<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> <meta http-equiv="X-UA-Compatible" content="IE=9"/> <meta name="generator" content="Doxygen 1.8.5"/> <title>Eigen: Inverse_SSE.h Source File</title> <link href="tabs.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="jquery.js"></script> <script type="text/javascript" src="dynsections.js"></script> <link href="navtree.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="resize.js"></script> <script type="text/javascript" src="navtree.js"></script> <script type="text/javascript"> $(document).ready(initResizable); $(window).load(resizeHeight); </script> <link href="search/search.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="search/search.js"></script> <script type="text/javascript"> $(document).ready(function() { searchBox.OnSelectItem(0); }); </script> <link href="doxygen.css" rel="stylesheet" type="text/css" /> <link href="eigendoxy.css" rel="stylesheet" type="text/css"> <!-- --> <script type="text/javascript" src="eigen_navtree_hacks.js"></script> <!-- <script type="text/javascript"> --> <!-- </script> --> </head> <body> <div id="top"><!-- do not remove this div, it is closed by doxygen! --> <!-- <a name="top"></a> --> <div id="titlearea"> <table cellspacing="0" cellpadding="0"> <tbody> <tr style="height: 56px;"> <td id="projectlogo"><img alt="Logo" src="Eigen_Silly_Professor_64x64.png"/></td> <td style="padding-left: 0.5em;"> <div id="projectname"><a href="http://eigen.tuxfamily.org">Eigen</a>  <span id="projectnumber">3.2.0</span> </div> </td> <td> <div id="MSearchBox" class="MSearchBoxInactive"> <span class="left"> <img id="MSearchSelect" src="search/mag_sel.png" onmouseover="return searchBox.OnSearchSelectShow()" onmouseout="return searchBox.OnSearchSelectHide()" alt=""/> <input type="text" id="MSearchField" value="Search" accesskey="S" onfocus="searchBox.OnSearchFieldFocus(true)" onblur="searchBox.OnSearchFieldFocus(false)" onkeyup="searchBox.OnSearchFieldChange(event)"/> </span><span class="right"> <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a> </span> </div> </td> </tr> </tbody> </table> </div> <!-- end header part --> <!-- Generated by Doxygen 1.8.5 --> <script type="text/javascript"> var searchBox = new SearchBox("searchBox", "search",false,'Search'); </script> </div><!-- top --> <div id="side-nav" class="ui-resizable side-nav-resizable"> <div id="nav-tree"> <div id="nav-tree-contents"> <div id="nav-sync" class="sync"></div> </div> </div> <div id="splitbar" style="-moz-user-select:none;" class="ui-resizable-handle"> </div> </div> <script type="text/javascript"> $(document).ready(function(){initNavTree('Inverse__SSE_8h_source.html','');}); </script> <div id="doc-content"> <!-- window showing the filter options --> <div id="MSearchSelectWindow" onmouseover="return searchBox.OnSearchSelectShow()" onmouseout="return searchBox.OnSearchSelectHide()" onkeydown="return searchBox.OnSearchSelectKey(event)"> <a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark"> </span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark"> </span>Classes</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark"> </span>Namespaces</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark"> </span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark"> </span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark"> </span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark"> </span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark"> </span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark"> </span>Friends</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark"> </span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark"> </span>Pages</a></div> <!-- iframe showing the search results (closed by default) --> <div id="MSearchResultsWindow"> <iframe src="javascript:void(0)" frameborder="0" name="MSearchResults" id="MSearchResults"> </iframe> </div> <div class="header"> <div class="headertitle"> <div class="title">Inverse_SSE.h</div> </div> </div><!--header--> <div class="contents"> <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) 2001 Intel Corporation</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">// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com></span></div> <div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div> <div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <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> <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> <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> </div> <div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// The SSE code for the 4x4 float and double matrix inverse in this file</span></div> <div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment">// comes from the following Intel's library:</span></div> <div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// http://software.intel.com/en-us/articles/optimized-matrix-library-for-use-with-the-intel-pentiumr-4-processors-sse2-instructions/</span></div> <div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">//</span></div> <div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">// Here is the respective copyright and license statement:</span></div> <div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">//</span></div> <div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">// Copyright (c) 2001 Intel Corporation.</span></div> <div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">//</span></div> <div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">// Permition is granted to use, copy, distribute and prepare derivative works</span></div> <div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment">// of this library for any purpose and without fee, provided, that the above</span></div> <div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">// copyright notice and this statement appear in all copies.</span></div> <div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">// Intel makes no representations about the suitability of this software for</span></div> <div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// any purpose, and specifically disclaims all warranties.</span></div> <div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">// See LEGAL.TXT for all the legal information.</span></div> <div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div> <div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#ifndef EIGEN_INVERSE_SSE_H</span></div> <div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_INVERSE_SSE_H</span></div> <div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor"></span></div> <div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">namespace </span>Eigen { </div> <div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div> <div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">namespace </span>internal {</div> <div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div> <div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> ResultType></div> <div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">struct </span>compute_inverse_size4<Architecture::SSE, float, MatrixType, ResultType></div> <div class="line"><a name="l00036"></a><span class="lineno"> 36</span> {</div> <div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keyword">enum</span> {</div> <div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  MatrixAlignment = bool(MatrixType::Flags&<a class="code" href="group__flags.html#ga972a2dcb6603215fa53e0b9e82051426">AlignedBit</a>),</div> <div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  ResultAlignment = bool(ResultType::Flags&<a class="code" href="group__flags.html#ga972a2dcb6603215fa53e0b9e82051426">AlignedBit</a>),</div> <div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  StorageOrdersMatch = (MatrixType::Flags&<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>) == (ResultType::Flags&<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>)</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>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> MatrixType& matrix, ResultType& result)</div> <div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  {</div> <div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  EIGEN_ALIGN16 <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> _Sign_PNNP[4] = { 0x00000000, 0x80000000, 0x80000000, 0x00000000 };</div> <div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </div> <div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="comment">// Load the full matrix into registers</span></div> <div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  __m128 _L1 = matrix.template packet<MatrixAlignment>( 0);</div> <div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  __m128 _L2 = matrix.template packet<MatrixAlignment>( 4);</div> <div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  __m128 _L3 = matrix.template packet<MatrixAlignment>( 8);</div> <div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  __m128 _L4 = matrix.template packet<MatrixAlignment>(12);</div> <div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div> <div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="comment">// The inverse is calculated using "Divide and Conquer" technique. The</span></div> <div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="comment">// original matrix is divide into four 2x2 sub-matrices. Since each</span></div> <div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">// register holds four matrix element, the smaller matrices are</span></div> <div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="comment">// represented as a registers. Hence we get a better locality of the</span></div> <div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// calculations.</span></div> <div class="line"><a name="l00058"></a><span class="lineno"> 58</span> </div> <div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  __m128 A, B, C, D; <span class="comment">// the four sub-matrices</span></div> <div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">if</span>(!StorageOrdersMatch)</div> <div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  {</div> <div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  A = _mm_unpacklo_ps(_L1, _L2);</div> <div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  B = _mm_unpacklo_ps(_L3, _L4);</div> <div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  C = _mm_unpackhi_ps(_L1, _L2);</div> <div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  D = _mm_unpackhi_ps(_L3, _L4);</div> <div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  }</div> <div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">else</span></div> <div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  {</div> <div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  A = _mm_movelh_ps(_L1, _L2);</div> <div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  B = _mm_movehl_ps(_L2, _L1);</div> <div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  C = _mm_movelh_ps(_L3, _L4);</div> <div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  D = _mm_movehl_ps(_L4, _L3);</div> <div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  }</div> <div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div> <div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  __m128 iA, iB, iC, iD, <span class="comment">// partial inverse of the sub-matrices</span></div> <div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  DC, AB;</div> <div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  __m128 dA, dB, dC, dD; <span class="comment">// determinant of the sub-matrices</span></div> <div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  __m128 det, d, d1, d2;</div> <div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  __m128 rd; <span class="comment">// reciprocal of the determinant</span></div> <div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div> <div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// AB = A# * B</span></div> <div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  AB = _mm_mul_ps(_mm_shuffle_ps(A,A,0x0F), B);</div> <div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  AB = _mm_sub_ps(AB,_mm_mul_ps(_mm_shuffle_ps(A,A,0xA5), _mm_shuffle_ps(B,B,0x4E)));</div> <div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="comment">// DC = D# * C</span></div> <div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  DC = _mm_mul_ps(_mm_shuffle_ps(D,D,0x0F), C);</div> <div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  DC = _mm_sub_ps(DC,_mm_mul_ps(_mm_shuffle_ps(D,D,0xA5), _mm_shuffle_ps(C,C,0x4E)));</div> <div class="line"><a name="l00087"></a><span class="lineno"> 87</span> </div> <div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="comment">// dA = |A|</span></div> <div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  dA = _mm_mul_ps(_mm_shuffle_ps(A, A, 0x5F),A);</div> <div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  dA = _mm_sub_ss(dA, _mm_movehl_ps(dA,dA));</div> <div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="comment">// dB = |B|</span></div> <div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  dB = _mm_mul_ps(_mm_shuffle_ps(B, B, 0x5F),B);</div> <div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  dB = _mm_sub_ss(dB, _mm_movehl_ps(dB,dB));</div> <div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div> <div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// dC = |C|</span></div> <div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  dC = _mm_mul_ps(_mm_shuffle_ps(C, C, 0x5F),C);</div> <div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  dC = _mm_sub_ss(dC, _mm_movehl_ps(dC,dC));</div> <div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// dD = |D|</span></div> <div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  dD = _mm_mul_ps(_mm_shuffle_ps(D, D, 0x5F),D);</div> <div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  dD = _mm_sub_ss(dD, _mm_movehl_ps(dD,dD));</div> <div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div> <div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="comment">// d = trace(AB*DC) = trace(A#*B*D#*C)</span></div> <div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  d = _mm_mul_ps(_mm_shuffle_ps(DC,DC,0xD8),AB);</div> <div class="line"><a name="l00104"></a><span class="lineno"> 104</span> </div> <div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// iD = C*A#*B</span></div> <div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  iD = _mm_mul_ps(_mm_shuffle_ps(C,C,0xA0), _mm_movelh_ps(AB,AB));</div> <div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  iD = _mm_add_ps(iD,_mm_mul_ps(_mm_shuffle_ps(C,C,0xF5), _mm_movehl_ps(AB,AB)));</div> <div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="comment">// iA = B*D#*C</span></div> <div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  iA = _mm_mul_ps(_mm_shuffle_ps(B,B,0xA0), _mm_movelh_ps(DC,DC));</div> <div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  iA = _mm_add_ps(iA,_mm_mul_ps(_mm_shuffle_ps(B,B,0xF5), _mm_movehl_ps(DC,DC)));</div> <div class="line"><a name="l00111"></a><span class="lineno"> 111</span> </div> <div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="comment">// d = trace(AB*DC) = trace(A#*B*D#*C) [continue]</span></div> <div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  d = _mm_add_ps(d, _mm_movehl_ps(d, d));</div> <div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  d = _mm_add_ss(d, _mm_shuffle_ps(d, d, 1));</div> <div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  d1 = _mm_mul_ss(dA,dD);</div> <div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  d2 = _mm_mul_ss(dB,dC);</div> <div class="line"><a name="l00117"></a><span class="lineno"> 117</span> </div> <div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="comment">// iD = D*|A| - C*A#*B</span></div> <div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  iD = _mm_sub_ps(_mm_mul_ps(D,_mm_shuffle_ps(dA,dA,0)), iD);</div> <div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div> <div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// iA = A*|D| - B*D#*C;</span></div> <div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  iA = _mm_sub_ps(_mm_mul_ps(A,_mm_shuffle_ps(dD,dD,0)), iA);</div> <div class="line"><a name="l00123"></a><span class="lineno"> 123</span> </div> <div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="comment">// det = |A|*|D| + |B|*|C| - trace(A#*B*D#*C)</span></div> <div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  det = _mm_sub_ss(_mm_add_ss(d1,d2),d);</div> <div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  rd = _mm_div_ss(_mm_set_ss(1.0f), det);</div> <div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div> <div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment">// #ifdef ZERO_SINGULAR</span></div> <div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment">// rd = _mm_and_ps(_mm_cmpneq_ss(det,_mm_setzero_ps()), rd);</span></div> <div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment">// #endif</span></div> <div class="line"><a name="l00131"></a><span class="lineno"> 131</span> </div> <div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="comment">// iB = D * (A#B)# = D*B#*A</span></div> <div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  iB = _mm_mul_ps(D, _mm_shuffle_ps(AB,AB,0x33));</div> <div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  iB = _mm_sub_ps(iB, _mm_mul_ps(_mm_shuffle_ps(D,D,0xB1), _mm_shuffle_ps(AB,AB,0x66)));</div> <div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">// iC = A * (D#C)# = A*C#*D</span></div> <div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  iC = _mm_mul_ps(A, _mm_shuffle_ps(DC,DC,0x33));</div> <div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  iC = _mm_sub_ps(iC, _mm_mul_ps(_mm_shuffle_ps(A,A,0xB1), _mm_shuffle_ps(DC,DC,0x66)));</div> <div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div> <div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  rd = _mm_shuffle_ps(rd,rd,0);</div> <div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  rd = _mm_xor_ps(rd, _mm_load_ps((<span class="keywordtype">float</span>*)_Sign_PNNP));</div> <div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div> <div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="comment">// iB = C*|B| - D*B#*A</span></div> <div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  iB = _mm_sub_ps(_mm_mul_ps(C,_mm_shuffle_ps(dB,dB,0)), iB);</div> <div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div> <div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="comment">// iC = B*|C| - A*C#*D;</span></div> <div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  iC = _mm_sub_ps(_mm_mul_ps(B,_mm_shuffle_ps(dC,dC,0)), iC);</div> <div class="line"><a name="l00147"></a><span class="lineno"> 147</span> </div> <div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="comment">// iX = iX / det</span></div> <div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  iA = _mm_mul_ps(rd,iA);</div> <div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  iB = _mm_mul_ps(rd,iB);</div> <div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  iC = _mm_mul_ps(rd,iC);</div> <div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  iD = _mm_mul_ps(rd,iD);</div> <div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div> <div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  result.template writePacket<ResultAlignment>( 0, _mm_shuffle_ps(iA,iB,0x77));</div> <div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  result.template writePacket<ResultAlignment>( 4, _mm_shuffle_ps(iA,iB,0x22));</div> <div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  result.template writePacket<ResultAlignment>( 8, _mm_shuffle_ps(iC,iD,0x77));</div> <div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  result.template writePacket<ResultAlignment>(12, _mm_shuffle_ps(iC,iD,0x22));</div> <div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  }</div> <div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div> <div class="line"><a name="l00160"></a><span class="lineno"> 160</span> };</div> <div class="line"><a name="l00161"></a><span class="lineno"> 161</span> </div> <div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> ResultType></div> <div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="keyword">struct </span>compute_inverse_size4<Architecture::SSE, double, MatrixType, ResultType></div> <div class="line"><a name="l00164"></a><span class="lineno"> 164</span> {</div> <div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keyword">enum</span> {</div> <div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  MatrixAlignment = bool(MatrixType::Flags&<a class="code" href="group__flags.html#ga972a2dcb6603215fa53e0b9e82051426">AlignedBit</a>),</div> <div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  ResultAlignment = bool(ResultType::Flags&<a class="code" href="group__flags.html#ga972a2dcb6603215fa53e0b9e82051426">AlignedBit</a>),</div> <div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  StorageOrdersMatch = (MatrixType::Flags&<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>) == (ResultType::Flags&<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>)</div> <div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  };</div> <div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> MatrixType& matrix, ResultType& result)</div> <div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  {</div> <div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keyword">const</span> __m128d _Sign_NP = _mm_castsi128_pd(_mm_set_epi32(0x0,0x0,0x80000000,0x0));</div> <div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keyword">const</span> __m128d _Sign_PN = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));</div> <div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div> <div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="comment">// The inverse is calculated using "Divide and Conquer" technique. The</span></div> <div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="comment">// original matrix is divide into four 2x2 sub-matrices. Since each</span></div> <div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="comment">// register of the matrix holds two element, the smaller matrices are</span></div> <div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">// consisted of two registers. Hence we get a better locality of the</span></div> <div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="comment">// calculations.</span></div> <div class="line"><a name="l00180"></a><span class="lineno"> 180</span> </div> <div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="comment">// the four sub-matrices</span></div> <div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  __m128d A1, A2, B1, B2, C1, C2, D1, D2;</div> <div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  </div> <div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keywordflow">if</span>(StorageOrdersMatch)</div> <div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  {</div> <div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  A1 = matrix.template packet<MatrixAlignment>( 0); B1 = matrix.template packet<MatrixAlignment>( 2);</div> <div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  A2 = matrix.template packet<MatrixAlignment>( 4); B2 = matrix.template packet<MatrixAlignment>( 6);</div> <div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  C1 = matrix.template packet<MatrixAlignment>( 8); D1 = matrix.template packet<MatrixAlignment>(10);</div> <div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  C2 = matrix.template packet<MatrixAlignment>(12); D2 = matrix.template packet<MatrixAlignment>(14);</div> <div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  }</div> <div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">else</span></div> <div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  {</div> <div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  __m128d tmp;</div> <div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  A1 = matrix.template packet<MatrixAlignment>( 0); C1 = matrix.template packet<MatrixAlignment>( 2);</div> <div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  A2 = matrix.template packet<MatrixAlignment>( 4); C2 = matrix.template packet<MatrixAlignment>( 6);</div> <div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  tmp = A1;</div> <div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  A1 = _mm_unpacklo_pd(A1,A2);</div> <div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  A2 = _mm_unpackhi_pd(tmp,A2);</div> <div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  tmp = C1;</div> <div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  C1 = _mm_unpacklo_pd(C1,C2);</div> <div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  C2 = _mm_unpackhi_pd(tmp,C2);</div> <div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  </div> <div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  B1 = matrix.template packet<MatrixAlignment>( 8); D1 = matrix.template packet<MatrixAlignment>(10);</div> <div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  B2 = matrix.template packet<MatrixAlignment>(12); D2 = matrix.template packet<MatrixAlignment>(14);</div> <div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  tmp = B1;</div> <div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  B1 = _mm_unpacklo_pd(B1,B2);</div> <div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  B2 = _mm_unpackhi_pd(tmp,B2);</div> <div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  tmp = D1;</div> <div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  D1 = _mm_unpacklo_pd(D1,D2);</div> <div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  D2 = _mm_unpackhi_pd(tmp,D2);</div> <div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  }</div> <div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  </div> <div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  __m128d iA1, iA2, iB1, iB2, iC1, iC2, iD1, iD2, <span class="comment">// partial invese of the sub-matrices</span></div> <div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  DC1, DC2, AB1, AB2;</div> <div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  __m128d dA, dB, dC, dD; <span class="comment">// determinant of the sub-matrices</span></div> <div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  __m128d det, d1, d2, rd;</div> <div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div> <div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="comment">// dA = |A|</span></div> <div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  dA = _mm_shuffle_pd(A2, A2, 1);</div> <div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  dA = _mm_mul_pd(A1, dA);</div> <div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  dA = _mm_sub_sd(dA, _mm_shuffle_pd(dA,dA,3));</div> <div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="comment">// dB = |B|</span></div> <div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  dB = _mm_shuffle_pd(B2, B2, 1);</div> <div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  dB = _mm_mul_pd(B1, dB);</div> <div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  dB = _mm_sub_sd(dB, _mm_shuffle_pd(dB,dB,3));</div> <div class="line"><a name="l00226"></a><span class="lineno"> 226</span> </div> <div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="comment">// AB = A# * B</span></div> <div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  AB1 = _mm_mul_pd(B1, _mm_shuffle_pd(A2,A2,3));</div> <div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  AB2 = _mm_mul_pd(B2, _mm_shuffle_pd(A1,A1,0));</div> <div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  AB1 = _mm_sub_pd(AB1, _mm_mul_pd(B2, _mm_shuffle_pd(A1,A1,3)));</div> <div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  AB2 = _mm_sub_pd(AB2, _mm_mul_pd(B1, _mm_shuffle_pd(A2,A2,0)));</div> <div class="line"><a name="l00232"></a><span class="lineno"> 232</span> </div> <div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="comment">// dC = |C|</span></div> <div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  dC = _mm_shuffle_pd(C2, C2, 1);</div> <div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  dC = _mm_mul_pd(C1, dC);</div> <div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  dC = _mm_sub_sd(dC, _mm_shuffle_pd(dC,dC,3));</div> <div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="comment">// dD = |D|</span></div> <div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  dD = _mm_shuffle_pd(D2, D2, 1);</div> <div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  dD = _mm_mul_pd(D1, dD);</div> <div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  dD = _mm_sub_sd(dD, _mm_shuffle_pd(dD,dD,3));</div> <div class="line"><a name="l00241"></a><span class="lineno"> 241</span> </div> <div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="comment">// DC = D# * C</span></div> <div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  DC1 = _mm_mul_pd(C1, _mm_shuffle_pd(D2,D2,3));</div> <div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  DC2 = _mm_mul_pd(C2, _mm_shuffle_pd(D1,D1,0));</div> <div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  DC1 = _mm_sub_pd(DC1, _mm_mul_pd(C2, _mm_shuffle_pd(D1,D1,3)));</div> <div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  DC2 = _mm_sub_pd(DC2, _mm_mul_pd(C1, _mm_shuffle_pd(D2,D2,0)));</div> <div class="line"><a name="l00247"></a><span class="lineno"> 247</span> </div> <div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">// rd = trace(AB*DC) = trace(A#*B*D#*C)</span></div> <div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  d1 = _mm_mul_pd(AB1, _mm_shuffle_pd(DC1, DC2, 0));</div> <div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  d2 = _mm_mul_pd(AB2, _mm_shuffle_pd(DC1, DC2, 3));</div> <div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  rd = _mm_add_pd(d1, d2);</div> <div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  rd = _mm_add_sd(rd, _mm_shuffle_pd(rd, rd,3));</div> <div class="line"><a name="l00253"></a><span class="lineno"> 253</span> </div> <div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="comment">// iD = C*A#*B</span></div> <div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  iD1 = _mm_mul_pd(AB1, _mm_shuffle_pd(C1,C1,0));</div> <div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  iD2 = _mm_mul_pd(AB1, _mm_shuffle_pd(C2,C2,0));</div> <div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  iD1 = _mm_add_pd(iD1, _mm_mul_pd(AB2, _mm_shuffle_pd(C1,C1,3)));</div> <div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  iD2 = _mm_add_pd(iD2, _mm_mul_pd(AB2, _mm_shuffle_pd(C2,C2,3)));</div> <div class="line"><a name="l00259"></a><span class="lineno"> 259</span> </div> <div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="comment">// iA = B*D#*C</span></div> <div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  iA1 = _mm_mul_pd(DC1, _mm_shuffle_pd(B1,B1,0));</div> <div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  iA2 = _mm_mul_pd(DC1, _mm_shuffle_pd(B2,B2,0));</div> <div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  iA1 = _mm_add_pd(iA1, _mm_mul_pd(DC2, _mm_shuffle_pd(B1,B1,3)));</div> <div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  iA2 = _mm_add_pd(iA2, _mm_mul_pd(DC2, _mm_shuffle_pd(B2,B2,3)));</div> <div class="line"><a name="l00265"></a><span class="lineno"> 265</span> </div> <div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="comment">// iD = D*|A| - C*A#*B</span></div> <div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  dA = _mm_shuffle_pd(dA,dA,0);</div> <div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  iD1 = _mm_sub_pd(_mm_mul_pd(D1, dA), iD1);</div> <div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  iD2 = _mm_sub_pd(_mm_mul_pd(D2, dA), iD2);</div> <div class="line"><a name="l00270"></a><span class="lineno"> 270</span> </div> <div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="comment">// iA = A*|D| - B*D#*C;</span></div> <div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  dD = _mm_shuffle_pd(dD,dD,0);</div> <div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  iA1 = _mm_sub_pd(_mm_mul_pd(A1, dD), iA1);</div> <div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  iA2 = _mm_sub_pd(_mm_mul_pd(A2, dD), iA2);</div> <div class="line"><a name="l00275"></a><span class="lineno"> 275</span> </div> <div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  d1 = _mm_mul_sd(dA, dD);</div> <div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  d2 = _mm_mul_sd(dB, dC);</div> <div class="line"><a name="l00278"></a><span class="lineno"> 278</span> </div> <div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="comment">// iB = D * (A#B)# = D*B#*A</span></div> <div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  iB1 = _mm_mul_pd(D1, _mm_shuffle_pd(AB2,AB1,1));</div> <div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  iB2 = _mm_mul_pd(D2, _mm_shuffle_pd(AB2,AB1,1));</div> <div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  iB1 = _mm_sub_pd(iB1, _mm_mul_pd(_mm_shuffle_pd(D1,D1,1), _mm_shuffle_pd(AB2,AB1,2)));</div> <div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  iB2 = _mm_sub_pd(iB2, _mm_mul_pd(_mm_shuffle_pd(D2,D2,1), _mm_shuffle_pd(AB2,AB1,2)));</div> <div class="line"><a name="l00284"></a><span class="lineno"> 284</span> </div> <div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="comment">// det = |A|*|D| + |B|*|C| - trace(A#*B*D#*C)</span></div> <div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  det = _mm_add_sd(d1, d2);</div> <div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  det = _mm_sub_sd(det, rd);</div> <div class="line"><a name="l00288"></a><span class="lineno"> 288</span> </div> <div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="comment">// iC = A * (D#C)# = A*C#*D</span></div> <div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  iC1 = _mm_mul_pd(A1, _mm_shuffle_pd(DC2,DC1,1));</div> <div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  iC2 = _mm_mul_pd(A2, _mm_shuffle_pd(DC2,DC1,1));</div> <div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  iC1 = _mm_sub_pd(iC1, _mm_mul_pd(_mm_shuffle_pd(A1,A1,1), _mm_shuffle_pd(DC2,DC1,2)));</div> <div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  iC2 = _mm_sub_pd(iC2, _mm_mul_pd(_mm_shuffle_pd(A2,A2,1), _mm_shuffle_pd(DC2,DC1,2)));</div> <div class="line"><a name="l00294"></a><span class="lineno"> 294</span> </div> <div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  rd = _mm_div_sd(_mm_set_sd(1.0), det);</div> <div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="comment">// #ifdef ZERO_SINGULAR</span></div> <div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="comment">// rd = _mm_and_pd(_mm_cmpneq_sd(det,_mm_setzero_pd()), rd);</span></div> <div class="line"><a name="l00298"></a><span class="lineno"> 298</span> <span class="comment">// #endif</span></div> <div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  rd = _mm_shuffle_pd(rd,rd,0);</div> <div class="line"><a name="l00300"></a><span class="lineno"> 300</span> </div> <div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="comment">// iB = C*|B| - D*B#*A</span></div> <div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  dB = _mm_shuffle_pd(dB,dB,0);</div> <div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  iB1 = _mm_sub_pd(_mm_mul_pd(C1, dB), iB1);</div> <div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  iB2 = _mm_sub_pd(_mm_mul_pd(C2, dB), iB2);</div> <div class="line"><a name="l00305"></a><span class="lineno"> 305</span> </div> <div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  d1 = _mm_xor_pd(rd, _Sign_PN);</div> <div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  d2 = _mm_xor_pd(rd, _Sign_NP);</div> <div class="line"><a name="l00308"></a><span class="lineno"> 308</span> </div> <div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="comment">// iC = B*|C| - A*C#*D;</span></div> <div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  dC = _mm_shuffle_pd(dC,dC,0);</div> <div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  iC1 = _mm_sub_pd(_mm_mul_pd(B1, dC), iC1);</div> <div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  iC2 = _mm_sub_pd(_mm_mul_pd(B2, dC), iC2);</div> <div class="line"><a name="l00313"></a><span class="lineno"> 313</span> </div> <div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  result.template writePacket<ResultAlignment>( 0, _mm_mul_pd(_mm_shuffle_pd(iA2, iA1, 3), d1)); <span class="comment">// iA# / det</span></div> <div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  result.template writePacket<ResultAlignment>( 4, _mm_mul_pd(_mm_shuffle_pd(iA2, iA1, 0), d2));</div> <div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  result.template writePacket<ResultAlignment>( 2, _mm_mul_pd(_mm_shuffle_pd(iB2, iB1, 3), d1)); <span class="comment">// iB# / det</span></div> <div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  result.template writePacket<ResultAlignment>( 6, _mm_mul_pd(_mm_shuffle_pd(iB2, iB1, 0), d2));</div> <div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  result.template writePacket<ResultAlignment>( 8, _mm_mul_pd(_mm_shuffle_pd(iC2, iC1, 3), d1)); <span class="comment">// iC# / det</span></div> <div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  result.template writePacket<ResultAlignment>(12, _mm_mul_pd(_mm_shuffle_pd(iC2, iC1, 0), d2));</div> <div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  result.template writePacket<ResultAlignment>(10, _mm_mul_pd(_mm_shuffle_pd(iD2, iD1, 3), d1)); <span class="comment">// iD# / det</span></div> <div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  result.template writePacket<ResultAlignment>(14, _mm_mul_pd(_mm_shuffle_pd(iD2, iD1, 0), d2));</div> <div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  }</div> <div class="line"><a name="l00323"></a><span class="lineno"> 323</span> };</div> <div class="line"><a name="l00324"></a><span class="lineno"> 324</span> </div> <div class="line"><a name="l00325"></a><span class="lineno"> 325</span> } <span class="comment">// end namespace internal</span></div> <div class="line"><a name="l00326"></a><span class="lineno"> 326</span> </div> <div class="line"><a name="l00327"></a><span class="lineno"> 327</span> } <span class="comment">// end namespace Eigen</span></div> <div class="line"><a name="l00328"></a><span class="lineno"> 328</span> </div> <div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="preprocessor">#endif // EIGEN_INVERSE_SSE_H</span></div> <div class="ttc" id="group__flags_html_ga7bd49e7b260e869e10fb9dc4fd081a85"><div class="ttname"><a href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">Eigen::RowMajorBit</a></div><div class="ttdeci">const unsigned int RowMajorBit</div><div class="ttdef"><b>Definition:</b> Constants.h:53</div></div> <div class="ttc" id="group__flags_html_ga972a2dcb6603215fa53e0b9e82051426"><div class="ttname"><a href="group__flags.html#ga972a2dcb6603215fa53e0b9e82051426">Eigen::AlignedBit</a></div><div class="ttdeci">const unsigned int AlignedBit</div><div class="ttdef"><b>Definition:</b> Constants.h:147</div></div> </div><!-- fragment --></div><!-- contents --> </div><!-- doc-content --> <!-- start footer part --> <div id="nav-path" class="navpath"><!-- id is needed for treeview function! --> <ul> <li class="navelem"><a class="el" href="dir_e49d68e3078f12dfcf157021597ad168.html">Eigen</a></li><li class="navelem"><a class="el" href="dir_64b228556dc7f9fe757d43bb57fbfc24.html">src</a></li><li class="navelem"><a class="el" href="dir_d15b497c3e11b9cf85ea937703c5f6ae.html">LU</a></li><li class="navelem"><a class="el" href="dir_0b238642d26dc1fa21958505524c99b2.html">arch</a></li><li class="navelem"><b>Inverse_SSE.h</b></li> <li class="footer">Generated on Mon Oct 28 2013 11:04:24 for Eigen by <a href="http://www.doxygen.org/index.html"> <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.5 </li> </ul> </div> <!-- Piwik --> <!-- <script type="text/javascript"> var pkBaseURL = (("https:" == document.location.protocol) ? "https://stats.sylphide-consulting.com/piwik/" : "http://stats.sylphide-consulting.com/piwik/"); document.write(unescape("%3Cscript src='" + pkBaseURL + "piwik.js' type='text/javascript'%3E%3C/script%3E")); </script><script type="text/javascript"> try { var piwikTracker = Piwik.getTracker(pkBaseURL + "piwik.php", 20); piwikTracker.trackPageView(); piwikTracker.enableLinkTracking(); } catch( err ) {} </script><noscript><p><img src="http://stats.sylphide-consulting.com/piwik/piwik.php?idsite=20" style="border:0" alt="" /></p></noscript> --> <!-- End Piwik Tracking Code --> </body> </html>