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<div class="title">BlockHouseholder.h</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2010 Vincent Lejeune</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#ifndef EIGEN_BLOCK_HOUSEHOLDER_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_BLOCK_HOUSEHOLDER_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// This file contains some helper function to deal with block householder reflectors</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="keyword">template</span><<span class="keyword">typename</span> TriangularFactorType,<span class="keyword">typename</span> VectorsType,<span class="keyword">typename</span> CoeffsType></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="keywordtype">void</span> make_block_householder_triangular_factor(TriangularFactorType& triFactor, <span class="keyword">const</span> VectorsType& vectors, <span class="keyword">const</span> CoeffsType& hCoeffs)</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> {</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> TriangularFactorType::Index Index;</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> VectorsType::Scalar Scalar;</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keyword">const</span> Index nbVecs = vectors.cols();</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  eigen_assert(triFactor.rows() == nbVecs && triFactor.cols() == nbVecs && vectors.rows()>=nbVecs);</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">for</span>(Index i = 0; i < nbVecs; i++)</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  {</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  Index rs = vectors.rows() - i;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  Scalar Vii = vectors(i,i);</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  vectors.const_cast_derived().coeffRef(i,i) = Scalar(1);</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  triFactor.col(i).head(i).noalias() = -hCoeffs(i) * vectors.block(i, 0, rs, i).adjoint()</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  * vectors.col(i).tail(rs);</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  vectors.const_cast_derived().coeffRef(i, i) = Vii;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="comment">// FIXME add .noalias() once the triangular product can work inplace</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  triFactor.col(i).head(i) = triFactor.block(0,0,i,i).template triangularView<Upper>()</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  * triFactor.col(i).head(i);</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  triFactor(i,i) = hCoeffs(i);</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  }</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> }</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType,<span class="keyword">typename</span> VectorsType,<span class="keyword">typename</span> CoeffsType></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="keywordtype">void</span> apply_block_householder_on_the_left(MatrixType& mat, <span class="keyword">const</span> VectorsType& vectors, <span class="keyword">const</span> CoeffsType& hCoeffs)</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> {</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Index Index;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">enum</span> { TFactorSize = MatrixType::ColsAtCompileTime };</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  Index nbVecs = vectors.cols();</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  Matrix<typename MatrixType::Scalar, TFactorSize, TFactorSize> T(nbVecs,nbVecs);</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  make_block_householder_triangular_factor(T, vectors, hCoeffs);</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">const</span> TriangularView<const VectorsType, UnitLower>& V(vectors);</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="comment">// A -= V T V^* A</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  Matrix<<span class="keyword">typename</span> MatrixType::Scalar,VectorsType::ColsAtCompileTime,MatrixType::ColsAtCompileTime,0,</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  VectorsType::MaxColsAtCompileTime,MatrixType::MaxColsAtCompileTime> tmp = V.adjoint() * mat;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">// FIXME add .noalias() once the triangular product can work inplace</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  tmp = T.template triangularView<Upper>().adjoint() * tmp;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  mat.noalias() -= V * tmp;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> }</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="preprocessor">#endif // EIGEN_BLOCK_HOUSEHOLDER_H</span></div>
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