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>,Options,Dim,HDim, HDim,HDim&gt;</div>
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160;{</div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(Transform&lt;typename Other::Scalar,Dim,AffineCompact,Options&gt; *transform, <span class="keyword">const</span> Other&amp; other)</div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160;  { transform-&gt;matrix() = other.template block&lt;Dim,HDim&gt;(0,0); }</div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160;};</div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160;</div>
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160;<span class="comment">/**********************************************************</span></div>
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160;<span class="comment">***   Specializations of operator* with rhs EigenBase   ***</span></div>
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160;<span class="comment">**********************************************************/</span></div>
<div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>&#160;</div>
<div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>&#160;<span class="keyword">template</span>&lt;<span class="keywordtype">int</span> LhsMode,<span class="keywordtype">int</span> RhsMode&gt;</div>
<div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>&#160;<span class="keyword">struct </span>transform_product_result</div>
<div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>&#160;{</div>
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160;  <span class="keyword">enum</span> </div>
<div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>&#160;  { </div>
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>&#160;    Mode =</div>
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160;      (LhsMode == (int)<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a>    || RhsMode == (<span class="keywordtype">int</span>)<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a>    ) ? <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a> :</div>
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160;      (LhsMode == (<span class="keywordtype">int</span>)<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Affine</a>        || RhsMode == (int)<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Affine</a>        ) ? <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Affine</a> :</div>
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160;      (LhsMode == (int)<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a> || RhsMode == (<span class="keywordtype">int</span>)<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a> ) ? <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a> :</div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160;      (LhsMode == (<span class="keywordtype">int</span>)<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>      || RhsMode == (int)<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>      ) ? <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a> : <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a></div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;  };</div>
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160;};</div>
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160;</div>
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160;<span class="keyword">template</span>&lt; <span class="keyword">typename</span> TransformType, <span class="keyword">typename</span> MatrixType &gt;</div>
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160;<span class="keyword">struct </span>transform_right_product_impl&lt; TransformType, MatrixType, 0 &gt;</div>
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160;{</div>
<div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::PlainObject ResultType;</div>
<div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160;</div>
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160;  <span class="keyword">static</span> EIGEN_STRONG_INLINE ResultType run(<span class="keyword">const</span> TransformType&amp; T, <span class="keyword">const</span> MatrixType&amp; other)</div>
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160;  {</div>
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160;    <span class="keywordflow">return</span> T.matrix() * other;</div>
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160;  }</div>
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160;};</div>
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160;</div>
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160;<span class="keyword">template</span>&lt; <span class="keyword">typename</span> TransformType, <span class="keyword">typename</span> MatrixType &gt;</div>
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160;<span class="keyword">struct </span>transform_right_product_impl&lt; TransformType, MatrixType, 1 &gt;</div>
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160;{</div>
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160;  <span class="keyword">enum</span> { </div>
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160;    Dim = TransformType::Dim, </div>
<div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160;    HDim = TransformType::HDim,</div>
<div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160;    OtherRows = MatrixType::RowsAtCompileTime,</div>
<div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>&#160;    OtherCols = MatrixType::ColsAtCompileTime</div>
<div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>&#160;  };</div>
<div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>&#160;</div>
<div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::PlainObject ResultType;</div>
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160;</div>
<div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160;  <span class="keyword">static</span> EIGEN_STRONG_INLINE ResultType run(<span class="keyword">const</span> TransformType&amp; T, <span class="keyword">const</span> MatrixType&amp; other)</div>
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160;  {</div>
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160;    EIGEN_STATIC_ASSERT(OtherRows==HDim, YOU_MIXED_MATRICES_OF_DIFFERENT_SIZES);</div>
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160;</div>
<div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160;    <span class="keyword">typedef</span> Block&lt;ResultType, Dim, OtherCols, int(MatrixType::RowsAtCompileTime)==Dim&gt; TopLeftLhs;</div>
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160;</div>
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160;    ResultType res(other.rows(),other.cols());</div>
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160;    TopLeftLhs(res, 0, 0, Dim, other.cols()).noalias() = T.affine() * other;</div>
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160;    res.row(OtherRows-1) = other.row(OtherRows-1);</div>
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160;    </div>
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;  }</div>
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160;};</div>
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160;</div>
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160;<span class="keyword">template</span>&lt; <span class="keyword">typename</span> TransformType, <span class="keyword">typename</span> MatrixType &gt;</div>
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160;<span class="keyword">struct </span>transform_right_product_impl&lt; TransformType, MatrixType, 2 &gt;</div>
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160;{</div>
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160;  <span class="keyword">enum</span> { </div>
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160;    Dim = TransformType::Dim, </div>
<div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160;    HDim = TransformType::HDim,</div>
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160;    OtherRows = MatrixType::RowsAtCompileTime,</div>
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160;    OtherCols = MatrixType::ColsAtCompileTime</div>
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160;  };</div>
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160;</div>
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::PlainObject ResultType;</div>
<div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160;</div>
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160;  <span class="keyword">static</span> EIGEN_STRONG_INLINE ResultType run(<span class="keyword">const</span> TransformType&amp; T, <span class="keyword">const</span> MatrixType&amp; other)</div>
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160;  {</div>
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160;    EIGEN_STATIC_ASSERT(OtherRows==Dim, YOU_MIXED_MATRICES_OF_DIFFERENT_SIZES);</div>
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160;</div>
<div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160;    <span class="keyword">typedef</span> Block&lt;ResultType, Dim, OtherCols, true&gt; TopLeftLhs;</div>
<div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>&#160;    ResultType res(Replicate&lt;typename TransformType::ConstTranslationPart, 1, OtherCols&gt;(T.translation(),1,other.cols()));</div>
<div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160;    TopLeftLhs(res, 0, 0, Dim, other.cols()).noalias() += T.linear() * other;</div>
<div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160;</div>
<div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160;  }</div>
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160;};</div>
<div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160;</div>
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160;<span class="comment">/**********************************************************</span></div>
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160;<span class="comment">***   Specializations of operator* with lhs EigenBase   ***</span></div>
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160;<span class="comment">**********************************************************/</span></div>
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160;</div>
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160;<span class="comment">// generic HDim x HDim matrix * T =&gt; Projective</span></div>
<div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Other,<span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> HDim&gt;</div>
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160;<span class="keyword">struct </span>transform_left_product_impl&lt;Other,Mode,Options,Dim,HDim, HDim,HDim&gt;</div>
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160;{</div>
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160;  <span class="keyword">typedef</span> Transform&lt;typename Other::Scalar,Dim,Mode,Options&gt; TransformType;</div>
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> TransformType::MatrixType MatrixType;</div>
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160;  <span class="keyword">typedef</span> Transform&lt;typename Other::Scalar,Dim,Projective,Options&gt; ResultType;</div>
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160;  <span class="keyword">static</span> ResultType run(<span class="keyword">const</span> Other&amp; other,<span class="keyword">const</span> TransformType&amp; tr)</div>
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;  { <span class="keywordflow">return</span> ResultType(other * tr.matrix()); }</div>
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160;};</div>
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160;</div>
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160;<span class="comment">// generic HDim x HDim matrix * AffineCompact =&gt; Projective</span></div>
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Other, <span class="keywordtype">int</span> Options, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> HDim&gt;</div>
<div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>&#160;<span class="keyword">struct </span>transform_left_product_impl&lt;Other,<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>,Options,Dim,HDim, HDim,HDim&gt;</div>
<div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160;{</div>
<div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>&#160;  <span class="keyword">typedef</span> Transform&lt;typename Other::Scalar,Dim,AffineCompact,Options&gt; TransformType;</div>
<div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> TransformType::MatrixType MatrixType;</div>
<div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>&#160;  <span class="keyword">typedef</span> Transform&lt;typename Other::Scalar,Dim,Projective,Options&gt; ResultType;</div>
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160;  <span class="keyword">static</span> ResultType run(<span class="keyword">const</span> Other&amp; other,<span class="keyword">const</span> TransformType&amp; tr)</div>
<div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>&#160;  {</div>
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160;    ResultType res;</div>
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160;    res.matrix().noalias() = other.template block&lt;HDim,Dim&gt;(0,0) * tr.matrix();</div>
<div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160;    res.matrix().col(Dim) += other.col(Dim);</div>
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160;  }</div>
<div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160;};</div>
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160;</div>
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;<span class="comment">// affine matrix * T</span></div>
<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Other,<span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> HDim&gt;</div>
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160;<span class="keyword">struct </span>transform_left_product_impl&lt;Other,Mode,Options,Dim,HDim, Dim,HDim&gt;</div>
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160;{</div>
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160;  <span class="keyword">typedef</span> Transform&lt;typename Other::Scalar,Dim,Mode,Options&gt; TransformType;</div>
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> TransformType::MatrixType MatrixType;</div>
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160;  <span class="keyword">typedef</span> TransformType ResultType;</div>
<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160;  <span class="keyword">static</span> ResultType run(<span class="keyword">const</span> Other&amp; other,<span class="keyword">const</span> TransformType&amp; tr)</div>
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160;  {</div>
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160;    ResultType res;</div>
<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160;    res.affine().noalias() = other * tr.matrix();</div>
<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160;    res.matrix().row(Dim) = tr.matrix().row(Dim);</div>
<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160;  }</div>
<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160;};</div>
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160;</div>
<div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160;<span class="comment">// affine matrix * AffineCompact</span></div>
<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Other, <span class="keywordtype">int</span> Options, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> HDim&gt;</div>
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160;<span class="keyword">struct </span>transform_left_product_impl&lt;Other,<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>,Options,Dim,HDim, Dim,HDim&gt;</div>
<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160;{</div>
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160;  <span class="keyword">typedef</span> Transform&lt;typename Other::Scalar,Dim,AffineCompact,Options&gt; TransformType;</div>
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> TransformType::MatrixType MatrixType;</div>
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160;  <span class="keyword">typedef</span> TransformType ResultType;</div>
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160;  <span class="keyword">static</span> ResultType run(<span class="keyword">const</span> Other&amp; other,<span class="keyword">const</span> TransformType&amp; tr)</div>
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160;  {</div>
<div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160;    ResultType res;</div>
<div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>&#160;    res.matrix().noalias() = other.template block&lt;Dim,Dim&gt;(0,0) * tr.matrix();</div>
<div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>&#160;    res.translation() += other.col(Dim);</div>
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160;  }</div>
<div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160;};</div>
<div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160;</div>
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160;<span class="comment">// linear matrix * T</span></div>
<div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Other,<span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Options, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> HDim&gt;</div>
<div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160;<span class="keyword">struct </span>transform_left_product_impl&lt;Other,Mode,Options,Dim,HDim, Dim,Dim&gt;</div>
<div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160;{</div>
<div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160;  <span class="keyword">typedef</span> Transform&lt;typename Other::Scalar,Dim,Mode,Options&gt; TransformType;</div>
<div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> TransformType::MatrixType MatrixType;</div>
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160;  <span class="keyword">typedef</span> TransformType ResultType;</div>
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160;  <span class="keyword">static</span> ResultType run(<span class="keyword">const</span> Other&amp; other, <span class="keyword">const</span> TransformType&amp; tr)</div>
<div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160;  {</div>
<div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>&#160;    TransformType res;</div>
<div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160;    <span class="keywordflow">if</span>(Mode!=<span class="keywordtype">int</span>(<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>))</div>
<div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160;      res.matrix().row(Dim) = tr.matrix().row(Dim);</div>
<div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160;    res.matrix().template topRows&lt;Dim&gt;().noalias()</div>
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160;      = other * tr.matrix().template topRows&lt;Dim&gt;();</div>
<div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160;  }</div>
<div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160;};</div>
<div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160;</div>
<div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160;<span class="comment">/**********************************************************</span></div>
<div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160;<span class="comment">*** Specializations of operator* with another Transform ***</span></div>
<div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160;<span class="comment">**********************************************************/</span></div>
<div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>&#160;</div>
<div class="line"><a name="l01378"></a><span class="lineno"> 1378</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> LhsMode, <span class="keywordtype">int</span> LhsOptions, <span class="keywordtype">int</span> RhsMode, <span class="keywordtype">int</span> RhsOptions&gt;</div>
<div class="line"><a name="l01379"></a><span class="lineno"> 1379</span>&#160;<span class="keyword">struct </span>transform_transform_product_impl&lt;Transform&lt;Scalar,Dim,LhsMode,LhsOptions&gt;,Transform&lt;Scalar,Dim,RhsMode,RhsOptions&gt;,false &gt;</div>
<div class="line"><a name="l01380"></a><span class="lineno"> 1380</span>&#160;{</div>
<div class="line"><a name="l01381"></a><span class="lineno"> 1381</span>&#160;  <span class="keyword">enum</span> { ResultMode = transform_product_result&lt;LhsMode,RhsMode&gt;::Mode };</div>
<div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,LhsMode,LhsOptions&gt; Lhs;</div>
<div class="line"><a name="l01383"></a><span class="lineno"> 1383</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,RhsMode,RhsOptions&gt; Rhs;</div>
<div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,ResultMode,LhsOptions&gt; ResultType;</div>
<div class="line"><a name="l01385"></a><span class="lineno"> 1385</span>&#160;  <span class="keyword">static</span> ResultType run(<span class="keyword">const</span> Lhs&amp; lhs, <span class="keyword">const</span> Rhs&amp; rhs)</div>
<div class="line"><a name="l01386"></a><span class="lineno"> 1386</span>&#160;  {</div>
<div class="line"><a name="l01387"></a><span class="lineno"> 1387</span>&#160;    ResultType res;</div>
<div class="line"><a name="l01388"></a><span class="lineno"> 1388</span>&#160;    res.linear() = lhs.linear() * rhs.linear();</div>
<div class="line"><a name="l01389"></a><span class="lineno"> 1389</span>&#160;    res.translation() = lhs.linear() * rhs.translation() + lhs.translation();</div>
<div class="line"><a name="l01390"></a><span class="lineno"> 1390</span>&#160;    res.makeAffine();</div>
<div class="line"><a name="l01391"></a><span class="lineno"> 1391</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>&#160;  }</div>
<div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>&#160;};</div>
<div class="line"><a name="l01394"></a><span class="lineno"> 1394</span>&#160;</div>
<div class="line"><a name="l01395"></a><span class="lineno"> 1395</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> LhsMode, <span class="keywordtype">int</span> LhsOptions, <span class="keywordtype">int</span> RhsMode, <span class="keywordtype">int</span> RhsOptions&gt;</div>
<div class="line"><a name="l01396"></a><span class="lineno"> 1396</span>&#160;<span class="keyword">struct </span>transform_transform_product_impl&lt;Transform&lt;Scalar,Dim,LhsMode,LhsOptions&gt;,Transform&lt;Scalar,Dim,RhsMode,RhsOptions&gt;,true &gt;</div>
<div class="line"><a name="l01397"></a><span class="lineno"> 1397</span>&#160;{</div>
<div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,LhsMode,LhsOptions&gt; Lhs;</div>
<div class="line"><a name="l01399"></a><span class="lineno"> 1399</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,RhsMode,RhsOptions&gt; Rhs;</div>
<div class="line"><a name="l01400"></a><span class="lineno"> 1400</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,Projective&gt; ResultType;</div>
<div class="line"><a name="l01401"></a><span class="lineno"> 1401</span>&#160;  <span class="keyword">static</span> ResultType run(<span class="keyword">const</span> Lhs&amp; lhs, <span class="keyword">const</span> Rhs&amp; rhs)</div>
<div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>&#160;  {</div>
<div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>&#160;    <span class="keywordflow">return</span> ResultType( lhs.matrix() * rhs.matrix() );</div>
<div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>&#160;  }</div>
<div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>&#160;};</div>
<div class="line"><a name="l01406"></a><span class="lineno"> 1406</span>&#160;</div>
<div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> LhsOptions, <span class="keywordtype">int</span> RhsOptions&gt;</div>
<div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>&#160;<span class="keyword">struct </span>transform_transform_product_impl&lt;Transform&lt;Scalar,Dim,<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>,LhsOptions&gt;,Transform&lt;Scalar,Dim,<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a>,RhsOptions&gt;,true &gt;</div>
<div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>&#160;{</div>
<div class="line"><a name="l01410"></a><span class="lineno"> 1410</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,AffineCompact,LhsOptions&gt; Lhs;</div>
<div class="line"><a name="l01411"></a><span class="lineno"> 1411</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,Projective,RhsOptions&gt; Rhs;</div>
<div class="line"><a name="l01412"></a><span class="lineno"> 1412</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,Projective&gt; ResultType;</div>
<div class="line"><a name="l01413"></a><span class="lineno"> 1413</span>&#160;  <span class="keyword">static</span> ResultType run(<span class="keyword">const</span> Lhs&amp; lhs, <span class="keyword">const</span> Rhs&amp; rhs)</div>
<div class="line"><a name="l01414"></a><span class="lineno"> 1414</span>&#160;  {</div>
<div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>&#160;    ResultType res;</div>
<div class="line"><a name="l01416"></a><span class="lineno"> 1416</span>&#160;    res.matrix().template topRows&lt;Dim&gt;() = lhs.matrix() * rhs.matrix();</div>
<div class="line"><a name="l01417"></a><span class="lineno"> 1417</span>&#160;    res.matrix().row(Dim) = rhs.matrix().row(Dim);</div>
<div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>&#160;  }</div>
<div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>&#160;};</div>
<div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>&#160;</div>
<div class="line"><a name="l01422"></a><span class="lineno"> 1422</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> Dim, <span class="keywordtype">int</span> LhsOptions, <span class="keywordtype">int</span> RhsOptions&gt;</div>
<div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>&#160;<span class="keyword">struct </span>transform_transform_product_impl&lt;Transform&lt;Scalar,Dim,<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fa732168807730e0e931f3c5792b99b672">Projective</a>,LhsOptions&gt;,Transform&lt;Scalar,Dim,<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">AffineCompact</a>,RhsOptions&gt;,true &gt;</div>
<div class="line"><a name="l01424"></a><span class="lineno"> 1424</span>&#160;{</div>
<div class="line"><a name="l01425"></a><span class="lineno"> 1425</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,Projective,LhsOptions&gt; Lhs;</div>
<div class="line"><a name="l01426"></a><span class="lineno"> 1426</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,AffineCompact,RhsOptions&gt; Rhs;</div>
<div class="line"><a name="l01427"></a><span class="lineno"> 1427</span>&#160;  <span class="keyword">typedef</span> Transform&lt;Scalar,Dim,Projective&gt; ResultType;</div>
<div class="line"><a name="l01428"></a><span class="lineno"> 1428</span>&#160;  <span class="keyword">static</span> ResultType run(<span class="keyword">const</span> Lhs&amp; lhs, <span class="keyword">const</span> Rhs&amp; rhs)</div>
<div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>&#160;  {</div>
<div class="line"><a name="l01430"></a><span class="lineno"> 1430</span>&#160;    ResultType res(lhs.matrix().template leftCols&lt;Dim&gt;() * rhs.matrix());</div>
<div class="line"><a name="l01431"></a><span class="lineno"> 1431</span>&#160;    res.matrix().col(Dim) += lhs.matrix().col(Dim);</div>
<div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>&#160;  }</div>
<div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>&#160;};</div>
<div class="line"><a name="l01435"></a><span class="lineno"> 1435</span>&#160;</div>
<div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l01437"></a><span class="lineno"> 1437</span>&#160;</div>
<div class="line"><a name="l01438"></a><span class="lineno"> 1438</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l01439"></a><span class="lineno"> 1439</span>&#160;</div>
<div class="line"><a name="l01440"></a><span class="lineno"> 1440</span>&#160;<span class="preprocessor">#endif // EIGEN_TRANSFORM_H</span></div>
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<div class="ttc" id="classEigen_1_1Transform_html_a9de68ec1c9b7809129814a3233ae4655"><div class="ttname"><a href="classEigen_1_1Transform.html#a9de68ec1c9b7809129814a3233ae4655">Eigen::Transform::Transform</a></div><div class="ttdeci">Transform()</div><div class="ttdef"><b>Definition:</b> Transform.h:230</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a44ffe4dae84e42589daf1b9047320ce6"><div class="ttname"><a href="classEigen_1_1Transform.html#a44ffe4dae84e42589daf1b9047320ce6">Eigen::Transform::shear</a></div><div class="ttdeci">Transform &amp; shear(const Scalar &amp;sx, const Scalar &amp;sy)</div><div class="ttdef"><b>Definition:</b> Transform.h:912</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a0c16671587fa0dc76fafeb486d6461c3"><div class="ttname"><a href="classEigen_1_1Transform.html#a0c16671587fa0dc76fafeb486d6461c3">Eigen::Transform::VectorType</a></div><div class="ttdeci">Matrix&lt; Scalar, Dim, 1 &gt; VectorType</div><div class="ttdef"><b>Definition:</b> Transform.h:209</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a382e6ad7e6721b121e510959e1011be3"><div class="ttname"><a href="classEigen_1_1Transform.html#a382e6ad7e6721b121e510959e1011be3">Eigen::Transform::setIdentity</a></div><div class="ttdeci">void setIdentity()</div><div class="ttdef"><b>Definition:</b> Transform.h:492</div></div>
<div class="ttc" id="classEigen_1_1DenseBase_html_a158c2184951e6e415c2e9b98db8e8966"><div class="ttname"><a href="classEigen_1_1DenseBase.html#a158c2184951e6e415c2e9b98db8e8966">Eigen::DenseBase::isApprox</a></div><div class="ttdeci">bool isApprox(const DenseBase&lt; OtherDerived &gt; &amp;other, const RealScalar &amp;prec=NumTraits&lt; Scalar &gt;::dummy_precision()) const </div><div class="ttdef"><b>Definition:</b> Fuzzy.h:98</div></div>
<div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">Eigen::RowMajor</a></div><div class="ttdef"><b>Definition:</b> Constants.h:266</div></div>
<div class="ttc" id="group__Geometry__Module_html_ga0af228e7443e5447de55bc7ba10b4d8e"><div class="ttname"><a href="group__Geometry__Module.html#ga0af228e7443e5447de55bc7ba10b4d8e">Eigen::Projective2f</a></div><div class="ttdeci">Transform&lt; float, 2, Projective &gt; Projective2f</div><div class="ttdef"><b>Definition:</b> Transform.h:670</div></div>
<div class="ttc" id="group__Geometry__Module_html_ga4ee356e527fdc5aa9b048542ff6d4278"><div class="ttname"><a href="group__Geometry__Module.html#ga4ee356e527fdc5aa9b048542ff6d4278">Eigen::Isometry2f</a></div><div class="ttdeci">Transform&lt; float, 2, Isometry &gt; Isometry2f</div><div class="ttdef"><b>Definition:</b> Transform.h:643</div></div>
<div class="ttc" id="group__Geometry__Module_html_ga2ffd4a2121dd59a3955735299e5e6364"><div class="ttname"><a href="group__Geometry__Module.html#ga2ffd4a2121dd59a3955735299e5e6364">Eigen::AffineCompact2f</a></div><div class="ttdeci">Transform&lt; float, 2, AffineCompact &gt; AffineCompact2f</div><div class="ttdef"><b>Definition:</b> Transform.h:661</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_adb187d1758687a8de4dd9ea275f2a0a7"><div class="ttname"><a href="classEigen_1_1Transform.html#adb187d1758687a8de4dd9ea275f2a0a7">Eigen::Transform::TransformTimeDiagonalReturnType</a></div><div class="ttdeci">Transform&lt; Scalar, Dim, TransformTimeDiagonalMode &gt; TransformTimeDiagonalReturnType</div><div class="ttdef"><b>Definition:</b> Transform.h:220</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a0c792f75e5e52207a6c011d8104367ac"><div class="ttname"><a href="classEigen_1_1Transform.html#a0c792f75e5e52207a6c011d8104367ac">Eigen::Transform::rotation</a></div><div class="ttdeci">const LinearMatrixType rotation() const </div><div class="ttdef"><b>Definition:</b> Transform.h:998</div></div>
<div class="ttc" id="group__enums_html_gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925"><div class="ttname"><a href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Eigen::Affine</a></div><div class="ttdef"><b>Definition:</b> Constants.h:394</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a76d43dc15b6966af98842e5219152cf2"><div class="ttname"><a href="classEigen_1_1Transform.html#a76d43dc15b6966af98842e5219152cf2">Eigen::Transform::ConstAffinePart</a></div><div class="ttdeci">internal::conditional&lt; int(Mode)==int(AffineCompact), const MatrixType &amp;, const Block&lt; const MatrixType, Dim, HDim &gt; &gt;::type ConstAffinePart</div><div class="ttdef"><b>Definition:</b> Transform.h:207</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_aa94dac47195ab409fd1535c152405505"><div class="ttname"><a href="classEigen_1_1Transform.html#aa94dac47195ab409fd1535c152405505">Eigen::Transform::TranslationPart</a></div><div class="ttdeci">Block&lt; MatrixType, Dim, 1, int(Mode)==(AffineCompact)&gt; TranslationPart</div><div class="ttdef"><b>Definition:</b> Transform.h:211</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="namespaceEigen_html_a81fb70d0dc1c6deb42e9816647607247"><div class="ttname"><a href="namespaceEigen.html#a81fb70d0dc1c6deb42e9816647607247">Eigen::operator*</a></div><div class="ttdeci">const internal::permut_matrix_product_retval&lt; PermutationDerived, Derived, OnTheRight &gt; operator*(const MatrixBase&lt; Derived &gt; &amp;matrix, const PermutationBase&lt; PermutationDerived &gt; &amp;permutation)</div><div class="ttdef"><b>Definition:</b> PermutationMatrix.h:510</div></div>
<div class="ttc" id="namespaceEigen_html_adc9da5be31bdce40c25a92c27999c0e3"><div class="ttname"><a href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a></div><div class="ttdeci">const int Dynamic</div><div class="ttdef"><b>Definition:</b> Constants.h:21</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a4663159a1450fa89214b1ab71f7ef5bf"><div class="ttname"><a href="classEigen_1_1Transform.html#a4663159a1450fa89214b1ab71f7ef5bf">Eigen::Transform::data</a></div><div class="ttdeci">Scalar * data()</div><div class="ttdef"><b>Definition:</b> Transform.h:564</div></div>
<div class="ttc" id="group__enums_html_gga2d78499b99ddc29b9494f7ea33864d52a1785ac1174dab733556ac572448984c7"><div class="ttname"><a href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a1785ac1174dab733556ac572448984c7">Eigen::ComputeFullV</a></div><div class="ttdef"><b>Definition:</b> Constants.h:331</div></div>
<div class="ttc" id="group__Geometry__Module_html_gaac62cb423a4af85793c656a9848282a0"><div class="ttname"><a href="group__Geometry__Module.html#gaac62cb423a4af85793c656a9848282a0">Eigen::Affine2d</a></div><div class="ttdeci">Transform&lt; double, 2, Affine &gt; Affine2d</div><div class="ttdef"><b>Definition:</b> Transform.h:656</div></div>
<div class="ttc" id="classEigen_1_1JacobiSVD_html_a48d4068b97dfbb83d62599e56e26797a"><div class="ttname"><a href="classEigen_1_1JacobiSVD.html#a48d4068b97dfbb83d62599e56e26797a">Eigen::JacobiSVD::singularValues</a></div><div class="ttdeci">const SingularValuesType &amp; singularValues() const </div><div class="ttdef"><b>Definition:</b> JacobiSVD.h:630</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_aea29b63b6c32046ae9a471d82c5cf869"><div class="ttname"><a href="classEigen_1_1Transform.html#aea29b63b6c32046ae9a471d82c5cf869">Eigen::Transform::Scalar</a></div><div class="ttdeci">_Scalar Scalar</div><div class="ttdef"><b>Definition:</b> Transform.h:186</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a5d8d5b5101ca4b34cb88fd4f71cec08e"><div class="ttname"><a href="classEigen_1_1Transform.html#a5d8d5b5101ca4b34cb88fd4f71cec08e">Eigen::Transform::cast</a></div><div class="ttdeci">internal::cast_return_type&lt; Transform, Transform&lt; NewScalarType, Dim, Mode, Options &gt; &gt;::type cast() const </div><div class="ttdef"><b>Definition:</b> Transform.h:572</div></div>
<div class="ttc" id="group__enums_html_gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17"><div class="ttname"><a href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Eigen::Isometry</a></div><div class="ttdef"><b>Definition:</b> Constants.h:391</div></div>
<div class="ttc" id="group__Geometry__Module_html_ga40d0ecae258b06c9633323da78162515"><div class="ttname"><a href="group__Geometry__Module.html#ga40d0ecae258b06c9633323da78162515">Eigen::AffineCompact3d</a></div><div class="ttdeci">Transform&lt; double, 3, AffineCompact &gt; AffineCompact3d</div><div class="ttdef"><b>Definition:</b> Transform.h:667</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_1Transform_html_a970e36d17bd859badeacfbe73bc7364b"><div class="ttname"><a href="classEigen_1_1Transform.html#a970e36d17bd859badeacfbe73bc7364b">Eigen::Transform::isApprox</a></div><div class="ttdeci">bool isApprox(const Transform &amp;other, const typename NumTraits&lt; Scalar &gt;::Real &amp;prec=NumTraits&lt; Scalar &gt;::dummy_precision()) const </div><div class="ttdef"><b>Definition:</b> Transform.h:587</div></div>
<div class="ttc" id="group__Geometry__Module_html_ga1cee3e45cad60050d3c94cf603e2ff45"><div class="ttname"><a href="group__Geometry__Module.html#ga1cee3e45cad60050d3c94cf603e2ff45">Eigen::Affine3d</a></div><div class="ttdeci">Transform&lt; double, 3, Affine &gt; Affine3d</div><div class="ttdef"><b>Definition:</b> Transform.h:658</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a3de2b78841914f0f4e2a523c88b8530e"><div class="ttname"><a href="classEigen_1_1Transform.html#a3de2b78841914f0f4e2a523c88b8530e">Eigen::Transform::makeAffine</a></div><div class="ttdeci">void makeAffine()</div><div class="ttdef"><b>Definition:</b> Transform.h:592</div></div>
<div class="ttc" id="group__enums_html_ga302a826315506a7217d4b477ea78425f"><div class="ttname"><a href="group__enums.html#ga302a826315506a7217d4b477ea78425f">Eigen::TransformTraits</a></div><div class="ttdeci">TransformTraits</div><div class="ttdef"><b>Definition:</b> Constants.h:389</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_ac85861889115ef75aaecec5eb7582f12"><div class="ttname"><a href="classEigen_1_1Transform.html#ac85861889115ef75aaecec5eb7582f12">Eigen::Transform::computeScalingRotation</a></div><div class="ttdeci">void computeScalingRotation(ScalingMatrixType *scaling, RotationMatrixType *rotation) const </div><div class="ttdef"><b>Definition:</b> Transform.h:1048</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_ac54aa49e111f1afc14c11a3a671993ca"><div class="ttname"><a href="classEigen_1_1Transform.html#ac54aa49e111f1afc14c11a3a671993ca">Eigen::Transform::TranslationType</a></div><div class="ttdeci">Translation&lt; Scalar, Dim &gt; TranslationType</div><div class="ttdef"><b>Definition:</b> Transform.h:215</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a3846f7a4b892ed530881f52a5460ddf6"><div class="ttname"><a href="classEigen_1_1Transform.html#a3846f7a4b892ed530881f52a5460ddf6">Eigen::Transform::operator*</a></div><div class="ttdeci">const internal::transform_right_product_impl&lt; Transform, OtherDerived &gt;::ResultType operator*(const EigenBase&lt; OtherDerived &gt; &amp;other) const </div><div class="ttdef"><b>Definition:</b> Transform.h:400</div></div>
<div class="ttc" id="group__Geometry__Module_html_gaca1e57a15de08fe20c934c5600f19314"><div class="ttname"><a href="group__Geometry__Module.html#gaca1e57a15de08fe20c934c5600f19314">Eigen::Affine3f</a></div><div class="ttdeci">Transform&lt; float, 3, Affine &gt; Affine3f</div><div class="ttdef"><b>Definition:</b> Transform.h:654</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a4edf00461b9e1ce0abb791cee8a12ca5"><div class="ttname"><a href="classEigen_1_1Transform.html#a4edf00461b9e1ce0abb791cee8a12ca5">Eigen::Transform::affine</a></div><div class="ttdeci">ConstAffinePart affine() const </div><div class="ttdef"><b>Definition:</b> Transform.h:377</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_ace20e267fb08cb804ed64fd1dad1d17c"><div class="ttname"><a href="classEigen_1_1Transform.html#ace20e267fb08cb804ed64fd1dad1d17c">Eigen::Transform::LinearPart</a></div><div class="ttdeci">Block&lt; MatrixType, Dim, Dim, int(Mode)==(AffineCompact)&gt; LinearPart</div><div class="ttdef"><b>Definition:</b> Transform.h:197</div></div>
<div class="ttc" id="group__Geometry__Module_html_gaaf2985f9f12b96ba19c07a5ecd47056b"><div class="ttname"><a href="group__Geometry__Module.html#gaaf2985f9f12b96ba19c07a5ecd47056b">Eigen::Projective3f</a></div><div class="ttdeci">Transform&lt; float, 3, Projective &gt; Projective3f</div><div class="ttdef"><b>Definition:</b> Transform.h:672</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a66704eaad42c9dd8f3723746e264fcb2"><div class="ttname"><a href="classEigen_1_1Transform.html#a66704eaad42c9dd8f3723746e264fcb2">Eigen::Transform::linear</a></div><div class="ttdeci">LinearPart linear()</div><div class="ttdef"><b>Definition:</b> Transform.h:374</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="group__enums_html_gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e"><div class="ttname"><a href="group__enums.html#gga302a826315506a7217d4b477ea78425faff9f02205c7dca9999837f996df1d06e">Eigen::AffineCompact</a></div><div class="ttdef"><b>Definition:</b> Constants.h:396</div></div>
<div class="ttc" id="classEigen_1_1JacobiSVD_html_a49e16a4adf4fe58a2d65a5e5a31e7654"><div class="ttname"><a href="classEigen_1_1JacobiSVD.html#a49e16a4adf4fe58a2d65a5e5a31e7654">Eigen::JacobiSVD::matrixU</a></div><div class="ttdeci">const MatrixUType &amp; matrixU() const </div><div class="ttdef"><b>Definition:</b> JacobiSVD.h:602</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a70ece05618a24131d9bf29162a700c58"><div class="ttname"><a href="classEigen_1_1Transform.html#a70ece05618a24131d9bf29162a700c58">Eigen::Transform::Identity</a></div><div class="ttdeci">static const Transform Identity()</div><div class="ttdoc">Returns an identity transformation. </div><div class="ttdef"><b>Definition:</b> Transform.h:498</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="group__Geometry__Module_html_ga3802603a0c0017d3bc38e1c2483bc0c8"><div class="ttname"><a href="group__Geometry__Module.html#ga3802603a0c0017d3bc38e1c2483bc0c8">Eigen::Isometry2d</a></div><div class="ttdeci">Transform&lt; double, 2, Isometry &gt; Isometry2d</div><div class="ttdef"><b>Definition:</b> Transform.h:647</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_aa8e36298662286f4619b2cedf09e31e7"><div class="ttname"><a href="classEigen_1_1Transform.html#aa8e36298662286f4619b2cedf09e31e7">Eigen::Transform::affine</a></div><div class="ttdeci">AffinePart affine()</div><div class="ttdef"><b>Definition:</b> Transform.h:379</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_ae80ecf3abb4b22d409c5adbd19850aa8"><div class="ttname"><a href="classEigen_1_1Transform.html#ae80ecf3abb4b22d409c5adbd19850aa8">Eigen::Transform::Transform</a></div><div class="ttdeci">Transform(const EigenBase&lt; OtherDerived &gt; &amp;other)</div><div class="ttdef"><b>Definition:</b> Transform.h:267</div></div>
<div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcda761c0504a518c7450ed6dfe9eaeab8a6"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda761c0504a518c7450ed6dfe9eaeab8a6">Eigen::DontAlign</a></div><div class="ttdef"><b>Definition:</b> Constants.h:270</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a29b71eedfb78a436577878e2e5560946"><div class="ttname"><a href="classEigen_1_1Transform.html#a29b71eedfb78a436577878e2e5560946">Eigen::Transform::inverse</a></div><div class="ttdeci">Transform inverse(TransformTraits traits=(TransformTraits) Mode) const </div><div class="ttdef"><b>Definition:</b> Transform.h:1124</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a5a1112983fef15f856661bc7a70821c2"><div class="ttname"><a href="classEigen_1_1Transform.html#a5a1112983fef15f856661bc7a70821c2">Eigen::Transform::MatrixType</a></div><div class="ttdeci">internal::make_proper_matrix_type&lt; Scalar, Rows, HDim, Options &gt;::type MatrixType</div><div class="ttdef"><b>Definition:</b> Transform.h:191</div></div>
<div class="ttc" id="group__Geometry__Module_html_gad835f3f4d1783ee8b7ff85af90b9d13e"><div class="ttname"><a href="group__Geometry__Module.html#gad835f3f4d1783ee8b7ff85af90b9d13e">Eigen::Projective3d</a></div><div class="ttdeci">Transform&lt; double, 3, Projective &gt; Projective3d</div><div class="ttdef"><b>Definition:</b> Transform.h:676</div></div>
<div class="ttc" id="group__Geometry__Module_html_ga1c999eef555fe940f147f3e8d18be6de"><div class="ttname"><a href="group__Geometry__Module.html#ga1c999eef555fe940f147f3e8d18be6de">Eigen::AffineCompact3f</a></div><div class="ttdeci">Transform&lt; float, 3, AffineCompact &gt; AffineCompact3f</div><div class="ttdef"><b>Definition:</b> Transform.h:663</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a4a1ecdb7e8eb963f3e167fa99faa5e95"><div class="ttname"><a href="classEigen_1_1Transform.html#a4a1ecdb7e8eb963f3e167fa99faa5e95">Eigen::Transform::Transform</a></div><div class="ttdeci">Transform(const Transform&lt; OtherScalarType, Dim, Mode, Options &gt; &amp;other)</div><div class="ttdef"><b>Definition:</b> Transform.h:577</div></div>
<div class="ttc" id="group__Geometry__Module_html_gaa44476c8fb0e300b47e21111db7f8224"><div class="ttname"><a href="group__Geometry__Module.html#gaa44476c8fb0e300b47e21111db7f8224">Eigen::AffineCompact2d</a></div><div class="ttdeci">Transform&lt; double, 2, AffineCompact &gt; AffineCompact2d</div><div class="ttdef"><b>Definition:</b> Transform.h:665</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a40dcc334db75411e168691d9bce08c3a"><div class="ttname"><a href="classEigen_1_1Transform.html#a40dcc334db75411e168691d9bce08c3a">Eigen::Transform::data</a></div><div class="ttdeci">const Scalar * data() const </div><div class="ttdef"><b>Definition:</b> Transform.h:562</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a8dcfbc5a318cc1f7d10073ffa959051c"><div class="ttname"><a href="classEigen_1_1Transform.html#a8dcfbc5a318cc1f7d10073ffa959051c">Eigen::Transform::ConstLinearPart</a></div><div class="ttdeci">const Block&lt; ConstMatrixType, Dim, Dim, int(Mode)==(AffineCompact)&gt; ConstLinearPart</div><div class="ttdef"><b>Definition:</b> Transform.h:199</div></div>
<div class="ttc" id="classEigen_1_1JacobiSVD_html_ae5158ab7ca44a705c2a3b56ec926b42a"><div class="ttname"><a href="classEigen_1_1JacobiSVD.html#ae5158ab7ca44a705c2a3b56ec926b42a">Eigen::JacobiSVD::matrixV</a></div><div class="ttdeci">const MatrixVType &amp; matrixV() const </div><div class="ttdef"><b>Definition:</b> JacobiSVD.h:618</div></div>
<div class="ttc" id="classEigen_1_1Block_html"><div class="ttname"><a href="classEigen_1_1Block.html">Eigen::Block</a></div><div class="ttdoc">Expression of a fixed-size or dynamic-size block. </div><div class="ttdef"><b>Definition:</b> Block.h:102</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_aa15d55b76aa1df369db63ff8c000d71a"><div class="ttname"><a href="classEigen_1_1Transform.html#aa15d55b76aa1df369db63ff8c000d71a">Eigen::Transform::AffinePart</a></div><div class="ttdeci">internal::conditional&lt; int(Mode)==int(AffineCompact), MatrixType &amp;, Block&lt; MatrixType, Dim, HDim &gt; &gt;::type AffinePart</div><div class="ttdef"><b>Definition:</b> Transform.h:203</div></div>
<div class="ttc" id="group__Geometry__Module_html_gaaab0779d16c81454c038cee3324585f2"><div class="ttname"><a href="group__Geometry__Module.html#gaaab0779d16c81454c038cee3324585f2">Eigen::Isometry3f</a></div><div class="ttdeci">Transform&lt; float, 3, Isometry &gt; Isometry3f</div><div class="ttdef"><b>Definition:</b> Transform.h:645</div></div>
<div class="ttc" id="group__Geometry__Module_html_gaaacee014168e2286115b9acd93de9c77"><div class="ttname"><a href="group__Geometry__Module.html#gaaacee014168e2286115b9acd93de9c77">Eigen::Affine2f</a></div><div class="ttdeci">Transform&lt; float, 2, Affine &gt; Affine2f</div><div class="ttdef"><b>Definition:</b> Transform.h:652</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a746fdf41f0377f203f231a1705cf6012"><div class="ttname"><a href="classEigen_1_1Transform.html#a746fdf41f0377f203f231a1705cf6012">Eigen::Transform::operator=</a></div><div class="ttdeci">Transform &amp; operator=(const EigenBase&lt; OtherDerived &gt; &amp;other)</div><div class="ttdef"><b>Definition:</b> Transform.h:278</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a4b5352e0747f0354c659edf2eff9f35b"><div class="ttname"><a href="classEigen_1_1Transform.html#a4b5352e0747f0354c659edf2eff9f35b">Eigen::Transform::ConstTranslationPart</a></div><div class="ttdeci">const Block&lt; ConstMatrixType, Dim, 1, int(Mode)==(AffineCompact)&gt; ConstTranslationPart</div><div class="ttdef"><b>Definition:</b> Transform.h:213</div></div>
<div class="ttc" id="classEigen_1_1JacobiSVD_html"><div class="ttname"><a href="classEigen_1_1JacobiSVD.html">Eigen::JacobiSVD</a></div><div class="ttdoc">Two-sided Jacobi SVD decomposition of a rectangular matrix. </div><div class="ttdef"><b>Definition:</b> ForwardDeclarations.h:224</div></div>
<div class="ttc" id="classEigen_1_1MatrixBase_html_af1b15ae4c6f69b7324dd8ef70089dfc3"><div class="ttname"><a href="classEigen_1_1MatrixBase.html#af1b15ae4c6f69b7324dd8ef70089dfc3">Eigen::MatrixBase::setIdentity</a></div><div class="ttdeci">Derived &amp; setIdentity()</div><div class="ttdef"><b>Definition:</b> CwiseNullaryOp.h:772</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_ad7355bb89f8429007277363642c90bfd"><div class="ttname"><a href="classEigen_1_1Transform.html#ad7355bb89f8429007277363642c90bfd">Eigen::Transform::matrix</a></div><div class="ttdeci">MatrixType &amp; matrix()</div><div class="ttdef"><b>Definition:</b> Transform.h:369</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a5448d7cb18b99426d18dfc3a18c0f4a7"><div class="ttname"><a href="classEigen_1_1Transform.html#a5448d7cb18b99426d18dfc3a18c0f4a7">Eigen::Transform::preshear</a></div><div class="ttdeci">Transform &amp; preshear(const Scalar &amp;sx, const Scalar &amp;sy)</div><div class="ttdef"><b>Definition:</b> Transform.h:928</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a79881f97c02305c0eb4820d7df00bc09"><div class="ttname"><a href="classEigen_1_1Transform.html#a79881f97c02305c0eb4820d7df00bc09">Eigen::Transform::translation</a></div><div class="ttdeci">TranslationPart translation()</div><div class="ttdef"><b>Definition:</b> Transform.h:384</div></div>
<div class="ttc" id="group__Geometry__Module_html_gab2b63f5ecf343e58bee2eb482592bc49"><div class="ttname"><a href="group__Geometry__Module.html#gab2b63f5ecf343e58bee2eb482592bc49">Eigen::Projective2d</a></div><div class="ttdeci">Transform&lt; double, 2, Projective &gt; Projective2d</div><div class="ttdef"><b>Definition:</b> Transform.h:674</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_ad84ac89e9b8499975bad62a9db9f8b4c"><div class="ttname"><a href="classEigen_1_1Transform.html#ad84ac89e9b8499975bad62a9db9f8b4c">Eigen::Transform::computeRotationScaling</a></div><div class="ttdeci">void computeRotationScaling(RotationMatrixType *rotation, ScalingMatrixType *scaling) const </div><div class="ttdef"><b>Definition:</b> Transform.h:1019</div></div>
<div class="ttc" id="classEigen_1_1Matrix_html"><div class="ttname"><a href="classEigen_1_1Matrix.html">Eigen::Matrix</a></div><div class="ttdoc">The matrix class, also used for vectors and row-vectors. </div><div class="ttdef"><b>Definition:</b> Matrix.h:127</div></div>
<div class="ttc" id="group__enums_html_gga2d78499b99ddc29b9494f7ea33864d52a75953ad8f5837a79d6fbd3c116e7d462"><div class="ttname"><a href="group__enums.html#gga2d78499b99ddc29b9494f7ea33864d52a75953ad8f5837a79d6fbd3c116e7d462">Eigen::ComputeFullU</a></div><div class="ttdef"><b>Definition:</b> Constants.h:327</div></div>
<div class="ttc" id="classEigen_1_1MatrixBase_html_adaf22d3a2069ec2c0df912cb87329e9c"><div class="ttname"><a href="classEigen_1_1MatrixBase.html#adaf22d3a2069ec2c0df912cb87329e9c">Eigen::MatrixBase::asDiagonal</a></div><div class="ttdeci">const DiagonalWrapper&lt; const Derived &gt; asDiagonal() const </div><div class="ttdef"><b>Definition:</b> DiagonalMatrix.h:278</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_1MatrixBase_html"><div class="ttname"><a href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a></div><div class="ttdoc">Base class for all dense matrices, vectors, and expressions. </div><div class="ttdef"><b>Definition:</b> MatrixBase.h:48</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_a08fcfa17a274862a36b5908d2b261e0d"><div class="ttname"><a href="classEigen_1_1Transform.html#a08fcfa17a274862a36b5908d2b261e0d">Eigen::Transform::EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE</a></div><div class="ttdeci">EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(_Scalar, _Dim==Dynamic?Dynamic:(_Dim+1)*(_Dim+1)) enum</div><div class="ttdef"><b>Definition:</b> Transform.h:179</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="group__Geometry__Module_html_gaf6a2d462b1cb12f96cb6baedc132a3f2"><div class="ttname"><a href="group__Geometry__Module.html#gaf6a2d462b1cb12f96cb6baedc132a3f2">Eigen::Isometry3d</a></div><div class="ttdeci">Transform&lt; double, 3, Isometry &gt; Isometry3d</div><div class="ttdef"><b>Definition:</b> Transform.h:649</div></div>
<div class="ttc" id="classEigen_1_1Transform_html_ade2ee06371d257b0eff58531d95a6474"><div class="ttname"><a href="classEigen_1_1Transform.html#ade2ee06371d257b0eff58531d95a6474">Eigen::Transform::LinearMatrixType</a></div><div class="ttdeci">Matrix&lt; Scalar, Dim, Dim, Options &gt; LinearMatrixType</div><div class="ttdef"><b>Definition:</b> Transform.h:195</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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