<!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: Hyperplane.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('Hyperplane_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">Hyperplane.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) 2008 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// Copyright (C) 2008 Benoit Jacob <jacob.benoit.1@gmail.com></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_HYPERPLANE_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_HYPERPLANE_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="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">template</span> <<span class="keyword">typename</span> _Scalar, <span class="keywordtype">int</span> _AmbientDim, <span class="keywordtype">int</span> _Options></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">class </span>Hyperplane</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="keyword">public</span>:</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(_Scalar,_AmbientDim==<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> ? <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> : _AmbientDim+1)</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  enum {</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  AmbientDimAtCompileTime = _AmbientDim,</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  Options = _Options</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>  <span class="keyword">typedef</span> _Scalar Scalar;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits<Scalar>::Real RealScalar;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keyword">typedef</span> DenseIndex Index;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keyword">typedef</span> Matrix<Scalar,AmbientDimAtCompileTime,1> VectorType;</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keyword">typedef</span> Matrix<Scalar,Index(AmbientDimAtCompileTime)==<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  ? <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  : Index(AmbientDimAtCompileTime)+1,1,Options> Coefficients;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keyword">typedef</span> Block<Coefficients,AmbientDimAtCompileTime,1> NormalReturnType;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keyword">typedef</span> <span class="keyword">const</span> Block<const Coefficients,AmbientDimAtCompileTime,1> ConstNormalReturnType;</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#af5da8814bd3fb91f730302692c736069"> 53</a></span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Hyperplane.html#af5da8814bd3fb91f730302692c736069">Hyperplane</a>() {}</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keyword">template</span><<span class="keywordtype">int</span> OtherOptions></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="classEigen_1_1Hyperplane.html#af5da8814bd3fb91f730302692c736069">Hyperplane</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane<Scalar,AmbientDimAtCompileTime,OtherOptions></a>& other)</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  : m_coeffs(other.<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>())</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> </div>
<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#acd150a51ba003162b7a3d919b6b11341"> 62</a></span>  <span class="keyword">inline</span> <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1Hyperplane.html#acd150a51ba003162b7a3d919b6b11341">Hyperplane</a>(Index _dim) : m_coeffs(_dim+1) {}</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#ad3ab0f5ce565bb0561e5dd3d82358c0e"> 67</a></span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Hyperplane.html#ad3ab0f5ce565bb0561e5dd3d82358c0e">Hyperplane</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& n, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& e)</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  : m_coeffs(n.size()+1)</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  {</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>() = n;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <a class="code" href="classEigen_1_1Hyperplane.html#a32ddf277ab2a650e7d520bcbbc09fb99">offset</a>() = -n.dot(e);</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> </div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a16de15865999fc85f912727fdaaa16f2"> 78</a></span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Hyperplane.html#a16de15865999fc85f912727fdaaa16f2">Hyperplane</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& n, <span class="keyword">const</span> Scalar& d)</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  : m_coeffs(n.size()+1)</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>  <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>() = n;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="classEigen_1_1Hyperplane.html#a32ddf277ab2a650e7d520bcbbc09fb99">offset</a>() = d;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  }</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a10fad5ae000f23b20ebc9e54ed7202dd"> 88</a></span>  <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane</a> <a class="code" href="classEigen_1_1Hyperplane.html#a10fad5ae000f23b20ebc9e54ed7202dd">Through</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& p0, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& p1)</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  {</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane</a> result(p0.size());</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  result.<a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>() = (p1 - p0).unitOrthogonal();</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  result.offset() = -p0.dot(result.normal());</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">return</span> result;</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> </div>
<div class="line"><a name="l00099"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#aabfcda23a80edfd62387bb3d930f4b96"> 99</a></span>  <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane</a> <a class="code" href="classEigen_1_1Hyperplane.html#aabfcda23a80edfd62387bb3d930f4b96">Through</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& p0, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& p1, <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& p2)</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  {</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(<a class="code" href="classEigen_1_1Matrix.html">VectorType</a>, 3)</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane</a> result(p0.size());</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  result.<a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>() = (p2 - p0).cross(p1 - p0).normalized();</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  result.offset() = -p0.dot(result.normal());</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  }</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="comment">// FIXME to be consitent with the rest this could be implemented as a static Through function ??</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a7e93264afdcb9e5e762413df10bad3dd"> 113</a></span>  <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1Hyperplane.html#a7e93264afdcb9e5e762413df10bad3dd">Hyperplane</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1ParametrizedLine.html">ParametrizedLine<Scalar, AmbientDimAtCompileTime></a>& parametrized)</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  {</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>() = parametrized.direction().unitOrthogonal();</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="classEigen_1_1Hyperplane.html#a32ddf277ab2a650e7d520bcbbc09fb99">offset</a>() = -parametrized.origin().dot(<a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>());</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> </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  ~<a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane</a>() {}</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a name="l00122"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a8809dd8f7c45e11b3f62c3fcf0175e68"> 122</a></span>  <span class="keyword">inline</span> Index <a class="code" href="classEigen_1_1Hyperplane.html#a8809dd8f7c45e11b3f62c3fcf0175e68">dim</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> AmbientDimAtCompileTime==<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> ? m_coeffs.size()-1 : Index(AmbientDimAtCompileTime); }</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> </div>
<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a7494eb6e7ee0d104f3a01dcceed8607a"> 125</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1Hyperplane.html#a7494eb6e7ee0d104f3a01dcceed8607a">normalize</a>(<span class="keywordtype">void</span>)</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  {</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  m_coeffs /= <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>().norm();</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  }</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> </div>
<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#aacd139793b951a521e0e5147a4793d9c"> 133</a></span>  <span class="keyword">inline</span> Scalar <a class="code" href="classEigen_1_1Hyperplane.html#aacd139793b951a521e0e5147a4793d9c">signedDistance</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& p)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>().dot(p) + <a class="code" href="classEigen_1_1Hyperplane.html#a32ddf277ab2a650e7d520bcbbc09fb99">offset</a>(); }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00138"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a8383bb22fa5f6024856f2c781f6ec0db"> 138</a></span>  <span class="keyword">inline</span> Scalar <a class="code" href="classEigen_1_1Hyperplane.html#a8383bb22fa5f6024856f2c781f6ec0db">absDistance</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& p)<span class="keyword"> const </span>{ <span class="keyword">using</span> std::abs; <span class="keywordflow">return</span> abs(<a class="code" href="classEigen_1_1Hyperplane.html#aacd139793b951a521e0e5147a4793d9c">signedDistance</a>(p)); }</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#ac93039c47cde2b60b29d99f3e1a7dc71"> 142</a></span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> <a class="code" href="classEigen_1_1Hyperplane.html#ac93039c47cde2b60b29d99f3e1a7dc71">projection</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>& p)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> p - <a class="code" href="classEigen_1_1Hyperplane.html#aacd139793b951a521e0e5147a4793d9c">signedDistance</a>(p) * <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>(); }</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad"> 147</a></span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Block.html">ConstNormalReturnType</a> <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Block.html">ConstNormalReturnType</a>(m_coeffs,0,0,<a class="code" href="classEigen_1_1Hyperplane.html#a8809dd8f7c45e11b3f62c3fcf0175e68">dim</a>(),1); }</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a name="l00152"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a115e276ad412ed6378e3291095132591"> 152</a></span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Block.html">NormalReturnType</a> <a class="code" href="classEigen_1_1Hyperplane.html#a115e276ad412ed6378e3291095132591">normal</a>() { <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Block.html">NormalReturnType</a>(m_coeffs,0,0,<a class="code" href="classEigen_1_1Hyperplane.html#a8809dd8f7c45e11b3f62c3fcf0175e68">dim</a>(),1); }</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a32ddf277ab2a650e7d520bcbbc09fb99"> 157</a></span>  <span class="keyword">inline</span> <span class="keyword">const</span> Scalar& <a class="code" href="classEigen_1_1Hyperplane.html#a32ddf277ab2a650e7d520bcbbc09fb99">offset</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs.coeff(<a class="code" href="classEigen_1_1Hyperplane.html#a8809dd8f7c45e11b3f62c3fcf0175e68">dim</a>()); }</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div>
<div class="line"><a name="l00161"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a12c3df61f19531230e282a879b605842"> 161</a></span>  <span class="keyword">inline</span> Scalar& <a class="code" href="classEigen_1_1Hyperplane.html#a12c3df61f19531230e282a879b605842">offset</a>() { <span class="keywordflow">return</span> m_coeffs(<a class="code" href="classEigen_1_1Hyperplane.html#a8809dd8f7c45e11b3f62c3fcf0175e68">dim</a>()); }</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> </div>
<div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b"> 166</a></span>  <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="classEigen_1_1Matrix.html">Coefficients</a>& <a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_coeffs; }</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a name="l00171"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a1617ce16af4ff4c65d2155848f2ea161"> 171</a></span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Matrix.html">Coefficients</a>& <a class="code" href="classEigen_1_1Hyperplane.html#a1617ce16af4ff4c65d2155848f2ea161">coeffs</a>() { <span class="keywordflow">return</span> m_coeffs; }</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> </div>
<div class="line"><a name="l00179"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#ad10ca15c93ee4d825f92a2c4563ed678"> 179</a></span>  <a class="code" href="classEigen_1_1Matrix.html">VectorType</a> <a class="code" href="classEigen_1_1Hyperplane.html#ad10ca15c93ee4d825f92a2c4563ed678">intersection</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane</a>& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keyword">using</span> std::abs;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(<a class="code" href="classEigen_1_1Matrix.html">VectorType</a>, 2)</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  Scalar det = <a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(0) * other.coeffs().coeff(1) - <a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(1) * other.coeffs().coeff(0);</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="comment">// since the line equations ax+by=c are normalized with a^2+b^2=1, the following tests</span></div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="comment">// whether the two lines are approximately parallel.</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">if</span>(internal::isMuchSmallerThan(det, Scalar(1)))</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  { <span class="comment">// special case where the two lines are approximately parallel. Pick any point on the first line.</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">if</span>(abs(<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(1))>abs(<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(0)))</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>(<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(1), -<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(2)/<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(1)-<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(0));</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>(-<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(2)/<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(0)-<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(1), <a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(0));</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>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  { <span class="comment">// general case</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  Scalar invdet = Scalar(1) / det;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Matrix.html">VectorType</a>(invdet*(<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(1)*other.coeffs().coeff(2)-other.coeffs().coeff(1)*<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(2)),</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  invdet*(other.coeffs().coeff(0)*<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(2)-<a class="code" href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">coeffs</a>().coeff(0)*other.coeffs().coeff(2)));</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  }</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  }</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> </div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">template</span><<span class="keyword">typename</span> XprType></div>
<div class="line"><a name="l00208"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a35877b483d288e5c4569163b41e79ecc"> 208</a></span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane</a>& <a class="code" href="classEigen_1_1Hyperplane.html#a35877b483d288e5c4569163b41e79ecc">transform</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase<XprType></a>& mat, <a class="code" href="group__enums.html#ga302a826315506a7217d4b477ea78425f">TransformTraits</a> traits = <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Affine</a>)</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  {</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordflow">if</span> (traits==<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Affine</a>)</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>() = mat.<a class="code" href="classEigen_1_1MatrixBase.html#aa2834da4c855fa35fed8c4030f79f9da">inverse</a>().transpose() * <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>();</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (traits==<a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac6ccc3814bb6d2a8bf7f75d7131c6b17">Isometry</a>)</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>() = mat * <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>();</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  {</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  eigen_assert(0 && <span class="stringliteral">"invalid traits value in Hyperplane::transform()"</span>);</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="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  }</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> </div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keyword">template</span><<span class="keywordtype">int</span> TrOptions></div>
<div class="line"><a name="l00229"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#ae5243c6aa230fcd95572c3a99cdd014d"> 229</a></span>  <span class="keyword">inline</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane</a>& <a class="code" href="classEigen_1_1Hyperplane.html#ae5243c6aa230fcd95572c3a99cdd014d">transform</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Transform.html">Transform<Scalar,AmbientDimAtCompileTime,Affine,TrOptions></a>& t,</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <a class="code" href="group__enums.html#ga302a826315506a7217d4b477ea78425f">TransformTraits</a> traits = <a class="code" href="group__enums.html#gga302a826315506a7217d4b477ea78425fac0984f0c0fc7cdcea1c0bde170f9c925">Affine</a>)</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  {</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="classEigen_1_1Hyperplane.html#a35877b483d288e5c4569163b41e79ecc">transform</a>(t.<a class="code" href="classEigen_1_1Transform.html#abbee559820c5cdfe7653a646396b0a8f">linear</a>(), traits);</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <a class="code" href="classEigen_1_1Hyperplane.html#a32ddf277ab2a650e7d520bcbbc09fb99">offset</a>() -= <a class="code" href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">normal</a>().dot(t.<a class="code" href="classEigen_1_1Transform.html#a4619e6e4e0659443ad2bdb24c80af281">translation</a>());</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  }</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keyword">template</span><<span class="keyword">typename</span> NewScalarType></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keyword">inline</span> <span class="keyword">typename</span> internal::cast_return_type<<a class="code" href="classEigen_1_1Hyperplane.html#af5da8814bd3fb91f730302692c736069">Hyperplane</a>,</div>
<div class="line"><a name="l00244"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#ad8e93f5ebbfdfeaafbdce587c389c26b"> 244</a></span>  <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane<NewScalarType,AmbientDimAtCompileTime,Options></a> >::type <a class="code" href="classEigen_1_1Hyperplane.html#ad8e93f5ebbfdfeaafbdce587c389c26b">cast</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">return</span> <span class="keyword">typename</span> internal::cast_return_type<<a class="code" href="classEigen_1_1Hyperplane.html#af5da8814bd3fb91f730302692c736069">Hyperplane</a>,</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane<NewScalarType,AmbientDimAtCompileTime,Options></a> >::type(*<span class="keyword">this</span>);</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  }</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">template</span><<span class="keyword">typename</span> OtherScalarType,<span class="keywordtype">int</span> OtherOptions></div>
<div class="line"><a name="l00252"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#a079adfa5d26ae1f00de7f756a0d2c00b"> 252</a></span>  <span class="keyword">inline</span> <span class="keyword">explicit</span> <a class="code" href="classEigen_1_1Hyperplane.html#a079adfa5d26ae1f00de7f756a0d2c00b">Hyperplane</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane<OtherScalarType,AmbientDimAtCompileTime,OtherOptions></a>& other)</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  { m_coeffs = other.coeffs().template cast<Scalar>(); }</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> </div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keyword">template</span><<span class="keywordtype">int</span> OtherOptions></div>
<div class="line"><a name="l00260"></a><span class="lineno"><a class="line" href="classEigen_1_1Hyperplane.html#ae3f0cc3141ee484c2e1a8a391a47c624"> 260</a></span>  <span class="keywordtype">bool</span> <a class="code" href="classEigen_1_1Hyperplane.html#ae3f0cc3141ee484c2e1a8a391a47c624">isApprox</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1Hyperplane.html">Hyperplane<Scalar,AmbientDimAtCompileTime,OtherOptions></a>& other, <span class="keyword">const</span> <span class="keyword">typename</span> <a class="code" href="structEigen_1_1NumTraits.html">NumTraits<Scalar>::Real</a>& prec = <a class="code" href="structEigen_1_1NumTraits.html">NumTraits<Scalar>::dummy_precision</a>())<span class="keyword"> const</span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="keyword"> </span>{ <span class="keywordflow">return</span> m_coeffs.isApprox(other.m_coeffs, prec); }</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> </div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  Coefficients m_coeffs;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> };</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> </div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> </div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="preprocessor">#endif // EIGEN_HYPERPLANE_H</span></div>
<div class="ttc" id="classEigen_1_1Transform_html_abbee559820c5cdfe7653a646396b0a8f"><div class="ttname"><a href="classEigen_1_1Transform.html#abbee559820c5cdfe7653a646396b0a8f">Eigen::Transform::linear</a></div><div class="ttdeci">ConstLinearPart linear() const </div><div class="ttdef"><b>Definition:</b> Transform.h:372</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a115e276ad412ed6378e3291095132591"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a115e276ad412ed6378e3291095132591">Eigen::Hyperplane::normal</a></div><div class="ttdeci">NormalReturnType normal()</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:152</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_ae5243c6aa230fcd95572c3a99cdd014d"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#ae5243c6aa230fcd95572c3a99cdd014d">Eigen::Hyperplane::transform</a></div><div class="ttdeci">Hyperplane & transform(const Transform< Scalar, AmbientDimAtCompileTime, Affine, TrOptions > &t, TransformTraits traits=Affine)</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:229</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_ad3ab0f5ce565bb0561e5dd3d82358c0e"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#ad3ab0f5ce565bb0561e5dd3d82358c0e">Eigen::Hyperplane::Hyperplane</a></div><div class="ttdeci">Hyperplane(const VectorType &n, const VectorType &e)</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:67</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a7e93264afdcb9e5e762413df10bad3dd"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a7e93264afdcb9e5e762413df10bad3dd">Eigen::Hyperplane::Hyperplane</a></div><div class="ttdeci">Hyperplane(const ParametrizedLine< Scalar, AmbientDimAtCompileTime > &parametrized)</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:113</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_af5da8814bd3fb91f730302692c736069"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#af5da8814bd3fb91f730302692c736069">Eigen::Hyperplane::Hyperplane</a></div><div class="ttdeci">Hyperplane()</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:53</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_ad8e93f5ebbfdfeaafbdce587c389c26b"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#ad8e93f5ebbfdfeaafbdce587c389c26b">Eigen::Hyperplane::cast</a></div><div class="ttdeci">internal::cast_return_type< Hyperplane, Hyperplane< NewScalarType, AmbientDimAtCompileTime, Options > >::type cast() const </div><div class="ttdef"><b>Definition:</b> Hyperplane.h:244</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a67d7e844f940f6ca2673eadacaf08b3b"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a67d7e844f940f6ca2673eadacaf08b3b">Eigen::Hyperplane::coeffs</a></div><div class="ttdeci">const Coefficients & coeffs() const </div><div class="ttdef"><b>Definition:</b> Hyperplane.h:166</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_aabfcda23a80edfd62387bb3d930f4b96"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#aabfcda23a80edfd62387bb3d930f4b96">Eigen::Hyperplane::Through</a></div><div class="ttdeci">static Hyperplane Through(const VectorType &p0, const VectorType &p1, const VectorType &p2)</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:99</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="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_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_1Hyperplane_html_a8809dd8f7c45e11b3f62c3fcf0175e68"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a8809dd8f7c45e11b3f62c3fcf0175e68">Eigen::Hyperplane::dim</a></div><div class="ttdeci">Index dim() const </div><div class="ttdef"><b>Definition:</b> Hyperplane.h:122</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="classEigen_1_1Hyperplane_html_ad10ca15c93ee4d825f92a2c4563ed678"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#ad10ca15c93ee4d825f92a2c4563ed678">Eigen::Hyperplane::intersection</a></div><div class="ttdeci">VectorType intersection(const Hyperplane &other) const </div><div class="ttdef"><b>Definition:</b> Hyperplane.h:179</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a079adfa5d26ae1f00de7f756a0d2c00b"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a079adfa5d26ae1f00de7f756a0d2c00b">Eigen::Hyperplane::Hyperplane</a></div><div class="ttdeci">Hyperplane(const Hyperplane< OtherScalarType, AmbientDimAtCompileTime, OtherOptions > &other)</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:252</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_acd150a51ba003162b7a3d919b6b11341"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#acd150a51ba003162b7a3d919b6b11341">Eigen::Hyperplane::Hyperplane</a></div><div class="ttdeci">Hyperplane(Index _dim)</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:62</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a10fad5ae000f23b20ebc9e54ed7202dd"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a10fad5ae000f23b20ebc9e54ed7202dd">Eigen::Hyperplane::Through</a></div><div class="ttdeci">static Hyperplane Through(const VectorType &p0, const VectorType &p1)</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:88</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_1MatrixBase_html_aa2834da4c855fa35fed8c4030f79f9da"><div class="ttname"><a href="classEigen_1_1MatrixBase.html#aa2834da4c855fa35fed8c4030f79f9da">Eigen::MatrixBase::inverse</a></div><div class="ttdeci">const internal::inverse_impl< Derived > inverse() const </div><div class="ttdef"><b>Definition:</b> Inverse.h:320</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a12c3df61f19531230e282a879b605842"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a12c3df61f19531230e282a879b605842">Eigen::Hyperplane::offset</a></div><div class="ttdeci">Scalar & offset()</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:161</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html"><div class="ttname"><a href="classEigen_1_1Hyperplane.html">Eigen::Hyperplane</a></div><div class="ttdoc">A hyperplane. </div><div class="ttdef"><b>Definition:</b> ForwardDeclarations.h:263</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a1617ce16af4ff4c65d2155848f2ea161"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a1617ce16af4ff4c65d2155848f2ea161">Eigen::Hyperplane::coeffs</a></div><div class="ttdeci">Coefficients & coeffs()</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:171</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_aacd139793b951a521e0e5147a4793d9c"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#aacd139793b951a521e0e5147a4793d9c">Eigen::Hyperplane::signedDistance</a></div><div class="ttdeci">Scalar signedDistance(const VectorType &p) const </div><div class="ttdef"><b>Definition:</b> Hyperplane.h:133</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a16de15865999fc85f912727fdaaa16f2"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a16de15865999fc85f912727fdaaa16f2">Eigen::Hyperplane::Hyperplane</a></div><div class="ttdeci">Hyperplane(const VectorType &n, const Scalar &d)</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:78</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a35877b483d288e5c4569163b41e79ecc"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a35877b483d288e5c4569163b41e79ecc">Eigen::Hyperplane::transform</a></div><div class="ttdeci">Hyperplane & transform(const MatrixBase< XprType > &mat, TransformTraits traits=Affine)</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:208</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_1Hyperplane_html_ac93039c47cde2b60b29d99f3e1a7dc71"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#ac93039c47cde2b60b29d99f3e1a7dc71">Eigen::Hyperplane::projection</a></div><div class="ttdeci">VectorType projection(const VectorType &p) const </div><div class="ttdef"><b>Definition:</b> Hyperplane.h:142</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_ace24c10a33475a675f45cfbf085378ad"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#ace24c10a33475a675f45cfbf085378ad">Eigen::Hyperplane::normal</a></div><div class="ttdeci">ConstNormalReturnType normal() const </div><div class="ttdef"><b>Definition:</b> Hyperplane.h:147</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a32ddf277ab2a650e7d520bcbbc09fb99"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a32ddf277ab2a650e7d520bcbbc09fb99">Eigen::Hyperplane::offset</a></div><div class="ttdeci">const Scalar & offset() const </div><div class="ttdef"><b>Definition:</b> Hyperplane.h:157</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a7494eb6e7ee0d104f3a01dcceed8607a"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a7494eb6e7ee0d104f3a01dcceed8607a">Eigen::Hyperplane::normalize</a></div><div class="ttdeci">void normalize(void)</div><div class="ttdef"><b>Definition:</b> Hyperplane.h:125</div></div>
<div class="ttc" id="classEigen_1_1Matrix_html"><div class="ttname"><a href="classEigen_1_1Matrix.html">Eigen::Matrix< Scalar, AmbientDimAtCompileTime, 1 ></a></div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_a8383bb22fa5f6024856f2c781f6ec0db"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#a8383bb22fa5f6024856f2c781f6ec0db">Eigen::Hyperplane::absDistance</a></div><div class="ttdeci">Scalar absDistance(const VectorType &p) const </div><div class="ttdef"><b>Definition:</b> Hyperplane.h:138</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_1ParametrizedLine_html"><div class="ttname"><a href="classEigen_1_1ParametrizedLine.html">Eigen::ParametrizedLine</a></div><div class="ttdoc">A parametrized line. </div><div class="ttdef"><b>Definition:</b> ForwardDeclarations.h:262</div></div>
<div class="ttc" id="classEigen_1_1Transform_html"><div class="ttname"><a href="classEigen_1_1Transform.html">Eigen::Transform</a></div><div class="ttdoc">Represents an homogeneous transformation in a N dimensional space. </div><div class="ttdef"><b>Definition:</b> ForwardDeclarations.h:261</div></div>
<div class="ttc" id="classEigen_1_1Hyperplane_html_ae3f0cc3141ee484c2e1a8a391a47c624"><div class="ttname"><a href="classEigen_1_1Hyperplane.html#ae3f0cc3141ee484c2e1a8a391a47c624">Eigen::Hyperplane::isApprox</a></div><div class="ttdeci">bool isApprox(const Hyperplane< Scalar, AmbientDimAtCompileTime, OtherOptions > &other, const typename NumTraits< Scalar >::Real &prec=NumTraits< Scalar >::dummy_precision()) const </div><div class="ttdef"><b>Definition:</b> Hyperplane.h:260</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_d3830aef5e02ff83b0a743a58bf9d99e.html">Geometry</a></li><li class="navelem"><b>Hyperplane.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>
